* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 131 additional inputs, on iter 1 have 125 / 256 * * * * [misc]points: Computing exacts on every 8 of 131 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 131 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 131 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 131 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 59 additional inputs, on iter 2 have 197 / 256 * * * * [misc]points: Computing exacts on every 3 of 59 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 59 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 34 additional inputs, on iter 3 have 222 / 256 * * * * [misc]points: Computing exacts on every 2 of 34 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 34 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 18 additional inputs, on iter 4 have 238 / 256 * * * * [misc]points: Computing exacts for 18 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 5 have 250 / 256 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 258 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 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (log (+ 1 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 (- (log (+ N 1)) (log N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) 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]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 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 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 (- (log (+ N 1)) (log N)) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) 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]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 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 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 (+ 1 0) 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 (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) 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]taylor: Taking taylor expansion of 1 in N * [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 (/ 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 (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) 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]taylor: Taking taylor expansion of 1 in N * [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 (/ 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 (+ 0 1) 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 (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) 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]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) 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 (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) 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]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) 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 (+ 0 1) 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 (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) 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]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 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 (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) 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]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 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 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 (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) 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]taylor: Taking taylor expansion of 1 in N * [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 (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) 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]taylor: Taking taylor expansion of 1 in N * [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 (+ (* (- 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 (+ 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 (/ (* (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 (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) 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]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) 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]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) 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 (+ 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 (/ (+ (* -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 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ N 1) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ (+ 1 N) N) * [exit]simplify: Simplified to (/ (+ 1 N) N) * * * * [misc]progress: [ 2 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (log (- (log (+ 1 N)) (log N))) * [exit]simplify: Simplified to (log (- (log (+ 1 N)) (log N))) * * * * [misc]progress: [ 4 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (+ 1 N) N) * [exit]simplify: Simplified to (/ (+ 1 N) N) * * * * [misc]progress: [ 5 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (- (log (+ 1 N)) (log N))) (cbrt (- (log (+ 1 N)) (log N)))) * [exit]simplify: Simplified to (* (cbrt (- (log (+ 1 N)) (log N))) (cbrt (- (log (+ 1 N)) (log N)))) * [enter]simplify: Simplifying (cbrt (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (- (log (+ 1 N)) (log N))) * [exit]simplify: Simplified to (cbrt (- (log (+ 1 N)) (log N))) * * * * [misc]progress: [ 6 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * [exit]simplify: Simplified to (pow (- (log (+ 1 N)) (log N)) 3) * [exit]simplify: Simplified to (pow (- (log (+ 1 N)) (log N)) 3) * * * * [misc]progress: [ 7 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (- (log (+ 1 N)) (log N))) * [exit]simplify: Simplified to (sqrt (- (log (+ 1 N)) (log N))) * [enter]simplify: Simplifying (sqrt (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (- (log (+ 1 N)) (log N))) * [exit]simplify: Simplified to (sqrt (- (log (+ 1 N)) (log N))) * * * * [misc]progress: [ 8 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log (+ N 1)) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (+ (pow (log (+ 1 N)) 3) (* (* (log N) (log N)) (- (log N)))) * [exit]simplify: Simplified to (+ (pow (log (+ 1 N)) 3) (* (* (log N) (log N)) (- (log N)))) * [enter]simplify: Simplifying (+ (* (log (+ N 1)) (log (+ N 1))) (+ (* (log N) (log N)) (* (log (+ N 1)) (log N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (+ (* (log (+ 1 N)) (log (+ 1 N))) (* (+ (log N) (log (+ 1 N))) (log N))) * [exit]simplify: Simplified to (+ (* (log (+ 1 N)) (log (+ 1 N))) (* (+ (log N) (log (+ 1 N))) (log N))) * * * * [misc]progress: [ 9 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 10 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))) * [exit]simplify: Simplified to (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))) * [enter]simplify: Simplifying (+ (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ (log (+ 1 N)) (log N)) * [exit]simplify: Simplified to (+ (log (+ 1 N)) (log N)) * * * * [misc]progress: [ 12 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (log (+ N 1))) (sqrt (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (sqrt (log (+ 1 N))) (sqrt (log N))) * [exit]simplify: Simplified to (+ (sqrt (log (+ 1 N))) (sqrt (log N))) * [enter]simplify: Simplifying (- (sqrt (log (+ N 1))) (sqrt (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (sqrt (log (+ 1 N))) (sqrt (log N))) * [exit]simplify: Simplified to (- (sqrt (log (+ 1 N))) (sqrt (log N))) * * * * [misc]progress: [ 13 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (log (+ 1 N)) (log N)) * [exit]simplify: Simplified to (- (log (+ 1 N)) (log N)) * * * * [misc]progress: [ 14 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (log (+ 1 N)) (log N)) * [exit]simplify: Simplified to (- (log (+ 1 N)) (log N)) * * * * [misc]progress: [ 15 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cbrt (+ N 1))) (log N)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (log (cbrt (+ 1 N))) (log N)) * [exit]simplify: Simplified to (- (log (cbrt (+ 1 N))) (log N)) * * * * [misc]progress: [ 16 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt (+ N 1))) (log N)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (log (sqrt (+ 1 N))) (log N)) * [exit]simplify: Simplified to (- (log (sqrt (+ 1 N))) (log N)) * * * * [misc]progress: [ 17 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (log (+ 1 N)) (log N)) * [exit]simplify: Simplified to (- (log (+ 1 N)) (log N)) * * * * [misc]progress: [ 18 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (+ (log N) (log (+ (- 1 N) (* N N)))) * [exit]simplify: Simplified to (+ (log N) (log (+ (- 1 N) (* N N)))) * * * * [misc]progress: [ 19 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (+ (log (- N 1)) (log N)) * [exit]simplify: Simplified to (+ (log (- N 1)) (log N)) * * * * [misc]progress: [ 20 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 21 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [enter]simplify: Simplifying (log (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * * * * [misc]progress: [ 22 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * [enter]simplify: Simplifying (log (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * * * * [misc]progress: [ 23 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ 1 N)) * [exit]simplify: Simplified to (log (+ 1 N)) * * * * [misc]progress: [ 24 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (log (+ 1 (pow N 3))) * [exit]simplify: Simplified to (log (+ 1 (pow N 3))) * [enter]simplify: Simplifying (log (+ (* N N) (- (* 1 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (log (+ (* N N) (- 1 N))) * [exit]simplify: Simplified to (log (+ (* N N) (- 1 N))) * * * * [misc]progress: [ 25 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* N N) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (log (- (* N N) 1)) * [exit]simplify: Simplified to (log (- (* N N) 1)) * [enter]simplify: Simplifying (log (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (- N 1)) * [exit]simplify: Simplified to (log (- N 1)) * * * * [misc]progress: [ 26 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ 1 N)) * [exit]simplify: Simplified to (log (+ 1 N)) * * * * [misc]progress: [ 27 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (log (+ 1 N))) * [exit]simplify: Simplified to (log (log (+ 1 N))) * * * * [misc]progress: [ 30 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ 1 N) * [exit]simplify: Simplified to (+ 1 N) * * * * [misc]progress: [ 31 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) * [enter]simplify: Simplifying (cbrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (log (+ 1 N))) * [exit]simplify: Simplified to (cbrt (log (+ 1 N))) * * * * [misc]progress: [ 32 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (pow (log (+ 1 N)) 3) * [exit]simplify: Simplified to (pow (log (+ 1 N)) 3) * * * * [misc]progress: [ 33 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ 1 N))) * [exit]simplify: Simplified to (sqrt (log (+ 1 N))) * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ 1 N))) * [exit]simplify: Simplified to (sqrt (log (+ 1 N))) * * * * [misc]progress: [ 34 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 40 ] 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 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (- (- N (log N)) (* N (* N 1/2))) * * * * [misc]progress: [ 36 / 40 ] 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 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (459 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 37 / 40 ] 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 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (459 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 38 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (pow N 2))) (log N)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (- (- N (log N)) (* (* N N) (- 1/2 (* N 1/3)))) * * * * [misc]progress: [ 39 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 N) (+ (log (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) (log N)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * [exit]simplify: Simplified to (- (+ 0 (/ 1 N)) (/ (/ 1/2 N) N)) * * * * [misc]progress: [ 40 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (log -1) (/ 1 N)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) (log N)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (- (- (+ (/ 1 N) 0) (/ (/ 1/2 N) N)) 0) * * * [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 / 3 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ 1/3 (* N N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1/3 (* N N)) 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 (* N 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]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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1/3 (* N N)) 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 (* N 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]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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 (* 1/3 (pow (/ 1 N) 2)) into (/ 1/3 (pow N 2)) * [misc]approximate: Taking taylor expansion of (/ 1/3 (* (/ 1 N) (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1/3 (* (/ 1 N) (/ 1 N))) 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 N) (/ 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]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]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1/3 (* (/ 1 N) (/ 1 N))) 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 N) (/ 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]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]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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 (* 1/3 (pow (/ 1 N) 2)) into (/ 1/3 (pow N 2)) * [misc]approximate: Taking taylor expansion of (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) 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 (- N)) (/ 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]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]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) 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 (- N)) (/ 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]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]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 (- (+ (* -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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 (- (+ (* -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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 (- (+ (* -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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 (* 1/3 (pow (/ 1 (- N)) 2)) into (/ 1/3 (pow N 2)) * * * * [misc]progress: [ 2 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (* N N)) 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 (* N 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]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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 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 (/ 1/2 N) 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 N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [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 (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (* N N)) 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 (* N 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]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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 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 (/ 1/2 N) 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 N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [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 (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1/3 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1/3 (/ 0 1)) (* -1/2 (/ 0 1)))) 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 N) (/ 1 N))) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/3 (* (/ 1 N) (/ 1 N))) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1/3 (* (/ 1 N) (/ 1 N))) (- 1 (/ 1/2 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (* (/ 1 N) (/ 1 N))) 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 N) (/ 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]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]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 N)) 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 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 (/ 1/2 1) into 1/2 * [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 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/3 (* (/ 1 N) (/ 1 N))) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1/3 (* (/ 1 N) (/ 1 N))) (- 1 (/ 1/2 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (* (/ 1 N) (/ 1 N))) 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 N) (/ 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]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]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 N)) 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 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 (/ 1/2 1) into 1/2 * [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 0) 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 (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/3 1) (+ (* 1 (/ 0 1)) (* -1/2 (/ 0 1)))) 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 (/ (+ (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) (- 1 (/ 1/2 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) 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 (- N)) (/ 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]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]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 (- N))) 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 (- 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 (/ 1/2 -1) into -1/2 * [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 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) (- 1 (/ 1/2 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) 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 (- N)) (/ 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]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]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 (- N))) 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 (- 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 (/ 1/2 -1) into -1/2 * [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 0) 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 (- -1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/2 -1) (+ (* -1 (/ 0 -1)))) 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/3 -1) (+ (* -1 (/ 0 -1)) (* -1/2 (/ 0 -1)))) 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 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (* N N)) 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 (* N 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]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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 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 (/ 1/2 N) 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 N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (* N N)) 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 (* N 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]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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 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 (/ 1/2 N) 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 N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (+ (* -1/2 (/ 1 N)) (* 1/3 (pow (/ 1 N) 2)))) into (- (+ 1 (* 1/3 (/ 1 (pow N 2)))) (* 1/2 (/ 1 N))) * [misc]approximate: Taking taylor expansion of (+ (/ 1/3 (* (/ 1 N) (/ 1 N))) (- 1 (/ 1/2 (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1/3 (* (/ 1 N) (/ 1 N))) (- 1 (/ 1/2 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (* (/ 1 N) (/ 1 N))) 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 N) (/ 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]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]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 N)) 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 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 (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1/3 (* (/ 1 N) (/ 1 N))) (- 1 (/ 1/2 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (* (/ 1 N) (/ 1 N))) 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 N) (/ 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]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]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 N)) 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 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 (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -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)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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) 2)) (+ (* -1/2 (/ 1 N)) 1)) into (- (+ 1 (* 1/3 (/ 1 (pow N 2)))) (* 1/2 (/ 1 N))) * [misc]approximate: Taking taylor expansion of (+ (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) (- 1 (/ 1/2 (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) (- 1 (/ 1/2 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) 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 (- N)) (/ 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]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]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 (- N))) 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 (- 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 (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) (- 1 (/ 1/2 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) 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 (- N)) (/ 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]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]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 (- N))) 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 (- 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 (/ 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- -1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 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)) 2)) (+ (* 1/2 (/ 1 (- N))) 1)) into (- (+ 1 (* 1/3 (/ 1 (pow N 2)))) (* 1/2 (/ 1 N))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1/3 (* N N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (log (/ (/ 1/3 N) N)) * [exit]simplify: Simplified to (log (/ (/ 1/3 N) N)) * * * * [misc]progress: [ 3 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1/3 (* N N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (exp (/ (/ 1/3 N) N)) * [exit]simplify: Simplified to (exp (/ (/ 1/3 N) N)) * * * * [misc]progress: [ 4 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1/3 (* N N))) (cbrt (/ 1/3 (* N N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 1/3 N) N)) (cbrt (/ (/ 1/3 N) N))) * [exit]simplify: Simplified to (* (cbrt (/ (/ 1/3 N) N)) (cbrt (/ (/ 1/3 N) N))) * [enter]simplify: Simplifying (cbrt (/ 1/3 (* N N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1/3 N) N)) * [exit]simplify: Simplified to (cbrt (/ (/ 1/3 N) N)) * * * * [misc]progress: [ 5 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (/ 1/3 (* N N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * [exit]simplify: Simplified to (pow (/ 1/3 (* N N)) 3) * [exit]simplify: Simplified to (pow (/ 1/3 (* N N)) 3) * * * * [misc]progress: [ 6 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1/3 (* N N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1/3 N) N)) * [exit]simplify: Simplified to (sqrt (/ (/ 1/3 N) N)) * [enter]simplify: Simplifying (sqrt (/ 1/3 (* N N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1/3 N) N)) * [exit]simplify: Simplified to (sqrt (/ (/ 1/3 N) N)) * * * * [misc]progress: [ 7 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 1/3) * [exit]simplify: Simplified to (- 1/3) * [enter]simplify: Simplifying (- (* N N)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (- N) N) * [exit]simplify: Simplified to (* (- N) N) * * * * [misc]progress: [ 8 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* N N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (/ 1 N) N) * [exit]simplify: Simplified to (/ (/ 1 N) N) * * * * [misc]progress: [ 10 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* N N) 1/3) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (* N (/ N 1/3)) * [exit]simplify: Simplified to (* N (/ N 1/3)) * * * * [misc]progress: [ 11 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/3 N) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 1/3 N) * [exit]simplify: Simplified to (/ 1/3 N) * * * * [misc]progress: [ 12 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (log (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) * [exit]simplify: Simplified to (log (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) * * * * [misc]progress: [ 14 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (exp (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) * [exit]simplify: Simplified to (exp (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) * * * * [misc]progress: [ 15 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) (cbrt (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) (cbrt (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N))) * [exit]simplify: Simplified to (* (cbrt (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) (cbrt (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N))) * [enter]simplify: Simplifying (cbrt (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) * [exit]simplify: Simplified to (cbrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) * * * * [misc]progress: [ 16 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * [exit]simplify: Simplified to (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3) * [exit]simplify: Simplified to (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3) * * * * [misc]progress: [ 17 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) * [exit]simplify: Simplified to (sqrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) * [enter]simplify: Simplifying (sqrt (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) * [exit]simplify: Simplified to (sqrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) * * * * [misc]progress: [ 18 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (- (- (/ 1/2 N) 1) (/ (/ 1/3 N) N)) * [exit]simplify: Simplified to (- (- (/ 1/2 N) 1) (/ (/ 1/3 N) N)) * [enter]simplify: Simplifying (- N) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- N) * [exit]simplify: Simplified to (- N) * * * * [misc]progress: [ 19 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (/ 1/3 (* N N)) 1) N) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (+ (/ (/ 1/3 N) N) 1) N) * [exit]simplify: Simplified to (/ (+ (/ (/ 1/3 N) N) 1) N) * [enter]simplify: Simplifying (/ (/ 1/2 N) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ 1/2 (* N N)) * [exit]simplify: Simplified to (/ 1/2 (* N N)) * * * * [misc]progress: [ 20 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 N) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 N) * [exit]simplify: Simplified to (/ 1 N) * * * * [misc]progress: [ 22 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ N (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) * [exit]simplify: Simplified to (/ N (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) * * * * [misc]progress: [ 23 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (cbrt (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ N (cbrt (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))))) * [exit]simplify: Simplified to (/ N (cbrt (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))))) * * * * [misc]progress: [ 24 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (sqrt (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ N (sqrt (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))))) * [exit]simplify: Simplified to (/ N (sqrt (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))))) * * * * [misc]progress: [ 25 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ N (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) * [exit]simplify: Simplified to (/ N (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) * * * * [misc]progress: [ 26 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ N (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) * [exit]simplify: Simplified to (/ N (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) * * * * [misc]progress: [ 27 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* N (* (* N N) (+ (* 1 1) (+ (* (/ 1/2 N) (/ 1/2 N)) (* 1 (/ 1/2 N)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (476 enodes) * [exit]simplify: Simplified to (* (pow N 3) (+ (* (/ 1/2 N) (/ 1/2 N)) (+ (/ 1/2 N) 1))) * [exit]simplify: Simplified to (* (pow N 3) (+ (* (/ 1/2 N) (/ 1/2 N)) (+ (/ 1/2 N) 1))) * * * * [misc]progress: [ 28 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* N (* (* N N) (+ 1 (/ 1/2 N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * * [misc]simplify: iters left: 1 (430 enodes) * [exit]simplify: Simplified to (* (+ N 1/2) (* N N)) * [exit]simplify: Simplified to (* (+ N 1/2) (* N N)) * * * * [misc]progress: [ 29 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* N (+ (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (- (* (- 1 (/ 1/2 N)) (- 1 (/ 1/2 N))) (* (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (+ (* (- 1 (/ 1/2 N)) (* N (- 1 (/ 1/2 N)))) (* (/ 1/3 N) (+ (/ 1/3 (* N N)) (- (/ 1/2 N) 1)))) * [exit]simplify: Simplified to (+ (* (- 1 (/ 1/2 N)) (* N (- 1 (/ 1/2 N)))) (* (/ 1/3 N) (+ (/ 1/3 (* N N)) (- (/ 1/2 N) 1)))) * * * * [misc]progress: [ 30 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* N (- (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (+ (/ 1/3 N) (- 1/2 N)) * [exit]simplify: Simplified to (+ (/ 1/3 N) (- 1/2 N)) * * * * [misc]progress: [ 31 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (/ 1/3 (* N N))) (exp (- 1 (/ 1/2 N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (exp (- (/ (/ 1/3 N) N) (- (/ 1/2 N) 1))) * [exit]simplify: Simplified to (exp (- (/ (/ 1/3 N) N) (- (/ 1/2 N) 1))) * * * * [misc]progress: [ 32 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (log (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N)))) * [exit]simplify: Simplified to (log (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N)))) * * * * [misc]progress: [ 34 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (exp (- (/ (/ 1/3 N) N) (- (/ 1/2 N) 1))) * [exit]simplify: Simplified to (exp (- (/ (/ 1/3 N) N) (- (/ 1/2 N) 1))) * * * * [misc]progress: [ 35 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) (cbrt (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N)))) (cbrt (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))))) * [exit]simplify: Simplified to (* (cbrt (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N)))) (cbrt (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))))) * [enter]simplify: Simplifying (cbrt (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (cbrt (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N)))) * [exit]simplify: Simplified to (cbrt (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N)))) * * * * [misc]progress: [ 36 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * [exit]simplify: Simplified to (pow (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) 3) * [exit]simplify: Simplified to (pow (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) 3) * * * * [misc]progress: [ 37 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N)))) * [exit]simplify: Simplified to (sqrt (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N)))) * [enter]simplify: Simplifying (sqrt (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N)))) * [exit]simplify: Simplified to (sqrt (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N)))) * * * * [misc]progress: [ 38 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/3 (+ (* 1 1) (+ (* (/ 1/2 N) (/ 1/2 N)) (* 1 (/ 1/2 N))))) (* (* N N) (- (pow 1 3) (pow (/ 1/2 N) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (339 enodes) * [exit]simplify: Simplified to (+ (+ (* (/ 1/2 N) (* (/ 1/2 N) 1/3)) (+ (* (/ 1/2 N) 1/3) 1/3)) (- (* N N) (* (* (* N N) (/ 1/2 N)) (* (/ 1/2 N) (/ 1/2 N))))) * [exit]simplify: Simplified to (+ (+ (* (/ 1/2 N) (* (/ 1/2 N) 1/3)) (+ (* (/ 1/2 N) 1/3) 1/3)) (- (* N N) (* (* (* N N) (/ 1/2 N)) (* (/ 1/2 N) (/ 1/2 N))))) * [enter]simplify: Simplifying (* (* N N) (+ (* 1 1) (+ (* (/ 1/2 N) (/ 1/2 N)) (* 1 (/ 1/2 N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (318 enodes) * [exit]simplify: Simplified to (+ (* N N) (* (+ (/ 1/2 N) 1) (* (/ 1/2 N) (* N N)))) * [exit]simplify: Simplified to (+ (* N N) (* (+ (/ 1/2 N) 1) (* (/ 1/2 N) (* N N)))) * * * * [misc]progress: [ 39 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/3 (+ 1 (/ 1/2 N))) (* (* N N) (- (* 1 1) (* (/ 1/2 N) (/ 1/2 N))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (+ (* N N) (+ (* (/ 1/3 N) 1/2) (- 1/3 (* 1/2 1/2)))) * [exit]simplify: Simplified to (+ (* N N) (+ (* (/ 1/3 N) 1/2) (- 1/3 (* 1/2 1/2)))) * [enter]simplify: Simplifying (* (* N N) (+ 1 (/ 1/2 N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (* (+ N 1/2) N) * [exit]simplify: Simplified to (* (+ N 1/2) N) * * * * [misc]progress: [ 40 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (/ 1/3 (* N N)) 3) (pow (- 1 (/ 1/2 N)) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * [exit]simplify: Simplified to (+ (pow (/ (/ 1/3 N) N) 3) (pow (- 1 (/ 1/2 N)) 3)) * [exit]simplify: Simplified to (+ (pow (/ (/ 1/3 N) N) 3) (pow (- 1 (/ 1/2 N)) 3)) * [enter]simplify: Simplifying (+ (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (- (* (- 1 (/ 1/2 N)) (- 1 (/ 1/2 N))) (* (/ 1/3 (* N N)) (- 1 (/ 1/2 N))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (+ (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (* (- 1 (/ 1/2 N)) (- (- 1 (/ 1/2 N)) (/ 1/3 (* N N))))) * [exit]simplify: Simplified to (+ (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (* (- 1 (/ 1/2 N)) (- (- 1 (/ 1/2 N)) (/ 1/3 (* N N))))) * * * * [misc]progress: [ 41 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (* (- 1 (/ 1/2 N)) (- 1 (/ 1/2 N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * [exit]simplify: Simplified to (* (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) (- (/ (/ 1/3 N) N) (- 1 (/ 1/2 N)))) * [exit]simplify: Simplified to (* (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) (- (/ (/ 1/3 N) N) (- 1 (/ 1/2 N)))) * [enter]simplify: Simplifying (- (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (+ (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) * [exit]simplify: Simplified to (+ (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) * * * * [misc]progress: [ 43 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) * [exit]simplify: Simplified to (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) * * * * [misc]progress: [ 44 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1/3 (* N N)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (/ (/ 1/3 N) N) 1) * [exit]simplify: Simplified to (+ (/ (/ 1/3 N) N) 1) * * * * [misc]progress: [ 45 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1/3 (* N N)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (/ (/ 1/3 N) N) 1) * [exit]simplify: Simplified to (+ (/ (/ 1/3 N) N) 1) * * * * [misc]progress: [ 46 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1/3 (* N N)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (/ (/ 1/3 N) N) 1) * [exit]simplify: Simplified to (+ (/ (/ 1/3 N) N) 1) * * * * [misc]progress: [ 47 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (/ 1/3 (pow N 2)) (- 1 (/ 1/2 N))) N) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 49 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (/ 1/3 (pow N 2)) (- 1 (/ 1/2 N))) N) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 50 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (/ 1/3 (pow N 2)) (- 1 (/ 1/2 N))) N) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 51 / 56 ] 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 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (459 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 52 / 56 ] 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 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (459 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 53 / 56 ] 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 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (459 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 54 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ 1 (* 1/3 (/ 1 (pow N 2)))) (* 1/2 (/ 1 N))) N) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (300 enodes) * [exit]simplify: Simplified to (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N) * * * * [misc]progress: [ 55 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ 1 (* 1/3 (/ 1 (pow N 2)))) (* 1/2 (/ 1 N))) N) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (300 enodes) * [exit]simplify: Simplified to (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N) * * * * [misc]progress: [ 56 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ 1 (* 1/3 (/ 1 (pow N 2)))) (* 1/2 (/ 1 N))) N) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (300 enodes) * [exit]simplify: Simplified to (/ (+ (- 1 (/ 1/2 N)) (/ (/ 1/3 N) N)) N) * * * [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 (/ (+ N 1) N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) 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]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 (+ 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 (/ (+ N 1) N)) in N * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) 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]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 (+ 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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ 1 0) 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 N) 1) (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) 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]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 (+ 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) 1) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) 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]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 (+ 1 0) 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 (+ 0 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 (- (+ (* 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 (- N)) 1) (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) 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]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 (+ -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)) 1) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) 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]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 (+ -1 0) 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 (+ 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 -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 (/ (+ N 1) N) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) 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]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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) 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]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 (+ 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) 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 N) 1) (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) 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]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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) 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]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 (+ 1 0) 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 (+ 0 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 (- (+ (* 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 (- N)) 1) (/ 1 (- N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) 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]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 (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) 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]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 (+ -1 0) 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 (+ 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 -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 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ (+ 1 N) N))) (log (cbrt (/ (+ 1 N) N)))) * [exit]simplify: Simplified to (+ (log (cbrt (/ (+ 1 N) N))) (log (cbrt (/ (+ 1 N) N)))) * [enter]simplify: Simplifying (log (cbrt (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (+ 1 N) N))) * [exit]simplify: Simplified to (log (cbrt (/ (+ 1 N) N))) * * * * [misc]progress: [ 2 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 N) N))) * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 N) N))) * [enter]simplify: Simplifying (log (sqrt (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 N) N))) * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 N) N))) * * * * [misc]progress: [ 3 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (log (/ (+ 1 N) N)) * [exit]simplify: Simplified to (log (/ (+ 1 N) N)) * * * * [misc]progress: [ 4 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ 1 N)) * [exit]simplify: Simplified to (log (+ 1 N)) * [enter]simplify: Simplifying (log (/ 1 N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 5 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ 1 N)) * [exit]simplify: Simplified to (log (+ 1 N)) * [enter]simplify: Simplifying (log N) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log N) * [exit]simplify: Simplified to (log N) * * * * [misc]progress: [ 6 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (log (/ (+ 1 N) N)) * [exit]simplify: Simplified to (log (/ (+ 1 N) N)) * * * * [misc]progress: [ 7 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (log (log (/ (+ 1 N) N))) * [exit]simplify: Simplified to (log (log (/ (+ 1 N) N))) * * * * [misc]progress: [ 10 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (+ 1 N) N) * [exit]simplify: Simplified to (/ (+ 1 N) N) * * * * [misc]progress: [ 11 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) * [enter]simplify: Simplifying (cbrt (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (cbrt (log (/ (+ 1 N) N))) * [exit]simplify: Simplified to (cbrt (log (/ (+ 1 N) N))) * * * * [misc]progress: [ 12 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (pow (log (/ (+ 1 N) N)) 3) * [exit]simplify: Simplified to (pow (log (/ (+ 1 N) N)) 3) * * * * [misc]progress: [ 13 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ 1 N) N))) * [exit]simplify: Simplified to (sqrt (log (/ (+ 1 N) N))) * [enter]simplify: Simplifying (sqrt (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ 1 N) N))) * [exit]simplify: Simplified to (sqrt (log (/ (+ 1 N) N))) * * * * [misc]progress: [ 14 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (log (/ (+ 1 N) N)) * [exit]simplify: Simplified to (log (/ (+ 1 N) N)) * * * * [misc]progress: [ 17 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (exp (/ (+ 1 N) N)) * [exit]simplify: Simplified to (exp (/ (+ 1 N) N)) * * * * [misc]progress: [ 18 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) * [exit]simplify: Simplified to (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) * [enter]simplify: Simplifying (cbrt (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ 1 N) N)) * [exit]simplify: Simplified to (cbrt (/ (+ 1 N) N)) * * * * [misc]progress: [ 19 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ N 1) N) (/ (+ N 1) N)) (/ (+ N 1) N)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (pow (/ (+ 1 N) N) 3) * [exit]simplify: Simplified to (pow (/ (+ 1 N) N) 3) * * * * [misc]progress: [ 20 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 N) N)) * [exit]simplify: Simplified to (sqrt (/ (+ 1 N) N)) * [enter]simplify: Simplifying (sqrt (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 N) N)) * [exit]simplify: Simplified to (sqrt (/ (+ 1 N) N)) * * * * [misc]progress: [ 21 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ N 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (+ 1 N)) * [exit]simplify: Simplified to (- (+ 1 N)) * [enter]simplify: Simplifying (- N) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- N) * [exit]simplify: Simplified to (- N) * * * * [misc]progress: [ 22 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 N) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 N) * [exit]simplify: Simplified to (/ 1 N) * * * * [misc]progress: [ 24 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (+ N 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ N (+ 1 N)) * [exit]simplify: Simplified to (/ N (+ 1 N)) * * * * [misc]progress: [ 25 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (cbrt (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ N (cbrt (+ 1 N))) * [exit]simplify: Simplified to (/ N (cbrt (+ 1 N))) * * * * [misc]progress: [ 26 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (sqrt (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ N (sqrt (+ 1 N))) * [exit]simplify: Simplified to (/ N (sqrt (+ 1 N))) * * * * [misc]progress: [ 27 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (+ N 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ N (+ 1 N)) * [exit]simplify: Simplified to (/ N (+ 1 N)) * * * * [misc]progress: [ 28 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (* N (+ (* N N) (- (* 1 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (* N (+ (* N N) (- 1 N))) * [exit]simplify: Simplified to (* N (+ (* N N) (- 1 N))) * * * * [misc]progress: [ 29 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (* N (- N 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (- (* N N) N) * [exit]simplify: Simplified to (- (* N N) N) * * * * [misc]progress: [ 30 / 35 ] 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 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (- (- N (log N)) (* N (* N 1/2))) * * * * [misc]progress: [ 31 / 35 ] 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 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (459 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 32 / 35 ] 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 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (459 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 33 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (/ 1 N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (log (+ 1 (/ 1 N))) * * * * [misc]progress: [ 34 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (/ 1 N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (log (+ 1 (/ 1 N))) * * * * [misc]progress: [ 35 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (/ 1 N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (cbrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3)) in N * [misc]taylor: Rewrote expression to (pow (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) 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 (log (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) 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 (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) in N * [misc]taylor: Taking taylor expansion of (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) in N * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) in N * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 N) N) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 N) 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 N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [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 (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 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 (/ 1/2 N) 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 N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [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 (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]backup-simplify: Simplify (log 1/3) into (log 1/3) * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (* 3 (- (log 1/3) (* 3 (log N)))) into (* 3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log 1/3) (* 3 (log N))))) into (exp (* 3 (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (log (exp (* 3 (- (log 1/3) (* 3 (log N)))))) into (* 3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (* 1/3 (* 3 (- (log 1/3) (* 3 (log N))))) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (exp (- (log 1/3) (* 3 (log N)))) into (exp (- (log 1/3) (* 3 (log N)))) * [misc]taylor: Taking taylor expansion of (cbrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3)) in N * [misc]taylor: Rewrote expression to (pow (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) 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 (log (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) 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 (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) in N * [misc]taylor: Taking taylor expansion of (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) in N * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) in N * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 N) N) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 N) 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 N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [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 (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 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 (/ 1/2 N) 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 N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [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 (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]backup-simplify: Simplify (log 1/3) into (log 1/3) * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (* 3 (- (log 1/3) (* 3 (log N)))) into (* 3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log 1/3) (* 3 (log N))))) into (exp (* 3 (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (log (exp (* 3 (- (log 1/3) (* 3 (log N)))))) into (* 3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (* 1/3 (* 3 (- (log 1/3) (* 3 (log N))))) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (exp (- (log 1/3) (* 3 (log N)))) into (exp (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (- (log 1/3) (* 3 (log N)))) into (exp (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1/3 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (+ (* 3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 9/2) * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 9/2) 1) 1)))) into (* -9/2 (exp (* 3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -9/2 (exp (* 3 (- (log 1/3) (* 3 (log N))))))) 1)) (pow (exp (* 3 (- (log 1/3) (* 3 (log N))))) 1)))) 1) into -9/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -9/2) (* 0 (* 3 (- (log 1/3) (* 3 (log N)))))) into (- 3/2) * [misc]backup-simplify: Simplify (* (exp (- (log 1/3) (* 3 (log N)))) (+ (* (/ (pow (- 3/2) 1) 1)))) into (* -3/2 (exp (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (* -3/2 (exp (- (log 1/3) (* 3 (log N))))) into (* -3/2 (exp (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1/3 (/ 0 1)) (* -1/2 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (+ (* 3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 45/8 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 9/2) 2) 2)) (* (/ (pow 45/8 1) 1)))) into (* 63/4 (exp (* 3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -9/2 (exp (* 3 (- (log 1/3) (* 3 (log N))))))) 2)) (pow (exp (* 3 (- (log 1/3) (* 3 (log N))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 63/4 (exp (* 3 (- (log 1/3) (* 3 (log N))))))) 1)) (pow (exp (* 3 (- (log 1/3) (* 3 (log N))))) 1)))) 2) into 45/8 * [misc]backup-simplify: Simplify (+ (* 1/3 45/8) (+ (* 0 -9/2) (* 0 (* 3 (- (log 1/3) (* 3 (log N))))))) into 15/8 * [misc]backup-simplify: Simplify (* (exp (- (log 1/3) (* 3 (log N)))) (+ (* (/ (pow (- 3/2) 2) 2)) (* (/ (pow 15/8 1) 1)))) into (* 3 (exp (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (* 3 (exp (- (log 1/3) (* 3 (log N))))) into (* 3 (exp (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (+ (* (* 3 (exp (- (log 1/3) (* 3 (log N))))) (pow N 2)) (+ (* (* -3/2 (exp (- (log 1/3) (* 3 (log N))))) N) (exp (- (log 1/3) (* 3 (log N)))))) into (- (+ (* 3 (* (exp (- (log 1/3) (* 3 (log N)))) (pow N 2))) (exp (- (log 1/3) (* 3 (log N))))) (* 3/2 (* (exp (- (log 1/3) (* 3 (log N)))) N))) * [misc]approximate: Taking taylor expansion of (cbrt (pow (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N)) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N)) 3)) in N * [misc]taylor: Rewrote expression to (pow (pow (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N)) 3)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 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 (log (pow (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N)) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 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 (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) 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 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 (/ 1/3 1) into 1/3 * [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 (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 N)) 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 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 (/ 1/2 1) into 1/2 * [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 0) 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) (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 (log (pow N 3)) into (log (pow N 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow N 3))) into (* 1/3 (log (pow N 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow N 3)))) into (pow (pow N 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N)) 3)) in N * [misc]taylor: Rewrote expression to (pow (pow (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N)) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N)) 3)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 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 (log (pow (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N)) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 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 (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) 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 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 (/ 1/3 1) into 1/3 * [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 (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 N)) 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 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 (/ 1/2 1) into 1/2 * [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 0) 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) (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 (log (pow N 3)) into (log (pow N 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow N 3))) into (* 1/3 (log (pow N 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow N 3)))) into (pow (pow N 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow N 3) 1/3) into (pow (pow N 3) 1/3) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (* 0 (log N))) into (- 3/2) * [misc]backup-simplify: Simplify (* (exp (* 3 (log N))) (+ (* (/ (pow (- 3/2) 1) 1)))) into (* -3/2 (pow N 3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -3/2 (pow N 3))) 1)) (pow (pow N 3) 1)))) 1) into -3/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -3/2) (* 0 (log (pow N 3)))) into (- 1/2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 3)))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 N) * [misc]backup-simplify: Simplify (* -1/2 N) into (* -1/2 N) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/3 1) (+ (* 1 (/ 0 1)) (* -1/2 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/8 * [misc]backup-simplify: Simplify (* (exp (* 3 (log N))) (+ (* (/ (pow (- 3/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 7/4 (pow N 3)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -3/2 (pow N 3))) 2)) (pow (pow N 3) 2))) (* 1 (/ (* 1 (pow (* 2 (* 7/4 (pow N 3))) 1)) (pow (pow N 3) 1)))) 2) into 5/8 * [misc]backup-simplify: Simplify (+ (* 1/3 5/8) (+ (* 0 -3/2) (* 0 (log (pow N 3))))) into 5/24 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 3)))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/24 1) 1)))) into (* 1/3 N) * [misc]backup-simplify: Simplify (* 1/3 N) into (* 1/3 N) * [misc]backup-simplify: Simplify (+ (* (* 1/3 (/ 1 N)) (pow (/ 1 N) 2)) (+ (* (* -1/2 (/ 1 N)) (/ 1 N)) (pow (pow (/ 1 N) 3) 1/3))) into (- (+ (pow (pow (/ 1 N) 3) 1/3) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (pow (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N))) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N))) 3)) in N * [misc]taylor: Rewrote expression to (pow (pow (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N))) 3)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 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 (log (pow (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N))) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 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 (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) 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 (- 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 (/ 1/3 -1) into -1/3 * [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 (/ -1/3 -1) into 1/3 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 (- N))) 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 (- 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 (/ 1/2 -1) into -1/2 * [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 0) 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 (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 (log (exp (* 3 (+ (log -1) (log N))))) into (* 3 (+ (log -1) (log N))) * [misc]backup-simplify: Simplify (* 1/3 (* 3 (+ (log -1) (log N)))) into (+ (log -1) (log N)) * [misc]backup-simplify: Simplify (exp (+ (log -1) (log N))) into (exp (+ (log -1) (log N))) * [misc]taylor: Taking taylor expansion of (cbrt (pow (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N))) 3)) in N * [misc]taylor: Rewrote expression to (pow (pow (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N))) 3)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 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 (log (pow (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N))) 3)) in N * [misc]taylor: Taking taylor expansion of (pow (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 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 (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) 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 (- 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 (/ 1/3 -1) into -1/3 * [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 (/ -1/3 -1) into 1/3 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 (- N))) 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 (- 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 (/ 1/2 -1) into -1/2 * [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 0) 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 (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 (log (exp (* 3 (+ (log -1) (log N))))) into (* 3 (+ (log -1) (log N))) * [misc]backup-simplify: Simplify (* 1/3 (* 3 (+ (log -1) (log N)))) into (+ (log -1) (log N)) * [misc]backup-simplify: Simplify (exp (+ (log -1) (log N))) into (exp (+ (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (+ (log -1) (log N))) into (exp (+ (log -1) (log N))) * [misc]backup-simplify: Simplify (- -1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/2 -1) (+ (* -1 (/ 0 -1)))) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow -1 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 1/2) (* 0 (+ (log -1) (log N)))) into 3/2 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log -1) (log N)))) (+ (* (/ (pow 3/2 1) 1)))) into (* 3/2 (exp (* 3 (+ (log -1) (log N))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 3/2 (exp (* 3 (+ (log -1) (log N)))))) 1)) (pow (exp (* 3 (+ (log -1) (log N)))) 1)))) 1) into 3/2 * [misc]backup-simplify: Simplify (+ (* 1/3 3/2) (* 0 (* 3 (+ (log -1) (log N))))) into 1/2 * [misc]backup-simplify: Simplify (* (exp (+ (log -1) (log N))) (+ (* (/ (pow 1/2 1) 1)))) into (* 1/2 (exp (+ (log -1) (log N)))) * [misc]backup-simplify: Simplify (* 1/2 (exp (+ (log -1) (log N)))) into (* 1/2 (exp (+ (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 (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/3 -1) (+ (* -1 (/ 0 -1)) (* -1/2 (/ 0 -1)))) into -1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -1/3) 1)) (pow -1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 5/24) (+ (* 0 1/2) (* 0 (+ (log -1) (log N))))) into 5/8 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log -1) (log N)))) (+ (* (/ (pow 3/2 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 7/4 (exp (* 3 (+ (log -1) (log N))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 3/2 (exp (* 3 (+ (log -1) (log N)))))) 2)) (pow (exp (* 3 (+ (log -1) (log N)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 7/4 (exp (* 3 (+ (log -1) (log N)))))) 1)) (pow (exp (* 3 (+ (log -1) (log N)))) 1)))) 2) into 5/8 * [misc]backup-simplify: Simplify (+ (* 1/3 5/8) (+ (* 0 3/2) (* 0 (* 3 (+ (log -1) (log N)))))) into 5/24 * [misc]backup-simplify: Simplify (* (exp (+ (log -1) (log N))) (+ (* (/ (pow 1/2 2) 2)) (* (/ (pow 5/24 1) 1)))) into (* 1/3 (exp (+ (log -1) (log N)))) * [misc]backup-simplify: Simplify (* 1/3 (exp (+ (log -1) (log N)))) into (* 1/3 (exp (+ (log -1) (log N)))) * [misc]backup-simplify: Simplify (+ (* (* 1/3 (exp (+ (log -1) (log (/ 1 (- N)))))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/2 (exp (+ (log -1) (log (/ 1 (- N)))))) (/ 1 (- N))) (exp (+ (log -1) (log (/ 1 (- N))))))) into (- (+ (* 1/3 (/ (exp (+ (log -1) (log (/ -1 N)))) (pow N 2))) (exp (+ (log -1) (log (/ -1 N))))) (* 1/2 (/ (exp (+ (log -1) (log (/ -1 N)))) N))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1 1 1) * [misc]approximate: Taking taylor expansion of (/ 1/3 N) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1/3 N) 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 N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1/3 N) 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 N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 1) (+ (* 1/3 (/ 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 1) (+ (* 1/3 (/ 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 (* 1/3 (/ 1 N)) into (/ 1/3 N) * [misc]approximate: Taking taylor expansion of (/ 1/3 (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) 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 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 (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) 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 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 (/ 1/3 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 (- (/ 0 1) (+ (* 1/3 (/ 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 1) (+ (* 1/3 (/ 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 1) (+ (* 1/3 (/ 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 1) (+ (* 1/3 (/ 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 1) (+ (* 1/3 (/ 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 1) (+ (* 1/3 (/ 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 (* 1/3 (/ 1 N)) into (/ 1/3 N) * [misc]approximate: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) 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 (- 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 (/ 1/3 -1) into -1/3 * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) 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 (- 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 (/ 1/3 -1) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 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 (- (+ (* -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) (+ (* -1/3 (/ 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 (* -1/3 (/ 1 (- N))) into (/ 1/3 N) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3) in (N) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) 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 (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) in N * [misc]taylor: Taking taylor expansion of (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) in N * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) in N * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 N) N) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 N) 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 N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [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 (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 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 (/ 1/2 N) 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 N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [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 (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]backup-simplify: Simplify (log 1/3) into (log 1/3) * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (* 3 (- (log 1/3) (* 3 (log N)))) into (* 3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log 1/3) (* 3 (log N))))) into (exp (* 3 (- (log 1/3) (* 3 (log N))))) * [misc]taylor: Taking taylor expansion of (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) 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 (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) in N * [misc]taylor: Taking taylor expansion of (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) in N * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) in N * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 N) N) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 N) 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 N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [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 (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 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 (/ 1/2 N) 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 N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [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 (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]backup-simplify: Simplify (log 1/3) into (log 1/3) * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (* 3 (- (log 1/3) (* 3 (log N)))) into (* 3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log 1/3) (* 3 (log N))))) into (exp (* 3 (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log 1/3) (* 3 (log N))))) into (exp (* 3 (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1/3 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/3 1)))) 1) into -3/2 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (+ (* 3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 9/2) * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 9/2) 1) 1)))) into (* -9/2 (exp (* 3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (* -9/2 (exp (* 3 (- (log 1/3) (* 3 (log N)))))) into (* -9/2 (exp (* 3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1/3 (/ 0 1)) (* -1/2 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/3 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1/3 1)))) 2) into 15/8 * [misc]backup-simplify: Simplify (+ (* (- 3) (log N)) (log 1/3)) into (- (log 1/3) (* 3 (log N))) * [misc]backup-simplify: Simplify (+ (* 3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 45/8 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 9/2) 2) 2)) (* (/ (pow 45/8 1) 1)))) into (* 63/4 (exp (* 3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (* 63/4 (exp (* 3 (- (log 1/3) (* 3 (log N)))))) into (* 63/4 (exp (* 3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (+ (* (* 63/4 (exp (* 3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -9/2 (exp (* 3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 63/4 (* (pow N 2) (exp (* 3 (- (log 1/3) (* 3 (log N))))))) (exp (* 3 (- (log 1/3) (* 3 (log N)))))) (* 9/2 (* N (exp (* 3 (- (log 1/3) (* 3 (log N)))))))) * [misc]approximate: Taking taylor expansion of (pow (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N)) 3) in (N) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 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 (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) 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 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 (/ 1/3 1) into 1/3 * [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 (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 N)) 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 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 (/ 1/2 1) into 1/2 * [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 0) 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) (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]taylor: Taking taylor expansion of (pow (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 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 (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1/3 (/ 1 N)) (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) 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 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 (/ 1/3 1) into 1/3 * [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 (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 N)) 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 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 (/ 1/2 1) into 1/2 * [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 0) 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) (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 (pow N 3) into (pow N 3) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (* 0 (log N))) into (- 3/2) * [misc]backup-simplify: Simplify (* (exp (* 3 (log N))) (+ (* (/ (pow (- 3/2) 1) 1)))) into (* -3/2 (pow N 3)) * [misc]backup-simplify: Simplify (* -3/2 (pow N 3)) into (* -3/2 (pow N 3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/3 1) (+ (* 1 (/ 0 1)) (* -1/2 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/8 * [misc]backup-simplify: Simplify (* (exp (* 3 (log N))) (+ (* (/ (pow (- 3/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 7/4 (pow N 3)) * [misc]backup-simplify: Simplify (* 7/4 (pow N 3)) into (* 7/4 (pow N 3)) * [misc]backup-simplify: Simplify (+ (* (* 7/4 (pow (/ 1 N) 3)) (pow (/ 1 N) 2)) (+ (* (* -3/2 (pow (/ 1 N) 3)) (/ 1 N)) (pow (/ 1 N) 3))) into (- (+ (* 7/4 (/ 1 (pow N 5))) (/ 1 (pow N 3))) (* 3/2 (/ 1 (pow N 4)))) * [misc]approximate: Taking taylor expansion of (pow (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N))) 3) in (N) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 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 (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) 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 (- 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 (/ 1/3 -1) into -1/3 * [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 (/ -1/3 -1) into 1/3 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 (- N))) 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 (- 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 (/ 1/2 -1) into -1/2 * [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 0) 