* [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 * * * * [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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify 1 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify 1 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify 1 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) 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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (* 1/4 PI) 2) 2) into (* 1/32 (pow PI 2)) * [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 (/ (pow (* 1/4 PI) 2) 2) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (* 1/32 (pow PI 2)) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 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)) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (* 1/4 PI) 3) 6) 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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (* 1/4 PI) 3) 6) 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 (+ (* (* 1/192 (pow PI 3)) (pow f 3)) (+ (* (* 1/16 (pow PI 2)) (pow f 2)) (* (* 1/2 PI) f))) into (+ (* 1/16 (* (pow f 2) (pow PI 2))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 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 into 1 * [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)))) 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 into 1 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (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 into 1 * [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)))) 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 into 1 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (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 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 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 0 into 0 * [misc]backup-simplify: Simplify 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 into -1 * [misc]backup-simplify: Simplify (* -1 (* 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))))) 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 into -1 * [misc]backup-simplify: Simplify (* -1 (* 1/4 PI)) 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 into -1 * [misc]backup-simplify: Simplify (* -1 (* 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))))) 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 into -1 * [misc]backup-simplify: Simplify (* -1 (* 1/4 PI)) 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 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 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 0 into 0 * [misc]backup-simplify: Simplify 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify 1 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify 1 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify 1 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify 1 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify 1 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify 1 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) 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 (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (* 1/4 PI) 2) 2) into (* 1/32 (pow PI 2)) * [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 (/ (pow (* 1/4 PI) 2) 2) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (* 1/32 (pow PI 2)) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (/ (* 1/2 PI) (* 1/2 PI)) (* (/ 4 PI) (/ (* 1/16 (pow PI 2)) (* 1/2 PI)))) into 3/2 * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (* 1/4 PI) 2) 2) into (* 1/32 (pow PI 2)) * [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 (/ (pow (* 1/4 PI) 2) 2) 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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (* 1/4 PI) 3) 6) 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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (* 1/4 PI) 3) 6) 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))) (* 3/2 (/ (* 1/16 (pow PI 2)) (* 1/2 PI))))) into (* 17/48 PI) * [misc]backup-simplify: Simplify (* 17/48 PI) into (* 17/48 PI) * [misc]backup-simplify: Simplify (+ 3/2 (+ (* (* 17/48 PI) f) (* (/ 4 PI) (/ 1 f)))) into (+ (* 4 (/ 1 (* PI f))) (+ (* 17/48 (* f PI)) 3/2)) * [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 into 1 * [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)))) 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 into 1 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (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 into 1 * [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)))) 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 into 1 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (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 1 * [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 into 1 * [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)))) 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 into 1 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (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 into 1 * [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)))) 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 into 1 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (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 1 * [misc]backup-simplify: Simplify 1 into 1 * [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 (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (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 1 into 1 * [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 into -1 * [misc]backup-simplify: Simplify (* -1 (* 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))))) 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 into -1 * [misc]backup-simplify: Simplify (* -1 (* 1/4 PI)) 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 into -1 * [misc]backup-simplify: Simplify (* -1 (* 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))))) 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 into -1 * [misc]backup-simplify: Simplify (* -1 (* 1/4 PI)) 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 1 * [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 into -1 * [misc]backup-simplify: Simplify (* -1 (* 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))))) 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 into -1 * [misc]backup-simplify: Simplify (* -1 (* 1/4 PI)) 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 into -1 * [misc]backup-simplify: Simplify (* -1 (* 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))))) 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 into -1 * [misc]backup-simplify: Simplify (* -1 (* 1/4 PI)) 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 1 * [misc]backup-simplify: Simplify 1 into 1 * [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 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (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 1 into 1 * * * * [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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify 1 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify 1 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify 1 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify 1 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify 1 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify 1 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) 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 (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (* 1/4 PI) 2) 2) into (* 1/32 (pow PI 2)) * [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 (/ (pow (* 1/4 PI) 2) 2) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (* 1/32 (pow PI 2)) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (/ (* 1/2 PI) (* 1/2 PI)) (* (/ 4 PI) (/ (* 1/16 (pow PI 2)) (* 1/2 PI)))) into 3/2 * [misc]backup-simplify: Simplify (/ 3/2 (/ 4 PI)) into (* 3/8 PI) * [misc]backup-simplify: Simplify 0 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) (* 3/8 PI)) into 3/2 * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (* 1/4 PI) 2) 2) into (* 1/32 (pow PI 2)) * [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 (/ (pow (* 1/4 PI) 2) 2) 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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (* 1/4 PI) 3) 6) 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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (* 1/4 PI) 3) 6) 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))) (* 3/2 (/ (* 1/16 (pow PI 2)) (* 1/2 PI))))) into (* 17/48 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 9/4 (pow (/ 4 PI) 2))) (/ (* 2 (* 17/48 PI)) (/ 4 PI))) 2) into (* 7/384 (pow PI 2)) * [misc]backup-simplify: Simplify 0 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) (* 7/384 (pow PI 2))) into (* 7/96 PI) * [misc]backup-simplify: Simplify (* 7/96 PI) into (* 7/96 PI) * [misc]backup-simplify: Simplify (+ (* (* 7/96 PI) (pow f 2)) (+ (* 3/2 f) (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)))) into (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (+ (* 7/96 (* (pow f 2) PI)) (* 3/2 f))) (* 4 (/ (log f) PI))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [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)))) 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 into 1 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (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 into 1 * [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)))) 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 into 1 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (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 1 * [misc]backup-simplify: Simplify 0 into 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 into 1 * [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)))) 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 into 1 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (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 into 1 * [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)))) 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 into 1 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (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 1 * [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 (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 4 PI) (/ 0 (* 1/4 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 4 PI) (/ 0 (* 1/4 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 4 PI) (/ 0 (* 1/4 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 4 PI) (/ 0 (* 1/4 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 4 PI) (/ 0 (* 1/4 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 into -1 * [misc]backup-simplify: Simplify (* -1 (* 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))))) 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 into -1 * [misc]backup-simplify: Simplify (* -1 (* 1/4 PI)) 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 into -1 * [misc]backup-simplify: Simplify (* -1 (* 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))))) 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 into -1 * [misc]backup-simplify: Simplify (* -1 (* 1/4 PI)) 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 1 * [misc]backup-simplify: Simplify 0 into 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 into -1 * [misc]backup-simplify: Simplify (* -1 (* 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))))) 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 into -1 * [misc]backup-simplify: Simplify (* -1 (* 1/4 PI)) 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 into -1 * [misc]backup-simplify: Simplify (* -1 (* 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))))) 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 into -1 * [misc]backup-simplify: Simplify (* -1 (* 1/4 PI)) 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 1 * [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 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 4 PI) (/ 0 (* 1/4 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 4 PI) (/ 0 (* 1/4 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 4 PI) (/ 0 (* 1/4 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 4 PI) (/ 0 (* 1/4 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 4 PI) (/ 0 (* 1/4 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 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 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 0 into 0 * [misc]backup-simplify: Simplify 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 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 into 1 * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* 1/4 PI) into (* 1/4 PI) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 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 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 0 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 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 into -1 * [misc]backup-simplify: Simplify (* -1 (* 1/4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (* -1/4 PI) into (* -1/4 PI) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 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 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [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 into 0 * [misc]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 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 into 0 * [misc]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 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 into 0 * [misc]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 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 into 0 * [misc]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 0 into 0 * [misc]backup-simplify: Simplify 0 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 / 158 ] 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: [ 2 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 158 ] 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: [ 4 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (exp (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (exp (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 5 / 158 ] 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: [ 6 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (395 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: [ 7 / 158 ] 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: [ 8 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (/ PI 4)) (- (- f) (+ f f)))) * [exit]simplify: Simplified to (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (/ PI 4)) (- (- f) (+ f f)))) * [enter]simplify: Simplifying (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (+ (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (+ (pow (exp (+ f f)) (/ (- PI) 4)) (+ (exp (* (+ f f) (/ PI 4))) 1)) * [exit]simplify: Simplified to (+ (pow (exp (+ f f)) (/ (- PI) 4)) (+ (exp (* (+ f f) (/ PI 4))) 1)) * * * * [misc]progress: [ 9 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * * * * [misc]progress: [ 10 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (303 enodes) * [exit]simplify: Simplified to (- (exp (* (/ PI 4) (+ f f))) (pow (exp (/ PI 4)) (- (+ f f)))) * [exit]simplify: Simplified to (- (exp (* (/ PI 4) (+ f f))) (pow (exp (/ PI 4)) (- (+ f f)))) * [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: [ 12 / 158 ] 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: [ 13 / 158 ] 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: [ 14 / 158 ] 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 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 158 ] 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: [ 17 / 158 ] 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: [ 18 / 158 ] 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: [ 19 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (- 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: [ 20 / 158 ] 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: [ 21 / 158 ] 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 (196 enodes) * [exit]simplify: Simplified to (pow (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 3) * [exit]simplify: Simplified to (pow (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 3) * * * * [misc]progress: [ 22 / 158 ] 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: [ 23 / 158 ] 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: [ 24 / 158 ] 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: [ 25 / 158 ] 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: [ 26 / 158 ] 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: [ 27 / 158 ] 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: [ 28 / 158 ] 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: [ 29 / 158 ] 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: [ 30 / 158 ] 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: [ 31 / 158 ] 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: [ 32 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 33 / 158 ] 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: [ 34 / 158 ] 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: [ 35 / 158 ] 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: [ 36 / 158 ] 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: [ 37 / 158 ] 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: [ 38 / 158 ] 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: [ 39 / 158 ] 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: [ 40 / 158 ] 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: [ 41 / 158 ] 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: [ 42 / 158 ] 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: [ 43 / 158 ] 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: [ 44 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 158 ] 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: [ 46 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) * * * * [misc]progress: [ 47 / 158 ] 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: [ 48 / 158 ] 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: [ 49 / 158 ] 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: [ 50 / 158 ] 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: [ 51 / 158 ] 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: [ 52 / 158 ] 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: [ 53 / 158 ] 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: [ 54 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) * * * * [misc]progress: [ 55 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) * * * * [misc]progress: [ 56 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (207 enodes) * * [misc]simplify: iters left: 1 (324 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: [ 57 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: iters left: 1 (306 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: [ 58 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (- (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (+ (* (- (exp (* (/ PI 4) (+ f f))) 1) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (* (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (* (exp (* (- f) (/ PI 4))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (+ (* (- (exp (* (/ PI 4) (+ f f))) 1) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (* (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (* (exp (* (- f) (/ PI 4))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 59 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (254 enodes) * [exit]simplify: Simplified to (* (- (exp (* (/ 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 / 158 ] 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 (254 enodes) * * [misc]simplify: iters left: 1 (401 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: [ 61 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 158 ] 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: [ 63 / 158 ] 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: [ 64 / 158 ] 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 (345 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: [ 65 / 158 ] 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 (317 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: [ 66 / 158 ] 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: [ 67 / 158 ] 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 (257 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * [exit]simplify: Simplified to (* (cbrt (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) (/ 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)))))) (/ 4 PI))) (cbrt (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)))) * [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 (271 enodes) * * [misc]simplify: iters left: 1 (418 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: [ 68 / 158 ] 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: [ 69 / 158 ] 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 (271 enodes) * * [misc]simplify: iters left: 1 (418 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 (271 enodes) * * [misc]simplify: iters left: 1 (418 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: [ 70 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: iters left: 1 (393 enodes) * [exit]simplify: Simplified to (* (+ (/ 4 PI) (/ 4 PI)) (log (cbrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))))) * [exit]simplify: Simplified to (* (+ (/ 4 PI) (/ 4 PI)) (log (cbrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (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: [ 72 / 158 ] 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: [ 73 / 158 ] 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 (398 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 (257 enodes) * * [misc]simplify: iters left: 1 (404 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: [ 74 / 158 ] 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 (323 enodes) * [exit]simplify: Simplified to (- (* (log (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (/ PI (/ 4 f)))))) (+ (/ 4 PI) (/ 4 PI))) (* (log (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) (/ 4 PI))) * [exit]simplify: Simplified to (- (* (log (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (/ PI (/ 4 f)))))) (+ (/ 4 PI) (/ 4 PI))) (* (log (sqrt (- (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 (257 enodes) * * [misc]simplify: iters left: 1 (404 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: [ 75 / 158 ] 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 (154 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (* (+ (/ 4 PI) (/ 4 PI)) (log (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))))) * [exit]simplify: Simplified to (* (+ (/ 4 PI) (/ 4 PI)) (log (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))))) * [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 (256 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * * * * [misc]progress: [ 76 / 158 ] 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 (321 enodes) * [exit]simplify: Simplified to (- (* (log (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (/ PI (/ 4 f)))))) (+ (/ 4 PI) (/ 4 PI))) (* (/ 4 PI) (log (+ (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- PI) (/ 4 f)))))))) * [exit]simplify: Simplified to (- (* (log (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (/ PI (/ 4 f)))))) (+ (/ 4 PI) (/ 4 PI))) (* (/ 4 PI) (log (+ (sqrt (exp (/ PI (/ 4 f)))) (sqrt (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 (271 enodes) * * [misc]simplify: iters left: 1 (416 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * * * * [misc]progress: [ 77 / 158 ] 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 (154 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (* (+ (/ 4 PI) (/ 4 PI)) (log (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))))) * [exit]simplify: Simplified to (* (+ (/ 4 PI) (/ 4 PI)) (log (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))))) * [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 (256 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * * * * [misc]progress: [ 78 / 158 ] 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 (292 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 (257 enodes) * * [misc]simplify: iters left: 1 (404 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: [ 79 / 158 ] 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 (257 enodes) * * [misc]simplify: iters left: 1 (404 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 (257 enodes) * * [misc]simplify: iters left: 1 (404 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: [ 80 / 158 ] 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 (147 enodes) * * [misc]simplify: iters left: 2 (489 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 (256 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * * * * [misc]progress: [ 81 / 158 ] 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 (268 enodes) * * [misc]simplify: iters left: 1 (412 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 (271 enodes) * * [misc]simplify: iters left: 1 (416 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))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * * * * [misc]progress: [ 82 / 158 ] 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 (147 enodes) * * [misc]simplify: iters left: 2 (489 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 (256 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * * * * [misc]progress: [ 83 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (487 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 (256 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (cbrt (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (cbrt (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 84 / 158 ] 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 (382 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 (256 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (sqrt (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (sqrt (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 85 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (401 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: [ 86 / 158 ] 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 (357 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 (269 enodes) * * [misc]simplify: iters left: 1 (419 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * * * * [misc]progress: [ 87 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (401 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: [ 88 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (487 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 (256 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (cbrt (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (cbrt (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 89 / 158 ] 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 (382 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 (256 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (sqrt (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (sqrt (- (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 90 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (401 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: [ 91 / 158 ] 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 (357 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 (269 enodes) * * [misc]simplify: iters left: 1 (419 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * * * * [misc]progress: [ 92 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (401 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: [ 93 / 158 ] 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 (254 enodes) * * [misc]simplify: iters left: 1 (401 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: [ 94 / 158 ] 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 (383 enodes) * [exit]simplify: Simplified to (* (log (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (/ (- 4) PI)) * [exit]simplify: Simplified to (* (log (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (/ (- 4) PI)) * * * * [misc]progress: [ 95 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))) (+ (pow (exp (/ PI 4)) (+ (+ f f) f)) (/ (- 1) (pow (exp (/ PI 4)) (+ (+ f f) f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))) (+ (pow (exp (/ PI 4)) (+ (+ f f) f)) (/ (- 1) (pow (exp (/ PI 4)) (+ (+ f f) f)))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (+ (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * [exit]simplify: Simplified to (/ (log (+ (pow (exp (- f)) (+ (/ PI 4) (/ PI 4))) (+ 1 (exp (* (/ PI 4) (+ f f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (+ (pow (exp (- f)) (+ (/ PI 4) (/ PI 4))) (+ 1 (exp (* (/ PI 4) (+ f f)))))) (/ PI 4)) * * * * [misc]progress: [ 96 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * [exit]simplify: Simplified to (* (- (log (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (- (log (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) (/ 4 PI)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [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: [ 97 / 158 ] 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 (137 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: iters left: 1 (393 enodes) * [exit]simplify: Simplified to (* (+ (/ 4 PI) (/ 4 PI)) (log (cbrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ f 4) PI))) (- (exp (* (/ f 4) PI)) (exp (/ (- PI) (/ 4 f)))))))) * [exit]simplify: Simplified to (* (+ (/ 4 PI) (/ 4 PI)) (log (cbrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ f 4) PI))) (- (exp (* (/ f 4) PI)) (exp (/ (- PI) (/ 4 f)))))))) * [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: [ 98 / 158 ] 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: [ 99 / 158 ] 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 (392 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 (267 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (/ (* f PI) 4)))) (cbrt (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (/ (* f PI) 4)))) (cbrt (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * * * * [misc]progress: [ 100 / 158 ] 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 (319 enodes) * [exit]simplify: Simplified to (- (* (log (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))))) (+ (/ 4 PI) (/ 4 PI))) (* (log (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)))))) (+ (/ 4 PI) (/ 4 PI))) (* (log (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI))) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (/ (* f PI) 4)))) (sqrt (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (/ (* f PI) 4)))) (sqrt (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * * * * [misc]progress: [ 101 / 158 ] 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 (168 enodes) * * [misc]simplify: iters left: 2 (332 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 (276 enodes) * * [misc]simplify: iters left: 1 (449 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)) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)) * * * * [misc]progress: [ 102 / 158 ] 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 (318 enodes) * [exit]simplify: Simplified to (- (* (log (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ f 4) PI))))) (+ (/ 4 PI) (/ 4 PI))) (/ (log (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ f 4) PI))))) (/ PI 4))) * [exit]simplify: Simplified to (- (* (log (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ f 4) PI))))) (+ (/ 4 PI) (/ 4 PI))) (/ (log (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ f 4) PI))))) (/ 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 (272 enodes) * * [misc]simplify: iters left: 1 (440 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4))))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4))))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * * * * [misc]progress: [ 103 / 158 ] 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 (168 enodes) * * [misc]simplify: iters left: 2 (332 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 (276 enodes) * * [misc]simplify: iters left: 1 (449 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)) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)) * * * * [misc]progress: [ 104 / 158 ] 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 (299 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 (267 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (/ (* f PI) 4)))) (cbrt (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (/ (* f PI) 4)))) (cbrt (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * * * * [misc]progress: [ 105 / 158 ] 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 (267 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (/ (* f PI) 4)))) (sqrt (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (/ (* f PI) 4)))) (sqrt (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (/ (* f PI) 4)))) (sqrt (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (/ (* f PI) 4)))) (sqrt (- (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI))))))) (/ PI 4)) * * * * [misc]progress: [ 106 / 158 ] 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 (169 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 (276 enodes) * * [misc]simplify: iters left: 1 (449 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)) * * * * [misc]progress: [ 107 / 158 ] 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 (268 enodes) * * [misc]simplify: iters left: 1 (438 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 (272 enodes) * * [misc]simplify: iters left: 1 (440 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4))))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* f (/ PI 4))))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * * * * [misc]progress: [ 108 / 158 ] 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 (169 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 (276 enodes) * * [misc]simplify: iters left: 1 (449 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI)) * * * * [misc]progress: [ 109 / 158 ] 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) * * [misc]simplify: iters left: 2 (487 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 (276 enodes) * * [misc]simplify: iters left: 1 (449 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * * * * [misc]progress: [ 110 / 158 ] 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 (400 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (sqrt (- (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f))))))) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (sqrt (- (exp (* (/ f 4) PI)) (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 (276 enodes) * * [misc]simplify: iters left: 1 (449 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * * * * [misc]progress: [ 111 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * * [misc]simplify: iters left: 1 (447 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: [ 112 / 158 ] 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 (403 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 (274 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 113 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * * [misc]simplify: iters left: 1 (447 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: [ 114 / 158 ] 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) * * [misc]simplify: iters left: 2 (487 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 (276 enodes) * * [misc]simplify: iters left: 1 (449 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * * * * [misc]progress: [ 115 / 158 ] 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 (400 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (sqrt (- (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f))))))) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (sqrt (- (exp (* (/ f 4) PI)) (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 (276 enodes) * * [misc]simplify: iters left: 1 (449 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * * * * [misc]progress: [ 116 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * * [misc]simplify: iters left: 1 (447 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: [ 117 / 158 ] 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 (403 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 (274 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 118 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * * [misc]simplify: iters left: 1 (447 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: [ 119 / 158 ] 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 (274 enodes) * * [misc]simplify: iters left: 1 (447 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: [ 120 / 158 ] 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 (412 enodes) * [exit]simplify: Simplified to (* (log (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (- (/ 4 PI))) * * * * [misc]progress: [ 121 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (452 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))) (+ (/ (- 1) (pow (exp (/ PI 4)) (+ f (+ f f)))) (pow (exp (/ PI 4)) (+ f (+ f f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))) (+ (/ (- 1) (pow (exp (/ PI 4)) (+ f (+ f f)))) (pow (exp (/ PI 4)) (+ f (+ f f)))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (+ (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (433 enodes) * [exit]simplify: Simplified to (/ (log (+ (+ (exp (* (+ f f) (/ PI 4))) (pow (exp (+ f f)) (/ (- PI) 4))) 1)) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (+ (+ (exp (* (+ f f) (/ PI 4))) (pow (exp (+ f f)) (/ (- PI) 4))) 1)) (/ PI 4)) * * * * [misc]progress: [ 122 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (261 enodes) * [exit]simplify: Simplified to (/ (- (log (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (- (log (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (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: [ 123 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ 4 PI) * [exit]simplify: Simplified to (/ 4 PI) * * * * [misc]progress: [ 124 / 158 ] 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: [ 125 / 158 ] 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: [ 126 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ 4 PI) * [exit]simplify: Simplified to (/ 4 PI) * * * * [misc]progress: [ 127 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (/ PI 4))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (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: [ 128 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (/ PI 4))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (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: [ 129 / 158 ] 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 (254 enodes) * * [misc]simplify: iters left: 1 (401 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: [ 130 / 158 ] 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 (254 enodes) * * [misc]simplify: iters left: 1 (401 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: [ 131 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (* (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: [ 132 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 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: [ 133 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 134 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 135 / 158 ] 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: [ 136 / 158 ] 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: [ 137 / 158 ] 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: [ 138 / 158 ] 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: [ 139 / 158 ] 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: [ 140 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 141 / 158 ] 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: [ 142 / 158 ] 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: [ 143 / 158 ] 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: [ 144 / 158 ] 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: [ 145 / 158 ] 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: [ 146 / 158 ] simplifiying candidate # * * * * [misc]progress: [ 147 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/16 (* (pow f 2) (pow PI 2))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/2 (* f PI)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (+ (* (* PI 1/2) f) (+ (* (* (* f PI) (* f PI)) 1/16) (* (* (* 1/192 f) PI) (* (* f PI) (* f PI))))))) (- (/ 4 PI))) * * * * [misc]progress: [ 148 / 158 ] 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 (58 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (+ (pow (exp 1/4) (* f PI)) (exp (* (- f) (* 1/4 PI))))))) * * * * [misc]progress: [ 149 / 158 ] 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 (59 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (/ (- 4) PI)) * * * * [misc]progress: [ 150 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (+ (* 4 (/ 1 (* PI f))) (+ (* 17/48 (* f PI)) 3/2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * * [misc]simplify: iters left: 1 (427 enodes) * [exit]simplify: Simplified to (* (log (+ (+ 3/2 (* (* 17/48 PI) f)) (/ (/ 4 PI) f))) (- (/ 4 PI))) * * * * [misc]progress: [ 151 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (207 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (* (/ (log 1) PI) (- 4)) * * * * [misc]progress: [ 152 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (207 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (* (/ (log 1) PI) (- 4)) * * * * [misc]progress: [ 153 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (+ (* 7/96 (* (pow f 2) PI)) (* 3/2 f))) (* 4 (/ (log f) PI)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (471 enodes) * [exit]simplify: Simplified to (- (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * * * [misc]progress: [ 154 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (- 0) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 0) * * * * [misc]progress: [ 155 / 158 ] simplifiying candidate # * [enter]simplify: Simplifying (- 0) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 0) * * * * [misc]progress: [ 156 / 158 ] 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: [ 157 / 158 ] 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: [ 158 / 158 ] 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 * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log f) (log (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (log f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log f) (log (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (log f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (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 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (/ 4 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (/ 4 PI) 3))) (+ (* -3 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ 0 (pow (/ 4 PI) 4))) (+ (* 12 (/ 0 (pow (/ 4 PI) 3))) (+ (* -3 (/ 0 (pow (/ 4 PI) 2))) (+ (* -4 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI)))))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ 0 (pow (/ 4 PI) 5))) (+ (* -60 (/ 0 (pow (/ 4 PI) 4))) (+ (* 30 (/ 0 (pow (/ 4 PI) 3))) (+ (* 20 (/ 0 (pow (/ 4 PI) 3))) (+ (* -10 (/ 0 (pow (/ 4 PI) 2))) (+ (* -5 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI)))))))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ 0 (pow (/ 4 PI) 6))) (+ (* 360 (/ 0 (pow (/ 4 PI) 5))) (+ (* -270 (/ 0 (pow (/ 4 PI) 4))) (+ (* -120 (/ 0 (pow (/ 4 PI) 4))) (+ (* 30 (/ 0 (pow (/ 4 PI) 3))) (+ (* 120 (/ 0 (pow (/ 4 PI) 3))) (+ (* 30 (/ 0 (pow (/ 4 PI) 3))) (+ (* -10 (/ 0 (pow (/ 4 PI) 2))) (+ (* -15 (/ 0 (pow (/ 4 PI) 2))) (+ (* -6 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI)))))))))))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (/ (+ (log (/ 4 PI)) (log f)) PI)) into (* 4 (/ (+ (log (/ 4 PI)) (log f)) PI)) * [misc]approximate: Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 f)) (log (/ 4 PI)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 f)) (log (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log (/ 1 f)) (log (/ 4 PI))) in f * [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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 f)) (log (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log (/ 1 f)) (log (/ 4 PI))) in f * [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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (* -1 (log f)) into (* -1 (log f)) * [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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (/ 4 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (/ 4 PI) 3))) (+ (* -3 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ 0 (pow (/ 4 PI) 4))) (+ (* 12 (/ 0 (pow (/ 4 PI) 3))) (+ (* -3 (/ 0 (pow (/ 4 PI) 2))) (+ (* -4 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI)))))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ 0 (pow (/ 4 PI) 5))) (+ (* -60 (/ 0 (pow (/ 4 PI) 4))) (+ (* 30 (/ 0 (pow (/ 4 PI) 3))) (+ (* 20 (/ 0 (pow (/ 4 PI) 3))) (+ (* -10 (/ 0 (pow (/ 4 PI) 2))) (+ (* -5 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI)))))))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ 0 (pow (/ 4 PI) 6))) (+ (* 360 (/ 0 (pow (/ 4 PI) 5))) (+ (* -270 (/ 0 (pow (/ 4 PI) 4))) (+ (* -120 (/ 0 (pow (/ 4 PI) 4))) (+ (* 30 (/ 0 (pow (/ 4 PI) 3))) (+ (* 120 (/ 0 (pow (/ 4 PI) 3))) (+ (* 30 (/ 0 (pow (/ 4 PI) 3))) (+ (* -10 (/ 0 (pow (/ 4 PI) 2))) (+ (* -15 (/ 0 (pow (/ 4 PI) 2))) (+ (* -6 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI)))))))))))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (/ (- (log (/ 4 PI)) (log (/ 1 f))) PI)) into (* 4 (/ (- (log (/ 4 PI)) (log (/ 1 f))) PI)) * [misc]approximate: Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 (- f))) (log (/ 4 PI)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 (- f))) (log (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (- f))) (log (/ 4 PI))) in f * [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 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 (- f))) (log (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (- f))) (log (/ 4 PI))) in f * [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 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* -1 (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log f)) (log (/ 4 PI))) into (- (+ (log -1) (log (/ 4 PI))) (log f)) * [misc]backup-simplify: Simplify (* (/ 4 PI) (- (+ (log -1) (log (/ 4 PI))) (log f))) into (* 4 (/ (- (+ (log -1) (log (/ 4 PI))) (log f)) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (+ (log -1) (log (/ 4 PI))) (log f)) PI)) into (* 4 (/ (- (+ (log -1) (log (/ 4 PI))) (log f)) PI)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (/ 4 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 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 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 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 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (/ 4 PI) 3))) (+ (* -3 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) 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 into 0 * [misc]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 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ 0 (pow (/ 4 PI) 4))) (+ (* 12 (/ 0 (pow (/ 4 PI) 3))) (+ (* -3 (/ 0 (pow (/ 4 PI) 2))) (+ (* -4 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI)))))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 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 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ 0 (pow (/ 4 PI) 5))) (+ (* -60 (/ 0 (pow (/ 4 PI) 4))) (+ (* 30 (/ 0 (pow (/ 4 PI) 3))) (+ (* 20 (/ 0 (pow (/ 4 PI) 3))) (+ (* -10 (/ 0 (pow (/ 4 PI) 2))) (+ (* -5 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI)))))))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ 0 (pow (/ 4 PI) 6))) (+ (* 360 (/ 0 (pow (/ 4 PI) 5))) (+ (* -270 (/ 0 (pow (/ 4 PI) 4))) (+ (* -120 (/ 0 (pow (/ 4 PI) 4))) (+ (* 30 (/ 0 (pow (/ 4 PI) 3))) (+ (* 120 (/ 0 (pow (/ 4 PI) 3))) (+ (* 30 (/ 0 (pow (/ 4 PI) 3))) (+ (* -10 (/ 0 (pow (/ 4 PI) 2))) (+ (* -15 (/ 0 (pow (/ 4 PI) 2))) (+ (* -6 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI)))))))))))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (/ (- (+ (log -1) (log (/ 4 PI))) (log (/ 1 (- f)))) PI)) into (* 4 (/ (- (+ (log -1) (log (/ 4 PI))) (log (/ -1 f))) PI)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (- (log f) (log (/ 4 PI))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (log f) (log (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (log f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (- (log f) (log (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (log f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (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 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (/ 4 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 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI))) 2) 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (/ 4 PI) 3))) (+ (* -3 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI)))) 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 (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ 0 (pow (/ 4 PI) 4))) (+ (* 12 (/ 0 (pow (/ 4 PI) 3))) (+ (* -3 (/ 0 (pow (/ 4 PI) 2))) (+ (* -4 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI)))))) 24) 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ 0 (pow (/ 4 PI) 5))) (+ (* -60 (/ 0 (pow (/ 4 PI) 4))) (+ (* 30 (/ 0 (pow (/ 4 PI) 3))) (+ (* 20 (/ 0 (pow (/ 4 PI) 3))) (+ (* -10 (/ 0 (pow (/ 4 PI) 2))) (+ (* -5 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI)))))))) 120) 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ 0 (pow (/ 4 PI) 6))) (+ (* 360 (/ 0 (pow (/ 4 PI) 5))) (+ (* -270 (/ 0 (pow (/ 4 PI) 4))) (+ (* -120 (/ 0 (pow (/ 4 PI) 4))) (+ (* 30 (/ 0 (pow (/ 4 PI) 3))) (+ (* 120 (/ 0 (pow (/ 4 PI) 3))) (+ (* 30 (/ 0 (pow (/ 4 PI) 3))) (+ (* -10 (/ 0 (pow (/ 4 PI) 2))) (+ (* -15 (/ 0 (pow (/ 4 PI) 2))) (+ (* -6 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI)))))))))))) 720) 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 (+ (log (/ 4 PI)) (log f)) into (+ (log (/ 4 PI)) (log f)) * [misc]approximate: Taking taylor expansion of (- (log (/ 1 f)) (log (/ 4 PI))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (log (/ 1 f)) (log (/ 4 PI))) in f * [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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (- (log (/ 1 f)) (log (/ 4 PI))) in f * [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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (* -1 (log f)) into (* -1 (log f)) * [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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (/ 4 PI)) 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI))) 2) 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (/ 4 PI) 3))) (+ (* -3 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI)))) 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 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ 0 (pow (/ 4 PI) 4))) (+ (* 12 (/ 0 (pow (/ 4 PI) 3))) (+ (* -3 (/ 0 (pow (/ 4 PI) 2))) (+ (* -4 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI)))))) 24) 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ 0 (pow (/ 4 PI) 5))) (+ (* -60 (/ 0 (pow (/ 4 PI) 4))) (+ (* 30 (/ 0 (pow (/ 4 PI) 3))) (+ (* 20 (/ 0 (pow (/ 4 PI) 3))) (+ (* -10 (/ 0 (pow (/ 4 PI) 2))) (+ (* -5 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI)))))))) 120) 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ 0 (pow (/ 4 PI) 6))) (+ (* 360 (/ 0 (pow (/ 4 PI) 5))) (+ (* -270 (/ 0 (pow (/ 4 PI) 4))) (+ (* -120 (/ 0 (pow (/ 4 PI) 4))) (+ (* 30 (/ 0 (pow (/ 4 PI) 3))) (+ (* 120 (/ 0 (pow (/ 4 PI) 3))) (+ (* 30 (/ 0 (pow (/ 4 PI) 3))) (+ (* -10 (/ 0 (pow (/ 4 PI) 2))) (+ (* -15 (/ 0 (pow (/ 4 PI) 2))) (+ (* -6 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI)))))))))))) 720) 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 (- (log (/ 4 PI)) (log (/ 1 f))) into (- (log (/ 4 PI)) (log (/ 1 f))) * [misc]approximate: Taking taylor expansion of (- (log (/ 1 (- f))) (log (/ 4 PI))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (- f))) (log (/ 4 PI))) in f * [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 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (- f))) (log (/ 4 PI))) in f * [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 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* -1 (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log f)) (log (/ 4 PI))) into (- (+ (log -1) (log (/ 4 PI))) (log f)) * [misc]backup-simplify: Simplify (- (+ (log -1) (log (/ 4 PI))) (log f)) into (- (+ (log -1) (log (/ 4 PI))) (log f)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (/ 4 PI)) 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 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI))) 2) 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 into 0 * [misc]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 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow (/ 4 PI) 3))) (+ (* -3 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI)))) 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 into 0 * [misc]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 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ 0 (pow (/ 4 PI) 4))) (+ (* 12 (/ 0 (pow (/ 4 PI) 3))) (+ (* -3 (/ 0 (pow (/ 4 PI) 2))) (+ (* -4 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI)))))) 24) 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 into 0 * [misc]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 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ 0 (pow (/ 4 PI) 5))) (+ (* -60 (/ 0 (pow (/ 4 PI) 4))) (+ (* 30 (/ 0 (pow (/ 4 PI) 3))) (+ (* 20 (/ 0 (pow (/ 4 PI) 3))) (+ (* -10 (/ 0 (pow (/ 4 PI) 2))) (+ (* -5 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI)))))))) 120) 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 into 0 * [misc]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 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ 0 (pow (/ 4 PI) 6))) (+ (* 360 (/ 0 (pow (/ 4 PI) 5))) (+ (* -270 (/ 0 (pow (/ 4 PI) 4))) (+ (* -120 (/ 0 (pow (/ 4 PI) 4))) (+ (* 30 (/ 0 (pow (/ 4 PI) 3))) (+ (* 120 (/ 0 (pow (/ 4 PI) 3))) (+ (* 30 (/ 0 (pow (/ 4 PI) 3))) (+ (* -10 (/ 0 (pow (/ 4 PI) 2))) (+ (* -15 (/ 0 (pow (/ 4 PI) 2))) (+ (* -6 (/ 0 (pow (/ 4 PI) 2))) (/ 0 (/ 4 PI)))))))))))) 720) 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 (- (+ (log -1) (log (/ 4 PI))) (log (/ 1 (- f)))) into (- (+ (log -1) (log (/ 4 PI))) (log (/ -1 f))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (* f f) (* 7/96 PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (* f f) (* 7/96 PI)) in f * [misc]taylor: Taking taylor expansion of (* f f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 7/96 PI) in f * [misc]taylor: Taking taylor expansion of 7/96 in f * [misc]backup-simplify: Simplify 7/96 into 7/96 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (* f f) (* 7/96 PI)) in f * [misc]taylor: Taking taylor expansion of (* f f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 7/96 PI) in f * [misc]taylor: Taking taylor expansion of 7/96 in f * [misc]backup-simplify: Simplify 7/96 into 7/96 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 7/96 PI) into (* 7/96 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 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 (* 7/96 PI) into (* 7/96 PI) * [misc]backup-simplify: Simplify (* 7/96 PI) into (* 7/96 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 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 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 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 (* (* 7/96 PI) (pow f 2)) into (* 7/96 (* (pow f 2) PI)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 f) (/ 1 f)) (* 7/96 PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 f) (/ 1 f)) (* 7/96 PI)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 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 into 1 * [misc]taylor: Taking taylor expansion of (* 7/96 PI) in f * [misc]taylor: Taking taylor expansion of 7/96 in f * [misc]backup-simplify: Simplify 7/96 into 7/96 * [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 f)) (* 7/96 PI)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 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 into 1 * [misc]taylor: Taking taylor expansion of (* 7/96 PI) in f * [misc]taylor: Taking taylor expansion of 7/96 in f * [misc]backup-simplify: Simplify 7/96 into 7/96 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 7/96 PI) into (* 7/96 PI) * [misc]backup-simplify: Simplify (* 7/96 PI) into (* 7/96 PI) * [misc]backup-simplify: Simplify (* 7/96 PI) into (* 7/96 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 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 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 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 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 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 (* (* 7/96 PI) (pow (/ 1 (/ 1 f)) 2)) into (* 7/96 (* (pow f 2) PI)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- f)) (/ 1 (- f))) (* 7/96 PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- f)) (/ 1 (- f))) (* 7/96 PI)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 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 into -1 * [misc]taylor: Taking taylor expansion of (* 7/96 PI) in f * [misc]taylor: Taking taylor expansion of 7/96 in f * [misc]backup-simplify: Simplify 7/96 into 7/96 * [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 (- f))) (* 7/96 PI)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 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 into -1 * [misc]taylor: Taking taylor expansion of (* 7/96 PI) in f * [misc]taylor: Taking taylor expansion of 7/96 in f * [misc]backup-simplify: Simplify 7/96 into 7/96 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 7/96 PI) into (* 7/96 PI) * [misc]backup-simplify: Simplify (* 7/96 PI) into (* 7/96 PI) * [misc]backup-simplify: Simplify (* 7/96 PI) into (* 7/96 PI) * [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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [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 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [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 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 into 0 * [misc]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 