* [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: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 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 128 additional inputs, on iter 1 have 128 / 256 * * * * [misc]points: Computing exacts on every 8 of 128 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 128 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 128 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 128 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 61 additional inputs, on iter 2 have 195 / 256 * * * * [misc]points: Computing exacts on every 3 of 61 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 61 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 30 additional inputs, on iter 3 have 226 / 256 * * * * [misc]points: Computing exacts for 30 points * * * * [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 4 have 241 / 256 * * * * [misc]points: Computing exacts for 15 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 5 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 6 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 * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * [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 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p N) (log N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (log1p N) (log N)) in N * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ 0 (- (log N))) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (- (log N))) into (log N) * [misc]backup-simplify: Simplify (+ (- (log N)) (log N)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (log1p N) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p N) in N * [misc]taylor: Rewrote expression to (log (+ 1 N)) * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (pow N 2))) * [misc]approximate: Taking taylor expansion of (log1p (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 N)) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (log (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) * [misc]approximate: Taking taylor expansion of (log1p (/ 1 (- N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- N))) in N * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- N)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (log -1) (/ 1 N)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (197 enodes) * [exit]simplify: Simplified to (+ (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (+ (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (+ (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (log N)))) * * * * [misc]progress: [ 2 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (log (* (+ 1 N) (/ 1 N))) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (* (+ 1 N) (/ 1 N))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * [exit]simplify: Simplified to (+ (log N) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (log (* (+ 1 N) (/ 1 N))) (+ (log N) (log N)))) * * * * [misc]progress: [ 3 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (+ (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (+ (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * [exit]simplify: Simplified to (+ (log N) (- (log N))) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (+ (log1p N) (log N)) (+ (log N) (- (log N))))) * * * * [misc]progress: [ 4 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (180 enodes) * [exit]simplify: Simplified to (+ (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (+ (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (+ (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (log N)))) * * * * [misc]progress: [ 5 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * [exit]simplify: Simplified to (log (* (+ 1 N) (/ 1 N))) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (* (+ 1 N) (/ 1 N))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * [exit]simplify: Simplified to (+ (log N) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (log (* (+ 1 N) (/ 1 N))) (+ (log N) (log N)))) * * * * [misc]progress: [ 6 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (154 enodes) * [exit]simplify: Simplified to (+ (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (+ (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * [exit]simplify: Simplified to (+ (log N) (- (log N))) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (+ (log1p N) (log N)) (+ (log N) (- (log N))))) * * * * [misc]progress: [ 7 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log1p N) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (+ (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (+ (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (+ (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (log N)))) * * * * [misc]progress: [ 8 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log1p N) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * [exit]simplify: Simplified to (log (* (+ N 1) (/ 1 N))) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (* (+ N 1) (/ 1 N))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * [exit]simplify: Simplified to (+ (log N) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (log (* (+ N 1) (/ 1 N))) (+ (log N) (log N)))) * * * * [misc]progress: [ 9 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log1p N) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * [exit]simplify: Simplified to (+ (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (+ (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * [exit]simplify: Simplified to (+ (log N) (- (log N))) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (+ (log1p N) (log N)) (+ (log N) (- (log N))))) * * * * [misc]progress: [ 10 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p N)) (cbrt (log1p N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * [exit]simplify: Simplified to (pow (log1p N) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1) to (λ (N) (fma (pow (log1p N) (+ 1/3 1/3)) (cbrt (log1p N)) (- (log N)))) * * * * [misc]progress: [ 13 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p N)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (log1p N)) * [misc]simplify: Simplified (2 1) to (λ (N) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) * * * * [misc]progress: [ 14 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 N) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * [exit]simplify: Simplified to (/ (+ N 1) N) * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ N 1) N))) * * * * [misc]progress: [ 16 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (log1p N)) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * [exit]simplify: Simplified to (/ (+ 1 N) N) * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ 1 N) N))) * * * * [misc]progress: [ 17 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (log1p N)) (sqrt (log N))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * [exit]simplify: Simplified to (+ (sqrt (log N)) (sqrt (log1p N))) * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (sqrt (log N)) (sqrt (log1p N))) (- (sqrt (log1p N)) (sqrt (log N))))) * [enter]simplify: Simplifying (- (sqrt (log1p N)) (sqrt (log N))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * [exit]simplify: Simplified to (- (sqrt (log1p N)) (sqrt (log N))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (+ (sqrt (log1p N)) (sqrt (log N))) (- (sqrt (log1p N)) (sqrt (log N))))) * * * * [misc]progress: [ 28 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log1p N) (log N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (log1p N) (log N)))) * * * * [misc]progress: [ 29 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 45 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (- N (fma (* N N) 1/2 (log N))) * [misc]simplify: Simplified (2) to (λ (N) (- N (fma (* N N) 1/2 (log N)))) * * * * [misc]progress: [ 41 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (345 enodes) * [exit]simplify: Simplified to (fma (/ (sqrt 1/3) (* (sqrt N) N)) (/ (sqrt 1/3) (* (sqrt N) N)) (- (/ 1 N) (/ 1/2 (* N N)))) * [misc]simplify: Simplified (2) to (λ (N) (fma (/ (sqrt 1/3) (* (sqrt N) N)) (/ (sqrt 1/3) (* (sqrt N) N)) (- (/ 1 N) (/ 1/2 (* N N))))) * * * * [misc]progress: [ 42 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (345 enodes) * [exit]simplify: Simplified to (fma (/ (sqrt 1/3) (* (sqrt N) N)) (/ (sqrt 1/3) (* (sqrt N) N)) (- (/ 1 N) (/ 1/2 (* N N)))) * [misc]simplify: Simplified (2) to (λ (N) (fma (/ (sqrt 1/3) (* (sqrt N) N)) (/ (sqrt 1/3) (* (sqrt N) N)) (- (/ 1 N) (/ 1/2 (* N N))))) * * * * [misc]progress: [ 43 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (pow N 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (- (fma (pow N 3) 1/3 N) (* (* 1/2 N) N)) * [misc]simplify: Simplified (2 1) to (λ (N) (- (- (fma (pow N 3) 1/3 N) (* (* 1/2 N) N)) (log N))) * * * * [misc]progress: [ 44 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 N) (+ (log (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (- (/ 1 N) (- (/ (/ 1/2 N) N) (log N))) * [misc]simplify: Simplified (2 1) to (λ (N) (- (- (/ 1 N) (- (/ (/ 1/2 N) N) (log N))) (log N))) * * * * [misc]progress: [ 45 / 45 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log -1) (/ 1 N)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (345 enodes) * [exit]simplify: Simplified to (- (+ (log -1) (/ 1 N)) (+ (log (/ -1 N)) (/ 1/2 (* N N)))) * [misc]simplify: Simplified (2 1) to (λ (N) (- (- (+ (log -1) (/ 1 N)) (+ (log (/ -1 N)) (/ 1/2 (* N N)))) (log N))) * * * [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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N * [misc]taylor: Taking taylor expansion of (pow N 2) in N * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N * [misc]taylor: Taking taylor expansion of (pow N 2) in N * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow (/ 1 N) 3))) (/ 1 (/ 1 N))) (* 1/2 (/ 1 (pow (/ 1 N) 2)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow (/ 1 N) 3))) (/ 1 (/ 1 N))) (* 1/2 (/ 1 (pow (/ 1 N) 2)))) in N * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow (/ 1 N) 3))) (/ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 (pow (/ 1 N) 3))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (/ 1 (pow N -3)) into (pow N 3) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow (/ 1 N) 2))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 N) 2)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 2) in N * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 2 in N * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 2 (- (log N))) into (* -2 (log N)) * [misc]backup-simplify: Simplify (exp (* -2 (log N))) into (pow N -2) * [misc]backup-simplify: Simplify (/ 1 (pow N -2)) into (pow N 2) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow (/ 1 N) 3))) (/ 1 (/ 1 N))) (* 1/2 (/ 1 (pow (/ 1 N) 2)))) in N * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow (/ 1 N) 3))) (/ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 (pow (/ 1 N) 3))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (/ 1 (pow N -3)) into (pow N 3) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow (/ 1 N) 2))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 N) 2)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 2) in N * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 2 in N * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 2 (- (log N))) into (* -2 (log N)) * [misc]backup-simplify: Simplify (exp (* -2 (log N))) into (pow N -2) * [misc]backup-simplify: Simplify (/ 1 (pow N -2)) into (pow N 2) * [misc]backup-simplify: Simplify (* 1/3 (pow N 3)) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) 0) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (* 1/2 (pow N 2)) into (* 1/2 (pow N 2)) * [misc]backup-simplify: Simplify (- (* 1/2 (pow N 2))) into (- (* 1/2 (pow N 2))) * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (- (* 