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 (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]taylor: Taking taylor expansion of (pow (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N))) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 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 (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) 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 (- 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 (/ 1/3 -1) into -1/3 * [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 (/ -1/3 -1) into 1/3 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 (- N))) 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 (- 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 (/ 1/2 -1) into -1/2 * [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 0) 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 (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 (exp (* 3 (+ (log -1) (log N)))) into (exp (* 3 (+ (log -1) (log N)))) * [misc]backup-simplify: Simplify (- -1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/2 -1) (+ (* -1 (/ 0 -1)))) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow -1 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 1/2) (* 0 (+ (log -1) (log N)))) into 3/2 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log -1) (log N)))) (+ (* (/ (pow 3/2 1) 1)))) into (* 3/2 (exp (* 3 (+ (log -1) (log N))))) * [misc]backup-simplify: Simplify (* 3/2 (exp (* 3 (+ (log -1) (log N))))) into (* 3/2 (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 (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/3 -1) (+ (* -1 (/ 0 -1)) (* -1/2 (/ 0 -1)))) into -1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -1/3) 1)) (pow -1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 5/24) (+ (* 0 1/2) (* 0 (+ (log -1) (log N))))) into 5/8 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log -1) (log N)))) (+ (* (/ (pow 3/2 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 7/4 (exp (* 3 (+ (log -1) (log N))))) * [misc]backup-simplify: Simplify (* 7/4 (exp (* 3 (+ (log -1) (log N))))) into (* 7/4 (exp (* 3 (+ (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (* 7/4 (exp (* 3 (+ (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* 3/2 (exp (* 3 (+ (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 3 (+ (log -1) (log (/ 1 (- N)))))))) into (- (+ (* 7/4 (/ (exp (* 3 (+ (log -1) (log (/ -1 N))))) (pow N 2))) (exp (* 3 (+ (log -1) (log (/ -1 N)))))) (* 3/2 (/ (exp (* 3 (+ (log -1) (log (/ -1 N))))) N))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (/ 1/3 N) N) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 N) N) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 N) 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 N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [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 (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 N) N) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 N) 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 N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [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 (/ 1/3 1) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 1) (+ (* 1/3 (/ 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) (+ (* 1/3 (/ 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 (* 1/3 (pow (/ 1 N) 2)) into (/ 1/3 (pow N 2)) * [misc]approximate: Taking taylor expansion of (/ (/ 1/3 (/ 1 N)) (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) 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 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 (/ 1/3 1) into 1/3 * [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 (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 N)) 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 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 (/ 1/3 1) into 1/3 * [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 (/ 1/3 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 (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 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 1) (+ (* 1/3 (/ 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 1) (+ (* 1/3 (/ 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 1) (+ (* 1/3 (/ 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 1) (+ (* 1/3 (/ 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 1) (+ (* 1/3 (/ 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 1) (+ (* 1/3 (/ 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 1) (+ (* 1/3 (/ 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 1) (+ (* 1/3 (/ 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 (* 1/3 (pow (/ 1 N) 2)) into (/ 1/3 (pow N 2)) * [misc]approximate: Taking taylor expansion of (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) 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 (- 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 (/ 1/3 -1) into -1/3 * [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 (/ -1/3 -1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ (/ 1/3 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1/3 (/ 1 (- N))) 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 (- 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 (/ 1/3 -1) into -1/3 * [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 (/ -1/3 -1) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1/3 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1/3 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1/3 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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) (+ (* 1/3 (/ 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/3 (/ 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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) (+ (* 1/3 (/ 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 (- (+ (* -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) (+ (* -1/3 (/ 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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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) (+ (* 1/3 (/ 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 (* 1/3 (pow (/ 1 (- N)) 2)) into (/ 1/3 (pow N 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (log (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * [exit]simplify: Simplified to (log (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * * * * [misc]progress: [ 4 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * [exit]simplify: Simplified to (exp (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * [exit]simplify: Simplified to (exp (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * * * * [misc]progress: [ 5 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (* (cbrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) (cbrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N))) 3)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N)) (cbrt (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N)) (cbrt (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N))) * [enter]simplify: Simplifying (cbrt (pow (cbrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * [exit]simplify: Simplified to (cbrt (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * * * * [misc]progress: [ 6 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (sqrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N)) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N)) * [enter]simplify: Simplifying (cbrt (pow (sqrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N)) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N)) * * * * [misc]progress: [ 7 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow 1 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 8 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * [exit]simplify: Simplified to (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) * [exit]simplify: Simplified to (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) * [enter]simplify: Simplifying (cbrt (pow (/ 1 N) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ 1 N) * [exit]simplify: Simplified to (/ 1 N) * * * * [misc]progress: [ 9 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (438 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) (* N N))) * [exit]simplify: Simplified to (cbrt (/ (* (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) (* N N))) * [enter]simplify: Simplifying (cbrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * [exit]simplify: Simplified to (cbrt (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * * * * [misc]progress: [ 10 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3)) (cbrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N))) * [exit]simplify: Simplified to (cbrt (* (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N))) * [enter]simplify: Simplifying (cbrt (cbrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * [exit]simplify: Simplified to (cbrt (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * * * * [misc]progress: [ 11 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (* (cbrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) (cbrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N))) 3)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N)) (cbrt (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N)) (cbrt (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N))) * [enter]simplify: Simplifying (cbrt (pow (cbrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * [exit]simplify: Simplified to (cbrt (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * * * * [misc]progress: [ 12 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (sqrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N)) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N)) * [enter]simplify: Simplifying (cbrt (pow (sqrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N)) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N)) * * * * [misc]progress: [ 13 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow 1 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 14 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * [exit]simplify: Simplified to (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) * [exit]simplify: Simplified to (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) * [enter]simplify: Simplifying (cbrt (pow (/ 1 N) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ 1 N) * [exit]simplify: Simplified to (/ 1 N) * * * * [misc]progress: [ 15 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * [exit]simplify: Simplified to (cbrt (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * [enter]simplify: Simplifying (cbrt (* (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (438 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) (* N N))) * [exit]simplify: Simplified to (cbrt (/ (* (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) (* N N))) * * * * [misc]progress: [ 16 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (pow (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) 3))) * [exit]simplify: Simplified to (cbrt (sqrt (pow (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) 3))) * [enter]simplify: Simplifying (cbrt (sqrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (pow (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) 3))) * [exit]simplify: Simplified to (cbrt (sqrt (pow (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) 3))) * * * * [misc]progress: [ 17 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 18 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * [exit]simplify: Simplified to (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) * [exit]simplify: Simplified to (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) * [enter]simplify: Simplifying (cbrt (pow N 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to N * [exit]simplify: Simplified to N * * * * [misc]progress: [ 19 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3))) (cbrt (cbrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) (cbrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N))) * [exit]simplify: Simplified to (* (cbrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) (cbrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N))) * [enter]simplify: Simplifying (cbrt (cbrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * [exit]simplify: Simplified to (cbrt (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * * * * [misc]progress: [ 20 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3)) (cbrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3))) (cbrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * [exit]simplify: Simplified to (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3) * [exit]simplify: Simplified to (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3) * * * * [misc]progress: [ 21 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * [exit]simplify: Simplified to (sqrt (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * [enter]simplify: Simplifying (sqrt (cbrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * [exit]simplify: Simplified to (sqrt (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * * * * [misc]progress: [ 23 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1/3 N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (/ 1/3 N)) * [exit]simplify: Simplified to (log (/ 1/3 N)) * * * * [misc]progress: [ 26 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1/3 N)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (/ 1/3 N)) * [exit]simplify: Simplified to (exp (/ 1/3 N)) * * * * [misc]progress: [ 27 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) * [exit]simplify: Simplified to (* (cbrt (/ 1/3 N)) (cbrt (/ 1/3 N))) * [enter]simplify: Simplifying (cbrt (/ 1/3 N)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ 1/3 N)) * [exit]simplify: Simplified to (cbrt (/ 1/3 N)) * * * * [misc]progress: [ 28 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1/3 N) (/ 1/3 N)) (/ 1/3 N)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (pow (/ 1/3 N) 3) * [exit]simplify: Simplified to (pow (/ 1/3 N) 3) * * * * [misc]progress: [ 29 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1/3 N)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ 1/3 N)) * [exit]simplify: Simplified to (sqrt (/ 1/3 N)) * [enter]simplify: Simplifying (sqrt (/ 1/3 N)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ 1/3 N)) * [exit]simplify: Simplified to (sqrt (/ 1/3 N)) * * * * [misc]progress: [ 30 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 1/3) * [exit]simplify: Simplified to (- 1/3) * [enter]simplify: Simplifying (- N) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- N) * [exit]simplify: Simplified to (- N) * * * * [misc]progress: [ 31 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 N) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 N) * [exit]simplify: Simplified to (/ 1 N) * * * * [misc]progress: [ 33 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N 1/3) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ N 1/3) * [exit]simplify: Simplified to (/ N 1/3) * * * * [misc]progress: [ 34 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (* 3 (log (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N))) * [exit]simplify: Simplified to (* 3 (log (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N))) * * * * [misc]progress: [ 35 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (* 3 (log (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N))) * [exit]simplify: Simplified to (* 3 (log (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N))) * * * * [misc]progress: [ 36 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 3 * [exit]simplify: Simplified to 3 * * * * [misc]progress: [ 37 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) (cbrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N))) 3) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * [exit]simplify: Simplified to (* (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * [exit]simplify: Simplified to (* (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * [enter]simplify: Simplifying (pow (cbrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 38 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N) (sqrt (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N))) * [exit]simplify: Simplified to (* (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N) (sqrt (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N))) * [enter]simplify: Simplifying (pow (sqrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N) (sqrt (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N))) * [exit]simplify: Simplified to (* (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N) (sqrt (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N))) * * * * [misc]progress: [ 39 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * [exit]simplify: Simplified to (pow (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) 3) * [exit]simplify: Simplified to (pow (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) 3) * * * * [misc]progress: [ 40 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) 3) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * [exit]simplify: Simplified to (pow (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) 3) * [exit]simplify: Simplified to (pow (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) 3) * [enter]simplify: Simplifying (pow (/ 1 N) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ (/ 1 N) (* N N)) * [exit]simplify: Simplified to (/ (/ 1 N) (* N N)) * * * * [misc]progress: [ 41 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (436 enodes) * [exit]simplify: Simplified to (* (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) (* N N))) * [exit]simplify: Simplified to (* (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) (* N N))) * * * * [misc]progress: [ 42 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) 3) * [exit]simplify: Simplified to (* (log (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) 3) * * * * [misc]progress: [ 44 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (exp (pow (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) 3)) * [exit]simplify: Simplified to (exp (pow (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) 3)) * * * * [misc]progress: [ 45 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3)) (cbrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * [exit]simplify: Simplified to (/ (* (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) (* N N)) * [exit]simplify: Simplified to (/ (* (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N)))) (* N N)) * [enter]simplify: Simplifying (cbrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 46 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3) (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3)) (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (372 enodes) * [exit]simplify: Simplified to (pow (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3) 3) * [exit]simplify: Simplified to (pow (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3) 3) * * * * [misc]progress: [ 47 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) (cbrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N))) 3) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * [exit]simplify: Simplified to (* (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * [exit]simplify: Simplified to (* (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N)) * [enter]simplify: Simplifying (pow (cbrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 48 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N) (sqrt (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N))) * [exit]simplify: Simplified to (* (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N) (sqrt (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N))) * [enter]simplify: Simplifying (pow (sqrt (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) 3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N) (sqrt (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N))) * [exit]simplify: Simplified to (* (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N) (sqrt (/ (- (/ 1/3 (* N N)) (- (/ 1/2 N) 1)) N))) * * * * [misc]progress: [ 49 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * [exit]simplify: Simplified to (pow (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) 3) * [exit]simplify: Simplified to (pow (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) 3) * * * * [misc]progress: [ 50 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) 3) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * [exit]simplify: Simplified to (pow (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) 3) * [exit]simplify: Simplified to (pow (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) 3) * [enter]simplify: Simplifying (pow (/ 1 N) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ (/ 1 N) (* N N)) * [exit]simplify: Simplified to (/ (/ 1 N) (* N N)) * * * * [misc]progress: [ 51 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) 3) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * [exit]simplify: Simplified to (pow (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) 3) * [exit]simplify: Simplified to (pow (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) 3) * [enter]simplify: Simplifying (pow N 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (pow N 3) * [exit]simplify: Simplified to (pow N 3) * * * * [misc]progress: [ 52 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (436 enodes) * [exit]simplify: Simplified to (* (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) (* N N))) * [exit]simplify: Simplified to (* (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) (* N N))) * * * * [misc]progress: [ 53 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (sqrt (pow (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) 3)) * [exit]simplify: Simplified to (sqrt (pow (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) 3)) * [enter]simplify: Simplifying (sqrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (sqrt (pow (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) 3)) * [exit]simplify: Simplified to (sqrt (pow (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) 3)) * * * * [misc]progress: [ 55 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ 1/3 N) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (log (/ 1/3 (* N N))) * [exit]simplify: Simplified to (log (/ 1/3 (* N N))) * * * * [misc]progress: [ 58 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ 1/3 N) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (exp (/ 1/3 (* N N))) * [exit]simplify: Simplified to (exp (/ 1/3 (* N N))) * * * * [misc]progress: [ 59 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 1/3 N) N)) (cbrt (/ (/ 1/3 N) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1/3 (* N N))) (cbrt (/ 1/3 (* N N)))) * [exit]simplify: Simplified to (* (cbrt (/ 1/3 (* N N))) (cbrt (/ 1/3 (* N N)))) * [enter]simplify: Simplifying (cbrt (/ (/ 1/3 N) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ 1/3 (* N N))) * [exit]simplify: Simplified to (cbrt (/ 1/3 (* N N))) * * * * [misc]progress: [ 60 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ 1/3 N) N) (/ (/ 1/3 N) N)) (/ (/ 1/3 N) N)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * * [misc]simplify: iters left: 1 (455 enodes) * [exit]simplify: Simplified to (pow (/ 1/3 (* N N)) 3) * [exit]simplify: Simplified to (pow (/ 1/3 (* N N)) 3) * * * * [misc]progress: [ 61 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1/3 N) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ 1/3 (* N N))) * [exit]simplify: Simplified to (sqrt (/ 1/3 (* N N))) * [enter]simplify: Simplifying (sqrt (/ (/ 1/3 N) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ 1/3 (* N N))) * [exit]simplify: Simplified to (sqrt (/ 1/3 (* N N))) * * * * [misc]progress: [ 62 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1/3 N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (- (/ 1/3 N)) * [exit]simplify: Simplified to (- (/ 1/3 N)) * [enter]simplify: Simplifying (- N) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- N) * [exit]simplify: Simplified to (- N) * * * * [misc]progress: [ 63 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 N) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 N) * [exit]simplify: Simplified to (/ 1 N) * * * * [misc]progress: [ 65 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (/ 1/3 N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (* N (/ N 1/3)) * [exit]simplify: Simplified to (* N (/ N 1/3)) * * * * [misc]progress: [ 66 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (cbrt (/ 1/3 N))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ N (cbrt (/ 1/3 N))) * [exit]simplify: Simplified to (/ N (cbrt (/ 1/3 N))) * * * * [misc]progress: [ 67 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (sqrt (/ 1/3 N))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ N (sqrt (/ 1/3 N))) * [exit]simplify: Simplified to (/ N (sqrt (/ 1/3 N))) * * * * [misc]progress: [ 68 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (/ 1/3 N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (* N (/ N 1/3)) * [exit]simplify: Simplified to (* N (/ N 1/3)) * * * * [misc]progress: [ 69 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (/ 1 N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (* N N) * [exit]simplify: Simplified to (* N N) * * * * [misc]progress: [ 70 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* N N) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* N N) * [exit]simplify: Simplified to (* N N) * * * * [misc]progress: [ 71 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3 (* (exp (- (log 1/3) (* 3 (log N)))) (pow N 2))) (exp (- (log 1/3) (* 3 (log N))))) (* 3/2 (* (exp (- (log 1/3) (* 3 (log N)))) N))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (430 enodes) * [exit]simplify: Simplified to (* (+ (* N (* N 3)) (- 1 (* 3/2 N))) (/ (/ 1/3 N) (* N N))) * * * * [misc]progress: [ 72 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow (pow (/ 1 N) 3) 1/3) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))) * * * * [misc]progress: [ 73 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ (exp (+ (log -1) (log (/ -1 N)))) (pow N 2))) (exp (+ (log -1) (log (/ -1 N))))) (* 1/2 (/ (exp (+ (log -1) (log (/ -1 N)))) N))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (412 enodes) * [exit]simplify: Simplified to (+ (* (- (/ 1/3 N) 1/2) (* (/ -1 N) (/ -1 N))) (/ 1 N)) * * * * [misc]progress: [ 74 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 75 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 76 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 77 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (+ (* 63/4 (* (pow N 2) (exp (* 3 (- (log 1/3) (* 3 (log N))))))) (exp (* 3 (- (log 1/3) (* 3 (log N)))))) (* 9/2 (* N (exp (* 3 (- (log 1/3) (* 3 (log N))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (460 enodes) * [exit]simplify: Simplified to (cbrt (* (pow (/ 1/3 (pow N 3)) 3) (- (* (* N N) 63/4) (- (* N 9/2) 1)))) * * * * [misc]progress: [ 78 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (+ (* 7/4 (/ 1 (pow N 5))) (/ 1 (pow N 3))) (* 3/2 (/ 1 (pow N 4))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (cbrt (- (+ (/ (/ 1 N) (* N N)) (/ 7/4 (pow N 5))) (/ 3/2 (pow N 4)))) * * * * [misc]progress: [ 79 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (+ (* 7/4 (/ (exp (* 3 (+ (log -1) (log (/ -1 N))))) (pow N 2))) (exp (* 3 (+ (log -1) (log (/ -1 N)))))) (* 3/2 (/ (exp (* 3 (+ (log -1) (log (/ -1 N))))) N)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (419 enodes) * [exit]simplify: Simplified to (cbrt (+ (/ (pow (* (/ -1 N) -1) 3) (/ N (- (/ 7/4 N) 3/2))) (pow (* (/ -1 N) -1) 3))) * * * * [misc]progress: [ 80 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (+ (/ 1/3 (pow N 2)) (- 1 (/ 1/2 N))) N) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 81 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (+ (/ 1/3 (pow N 2)) (- 1 (/ 1/2 N))) N) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 82 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (/ (+ (/ 1/3 (pow N 2)) (- 1 (/ 1/2 N))) N) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # #) * [misc]regimes: searching between 0.00046851764785671435 and 3.3630012552521293e-08 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]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]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 29735343.12905471 and 2133.8913572266565 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]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]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 0.0004685176478561018 and 3.363001331930002e-08 on (log (/ (+ N 1) 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: 