0 into 0 * [misc]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 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 into 0 * [misc]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 0 into 0 * [misc]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 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 into 0 * [misc]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 0 into 0 * [misc]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 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 into 0 * [misc]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 0 into 0 * [misc]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 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 (* (* 7/96 PI) (pow (/ 1 (/ 1 (- f))) 2)) into (* 7/96 (* (pow f 2) PI)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ 4 PI))) (log (cbrt (/ 4 PI)))) * [exit]simplify: Simplified to (+ (log (cbrt (/ 4 PI))) (log (cbrt (/ 4 PI)))) * [enter]simplify: Simplifying (log (cbrt (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (log (cbrt (/ 4 PI))) * * * * [misc]progress: [ 2 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (log (sqrt (/ 4 PI))) * [enter]simplify: Simplifying (log (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (log (sqrt (/ 4 PI))) * * * * [misc]progress: [ 3 / 91 ] 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 (/ 4 PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (/ 4 PI)) * [exit]simplify: Simplified to (log (/ 4 PI)) * * * * [misc]progress: [ 4 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log 4) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 4) * [exit]simplify: Simplified to (log 4) * [enter]simplify: Simplifying (log (/ 1 PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- (log PI)) * [exit]simplify: Simplified to (- (log PI)) * * * * [misc]progress: [ 5 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log 4) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 4) * [exit]simplify: Simplified to (log 4) * [enter]simplify: Simplifying (log PI) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log PI) * [exit]simplify: Simplified to (log PI) * * * * [misc]progress: [ 6 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 4 PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (/ 4 PI)) * [exit]simplify: Simplified to (log (/ 4 PI)) * * * * [misc]progress: [ 7 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (log (log (/ 4 PI))) * [exit]simplify: Simplified to (log (log (/ 4 PI))) * * * * [misc]progress: [ 10 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ 4 PI) * [exit]simplify: Simplified to (/ 4 PI) * * * * [misc]progress: [ 11 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))) * [exit]simplify: Simplified to (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))) * [enter]simplify: Simplifying (cbrt (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (cbrt (log (/ 4 PI))) * [exit]simplify: Simplified to (cbrt (log (/ 4 PI))) * * * * [misc]progress: [ 12 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (/ 4 PI)) (log (/ 4 PI))) (log (/ 4 PI))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (pow (log (/ 4 PI)) 3) * [exit]simplify: Simplified to (pow (log (/ 4 PI)) 3) * * * * [misc]progress: [ 13 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (sqrt (log (/ 4 PI))) * [exit]simplify: Simplified to (sqrt (log (/ 4 PI))) * [enter]simplify: Simplifying (sqrt (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (sqrt (log (/ 4 PI))) * [exit]simplify: Simplified to (sqrt (log (/ 4 PI))) * * * * [misc]progress: [ 14 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (* (- (log f) (log (/ 4 PI))) (/ 4 PI)) * [exit]simplify: Simplified to (* (- (log f) (log (/ 4 PI))) (/ 4 PI)) * * * * [misc]progress: [ 16 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 4 PI)) (log (- (log f) (log (/ 4 PI))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (+ (log (/ 4 PI)) (log (- (log f) (log (/ 4 PI))))) * [exit]simplify: Simplified to (+ (log (/ 4 PI)) (log (- (log f) (log (/ 4 PI))))) * * * * [misc]progress: [ 18 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * [exit]simplify: Simplified to (- (log (+ (log (/ PI 4)) (log f))) (log (/ PI 4))) * [exit]simplify: Simplified to (- (log (+ (log (/ PI 4)) (log f))) (log (/ PI 4))) * * * * [misc]progress: [ 19 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (417 enodes) * [exit]simplify: Simplified to (pow (/ f (/ 4 PI)) (/ 4 PI)) * [exit]simplify: Simplified to (pow (/ f (/ 4 PI)) (/ 4 PI)) * * * * [misc]progress: [ 20 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 4 PI) (/ 4 PI)) (/ 4 PI)) (* (* (- (log f) (log (/ 4 PI))) (- (log f) (log (/ 4 PI)))) (- (log f) (log (/ 4 PI))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * [exit]simplify: Simplified to (* (* (- (log f) (log (/ 4 PI))) (pow (/ 4 PI) 3)) (* (- (log f) (log (/ 4 PI))) (- (log f) (log (/ 4 PI))))) * [exit]simplify: Simplified to (* (* (- (log f) (log (/ 4 PI))) (pow (/ 4 PI) 3)) (* (- (log f) (log (/ 4 PI))) (- (log f) (log (/ 4 PI))))) * * * * [misc]progress: [ 21 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) (cbrt (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (* (cbrt (* (- (log f) (log (/ 4 PI))) (/ 4 PI))) (cbrt (* (- (log f) (log (/ 4 PI))) (/ 4 PI)))) * [exit]simplify: Simplified to (* (cbrt (* (- (log f) (log (/ 4 PI))) (/ 4 PI))) (cbrt (* (- (log f) (log (/ 4 PI))) (/ 4 PI)))) * [enter]simplify: Simplifying (cbrt (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (cbrt (* (- (log f) (log (/ 4 PI))) (/ 4 PI))) * [exit]simplify: Simplified to (cbrt (* (- (log f) (log (/ 4 PI))) (/ 4 PI))) * * * * [misc]progress: [ 22 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * [exit]simplify: Simplified to (pow (* (- (log f) (log (/ 4 PI))) (/ 4 PI)) 3) * [exit]simplify: Simplified to (pow (* (- (log f) (log (/ 4 PI))) (/ 4 PI)) 3) * * * * [misc]progress: [ 23 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (sqrt (* (- (log f) (log (/ 4 PI))) (/ 4 PI))) * [exit]simplify: Simplified to (sqrt (* (- (log f) (log (/ 4 PI))) (/ 4 PI))) * [enter]simplify: Simplifying (sqrt (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (sqrt (* (- (log f) (log (/ 4 PI))) (/ 4 PI))) * [exit]simplify: Simplified to (sqrt (* (- (log f) (log (/ 4 PI))) (/ 4 PI))) * * * * [misc]progress: [ 24 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (- (pow (log f) 3) (pow (log (/ 4 PI)) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (314 enodes) * [exit]simplify: Simplified to (- (* (* 4 (log f)) (* (log f) (log f))) (* (* (log (/ 4 PI)) (log (/ 4 PI))) (* (log (/ 4 PI)) 4))) * [exit]simplify: Simplified to (- (* (* 4 (log f)) (* (log f) (log f))) (* (* (log (/ 4 PI)) (log (/ 4 PI))) (* (log (/ 4 PI)) 4))) * [enter]simplify: Simplifying (* PI (+ (* (log f) (log f)) (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (* (log f) (log (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (401 enodes) * [exit]simplify: Simplified to (+ (* (* PI (log f)) (+ (log (/ 4 PI)) (log f))) (* (* (log (/ 4 PI)) (log (/ 4 PI))) PI)) * [exit]simplify: Simplified to (+ (* (* PI (log f)) (+ (log (/ 4 PI)) (log f))) (* (* (log (/ 4 PI)) (log (/ 4 PI))) PI)) * * * * [misc]progress: [ 25 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (- (* (log f) (log f)) (* (log (/ 4 PI)) (log (/ 4 PI))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * [exit]simplify: Simplified to (* (- (log f) (log (/ 4 PI))) (* 4 (+ (log (/ 4 PI)) (log f)))) * [exit]simplify: Simplified to (* (- (log f) (log (/ 4 PI))) (* 4 (+ (log (/ 4 PI)) (log f)))) * [enter]simplify: Simplifying (* PI (+ (log f) (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (* PI (+ (log (/ 4 PI)) (log f))) * [exit]simplify: Simplified to (* PI (+ (log (/ 4 PI)) (log f))) * * * * [misc]progress: [ 26 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (log f)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (* (log f) (/ 4 PI)) * [exit]simplify: Simplified to (* (log f) (/ 4 PI)) * [enter]simplify: Simplifying (* (/ 4 PI) (- (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (* (log (/ 4 PI)) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ 4 PI)) (- (/ 4 PI))) * * * * [misc]progress: [ 28 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (- (log f) (log 4))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (/ 4 PI)) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (/ 4 PI)) * [enter]simplify: Simplifying (* (/ 4 PI) (log PI)) * * [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 (* (/ 4 PI) (log PI)) * [exit]simplify: Simplified to (* (/ 4 PI) (log PI)) * * * * [misc]progress: [ 29 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (log f)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (* (log f) (/ 4 PI)) * [exit]simplify: Simplified to (* (log f) (/ 4 PI)) * [enter]simplify: Simplifying (* (/ 4 PI) (- (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (* (log (/ 4 PI)) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ 4 PI)) (- (/ 4 PI))) * * * * [misc]progress: [ 30 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log f) (/ 4 PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (/ (log f) (/ PI 4)) * [exit]simplify: Simplified to (/ (log f) (/ PI 4)) * [enter]simplify: Simplifying (* (- (log (/ 4 PI))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ 4 PI))) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ 4 PI))) * * * * [misc]progress: [ 31 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (log f) (log 4)) (/ 4 PI)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * [enter]simplify: Simplifying (* (log PI) (/ 4 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log PI)) * [exit]simplify: Simplified to (* (/ 4 PI) (log PI)) * * * * [misc]progress: [ 32 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log f) (/ 4 PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (/ (log f) (/ PI 4)) * [exit]simplify: Simplified to (/ (log f) (/ PI 4)) * [enter]simplify: Simplifying (* (- (log (/ 4 PI))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ 4 PI))) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ 4 PI))) * * * * [misc]progress: [ 33 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (* (cbrt (- (log f) (log (/ 4 PI)))) (cbrt (- (log f) (log (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (cbrt (- (log f) (log (/ 4 PI)))) (* (cbrt (- (log f) (log (/ 4 PI)))) (/ 4 PI))) * [exit]simplify: Simplified to (* (cbrt (- (log f) (log (/ 4 PI)))) (* (cbrt (- (log f) (log (/ 4 PI)))) (/ 4 PI))) * * * * [misc]progress: [ 34 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (sqrt (- (log f) (log (/ 4 PI))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (sqrt (- (log f) (log (/ 4 PI)))) (/ 4 PI)) * [exit]simplify: Simplified to (* (sqrt (- (log f) (log (/ 4 PI)))) (/ 4 PI)) * * * * [misc]progress: [ 35 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (/ 4 PI) * [exit]simplify: Simplified to (/ 4 PI) * * * * [misc]progress: [ 36 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (+ (sqrt (log f)) (sqrt (log (/ 4 PI))))) * * [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 (51 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (+ (sqrt (log (/ 4 PI))) (sqrt (log f)))) * [exit]simplify: Simplified to (* (/ 4 PI) (+ (sqrt (log (/ 4 PI))) (sqrt (log f)))) * * * * [misc]progress: [ 37 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (/ 4 PI) * [exit]simplify: Simplified to (/ 4 PI) * * * * [misc]progress: [ 38 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (/ 4 PI) * [exit]simplify: Simplified to (/ 4 PI) * * * * [misc]progress: [ 39 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4 PI)) (- (log f) (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (* (- (log f) (log (/ 4 PI))) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (* (- (log f) (log (/ 4 PI))) (cbrt (/ 4 PI))) * * * * [misc]progress: [ 40 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (- (log f) (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (* (- (log f) (log (/ 4 PI))) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (* (- (log f) (log (/ 4 PI))) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 41 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (* (- (log f) (log (/ 4 PI))) (/ 4 PI)) * [exit]simplify: Simplified to (* (- (log f) (log (/ 4 PI))) (/ 4 PI)) * * * * [misc]progress: [ 42 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 PI) (- (log f) (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (/ (- (log f) (log (/ 4 PI))) PI) * [exit]simplify: Simplified to (/ (- (log f) (log (/ 4 PI))) PI) * * * * [misc]progress: [ 43 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (- (pow (log f) 3) (pow (log (/ 4 PI)) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * [exit]simplify: Simplified to (- (* (* (log f) (log f)) (* (log f) (/ 4 PI))) (* (* (log (/ 4 PI)) (log (/ 4 PI))) (* (log (/ 4 PI)) (/ 4 PI)))) * [exit]simplify: Simplified to (- (* (* (log f) (log f)) (* (log f) (/ 4 PI))) (* (* (log (/ 4 PI)) (log (/ 4 PI))) (* (log (/ 4 PI)) (/ 4 PI)))) * * * * [misc]progress: [ 44 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (- (* (log f) (log f)) (* (log (/ 4 PI)) (log (/ 4 PI))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * [exit]simplify: Simplified to (* (* (/ 4 PI) (+ (log (/ 4 PI)) (log f))) (- (log f) (log (/ 4 PI)))) * [exit]simplify: Simplified to (* (* (/ 4 PI) (+ (log (/ 4 PI)) (log f))) (- (log f) (log (/ 4 PI)))) * * * * [misc]progress: [ 45 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (- (log f) (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (* (- (log f) (log (/ 4 PI))) 4) * [exit]simplify: Simplified to (* (- (log f) (log (/ 4 PI))) 4) * * * * [misc]progress: [ 46 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (/ f (/ 4 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ (* f PI) 4) * [exit]simplify: Simplified to (/ (* f PI) 4) * * * * [misc]progress: [ 48 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (log f) (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (log (- (log f) (log (/ 4 PI)))) * [exit]simplify: Simplified to (log (- (log f) (log (/ 4 PI)))) * * * * [misc]progress: [ 50 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (log f) (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (* PI (/ f 4)) * [exit]simplify: Simplified to (* PI (/ f 4)) * * * * [misc]progress: [ 51 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (log f) (log (/ 4 PI)))) (cbrt (- (log f) (log (/ 4 PI))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (* (cbrt (- (log f) (log (/ 4 PI)))) (cbrt (- (log f) (log (/ 4 PI))))) * [exit]simplify: Simplified to (* (cbrt (- (log f) (log (/ 4 PI)))) (cbrt (- (log f) (log (/ 4 PI))))) * [enter]simplify: Simplifying (cbrt (- (log f) (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (cbrt (- (log f) (log (/ 4 PI)))) * [exit]simplify: Simplified to (cbrt (- (log f) (log (/ 4 PI)))) * * * * [misc]progress: [ 52 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (log f) (log (/ 4 PI))) (- (log f) (log (/ 4 PI)))) (- (log f) (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * [exit]simplify: Simplified to (pow (- (log f) (log (/ 4 PI))) 3) * [exit]simplify: Simplified to (pow (- (log f) (log (/ 4 PI))) 3) * * * * [misc]progress: [ 53 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (log f) (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (sqrt (- (log f) (log (/ 4 PI)))) * [exit]simplify: Simplified to (sqrt (- (log f) (log (/ 4 PI)))) * [enter]simplify: Simplifying (sqrt (- (log f) (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (sqrt (- (log f) (log (/ 4 PI)))) * [exit]simplify: Simplified to (sqrt (- (log f) (log (/ 4 PI)))) * * * * [misc]progress: [ 54 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log f) 3) (pow (log (/ 4 PI)) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * [exit]simplify: Simplified to (- (pow (log f) 3) (pow (log (/ 4 PI)) 3)) * [exit]simplify: Simplified to (- (pow (log f) 3) (pow (log (/ 4 PI)) 3)) * [enter]simplify: Simplifying (+ (* (log f) (log f)) (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (* (log f) (log (/ 4 PI))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * [exit]simplify: Simplified to (+ (* (log (/ 4 PI)) (+ (log f) (log (/ 4 PI)))) (* (log f) (log f))) * [exit]simplify: Simplified to (+ (* (log (/ 4 PI)) (+ (log f) (log (/ 4 PI)))) (* (log f) (log f))) * * * * [misc]progress: [ 55 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 4 PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (- (log PI) (log 4)) * [exit]simplify: Simplified to (- (log PI) (log 4)) * * * * [misc]progress: [ 56 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log f) (log f)) (* (log (/ 4 PI)) (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * [exit]simplify: Simplified to (* (- (log f) (log (/ 4 PI))) (+ (log (/ 4 PI)) (log f))) * [exit]simplify: Simplified to (* (- (log f) (log (/ 4 PI))) (+ (log (/ 4 PI)) (log f))) * [enter]simplify: Simplifying (+ (log f) (log (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (+ (log f) (log (/ 4 PI))) * [exit]simplify: Simplified to (+ (log f) (log (/ 4 PI))) * * * * [misc]progress: [ 58 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (log f)) (sqrt (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (log f)) (sqrt (log (/ 4 PI)))) * [exit]simplify: Simplified to (+ (sqrt (log f)) (sqrt (log (/ 4 PI)))) * [enter]simplify: Simplifying (- (sqrt (log f)) (sqrt (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (log f)) (sqrt (log (/ 4 PI)))) * [exit]simplify: Simplified to (- (sqrt (log f)) (sqrt (log (/ 4 PI)))) * * * * [misc]progress: [ 59 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log f) (log (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (- (log f) (log (/ 4 PI))) * [exit]simplify: Simplified to (- (log f) (log (/ 4 PI))) * * * * [misc]progress: [ 60 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log f) (log (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (- (log f) (log (/ 4 PI))) * [exit]simplify: Simplified to (- (log f) (log (/ 4 PI))) * * * * [misc]progress: [ 61 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log f) (log (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (- (- (log f) (log (cbrt (/ 4 PI)))) (log (cbrt (/ 4 PI)))) * [exit]simplify: Simplified to (- (- (log f) (log (cbrt (/ 4 PI)))) (log (cbrt (/ 4 PI)))) * * * * [misc]progress: [ 62 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log f) (log (sqrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (- (log f) (log (sqrt (/ 4 PI)))) * [exit]simplify: Simplified to (- (log f) (log (sqrt (/ 4 PI)))) * * * * [misc]progress: [ 63 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log f) (log 1)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (- (log f) (log 1)) * [exit]simplify: Simplified to (- (log f) (log 1)) * * * * [misc]progress: [ 64 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log f) (log 4)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (- (log f) (log 4)) * [exit]simplify: Simplified to (- (log f) (log 4)) * * * * [misc]progress: [ 65 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log f) (log 4)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (- (log f) (log 4)) * [exit]simplify: Simplified to (- (log f) (log 4)) * * * * [misc]progress: [ 66 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 4 PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (- (log PI) (log 4)) * [exit]simplify: Simplified to (- (log PI) (log 4)) * * * * [misc]progress: [ 67 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* f f) (* 7/96 PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (* PI f) (* f 7/96)) * [exit]simplify: Simplified to (* (* PI f) (* f 7/96)) * * * * [misc]progress: [ 68 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* f f)) (log (* 7/96 PI))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (+ (log (* PI 7/96)) (log (* f f))) * [exit]simplify: Simplified to (+ (log (* PI 7/96)) (log (* f f))) * * * * [misc]progress: [ 70 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* f f) (* 7/96 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (log (* (* f 7/96) (* PI f))) * [exit]simplify: Simplified to (log (* (* f 7/96) (* PI f))) * * * * [misc]progress: [ 71 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* f f) (* 7/96 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (exp (* (* PI f) (* f 7/96))) * [exit]simplify: Simplified to (exp (* (* PI f) (* f 7/96))) * * * * [misc]progress: [ 72 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* f f) (* f f)) (* f f)) (* (* (* 7/96 PI) (* 7/96 PI)) (* 7/96 PI))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (356 enodes) * [exit]simplify: Simplified to (* (pow (* PI 7/96) 3) (pow (* f f) 3)) * [exit]simplify: Simplified to (* (pow (* PI 7/96) 3) (pow (* f f) 3)) * * * * [misc]progress: [ 73 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* f f) (* 7/96 PI))) (cbrt (* (* f f) (* 7/96 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* f 7/96) (* PI f))) (cbrt (* (* f 7/96) (* PI f)))) * [exit]simplify: Simplified to (* (cbrt (* (* f 7/96) (* PI f))) (cbrt (* (* f 7/96) (* PI f)))) * [enter]simplify: Simplifying (cbrt (* (* f f) (* 7/96 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (cbrt (* (* f 7/96) (* PI f))) * [exit]simplify: Simplified to (cbrt (* (* f 7/96) (* PI f))) * * * * [misc]progress: [ 74 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* f f) (* 7/96 PI)) (* (* f f) (* 7/96 PI))) (* (* f f) (* 7/96 PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (305 enodes) * [exit]simplify: Simplified to (pow (* (* f 7/96) (* PI f)) 3) * [exit]simplify: Simplified to (pow (* (* f 7/96) (* PI f)) 3) * * * * [misc]progress: [ 75 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* f f) (* 7/96 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (sqrt (* (* f 7/96) (* PI f))) * [exit]simplify: Simplified to (sqrt (* (* f 7/96) (* PI f))) * [enter]simplify: Simplifying (sqrt (* (* f f) (* 7/96 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (sqrt (* (* f 7/96) (* PI f))) * [exit]simplify: Simplified to (sqrt (* (* f 7/96) (* PI f))) * * * * [misc]progress: [ 76 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* f f) 7/96) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (* 7/96 (* f f)) * [exit]simplify: Simplified to (* 7/96 (* f f)) * * * * [misc]progress: [ 78 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (* f (* 7/96 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* f PI) 7/96) * [exit]simplify: Simplified to (* (* f PI) 7/96) * * * * [misc]progress: [ 79 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (474 enodes) * [exit]simplify: Simplified to (- (* (- (log f) (log (/ 4 PI))) (/ 4 PI)) (+ (* (* f PI) (* 7/96 f)) (* 3/2 f))) * * * * [misc]progress: [ 81 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (474 enodes) * [exit]simplify: Simplified to (- (* (- (log f) (log (/ 4 PI))) (/ 4 PI)) (+ (* (* f PI) (* 7/96 f)) (* 3/2 f))) * * * * [misc]progress: [ 82 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (474 enodes) * [exit]simplify: Simplified to (- (* (- (log f) (log (/ 4 PI))) (/ 4 PI)) (+ (* (* f PI) (* 7/96 f)) (* 3/2 f))) * * * * [misc]progress: [ 83 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 4 (/ (+ (log (/ 4 PI)) (log f)) PI)) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (312 enodes) * [exit]simplify: Simplified to (- (* (+ (log (/ 4 PI)) (log f)) (/ 4 PI)) (+ (* (* f PI) (* f 7/96)) (* 3/2 f))) * * * * [misc]progress: [ 84 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 4 (/ (- (log (/ 4 PI)) (log (/ 1 f))) PI)) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * * [misc]simplify: iters left: 2 (481 enodes) * [exit]simplify: Simplified to (- (* (/ 4 PI) (+ (log (/ 4 PI)) (log f))) (* f (- 3/2 (* (* 7/96 PI) (- f))))) * * * * [misc]progress: [ 85 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 4 (/ (- (+ (log -1) (log (/ 4 PI))) (log (/ -1 f))) PI)) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (301 enodes) * [exit]simplify: Simplified to (- (* (/ 4 PI) (+ (log (/ 4 PI)) (+ 0 (log f)))) (+ (* (* 7/96 PI) (* f f)) (* 3/2 f))) * * * * [misc]progress: [ 86 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 4 PI) (+ (log (/ 4 PI)) (log f))) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (- (* (+ (log (/ 4 PI)) (log f)) (/ 4 PI)) (+ (* (* f PI) (* 7/96 f)) (* f 3/2))) * * * * [misc]progress: [ 87 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 4 PI) (- (log (/ 4 PI)) (log (/ 1 f)))) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (- (* (/ 4 PI) (+ (log (/ 4 PI)) (log f))) (+ (* (* 7/96 f) (* f PI)) (* 3/2 f))) * * * * [misc]progress: [ 88 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 4 PI) (- (+ (log -1) (log (/ 4 PI))) (log (/ -1 f)))) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (375 enodes) * [exit]simplify: Simplified to (- (* (/ 4 PI) (+ (log (/ 4 PI)) (+ 0 (log f)))) (+ (* (* f f) (* 7/96 PI)) (* f 3/2))) * * * * [misc]progress: [ 89 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) (+ (* 7/96 (* (pow f 2) PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (454 enodes) * [exit]simplify: Simplified to (- (* (- (log f) (log (/ 4 PI))) (/ 4 PI)) (+ (* (* 7/96 f) (* f PI)) (* 3/2 f))) * * * * [misc]progress: [ 90 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) (+ (* 7/96 (* (pow f 2) PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (454 enodes) * [exit]simplify: Simplified to (- (* (- (log f) (log (/ 4 PI))) (/ 4 PI)) (+ (* (* 7/96 f) (* f PI)) (* 3/2 f))) * * * * [misc]progress: [ 91 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) (+ (* 7/96 (* (pow f 2) PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (454 enodes) * [exit]simplify: Simplified to (- (* (- (log f) (log (/ 4 PI))) (/ 4 PI)) (+ (* (* 7/96 f) (* f PI)) (* 3/2 f))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (/ 4 PI) (- (log f) (log 4))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log f) (log 4))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log f) (log 4)) in f * [misc]taylor: Taking taylor expansion of (log f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log f) (log 4))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log f) (log 4)) in f * [misc]taylor: Taking taylor expansion of (log f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]backup-simplify: Simplify (+ (log f) (log 4)) into (+ (log 4) (log f)) * [misc]backup-simplify: Simplify (* (/ 4 PI) (+ (log 4) (log f))) into (* 4 (/ (+ (log 4) (log f)) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (+ (log 4) (log f)) PI)) into (* 4 (/ (+ (log 4) (log f)) 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 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 PI) (* (/ 4 PI) (/ 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) 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 (+ (/ 0 PI) (* (/ 4 PI) (/ 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) 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 (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (/ (+ (log 4) (log f)) PI)) into (* 4 (/ (+ (log 4) (log f)) PI)) * [misc]approximate: Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 f)) (log 4))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 f)) (log 4))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log (/ 1 f)) (log 4)) in f * [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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 f)) (log 4))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log (/ 1 f)) (log 4)) in f * [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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]backup-simplify: Simplify (* -1 (log f)) into (* -1 (log f)) * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]backup-simplify: Simplify (+ (* -1 (log f)) (log 4)) into (- (log 4) (log f)) * [misc]backup-simplify: Simplify (* (/ 4 PI) (- (log 4) (log f))) into (* 4 (/ (- (log 4) (log f)) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (log 4) (log f)) PI)) into (* 4 (/ (- (log 4) (log f)) 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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 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 (+ (/ 0 PI) (* (/ 4 PI) (/ 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 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 PI) (* (/ 4 PI) (/ 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 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 PI) (* (/ 4 PI) (/ 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 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 PI) (* (/ 4 PI) (/ 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 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (/ (- (log 4) (log (/ 1 f))) PI)) into (* 4 (/ (- (log 4) (log (/ 1 f))) PI)) * [misc]approximate: Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 (- f))) (log 4))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 (- f))) (log 4))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (- f))) (log 4)) in f * [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 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 (- f))) (log 4))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (- f))) (log 4)) in f * [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 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]backup-simplify: Simplify (+ (* -1 (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]backup-simplify: Simplify (+ (- (log -1) (log f)) (log 4)) into (- (+ (log -1) (log 4)) (log f)) * [misc]backup-simplify: Simplify (* (/ 4 PI) (- (+ (log -1) (log 4)) (log f))) into (* 4 (/ (- (+ (log -1) (log 4)) (log f)) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (+ (log -1) (log 4)) (log f)) PI)) into (* 4 (/ (- (+ (log -1) (log 4)) (log f)) PI)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [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 PI) (* (/ 4 PI) (/ 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 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [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 PI) (* (/ 4 PI) (/ 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 into 0 * [misc]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 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 PI) (* (/ 4 PI) (/ 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 into 0 * [misc]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 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 PI) (* (/ 4 PI) (/ 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 into 0 * [misc]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 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 PI) (* (/ 4 PI) (/ 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 into 0 * [misc]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 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (/ (- (+ (log -1) (log 4)) (log (/ 1 (- f)))) PI)) into (* 4 (/ (- (+ (log -1) (log 4)) (log (/ -1 f))) PI)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (* f f) (* 7/96 PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (* f f) (* 7/96 PI)) in f * [misc]taylor: Taking taylor expansion of (* f f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 7/96 PI) in f * [misc]taylor: Taking taylor expansion of 7/96 in f * [misc]backup-simplify: Simplify 7/96 into 7/96 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (* f f) (* 7/96 PI)) in f * [misc]taylor: Taking taylor expansion of (* f f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 7/96 PI) in f * [misc]taylor: Taking taylor expansion of 7/96 in f * [misc]backup-simplify: Simplify 7/96 into 7/96 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 7/96 PI) into (* 7/96 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 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 (* 7/96 PI) into (* 7/96 PI) * [misc]backup-simplify: Simplify (* 7/96 PI) into (* 7/96 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 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 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 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 (* (* 7/96 PI) (pow f 2)) into (* 7/96 (* (pow f 2) PI)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 f) (/ 1 f)) (* 7/96 PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 f) (/ 1 f)) (* 7/96 PI)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 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 into 1 * [misc]taylor: Taking taylor expansion of (* 7/96 PI) in f * [misc]taylor: Taking taylor expansion of 7/96 in f * [misc]backup-simplify: Simplify 7/96 into 7/96 * [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 f)) (* 7/96 PI)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 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 into 1 * [misc]taylor: Taking taylor expansion of (* 7/96 PI) in f * [misc]taylor: Taking taylor expansion of 7/96 in f * [misc]backup-simplify: Simplify 7/96 into 7/96 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 7/96 PI) into (* 7/96 PI) * [misc]backup-simplify: Simplify (* 7/96 PI) into (* 7/96 PI) * [misc]backup-simplify: Simplify (* 7/96 PI) into (* 7/96 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 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 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 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 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 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 (* (* 7/96 PI) (pow (/ 1 (/ 1 f)) 2)) into (* 7/96 (* (pow f 2) PI)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- f)) (/ 1 (- f))) (* 7/96 PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- f)) (/ 1 (- f))) (* 7/96 PI)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 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 into -1 * [misc]taylor: Taking taylor expansion of (* 7/96 PI) in f * [misc]taylor: Taking taylor expansion of 7/96 in f * [misc]backup-simplify: Simplify 7/96 into 7/96 * [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 (- f))) (* 7/96 PI)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 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 into -1 * [misc]taylor: Taking taylor expansion of (* 7/96 PI) in f * [misc]taylor: Taking taylor expansion of 7/96 in f * [misc]backup-simplify: Simplify 7/96 into 7/96 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 7/96 PI) into (* 7/96 PI) * [misc]backup-simplify: Simplify (* 7/96 PI) into (* 7/96 PI) * [misc]backup-simplify: Simplify (* 7/96 PI) into (* 7/96 PI) * [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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [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 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [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 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 into 0 * [misc]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 0 into 0 * [misc]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 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 into 0 * [misc]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 0 into 0 * [misc]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 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 into 0 * [misc]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 0 into 0 * [misc]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 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 into 0 * [misc]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 0 into 0 * [misc]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 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 (* (* 7/96 PI) (pow (/ 1 (/ 1 (- f))) 2)) into (* 7/96 (* (pow f 2) PI)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI))) in f * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log f) (log 4))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log f) (log 4)) in f * [misc]taylor: Taking taylor expansion of (log f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (log PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log 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]taylor: Taking taylor expansion of (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI))) in f * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log f) (log 4))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log f) (log 4)) in f * [misc]taylor: Taking taylor expansion of (log f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (log PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log 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 (log f) into (log f) * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]backup-simplify: Simplify (+ (log f) (log 4)) into (+ (log 4) (log f)) * [misc]backup-simplify: Simplify (* (/ 4 PI) (+ (log 4) (log f))) into (* 4 (/ (+ (log 4) (log f)) PI)) * [misc]backup-simplify: Simplify (* (/ 4 PI) (log PI)) into (* 4 (/ (log PI) PI)) * [misc]backup-simplify: Simplify (+ (* 4 (/ (+ (log 4) (log f)) PI)) (* 4 (/ (log PI) PI))) into (+ (* 4 (/ (log 4) PI)) (+ (* 4 (/ (log f) PI)) (* 4 (/ (log PI) PI)))) * [misc]backup-simplify: Simplify (+ (* 4 (/ (log 4) PI)) (+ (* 4 (/ (log f) PI)) (* 4 (/ (log PI) PI)))) into (+ (* 4 (/ (log 4) PI)) (+ (* 4 (/ (log f) PI)) (* 4 (/ (log PI) 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 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow PI 2))) (/ 0 PI)) 2) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow PI 3))) (+ (* -3 (/ 0 (pow PI 2))) (/ 0 PI))) 6) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ 0 (pow PI 4))) (+ (* 12 (/ 0 (pow PI 3))) (+ (* -3 (/ 0 (pow PI 2))) (+ (* -4 (/ 0 (pow PI 2))) (/ 0 PI))))) 24) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ 0 (pow PI 5))) (+ (* -60 (/ 0 (pow PI 4))) (+ (* 30 (/ 0 (pow PI 3))) (+ (* 20 (/ 0 (pow PI 3))) (+ (* -10 (/ 0 (pow PI 2))) (+ (* -5 (/ 0 (pow PI 2))) (/ 0 PI))))))) 120) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ 0 (pow PI 6))) (+ (* 360 (/ 0 (pow PI 5))) (+ (* -270 (/ 0 (pow PI 4))) (+ (* -120 (/ 0 (pow PI 4))) (+ (* 30 (/ 0 (pow PI 3))) (+ (* 120 (/ 0 (pow PI 3))) (+ (* 30 (/ 0 (pow PI 3))) (+ (* -10 (/ 0 (pow PI 2))) (+ (* -15 (/ 0 (pow PI 2))) (+ (* -6 (/ 0 (pow PI 2))) (/ 0 PI))))))))))) 720) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ (log 4) PI)) (+ (* 4 (/ (log f) PI)) (* 4 (/ (log PI) PI)))) into (+ (* 4 (/ (log 4) PI)) (+ (* 4 (/ (log f) PI)) (* 4 (/ (log PI) PI)))) * [misc]approximate: Taking taylor expansion of (+ (* (/ 4 PI) (- (log (/ 1 f)) (log 4))) (* (/ 4 PI) (log PI))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 4 PI) (- (log (/ 1 f)) (log 4))) (* (/ 4 PI) (log PI))) in f * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 f)) (log 4))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log (/ 1 f)) (log 4)) in f * [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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (log PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log 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]taylor: Taking taylor expansion of (+ (* (/ 4 PI) (- (log (/ 1 f)) (log 4))) (* (/ 4 PI) (log PI))) in f * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 f)) (log 4))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log (/ 1 f)) (log 4)) in f * [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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (log PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log 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 (* -1 (log f)) into (* -1 (log f)) * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]backup-simplify: Simplify (+ (* -1 (log f)) (log 4)) into (- (log 4) (log f)) * [misc]backup-simplify: Simplify (* (/ 4 PI) (- (log 4) (log f))) into (* 4 (/ (- (log 4) (log f)) PI)) * [misc]backup-simplify: Simplify (* (/ 4 PI) (log PI)) into (* 4 (/ (log PI) PI)) * [misc]backup-simplify: Simplify (+ (* 4 (/ (- (log 4) (log f)) PI)) (* 4 (/ (log PI) PI))) into (- (+ (* 4 (/ (log 4) PI)) (* 4 (/ (log PI) PI))) (* 4 (/ (log f) PI))) * [misc]backup-simplify: Simplify (- (+ (* 4 (/ (log 4) PI)) (* 4 (/ (log PI) PI))) (* 4 (/ (log f) PI))) into (- (+ (* 4 (/ (log 4) PI)) (* 4 (/ (log PI) PI))) (* 4 (/ (log f) 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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow PI 2))) (/ 0 PI)) 2) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow PI 3))) (+ (* -3 (/ 0 (pow PI 2))) (/ 0 PI))) 6) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ 0 (pow PI 4))) (+ (* 12 (/ 0 (pow PI 3))) (+ (* -3 (/ 0 (pow PI 2))) (+ (* -4 (/ 0 (pow PI 2))) (/ 0 PI))))) 24) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ 0 (pow PI 5))) (+ (* -60 (/ 0 (pow PI 4))) (+ (* 30 (/ 0 (pow PI 3))) (+ (* 20 (/ 0 (pow PI 3))) (+ (* -10 (/ 0 (pow PI 2))) (+ (* -5 (/ 0 (pow PI 2))) (/ 0 PI))))))) 120) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ 0 (pow PI 6))) (+ (* 360 (/ 0 (pow PI 5))) (+ (* -270 (/ 0 (pow PI 4))) (+ (* -120 (/ 0 (pow PI 4))) (+ (* 30 (/ 0 (pow PI 3))) (+ (* 120 (/ 0 (pow PI 3))) (+ (* 30 (/ 0 (pow PI 3))) (+ (* -10 (/ 0 (pow PI 2))) (+ (* -15 (/ 0 (pow PI 2))) (+ (* -6 (/ 0 (pow PI 2))) (/ 0 PI))))))))))) 720) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 4 (/ (log 4) PI)) (* 4 (/ (log PI) PI))) (* 4 (/ (log (/ 1 f)) PI))) into (- (+ (* 4 (/ (log 4) PI)) (* 4 (/ (log PI) PI))) (* 4 (/ (log (/ 1 f)) PI))) * [misc]approximate: Taking taylor expansion of (+ (* (/ 4 PI) (- (log (/ 1 (- f))) (log 4))) (* (/ 4 PI) (log PI))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 4 PI) (- (log (/ 1 (- f))) (log 4))) (* (/ 4 PI) (log PI))) in f * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 (- f))) (log 4))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (- f))) (log 4)) in f * [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 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (log PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log 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]taylor: Taking taylor expansion of (+ (* (/ 4 PI) (- (log (/ 1 (- f))) (log 4))) (* (/ 4 PI) (log PI))) in f * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (- (log (/ 1 (- f))) (log 4))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (- f))) (log 4)) in f * [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 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (log PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log 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 (+ (* -1 (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]backup-simplify: Simplify (+ (- (log -1) (log f)) (log 4)) into (- (+ (log -1) (log 4)) (log f)) * [misc]backup-simplify: Simplify (* (/ 4 PI) (- (+ (log -1) (log 4)) (log f))) into (* 4 (/ (- (+ (log -1) (log 4)) (log f)) PI)) * [misc]backup-simplify: Simplify (* (/ 4 PI) (log PI)) into (* 4 (/ (log PI) PI)) * [misc]backup-simplify: Simplify (+ (* 4 (/ (- (+ (log -1) (log 4)) (log f)) PI)) (* 4 (/ (log PI) PI))) into (- (+ (* 4 (/ (log 4) PI)) (+ (* 4 (/ (log -1) PI)) (* 4 (/ (log PI) PI)))) (* 4 (/ (log f) PI))) * [misc]backup-simplify: Simplify (- (+ (* 4 (/ (log 4) PI)) (+ (* 4 (/ (log -1) PI)) (* 4 (/ (log PI) PI)))) (* 4 (/ (log f) PI))) into (- (+ (* 4 (/ (log 4) PI)) (+ (* 4 (/ (log -1) PI)) (* 4 (/ (log PI) PI)))) (* 4 (/ (log f) PI))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ 0 (pow PI 2))) (/ 0 PI)) 2) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 into 0 * [misc]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 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ 0 (pow PI 3))) (+ (* -3 (/ 0 (pow PI 2))) (/ 0 PI))) 6) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 into 0 * [misc]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 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ 0 (pow PI 4))) (+ (* 12 (/ 0 (pow PI 3))) (+ (* -3 (/ 0 (pow PI 2))) (+ (* -4 (/ 0 (pow PI 2))) (/ 0 PI))))) 24) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 into 0 * [misc]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 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ 0 (pow PI 5))) (+ (* -60 (/ 0 (pow PI 4))) (+ (* 30 (/ 0 (pow PI 3))) (+ (* 20 (/ 0 (pow PI 3))) (+ (* -10 (/ 0 (pow PI 2))) (+ (* -5 (/ 0 (pow PI 2))) (/ 0 PI))))))) 120) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 into 0 * [misc]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 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ 0 (pow PI 6))) (+ (* 360 (/ 0 (pow PI 5))) (+ (* -270 (/ 0 (pow PI 4))) (+ (* -120 (/ 0 (pow PI 4))) (+ (* 30 (/ 0 (pow PI 3))) (+ (* 120 (/ 0 (pow PI 3))) (+ (* 30 (/ 0 (pow PI 3))) (+ (* -10 (/ 0 (pow PI 2))) (+ (* -15 (/ 0 (pow PI 2))) (+ (* -6 (/ 0 (pow PI 2))) (/ 0 PI))))))))))) 720) into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 4 (/ (log 4) PI)) (+ (* 4 (/ (log -1) PI)) (* 4 (/ (log PI) PI)))) (* 4 (/ (log (/ 1 (- f))) PI))) into (- (+ (* 4 (/ (log 4) PI)) (+ (* 4 (/ (log -1) PI)) (* 4 (/ (log PI) PI)))) (* 4 (/ (log (/ -1 f)) PI))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (log PI)) * * [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 (* (/ 4 PI) (log PI)) * [exit]simplify: Simplified to (* (/ 4 PI) (log PI)) * * * * [misc]progress: [ 2 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 4 PI)) (log (log PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (+ (log (/ 4 PI)) (log (log PI))) * [exit]simplify: Simplified to (+ (log (/ 4 PI)) (log (log PI))) * * * * [misc]progress: [ 4 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ 4 PI) (log PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (log (* (/ 4 PI) (log PI))) * [exit]simplify: Simplified to (log (* (/ 4 PI) (log PI))) * * * * [misc]progress: [ 5 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ 4 PI) (log PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (pow PI (/ 4 PI)) * [exit]simplify: Simplified to (pow PI (/ 4 PI)) * * * * [misc]progress: [ 6 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 4 PI) (/ 4 PI)) (/ 4 PI)) (* (* (log PI) (log PI)) (log PI))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * [exit]simplify: Simplified to (* (pow (/ 4 PI) 3) (pow (log PI) 3)) * [exit]simplify: Simplified to (* (pow (/ 4 PI) 3) (pow (log PI) 3)) * * * * [misc]progress: [ 7 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ 4 PI) (log PI))) (cbrt (* (/ 4 PI) (log PI)))) * * [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 (* (/ 4 PI) (log PI))) (cbrt (* (/ 4 PI) (log PI)))) * [exit]simplify: Simplified to (* (cbrt (* (/ 4 PI) (log PI))) (cbrt (* (/ 4 PI) (log PI)))) * [enter]simplify: Simplifying (cbrt (* (/ 4 PI) (log PI))) * * [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 (* (/ 4 PI) (log PI))) * [exit]simplify: Simplified to (cbrt (* (/ 4 PI) (log PI))) * * * * [misc]progress: [ 8 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 4 PI) (log PI)) (* (/ 4 PI) (log PI))) (* (/ 4 PI) (log PI))) * * [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 (* (/ 4 PI) (log PI)) 3) * [exit]simplify: Simplified to (pow (* (/ 4 PI) (log PI)) 3) * * * * [misc]progress: [ 9 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ 4 PI) (log PI))) * * [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 (* (/ 4 PI) (log PI))) * [exit]simplify: Simplified to (sqrt (* (/ 4 PI) (log PI))) * [enter]simplify: Simplifying (sqrt (* (/ 4 PI) (log PI))) * * [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 (* (/ 4 PI) (log PI))) * [exit]simplify: Simplified to (sqrt (* (/ 4 PI) (log PI))) * * * * [misc]progress: [ 10 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (* (cbrt (log PI)) (cbrt (log PI)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (log PI)) PI) (* (cbrt (log PI)) 4)) * [exit]simplify: Simplified to (* (/ (cbrt (log PI)) PI) (* (cbrt (log PI)) 4)) * * * * [misc]progress: [ 12 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (sqrt (log PI))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (* (sqrt (log PI)) (/ 4 PI)) * [exit]simplify: Simplified to (* (sqrt (log PI)) (/ 4 PI)) * * * * [misc]progress: [ 13 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (/ 4 PI) * [exit]simplify: Simplified to (/ 4 PI) * * * * [misc]progress: [ 14 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4 PI)) (log PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (log PI) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (* (log PI) (cbrt (/ 4 PI))) * * * * [misc]progress: [ 15 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (log PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (log PI) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (* (log PI) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 16 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (log PI)) * * [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 (* (/ 4 PI) (log PI)) * [exit]simplify: Simplified to (* (/ 4 PI) (log PI)) * * * * [misc]progress: [ 17 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 PI) (log PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (log PI) PI) * [exit]simplify: Simplified to (/ (log PI) PI) * * * * [misc]progress: [ 18 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (log PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* 4 (log PI)) * [exit]simplify: Simplified to (* 4 (log PI)) * * * * [misc]progress: [ 19 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (- (log f) (log 4))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (/ 4 PI)) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (/ 4 PI)) * * * * [misc]progress: [ 21 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 4 PI)) (log (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (- (log (- (log f) (log 4))) (- (log PI) (log 4))) * [exit]simplify: Simplified to (- (log (- (log f) (log 4))) (- (log PI) (log 4))) * * * * [misc]progress: [ 23 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ 4 PI) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (log (* (- (log f) (log 4)) (/ 4 PI))) * [exit]simplify: Simplified to (log (* (- (log f) (log 4)) (/ 4 PI))) * * * * [misc]progress: [ 24 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ 4 PI) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (pow (/ f 4) (/ 4 PI)) * [exit]simplify: Simplified to (pow (/ f 4) (/ 4 PI)) * * * * [misc]progress: [ 25 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 4 PI) (/ 4 PI)) (/ 4 PI)) (* (* (- (log f) (log 4)) (- (log f) (log 4))) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (485 enodes) * [exit]simplify: Simplified to (* (* (- (log f) (log 4)) (pow (/ 4 PI) 3)) (* (- (log f) (log 4)) (- (log f) (log 4)))) * [exit]simplify: Simplified to (* (* (- (log f) (log 4)) (pow (/ 4 PI) 3)) (* (- (log f) (log 4)) (- (log f) (log 4)))) * * * * [misc]progress: [ 26 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ 4 PI) (- (log f) (log 4)))) (cbrt (* (/ 4 PI) (- (log f) (log 4))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (cbrt (* (- (log f) (log 4)) (/ 4 PI))) (cbrt (* (- (log f) (log 4)) (/ 4 PI)))) * [exit]simplify: Simplified to (* (cbrt (* (- (log f) (log 4)) (/ 4 PI))) (cbrt (* (- (log f) (log 4)) (/ 4 PI)))) * [enter]simplify: Simplifying (cbrt (* (/ 4 PI) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (cbrt (* (- (log f) (log 4)) (/ 4 PI))) * [exit]simplify: Simplified to (cbrt (* (- (log f) (log 4)) (/ 4 PI))) * * * * [misc]progress: [ 27 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (- (log f) (log 4)))) (* (/ 4 PI) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (442 enodes) * [exit]simplify: Simplified to (pow (* (- (log f) (log 4)) (/ 4 PI)) 3) * [exit]simplify: Simplified to (pow (* (- (log f) (log 4)) (/ 4 PI)) 3) * * * * [misc]progress: [ 28 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ 4 PI) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (sqrt (* (- (log f) (log 4)) (/ 4 PI))) * [exit]simplify: Simplified to (sqrt (* (- (log f) (log 4)) (/ 4 PI))) * [enter]simplify: Simplifying (sqrt (* (/ 4 PI) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (sqrt (* (- (log f) (log 4)) (/ 4 PI))) * [exit]simplify: Simplified to (sqrt (* (- (log f) (log 4)) (/ 4 PI))) * * * * [misc]progress: [ 29 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (- (pow (log f) 3) (pow (log 4) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (- (* (* 4 (log f)) (* (log f) (log f))) (* (* (log 4) (log 4)) (* (log 4) 4))) * [exit]simplify: Simplified to (- (* (* 4 (log f)) (* (log f) (log f))) (* (* (log 4) (log 4)) (* (log 4) 4))) * [enter]simplify: Simplifying (* PI (+ (* (log f) (log f)) (+ (* (log 4) (log 4)) (* (log f) (log 4))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (+ (* (* (log 4) PI) (+ (log f) (log 4))) (* (log f) (* PI (log f)))) * [exit]simplify: Simplified to (+ (* (* (log 4) PI) (+ (log f) (log 4))) (* (log f) (* PI (log f)))) * * * * [misc]progress: [ 30 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (- (* (log f) (log f)) (* (log 4) (log 4)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (485 enodes) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (* 4 (+ (log 4) (log f)))) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (* 4 (+ (log 4) (log f)))) * [enter]simplify: Simplifying (* PI (+ (log f) (log 4))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (+ (log 4) (log f)) PI) * [exit]simplify: Simplified to (* (+ (log 4) (log f)) PI) * * * * [misc]progress: [ 31 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (log f)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (* (log f) (/ 4 PI)) * [exit]simplify: Simplified to (* (log f) (/ 4 PI)) * [enter]simplify: Simplifying (* (/ 4 PI) (- (log 4))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (log 4) (/ PI 4))) * [exit]simplify: Simplified to (- (/ (log 4) (/ PI 4))) * * * * [misc]progress: [ 33 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (log f)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (* (log f) (/ 4 PI)) * [exit]simplify: Simplified to (* (log f) (/ 4 PI)) * [enter]simplify: Simplifying (* (/ 4 PI) (- (log 4))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (log 4) (/ PI 4))) * [exit]simplify: Simplified to (- (/ (log 4) (/ PI 4))) * * * * [misc]progress: [ 34 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log f) (/ 4 PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (/ (log f) (/ PI 4)) * [exit]simplify: Simplified to (/ (log f) (/ PI 4)) * [enter]simplify: Simplifying (* (- (log 4)) (/ 4 PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (- (log 4)) (/ PI 4)) * [exit]simplify: Simplified to (/ (- (log 4)) (/ PI 4)) * * * * [misc]progress: [ 35 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log f) (/ 4 PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (/ (log f) (/ PI 4)) * [exit]simplify: Simplified to (/ (log f) (/ PI 4)) * [enter]simplify: Simplifying (* (- (log 4)) (/ 4 PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (- (log 4)) (/ PI 4)) * [exit]simplify: Simplified to (/ (- (log 4)) (/ PI 4)) * * * * [misc]progress: [ 36 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (* (cbrt (- (log f) (log 4))) (cbrt (- (log f) (log 4))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (log f) (log 4))) (/ (/ PI 4) (cbrt (- (log f) (log 4))))) * [exit]simplify: Simplified to (/ (cbrt (- (log f) (log 4))) (/ (/ PI 4) (cbrt (- (log f) (log 4))))) * * * * [misc]progress: [ 37 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (sqrt (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* (sqrt (- (log f) (log 4))) (/ 4 PI)) * [exit]simplify: Simplified to (* (sqrt (- (log f) (log 4))) (/ 4 PI)) * * * * [misc]progress: [ 38 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (/ 4 PI) * [exit]simplify: Simplified to (/ 4 PI) * * * * [misc]progress: [ 39 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (+ (sqrt (log f)) (sqrt (log 4)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (+ (sqrt (log 4)) (sqrt (log f)))) * [exit]simplify: Simplified to (* (/ 4 PI) (+ (sqrt (log 4)) (sqrt (log f)))) * * * * [misc]progress: [ 40 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (/ 4 PI) * [exit]simplify: Simplified to (/ 4 PI) * * * * [misc]progress: [ 41 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4 PI)) (- (log f) (log 4))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (cbrt (/ 4 PI))) * * * * [misc]progress: [ 42 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (- (log f) (log 4))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 43 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (- (log f) (log 4))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (/ 4 PI)) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (/ 4 PI)) * * * * [misc]progress: [ 44 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 PI) (- (log f) (log 4))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (/ (- (log f) (log 4)) PI) * [exit]simplify: Simplified to (/ (- (log f) (log 4)) PI) * * * * [misc]progress: [ 45 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (- (pow (log f) 3) (pow (log 4) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (315 enodes) * [exit]simplify: Simplified to (- (* (* (log f) (/ 4 PI)) (* (log f) (log f))) (* (* (log 4) (/ 4 PI)) (* (log 4) (log 4)))) * [exit]simplify: Simplified to (- (* (* (log f) (/ 4 PI)) (* (log f) (log f))) (* (* (log 4) (/ 4 PI)) (* (log 4) (log 4)))) * * * * [misc]progress: [ 46 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (- (* (log f) (log f)) (* (log 4) (log 4)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (416 enodes) * [exit]simplify: Simplified to (/ (- (log f) (log 4)) (/ (/ PI 4) (+ (log 4) (log f)))) * [exit]simplify: Simplified to (/ (- (log f) (log 4)) (/ (/ PI 4) (+ (log 4) (log f)))) * * * * [misc]progress: [ 47 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (- (log f) (log 4))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (* (- (log f) (log 4)) 4) * [exit]simplify: Simplified to (* (- (log f) (log 4)) 4) * * * * [misc]progress: [ 48 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* f f) (* 7/96 PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (* PI f) (* f 7/96)) * [exit]simplify: Simplified to (* (* PI f) (* f 7/96)) * * * * [misc]progress: [ 50 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* f f)) (log (* 7/96 PI))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (+ (log (* PI 7/96)) (log (* f f))) * [exit]simplify: Simplified to (+ (log (* PI 7/96)) (log (* f f))) * * * * [misc]progress: [ 52 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* f f) (* 7/96 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (log (* (* f 7/96) (* PI f))) * [exit]simplify: Simplified to (log (* (* f 7/96) (* PI f))) * * * * [misc]progress: [ 53 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* f f) (* 7/96 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (exp (* (* PI f) (* f 