1/2 (pow N 2)))) into (- (* 1/3 (pow N 3)) (* 1/2 (pow N 2))) * [misc]backup-simplify: Simplify (- (* 1/3 (pow N 3)) (* 1/2 (pow N 2))) into (- (* 1/3 (pow N 3)) (* 1/2 (pow N 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 3) (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow N 3))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 2) (/ 0 (pow N -2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (pow N 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 3) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow N 3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 2) (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (pow N 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 3) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N 3))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 2) (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 3) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N 3)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 2) (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 3) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N 3))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 2) (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N 2))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 3) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N 3)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 2) (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N 2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow 1 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow 1 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow 1 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow 1 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow 1 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow 1 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow 1 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow 1 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow 1 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow 1 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow 1 1)))) 5040) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 7) 5040)) (* (/ (pow 0 5) 120) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 2) 2)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 3) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N 3))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow 1 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow 1 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow 1 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow 1 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow 1 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow 1 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow 1 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow 1 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow 1 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow 1 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow 1 1)))) 5040) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log N))) (+ (* (/ (pow 0 7) 5040)) (* (/ (pow 0 5) 120) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 2) 2)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 2) (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N 2))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 N)) (- (* 1/3 (pow (/ 1 N) 3)) (* 1/2 (pow (/ 1 N) 2)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow (/ 1 (- N)) 3))) (/ 1 (/ 1 (- N)))) (* 1/2 (/ 1 (pow (/ 1 (- N)) 2)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow (/ 1 (- N)) 3))) (/ 1 (/ 1 (- N)))) (* 1/2 (/ 1 (pow (/ 1 (- N)) 2)))) in N * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow (/ 1 (- N)) 3))) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 (pow (/ 1 (- N)) 3))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 3 (- (log -1) (log N))))) into (/ 1 (exp (* 3 (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow (/ 1 (- N)) 2))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 (- N)) 2)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 2) in N * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 2 in N * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log N))) into (* 2 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log N)))) into (exp (* 2 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 2 (- (log -1) (log N))))) into (/ 1 (exp (* 2 (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow (/ 1 (- N)) 3))) (/ 1 (/ 1 (- N)))) (* 1/2 (/ 1 (pow (/ 1 (- N)) 2)))) in N * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow (/ 1 (- N)) 3))) (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 (pow (/ 1 (- N)) 3))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 3 (- (log -1) (log N))))) into (/ 1 (exp (* 3 (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow (/ 1 (- N)) 2))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 (- N)) 2)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 2) in N * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 2 in N * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log N))) into (* 2 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log N)))) into (exp (* 2 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 2 (- (log -1) (log N))))) into (/ 1 (exp (* 2 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 0) into (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (exp (* 2 (- (log -1) (log N)))))) into (/ 1/2 (exp (* 2 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- (/ 1/2 (exp (* 2 (- (log -1) (log N)))))) into (- (* 1/2 (/ 1 (exp (* 2 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) (- (* 1/2 (/ 1 (exp (* 2 (- (log -1) (log N)))))))) into (- (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) (* 1/2 (/ 1 (exp (* 2 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (- (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) (* 1/2 (/ 1 (exp (* 2 (- (log -1) (log N))))))) into (- (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) (* 1/2 (/ 1 (exp (* 2 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (/ 1 (exp (* 3 (- (log -1) (log N))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 2 (- (log -1) (log N))))) (/ 0 (exp (* 2 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (exp (* 2 (- (log -1) (log N))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (/ 1 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 2 (- (log -1) (log N))))) (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (exp (* 2 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (exp (* 3 (- (log -1) (log N))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log N)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 2 (- (log -1) (log N))))) (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (exp (* 2 (- (log -1) (log N))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (exp (* 3 (- (log -1) (log N)))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log N)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 2 (- (log -1) (log N))))) (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (exp (* 2 (- (log -1) (log N)))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (exp (* 3 (- (log -1) (log N))))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log N)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 2 (- (log -1) (log N))))) (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (exp (* 2 (- (log -1) (log N))))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (exp (* 3 (- (log -1) (log N)))))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log N)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 2 (- (log -1) (log N))))) (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (exp (* 2 (- (log -1) (log N)))))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow -1 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow -1 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow -1 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow -1 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow -1 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow -1 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow -1 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow -1 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow -1 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow -1 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow -1 1)))) 5040) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 7) 5040)) (* (/ (pow 0 5) 120) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 2) 2)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (exp (* 3 (- (log -1) (log N))))))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow -1 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow -1 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow -1 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow -1 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow -1 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow -1 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow -1 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow -1 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow -1 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow -1 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow -1 1)))) 5040) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log N)))) (+ (* (/ (pow 0 7) 5040)) (* (/ (pow 0 5) 120) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 2) 2)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 2 (- (log -1) (log N))))) (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (exp (* 2 (- (log -1) (log N))))))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (- N))) (- (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log (/ 1 (- N)))))))) (* 1/2 (/ 1 (exp (* 2 (- (log -1) (log (/ 1 (- N)))))))))) into (- (+ (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log (/ -1 N))))))) (/ 1 N)) (* 1/2 (/ 1 (exp (* 2 (- (log -1) (log (/ -1 N)))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N * [misc]taylor: Taking taylor expansion of (pow N 2) in N * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N * [misc]taylor: Taking taylor expansion of (pow N 2) in N * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) * [misc]approximate: Taking taylor expansion of (/ 1 (pow (/ 1 N) 2)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 N) 2)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 2) in N * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 2 in N * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 2 (- (log N))) into (* -2 (log N)) * [misc]backup-simplify: Simplify (exp (* -2 (log N))) into (pow N -2) * [misc]backup-simplify: Simplify (/ 1 (pow N -2)) into (pow N 2) * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 N) 2)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 2) in N * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 2 in N * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 2 (- (log N))) into (* -2 (log N)) * [misc]backup-simplify: Simplify (exp (* -2 (log N))) into (pow N -2) * [misc]backup-simplify: Simplify (/ 1 (pow N -2)) into (pow N 2) * [misc]backup-simplify: Simplify (pow N 2) into (pow N 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 2) (/ 0 (pow N -2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 2) (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 2) (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 2) (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 2) (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 2) (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))) (* 0 (/ 0 (pow N -2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 N) 2) into (pow (/ 1 N) 2) * [misc]approximate: Taking taylor expansion of (/ 1 (pow (/ 1 (- N)) 