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 6 additional inputs, on iter 2 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 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 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 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 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 * * * * [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 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 * * * * [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 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 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 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 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 2 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 8 additional inputs, on iter 3 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 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 * * * * [misc]points: Sampling 4 additional inputs, on iter 5 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 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 1.000468627419392 and 1.0000000336300139 on (/ (+ N 1) 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 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 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 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 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 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 9 additional inputs, on iter 1 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 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 * * * * [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 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 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 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 9 additional inputs, on iter 1 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 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 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 4 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 * * * * [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 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [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 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 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 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 * * * * [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 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 9 additional inputs, on iter 1 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 6 additional inputs, on iter 2 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 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 18 points with exact outputs * [misc]regimes: searching between 0.0004685176478682358 and 3.363001324198217e-08 on (cbrt (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3)) * * * * [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 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 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 2 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 6 additional inputs, on iter 3 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 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 * * * * [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 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 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 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 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 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 * * * * [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 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 12 additional inputs, on iter 1 have 4 / 16 * * * * [misc]points: Computing exacts for 12 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 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 4 additional inputs, on iter 1 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 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 * * * * [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 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 9 additional inputs, on iter 1 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 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 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 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]regimes: searching between 1.0284374027366486e-10 and 3.8034798076145525e-23 on (pow (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 N))) N) 3) * * * * [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 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 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 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 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 * * * * [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 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [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 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 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 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 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 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 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 2 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 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 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]regimes: searching between 0.0004685176478682357 and 3.363001324198217e-08 on (/ (+ (/ (/ 1/3 N) N) (- 1 (/ 1/2 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 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 * * * * [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 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 9 additional inputs, on iter 1 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 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 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 9 additional inputs, on iter 1 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 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 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 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 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 * * * * [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 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 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 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 4 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 18 points with exact outputs * [misc]regimes: searching between 0.0004685176478682357 and 3.363001324198217e-08 on (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 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 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 6 additional inputs, on iter 2 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 3 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 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 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 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 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 * * * * [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 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 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 * * * * [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 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 * * * * [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 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 6 additional inputs, on iter 2 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 3 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 * * * * [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 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 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 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 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]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 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 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 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 7 additional inputs, on iter 2 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 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 * * * * [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 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 4 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 5 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 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 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 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 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 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [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 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 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 * * * * [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 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 * * * * [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 7 additional inputs, on iter 2 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 4 additional inputs, on iter 3 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 4 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 5 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 * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 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 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 6 additional inputs, on iter 2 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 3 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 4 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 * * * * [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 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 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 4 additional inputs, on iter 1 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 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 16 points with exact outputs * [misc]regimes: Found splitpoints: (#s(sp 0 (- (log (+ N 1)) (log N)) 4.7927010167394396e-08) #s(sp 1 (- (log (+ N 1)) (log N)) +nan.0)) , with alts (# #) * [enter]simplify: Simplifying (if (<= (- (log (+ N 1)) (log N)) 4.7927010167394396e-08) (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * [exit]simplify: Simplified to (if (<= (- (log (+ 1 N)) (log N)) 4.7927010167394396e-08) (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) (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 4045 additional inputs, on iter 1 have 3955 / 8000 * * * * [misc]points: Computing exacts on every 252 of 4045 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 126 of 4045 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 4045 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 4045 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 4045 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 4045 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 4045 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts for 4045 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 2050 additional inputs, on iter 2 have 5950 / 8000 * * * * [misc]points: Computing exacts on every 128 of 2050 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 64 of 2050 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 2050 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 2050 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 2050 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 2050 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 2050 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts for 2050 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 1029 additional inputs, on iter 3 have 6971 / 8000 * * * * [misc]points: Computing exacts on every 64 of 1029 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 1029 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 1029 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 1029 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 1029 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 1029 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts for 1029 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 524 additional inputs, on iter 4 have 7476 / 8000 * * * * [misc]points: Computing exacts on every 32 of 524 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 524 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 524 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 524 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 524 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts for 524 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 274 additional inputs, on iter 5 have 7726 / 8000 * * * * [misc]points: Computing exacts on every 17 of 274 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 274 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 274 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 274 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts for 274 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 135 additional inputs, on iter 6 have 7865 / 8000 * * * * [misc]points: Computing exacts on every 8 of 135 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 135 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 135 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts for 135 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 60 additional inputs, on iter 7 have 7940 / 8000 * * * * [misc]points: Computing exacts on every 3 of 60 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts for 60 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 33 additional inputs, on iter 8 have 7967 / 8000 * * * * [misc]points: Computing exacts on every 2 of 33 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Computing exacts for 33 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 17 additional inputs, on iter 9 have 7983 / 8000 * * * * [misc]points: Computing exacts for 17 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 10 have 7994 / 8000 * * * * [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 11 have 7997 / 8000 * * * * [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 8000 points with exact outputs