7/96))) * [exit]simplify: Simplified to (exp (* (* PI f) (* f 7/96))) * * * * [misc]progress: [ 54 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* f f) (* f f)) (* f f)) (* (* (* 7/96 PI) (* 7/96 PI)) (* 7/96 PI))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (356 enodes) * [exit]simplify: Simplified to (* (pow (* PI 7/96) 3) (pow (* f f) 3)) * [exit]simplify: Simplified to (* (pow (* PI 7/96) 3) (pow (* f f) 3)) * * * * [misc]progress: [ 55 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* f f) (* 7/96 PI))) (cbrt (* (* f f) (* 7/96 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* f 7/96) (* PI f))) (cbrt (* (* f 7/96) (* PI f)))) * [exit]simplify: Simplified to (* (cbrt (* (* f 7/96) (* PI f))) (cbrt (* (* f 7/96) (* PI f)))) * [enter]simplify: Simplifying (cbrt (* (* f f) (* 7/96 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (cbrt (* (* f 7/96) (* PI f))) * [exit]simplify: Simplified to (cbrt (* (* f 7/96) (* PI f))) * * * * [misc]progress: [ 56 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* f f) (* 7/96 PI)) (* (* f f) (* 7/96 PI))) (* (* f f) (* 7/96 PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (305 enodes) * [exit]simplify: Simplified to (pow (* (* f 7/96) (* PI f)) 3) * [exit]simplify: Simplified to (pow (* (* f 7/96) (* PI f)) 3) * * * * [misc]progress: [ 57 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* f f) (* 7/96 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (sqrt (* (* f 7/96) (* PI f))) * [exit]simplify: Simplified to (sqrt (* (* f 7/96) (* PI f))) * [enter]simplify: Simplifying (sqrt (* (* f f) (* 7/96 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (sqrt (* (* f 7/96) (* PI f))) * [exit]simplify: Simplified to (sqrt (* (* f 7/96) (* PI f))) * * * * [misc]progress: [ 58 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* f f) 7/96) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (* 7/96 (* f f)) * [exit]simplify: Simplified to (* 7/96 (* f f)) * * * * [misc]progress: [ 60 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* f (* 7/96 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* f PI) 7/96) * [exit]simplify: Simplified to (* (* f PI) 7/96) * * * * [misc]progress: [ 61 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* (/ 4 PI) (- (log f) (log 4)))) (exp (* (/ 4 PI) (log PI)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (pow (* PI (/ f 4)) (/ 4 PI)) * [exit]simplify: Simplified to (pow (* PI (/ f 4)) (/ 4 PI)) * * * * [misc]progress: [ 63 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (247 enodes) * [exit]simplify: Simplified to (+ (log (- (log f) (log (/ 4 PI)))) (log (/ 4 PI))) * [exit]simplify: Simplified to (+ (log (- (log f) (log (/ 4 PI)))) (log (/ 4 PI))) * * * * [misc]progress: [ 65 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * [exit]simplify: Simplified to (pow (/ (* f PI) 4) (/ 4 PI)) * [exit]simplify: Simplified to (pow (/ (* f PI) 4) (/ 4 PI)) * * * * [misc]progress: [ 66 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI)))) (cbrt (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (382 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ 4 PI) (+ (- (log f) (log 4)) (log PI)))) (cbrt (* (/ 4 PI) (+ (- (log f) (log 4)) (log PI))))) * [exit]simplify: Simplified to (* (cbrt (* (/ 4 PI) (+ (- (log f) (log 4)) (log PI)))) (cbrt (* (/ 4 PI) (+ (- (log f) (log 4)) (log PI))))) * [enter]simplify: Simplifying (cbrt (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (383 enodes) * [exit]simplify: Simplified to (cbrt (* (- (log PI) (- (log 4) (log f))) (/ 4 PI))) * [exit]simplify: Simplified to (cbrt (* (- (log PI) (- (log 4) (log f))) (/ 4 PI))) * * * * [misc]progress: [ 67 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI))) (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI)))) (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (pow (* (- (+ (log PI) (log f)) (log 4)) (/ 4 PI)) 3) * [exit]simplify: Simplified to (pow (* (- (+ (log PI) (log f)) (log 4)) (/ 4 PI)) 3) * * * * [misc]progress: [ 68 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (383 enodes) * [exit]simplify: Simplified to (sqrt (* (- (log PI) (- (log 4) (log f))) (/ 4 PI))) * [exit]simplify: Simplified to (sqrt (* (- (log PI) (- (log 4) (log f))) (/ 4 PI))) * [enter]simplify: Simplifying (sqrt (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (383 enodes) * [exit]simplify: Simplified to (sqrt (* (- (log PI) (- (log 4) (log f))) (/ 4 PI))) * [exit]simplify: Simplified to (sqrt (* (- (log PI) (- (log 4) (log f))) (/ 4 PI))) * * * * [misc]progress: [ 69 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* 4 (- (pow (log f) 3) (pow (log 4) 3))) PI) (* (* PI (+ (* (log f) (log f)) (+ (* (log 4) (log 4)) (* (log f) (log 4))))) (* 4 (log PI)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (448 enodes) * [exit]simplify: Simplified to (+ (+ (* (- (log 4)) (* (* (log 4) (log 4)) (* PI 4))) (+ (* (* (log f) (log f)) (* (log f) (* PI 4))) (* (* (log f) (log f)) (* (* PI 4) (log PI))))) (* (* (* (* PI 4) (log PI)) (+ (log f) (log 4))) (log 4))) * [exit]simplify: Simplified to (+ (+ (* (- (log 4)) (* (* (log 4) (log 4)) (* PI 4))) (+ (* (* (log f) (log f)) (* (log f) (* PI 4))) (* (* (log f) (log f)) (* (* PI 4) (log PI))))) (* (* (* (* PI 4) (log PI)) (+ (log f) (log 4))) (log 4))) * [enter]simplify: Simplifying (* (* PI (+ (* (log f) (log f)) (+ (* (log 4) (log 4)) (* (log f) (log 4))))) PI) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (316 enodes) * * [misc]simplify: iters left: 1 (398 enodes) * [exit]simplify: Simplified to (+ (* (* PI (log f)) (* PI (log f))) (* (+ (log f) (log 4)) (* (* PI PI) (log 4)))) * [exit]simplify: Simplified to (+ (* (* PI (log f)) (* PI (log f))) (* (+ (log f) (log 4)) (* (* PI PI) (log 4)))) * * * * [misc]progress: [ 70 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* 4 (- (* (log f) (log f)) (* (log 4) (log 4)))) PI) (* (* PI (+ (log f) (log 4))) (* 4 (log PI)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (301 enodes) * [exit]simplify: Simplified to (* (* (+ (log 4) (log f)) (* 4 PI)) (+ (- (log f) (log 4)) (log PI))) * [exit]simplify: Simplified to (* (* (+ (log 4) (log f)) (* 4 PI)) (+ (- (log f) (log 4)) (log PI))) * [enter]simplify: Simplifying (* (* PI (+ (log f) (log 4))) PI) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (* (+ (log 4) (log f)) (* PI PI)) * [exit]simplify: Simplified to (* (+ (log 4) (log f)) (* PI PI)) * * * * [misc]progress: [ 71 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (/ 4 PI) (- (pow (log f) 3) (pow (log 4) 3))) PI) (* (+ (* (log f) (log f)) (+ (* (log 4) (log 4)) (* (log f) (log 4)))) (* 4 (log PI)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * [exit]simplify: Simplified to (+ (* (* 4 (log PI)) (+ (* (log 4) (log 4)) (* (log f) (log f)))) (+ (+ (* (* 4 (log PI)) (* (log f) (log 4))) (* (/ 4 1) (pow (log f) 3))) (* (* (* (log 4) (log 4)) (- (log 4))) (/ 4 1)))) * [exit]simplify: Simplified to (+ (* (* 4 (log PI)) (+ (* (log 4) (log 4)) (* (log f) (log f)))) (+ (+ (* (* 4 (log PI)) (* (log f) (log 4))) (* (/ 4 1) (pow (log f) 3))) (* (* (* (log 4) (log 4)) (- (log 4))) (/ 4 1)))) * [enter]simplify: Simplifying (* (+ (* (log f) (log f)) (+ (* (log 4) (log 4)) (* (log f) (log 4)))) PI) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (+ (* (* PI (log f)) (log f)) (* (* PI (log 4)) (+ (log 4) (log f)))) * [exit]simplify: Simplified to (+ (* (* PI (log f)) (log f)) (* (* PI (log 4)) (+ (log 4) (log f)))) * * * * [misc]progress: [ 72 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (/ 4 PI) (- (* (log f) (log f)) (* (log 4) (log 4)))) PI) (* (+ (log f) (log 4)) (* 4 (log PI)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (289 enodes) * [exit]simplify: Simplified to (* (+ (log 4) (log f)) (+ (* 4 (log PI)) (* (- (log f) (log 4)) (/ 4 1)))) * [exit]simplify: Simplified to (* (+ (log 4) (log f)) (+ (* 4 (log PI)) (* (- (log f) (log 4)) (/ 4 1)))) * [enter]simplify: Simplifying (* (+ (log f) (log 4)) PI) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* PI (+ (log 4) (log f))) * [exit]simplify: Simplified to (* PI (+ (log 4) (log f))) * * * * [misc]progress: [ 73 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* 4 (- (log f) (log 4))) PI) (* PI (* 4 (log PI)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (* (- (+ (log f) (log PI)) (log 4)) (* PI 4)) * [exit]simplify: Simplified to (* (- (+ (log f) (log PI)) (log 4)) (* PI 4)) * [enter]simplify: Simplifying (* PI PI) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* PI PI) * [exit]simplify: Simplified to (* PI PI) * * * * [misc]progress: [ 74 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (* (/ 4 PI) (- (log f) (log 4))) 3) (pow (* (/ 4 PI) (log PI)) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * [exit]simplify: Simplified to (+ (pow (* (/ 4 PI) (log PI)) 3) (pow (* (- (log f) (log 4)) (/ 4 PI)) 3)) * [exit]simplify: Simplified to (+ (pow (* (/ 4 PI) (log PI)) 3) (pow (* (- (log f) (log 4)) (/ 4 PI)) 3)) * [enter]simplify: Simplifying (+ (* (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (- (log f) (log 4)))) (- (* (* (/ 4 PI) (log PI)) (* (/ 4 PI) (log PI))) (* (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (+ (* (* (/ 4 PI) (* (log PI) (/ 4 PI))) (- (log PI) (- (log f) (log 4)))) (* (* (- (log f) (log 4)) (/ 4 PI)) (* (- (log f) (log 4)) (/ 4 PI)))) * [exit]simplify: Simplified to (+ (* (* (/ 4 PI) (* (log PI) (/ 4 PI))) (- (log PI) (- (log f) (log 4)))) (* (* (- (log f) (log 4)) (/ 4 PI)) (* (- (log f) (log 4)) (/ 4 PI)))) * * * * [misc]progress: [ 75 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (- (log f) (log 4)))) (* (* (/ 4 PI) (log PI)) (* (/ 4 PI) (log PI)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (483 enodes) * [exit]simplify: Simplified to (* (* (+ (- (log f) (log 4)) (log PI)) (* (/ 4 PI) (/ 4 PI))) (- (- (log f) (log 4)) (log PI))) * [exit]simplify: Simplified to (* (* (+ (- (log f) (log 4)) (log PI)) (* (/ 4 PI) (/ 4 PI))) (- (- (log f) (log 4)) (log PI))) * [enter]simplify: Simplifying (- (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (336 enodes) * [exit]simplify: Simplified to (* (- (- (log f) (log 4)) (log PI)) (/ 4 PI)) * [exit]simplify: Simplified to (* (- (- (log f) (log 4)) (log PI)) (/ 4 PI)) * * * * [misc]progress: [ 77 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log f) (log 4)) (log PI)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (+ (- (log PI) (log 4)) (log f)) * [exit]simplify: Simplified to (+ (- (log PI) (log 4)) (log f)) * * * * [misc]progress: [ 78 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ 4 PI) (- (log 4))) (* (/ 4 PI) (log PI))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (- (log PI) (log 4)) (/ 4 PI)) * [exit]simplify: Simplified to (* (- (log PI) (log 4)) (/ 4 PI)) * * * * [misc]progress: [ 79 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ 4 PI) (- (log 4))) (* (/ 4 PI) (log PI))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (- (log PI) (log 4)) (/ 4 PI)) * [exit]simplify: Simplified to (* (- (log PI) (log 4)) (/ 4 PI)) * * * * [misc]progress: [ 80 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (log 4)) (/ 4 PI)) (* (/ 4 PI) (log PI))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log PI) (log 4))) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log PI) (log 4))) * * * * [misc]progress: [ 81 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (log 4)) (/ 4 PI)) (* (/ 4 PI) (log PI))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log PI) (log 4))) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log PI) (log 4))) * * * * [misc]progress: [ 82 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI))) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (277 enodes) * [exit]simplify: Simplified to (- (* (- (log f) (- (log 4) (log PI))) (/ 4 PI)) (+ (* (* 7/96 f) (* f PI)) (* f 3/2))) * * * * [misc]progress: [ 84 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI))) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (277 enodes) * [exit]simplify: Simplified to (- (* (- (log f) (- (log 4) (log PI))) (/ 4 PI)) (+ (* (* 7/96 f) (* f PI)) (* f 3/2))) * * * * [misc]progress: [ 85 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI))) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (277 enodes) * [exit]simplify: Simplified to (- (* (- (log f) (- (log 4) (log PI))) (/ 4 PI)) (+ (* (* 7/96 f) (* f PI)) (* f 3/2))) * * * * [misc]progress: [ 86 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ (+ (log 4) (log f)) PI)) (* (/ 4 PI) (log PI))) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (340 enodes) * [exit]simplify: Simplified to (- (* (/ 4 PI) (+ (+ (log f) (log 4)) (log PI))) (+ (* (* f f) (* 7/96 PI)) (* f 3/2))) * * * * [misc]progress: [ 87 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ (- (log 4) (log (/ 1 f))) PI)) (* (/ 4 PI) (log PI))) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * * [misc]simplify: iters left: 2 (498 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (log f) (log 4)) (log PI)) (/ 4 PI)) (* f (- 3/2 (* (- f) (* PI 7/96))))) * * * * [misc]progress: [ 88 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ (- (+ (log -1) (log 4)) (log (/ -1 f))) PI)) (* (/ 4 PI) (log PI))) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * [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 (295 enodes) * [exit]simplify: Simplified to (+ (- (* (log PI) (/ 4 PI)) (+ (* f 3/2) (* (* 7/96 PI) (* f f)))) (* (/ 4 PI) (+ (+ 0 (log f)) (log 4)))) * * * * [misc]progress: [ 89 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI))) (+ (* 7/96 (* (pow f 2) PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (258 enodes) * [exit]simplify: Simplified to (- (* (- (+ (log f) (log PI)) (log 4)) (/ 4 PI)) (+ (* (* f 7/96) (* f PI)) (* 3/2 f))) * * * * [misc]progress: [ 90 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI))) (+ (* 7/96 (* (pow f 2) PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (258 enodes) * [exit]simplify: Simplified to (- (* (- (+ (log f) (log PI)) (log 4)) (/ 4 PI)) (+ (* (* f 7/96) (* f PI)) (* 3/2 f))) * * * * [misc]progress: [ 91 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (/ 4 PI) (- (log f) (log 4))) (* (/ 4 PI) (log PI))) (+ (* 7/96 (* (pow f 2) PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (258 enodes) * [exit]simplify: Simplified to (- (* (- (+ (log f) (log PI)) (log 4)) (/ 4 PI)) (+ (* (* f 7/96) (* f PI)) (* 3/2 f))) * * * * [misc]progress: [ 92 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ (log 4) PI)) (+ (* 4 (/ (log f) PI)) (* 4 (/ (log PI) PI)))) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (+ (- (* (/ 4 PI) (+ (log f) (log 4))) (+ (* (* f PI) (* 7/96 f)) (* 3/2 f))) (/ (log PI) (/ PI 4))) * * * * [misc]progress: [ 93 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 4 (/ (log 4) PI)) (* 4 (/ (log PI) PI))) (* 4 (/ (log (/ 1 f)) PI))) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [exit]simplify: Simplified to (- (- (* (/ 4 PI) (log PI)) (+ (* f 3/2) (* (* PI f) (* 7/96 f)))) (* (/ 4 PI) (- (- (log f)) (log 4)))) * * * * [misc]progress: [ 94 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 4 (/ (log 4) PI)) (+ (* 4 (/ (log -1) PI)) (* 4 (/ (log PI) PI)))) (* 4 (/ (log (/ -1 f)) PI))) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (+ (- (+ (* (/ 4 PI) (log -1)) (* (/ 4 PI) (log PI))) (* (/ 4 PI) (log (/ -1 f)))) (- (* (/ 4 PI) (log 4)) (+ (* f 3/2) (* (* 7/96 PI) (* f f))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (- (log f) (log 4))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (- (log f) (log 4)) in f * [misc]taylor: Taking taylor expansion of (log f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (- (log f) (log 4))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (- (log f) (log 4)) in f * [misc]taylor: Taking taylor expansion of (log f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]backup-simplify: Simplify (+ (log f) (log 4)) into (+ (log 4) (log f)) * [misc]backup-simplify: Simplify (* (* 2 (sqrt (/ 1 PI))) (+ (log 4) (log f))) into (* 2 (* (+ (log 4) (log f)) (sqrt (/ 1 PI)))) * [misc]backup-simplify: Simplify (* (* 2 (sqrt (/ 1 PI))) (* 2 (* (+ (log 4) (log f)) (sqrt (/ 1 PI))))) into (* 4 (/ (+ (log 4) (log f)) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (+ (log 4) (log f)) PI)) into (* 4 (/ (+ (log 4) (log f)) 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 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 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (/ (+ (log 4) (log f)) PI)) into (* 4 (/ (+ (log 4) (log f)) PI)) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log (/ 1 f)) (log 4)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log (/ 1 f)) (log 4)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (- (log (/ 1 f)) (log 4))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (- (log (/ 1 f)) (log 4)) in f * [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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log (/ 1 f)) (log 4)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (- (log (/ 1 f)) (log 4))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (- (log (/ 1 f)) (log 4)) in f * [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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]backup-simplify: Simplify (* -1 (log f)) into (* -1 (log f)) * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]backup-simplify: Simplify (+ (* -1 (log f)) (log 4)) into (- (log 4) (log f)) * [misc]backup-simplify: Simplify (* (* 2 (sqrt (/ 1 PI))) (- (log 4) (log f))) into (* 2 (* (sqrt (/ 1 PI)) (- (log 4) (log f)))) * [misc]backup-simplify: Simplify (* (* 2 (sqrt (/ 1 PI))) (* 2 (* (sqrt (/ 1 PI)) (- (log 4) (log f))))) into (* 4 (/ (- (log 4) (log f)) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (log 4) (log f)) PI)) into (* 4 (/ (- (log 4) (log f)) 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 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 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 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 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 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 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 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 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 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (/ (- (log 4) (log (/ 1 f))) PI)) into (* 4 (/ (- (log 4) (log (/ 1 f))) PI)) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log (/ 1 (- f))) (log 4)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log (/ 1 (- f))) (log 4)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (- (log (/ 1 (- f))) (log 4))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (- f))) (log 4)) in f * [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 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log (/ 1 (- f))) (log 4)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (- (log (/ 1 (- f))) (log 4))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (- f))) (log 4)) in f * [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 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]backup-simplify: Simplify (+ (* -1 (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]backup-simplify: Simplify (+ (- (log -1) (log f)) (log 4)) into (- (+ (log -1) (log 4)) (log f)) * [misc]backup-simplify: Simplify (* (* 2 (sqrt (/ 1 PI))) (- (+ (log -1) (log 4)) (log f))) into (* 2 (* (- (+ (log -1) (log 4)) (log f)) (sqrt (/ 1 PI)))) * [misc]backup-simplify: Simplify (* (* 2 (sqrt (/ 1 PI))) (* 2 (* (- (+ (log -1) (log 4)) (log f)) (sqrt (/ 1 PI))))) into (* 4 (/ (- (+ (log -1) (log 4)) (log f)) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (+ (log -1) (log 4)) (log f)) PI)) into (* 4 (/ (- (+ (log -1) (log 4)) (log f)) PI)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [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 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 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 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 into 0 * [misc]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 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 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 into 0 * [misc]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 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 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 into 0 * [misc]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 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 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 into 0 * [misc]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 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (/ (- (+ (log -1) (log 4)) (log (/ 1 (- f)))) PI)) into (* 4 (/ (- (+ (log -1) (log 4)) (log (/ -1 f))) PI)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 4 PI)) (- (log f) (log 4))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (- (log f) (log 4))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (- (log f) (log 4)) in f * [misc]taylor: Taking taylor expansion of (log f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (- (log f) (log 4))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (- (log f) (log 4)) in f * [misc]taylor: Taking taylor expansion of (log f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]backup-simplify: Simplify (log f) into (log f) * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]backup-simplify: Simplify (+ (log f) (log 4)) into (+ (log 4) (log f)) * [misc]backup-simplify: Simplify (* (* 2 (sqrt (/ 1 PI))) (+ (log 4) (log f))) into (* 2 (* (+ (log 4) (log f)) (sqrt (/ 1 PI)))) * [misc]backup-simplify: Simplify (* 2 (* (+ (log 4) (log f)) (sqrt (/ 1 PI)))) into (* 2 (* (+ (log 4) (log f)) (sqrt (/ 1 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 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 (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2 (* (+ (log 4) (log f)) (sqrt (/ 1 PI)))) into (* 2 (* (+ (log 4) (log f)) (sqrt (/ 1 PI)))) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 4 PI)) (- (log (/ 1 f)) (log 4))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (- (log (/ 1 f)) (log 4))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (- (log (/ 1 f)) (log 4)) in f * [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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (- (log (/ 1 f)) (log 4))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (- (log (/ 1 f)) (log 4)) in f * [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 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]backup-simplify: Simplify (* -1 (log f)) into (* -1 (log f)) * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]backup-simplify: Simplify (+ (* -1 (log f)) (log 4)) into (- (log 4) (log f)) * [misc]backup-simplify: Simplify (* (* 2 (sqrt (/ 1 PI))) (- (log 4) (log f))) into (* 2 (* (sqrt (/ 1 PI)) (- (log 4) (log f)))) * [misc]backup-simplify: Simplify (* 2 (* (sqrt (/ 1 PI)) (- (log 4) (log f)))) into (* 2 (* (sqrt (/ 1 PI)) (- (log 4) (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 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 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 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 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 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 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 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 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 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2 (* (sqrt (/ 1 PI)) (- (log 4) (log (/ 1 f))))) into (* 2 (* (sqrt (/ 1 PI)) (- (log 4) (log (/ 1 f))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 4 PI)) (- (log (/ 1 (- f))) (log 4))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (- (log (/ 1 (- f))) (log 4))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (- f))) (log 4)) in f * [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 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (- (log (/ 1 (- f))) (log 4))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (/ 0 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (- f))) (log 4)) in f * [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 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log 4) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]backup-simplify: Simplify (+ (* -1 (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (log 4) into (log 4) * [misc]backup-simplify: Simplify (+ (- (log -1) (log f)) (log 4)) into (- (+ (log -1) (log 4)) (log f)) * [misc]backup-simplify: Simplify (* (* 2 (sqrt (/ 1 PI))) (- (+ (log -1) (log 4)) (log f))) into (* 2 (* (- (+ (log -1) (log 4)) (log f)) (sqrt (/ 1 PI)))) * [misc]backup-simplify: Simplify (* 2 (* (- (+ (log -1) (log 4)) (log f)) (sqrt (/ 1 PI)))) into (* 2 (* (- (+ (log -1) (log 4)) (log f)) (sqrt (/ 1 PI)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [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 0 into 0 * [misc]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 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 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 into 0 * [misc]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 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 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 into 0 * [misc]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 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 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 into 0 * [misc]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 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 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 into 0 * [misc]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 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 PI) (* (/ 4 PI) (/ 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2 (* (- (+ (log -1) (log 4)) (log (/ 1 (- f)))) (sqrt (/ 1 PI)))) into (* 2 (* (- (+ (log -1) (log 4)) (log (/ -1 f))) (sqrt (/ 1 PI)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (* f f) (* 7/96 PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (* f f) (* 7/96 PI)) in f * [misc]taylor: Taking taylor expansion of (* f f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 7/96 PI) in f * [misc]taylor: Taking taylor expansion of 7/96 in f * [misc]backup-simplify: Simplify 7/96 into 7/96 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (* f f) (* 7/96 PI)) in f * [misc]taylor: Taking taylor expansion of (* f f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 7/96 PI) in f * [misc]taylor: Taking taylor expansion of 7/96 in f * [misc]backup-simplify: Simplify 7/96 into 7/96 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 7/96 PI) into (* 7/96 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 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 (* 7/96 PI) into (* 7/96 PI) * [misc]backup-simplify: Simplify (* 7/96 PI) into (* 7/96 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 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 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 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 (* (* 7/96 PI) (pow f 2)) into (* 7/96 (* (pow f 2) PI)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 f) (/ 1 f)) (* 7/96 PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 f) (/ 1 f)) (* 7/96 PI)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 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 into 1 * [misc]taylor: Taking taylor expansion of (* 7/96 PI) in f * [misc]taylor: Taking taylor expansion of 7/96 in f * [misc]backup-simplify: Simplify 7/96 into 7/96 * [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 f)) (* 7/96 PI)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 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 into 1 * [misc]taylor: Taking taylor expansion of (* 7/96 PI) in f * [misc]taylor: Taking taylor expansion of 7/96 in f * [misc]backup-simplify: Simplify 7/96 into 7/96 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 7/96 PI) into (* 7/96 PI) * [misc]backup-simplify: Simplify (* 7/96 PI) into (* 7/96 PI) * [misc]backup-simplify: Simplify (* 7/96 PI) into (* 7/96 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 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 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 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 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 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 (* (* 7/96 PI) (pow (/ 1 (/ 1 f)) 2)) into (* 7/96 (* (pow f 2) PI)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- f)) (/ 1 (- f))) (* 7/96 PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- f)) (/ 1 (- f))) (* 7/96 PI)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 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 into -1 * [misc]taylor: Taking taylor expansion of (* 7/96 PI) in f * [misc]taylor: Taking taylor expansion of 7/96 in f * [misc]backup-simplify: Simplify 7/96 into 7/96 * [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 (- f))) (* 7/96 PI)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 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 into -1 * [misc]taylor: Taking taylor expansion of (* 7/96 PI) in f * [misc]taylor: Taking taylor expansion of 7/96 in f * [misc]backup-simplify: Simplify 7/96 into 7/96 