2)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 (- N)) 2)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 2) in N * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 2 in N * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log N))) into (* 2 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log N)))) into (exp (* 2 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 2 (- (log -1) (log N))))) into (/ 1 (exp (* 2 (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 (- N)) 2)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 2) in N * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 2 in N * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log N))) into (* 2 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log N)))) into (exp (* 2 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 2 (- (log -1) (log N))))) into (/ 1 (exp (* 2 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 2 (- (log -1) (log N))))) into (/ 1 (exp (* 2 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 2 (- (log -1) (log N))))) (/ 0 (exp (* 2 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 2 (- (log -1) (log N))))) (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log N)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 2 (- (log -1) (log N))))) (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log N)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 2 (- (log -1) (log N))))) (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log N)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 2 (- (log -1) (log N))))) (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log N)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 2 (- (log -1) (log N))))) (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 2 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (exp (* 2 (- (log -1) (log (/ 1 (- N))))))) into (/ 1 (exp (* 2 (- (log -1) (log (/ -1 N)))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (/ 1 (pow N 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (/ 1 N) 3)) into (/ 1 (pow N 3)) * [misc]approximate: Taking taylor expansion of (/ 1 (pow (/ 1 N) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (/ 1 (pow N -3)) into (pow N 3) * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (/ 1 (pow N -3)) into (pow N 3) * [misc]backup-simplify: Simplify (pow N 3) into (pow N 3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 3) (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 3) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 3) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 3) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 3) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 3) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 N) 3) into (pow (/ 1 N) 3) * [misc]approximate: Taking taylor expansion of (/ 1 (pow (/ 1 (- N)) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 3 (- (log -1) (log N))))) into (/ 1 (exp (* 3 (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 3 (- (log -1) (log N))))) into (/ 1 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 3 (- (log -1) (log N))))) into (/ 1 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (exp (* 3 (- (log -1) (log (/ 1 (- N))))))) into (/ 1 (exp (* 3 (- (log -1) (log (/ -1 N)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) * [misc]approximate: Taking taylor expansion of (* 1/3 (/ 1 (pow (/ 1 N) 3))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 (pow (/ 1 N) 3))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (/ 1 (pow N -3)) into (pow N 3) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 (pow (/ 1 N) 3))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (/ 1 (pow N -3)) into (pow N 3) * [misc]backup-simplify: Simplify (* 1/3 (pow N 3)) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (* 1/3 (pow N 3)) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 3) (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow N 3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 3) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow N 3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 3) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N 3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 3) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N 3)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 3) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N 3))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 3) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N 3)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) * [misc]approximate: Taking taylor expansion of (* 1/3 (/ 1 (pow (/ 1 (- N)) 3))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 (pow (/ 1 (- N)) 3))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 3 (- (log -1) (log N))))) into (/ 1 (exp (* 3 (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 (pow (/ 1 (- N)) 3))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 3 (- (log -1) (log N))))) into (/ 1 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log N))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (/ 1 (exp (* 3 (- (log -1) (log N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (/ 1 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (exp (* 3 (- (log -1) (log N))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (exp (* 3 (- (log -1) (log N)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (exp (* 3 (- (log -1) (log N))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (exp (* 3 (- (log -1) (log N)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log (/ 1 (- N))))))) into (/ 1/3 (exp (* 3 (- (log -1) (log (/ -1 N)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N))) (cbrt (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)))) (cbrt (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N))) (- (* (/ 1 (pow N 2)) 1/2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (391 enodes) * [exit]simplify: Simplified to (+ (+ (/ 1 N) (/ 1/3 (pow N 3))) (/ (/ 1/2 N) N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (+ (+ (/ 1 N) (/ 1/3 (pow N 3))) (/ (/ 1/2 N) N)) (fma (- (/ 1 (pow N 2))) 1/2 (* (/ 1 (pow N 2)) 1/2)))) * [enter]simplify: Simplifying (fma (- (/ 1 (pow N 2))) 1/2 (* (/ 1 (pow N 2)) 1/2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (+ (+ (/ 1 N) (/ 1/3 (pow N 3))) (/ (/ 1/2 N) N)) (+ (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)))) * * * * [misc]progress: [ 2 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N))) (sqrt (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N))) (- (* (/ 1 (pow N 2)) 1/2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (373 enodes) * [exit]simplify: Simplified to (+ (+ (/ 1/3 (pow N 3)) (/ 1 N)) (/ 1/2 (* N N))) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (+ (+ (/ 1/3 (pow N 3)) (/ 1 N)) (/ 1/2 (* N N))) (fma (- (/ 1 (pow N 2))) 1/2 (* (/ 1 (pow N 2)) 1/2)))) * [enter]simplify: Simplifying (fma (- (/ 1 (pow N 2))) 1/2 (* (/ 1 (pow N 2)) 1/2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (+ (+ (/ 1/3 (pow N 3)) (/ 1 N)) (/ 1/2 (* N N))) (+ (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)))) * * * * [misc]progress: [ 3 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (- (* (/ 1 (pow N 2)) 1/2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (355 enodes) * [exit]simplify: Simplified to (+ (+ (/ 1 N) (/ 1/3 (pow N 3))) (/ 1/2 (* N N))) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (+ (+ (/ 1 N) (/ 1/3 (pow N 3))) (/ 1/2 (* N N))) (fma (- (/ 1 (pow N 2))) 1/2 (* (/ 1 (pow N 2)) 1/2)))) * [enter]simplify: Simplifying (fma (- (/ 1 (pow N 2))) 1/2 (* (/ 1 (pow N 2)) 1/2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (+ (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (+ (+ (/ 1 N) (/ 1/3 (pow N 3))) (/ 1/2 (* N N))) (+ (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)))) * * * * [misc]progress: [ 4 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N))) (cbrt (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (pow (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1) to (λ (N) (fma (pow (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (+ 1/3 1/3)) (cbrt (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N))) (- (* 1/2 (/ 1 (pow N 2)))))) * * * * [misc]progress: [ 7 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ 1/3 (pow N 3)) (/ 1 N))) * [misc]simplify: Simplified (2 1) to (λ (N) (fma (sqrt (+ (/ 1/3 (pow N 3)) (/ 1 N))) (sqrt (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N))) (- (* 1/2 (/ 1 (pow N 2)))))) * * * * [misc]progress: [ 8 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (exp (* 1/3 (/ 1 (pow N 3)))) (exp (/ 1 N))) (exp (* 1/2 (/ 1 (pow N 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (384 enodes) * [exit]simplify: Simplified to (exp (- (+ (/ 1 N) (/ 1/3 (pow N 3))) (/ (/ 1/2 N) N))) * [misc]simplify: Simplified (2 1) to (λ (N) (log (exp (- (+ (/ 1 N) (/ 1/3 (pow N 3))) (/ (/ 1/2 N) N))))) * * * * [misc]progress: [ 10 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N))) (exp (* 1/2 (/ 1 (pow N 2))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (376 enodes) * [exit]simplify: Simplified to (exp (- (+ (/ 1/3 (pow N 3)) (/ 1 N)) (/ (/ 1/2 N) N))) * [misc]simplify: Simplified (2 1) to (λ (N) (log (exp (- (+ (/ 1/3 (pow N 3)) (/ 1 N)) (/ (/ 1/2 N) N))))) * * * * [misc]progress: [ 11 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ (* 1/3 N) (* (pow N 3) 1)) (pow N 2)) (* (* (pow N 3) N) 1/2)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (328 enodes) * [exit]simplify: Simplified to (fma (fma N (* N N) (* N 1/3)) (* N N) (* (- 1/2) (* (* N N) (* N N)))) * [misc]simplify: Simplified (2 1) to (λ (N) (/ (fma (fma N (* N N) (* N 1/3)) (* N N) (* (- 1/2) (* (* N N) (* N N)))) (* (* (pow N 3) N) (pow N 2)))) * [enter]simplify: Simplifying (* (* (pow N 3) N) (pow N 2)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * [exit]simplify: Simplified to (pow N (+ 3 3)) * [misc]simplify: Simplified (2 2) to (λ (N) (/ (- (* (+ (* 1/3 N) (* (pow N 3) 1)) (pow N 2)) (* (* (pow N 3) N) 1/2)) (pow N (+ 3 3)))) * * * * [misc]progress: [ 18 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ (* 1/3 N) (* (pow N 3) 1)) (pow N 2)) (* (* (pow N 3) N) (* 1/2 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (348 enodes) * [exit]simplify: Simplified to (fma (* N N) (fma N (* N N) (* N 1/3)) (* (- 1/2) (* (* N N) (* N N)))) * [misc]simplify: Simplified (2 1) to (λ (N) (/ (fma (* N N) (fma N (* N N) (* N 1/3)) (* (- 1/2) (* (* N N) (* N N)))) (* (* (pow N 3) N) (pow N 2)))) * [enter]simplify: Simplifying (* (* (pow N 3) N) (pow N 2)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * [exit]simplify: Simplified to (pow N (+ 3 3)) * [misc]simplify: Simplified (2 2) to (λ (N) (/ (fma (* N N) (fma N (* N N) (* N 1/3)) (* (- 1/2) (* (* N N) (* N N)))) (pow N (+ 3 3)))) * * * * [misc]progress: [ 19 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ (* (* 1/3 1) N) (* (pow N 3) 1)) (pow N 2)) (* (* (pow N 3) N) 1/2)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (347 enodes) * [exit]simplify: Simplified to (fma (* N N) (fma (* N N) N (* N 1/3)) (* (- 1/2) (* (* N N) (* N N)))) * [misc]simplify: Simplified (2 1) to (λ (N) (/ (fma (* N N) (fma (* N N) N (* N 1/3)) (* (- 1/2) (* (* N N) (* N N)))) (* (* (pow N 3) N) (pow N 2)))) * [enter]simplify: Simplifying (* (* (pow N 3) N) (pow N 2)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * [exit]simplify: Simplified to (pow N (+ 3 3)) * [misc]simplify: Simplified (2 2) to (λ (N) (/ (fma (* N N) (fma (* N N) N (* N 1/3)) (* (- 1/2) (* (* N N) (* N N)))) (pow N (+ 3 3)))) * * * * [misc]progress: [ 20 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ (* (* 1/3 1) N) (* (pow N 3) 1)) (pow N 2)) (* (* (pow N 3) N) (* 1/2 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (367 