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 7/96 PI) into (* 7/96 PI) * [misc]backup-simplify: Simplify (* 7/96 PI) into (* 7/96 PI) * [misc]backup-simplify: Simplify (* 7/96 PI) into (* 7/96 PI) * [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 0 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [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 into 0 * [misc]backup-simplify: Simplify -1 into -1 * [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 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 into 0 * [misc]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 0 into 0 * [misc]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 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 into 0 * [misc]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 0 into 0 * [misc]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 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 into 0 * [misc]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 0 into 0 * [misc]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 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 into 0 * [misc]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 0 into 0 * [misc]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 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 (* (* 7/96 PI) (pow (/ 1 (/ 1 (- f))) 2)) into (* 7/96 (* (pow f 2) PI)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (log PI)) * * [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 (* (/ 4 PI) (log PI)) * [exit]simplify: Simplified to (* (/ 4 PI) (log PI)) * * * * [misc]progress: [ 2 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 4 PI)) (log (log PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (+ (log (/ 4 PI)) (log (log PI))) * [exit]simplify: Simplified to (+ (log (/ 4 PI)) (log (log PI))) * * * * [misc]progress: [ 4 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ 4 PI) (log PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (log (* (/ 4 PI) (log PI))) * [exit]simplify: Simplified to (log (* (/ 4 PI) (log PI))) * * * * [misc]progress: [ 5 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ 4 PI) (log PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (pow PI (/ 4 PI)) * [exit]simplify: Simplified to (pow PI (/ 4 PI)) * * * * [misc]progress: [ 6 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 4 PI) (/ 4 PI)) (/ 4 PI)) (* (* (log PI) (log PI)) (log PI))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * [exit]simplify: Simplified to (* (pow (/ 4 PI) 3) (pow (log PI) 3)) * [exit]simplify: Simplified to (* (pow (/ 4 PI) 3) (pow (log PI) 3)) * * * * [misc]progress: [ 7 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ 4 PI) (log PI))) (cbrt (* (/ 4 PI) (log PI)))) * * [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 (* (/ 4 PI) (log PI))) (cbrt (* (/ 4 PI) (log PI)))) * [exit]simplify: Simplified to (* (cbrt (* (/ 4 PI) (log PI))) (cbrt (* (/ 4 PI) (log PI)))) * [enter]simplify: Simplifying (cbrt (* (/ 4 PI) (log PI))) * * [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 (* (/ 4 PI) (log PI))) * [exit]simplify: Simplified to (cbrt (* (/ 4 PI) (log PI))) * * * * [misc]progress: [ 8 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 4 PI) (log PI)) (* (/ 4 PI) (log PI))) (* (/ 4 PI) (log PI))) * * [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 (* (/ 4 PI) (log PI)) 3) * [exit]simplify: Simplified to (pow (* (/ 4 PI) (log PI)) 3) * * * * [misc]progress: [ 9 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ 4 PI) (log PI))) * * [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 (* (/ 4 PI) (log PI))) * [exit]simplify: Simplified to (sqrt (* (/ 4 PI) (log PI))) * [enter]simplify: Simplifying (sqrt (* (/ 4 PI) (log PI))) * * [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 (* (/ 4 PI) (log PI))) * [exit]simplify: Simplified to (sqrt (* (/ 4 PI) (log PI))) * * * * [misc]progress: [ 10 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (* (cbrt (log PI)) (cbrt (log PI)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (log PI)) PI) (* (cbrt (log PI)) 4)) * [exit]simplify: Simplified to (* (/ (cbrt (log PI)) PI) (* (cbrt (log PI)) 4)) * * * * [misc]progress: [ 12 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (sqrt (log PI))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (* (sqrt (log PI)) (/ 4 PI)) * [exit]simplify: Simplified to (* (sqrt (log PI)) (/ 4 PI)) * * * * [misc]progress: [ 13 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (/ 4 PI) * [exit]simplify: Simplified to (/ 4 PI) * * * * [misc]progress: [ 14 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4 PI)) (log PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (log PI) (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (* (log PI) (cbrt (/ 4 PI))) * * * * [misc]progress: [ 15 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (log PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (log PI) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (* (log PI) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 16 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (log PI)) * * [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 (* (/ 4 PI) (log PI)) * [exit]simplify: Simplified to (* (/ 4 PI) (log PI)) * * * * [misc]progress: [ 17 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 PI) (log PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (log PI) PI) * [exit]simplify: Simplified to (/ (log PI) PI) * * * * [misc]progress: [ 18 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (log PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* 4 (log PI)) * [exit]simplify: Simplified to (* 4 (log PI)) * * * * [misc]progress: [ 19 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * * * * [misc]progress: [ 21 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * * * * [misc]progress: [ 22 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (/ 4 PI))) (+ (log (sqrt (/ 4 PI))) (log (- (log f) (log 4))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (+ (+ (log (sqrt (/ 4 PI))) (log (- (log f) (log 4)))) (log (sqrt (/ 4 PI)))) * [exit]simplify: Simplified to (+ (+ (log (sqrt (/ 4 PI))) (log (- (log f) (log 4)))) (log (sqrt (/ 4 PI)))) * * * * [misc]progress: [ 24 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (/ 4 PI))) (log (* (sqrt (/ 4 PI)) (- (log f) (log 4))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (+ (log (* (- (log f) (log 4)) (sqrt (/ 4 PI)))) (log (sqrt (/ 4 PI)))) * [exit]simplify: Simplified to (+ (log (* (- (log f) (log 4)) (sqrt (/ 4 PI)))) (log (sqrt (/ 4 PI)))) * * * * [misc]progress: [ 25 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log 4))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (log (/ (- (log f) (log 4)) (/ PI 4))) * [exit]simplify: Simplified to (log (/ (- (log f) (log 4)) (/ PI 4))) * * * * [misc]progress: [ 26 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log 4))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (pow (/ f 4) (/ 4 PI)) * [exit]simplify: Simplified to (pow (/ f 4) (/ 4 PI)) * * * * [misc]progress: [ 27 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))) (sqrt (/ 4 PI))) (* (* (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))) (sqrt (/ 4 PI))) (* (* (- (log f) (log 4)) (- (log f) (log 4))) (- (log f) (log 4))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * [exit]simplify: Simplified to (* (* (* (/ 4 PI) (/ 4 PI)) (/ 4 PI)) (pow (- (log f) (log 4)) 3)) * [exit]simplify: Simplified to (* (* (* (/ 4 PI) (/ 4 PI)) (/ 4 PI)) (pow (- (log f) (log 4)) 3)) * * * * [misc]progress: [ 28 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))) (sqrt (/ 4 PI))) (* (* (* (sqrt (/ 4 PI)) (- (log f) (log 4))) (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) (* (sqrt (/ 4 PI)) (- (log f) (log 4))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * [exit]simplify: Simplified to (* (* (* (- (log f) (log 4)) (/ 4 PI)) (* (- (log f) (log 4)) (/ 4 PI))) (* (- (log f) (log 4)) (/ 4 PI))) * [exit]simplify: Simplified to (* (* (* (- (log f) (log 4)) (/ 4 PI)) (* (- (log f) (log 4)) (/ 4 PI))) (* (- (log f) (log 4)) (/ 4 PI))) * * * * [misc]progress: [ 29 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log 4))))) (cbrt (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log 4)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ 4 PI) (- (log f) (log 4)))) (cbrt (* (/ 4 PI) (- (log f) (log 4))))) * [exit]simplify: Simplified to (* (cbrt (* (/ 4 PI) (- (log f) (log 4)))) (cbrt (* (/ 4 PI) (- (log f) (log 4))))) * [enter]simplify: Simplifying (cbrt (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log 4))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (cbrt (* (- (log f) (log 4)) (/ 4 PI))) * [exit]simplify: Simplified to (cbrt (* (- (log f) (log 4)) (/ 4 PI))) * * * * [misc]progress: [ 30 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log 4))))) (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log 4))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (381 enodes) * [exit]simplify: Simplified to (pow (* (/ 4 PI) (- (log f) (log 4))) 3) * [exit]simplify: Simplified to (pow (* (/ 4 PI) (- (log f) (log 4))) 3) * * * * [misc]progress: [ 31 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log 4))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (sqrt (* (- (log f) (log 4)) (/ 4 PI))) * [exit]simplify: Simplified to (sqrt (* (- (log f) (log 4)) (/ 4 PI))) * [enter]simplify: Simplifying (sqrt (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log 4))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (sqrt (* (- (log f) (log 4)) (/ 4 PI))) * [exit]simplify: Simplified to (sqrt (* (- (log f) (log 4)) (/ 4 PI))) * * * * [misc]progress: [ 32 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 4) (* (sqrt 4) (- (pow (log f) 3) (pow (log 4) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (- (* (* (log f) 4) (* (log f) (log f))) (* (* (log 4) 4) (* (log 4) (log 4)))) * [exit]simplify: Simplified to (- (* (* (log f) 4) (* (log f) (log f))) (* (* (log 4) 4) (* (log 4) (log 4)))) * [enter]simplify: Simplifying (* (sqrt PI) (* (sqrt PI) (+ (* (log f) (log f)) (+ (* (log 4) (log 4)) (* (log f) (log 4)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * * [misc]simplify: iters left: 2 (342 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to (+ (* (+ (log f) (log 4)) (* (log 4) PI)) (* (* (log f) PI) (log f))) * [exit]simplify: Simplified to (+ (* (+ (log f) (log 4)) (* (log 4) PI)) (* (* (log f) PI) (log f))) * * * * [misc]progress: [ 33 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 4) (* (sqrt 4) (- (* (log f) (log f)) (* (log 4) (log 4))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (448 enodes) * [exit]simplify: Simplified to (* (+ (log f) (log 4)) (* (- (log f) (log 4)) 4)) * [exit]simplify: Simplified to (* (+ (log f) (log 4)) (* (- (log f) (log 4)) 4)) * [enter]simplify: Simplifying (* (sqrt PI) (* (sqrt PI) (+ (log f) (log 4)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * [exit]simplify: Simplified to (* (+ (log f) (log 4)) PI) * [exit]simplify: Simplified to (* (+ (log f) (log 4)) PI) * * * * [misc]progress: [ 34 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 4) (* (sqrt (/ 4 PI)) (- (pow (log f) 3) (pow (log 4) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * * [misc]simplify: iters left: 1 (407 enodes) * [exit]simplify: Simplified to (* (- (pow (log f) 3) (pow (log 4) 3)) (* (sqrt (/ 4 PI)) (sqrt 4))) * [exit]simplify: Simplified to (* (- (pow (log f) 3) (pow (log 4) 3)) (* (sqrt (/ 4 PI)) (sqrt 4))) * [enter]simplify: Simplifying (* (sqrt PI) (+ (* (log f) (log f)) (+ (* (log 4) (log 4)) (* (log f) (log 4))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (+ (* (* (log f) (sqrt PI)) (+ (log f) (log 4))) (* (log 4) (* (log 4) (sqrt PI)))) * [exit]simplify: Simplified to (+ (* (* (log f) (sqrt PI)) (+ (log f) (log 4))) (* (log 4) (* (log 4) (sqrt PI)))) * * * * [misc]progress: [ 35 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 4) (* (sqrt (/ 4 PI)) (- (* (log f) (log f)) (* (log 4) (log 4))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * [exit]simplify: Simplified to (* (* (sqrt (/ 4 PI)) (- (log f) (log 4))) (* (+ (log 4) (log f)) (sqrt 4))) * [exit]simplify: Simplified to (* (* (sqrt (/ 4 PI)) (- (log f) (log 4))) (* (+ (log 4) (log f)) (sqrt 4))) * [enter]simplify: Simplifying (* (sqrt PI) (+ (log f) (log 4))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (+ (log f) (log 4)) (sqrt PI)) * [exit]simplify: Simplified to (* (+ (log f) (log 4)) (sqrt PI)) * * * * [misc]progress: [ 36 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 4) (* (sqrt 4) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (- (log f) (log 4)) 4) * [exit]simplify: Simplified to (* (- (log f) (log 4)) 4) * [enter]simplify: Simplifying (* (sqrt PI) (sqrt PI)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to PI * [exit]simplify: Simplified to PI * * * * [misc]progress: [ 37 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (log f))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ (log f) (/ PI 4)) * [exit]simplify: Simplified to (/ (log f) (/ PI 4)) * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log 4)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ (- (log 4)) (/ PI 4)) * [exit]simplify: Simplified to (/ (- (log 4)) (/ PI 4)) * * * * [misc]progress: [ 39 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (log f))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ (log f) (/ PI 4)) * [exit]simplify: Simplified to (/ (log f) (/ PI 4)) * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log 4)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ (- (log 4)) (/ PI 4)) * [exit]simplify: Simplified to (/ (- (log 4)) (/ PI 4)) * * * * [misc]progress: [ 40 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (log f) (sqrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (log f) (/ PI 4)) * [exit]simplify: Simplified to (/ (log f) (/ PI 4)) * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (- (log 4)) (sqrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (- (log 4)) (/ PI 4)) * [exit]simplify: Simplified to (/ (- (log 4)) (/ PI 4)) * * * * [misc]progress: [ 41 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (log f) (sqrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (log f) (/ PI 4)) * [exit]simplify: Simplified to (/ (log f) (/ PI 4)) * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (- (log 4)) (sqrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (- (log 4)) (/ PI 4)) * [exit]simplify: Simplified to (/ (- (log 4)) (/ PI 4)) * * * * [misc]progress: [ 42 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ 4 PI)) (log f)) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (log f) (/ PI 4)) * [exit]simplify: Simplified to (/ (log f) (/ PI 4)) * [enter]simplify: Simplifying (* (* (sqrt (/ 4 PI)) (- (log 4))) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (- (log 4)) (/ PI 4)) * [exit]simplify: Simplified to (/ (- (log 4)) (/ PI 4)) * * * * [misc]progress: [ 43 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ 4 PI)) (log f)) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (log f) (/ PI 4)) * [exit]simplify: Simplified to (/ (log f) (/ PI 4)) * [enter]simplify: Simplifying (* (* (sqrt (/ 4 PI)) (- (log 4))) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (- (log 4)) (/ PI 4)) * [exit]simplify: Simplified to (/ (- (log 4)) (/ PI 4)) * * * * [misc]progress: [ 44 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log f) (sqrt (/ 4 PI))) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ (log f) (/ PI 4)) * [exit]simplify: Simplified to (/ (log f) (/ PI 4)) * [enter]simplify: Simplifying (* (* (- (log 4)) (sqrt (/ 4 PI))) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (- (log 4)) (/ PI 4)) * [exit]simplify: Simplified to (/ (- (log 4)) (/ PI 4)) * * * * [misc]progress: [ 45 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log f) (sqrt (/ 4 PI))) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ (log f) (/ PI 4)) * [exit]simplify: Simplified to (/ (log f) (/ PI 4)) * [enter]simplify: Simplifying (* (* (- (log 4)) (sqrt (/ 4 PI))) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (- (log 4)) (/ PI 4)) * [exit]simplify: Simplified to (/ (- (log 4)) (/ PI 4)) * * * * [misc]progress: [ 46 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ 4 PI) * [exit]simplify: Simplified to (/ 4 PI) * * * * [misc]progress: [ 47 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ 4 PI))) (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (* (* (- (log f) (log 4)) (sqrt (/ 4 PI))) (cbrt (sqrt (/ 4 PI)))) * [exit]simplify: Simplified to (* (* (- (log f) (log 4)) (sqrt (/ 4 PI))) (cbrt (sqrt (/ 4 PI)))) * * * * [misc]progress: [ 48 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (/ 4 PI))) (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (/ 4 PI))) (* (- (log f) (log 4)) (sqrt (/ 4 PI)))) * [exit]simplify: Simplified to (* (sqrt (cbrt (/ 4 PI))) (* (- (log f) (log 4)) (sqrt (/ 4 PI)))) * * * * [misc]progress: [ 49 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ 4 PI))) (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (* (* (- (log f) (log 4)) (sqrt (/ 4 PI))) (sqrt (sqrt (/ 4 PI)))) * [exit]simplify: Simplified to (* (* (- (log f) (log 4)) (sqrt (/ 4 PI))) (sqrt (sqrt (/ 4 PI)))) * * * * [misc]progress: [ 50 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * * * * [misc]progress: [ 51 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (* (- (log f) (log 4)) (sqrt (/ 1 PI)))) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (* (- (log f) (log 4)) (sqrt (/ 1 PI)))) * * * * [misc]progress: [ 52 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ 4 PI))) (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (* (* (- (log f) (log 4)) (sqrt (/ 4 PI))) (sqrt (sqrt (/ 4 PI)))) * [exit]simplify: Simplified to (* (* (- (log f) (log 4)) (sqrt (/ 4 PI))) (sqrt (sqrt (/ 4 PI)))) * * * * [misc]progress: [ 53 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log 4))) * * * * [misc]progress: [ 54 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (sqrt 4) (- (pow (log f) 3) (pow (log 4) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * * [misc]simplify: iters left: 1 (407 enodes) * [exit]simplify: Simplified to (* (- (pow (log f) 3) (pow (log 4) 3)) (* (sqrt 4) (sqrt (/ 4 PI)))) * [exit]simplify: Simplified to (* (- (pow (log f) 3) (pow (log 4) 3)) (* (sqrt 4) (sqrt (/ 4 PI)))) * * * * [misc]progress: [ 55 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (sqrt 4) (- (* (log f) (log f)) (* (log 4) (log 4))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * [exit]simplify: Simplified to (* (* (- (log f) (log 4)) (sqrt (/ 4 PI))) (* (+ (log 4) (log f)) (sqrt 4))) * [exit]simplify: Simplified to (* (* (- (log f) (log 4)) (sqrt (/ 4 PI))) (* (+ (log 4) (log f)) (sqrt 4))) * * * * [misc]progress: [ 56 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (pow (log f) 3) (pow (log 4) 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * * [misc]simplify: iters left: 1 (453 enodes) * [exit]simplify: Simplified to (- (* (* (log f) (log f)) (* (log f) (/ 4 PI))) (* (* (log 4) (/ 4 PI)) (* (log 4) (log 4)))) * [exit]simplify: Simplified to (- (* (* (log f) (log f)) (* (log f) (/ 4 PI))) (* (* (log 4) (/ 4 PI)) (* (log 4) (log 4)))) * * * * [misc]progress: [ 57 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (* (log f) (log f)) (* (log 4) (log 4))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * [exit]simplify: Simplified to (/ (* (- (log f) (log 4)) (+ (log 4) (log f))) (/ PI 4)) * [exit]simplify: Simplified to (/ (* (- (log f) (log 4)) (+ (log 4) (log f))) (/ PI 4)) * * * * [misc]progress: [ 58 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (sqrt 4) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (* (* (sqrt 4) (sqrt (/ 4 PI))) (- (log f) (log 4))) * [exit]simplify: Simplified to (* (* (sqrt 4) (sqrt (/ 4 PI))) (- (log f) (log 4))) * * * * [misc]progress: [ 59 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 4) (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (* (* (sqrt (/ 4 PI)) (sqrt 4)) (- (log f) (log 4))) * [exit]simplify: Simplified to (* (* (sqrt (/ 4 PI)) (sqrt 4)) (- (log f) (log 4))) * * * * [misc]progress: [ 60 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (- (log f) (log 4))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 62 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (/ 4 PI))) (log (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (/ 4 PI))) (log (- (log f) (log 4)))) * [exit]simplify: Simplified to (+ (log (sqrt (/ 4 PI))) (log (- (log f) (log 4)))) * * * * [misc]progress: [ 64 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (log (* (- (log f) (log 4)) (sqrt (/ 4 PI)))) * [exit]simplify: Simplified to (log (* (- (log f) (log 4)) (sqrt (/ 4 PI)))) * * * * [misc]progress: [ 65 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (pow (/ f 4) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (pow (/ f 4) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 66 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))) (sqrt (/ 4 PI))) (* (* (- (log f) (log 4)) (- (log f) (log 4))) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * [exit]simplify: Simplified to (* (pow (- (log f) (log 4)) 3) (* (/ 4 PI) (sqrt (/ 4 PI)))) * [exit]simplify: Simplified to (* (pow (- (log f) (log 4)) 3) (* (/ 4 PI) (sqrt (/ 4 PI)))) * * * * [misc]progress: [ 67 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) (cbrt (* (sqrt (/ 4 PI)) (- (log f) (log 4))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (* (- (log f) (log 4)) (sqrt (/ 4 PI)))) (cbrt (* (- (log f) (log 4)) (sqrt (/ 4 PI))))) * [exit]simplify: Simplified to (* (cbrt (* (- (log f) (log 4)) (sqrt (/ 4 PI)))) (cbrt (* (- (log f) (log 4)) (sqrt (/ 4 PI))))) * [enter]simplify: Simplifying (cbrt (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (cbrt (* (- (log f) (log 4)) (sqrt (/ 4 PI)))) * [exit]simplify: Simplified to (cbrt (* (- (log f) (log 4)) (sqrt (/ 4 PI)))) * * * * [misc]progress: [ 68 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (/ 4 PI)) (- (log f) (log 4))) (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (pow (* (- (log f) (log 4)) (sqrt (/ 4 PI))) 3) * [exit]simplify: Simplified to (pow (* (- (log f) (log 4)) (sqrt (/ 4 PI))) 3) * * * * [misc]progress: [ 69 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (sqrt (* (- (log f) (log 4)) (sqrt (/ 4 PI)))) * [exit]simplify: Simplified to (sqrt (* (- (log f) (log 4)) (sqrt (/ 4 PI)))) * [enter]simplify: Simplifying (sqrt (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (sqrt (* (- (log f) (log 4)) (sqrt (/ 4 PI)))) * [exit]simplify: Simplified to (sqrt (* (- (log f) (log 4)) (sqrt (/ 4 PI)))) * * * * [misc]progress: [ 70 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 4) (- (pow (log f) 3) (pow (log 4) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (- (* (* (log f) (sqrt 4)) (* (log f) (log f))) (* (* (log 4) (log 4)) (* (log 4) (sqrt 4)))) * [exit]simplify: Simplified to (- (* (* (log f) (sqrt 4)) (* (log f) (log f))) (* (* (log 4) (log 4)) (* (log 4) (sqrt 4)))) * [enter]simplify: Simplifying (* (sqrt PI) (+ (* (log f) (log f)) (+ (* (log 4) (log 4)) (* (log f) (log 4))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (+ (* (* (log f) (sqrt PI)) (+ (log f) (log 4))) (* (log 4) (* (log 4) (sqrt PI)))) * [exit]simplify: Simplified to (+ (* (* (log f) (sqrt PI)) (+ (log f) (log 4))) (* (log 4) (* (log 4) (sqrt PI)))) * * * * [misc]progress: [ 71 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 4) (- (* (log f) (log f)) (* (log 4) (log 4)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (483 enodes) * [exit]simplify: Simplified to (* (+ (log f) (log 4)) (* (- (log f) (log 4)) (sqrt 4))) * [exit]simplify: Simplified to (* (+ (log f) (log 4)) (* (- (log f) (log 4)) (sqrt 4))) * [enter]simplify: Simplifying (* (sqrt PI) (+ (log f) (log 4))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (+ (log f) (log 4)) (sqrt PI)) * [exit]simplify: Simplified to (* (+ (log f) (log 4)) (sqrt PI)) * * * * [misc]progress: [ 72 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (log f)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (log f)) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (log f)) * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (- (log 4))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (- (log 4))) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (- (log 4))) * * * * [misc]progress: [ 74 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (log f)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (log f)) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (log f)) * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (- (log 4))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (- (log 4))) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (- (log 4))) * * * * [misc]progress: [ 75 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log f) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (log f)) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (log f)) * [enter]simplify: Simplifying (* (- (log 4)) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (- (log 4))) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (- (log 4))) * * * * [misc]progress: [ 76 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log f) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (log f)) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (log f)) * [enter]simplify: Simplifying (* (- (log 4)) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (- (log 4))) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (- (log 4))) * * * * [misc]progress: [ 77 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (cbrt (- (log f) (log 4))) (cbrt (- (log f) (log 4))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (log f) (log 4))) (sqrt (/ 4 PI))) (cbrt (- (log f) (log 4)))) * [exit]simplify: Simplified to (* (* (cbrt (- (log f) (log 4))) (sqrt (/ 4 PI))) (cbrt (- (log f) (log 4)))) * * * * [misc]progress: [ 78 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (sqrt (- (log f) (log 4)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (- (log f) (log 4))) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (* (sqrt (- (log f) (log 4))) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 79 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 PI)) * [exit]simplify: Simplified to (sqrt (/ 4 PI)) * * * * [misc]progress: [ 80 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (+ (sqrt (log f)) (sqrt (log 4)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (+ (sqrt (log 4)) (sqrt (log f))) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (* (+ (sqrt (log 4)) (sqrt (log f))) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 81 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 PI)) * [exit]simplify: Simplified to (sqrt (/ 4 PI)) * * * * [misc]progress: [ 82 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ 4 PI))) (- (log f) (log 4))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (cbrt (sqrt (/ 4 PI)))) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (cbrt (sqrt (/ 4 PI)))) * * * * [misc]progress: [ 83 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (/ 4 PI))) (- (log f) (log 4))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (sqrt (cbrt (/ 4 PI)))) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (sqrt (cbrt (/ 4 PI)))) * * * * [misc]progress: [ 84 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ 4 PI))) (- (log f) (log 4))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (sqrt (sqrt (/ 4 PI)))) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (sqrt (sqrt (/ 4 PI)))) * * * * [misc]progress: [ 85 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (- (log f) (log 4))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 86 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 PI)) (- (log f) (log 4))) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (sqrt (/ 1 PI))) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (sqrt (/ 1 PI))) * * * * [misc]progress: [ 87 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (/ 4 PI))) (- (log f) (log 4))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (sqrt (sqrt (/ 4 PI)))) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (sqrt (sqrt (/ 4 PI)))) * * * * [misc]progress: [ 88 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (- (log f) (log 4))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 89 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (- (pow (log f) 3) (pow (log 4) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (* (- (pow (log f) 3) (pow (log 4) 3)) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (* (- (pow (log f) 3) (pow (log 4) 3)) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 90 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (- (* (log f) (log f)) (* (log 4) (log 4)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (477 enodes) * [exit]simplify: Simplified to (* (* (+ (log 4) (log f)) (- (log f) (log 4))) (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (* (* (+ (log 4) (log f)) (- (log f) (log 4))) (sqrt (/ 4 PI))) * * * * [misc]progress: [ 91 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 4) (- (log f) (log 4))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (sqrt 4)) * [exit]simplify: Simplified to (* (- (log f) (log 4)) (sqrt 4)) * * * * [misc]progress: [ 92 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* f f) (* 7/96 PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (* PI f) (* f 7/96)) * [exit]simplify: Simplified to (* (* PI f) (* f 7/96)) * * * * [misc]progress: [ 94 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* f f)) (log (* 7/96 PI))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (+ (log (* PI 7/96)) (log (* f f))) * [exit]simplify: Simplified to (+ (log (* PI 7/96)) (log (* f f))) * * * * [misc]progress: [ 96 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* f f) (* 7/96 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (log (* (* f 7/96) (* PI f))) * [exit]simplify: Simplified to (log (* (* f 7/96) (* PI f))) * * * * [misc]progress: [ 97 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* f f) (* 7/96 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (exp (* (* PI f) (* f 7/96))) * [exit]simplify: Simplified to (exp (* (* PI f) (* f 7/96))) * * * * [misc]progress: [ 98 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* f f) (* f f)) (* f f)) (* (* (* 7/96 PI) (* 7/96 PI)) (* 7/96 PI))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (356 enodes) * [exit]simplify: Simplified to (* (pow (* PI 7/96) 3) (pow (* f f) 3)) * [exit]simplify: Simplified to (* (pow (* PI 7/96) 3) (pow (* f f) 3)) * * * * [misc]progress: [ 99 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* f f) (* 7/96 PI))) (cbrt (* (* f f) (* 7/96 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* f 7/96) (* PI f))) (cbrt (* (* f 7/96) (* PI f)))) * [exit]simplify: Simplified to (* (cbrt (* (* f 7/96) (* PI f))) (cbrt (* (* f 7/96) (* PI f)))) * [enter]simplify: Simplifying (cbrt (* (* f f) (* 7/96 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (cbrt (* (* f 7/96) (* PI f))) * [exit]simplify: Simplified to (cbrt (* (* f 7/96) (* PI f))) * * * * [misc]progress: [ 100 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* f f) (* 7/96 PI)) (* (* f f) (* 7/96 PI))) (* (* f f) (* 7/96 PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (305 enodes) * [exit]simplify: Simplified to (pow (* (* f 7/96) (* PI f)) 3) * [exit]simplify: Simplified to (pow (* (* f 7/96) (* PI f)) 3) * * * * [misc]progress: [ 101 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* f f) (* 7/96 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (sqrt (* (* f 7/96) (* PI f))) * [exit]simplify: Simplified to (sqrt (* (* f 7/96) (* PI f))) * [enter]simplify: Simplifying (sqrt (* (* f f) (* 7/96 PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (sqrt (* (* f 7/96) (* PI f))) * [exit]simplify: Simplified to (sqrt (* (* f 7/96) (* PI f))) * * * * [misc]progress: [ 102 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* f f) 7/96) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (* 7/96 (* f f)) * [exit]simplify: Simplified to (* 7/96 (* f f)) * * * * [misc]progress: [ 104 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* f (* 7/96 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* f PI) 7/96) * [exit]simplify: Simplified to (* (* f PI) 7/96) * * * * [misc]progress: [ 105 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) (* (/ 4 PI) (log PI))) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (- (* (+ (- (log f) (log 4)) (log PI)) (/ 4 PI)) (+ (* (* f PI) (* f 7/96)) (* 3/2 f))) * * * * [misc]progress: [ 107 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) (* (/ 4 PI) (log PI))) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (- (* (+ (- (log f) (log 4)) (log PI)) (/ 4 PI)) (+ (* (* f PI) (* f 7/96)) (* 3/2 f))) * * * * [misc]progress: [ 108 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) (* (/ 4 PI) (log PI))) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (- (* (+ (- (log f) (log 4)) (log PI)) (/ 4 PI)) (+ (* (* f PI) (* f 7/96)) (* 3/2 f))) * * * * [misc]progress: [ 109 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ (+ (log 4) (log f)) PI)) (* (/ 4 PI) (log PI))) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (340 enodes) * [exit]simplify: Simplified to (- (* (/ 4 PI) (+ (+ (log f) (log 4)) (log PI))) (+ (* (* f f) (* 7/96 PI)) (* f 3/2))) * * * * [misc]progress: [ 110 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ (- (log 4) (log (/ 1 f))) PI)) (* (/ 4 PI) (log PI))) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * * [misc]simplify: iters left: 2 (498 enodes) * [exit]simplify: Simplified to (- (* (+ (+ (log f) (log 4)) (log PI)) (/ 4 PI)) (* f (- 3/2 (* (- f) (* PI 7/96))))) * * * * [misc]progress: [ 111 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ (- (+ (log -1) (log 4)) (log (/ -1 f))) PI)) (* (/ 4 PI) (log PI))) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * [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 (295 enodes) * [exit]simplify: Simplified to (+ (- (* (log PI) (/ 4 PI)) (+ (* f 3/2) (* (* 7/96 PI) (* f f)))) (* (/ 4 PI) (+ (+ 0 (log f)) (log 4)))) * * * * [misc]progress: [ 112 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (sqrt (/ 4 PI)) (* 2 (* (+ (log 4) (log f)) (sqrt (/ 1 PI))))) (* (/ 4 PI) (log PI))) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (+ (- (- (* (log PI) (/ 4 PI)) (* 3/2 f)) (* (* f PI) (* f 7/96))) (* (* (+ (log f) (log 4)) 2) (* (sqrt (/ 4 PI)) (sqrt (/ 1 PI))))) * * * * [misc]progress: [ 113 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (sqrt (/ 4 PI)) (* 2 (* (sqrt (/ 1 PI)) (- (log 4) (log (/ 1 f)))))) (* (/ 4 PI) (log PI))) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (377 enodes) * [exit]simplify: Simplified to (- (* (* (sqrt (/ 1 PI)) (sqrt (/ 4 PI))) (* 2 (+ (log 4) (log f)))) (- (+ (* (* f f) (* PI 7/96)) (* f 3/2)) (* (/ 4 PI) (log PI)))) * * * * [misc]progress: [ 114 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (sqrt (/ 4 PI)) (* 2 (* (- (+ (log -1) (log 4)) (log (/ -1 f))) (sqrt (/ 1 PI))))) (* (/ 4 PI) (log PI))) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (+ (- (- (* (log PI) (/ 4 PI)) (* (* f f) (* PI 7/96))) (* f 3/2)) (* (* (+ (- (log 4) (log -1)) (+ (log f) (log -1))) (* 2 (sqrt (/ 4 PI)))) (sqrt (/ 1 PI)))) * * * * [misc]progress: [ 115 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) (* (/ 4 PI) (log PI))) (+ (* 7/96 (* (pow f 2) PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (- (* (/ 4 PI) (- (+ (log PI) (log f)) (log 4))) (+ (* (* f PI) (* 7/96 f)) (* 3/2 f))) * * * * [misc]progress: [ 116 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) (* (/ 4 PI) (log PI))) (+ (* 7/96 (* (pow f 2) PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (- (* (/ 4 PI) (- (+ (log PI) (log f)) (log 4))) (+ (* (* f PI) (* 7/96 f)) (* 3/2 f))) * * * * [misc]progress: [ 117 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) (* (/ 4 PI) (log PI))) (+ (* 7/96 (* (pow f 2) PI)) (* 3/2 f))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (- (* (/ 4 PI) (- (+ (log PI) (log f)) (log 4))) (+ (* (* f PI) (* 7/96 f)) (* 3/2 f))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # # #) * [misc]regimes: searching between -24.261829797850513 and -25.19349908975561 on (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * [misc]regimes: searching between -4.844446875541253e-05 and -0.024022195230114188 on (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 25.19349908975561 and 24.261829797850513 on (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * [misc]regimes: searching between 19.78692791464934 and 19.055196563893276 on (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * [misc]regimes: searching between 392060967.3632893 and 188610870.4118702 on (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 5.3019214158707784e-09 and 2.5506237339835805e-09 on (* (/ PI 4) f) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 11946.04441548103 and 5.434902023036231 on (* (/ PI 4) f) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 6.75061600976492e-09 and 3.247555001847955e-09 on f * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 15210.1761529531 and 6.919932177490866 on f * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between -24.261829777854274 and -25.19349908975561 on (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (/ (- (exp (* (/ PI 4) (+ f f))) (pow (exp (/ PI 4)) (- (+ f f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * [misc]regimes: searching between -4.844446875541253e-05 and -0.024022195230113914 on (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (/ (- (exp (* (/ PI 4) (+ f f))) (pow (exp (/ PI 4)) (- (+ f f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 14 additional inputs, on iter 1 have 2 / 16 * * * * [misc]points: Computing exacts for 14 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 2 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 3 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 4 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 5 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 6 have 11 / 16 * * * * [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 7 have 12 / 16 * * * * [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 8 have 12 / 16 * * * * [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 9 have 13 / 16 * * * * [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 10 have 13 / 16 * * * * [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 11 have 15 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 1 have 3 / 16 * * * * [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 2 have 6 / 16 * * * * [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 3 have 10 / 16 * * * * [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 6 additional inputs, on iter 4 have 10 / 16 * * * * [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 5 have 11 / 16 * * * * [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 6 have 13 / 16 * * * * [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 7 have 13 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 14 additional inputs, on iter 1 have 2 / 16 * * * * [misc]points: Computing exacts for 14 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 12 additional inputs, on iter 2 have 4 / 16 * * * * [misc]points: Computing exacts for 12 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 3 have 7 / 16 * * * * [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 6 additional inputs, on iter 4 have 10 / 16 * * * * [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 4 additional inputs, on iter 5 have 12 / 16 * * * * [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 6 have 13 / 16 * * * * [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 7 have 14 / 16 * * * * [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 8 have 14 / 16 * * * * [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 9 have 14 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 1 have 3 / 16 * * * * [misc]points: Computing exacts for 13 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 2 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 3 have 7 / 16 * * * * [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 7 additional inputs, on iter 4 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 5 have 11 / 16 * * * * [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 6 have 14 / 16 * * * * [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 7 have 14 / 16 * * * * [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 8 have 15 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 2 have 10 / 16 * * * * [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 4 additional inputs, on iter 3 have 14 / 16 * * * * [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 4 have 15 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 15 additional inputs, on iter 1 have 1 / 16 * * * * [misc]points: Computing exacts for 15 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 12 additional inputs, on iter 2 have 4 / 16 * * * * [misc]points: Computing exacts for 12 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 3 have 7 / 16 * * * * [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 7 additional inputs, on iter 4 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 5 have 12 / 16 * * * * [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 6 have 12 / 16 * * * * [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 7 have 12 / 16 * * * * [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 8 have 13 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 2 have 6 / 16 * * * * [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 8 additional inputs, on iter 3 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 4 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 5 have 10 / 16 * * * * [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 4 additional inputs, on iter 6 have 12 / 16 * * * * [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 7 have 12 / 16 * * * * [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 8 have 12 / 16 * * * * [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 9 have 13 / 16 * * * * [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 10 have 14 / 16 * * * * [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 11 have 15 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 1 have 3 / 16 * * * * [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 2 have 6 / 16 * * * * [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 8 additional inputs, on iter 3 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 4 have 10 / 16 * * * * [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 4 additional inputs, on iter 5 have 12 / 16 * * * * [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 6 have 14 / 16 * * * * [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 7 have 15 / 16 * * * * [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 16 points with exact outputs * [misc]regimes: searching between 25.19349908975561 and 24.261829777854274 on (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (/ (- (exp (* (/ PI 4) (+ f f))) (pow (exp (/ PI 4)) (- (+ f f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * [misc]regimes: searching between 19.78692791464934 and 19.055196548188267 on (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (/ (- (exp (* (/ PI 4) (+ f f))) (pow (exp (/ PI 4)) (- (+ f f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * [misc]regimes: searching between 392060967.3632893 and 188610867.4497347 on (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (/ (- (exp (* (/ PI 4) (+ f f))) (pow (exp (/ PI 4)) (- (+ f f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 15 additional inputs, on iter 1 have 1 / 16 * * * * [misc]points: Computing exacts for 15 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 2 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 3 have 7 / 16 * * * * [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 4 have 11 / 16 * * * * [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 5 have 11 / 16 * * * * [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 6 have 12 / 16 * * * * [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 7 have 13 / 16 * * * * [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 8 have 13 / 16 * * * * [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 9 have 14 / 16 * * * * [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 10 have 14 / 16 * * * * [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 11 have 15 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 2 have 7 / 16 * * * * [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 4 additional inputs, on iter 3 have 13 / 16 * * * * [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 4 have 14 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 12 additional inputs, on iter 1 have 4 / 16 * * * * [misc]points: Computing exacts for 12 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 2 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 3 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 4 have 12 / 16 * * * * [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 5 have 12 / 16 * * * * [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 6 have 13 / 16 * * * * [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 7 have 14 / 16 * * * * [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 8 have 15 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 12 additional inputs, on iter 1 have 4 / 16 * * * * [misc]points: Computing exacts for 12 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 2 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 3 have 7 / 16 * * * * [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 6 additional inputs, on iter 4 have 10 / 16 * * * * [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 6 additional inputs, on iter 5 have 10 / 16 * * * * [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 4 additional inputs, on iter 6 have 14 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 14 additional inputs, on iter 1 have 2 / 16 * * * * [misc]points: Computing exacts for 14 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 2 have 6 / 16 * * * * [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 4 additional inputs, on iter 3 have 12 / 16 * * * * [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 4 have 12 / 16 * * * * [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 5 have 13 / 16 * * * * [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 6 have 14 / 16 * * * * [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 7 have 15 / 16 * * * * [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 17 points with exact outputs * [misc]regimes: searching between -902.9690544906852 and -inf.0 on (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/16 (* (pow f 2) (pow PI 2))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/2 (* f PI)))))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 1 have 3 / 16 * * * * [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 2 have 7 / 16 * * * * [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 7 additional inputs, on iter 3 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 7 additional inputs, on iter 4 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 5 have 11 / 16 * * * * [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 6 have 12 / 16 * * * * [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 7 have 14 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 1 have 6 / 16 * * * * [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 7 additional inputs, on iter 2 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 3 have 12 / 16 * * * * [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 4 have 13 / 16 * * * * [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 5 have 13 / 16 * * * * [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 6 have 14 / 16 * * * * [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 7 have 15 / 16 * * * * [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 8 have 15 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 12 additional inputs, on iter 1 have 4 / 16 * * * * [misc]points: Computing exacts for 12 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 2 have 6 / 16 * * * * [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 8 additional inputs, on iter 3 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 4 have 10 / 16 * * * * [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 4 additional inputs, on iter 5 have 12 / 16 * * * * [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 6 have 12 / 16 * * * * [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 7 have 13 / 16 * * * * [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 8 have 14 / 16 * * * * [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 9 have 15 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 2 have 6 / 16 * * * * [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 8 additional inputs, on iter 3 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 4 have 10 / 16 * * * * [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 * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 2 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 12 / 16 * * * * [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 4 have 13 / 16 * * * * [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 5 have 15 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 2 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 3 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 4 have 10 / 16 * * * * [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 4 additional inputs, on iter 5 have 13 / 16 * * * * [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 6 have 14 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 14 additional inputs, on iter 1 have 2 / 16 * * * * [misc]points: Computing exacts for 14 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 2 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 3 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 4 have 6 / 16 * * * * [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 8 additional inputs, on iter 5 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 6 have 10 / 16 * * * * [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 4 additional inputs, on iter 7 have 12 / 16 * * * * [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 8 have 12 / 16 * * * * [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 9 have 12 / 16 * * * * [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 10 have 13 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 1 have 3 / 16 * * * * [misc]points: Computing exacts for 13 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 2 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 3 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 4 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 5 have 6 / 16 * * * * [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 7 additional inputs, on iter 6 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 7 have 12 / 16 * * * * [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 8 have 13 / 16 * * * * [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 9 have 13 / 16 * * * * [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 10 have 14 / 16 * * * * [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 11 have 15 / 16 * * * * [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 12 have 15 / 16 * * * * [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 18 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 2 have 10 / 16 * * * * [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 3 have 11 / 16 * * * * [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 4 have 11 / 16 * * * * [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 5 have 11 / 16 * * * * [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 6 have 11 / 16 * * * * [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 7 have 11 / 16 * * * * [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 8 have 12 / 16 * * * * [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 9 have 13 / 16 * * * * [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 10 have 14 / 16 * * * * [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 11 have 15 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 12 additional inputs, on iter 1 have 4 / 16 * * * * [misc]points: Computing exacts for 12 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 2 have 7 / 16 * * * * [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 7 additional inputs, on iter 3 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 7 additional inputs, on iter 4 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 5 have 10 / 16 * * * * [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 4 additional inputs, on iter 6 have 12 / 16 * * * * [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 7 have 12 / 16 * * * * [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 8 have 15 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 1 have 6 / 16 * * * * [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 2 have 10 / 16 * * * * [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 4 additional inputs, on iter 3 have 13 / 16 * * * * [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 4 have 14 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 2 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 12 / 16 * * * * [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 4 have 12 / 16 * * * * [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 5 have 14 / 16 * * * * [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 6 have 14 / 16 * * * * [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 7 have 14 / 16 * * * * [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 8 have 15 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 14 additional inputs, on iter 1 have 2 / 16 * * * * [misc]points: Computing exacts for 14 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 2 have 6 / 16 * * * * [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 8 additional inputs, on iter 3 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 4 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 7 additional inputs, on iter 5 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 6 have 12 / 16 * * * * [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 7 have 14 / 16 * * * * [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 8 have 15 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 1 have 3 / 16 * * * * [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 2 have 7 / 16 * * * * [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 3 have 11 / 16 * * * * [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 4 have 11 / 16 * * * * [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 5 have 12 / 16 * * * * [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 6 have 13 / 16 * * * * [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 7 have 15 / 16 * * * * [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 8 have 15 / 16 * * * * [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 18 points with exact outputs * [misc]regimes: searching between -24.261829777792304 and -25.193499077276996 on (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/16 (* (pow f 2) (pow PI 2))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/2 (* f PI)))))))) * [misc]regimes: searching between 25.193499077276996 and 24.261829777792304 on (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/16 (* (pow f 2) (pow PI 2))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/2 (* f PI))))))) * [misc]regimes: searching between +inf.0 and 902.9690544906852 on (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/16 (* (pow f 2) (pow PI 2))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/2 (* f PI))))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 1 have 6 / 16 * * * * [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 2 have 10 / 16 * * * * [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 3 have 11 / 16 * * * * [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 4 have 12 / 16 * * * * [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 5 have 14 / 16 * * * * [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 6 have 15 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 12 additional inputs, on iter 1 have 4 / 16 * * * * [misc]points: Computing exacts for 12 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 2 have 6 / 16 * * * * [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 9 additional inputs, on iter 3 have 7 / 16 * * * * [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 4 have 11 / 16 * * * * [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 5 have 12 / 16 * * * * [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 6 have 13 / 16 * * * * [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 7 have 13 / 16 * * * * [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 8 have 13 / 16 * * * * [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 9 have 14 / 16 * * * * [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 10 have 15 / 16 * * * * [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 11 have 15 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 9 additional inputs, on iter 1 have 7 / 16 * * * * [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 7 additional inputs, on iter 2 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 3 have 10 / 16 * * * * [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 4 additional inputs, on iter 4 have 13 / 16 * * * * [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 5 have 15 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 12 additional inputs, on iter 1 have 4 / 16 * * * * [misc]points: Computing exacts for 12 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 2 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 3 have 10 / 16 * * * * [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 4 have 11 / 16 * * * * [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 5 have 13 / 16 * * * * [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 6 have 13 / 16 * * * * [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 7 have 13 / 16 * * * * [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 8 have 15 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 1 have 3 / 16 * * * * [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 2 have 6 / 16 * * * * [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 7 additional inputs, on iter 3 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 4 have 10 / 16 * * * * [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 6 additional inputs, on iter 5 have 10 / 16 * * * * [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 4 additional inputs, on iter 6 have 12 / 16 * * * * [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 7 have 15 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 1 have 3 / 16 * * * * [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 2 have 7 / 16 * * * * [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 6 additional inputs, on iter 3 have 10 / 16 * * * * [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 6 additional inputs, on iter 4 have 10 / 16 * * * * [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 4 additional inputs, on iter 5 have 12 / 16 * * * * [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 6 have 12 / 16 * * * * [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 7 have 14 / 16 * * * * [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 8 have 14 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 12 additional inputs, on iter 1 have 4 / 16 * * * * [misc]points: Computing exacts for 12 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 2 have 6 / 16 * * * * [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 7 additional inputs, on iter 3 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 4 have 11 / 16 * * * * [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 5 have 11 / 16 * * * * [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 6 have 13 / 16 * * * * [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 7 have 14 / 16 * * * * [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 8 have 15 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 14 additional inputs, on iter 1 have 2 / 16 * * * * [misc]points: Computing exacts for 14 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 12 additional inputs, on iter 2 have 4 / 16 * * * * [misc]points: Computing exacts for 12 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 3 have 6 / 16 * * * * [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 7 additional inputs, on iter 4 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 5 have 13 / 16 * * * * [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 6 have 13 / 16 * * * * [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 7 have 14 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 14 additional inputs, on iter 1 have 2 / 16 * * * * [misc]points: Computing exacts for 14 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 12 additional inputs, on iter 2 have 4 / 16 * * * * [misc]points: Computing exacts for 12 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 3 have 7 / 16 * * * * [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 4 have 11 / 16 * * * * [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 5 have 12 / 16 * * * * [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 6 have 12 / 16 * * * * [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 7 have 12 / 16 * * * * [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 8 have 13 / 16 * * * * [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 9 have 14 / 16 * * * * [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 10 have 14 / 16 * * * * [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 11 have 14 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 9 additional inputs, on iter 1 have 7 / 16 * * * * [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 2 have 11 / 16 * * * * [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 3 have 11 / 16 * * * * [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 4 have 11 / 16 * * * * [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 5 have 13 / 16 * * * * [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 6 have 14 / 16 * * * * [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 7 have 14 / 16 * * * * [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 8 have 15 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 1 have 3 / 16 * * * * [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 8 additional inputs, on iter 2 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 13 / 16 * * * * [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 4 have 13 / 16 * * * * [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 5 have 13 / 16 * * * * [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 6 have 14 / 16 * * * * [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 7 have 15 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 2 have 7 / 16 * * * * [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 7 additional inputs, on iter 3 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 7 additional inputs, on iter 4 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 5 have 14 / 16 * * * * [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 6 have 14 / 16 * * * * [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 7 have 14 / 16 * * * * [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 18 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 12 additional inputs, on iter 1 have 4 / 16 * * * * [misc]points: Computing exacts for 12 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 2 have 6 / 16 * * * * [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 7 additional inputs, on iter 3 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 4 have 10 / 16 * * * * [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 5 have 11 / 16 * * * * [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 6 have 14 / 16 * * * * [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 7 have 14 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 2 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 3 have 10 / 16 * * * * [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 4 additional inputs, on iter 4 have 13 / 16 * * * * [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 16 points with exact outputs * [misc]regimes: searching between 19.78692790484866 and 19.055196548139595 on (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/16 (* (pow f 2) (pow PI 2))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/2 (* f PI)))))) * [misc]regimes: searching between +inf.0 and 709.1902370017145 on (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/16 (* (pow f 2) (pow PI 2))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/2 (* f PI)))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 9 additional inputs, on iter 1 have 7 / 16 * * * * [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 9 additional inputs, on iter 2 have 7 / 16 * * * * [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 4 additional inputs, on iter 3 have 12 / 16 * * * * [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 4 have 14 / 16 * * * * [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 5 have 15 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 1 have 6 / 16 * * * * [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 8 additional inputs, on iter 2 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 3 have 10 / 16 * * * * [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 4 additional inputs, on iter 4 have 14 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 2 have 6 / 16 * * * * [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 7 additional inputs, on iter 3 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 4 have 12 / 16 * * * * [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 5 have 13 / 16 * * * * [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 6 have 15 / 16 * * * * [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 18 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 2 have 10 / 16 * * * * [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 3 have 11 / 16 * * * * [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 4 have 12 / 16 * * * * [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 5 have 12 / 16 * * * * [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 6 have 13 / 16 * * * * [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 7 have 14 / 16 * * * * [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 8 have 15 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 14 additional inputs, on iter 1 have 2 / 16 * * * * [misc]points: Computing exacts for 14 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 2 have 7 / 16 * * * * [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 7 additional inputs, on iter 3 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 7 additional inputs, on iter 4 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 7 additional inputs, on iter 5 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 6 have 10 / 16 * * * * [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 4 additional inputs, on iter 7 have 12 / 16 * * * * [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 8 have 12 / 16 * * * * [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 9 have 13 / 16 * * * * [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 10 have 13 / 16 * * * * [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 11 have 14 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 1 have 3 / 16 * * * * [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 2 have 6 / 16 * * * * [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 8 additional inputs, on iter 3 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 4 have 10 / 16 * * * * [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 4 additional inputs, on iter 5 have 12 / 16 * * * * [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 6 have 13 / 16 * * * * [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 7 have 14 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 8 additional inputs, on iter 1 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 2 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 3 have 10 / 16 * * * * [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 6 additional inputs, on iter 4 have 10 / 16 * * * * [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 4 additional inputs, on iter 5 have 12 / 16 * * * * [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 6 have 12 / 16 * * * * [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 7 have 13 / 16 * * * * [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 8 have 13 / 16 * * * * [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 9 have 14 / 16 * * * * [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 18 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 2 have 7 / 16 * * * * [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 9 additional inputs, on iter 3 have 7 / 16 * * * * [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 4 additional inputs, on iter 4 have 13 / 16 * * * * [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 5 have 14 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 1 have 3 / 16 * * * * [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 2 have 7 / 16 * * * * [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 6 additional inputs, on iter 3 have 10 / 16 * * * * [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 6 additional inputs, on iter 4 have 10 / 16 * * * * [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 5 have 11 / 16 * * * * [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 6 have 13 / 16 * * * * [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 7 have 14 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 2 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 12 / 16 * * * * [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 4 have 13 / 16 * * * * [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 5 have 14 / 16 * * * * [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 6 have 14 / 16 * * * * [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 7 have 14 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 1 have 3 / 16 * * * * [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 2 have 7 / 16 * * * * [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 7 additional inputs, on iter 3 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 7 additional inputs, on iter 4 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 5 have 11 / 16 * * * * [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 6 have 11 / 16 * * * * [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 7 have 13 / 16 * * * * [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 8 have 14 / 16 * * * * [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 9 have 15 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 2 have 7 / 16 * * * * [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 3 have 11 / 16 * * * * [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 4 have 11 / 16 * * * * [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 5 have 12 / 16 * * * * [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 6 have 14 / 16 * * * * [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 7 have 14 / 16 * * * * [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 8 have 14 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 2 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 3 have 10 / 16 * * * * [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 4 have 11 / 16 * * * * [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 5 have 11 / 16 * * * * [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 6 have 13 / 16 * * * * [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 7 have 14 / 16 * * * * [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 8 have 15 / 16 * * * * [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 9 have 15 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 14 additional inputs, on iter 1 have 2 / 16 * * * * [misc]points: Computing exacts for 14 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 2 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 3 have 11 / 16 * * * * [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 4 have 13 / 16 * * * * [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 5 have 15 / 16 * * * * [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 17 points with exact outputs * [misc]regimes: searching between 392060963.52082545 and 188610867.4405543 on (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/16 (* (pow f 2) (pow PI 2))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/2 (* f PI))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 1 have 3 / 16 * * * * [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 8 additional inputs, on iter 2 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 3 have 10 / 16 * * * * [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 6 additional inputs, on iter 4 have 10 / 16 * * * * [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 5 have 11 / 16 * * * * [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 6 have 13 / 16 * * * * [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 7 have 14 / 16 * * * * [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 8 have 15 / 16 * * * * [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 9 have 15 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 1 have 3 / 16 * * * * [misc]points: Computing exacts for 13 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 2 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 3 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 12 / 16 * * * * [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 5 have 12 / 16 * * * * [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 6 have 12 / 16 * * * * [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 7 have 13 / 16 * * * * [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 8 have 13 / 16 * * * * [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 9 have 14 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 2 have 10 / 16 * * * * [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 3 have 11 / 16 * * * * [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 4 have 11 / 16 * * * * [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 5 have 15 / 16 * * * * [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 18 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 2 have 6 / 16 * * * * [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 8 additional inputs, on iter 3 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 4 have 11 / 16 * * * * [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 5 have 12 / 16 * * * * [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 6 have 13 / 16 * * * * [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 7 have 15 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 14 additional inputs, on iter 1 have 2 / 16 * * * * [misc]points: Computing exacts for 14 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 2 have 7 / 16 * * * * [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 7 additional inputs, on iter 3 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 4 have 11 / 16 * * * * [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 5 have 11 / 16 * * * * [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 6 have 14 / 16 * * * * [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 16 points with exact outputs * [misc]regimes: searching between +inf.0 and 9.9404615435426e+307 on (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/16 (* (pow f 2) (pow PI 2))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/2 (* f PI))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 8 additional inputs, on iter 1 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 2 have 10 / 16 * * * * [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 4 additional inputs, on iter 3 have 13 / 16 * * * * [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 4 have 13 / 16 * * * * [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 5 have 14 / 16 * * * * [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 6 have 15 / 16 * * * * [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 7 have 15 / 16 * * * * [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 8 have 15 / 16 * * * * [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 18 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 12 additional inputs, on iter 1 have 4 / 16 * * * * [misc]points: Computing exacts for 12 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 7 additional inputs, on iter 2 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 3 have 13 / 16 * * * * [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 4 have 13 / 16 * * * * [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 5 have 15 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 14 additional inputs, on iter 1 have 2 / 16 * * * * [misc]points: Computing exacts for 14 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 2 have 6 / 16 * * * * [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 9 additional inputs, on iter 3 have 7 / 16 * * * * [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 8 additional inputs, on iter 4 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 5 have 10 / 16 * * * * [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 6 additional inputs, on iter 6 have 10 / 16 * * * * [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 4 additional inputs, on iter 7 have 12 / 16 * * * * [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 8 have 12 / 16 * * * * [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 9 have 13 / 16 * * * * [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 10 have 13 / 16 * * * * [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 11 have 13 / 16 * * * * [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 12 have 13 / 16 * * * * [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 13 have 15 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 1 have 3 / 16 * * * * [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 2 have 6 / 16 * * * * [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 10 additional inputs, on iter 3 have 6 / 16 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 4 have 11 / 16 * * * * [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 5 have 12 / 16 * * * * [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 6 have 14 / 16 * * * * [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 7 have 15 / 16 * * * * [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 16 points with exact outputs * [misc]regimes: searching between -902.9690544906852 and -53019056.61224514 on (- (+ (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) (* (/ 4 PI) (log PI))) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 2 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 3 have 13 / 16 * * * * [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 4 have 13 / 16 * * * * [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 5 have 13 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 14 additional inputs, on iter 1 have 2 / 16 * * * * [misc]points: Computing exacts for 14 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 2 have 6 / 16 * * * * [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 7 additional inputs, on iter 3 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 4 have 10 / 16 * * * * [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 4 additional inputs, on iter 5 have 12 / 16 * * * * [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 6 have 13 / 16 * * * * [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 7 have 13 / 16 * * * * [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 8 have 14 / 16 * * * * [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 9 have 15 / 16 * * * * [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 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 2 have 6 / 16 * * * * [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 3 have 10 / 16 * * * * [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 4 additional inputs, on iter 4 have 14 / 16 * * * * [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 5 have 14 / 16 * * * * [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 6 have 15 / 16 * * * * [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 7 have 15 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 15 additional inputs, on iter 1 have 1 / 16 * * * * [misc]points: Computing exacts for 15 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 14 additional inputs, on iter 2 have 2 / 16 * * * * [misc]points: Computing exacts for 14 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 3 have 3 / 16 * * * * [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 4 have 6 / 16 * * * * [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 8 additional inputs, on iter 5 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 6 have 11 / 16 * * * * [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 7 have 12 / 16 * * * * [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 8 have 12 / 16 * * * * [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 9 have 13 / 16 * * * * [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 10 have 14 / 16 * * * * [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 11 have 15 / 16 * * * * [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 18 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 1 have 6 / 16 * * * * [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 8 additional inputs, on iter 2 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 3 have 10 / 16 * * * * [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 4 additional inputs, on iter 4 have 13 / 16 * * * * [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 5 have 14 / 16 * * * * [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 6 have 15 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 1 have 3 / 16 * * * * [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 2 have 6 / 16 * * * * [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 7 additional inputs, on iter 3 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 4 have 11 / 16 * * * * [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 5 have 12 / 16 * * * * [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 6 have 13 / 16 * * * * [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 7 have 14 / 16 * * * * [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 8 have 14 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 12 additional inputs, on iter 1 have 4 / 16 * * * * [misc]points: Computing exacts for 12 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 2 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 3 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 4 have 10 / 16 * * * * [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 5 have 11 / 16 * * * * [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 6 have 13 / 16 * * * * [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 7 have 13 / 16 * * * * [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 8 have 14 / 16 * * * * [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 9 have 15 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 1 have 3 / 16 * * * * [misc]points: Computing exacts for 13 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 2 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 3 have 7 / 16 * * * * [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 9 additional inputs, on iter 4 have 7 / 16 * * * * [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 7 additional inputs, on iter 5 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 6 have 11 / 16 * * * * [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 7 have 13 / 16 * * * * [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 8 have 14 / 16 * * * * [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 9 have 15 / 16 * * * * [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 10 have 15 / 16 * * * * [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 11 have 15 / 16 * * * * [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 16 points with exact outputs * [misc]regimes: searching between -24.261829791293533 and -25.193499083772103 on (- (+ (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (- (log f) (log 4)))) (* (/ 4 PI) (log PI))) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * [misc]regimes: searching between -902.9690544906852 and -53019056.61224514 on (- (cbrt (* (* (- (log f) (log (/ 4 PI))) (pow (/ 4 PI) 3)) (* (- (log f) (log (/ 4 PI))) (- (log f) (log (/ 4 PI)))))) (+ (* (* f f) (* 7/96 PI)) (* 3/2 f))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 12 additional inputs, on iter 1 have 4 / 16 * * * * [misc]points: Computing exacts for 12 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 7 additional inputs, on iter 2 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 3 have 10 / 16 * * * * [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 6 additional inputs, on iter 4 have 10 / 16 * * * * [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 4 additional inputs, on iter 5 have 12 / 16 * * * * [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 6 have 12 / 16 * * * * [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 7 have 14 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 15 additional inputs, on iter 1 have 1 / 16 * * * * [misc]points: Computing exacts for 15 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 2 have 7 / 16 * * * * [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 8 additional inputs, on iter 3 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 4 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 7 additional inputs, on iter 5 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 7 additional inputs, on iter 6 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 7 have 11 / 16 * * * * [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 8 have 11 / 16 * * * * [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 9 have 13 / 16 * * * * [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 10 have 15 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 1 have 6 / 16 * * * * [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 7 additional inputs, on iter 2 have 9 / 16 * * * * [misc]points: Computing exacts for 7 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 3 have 12 / 16 * * * * [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 4 have 12 / 16 * * * * [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 5 have 12 / 16 * * * * [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 6 have 13 / 16 * * * * [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 7 have 14 / 16 * * * * [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 8 have 14 / 16 * * * * [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 9 have 15 / 16 * * * * [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 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [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 14 additional inputs, on iter 1 have 2 / 16 * * * * [misc]points: Computing exacts for 14 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 2 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 3 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 4 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 5 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points