enodes) * [exit]simplify: Simplified to (fma (fma (* N N) N (* N 1/3)) (* N N) (* (- 1/2) (* (* N N) (* N N)))) * [misc]simplify: Simplified (2 1) to (λ (N) (/ (fma (fma (* N N) N (* N 1/3)) (* N N) (* (- 1/2) (* (* N N) (* N N)))) (* (* (pow N 3) N) (pow N 2)))) * [enter]simplify: Simplifying (* (* (pow N 3) N) (pow N 2)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * [exit]simplify: Simplified to (pow N (+ 3 3)) * [misc]simplify: Simplified (2 2) to (λ (N) (/ (fma (fma (* N N) N (* N 1/3)) (* N N) (* (- 1/2) (* (* N N) (* N N)))) (pow N (+ 3 3)))) * * * * [misc]progress: [ 21 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ (pow (* 1/3 (/ 1 (pow N 3))) 3) (pow (/ 1 N) 3)) (pow N 2)) (* (+ (* (* 1/3 (/ 1 (pow N 3))) (* 1/3 (/ 1 (pow N 3)))) (- (* (/ 1 N) (/ 1 N)) (* (* 1/3 (/ 1 (pow N 3))) (/ 1 N)))) 1/2)) * * [misc]simplify: iters left: 6 (22 enodes) * [exit]simplify: Simplified to (- (* (* N N) (+ (pow (/ 1 N) 3) (pow (/ 1/3 (pow N 3)) 3))) (* 1/2 (fma (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) (* (/ 1 N) (- (/ 1 N) (/ 1/3 (pow N 3))))))) * [misc]simplify: Simplified (2 1) to (λ (N) (/ (- (* (* N N) (+ (pow (/ 1 N) 3) (pow (/ 1/3 (pow N 3)) 3))) (* 1/2 (fma (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) (* (/ 1 N) (- (/ 1 N) (/ 1/3 (pow N 3))))))) (* (+ (* (* 1/3 (/ 1 (pow N 3))) (* 1/3 (/ 1 (pow N 3)))) (- (* (/ 1 N) (/ 1 N)) (* (* 1/3 (/ 1 (pow N 3))) (/ 1 N)))) (pow N 2)))) * [enter]simplify: Simplifying (* (+ (* (* 1/3 (/ 1 (pow N 3))) (* 1/3 (/ 1 (pow N 3)))) (- (* (/ 1 N) (/ 1 N)) (* (* 1/3 (/ 1 (pow N 3))) (/ 1 N)))) (pow N 2)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (376 enodes) * [exit]simplify: Simplified to (* (* N N) (fma (/ 1 N) (- (/ 1 N) (/ 1/3 (pow N 3))) (* (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3))))) * [misc]simplify: Simplified (2 2) to (λ (N) (/ (- (* (* N N) (+ (pow (/ 1 N) 3) (pow (/ 1/3 (pow N 3)) 3))) (* 1/2 (fma (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) (* (/ 1 N) (- (/ 1 N) (/ 1/3 (pow N 3))))))) (* (* N N) (fma (/ 1 N) (- (/ 1 N) (/ 1/3 (pow N 3))) (* (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3))))))) * * * * [misc]progress: [ 22 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ (pow (* 1/3 (/ 1 (pow N 3))) 3) (pow (/ 1 N) 3)) (pow N 2)) (* (+ (* (* 1/3 (/ 1 (pow N 3))) (* 1/3 (/ 1 (pow N 3)))) (- (* (/ 1 N) (/ 1 N)) (* (* 1/3 (/ 1 (pow N 3))) (/ 1 N)))) (* 1/2 1))) * * [misc]simplify: iters left: 6 (23 enodes) * [exit]simplify: Simplified to (- (* (* N N) (+ (pow (/ 1 N) 3) (pow (/ 1/3 (pow N 3)) 3))) (* 1/2 (fma (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) (* (/ 1 N) (- (/ 1 N) (/ 1/3 (pow N 3))))))) * [misc]simplify: Simplified (2 1) to (λ (N) (/ (- (* (* N N) (+ (pow (/ 1 N) 3) (pow (/ 1/3 (pow N 3)) 3))) (* 1/2 (fma (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) (* (/ 1 N) (- (/ 1 N) (/ 1/3 (pow N 3))))))) (* (+ (* (* 1/3 (/ 1 (pow N 3))) (* 1/3 (/ 1 (pow N 3)))) (- (* (/ 1 N) (/ 1 N)) (* (* 1/3 (/ 1 (pow N 3))) (/ 1 N)))) (pow N 2)))) * [enter]simplify: Simplifying (* (+ (* (* 1/3 (/ 1 (pow N 3))) (* 1/3 (/ 1 (pow N 3)))) (- (* (/ 1 N) (/ 1 N)) (* (* 1/3 (/ 1 (pow N 3))) (/ 1 N)))) (pow N 2)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (376 enodes) * [exit]simplify: Simplified to (* (* N N) (fma (/ 1 N) (- (/ 1 N) (/ 1/3 (pow N 3))) (* (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3))))) * [misc]simplify: Simplified (2 2) to (λ (N) (/ (- (* (* N N) (+ (pow (/ 1 N) 3) (pow (/ 1/3 (pow N 3)) 3))) (* 1/2 (fma (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3)) (* (/ 1 N) (- (/ 1 N) (/ 1/3 (pow N 3))))))) (* (* N N) (fma (/ 1 N) (- (/ 1 N) (/ 1/3 (pow N 3))) (* (/ 1/3 (pow N 3)) (/ 1/3 (pow N 3))))))) * * * * [misc]progress: [ 23 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (- (* (* 1/3 (/ 1 (pow N 3))) (* 1/3 (/ 1 (pow N 3)))) (* (/ 1 N) (/ 1 N))) (pow N 2)) (* (- (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) 1/2)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (421 enodes) * [exit]simplify: Simplified to (fma (fma (* (/ (/ 1 N) (* N N)) (* 1/3 1/3)) (/ (/ 1 N) (* N N)) (- (* (/ 1 N) (/ 1 N)))) (* N N) (* (fma 1/3 (/ (/ 1 N) (* N N)) (/ (- 1) N)) (- 1/2))) * [misc]simplify: Simplified (2 1) to (λ (N) (/ (fma (fma (* (/ (/ 1 N) (* N N)) (* 1/3 1/3)) (/ (/ 1 N) (* N N)) (- (* (/ 1 N) (/ 1 N)))) (* N N) (* (fma 1/3 (/ (/ 1 N) (* N N)) (/ (- 1) N)) (- 1/2))) (* (- (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (pow N 2)))) * [enter]simplify: Simplifying (* (- (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (pow N 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (* (* N N) (- (/ 1/3 (pow N 3)) (/ 1 N))) * [misc]simplify: Simplified (2 2) to (λ (N) (/ (- (* (- (* (* 1/3 (/ 1 (pow N 3))) (* 1/3 (/ 1 (pow N 3)))) (* (/ 1 N) (/ 1 N))) (pow N 2)) (* (- (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) 1/2)) (* (* N N) (- (/ 1/3 (pow N 3)) (/ 1 N))))) * * * * [misc]progress: [ 24 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (- (* (* 1/3 (/ 1 (pow N 3))) (* 1/3 (/ 1 (pow N 3)))) (* (/ 1 N) (/ 1 N))) (pow N 2)) (* (- (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (441 enodes) * [exit]simplify: Simplified to (fma (* N N) (* (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (fma 1/3 (/ (/ 1 N) (* N N)) (- (/ 1 N)))) (* (- 1/2) (fma 1/3 (/ (/ 1 N) (* N N)) (- (/ 1 N))))) * [misc]simplify: Simplified (2 1) to (λ (N) (/ (fma (* N N) (* (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)) (fma 1/3 (/ (/ 1 N) (* N N)) (- (/ 1 N)))) (* (- 1/2) (fma 1/3 (/ (/ 1 N) (* N N)) (- (/ 1 N))))) (* (- (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (pow N 2)))) * [enter]simplify: Simplifying (* (- (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (pow N 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (265 enodes) * [exit]simplify: Simplified to (* (* N N) (- (/ 1/3 (pow N 3)) (/ 1 N))) * [misc]simplify: Simplified (2 2) to (λ (N) (/ (- (* (- (* (* 1/3 (/ 1 (pow N 3))) (* 1/3 (/ 1 (pow N 3)))) (* (/ 1 N) (/ 1 N))) (pow N 2)) (* (- (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 1))) (* (* N N) (- (/ 1/3 (pow N 3)) (/ 1 N))))) * * * * [misc]progress: [ 25 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/3 (/ 1 (pow N 3))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * [exit]simplify: Simplified to (/ (/ 1/3 N) (* N N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (/ (/ 1/3 N) (* N N)) (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))))) * * * * [misc]progress: [ 30 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- 2) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (- 2) * [misc]simplify: Simplified (2 2 2 2) to (λ (N) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (pow N (- 2))))) * * * * [misc]progress: [ 35 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow N 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (cbrt (* N N)) * [misc]simplify: Simplified (2 2 2 2) to (λ (N) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (cbrt (* N N)))))) * * * * [misc]progress: [ 49 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow N 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to N * [misc]simplify: Simplified (2 2 2 2) to (λ (N) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ (/ 1 (sqrt (pow N 2))) N)))) * * * * [misc]progress: [ 50 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (pow N 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (* N N) * [misc]simplify: Simplified (2 2 2 2) to (λ (N) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ (/ 1 1) (* N N))))) * * * * [misc]progress: [ 51 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- 3) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (- 3) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (N) (- (+ (* 1/3 (pow N (- 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) * * * * [misc]progress: [ 55 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow N 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to N * [misc]simplify: Simplified (2 1 1 2 2) to (λ (N) (- (+ (* 1/3 (/ (/ 1 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) N)) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) * * * * [misc]progress: [ 69 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* N N) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* N N) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (N) (- (+ (* 1/3 (/ (/ 1 N) (* N N))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) * * * * [misc]progress: [ 70 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow N 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (sqrt (pow N 3)) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (N) (- (+ (* 1/3 (/ (/ 1 (sqrt (pow N 3))) (sqrt (pow N 3)))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) * * * * [misc]progress: [ 71 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (pow N 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (pow N 3) * [misc]simplify: Simplified (2 1 1 2 2) to (λ (N) (- (+ (* 1/3 (/ (/ 1 1) (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) * * * * [misc]progress: [ 72 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (pow N 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (pow N 3) * [misc]simplify: Simplified (2 1 1 2) to (λ (N) (- (+ (/ 1/3 (pow N 3)) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) * * * * [misc]progress: [ 82 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (pow N 3))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * [exit]simplify: Simplified to (/ 1 N) * [misc]simplify: Simplified (2 1 1 2) to (λ (N) (- (+ (* (* 1/3 (* (cbrt (/ 1 (pow N 3))) (cbrt (/ 1 (pow N 3))))) (/ 1 N)) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) * * * * [misc]progress: [ 83 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (pow N 3))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * [exit]simplify: Simplified to (pow (pow N 3) (* -1 1/2)) * [misc]simplify: Simplified (2 1 1 2) to (λ (N) (- (+ (* (* 1/3 (sqrt (/ 1 (pow N 3)))) (pow (pow N 3) (* -1 1/2))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) * * * * [misc]progress: [ 84 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (pow N 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * [exit]simplify: Simplified to (/ (/ 1 N) (* N N)) * [misc]simplify: Simplified (2 1 1 2) to (λ (N) (- (+ (* (* 1/3 1) (/ (/ 1 N) (* N N))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) * * * * [misc]progress: [ 85 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (pow N 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * [exit]simplify: Simplified to (/ (/ 1 N) (* N N)) * [misc]simplify: Simplified (2 1 1 2) to (λ (N) (- (+ (* (* 1/3 1) (/ (/ 1 N) (* N N))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) * * * * [misc]progress: [ 86 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (pow N 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (pow N 3) * [misc]simplify: Simplified (2 1 1 2) to (λ (N) (- (+ (/ (* 1/3 1) (pow N 3)) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) * * * * [misc]progress: [ 87 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (345 enodes) * [exit]simplify: Simplified to (fma (/ (sqrt 1/3) (* (sqrt N) N)) (/ (sqrt 1/3) (* (sqrt N) N)) (- (/ 1 N) (/ 1/2 (* N N)))) * [misc]simplify: Simplified (2) to (λ (N) (fma (/ (sqrt 1/3) (* (sqrt N) N)) (/ (sqrt 1/3) (* (sqrt N) N)) (- (/ 1 N) (/ 1/2 (* N N))))) * * * * [misc]progress: [ 89 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (345 enodes) * [exit]simplify: Simplified to (fma (/ (sqrt 1/3) (* (sqrt N) N)) (/ (sqrt 1/3) (* (sqrt N) N)) (- (/ 1 N) (/ 1/2 (* N N)))) * [misc]simplify: Simplified (2) to (λ (N) (fma (/ (sqrt 1/3) (* (sqrt N) N)) (/ (sqrt 1/3) (* (sqrt N) N)) (- (/ 1 N) (/ 1/2 (* N N))))) * * * * [misc]progress: [ 90 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log (/ -1 N))))))) (/ 1 N)) (* 1/2 (/ 1 (exp (* 2 (- (log -1) (log (/ -1 N)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (487 enodes) * [exit]simplify: Simplified to (+ (/ 1/3 (pow (/ -1 (/ -1 N)) 3)) (- (/ 1 N) (/ 1/2 (* (/ -1 (/ -1 N)) (/ -1 (/ -1 N)))))) * [misc]simplify: Simplified (2) to (λ (N) (+ (/ 1/3 (pow (/ -1 (/ -1 N)) 3)) (- (/ 1 N) (/ 1/2 (* (/ -1 (/ -1 N)) (/ -1 (/ -1 N))))))) * * * * [misc]progress: [ 91 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (pow N 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * [exit]simplify: Simplified to (/ 1 (* N N)) * [misc]simplify: Simplified (2 2 2) to (λ (N) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (* N N))))) * * * * [misc]progress: [ 92 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 N) 2) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * [exit]simplify: Simplified to (* (/ 1 N) (/ 1 N)) * [misc]simplify: Simplified (2 2 2) to (λ (N) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (* (/ 1 N) (/ 1 N))))) * * * * [misc]progress: [ 93 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (exp (* 2 (- (log -1) (log (/ -1 N)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (/ 1 (* (* -1 (/ N -1)) (* -1 (/ N -1)))) * [misc]simplify: Simplified (2 2 2) to (λ (N) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (* (* -1 (/ N -1)) (* -1 (/ N -1))))))) * * * * [misc]progress: [ 94 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (pow N 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * [exit]simplify: Simplified to (/ (/ 1 N) (* N N)) * [misc]simplify: Simplified (2 1 1 2) to (λ (N) (- (+ (* 1/3 (/ (/ 1 N) (* N N))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) * * * * [misc]progress: [ 95 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 N) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * [exit]simplify: Simplified to (pow (/ 1 N) 3) * [misc]simplify: Simplified (2 1 1 2) to (λ (N) (- (+ (* 1/3 (pow (/ 1 N) 3)) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) * * * * [misc]progress: [ 96 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (exp (* 3 (- (log -1) (log (/ -1 N)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (/ 1 (pow (* -1 (/ N -1)) 3)) * [misc]simplify: Simplified (2 1 1 2) to (λ (N) (- (+ (* 1/3 (/ 1 (pow (* -1 (/ N -1)) 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) * * * * [misc]progress: [ 97 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/3 (pow N 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * [exit]simplify: Simplified to (/ (/ 1/3 N) (* N N)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ (/ (/ 1/3 N) (* N N)) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) * * * * [misc]progress: [ 98 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/3 (pow N 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * [exit]simplify: Simplified to (/ (/ 1/3 N) (* N N)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ (/ (/ 1/3 N) (* N N)) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) * * * * [misc]progress: [ 99 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/3 (exp (* 3 (- (log -1) (log (/ -1 N)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (/ 1/3 (pow (* -1 (/ N -1)) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ (/ 1/3 (pow (* -1 (/ N -1)) 3)) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) * * * [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 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (log (/ (+ 1 N) N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 N) N)) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 N) N) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 N) N)) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 N) N) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (log (/ (+ 1 (/ 1 N)) (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (/ 1 N)) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (/ 1 N)) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* 1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (+ 1 N) N) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ 1 N) N) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ 1 N) N) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (* 1 (/ 1 N))) into (+ 1 (/ 1 N)) * [misc]approximate: Taking taylor expansion of (/ (+ 1 (/ 1 N)) (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 N)) 1) into (+ 1 (/ 1 N)) * [misc]approximate: Taking taylor expansion of (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* 1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ 1 (/ 1 N)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (+ (* 1/3 (- (log1p N) (log N))) (* 1/3 (- (log1p N) (log N)))) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (+ (* 1/3 (- (log1p N) (log N))) (* 1/3 (- (log1p N) (log N)))) (log (cbrt (/ (+ 1 N) N))))) * * * * [misc]progress: [ 4 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ 1 N) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* 1/2 (- (log1p N) (log N))) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (* 1/2 (- (log1p N) (log N))) (log (sqrt (/ (+ 1 N) N))))) * * * * [misc]progress: [ 5 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log 1) (log (/ (+ 1 N) N)))) * * * * [misc]progress: [ 6 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * [exit]simplify: Simplified to (log1p N) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log1p N) (log (/ 1 N)))) * * * * [misc]progress: [ 7 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * [exit]simplify: Simplified to (log1p N) * [misc]simplify: Simplified (2 1) to (λ (N) (- (log1p N) (log N))) * * * * [misc]progress: [ 8 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 N) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * [exit]simplify: Simplified to (/ (+ N 1) N) * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ N 1) N))) * * * * [misc]progress: [ 11 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * [exit]simplify: Simplified to (pow (+ N 1) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (pow (+ N 1) (+ 1/3 1/3)) (/ N (cbrt (+ 1 N)))))) * * * * [misc]progress: [ 30 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * [exit]simplify: Simplified to (sqrt (+ N 1)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (sqrt (+ N 1)) (/ N (sqrt (+ 1 N)))))) * * * * [misc]progress: [ 31 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow 1 3) (pow N 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * [exit]simplify: Simplified to (fma (* N N) N 1) * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (fma (* N N) N 1) (* N (+ (* 1 1) (- (* N N) (* 1 N))))))) * * * * [misc]progress: [ 33 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* N N)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * [exit]simplify: Simplified to (- 1 (* N N)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (log (/ (- 1 (* N N)) (* N (- 1 N))))) * * * * [misc]progress: [ 34 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (- N (fma (* N N) 1/2 (log N))) * [misc]simplify: Simplified (2) to (λ (N) (- N (fma (* N N) 1/2 (log N)))) * * * * [misc]progress: [ 35 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (345 enodes) * [exit]simplify: Simplified to (fma (/ (sqrt 1/3) (* (sqrt N) N)) (/ (sqrt 1/3) (* (sqrt N) N)) (- (/ 1 N) (/ 1/2 (* N N)))) * [misc]simplify: Simplified (2) to (λ (N) (fma (/ (sqrt 1/3) (* (sqrt N) N)) (/ (sqrt 1/3) (* (sqrt N) N)) (- (/ 1 N) (/ 1/2 (* N N))))) * * * * [misc]progress: [ 36 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (345 enodes) * [exit]simplify: Simplified to (fma (/ (sqrt 1/3) (* (sqrt N) N)) (/ (sqrt 1/3) (* (sqrt N) N)) (- (/ 1 N) (/ 1/2 (* N N)))) * [misc]simplify: Simplified (2) to (λ (N) (fma (/ (sqrt 1/3) (* (sqrt N) N)) (/ (sqrt 1/3) (* (sqrt N) N)) (- (/ 1 N) (/ 1/2 (* N N))))) * * * * [misc]progress: [ 37 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (/ 1 N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * [exit]simplify: Simplified to (+ 1 (/ 1 N)) * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) * * * * [misc]progress: [ 38 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (/ 1 N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * [exit]simplify: Simplified to (+ 1 (/ 1 N)) * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) * * * * [misc]progress: [ 39 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (/ 1 N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * [exit]simplify: Simplified to (+ 1 (/ 1 N)) * [misc]simplify: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (log (/ (+ 1 N) N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 N) N)) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 N) N) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 N) N)) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 N) N) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (log (/ (+ 1 (/ 1 N)) (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (/ 1 N)) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (/ 1 N)) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* 1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (log (/ (+ 1 N) N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 N) N)) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 N) N) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 N) N)) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 N) N) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (log (/ (+ 1 (/ 1 N)) (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (/ 1 N)) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (/ 1 N)) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* 1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ 1 N) N))) in N * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 N) N)) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 N) N) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ 1 N) N))) in N * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 N) N)) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 N) N) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ 1 N) N))) in N * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 N) N)) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 N) N) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ 1 N) N))) in N * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 N) N)) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 N) N) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]backup-simplify: Simplify (* (sqrt (- (log N))) (sqrt (- (log N)))) into (pow (sqrt (- (log N))) 2) * [misc]backup-simplify: Simplify (pow (sqrt (- (log N))) 2) into (pow (sqrt (- (log N))) 2) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (log N))) (/ 1/2 (sqrt (- (log N))))) (* (/ 1/2 (sqrt (- (log N)))) (sqrt (- (log N))))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (log N))) (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N)))))) (+ (* (/ 1/2 (sqrt (- (log N)))) (/ 1/2 (sqrt (- (log N))))) (* (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) (sqrt (- (log N)))))) into (- 1/2) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (pow (sqrt (- (log N))) 2))) into (- (+ (pow (sqrt (- (log N))) 2) N) (* 1/2 (pow N 2))) * [misc]approximate: Taking taylor expansion of (* (sqrt (log (/ (+ 1 (/ 1 N)) (/ 1 N)))) (sqrt (log (/ (+ 1 (/ 1 N)) (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (log (/ (+ 1 (/ 1 N)) (/ 1 N)))) (sqrt (log (/ (+ 1 (/ 1 N)) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ 1 (/ 1 N)) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (/ 1 N)) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ 1 (/ 1 N)) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (/ 1 N)) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (log (/ (+ 1 (/ 1 N)) (/ 1 N)))) (sqrt (log (/ (+ 1 (/ 1 N)) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ 1 (/ 1 N)) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (/ 1 N)) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ 1 (/ 1 N)) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (/ 1 N)) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (/ (- -1/4 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (/ (- -1/4 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 4)) (+ (* (- +nan.0) (pow (/ 1 N) 3)) (* (- +nan.0) (pow (/ 1 N) 2)))) into (- (+ (* +nan.0 (/ 1 (pow N 4))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 (pow N 3)))))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) (sqrt (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) (sqrt (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* 1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* 1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) (sqrt (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* 1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* 1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (/ (- -1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (/ (- -1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 -1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 -1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 -1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (/ (- -1/4 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 -1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 -1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 -1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (/ (- -1/4 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 4)) (+ (* (- +nan.0) (pow (/ 1 (- N)) 3)) (* (- +nan.0) (pow (/ 1 (- N)) 2)))) into (- (+ (* +nan.0 (/ 1 (pow N 4))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 (pow N 3)))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (log (/ (+ 1 N) N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ 1 N) N))) in N * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 N) N)) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 N) N) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ 1 N) N))) in N * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 N) N)) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 N) N) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) * [misc]backup-simplify: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt (- (log N)))) into (/ 1/2 (sqrt (- (log N)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) (pow N 2)) (+ (* (/ 1/2 (sqrt (- (log N)))) N) (sqrt (- (log N))))) into (- (+ (sqrt (- (log N))) (* 1/2 (/ N (sqrt (- (log N)))))) (+ (* 1/4 (/ (pow N 2) (sqrt (- (log N))))) (* 1/8 (/ (pow N 2) (pow (sqrt (- (log N))) 3))))) * [misc]approximate: Taking taylor expansion of (sqrt (log (/ (+ 1 (/ 1 N)) (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ 1 (/ 1 N)) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (/ 1 N)) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ 1 (/ 1 N)) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (/ 1 N)) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 N) 3)) (+ (* +nan.0 (pow (/ 1 N) 2)) (* +nan.0 (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) * [misc]approximate: Taking taylor expansion of (sqrt (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* 1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* 1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (/ (- -1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 3)) (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (* +nan.0 (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (+ (* 1/3 (- (log1p N) (log N))) (* 1/3 (- (log1p N) (log N)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (log (/ (+ 1 N) N))) (sqrt (+ (+ (* 1/3 (- (log1p N) (log N))) (* 1/3 (- (log1p N) (log N)))) (log (cbrt (/ (+ 1 N) N))))))) * * * * [misc]progress: [ 4 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ 1 N) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* 1/2 (- (log1p N) (log N))) * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (log (/ (+ 1 N) N))) (sqrt (+ (* 1/2 (- (log1p N) (log N))) (log (sqrt (/ (+ 1 N) N))))))) * * * * [misc]progress: [ 5 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (log (/ (+ 1 N) N))) (sqrt (+ (log 1) (log (/ (+ 1 N) N)))))) * * * * [misc]progress: [ 6 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * [exit]simplify: Simplified to (log1p N) * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (log (/ (+ 1 N) N))) (sqrt (+ (log1p N) (log (/ 1 N)))))) * * * * [misc]progress: [ 7 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * [exit]simplify: Simplified to (log1p N) * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (log (/ (+ 1 N) N))) (sqrt (- (log1p N) (log N))))) * * * * [misc]progress: [ 8 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 N) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * [exit]simplify: Simplified to (/ (+ N 1) N) * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ N 1) N))))) * * * * [misc]progress: [ 11 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (151 enodes) * [exit]simplify: Simplified to (+ (* 1/3 (- (log1p N) (log N))) (* 1/3 (- (log1p N) (log N)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (sqrt (+ (+ (* 1/3 (- (log1p N) (log N))) (* 1/3 (- (log1p N) (log N)))) (log (cbrt (/ (+ 1 N) N))))) (sqrt (log (/ (+ 1 N) N))))) * * * * [misc]progress: [ 20 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ 1 N) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (* 1/2 (- (log1p N) (log N))) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (sqrt (+ (* 1/2 (- (log1p N) (log N))) (log (sqrt (/ (+ 1 N) N))))) (sqrt (log (/ (+ 1 N) N))))) * * * * [misc]progress: [ 21 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (sqrt (+ (log 1) (log (/ (+ 1 N) N)))) (sqrt (log (/ (+ 1 N) N))))) * * * * [misc]progress: [ 22 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * [exit]simplify: Simplified to (log1p N) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (sqrt (+ (log1p N) (log (/ 1 N)))) (sqrt (log (/ (+ 1 N) N))))) * * * * [misc]progress: [ 23 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * [exit]simplify: Simplified to (log1p N) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (sqrt (- (log1p N) (log N))) (sqrt (log (/ (+ 1 N) N))))) * * * * [misc]progress: [ 24 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 N) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * [exit]simplify: Simplified to (/ (+ N 1) N) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ 1 N) N))))) * * * * [misc]progress: [ 27 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ 1 N) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (pow (- (log1p N) (log N)) (+ 1/2 1/2))) * [enter]simplify: Simplifying (+ 1/2 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (+ 1/2 1/2) * [misc]simplify: Simplified (2 2) to (λ (N) (pow (- (log1p N) (log N)) (+ 1/2 1/2))) * * * * [misc]progress: [ 36 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (+ 1 N) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [misc]simplify: Simplified (2 1) to (λ (N) (pow (sqrt (- (log1p N) (log N))) (+ 1 1))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2) to (λ (N) (pow (sqrt (- (log1p N) (log N))) 1)) * * * * [misc]progress: [ 37 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (* (- (log1p N) (log N)) (- (log1p N) (log N))) * [misc]simplify: Simplified (2 1) to (λ (N) (pow (* (- (log1p N) (log N)) (- (log1p N) (log N))) 1/2)) * * * * [misc]progress: [ 38 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (pow (- (log1p N) (log N)) 1)) * * * * [misc]progress: [ 39 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (+ 1 N) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [misc]simplify: Simplified (2 1) to (λ (N) (pow (sqrt (- (log1p N) (log N))) (+ 1 1))) * * * * [misc]progress: [ 41 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (log (/ (+ 1 N) N)))) (log (sqrt (log (/ (+ 1 N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * [exit]simplify: Simplified to (/ 0 0) * [misc]simplify: Simplified (2 1) to (λ (N) (exp (/ 0 0))) * * * * [misc]progress: [ 43 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N)))) (sqrt (log (/ (+ 1 N) N)))) (* (* (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N)))) (sqrt (log (/ (+ 1 N) N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (pow (- (log1p N) (log N)) 3) * [misc]simplify: Simplified (2 1) to (λ (N) (cbrt (pow (- (log1p N) (log N)) 3))) * * * * [misc]progress: [ 46 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (* (- (log1p N) (log N)) (- (log1p N) (log N))) * [misc]simplify: Simplified (2 1) to (λ (N) (sqrt (* (- (log1p N) (log N)) (- (log1p N) (log N))))) * * * * [misc]progress: [ 49 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 N) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * [exit]simplify: Simplified to (/ (+ N 1) N) * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ N 1) N))) * * * * [misc]progress: [ 51 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (log (/ (+ 1 N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * [exit]simplify: Simplified to (pow (- (log1p N) (log N)) (* 1/2 1/3)) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (log (/ (+ 1 N) N))) (* (cbrt (sqrt (log (/ (+ 1 N) N)))) (cbrt (sqrt (log (/ (+ 1 N) N)))))) (pow (- (log1p N) (log N)) (* 1/2 1/3)))) * * * * [misc]progress: [ 53 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (+ 1 N) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (log (/ (+ 1 N) N))) (sqrt 1)) (sqrt (- (log1p N) (log N))))) * * * * [misc]progress: [ 54 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (log (/ (+ 1 N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (148 enodes) * [exit]simplify: Simplified to (pow (- (log1p N) (log N)) (* 1/3 1/2)) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (log (/ (+ 1 N) N))) (sqrt (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))))) (pow (- (log1p N) (log N)) (* 1/3 1/2)))) * * * * [misc]progress: [ 55 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (log (/ (+ 1 N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (pow (- (log1p N) (log N)) (* 1/2 1/2)) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (log (/ (+ 1 N) N))) (sqrt (sqrt (log (/ (+ 1 N) N))))) (pow (- (log1p N) (log N)) (* 1/2 1/2)))) * * * * [misc]progress: [ 56 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (+ 1 N) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (log (/ (+ 1 N) N))) (sqrt 1)) (sqrt (- (log1p N) (log N))))) * * * * [misc]progress: [ 57 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (log (/ (+ 1 N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (pow (- (log1p N) (log N)) (* 1/2 1/2)) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (log (/ (+ 1 N) N))) (sqrt (sqrt (log (/ (+ 1 N) N))))) (pow (- (log1p N) (log N)) (* 1/2 1/2)))) * * * * [misc]progress: [ 58 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (+ 1 N) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (log (/ (+ 1 N) N))) 1) (sqrt (- (log1p N) (log N))))) * * * * [misc]progress: [ 59 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (log (/ (+ 1 N) N)))) (cbrt (sqrt (log (/ (+ 1 N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (cbrt (- (log1p N) (log N))) * [misc]simplify: Simplified (2 1) to (λ (N) (* (cbrt (- (log1p N) (log N))) (* (cbrt (sqrt (log (/ (+ 1 N) N)))) (sqrt (log (/ (+ 1 N) N)))))) * * * * [misc]progress: [ 60 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt 1) (* (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N)))))) * * * * [misc]progress: [ 61 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * [exit]simplify: Simplified to (cbrt (- (log1p N) (log N))) * [misc]simplify: Simplified (2 1) to (λ (N) (* (cbrt (- (log1p N) (log N))) (* (sqrt (cbrt (log (/ (+ 1 N) N)))) (sqrt (log (/ (+ 1 N) N)))))) * * * * [misc]progress: [ 62 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (log (/ (+ 1 N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (pow (- (log1p N) (log N)) (* 1/2 1/2)) * [misc]simplify: Simplified (2 1) to (λ (N) (* (pow (- (log1p N) (log N)) (* 1/2 1/2)) (* (sqrt (sqrt (log (/ (+ 1 N) N)))) (sqrt (log (/ (+ 1 N) N)))))) * * * * [misc]progress: [ 63 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt 1) (* (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N)))))) * * * * [misc]progress: [ 64 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (log (/ (+ 1 N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (pow (- (log1p N) (log N)) (* 1/2 1/2)) * [misc]simplify: Simplified (2 1) to (λ (N) (* (pow (- (log1p N) (log N)) (* 1/2 1/2)) (* (sqrt (sqrt (log (/ (+ 1 N) N)))) (sqrt (log (/ (+ 1 N) N)))))) * * * * [misc]progress: [ 65 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ 1 N) N))) (* (sqrt 1) (sqrt (log (/ (+ 1 N) N)))))) * * * * [misc]progress: [ 76 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (167 enodes) * [exit]simplify: Simplified to (cbrt (- (log1p N) (log N))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ 1 N) N))) (* (cbrt (- (log1p N) (log N))) (sqrt (cbrt (log (/ (+ 1 N) N))))))) * * * * [misc]progress: [ 77 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (log (/ (+ 1 N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (pow (- (log1p N) (log N)) (* 1/2 1/2)) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ 1 N) N))) (* (pow (- (log1p N) (log N)) (* 1/2 1/2)) (sqrt (sqrt (log (/ (+ 1 N) N))))))) * * * * [misc]progress: [ 78 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ 1 N) N))) (* (sqrt 1) (sqrt (log (/ (+ 1 N) N)))))) * * * * [misc]progress: [ 79 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (+ 1 N) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (131 enodes) * [exit]simplify: Simplified to (sqrt (- (log1p N) (log N))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ 1 N) N))) (fabs (sqrt (- (log1p N) (log N)))))) * * * * [misc]progress: [ 81 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (- N (fma (* N N) 1/2 (log N))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ 1 N) N))) (sqrt (- N (fma (* N N) 1/2 (log N)))))) * * * * [misc]progress: [ 83 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (345 enodes) * [exit]simplify: Simplified to (fma (/ (sqrt 1/3) (* (sqrt N) N)) (/ (sqrt 1/3) (* (sqrt N) N)) (- (/ 1 N) (/ 1/2 (* N N)))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ 1 N) N))) (sqrt (fma (/ (sqrt 1/3) (* (sqrt N) N)) (/ (sqrt 1/3) (* (sqrt N) N)) (- (/ 1 N) (/ 1/2 (* N N))))))) * * * * [misc]progress: [ 84 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (345 enodes) * [exit]simplify: Simplified to (fma (/ (sqrt 1/3) (* (sqrt N) N)) (/ (sqrt 1/3) (* (sqrt N) N)) (- (/ 1 N) (/ 1/2 (* N N)))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (log (/ (+ 1 N) N))) (sqrt (fma (/ (sqrt 1/3) (* (sqrt N) N)) (/ (sqrt 1/3) (* (sqrt N) N)) (- (/ 1 N) (/ 1/2 (* N N))))))) * * * * [misc]progress: [ 85 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (- N (fma (* N N) 1/2 (log N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (sqrt (- N (fma (* N N) 1/2 (log N)))) (sqrt (log (/ (+ 1 N) N))))) * * * * [misc]progress: [ 86 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (345 enodes) * [exit]simplify: Simplified to (fma (/ (sqrt 1/3) (* (sqrt N) N)) (/ (sqrt 1/3) (* (sqrt N) N)) (- (/ 1 N) (/ 1/2 (* N N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (sqrt (fma (/ (sqrt 1/3) (* (sqrt N) N)) (/ (sqrt 1/3) (* (sqrt N) N)) (- (/ 1 N) (/ 1/2 (* N N))))) (sqrt (log (/ (+ 1 N) N))))) * * * * [misc]progress: [ 87 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (345 enodes) * [exit]simplify: Simplified to (fma (/ (sqrt 1/3) (* (sqrt N) N)) (/ (sqrt 1/3) (* (sqrt N) N)) (- (/ 1 N) (/ 1/2 (* N N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (sqrt (fma (/ (sqrt 1/3) (* (sqrt N) N)) (/ (sqrt 1/3) (* (sqrt N) N)) (- (/ 1 N) (/ 1/2 (* N N))))) (sqrt (log (/ (+ 1 N) N))))) * * * * [misc]progress: [ 88 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow (sqrt (- (log N))) 2) N) (* 1/2 (pow N 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (- (+ N (log N)) (* N (* N 1/2))) * [misc]simplify: Simplified (2) to (λ (N) (- (+ N (log N)) (* N (* N 1/2)))) * * * * [misc]progress: [ 89 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow N 4))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 (pow N 3)))))))) * [misc]simplify: Simplified (2) to (λ (N) +nan.0) * * * * [misc]progress: [ 90 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow N 4))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 (pow N 3)))))))) * [misc]simplify: Simplified (2) to (λ (N) +nan.0) * * * * [misc]progress: [ 91 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt (- (log N))) (* 1/2 (/ N (sqrt (- (log N)))))) (+ (* 1/4 (/ (pow N 2) (sqrt (- (log N))))) (* 1/8 (/ (pow N 2) (pow (sqrt (- (log N))) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (452 enodes) * [exit]simplify: Simplified to (- (fma 1/2 (/ N (sqrt (log N))) (sqrt (log N))) (fma (/ (* N N) (sqrt (log N))) 1/4 (/ (* 1/8 (* N N)) (pow (log N) (* 1/2 3))))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (log (/ (+ 1 N) N))) (- (fma 1/2 (/ N (sqrt (log N))) (sqrt (log N))) (fma (/ (* N N) (sqrt (log N))) 1/4 (/ (* 1/8 (* N N)) (pow (log N) (* 1/2 3))))))) * * * * [misc]progress: [ 92 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (log (/ (+ 1 N) N))) +nan.0)) * * * * [misc]progress: [ 93 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (log (/ (+ 1 N) N))) +nan.0)) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # #) * [misc]regimes: searching between 0.00013573867352079105 and 1.7961967882840213e-05 on (- (log (+ N 1)) (log N)) * * * * [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 55672.68718103453 and 7366.597199336127 on N * * * * [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 0.000135738673520601 and 1.7961967881792863e-05 on (* (sqrt (log (/ (+ 1 N) N))) (sqrt (+ (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N)))))) * * * * [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 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 19 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 4 additional inputs, on iter 2 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 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 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 4 additional inputs, on iter 2 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 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 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 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 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 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 4 additional inputs, on iter 2 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 * * * * [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 6 additional inputs, on iter 1 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 2 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 1.0001357478864312 and 1.000017962129199 on (/ (+ 1 N) N) * [misc]regimes: searching between 0.00013573867352071237 and 1.7961967881866562e-05 on (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * * * [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 4 additional inputs, on iter 2 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 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 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 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 * * * * [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 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 * * * * [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 4 additional inputs, on iter 2 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 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 * * * * [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 5 additional inputs, on iter 1 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 * * * * [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 6 additional inputs, on iter 1 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 2 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 0.00013573867352067434 and 1.796196788183372e-05 on (* (sqrt (log (/ (+ 1 N) N))) (sqrt (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))) * * * * [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 6 additional inputs, on iter 1 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 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 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 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 4 additional inputs, on iter 2 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 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 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 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 4 additional inputs, on iter 3 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 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 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 4 additional inputs, on iter 3 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 6 additional inputs, on iter 1 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 2 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 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 * * * * [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 4 additional inputs, on iter 2 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 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 * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 0.00013573867352071229 and 1.796196788186655e-05 on (exp (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))) * * * * [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 4 additional inputs, on iter 2 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 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 * * * * [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 6 additional inputs, on iter 1 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 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 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 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 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 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 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 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 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 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 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 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 * * * * [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 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 4 additional inputs, on iter 2 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 3 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 -8.904779038942744 and -10.927253930832773 on (log (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) * * * * [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 5 additional inputs, on iter 1 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 2 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 4 additional inputs, on iter 2 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 3 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 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 4 additional inputs, on iter 2 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 0.00013573867352063626 and 1.7961967881800876e-05 on (cbrt (* (* (* (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N)))) (* (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))))) (* (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N)))))) * * * * [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 4 additional inputs, on iter 2 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 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 * * * * [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 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 4 additional inputs, on iter 2 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 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 * * * * [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 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 * * * * [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 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 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 * * * * [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 6 additional inputs, on iter 1 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 2 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 3 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 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 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 * * * * [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]regimes: searching between 2.5009833614104388e-12 and 5.795110833967993e-15 on (* (* (* (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N)))) (* (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))))) (* (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))))) * * * * [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 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 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 4 additional inputs, on iter 2 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 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 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 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 * * * * [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 4 additional inputs, on iter 2 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 * * * * [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 4 additional inputs, on iter 2 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 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 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 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 4 additional inputs, on iter 2 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 3 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 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 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 0.00013573867352063628 and 1.7961967881800876e-05 on (* (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N)))) * * * * [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 4 additional inputs, on iter 2 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 3 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 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 4 additional inputs, on iter 2 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 3 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 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 4 additional inputs, on iter 2 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 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 5 additional inputs, on iter 1 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 2 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 3 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 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 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 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 4 additional inputs, on iter 2 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 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 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 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 * * * * [exit]points: Sampled 17 points with exact outputs * [misc]regimes: searching between 0.011650694121838247 and 0.004238156188934155 on (sqrt (log (/ (+ 1 N) N))) * * * * [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 4 additional inputs, on iter 2 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 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 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 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 4 additional inputs, on iter 3 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 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 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 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 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 * * * * [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: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 1 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [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 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [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 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [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 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [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 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * [misc]regimes: searching between 0.0001357386735206363 and 1.7961967881800876e-05 on (log (/ (+ 1 N) N)) * * * * [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 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 1 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [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 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 1 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [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 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [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 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [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 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [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 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [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 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [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 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [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 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [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 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [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 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 1 have 10 / 16 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [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 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [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 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [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 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [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 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [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 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: Found splitpoints: (#s(sp 0 (- (log (+ N 1)) (log N)) 1.8311825175768015e-05) #s(sp 1 (- (log (+ N 1)) (log N)) +nan.0)) , with alts (# #) * [enter]simplify: Simplifying (if (<= (- (log (+ N 1)) (log N)) 1.8311825175768015e-05) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (log (/ (+ 1 N) N))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * [exit]simplify: Simplified to (if (<= (- (log (+ 1 N)) (log N)) 1.8311825175768015e-05) (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) (log (/ (+ 1 N) N))) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4020 additional inputs, on iter 1 have 3980 / 8000 * * * * [misc]points: Computing exacts on every 251 of 4020 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 125 of 4020 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 62 of 4020 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 31 of 4020 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 15 of 4020 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 7 of 4020 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 3 of 4020 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts for 4020 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 2033 additional inputs, on iter 2 have 5967 / 8000 * * * * [misc]points: Computing exacts on every 127 of 2033 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 63 of 2033 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 31 of 2033 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 15 of 2033 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 7 of 2033 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 3 of 2033 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts for 2033 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1032 additional inputs, on iter 3 have 6968 / 8000 * * * * [misc]points: Computing exacts on every 64 of 1032 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 32 of 1032 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 16 of 1032 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 8 of 1032 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 4 of 1032 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 2 of 1032 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts for 1032 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 528 additional inputs, on iter 4 have 7472 / 8000 * * * * [misc]points: Computing exacts on every 33 of 528 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 16 of 528 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 8 of 528 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 4 of 528 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 2 of 528 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts for 528 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 251 additional inputs, on iter 5 have 7749 / 8000 * * * * [misc]points: Computing exacts on every 15 of 251 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 7 of 251 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 3 of 251 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts for 251 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 130 additional inputs, on iter 6 have 7870 / 8000 * * * * [misc]points: Computing exacts on every 8 of 130 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 4 of 130 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 2 of 130 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts for 130 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 69 additional inputs, on iter 7 have 7931 / 8000 * * * * [misc]points: Computing exacts on every 4 of 69 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts on every 2 of 69 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts for 69 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 38 additional inputs, on iter 8 have 7962 / 8000 * * * * [misc]points: Computing exacts on every 2 of 38 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts for 38 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 25 additional inputs, on iter 9 have 7975 / 8000 * * * * [misc]points: Computing exacts for 25 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 15 additional inputs, on iter 10 have 7985 / 8000 * * * * [misc]points: Computing exacts for 15 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 11 have 7995 / 8000 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs