* [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 122 additional inputs, on iter 1 have 134 / 256 * * * * [misc]points: Computing exacts on every 7 of 122 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 122 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 122 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 63 additional inputs, on iter 2 have 193 / 256 * * * * [misc]points: Computing exacts on every 3 of 63 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 63 points * * * * [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 15 additional inputs, on iter 4 have 241 / 256 * * * * [misc]points: Computing exacts for 15 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 5 have 248 / 256 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 257 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (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 (- (+ N (* 1/3 (pow N 3))) (* 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) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) * [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 (- (+ (/ 1 N) (log -1)) (+ (* 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) * [misc]simplify: Simplified (2 1) to (λ (N) (log (/ (+ 1 N) N))) * * * * [misc]progress: [ 2 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 40 ] simplifiying candidate # * * * * [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 N)) (sqrt (log (+ 1 N)))) * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (sqrt (log N)) (sqrt (log (+ 1 N)))) (- (sqrt (log (+ N 1))) (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))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (+ (sqrt (log (+ N 1))) (sqrt (log N))) (- (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)) * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (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)) * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (log (+ 1 N)) (log N)))) * * * * [misc]progress: [ 15 / 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)))) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (- (log (cbrt (+ N 1))) (log N)))) * * * * [misc]progress: [ 16 / 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))) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log (sqrt (+ 1 N))) (- (log (sqrt (+ N 1))) (log N)))) * * * * [misc]progress: [ 17 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (log 1) (- (log (+ N 1)) (log N)))) * * * * [misc]progress: [ 18 / 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))) * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (+ 1 (pow N 3))) (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)))) * * * * [misc]progress: [ 19 / 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)) * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (- (* N N) 1)) (+ (log (- N 1)) (log N)))) * * * * [misc]progress: [ 20 / 40 ] simplifiying candidate # * * * * [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)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (log (cbrt (+ N 1)))) (log 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))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ (log (sqrt (+ 1 N))) (log (sqrt (+ N 1)))) (log 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) * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (+ (log 1) (log (+ N 1))) (log 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))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (- (log (+ 1 (pow N 3))) (log (+ (* N N) (- (* 1 1) (* N 1))))) (log 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)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (- (log (- (* N N) 1)) (log (- N 1))) (log N))) * * * * [misc]progress: [ 26 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (+ N 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ 1 N) * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (log (+ 1 N)) (log N))) * * * * [misc]progress: [ 29 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 40 ] simplifiying candidate # * * * * [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 (72 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (- (- N (log N)) (* (* N 1/2) N)) * [misc]simplify: Simplified (2) to (λ (N) (- (- N (log N)) (* (* N 1/2) N))) * * * * [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 (105 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * [exit]simplify: Simplified to (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* 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 (105 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * [exit]simplify: Simplified to (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) * * * * [misc]progress: [ 38 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (- N (* (* N N) (- 1/2 (* N 1/3)))) * [misc]simplify: Simplified (2 1) to (λ (N) (- (- N (* (* N N) (- 1/2 (* N 1/3)))) (log N))) * * * * [misc]progress: [ 39 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * [exit]simplify: Simplified to (- (+ (log N) (/ 1 N)) (/ 1/2 (* N N))) * [misc]simplify: Simplified (2 1) to (λ (N) (- (- (+ (log N) (/ 1 N)) (/ 1/2 (* N N))) (log N))) * * * * [misc]progress: [ 40 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (393 enodes) * [exit]simplify: Simplified to (- (+ (/ 1 N) (log N)) (/ 1/2 (* N N))) * [misc]simplify: Simplified (2 1) to (λ (N) (- (- (+ (/ 1 N) (log N)) (/ 1/2 (* N N))) (log N))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 2 1 2) * [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: [ 2 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (- 1/2 (/ 1/3 N)) (* N N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 N)) (* N N)) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 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 (/ 1/3 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 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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) into -1/3 * [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 (/ (- 1/2 (/ 1/3 N)) (* N N)) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 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 (/ 1/3 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 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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) into -1/3 * [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 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [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 1) (+ (* 1/3 (/ 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/3 (/ 0 1)) (* 1/2 (/ 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 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)) (* 1/2 (/ 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 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)) (* 1/2 (/ 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 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)) (* 1/2 (/ 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 (+ 0 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)) (* 1/2 (/ 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)) (* 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 0) (+ (* 1 0) (+ (* 0 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)) (* 1/2 (/ 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 (+ (* 1/2 (pow (/ 1 N) 2)) (* -1/3 (pow (/ 1 N) 3))) into (- (* 1/2 (/ 1 (pow N 2))) (* 1/3 (/ 1 (pow N 3)))) * [misc]approximate: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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) (/ 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 (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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) (/ 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 (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -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 (- (/ -1/3 1) (+ (* 1/2 (/ 0 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 (+ 0 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) (+ (* 1/2 (/ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 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) (+ (* 1/2 (/ 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 (+ 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 (- (+ (* 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) (+ (* 1/2 (/ 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 (+ 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 (- (+ (* 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) (+ (* 1/2 (/ 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 (+ 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 (- (+ (* 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) (+ (* 1/2 (/ 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 (+ 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 (- (+ (* 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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) 3)) (* 1/2 (pow (/ 1 N) 2))) into (- (* 1/2 (/ 1 (pow N 2))) (* 1/3 (/ 1 (pow N 3)))) * [misc]approximate: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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)) (/ 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 (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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)) (/ 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 (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- -1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 0 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 (- (/ 1/3 1) (+ (* 1/2 (/ 0 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 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) (+ (* 1/2 (/ 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 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) (+ (* 1/2 (/ 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 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) (+ (* 1/2 (/ 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 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) (+ (* 1/2 (/ 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 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) (+ (* 1/2 (/ 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 (+ 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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)) 3)) (* 1/2 (pow (/ 1 (- N)) 2))) into (- (* 1/2 (/ 1 (pow N 2))) (* 1/3 (/ 1 (pow N 3)))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N 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 (/ (- 1/2 (/ 1/3 N)) (* N N)) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 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 (/ 1/3 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 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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) into -1/3 * [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 N) (/ (- 1/2 (/ 1/3 N)) (* N 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 (/ (- 1/2 (/ 1/3 N)) (* N N)) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 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 (/ 1/3 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 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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) into -1/3 * [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 1/3) 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 (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [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 -1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [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) 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)) (* 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 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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) (/ 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 (+ 1/2 0) into 1/2 * [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 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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) (/ 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 (+ 1/2 0) into 1/2 * [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 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -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 (- (/ -1/3 1) (+ (* 1/2 (/ 0 1)))) into -1/3 * [misc]backup-simplify: Simplify (- -1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 0 1/3) 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 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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)) (/ 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 (+ 1/2 0) into 1/2 * [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 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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)) (/ 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 (+ 1/2 0) into 1/2 * [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 -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -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 -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- -1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 0 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 (- (/ 1/3 1) (+ (* 1/2 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) 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: simplifying candidates * * * * [misc]progress: [ 1 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1/2 (/ 1/3 N))) (log (* N N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (- (log (- 1/2 (/ 1/3 N))) (+ (log N) (log N))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (- (/ 1 N) (exp (- (log (- 1/2 (/ 1/3 N))) (+ (log N) (log N)))))) * * * * [misc]progress: [ 13 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1/2 (/ 1/3 N)) (- 1/2 (/ 1/3 N))) (- 1/2 (/ 1/3 N))) (* (* (* N N) (* N N)) (* N N))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (394 enodes) * [exit]simplify: Simplified to (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3) * [misc]simplify: Simplified (2 2 1) to (λ (N) (- (/ 1 N) (cbrt (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3)))) * * * * [misc]progress: [ 16 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 59 ] simplifiying candidate # * [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)) * [misc]simplify: Simplified (2 2 1) to (λ (N) (- (/ 1 N) (- (/ 1/2 (* N N)) (/ (/ 1/3 N) (* N N))))) * * * * [misc]progress: [ 21 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1/2 (/ 1/3 N))) (cbrt (- 1/2 (/ 1/3 N)))) N) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1/2 (/ 1/3 N))) N) (cbrt (- 1/2 (/ 1/3 N)))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (- (/ 1 N) (* (* (/ (cbrt (- 1/2 (/ 1/3 N))) N) (cbrt (- 1/2 (/ 1/3 N)))) (/ (cbrt (- 1/2 (/ 1/3 N))) N)))) * [enter]simplify: Simplifying (/ (cbrt (- 1/2 (/ 1/3 N))) N) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1/2 (/ 1/3 N))) N) * [misc]simplify: Simplified (2 2 2) to (λ (N) (- (/ 1 N) (* (/ (* (cbrt (- 1/2 (/ 1/3 N))) (cbrt (- 1/2 (/ 1/3 N)))) N) (/ (cbrt (- 1/2 (/ 1/3 N))) N)))) * * * * [misc]progress: [ 22 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1/2 (/ 1/3 N))) N) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1/2 (/ 1/3 N))) N) * [misc]simplify: Simplified (2 2 1) to (λ (N) (- (/ 1 N) (* (/ (sqrt (- 1/2 (/ 1/3 N))) N) (/ (sqrt (- 1/2 (/ 1/3 N))) N)))) * [enter]simplify: Simplifying (/ (sqrt (- 1/2 (/ 1/3 N))) N) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1/2 (/ 1/3 N))) N) * [misc]simplify: Simplified (2 2 2) to (λ (N) (- (/ 1 N) (* (/ (sqrt (- 1/2 (/ 1/3 N))) N) (/ (sqrt (- 1/2 (/ 1/3 N))) N)))) * * * * [misc]progress: [ 23 / 59 ] 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) * [misc]simplify: Simplified (2 2 1) to (λ (N) (- (/ 1 N) (* (/ 1 N) (/ (- 1/2 (/ 1/3 N)) N)))) * [enter]simplify: Simplifying (/ (- 1/2 (/ 1/3 N)) N) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (- 1/2 (/ 1/3 N)) N) * [misc]simplify: Simplified (2 2 2) to (λ (N) (- (/ 1 N) (* (/ 1 N) (/ (- 1/2 (/ 1/3 N)) N)))) * * * * [misc]progress: [ 24 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1/2 (/ 1/3 N))) (cbrt (- 1/2 (/ 1/3 N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1/2 (/ 1/3 N))) (cbrt (- 1/2 (/ 1/3 N)))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (- (/ 1 N) (/ (* (cbrt (- 1/2 (/ 1/3 N))) (cbrt (- 1/2 (/ 1/3 N)))) (/ (* N N) (cbrt (- 1/2 (/ 1/3 N))))))) * * * * [misc]progress: [ 29 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1/2 (/ 1/3 N))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (- 1/2 (/ 1/3 N))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (- (/ 1 N) (/ (sqrt (- 1/2 (/ 1/3 N))) (/ (* N N) (sqrt (- 1/2 (/ 1/3 N))))))) * * * * [misc]progress: [ 30 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow 1/2 3) (pow (/ 1/3 N) 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (229 enodes) * [exit]simplify: Simplified to (- (pow 1/2 3) (pow (/ 1/3 N) 3)) * [misc]simplify: Simplified (2 2 1) to (λ (N) (- (/ 1 N) (/ (- (pow 1/2 3) (pow (/ 1/3 N) 3)) (* (* N N) (+ (* 1/2 1/2) (+ (* (/ 1/3 N) (/ 1/3 N)) (* 1/2 (/ 1/3 N)))))))) * * * * [misc]progress: [ 32 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 1/2) (* (/ 1/3 N) (/ 1/3 N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (- (* 1/2 1/2) (* (/ 1/3 N) (/ 1/3 N))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (- (/ 1 N) (/ (- (* 1/2 1/2) (* (/ 1/3 N) (/ 1/3 N))) (* (* N N) (+ 1/2 (/ 1/3 N)))))) * * * * [misc]progress: [ 33 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ 1 N)) (exp (/ (- 1/2 (/ 1/3 N)) (* N N)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (exp (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))) * [misc]simplify: Simplified (2 1) to (λ (N) (log (exp (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))))) * * * * [misc]progress: [ 34 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 (* N N)) (* N (- 1/2 (/ 1/3 N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (+ 1/3 (* N (- N 1/2))) * [misc]simplify: Simplified (2 1) to (λ (N) (/ (+ 1/3 (* N (- N 1/2))) (* N (* N N)))) * [enter]simplify: Simplifying (* N (* N N)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (pow N 3) * [misc]simplify: Simplified (2 2) to (λ (N) (/ (+ 1/3 (* N (- N 1/2))) (pow N 3))) * * * * [misc]progress: [ 41 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 N)) (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N))) (sqrt (/ 1 N))) * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N))) (sqrt (/ 1 N))) (- (sqrt (/ 1 N)) (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * [enter]simplify: Simplifying (- (sqrt (/ 1 N)) (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 1 N)) (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N)))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (+ (sqrt (/ 1 N)) (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N)))) (- (sqrt (/ 1 N)) (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 46 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N)) * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N)) (- (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N)))) * [enter]simplify: Simplifying (- (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N)) * [misc]simplify: Simplified (2 2) to (λ (N) (* (+ (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N)) (- (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N)))) * * * * [misc]progress: [ 47 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))) * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))))) * * * * [misc]progress: [ 48 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))) * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))))) * * * * [misc]progress: [ 49 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1/3 N) (* N N)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1/3 N) (* N N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (/ 1 N) (/ 1/2 (* N N))) (/ (/ 1/3 N) (* N N)))) * * * * [misc]progress: [ 50 / 59 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/3 N) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 1/3 N) * [misc]simplify: Simplified (2 2 1 2) to (λ (N) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) * * * * [misc]progress: [ 52 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/3 N) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 1/3 N) * [misc]simplify: Simplified (2 2 1 2) to (λ (N) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) * * * * [misc]progress: [ 53 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/3 N) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 1/3 N) * [misc]simplify: Simplified (2 2 1 2) to (λ (N) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) * * * * [misc]progress: [ 54 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ 1 (pow N 2))) (* 1/3 (/ 1 (pow N 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: iters left: 1 (311 enodes) * [exit]simplify: Simplified to (/ (- 1/2 (/ 1/3 N)) (* N N)) * [misc]simplify: Simplified (2 2) to (λ (N) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) * * * * [misc]progress: [ 55 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ 1 (pow N 2))) (* 1/3 (/ 1 (pow N 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: iters left: 1 (311 enodes) * [exit]simplify: Simplified to (/ (- 1/2 (/ 1/3 N)) (* N N)) * [misc]simplify: Simplified (2 2) to (λ (N) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) * * * * [misc]progress: [ 56 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ 1 (pow N 2))) (* 1/3 (/ 1 (pow N 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: iters left: 1 (311 enodes) * [exit]simplify: Simplified to (/ (- 1/2 (/ 1/3 N)) (* N N)) * [misc]simplify: Simplified (2 2) to (λ (N) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) * * * * [misc]progress: [ 57 / 59 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 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 (105 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ 1/3 N) N) (- (/ 1/2 N) 1)) N) * [misc]simplify: Simplified (2) to (λ (N) (/ (- (/ (/ 1/3 N) N) (- (/ 1/2 N) 1)) N)) * * * * [misc]progress: [ 58 / 59 ] 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 (105 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * [exit]simplify: Simplified to (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) * * * * [misc]progress: [ 59 / 59 ] 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 (105 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * [exit]simplify: Simplified to (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) * [misc]simplify: Simplified (2) to (λ (N) (- (/ 1 N) (/ (- 1/2 (/ 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 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* 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 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N 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 (/ (- 1/2 (/ 1/3 N)) (* N N)) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 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 (/ 1/3 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 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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) into -1/3 * [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 1/3) 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 (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* 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 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N 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 (/ (- 1/2 (/ 1/3 N)) (* N N)) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 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 (/ 1/3 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 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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) into -1/3 * [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 1/3) 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 (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [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 -1/2) 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 (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (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) into 0 * [misc]backup-simplify: Simplify (+ 0 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)) (* 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 (/ (+ (* -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 (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 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 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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) (/ 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 (+ 1/2 0) into 1/2 * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 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 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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) (/ 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 (+ 1/2 0) into 1/2 * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]backup-simplify: Simplify (pow N 1/3) into (pow N 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) 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 (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) * [misc]backup-simplify: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) * [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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -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 (- (/ -1/3 1) (+ (* 1/2 (/ 0 1)))) into -1/3 * [misc]backup-simplify: Simplify (- -1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 0 1/3) 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 (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 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 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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)) (/ 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 (+ 1/2 0) into 1/2 * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 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 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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)) (/ 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 (+ 1/2 0) into 1/2 * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -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 (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow -1 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (+ (log N) (log -1)))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- -1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 0 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 (- (/ 1/3 1) (+ (* 1/2 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) 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 N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (+ (log N) (log -1))))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (+ (* (* 1/12 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (/ 1 (- N))) (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))))) into (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* 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 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N 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 (/ (- 1/2 (/ 1/3 N)) (* N N)) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 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 (/ 1/3 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 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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) into -1/3 * [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 1/3) 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 (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* 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 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N 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 (/ (- 1/2 (/ 1/3 N)) (* N N)) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 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 (/ 1/3 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 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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) into -1/3 * [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 1/3) 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 (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [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 -1/2) 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 (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (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) into 0 * [misc]backup-simplify: Simplify (+ 0 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)) (* 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 (/ (+ (* -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 (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 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 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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) (/ 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 (+ 1/2 0) into 1/2 * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 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 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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) (/ 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 (+ 1/2 0) into 1/2 * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]backup-simplify: Simplify (pow N 1/3) into (pow N 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) 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 (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) * [misc]backup-simplify: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) * [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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -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 (- (/ -1/3 1) (+ (* 1/2 (/ 0 1)))) into -1/3 * [misc]backup-simplify: Simplify (- -1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 0 1/3) 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 (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 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 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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)) (/ 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 (+ 1/2 0) into 1/2 * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 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 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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)) (/ 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 (+ 1/2 0) into 1/2 * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -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 (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow -1 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (+ (log N) (log -1)))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- -1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 0 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 (- (/ 1/3 1) (+ (* 1/2 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) 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 N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (+ (log N) (log -1))))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (+ (* (* 1/12 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (/ 1 (- N))) (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))))) into (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* 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 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N 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 (/ (- 1/2 (/ 1/3 N)) (* N N)) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 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 (/ 1/3 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 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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) into -1/3 * [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 1/3) 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 (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* 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 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N 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 (/ (- 1/2 (/ 1/3 N)) (* N N)) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 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 (/ 1/3 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 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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) into -1/3 * [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 1/3) 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 (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [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 -1/2) 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 (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (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) into 0 * [misc]backup-simplify: Simplify (+ 0 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)) (* 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 (/ (+ (* -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 (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 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 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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) (/ 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 (+ 1/2 0) into 1/2 * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 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 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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) (/ 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 (+ 1/2 0) into 1/2 * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]backup-simplify: Simplify (pow N 1/3) into (pow N 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) 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 (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) * [misc]backup-simplify: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) * [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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -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 (- (/ -1/3 1) (+ (* 1/2 (/ 0 1)))) into -1/3 * [misc]backup-simplify: Simplify (- -1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 0 1/3) 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 (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 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 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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)) (/ 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 (+ 1/2 0) into 1/2 * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 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 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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)) (/ 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 (+ 1/2 0) into 1/2 * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -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 (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow -1 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (+ (log N) (log -1)))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- -1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 0 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 (- (/ 1/3 1) (+ (* 1/2 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) 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 N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (+ (log N) (log -1))))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (+ (* (* 1/12 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (/ 1 (- N))) (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))))) into (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) in N * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* 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 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N 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 (/ (- 1/2 (/ 1/3 N)) (* N N)) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 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 (/ 1/3 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 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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) into -1/3 * [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 1/3) 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 (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* 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 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N 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 (/ (- 1/2 (/ 1/3 N)) (* N N)) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 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 (/ 1/3 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 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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) into -1/3 * [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 1/3) 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 (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]taylor: Taking taylor expansion of (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) in N * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* 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 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N 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 (/ (- 1/2 (/ 1/3 N)) (* N N)) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 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 (/ 1/3 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 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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) into -1/3 * [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 1/3) 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 (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* 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 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N 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 (/ (- 1/2 (/ 1/3 N)) (* N N)) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 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 (/ 1/3 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 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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) into -1/3 * [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 1/3) 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 (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2) into (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [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 -1/2) 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 (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [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 -1/2) 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 (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2)) * [misc]backup-simplify: Simplify (- (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2)) into (- (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2)) * [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) 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)) (* 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 (/ (+ (* -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 (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (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) into 0 * [misc]backup-simplify: Simplify (+ 0 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)) (* 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 (/ (+ (* -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 (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) into (* 7/4 (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2)) * [misc]backup-simplify: Simplify (* 7/4 (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2)) into (* 7/4 (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2)) * [misc]backup-simplify: Simplify (+ (* (* 7/4 (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2)) (pow N 2)) (+ (* (- (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2)) N) (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2))) into (- (+ (* 7/4 (* (pow N 2) (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2))) (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2)) (* N (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2))) * [misc]approximate: Taking taylor expansion of (* (cbrt (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) (cbrt (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) (cbrt (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 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 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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) (/ 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 (+ 1/2 0) into 1/2 * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 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 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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) (/ 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 (+ 1/2 0) into 1/2 * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) (cbrt (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 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 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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) (/ 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 (+ 1/2 0) into 1/2 * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 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 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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) (/ 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 (+ 1/2 0) into 1/2 * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]backup-simplify: Simplify (* (pow N 1/3) (pow N 1/3)) into (pow (pow N 2) 1/3) * [misc]backup-simplify: Simplify (pow (pow N 2) 1/3) into (pow (pow N 2) 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) 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 (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) 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 (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow N 1/3) (* -1/6 (pow N 1/3))) (* (* -1/6 (pow N 1/3)) (pow N 1/3))) into (- (* 1/3 (pow (pow N 2) 1/3))) * [misc]backup-simplify: Simplify (- (* 1/3 (pow (pow N 2) 1/3))) into (- (* 1/3 (pow (pow N 2) 1/3))) * [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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -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 (- (/ -1/3 1) (+ (* 1/2 (/ 0 1)))) into -1/3 * [misc]backup-simplify: Simplify (- -1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 0 1/3) 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 (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) * [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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -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 (- (/ -1/3 1) (+ (* 1/2 (/ 0 1)))) into -1/3 * [misc]backup-simplify: Simplify (- -1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 0 1/3) 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 (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow N 1/3) (* 1/12 (pow N 1/3))) (+ (* (* -1/6 (pow N 1/3)) (* -1/6 (pow N 1/3))) (* (* 1/12 (pow N 1/3)) (pow N 1/3)))) into (* 7/36 (pow (pow N 2) 1/3)) * [misc]backup-simplify: Simplify (* 7/36 (pow (pow N 2) 1/3)) into (* 7/36 (pow (pow N 2) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 7/36 (pow (pow (/ 1 N) 2) 1/3)) (pow (/ 1 N) 2)) (+ (* (- (* 1/3 (pow (pow (/ 1 N) 2) 1/3))) (/ 1 N)) (pow (pow (/ 1 N) 2) 1/3))) into (- (+ (pow (pow (/ 1 N) 2) 1/3) (* 7/36 (pow (/ 1 (pow N 8)) 1/3))) (* 1/3 (pow (/ 1 (pow N 5)) 1/3))) * [misc]approximate: Taking taylor expansion of (* (cbrt (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) (cbrt (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) (cbrt (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 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 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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)) (/ 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 (+ 1/2 0) into 1/2 * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 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 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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)) (/ 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 (+ 1/2 0) into 1/2 * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) (cbrt (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 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 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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)) (/ 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 (+ 1/2 0) into 1/2 * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 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 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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)) (/ 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 (+ 1/2 0) into 1/2 * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (exp (* 1/3 (+ (log N) (log -1))))) into (pow (exp (* 1/3 (+ (log N) (log -1)))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (+ (log N) (log -1)))) 2) into (pow (exp (* 1/3 (+ (log N) (log -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 (/ 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 (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow -1 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (+ (log N) (log -1)))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -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 (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow -1 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (+ (log N) (log -1)))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log N) (log -1)))) (* 1/6 (exp (* 1/3 (+ (log N) (log -1)))))) (* (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) (exp (* 1/3 (+ (log N) (log -1)))))) into (* 1/3 (pow (exp (* 1/3 (+ (log N) (log -1)))) 2)) * [misc]backup-simplify: Simplify (* 1/3 (pow (exp (* 1/3 (+ (log N) (log -1)))) 2)) into (* 1/3 (pow (exp (* 1/3 (+ (log N) (log -1)))) 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- -1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 0 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 (- (/ 1/3 1) (+ (* 1/2 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) 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 N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (+ (log N) (log -1))))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- -1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 0 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 (- (/ 1/3 1) (+ (* 1/2 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) 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 N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (+ (log N) (log -1))))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log N) (log -1)))) (* 1/12 (exp (* 1/3 (+ (log N) (log -1)))))) (+ (* (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) (* 1/6 (exp (* 1/3 (+ (log N) (log -1)))))) (* (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) (exp (* 1/3 (+ (log N) (log -1))))))) into (* 7/36 (pow (exp (* 1/3 (+ (log N) (log -1)))) 2)) * [misc]backup-simplify: Simplify (* 7/36 (pow (exp (* 1/3 (+ (log N) (log -1)))) 2)) into (* 7/36 (pow (exp (* 1/3 (+ (log N) (log -1)))) 2)) * [misc]backup-simplify: Simplify (+ (* (* 7/36 (pow (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))) 2)) (pow (/ 1 (- N)) 2)) (+ (* (* 1/3 (pow (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))) 2)) (/ 1 (- N))) (pow (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))) 2))) into (- (+ (* 7/36 (/ (pow (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) 2) (pow N 2))) (pow (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) 2)) (* 1/3 (/ (pow (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) 2) N))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))) (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (* (cbrt (* (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))) (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))))) (cbrt (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))))) * * * * [misc]progress: [ 6 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (* (cbrt (sqrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))))) (cbrt (sqrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))))) * * * * [misc]progress: [ 7 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (* (cbrt 1) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))))) * * * * [misc]progress: [ 8 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (sqrt (/ 1 N)) (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N))) (sqrt (/ 1 N)))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (* (cbrt (+ (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N))) (sqrt (/ 1 N)))) (cbrt (- (sqrt (/ 1 N)) (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N)))))))) * * * * [misc]progress: [ 9 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (* (cbrt (+ (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N))) (cbrt (- (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N)))))) * * * * [misc]progress: [ 10 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (* (cbrt 1) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))))) * * * * [misc]progress: [ 11 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (* (cbrt 1) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))))) * * * * [misc]progress: [ 12 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* 1 (* N N)) (* N (- 1/2 (/ 1/3 N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (218 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N (- N 1/2)) 1/3)) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (/ (cbrt (+ (* N (- N 1/2)) 1/3)) (cbrt (* N (* N N)))))) * * * * [misc]progress: [ 13 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow (/ 1 N) 3) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * [exit]simplify: Simplified to (cbrt (- (/ (/ 1 N) (* N N)) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (/ (cbrt (- (/ (/ 1 N) (* N N)) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3))) (cbrt (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (* (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))))))) * * * * [misc]progress: [ 14 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (/ 1 N) (/ 1 N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (/ (cbrt (* (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))))) * * * * [misc]progress: [ 15 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))) (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (* (cbrt (* (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))) (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))))) (cbrt (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 24 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (* (cbrt (sqrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))))) (cbrt (sqrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 25 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (* (cbrt 1) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 26 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (sqrt (/ 1 N)) (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N))) (sqrt (/ 1 N)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (* (cbrt (+ (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N))) (sqrt (/ 1 N)))) (cbrt (- (sqrt (/ 1 N)) (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N))))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 27 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N))) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (* (cbrt (+ (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N))) (cbrt (- (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 28 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (* (cbrt 1) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 29 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (* (cbrt 1) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 30 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* 1 (* N N)) (* N (- 1/2 (/ 1/3 N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (218 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N (- N 1/2)) 1/3)) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (/ (cbrt (+ (* N (- N 1/2)) 1/3)) (cbrt (* N (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 31 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow (/ 1 N) 3) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * [exit]simplify: Simplified to (cbrt (- (/ (/ 1 N) (* N N)) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3))) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (/ (cbrt (- (/ (/ 1 N) (* N N)) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3))) (cbrt (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (* (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 32 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (/ 1 N) (/ 1 N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (/ (cbrt (* (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 33 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))) (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (* (cbrt (* (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))) (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))))) (cbrt (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 42 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (* (cbrt (sqrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))))) (cbrt (sqrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 43 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (* (cbrt 1) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 44 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (sqrt (/ 1 N)) (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N))) (sqrt (/ 1 N)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (* (cbrt (+ (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N))) (sqrt (/ 1 N)))) (cbrt (- (sqrt (/ 1 N)) (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 45 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N))) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (* (cbrt (+ (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N))) (cbrt (- (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 46 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (* (cbrt 1) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 47 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (* (cbrt 1) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 48 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* 1 (* N N)) (* N (- 1/2 (/ 1/3 N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (218 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N (- N 1/2)) 1/3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (/ (cbrt (+ (* N (- N 1/2)) 1/3)) (cbrt (* N (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 49 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow (/ 1 N) 3) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * [exit]simplify: Simplified to (cbrt (- (/ (/ 1 N) (* N N)) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3))) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (/ (cbrt (- (/ (/ 1 N) (* N N)) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3))) (cbrt (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (* (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 50 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (/ 1 N) (/ 1 N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (/ (cbrt (* (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 51 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (pow (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))) (+ 1/3 1/3)) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ 1/3 1/3) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (pow (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) (+ 1/3 1/3)) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 56 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (pow (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ 1 1)) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (pow (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ 1 1)) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 57 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (367 enodes) * [exit]simplify: Simplified to (* (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (pow (* (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) 1/3) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 58 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N)))) (cbrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (pow (* (cbrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N)))) (cbrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))))) 1) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 59 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (pow (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ 1 1)) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 61 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (log (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N)))) (log (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (exp (+ (log (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N)))) (log (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N)))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 63 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (367 enodes) * [exit]simplify: Simplified to (* (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (cbrt (* (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 66 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* 1 (* N N)) (* N (- 1/2 (/ 1/3 N))))) (cbrt (- (* 1 (* N N)) (* N (- 1/2 (/ 1/3 N)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* (- N 1/2) N) 1/3)) (cbrt (+ (* (- N 1/2) N) 1/3))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (/ (* (cbrt (+ (* (- N 1/2) N) 1/3)) (cbrt (+ (* (- N 1/2) N) 1/3))) (* (cbrt (* N (* N N))) (cbrt (* N (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * [enter]simplify: Simplifying (* (cbrt (* N (* N N))) (cbrt (* N (* N N)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* N N) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (/ (* (cbrt (+ (* (- N 1/2) N) 1/3)) (cbrt (+ (* (- N 1/2) N) 1/3))) (* N N)) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 70 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* 1 (* N N)) (* N (- 1/2 (/ 1/3 N))))) (cbrt (- (pow (/ 1 N) 3) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (450 enodes) * [exit]simplify: Simplified to (* (cbrt (* N (+ (- N 1/2) (/ 1/3 N)))) (cbrt (- (/ (/ 1 N) (* N N)) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (/ (* (cbrt (* N (+ (- N 1/2) (/ 1/3 N)))) (cbrt (- (/ (/ 1 N) (* N N)) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3)))) (* (cbrt (* N (* N N))) (cbrt (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (* (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * [enter]simplify: Simplifying (* (cbrt (* N (* N N))) (cbrt (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (* (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (404 enodes) * [exit]simplify: Simplified to (* N (cbrt (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (+ (/ (/ 1 N) N) (/ (- 1/2 (/ 1/3 N)) (* N (* N N))))))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (/ (* (cbrt (* N (+ (- N 1/2) (/ 1/3 N)))) (cbrt (- (/ (/ 1 N) (* N N)) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3)))) (* N (cbrt (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (+ (/ (/ 1 N) N) (/ (- 1/2 (/ 1/3 N)) (* N (* N N)))))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 71 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* 1 (* N N)) (* N (- 1/2 (/ 1/3 N))))) (cbrt (- (* (/ 1 N) (/ 1 N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 (* N N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (* N (- N (- 1/2 (/ 1/3 N)))))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (/ (* (cbrt (- (/ 1 (* N N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (* N (- N (- 1/2 (/ 1/3 N)))))) (* (cbrt (* N (* N N))) (cbrt (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * [enter]simplify: Simplifying (* (cbrt (* N (* N N))) (cbrt (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) N) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (/ (* (cbrt (- (/ 1 (* N N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (* N (- N (- 1/2 (/ 1/3 N)))))) (* (cbrt (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) N)) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 72 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (pow (/ 1 N) 3) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3))) (cbrt (- (* 1 (* N N)) (* N (- 1/2 (/ 1/3 N)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (488 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ (- N 1/2) (/ 1/3 N)) N)) (cbrt (- (/ (/ 1 N) (* N N)) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (/ (* (cbrt (* (+ (- N 1/2) (/ 1/3 N)) N)) (cbrt (- (/ (/ 1 N) (* N N)) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3)))) (* (cbrt (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (* (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (* N (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * [enter]simplify: Simplifying (* (cbrt (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (* (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (* N (* N N)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (412 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (+ (/ (/ 1 N) N) (/ (- 1/2 (/ 1/3 N)) (* N (* N N)))) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))))) N) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (/ (* (cbrt (* (+ (- N 1/2) (/ 1/3 N)) N)) (cbrt (- (/ (/ 1 N) (* N N)) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3)))) (* (cbrt (+ (+ (/ (/ 1 N) N) (/ (- 1/2 (/ 1/3 N)) (* N (* N N)))) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))))) N)) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 73 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (pow (/ 1 N) 3) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3))) (cbrt (- (pow (/ 1 N) 3) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (321 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (/ 1 N) (* N N)) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3))) (cbrt (- (/ (/ 1 N) (* N N)) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (/ (* (cbrt (- (/ (/ 1 N) (* N N)) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3))) (cbrt (- (/ (/ 1 N) (* N N)) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3)))) (* (cbrt (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (* (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (* (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * [enter]simplify: Simplifying (* (cbrt (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (* (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (* (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (411 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (+ (/ (/ 1 N) N) (/ (- 1/2 (/ 1/3 N)) (* N (* N N)))))) (cbrt (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (+ (/ (/ 1 N) N) (/ (- 1/2 (/ 1/3 N)) (* N (* N N))))))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (/ (* (cbrt (- (pow (/ 1 N) 3) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3))) (cbrt (- (pow (/ 1 N) 3) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3)))) (* (cbrt (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (+ (/ (/ 1 N) N) (/ (- 1/2 (/ 1/3 N)) (* N (* N N)))))) (cbrt (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (+ (/ (/ 1 N) N) (/ (- 1/2 (/ 1/3 N)) (* N (* N N)))))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 74 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (pow (/ 1 N) 3) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3))) (cbrt (- (* (/ 1 N) (/ 1 N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 (* N N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ (/ 1 N) (* N N)) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (/ (* (cbrt (- (/ 1 (* N N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ (/ 1 N) (* N N)) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3)))) (* (cbrt (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (* (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * [enter]simplify: Simplifying (* (cbrt (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (* (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (+ (/ (/ 1 N) N) (/ (- 1/2 (/ 1/3 N)) (* N (* N N)))) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (+ (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ 1 N)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (/ (* (cbrt (- (pow (/ 1 N) 3) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3))) (cbrt (- (* (/ 1 N) (/ 1 N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (* (cbrt (+ (+ (/ (/ 1 N) N) (/ (- 1/2 (/ 1/3 N)) (* N (* N N)))) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (+ (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ 1 N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 75 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* (/ 1 N) (/ 1 N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (* 1 (* N N)) (* N (- 1/2 (/ 1/3 N)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (482 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 (* N N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (* N (+ (- N 1/2) (/ 1/3 N))))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (/ (* (cbrt (- (/ 1 (* N N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (* N (+ (- N 1/2) (/ 1/3 N))))) (* (cbrt (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (* N (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * [enter]simplify: Simplifying (* (cbrt (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (* N (* N N)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* N (cbrt (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (/ (* (cbrt (- (/ 1 (* N N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (* N (+ (- N 1/2) (/ 1/3 N))))) (* N (cbrt (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 76 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* (/ 1 N) (/ 1 N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (pow (/ 1 N) 3) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 (* N N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ (/ 1 N) (* N N)) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (/ (* (cbrt (- (/ 1 (* N N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ (/ 1 N) (* N N)) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3)))) (* (cbrt (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (* (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * [enter]simplify: Simplifying (* (cbrt (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (* (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (+ (/ (- 1/2 (/ 1/3 N)) (* N (* N N))) (/ 1 (* N N))))) (cbrt (+ (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ 1 N)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (/ (* (cbrt (- (* (/ 1 N) (/ 1 N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (pow (/ 1 N) 3) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3)))) (* (cbrt (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (+ (/ (- 1/2 (/ 1/3 N)) (* N (* N N))) (/ 1 (* N N))))) (cbrt (+ (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ 1 N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 77 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* (/ 1 N) (/ 1 N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (* (/ 1 N) (/ 1 N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ 1 N)) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (* (+ (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ 1 N)) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (/ (* (cbrt (* (+ (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ 1 N)) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (* (+ (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ 1 N)) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (* (cbrt (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * [enter]simplify: Simplifying (* (cbrt (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ 1 N))) (cbrt (+ (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ 1 N)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (/ (* (cbrt (- (* (/ 1 N) (/ 1 N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (* (/ 1 N) (/ 1 N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (* (cbrt (+ (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ 1 N))) (cbrt (+ (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ 1 N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 78 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))))) (cbrt (cbrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N)))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 80 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (sqrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (sqrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N)))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 81 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt 1)) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 82 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqrt (/ 1 N)) (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (cbrt (- (sqrt (/ 1 N)) (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N))))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (+ (sqrt (/ 1 N)) (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (- (sqrt (/ 1 N)) (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 83 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (cbrt (- (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (+ (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N)))) (cbrt (- (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 84 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt 1)) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 85 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt 1)) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 86 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (* (cbrt (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))))) (cbrt (cbrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N)))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 87 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (sqrt (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (sqrt (cbrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N)))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 88 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) 1) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 89 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))) (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (cbrt (* (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))) (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))))) (* (cbrt (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 90 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (cbrt (sqrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))))) (* (cbrt (sqrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 91 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (cbrt 1) (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 92 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (sqrt (/ 1 N)) (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N))) (sqrt (/ 1 N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (cbrt (+ (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N))) (sqrt (/ 1 N)))) (* (cbrt (- (sqrt (/ 1 N)) (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 93 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (cbrt (+ (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N))) (* (cbrt (- (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 94 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (cbrt 1) (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 95 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (cbrt 1) (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 96 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N)))) (cbrt (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (* (cbrt (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N)))) (cbrt (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))))) (* (cbrt (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 97 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (sqrt (cbrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))))) (* (sqrt (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 98 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* N (* N N))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to N * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (/ (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (* 1 (* N N)) (* N (- 1/2 (/ 1/3 N)))))) N) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 100 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (* (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (+ (/ (- 1/2 (/ 1/3 N)) (* N (* N N))) (/ (/ 1 N) N)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (/ (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (pow (/ 1 N) 3) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3)))) (cbrt (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (+ (/ (- 1/2 (/ 1/3 N)) (* N (* N N))) (/ (/ 1 N) N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 101 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (cbrt (+ (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ 1 N))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (/ (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (* (/ 1 N) (/ 1 N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (cbrt (+ (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 102 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* 1 (* N N)) (* N (- 1/2 (/ 1/3 N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))) (cbrt (+ 1/3 (* (- N 1/2) N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (/ (* (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))) (cbrt (+ 1/3 (* (- N 1/2) N)))) (cbrt (* N (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 103 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (pow (/ 1 N) 3) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (/ 1 N) (* N N)) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3))) (cbrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (/ (* (cbrt (- (/ (/ 1 N) (* N N)) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3))) (cbrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))))) (cbrt (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (* (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 104 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* (/ 1 N) (/ 1 N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (329 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 (* N N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (/ (* (cbrt (- (/ 1 (* N N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N)))) (cbrt (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 105 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * [exit]simplify: Simplified to (* (/ (cbrt 1/3) (pow N (* 3 1/3))) (- (* (* N N) 3/4) (- (* 1/2 N) 1))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (* (/ (cbrt 1/3) (pow N (* 3 1/3))) (- (* (* N N) 3/4) (- (* 1/2 N) 1))))) * * * * [misc]progress: [ 107 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N))))) * * * * [misc]progress: [ 108 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (+ (/ (cbrt (* -1 (/ -1 N))) (/ N (- (/ 1/12 N) 1/6))) (cbrt (* -1 (/ -1 N)))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (+ (/ (cbrt (* -1 (/ -1 N))) (/ N (- (/ 1/12 N) 1/6))) (cbrt (* -1 (/ -1 N)))))) * * * * [misc]progress: [ 109 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * [exit]simplify: Simplified to (* (/ (cbrt 1/3) (pow N (* 3 1/3))) (- (* (* N N) 3/4) (- (* 1/2 N) 1))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (* (/ (cbrt 1/3) (pow N (* 3 1/3))) (- (* (* N N) 3/4) (- (* 1/2 N) 1)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 110 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 111 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (+ (/ (cbrt (* -1 (/ -1 N))) (/ N (- (/ 1/12 N) 1/6))) (cbrt (* -1 (/ -1 N)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (/ (cbrt (* -1 (/ -1 N))) (/ N (- (/ 1/12 N) 1/6))) (cbrt (* -1 (/ -1 N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 112 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * [exit]simplify: Simplified to (* (/ (cbrt 1/3) (pow N (* 3 1/3))) (- (* (* N N) 3/4) (- (* 1/2 N) 1))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (* (/ (cbrt 1/3) (pow N (* 3 1/3))) (- (* (* N N) 3/4) (- (* 1/2 N) 1))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 113 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 114 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (+ (/ (cbrt (* -1 (/ -1 N))) (/ N (- (/ 1/12 N) 1/6))) (cbrt (* -1 (/ -1 N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (+ (/ (cbrt (* -1 (/ -1 N))) (/ N (- (/ 1/12 N) 1/6))) (cbrt (* -1 (/ -1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 115 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 7/4 (* (pow N 2) (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2))) (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2)) (* N (pow (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) 2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (478 enodes) * [exit]simplify: Simplified to (* (/ (cbrt 1/3) (pow N (* 3 1/3))) (* (- (* (* N N) 7/4) (- N 1)) (/ (cbrt 1/3) (pow N (* 3 1/3))))) * [misc]simplify: Simplified (2 1) to (λ (N) (* (* (/ (cbrt 1/3) (pow N (* 3 1/3))) (* (- (* (* N N) 7/4) (- N 1)) (/ (cbrt 1/3) (pow N (* 3 1/3))))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 116 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow (pow (/ 1 N) 2) 1/3) (* 7/36 (pow (/ 1 (pow N 8)) 1/3))) (* 1/3 (pow (/ 1 (pow N 5)) 1/3))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (+ (- (* (cbrt (/ 1 (pow N 8))) 7/36) (* 1/3 (cbrt (/ 1 (pow N 5))))) (cbrt (/ 1 (* N N)))) * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (- (* (cbrt (/ 1 (pow N 8))) 7/36) (* 1/3 (cbrt (/ 1 (pow N 5))))) (cbrt (/ 1 (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 117 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 7/36 (/ (pow (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) 2) (pow N 2))) (pow (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) 2)) (* 1/3 (/ (pow (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) 2) N))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (+ (pow (* (/ -1 N) -1) (+ 1/3 1/3)) (* (pow (* (/ -1 N) -1) (+ 1/3 1/3)) (- (/ (/ 7/36 N) N) (/ 1/3 N)))) * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (pow (* (/ -1 N) -1) (+ 1/3 1/3)) (* (pow (* (/ -1 N) -1) (+ 1/3 1/3)) (- (/ (/ 7/36 N) N) (/ 1/3 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N 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 1 2 1 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ 1 (pow N 4))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (pow N 4))) in N * [misc]taylor: Rewrote expression to (pow (/ 1 (pow N 4)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 4))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 4)))) 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 (/ 1 (pow N 4))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 4)) in N * [misc]taylor: Taking taylor expansion of (pow N 4) in N * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (pow N 4))) in N * [misc]taylor: Rewrote expression to (pow (/ 1 (pow N 4)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 4))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 4)))) 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 (/ 1 (pow N 4))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 4)) in N * [misc]taylor: Taking taylor expansion of (pow N 4) in N * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) * [misc]backup-simplify: Simplify (pow N -4/3) into (pow N -4/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0 1) 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 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 4 (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (/ (+ (* 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 (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 4 (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 4 (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 4 (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 4 (log N)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow N -4/3) into (pow N -4/3) * [misc]approximate: Taking taylor expansion of (cbrt (/ 1 (pow (/ 1 N) 4))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (pow (/ 1 N) 4))) in N * [misc]taylor: Rewrote expression to (pow (/ 1 (pow (/ 1 N) 4)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (/ 1 N) 4))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (/ 1 N) 4)))) 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 (/ 1 (pow (/ 1 N) 4))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 N) 4)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 4) in N * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 4 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 4 in N * [misc]backup-simplify: Simplify 4 into 4 * [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 (* 4 (- (log N))) into (* -4 (log N)) * [misc]backup-simplify: Simplify (exp (* -4 (log N))) into (pow N -4) * [misc]backup-simplify: Simplify (/ 1 (pow N -4)) into (pow N 4) * [misc]backup-simplify: Simplify (log (pow N 4)) into (log (pow N 4)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow N 4))) into (* 1/3 (log (pow N 4))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow N 4)))) into (pow (pow N 4) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (pow (/ 1 N) 4))) in N * [misc]taylor: Rewrote expression to (pow (/ 1 (pow (/ 1 N) 4)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (/ 1 N) 4))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (/ 1 N) 4)))) 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 (/ 1 (pow (/ 1 N) 4))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 N) 4)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 4) in N * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 4 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 4 in N * [misc]backup-simplify: Simplify 4 into 4 * [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 (* 4 (- (log N))) into (* -4 (log N)) * [misc]backup-simplify: Simplify (exp (* -4 (log N))) into (pow N -4) * [misc]backup-simplify: Simplify (/ 1 (pow N -4)) into (pow N 4) * [misc]backup-simplify: Simplify (log (pow N 4)) into (log (pow N 4)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow N 4))) into (* 1/3 (log (pow N 4))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow N 4)))) into (pow (pow N 4) 1/3) * [misc]backup-simplify: Simplify (pow (pow N 4) 1/3) into (pow (pow N 4) 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 4) (/ 0 (pow N -4))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow N 4) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow N 4)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 4)))) (+ (* (/ (pow 0 1) 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 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 4) (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow N 4) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow N 4) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow N 4))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 4)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 4) (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow N 4) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow N 4) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow N 4) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow N 4)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 4)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 4) (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow N 4) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow N 4) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow N 4) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow N 4) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow N 4) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow N 4))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 4)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 4) (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow N 4) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow N 4) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow N 4) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow N 4) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow N 4) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow N 4) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow N 4) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow N 4)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 4)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -4 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 4) (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))) (* 0 (/ 0 (pow N -4))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow N 4) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow N 4) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow N 4) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow N 4) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow N 4) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow N 4) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow N 4) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow N 4) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow N 4) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow N 4) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow N 4) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow N 4))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 4)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (pow (/ 1 N) 4) 1/3) into (pow (pow (/ 1 N) 4) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (/ 1 (pow (/ 1 (- N)) 4))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (pow (/ 1 (- N)) 4))) in N * [misc]taylor: Rewrote expression to (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (/ 1 (- N)) 4))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (/ 1 (- N)) 4)))) 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 (/ 1 (pow (/ 1 (- N)) 4))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 (- N)) 4)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 4) in N * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 4 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 4 in N * [misc]backup-simplify: Simplify 4 into 4 * [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 (* 4 (- (log -1) (log N))) into (* 4 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 4 (- (log -1) (log N)))) into (exp (* 4 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 4 (- (log -1) (log N))))) into (/ 1 (exp (* 4 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (log (/ 1 (exp (* 4 (- (log -1) (log N)))))) into (log (/ 1 (exp (* 4 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (exp (* 4 (- (log -1) (log N))))))) into (* 1/3 (log (/ 1 (exp (* 4 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (exp (* 4 (- (log -1) (log N)))))))) into (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (pow (/ 1 (- N)) 4))) in N * [misc]taylor: Rewrote expression to (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (/ 1 (- N)) 4))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (/ 1 (- N)) 4)))) 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 (/ 1 (pow (/ 1 (- N)) 4))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 (- N)) 4)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 4) in N * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 4 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 4 in N * [misc]backup-simplify: Simplify 4 into 4 * [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 (* 4 (- (log -1) (log N))) into (* 4 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 4 (- (log -1) (log N)))) into (exp (* 4 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 4 (- (log -1) (log N))))) into (/ 1 (exp (* 4 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (log (/ 1 (exp (* 4 (- (log -1) (log N)))))) into (log (/ 1 (exp (* 4 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (exp (* 4 (- (log -1) (log N))))))) into (* 1/3 (log (/ 1 (exp (* 4 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (exp (* 4 (- (log -1) (log N)))))))) into (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 1/3) * [misc]backup-simplify: Simplify (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 1/3) into (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 4 (- (log -1) (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 4 (- (log -1) (log N))))) (/ 0 (exp (* 4 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (exp (* 4 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 4 (- (log -1) (log N)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 4 (- (log -1) (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 4 (- (log -1) (log N))))) (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (exp (* 4 (- (log -1) (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 4 (- (log -1) (log N)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 4 (- (log -1) (log N)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 4 (- (log -1) (log N))))) (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (exp (* 4 (- (log -1) (log N)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 4 (- (log -1) (log N)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 4 (- (log -1) (log N)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 4 (- (log -1) (log N))))) (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (exp (* 4 (- (log -1) (log N))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 4 (- (log -1) (log N)))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 4 (- (log -1) (log N)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 4 (- (log -1) (log N))))) (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (exp (* 4 (- (log -1) (log N)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 4 (- (log -1) (log N)))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 4 (- (log -1) (log N)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 4 (- (log -1) (log N))))) (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 4 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ 1 (exp (* 4 (- (log -1) (log N))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (exp (* 4 (- (log -1) (log N))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 4 (- (log -1) (log N)))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 (exp (* 4 (- (log -1) (log (/ 1 (- N))))))) 1/3) into (pow (/ 1 (exp (* 4 (- (log -1) (log (/ -1 N)))))) 1/3) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* 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 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N 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 (/ (- 1/2 (/ 1/3 N)) (* N N)) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 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 (/ 1/3 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 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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) into -1/3 * [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 1/3) 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 (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* 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 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N 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 (/ (- 1/2 (/ 1/3 N)) (* N N)) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 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 (/ 1/3 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 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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) into -1/3 * [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 1/3) 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 (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [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 -1/2) 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 (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (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) into 0 * [misc]backup-simplify: Simplify (+ 0 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)) (* 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 (/ (+ (* -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 (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 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 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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) (/ 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 (+ 1/2 0) into 1/2 * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 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 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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) (/ 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 (+ 1/2 0) into 1/2 * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]backup-simplify: Simplify (pow N 1/3) into (pow N 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) 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 (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) * [misc]backup-simplify: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) * [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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -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 (- (/ -1/3 1) (+ (* 1/2 (/ 0 1)))) into -1/3 * [misc]backup-simplify: Simplify (- -1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 0 1/3) 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 (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 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 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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)) (/ 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 (+ 1/2 0) into 1/2 * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 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 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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)) (/ 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 (+ 1/2 0) into 1/2 * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -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 (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow -1 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (+ (log N) (log -1)))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- -1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 0 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 (- (/ 1/3 1) (+ (* 1/2 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) 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 N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (+ (log N) (log -1))))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (+ (* (* 1/12 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (/ 1 (- N))) (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))))) into (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* 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 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N 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 (/ (- 1/2 (/ 1/3 N)) (* N N)) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 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 (/ 1/3 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 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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) into -1/3 * [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 1/3) 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 (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* 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 (log (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N 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 (/ (- 1/2 (/ 1/3 N)) (* N N)) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 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 (/ 1/3 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 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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) into -1/3 * [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 1/3) 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 (* 1/3 (- (log 1/3) (* 3 (log N)))) into (* 1/3 (- (log 1/3) (* 3 (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) into (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [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 -1/2) 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 (+ (* 1/3 -3/2) (* 0 (- (log 1/3) (* 3 (log N))))) into (- 1/2) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 1) 1)))) into (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* -1/2 (exp (* 1/3 (- (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) into 0 * [misc]backup-simplify: Simplify (+ 0 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)) (* 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 (/ (+ (* -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 (+ (* 1/3 15/8) (+ (* 0 -3/2) (* 0 (- (log 1/3) (* 3 (log N)))))) into 5/8 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/3) (* 3 (log N))))) (+ (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow 5/8 1) 1)))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) into (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) * [misc]backup-simplify: Simplify (+ (* (* 3/4 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (pow N 2)) (+ (* (* -1/2 (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) into (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 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 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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) (/ 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 (+ 1/2 0) into 1/2 * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 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 (log (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 N)) (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 N))) (* (/ 1 N) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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) (/ 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 (+ 1/2 0) into 1/2 * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]backup-simplify: Simplify (pow N 1/3) into (pow N 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) 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 (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) * [misc]backup-simplify: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) * [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 (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -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 (- (/ -1/3 1) (+ (* 1/2 (/ 0 1)))) into -1/3 * [misc]backup-simplify: Simplify (- -1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 0 1/3) 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 (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 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 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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)) (/ 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 (+ 1/2 0) into 1/2 * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 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 (log (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- N))) (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1/2 (/ 1/3 (/ 1 (- N)))) (* (/ 1 (- N)) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (- 1/2 (/ 1/3 (/ 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 (/ 1/3 (/ 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)) (/ 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 (+ 1/2 0) into 1/2 * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -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 (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow -1 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 1/2) (* 0 (+ (log N) (log -1)))) into 1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- -1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 0 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 (- (/ 1/3 1) (+ (* 1/2 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ 0 -1/3) 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 N) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (+ (log N) (log -1))))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) * [misc]backup-simplify: Simplify (+ (* (* 1/12 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (/ 1 (- N))) (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))))) into (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (/ 1 (pow N 7))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (pow N 7))) in N * [misc]taylor: Rewrote expression to (pow (/ 1 (pow N 7)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 7))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 7)))) 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 (/ 1 (pow N 7))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 7)) in N * [misc]taylor: Taking taylor expansion of (pow N 7) in N * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 7) (log N)) 0) into (- (* 7 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 7 (log N)))) into (* -7/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -7/3 (log N))) into (pow N -7/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (pow N 7))) in N * [misc]taylor: Rewrote expression to (pow (/ 1 (pow N 7)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow N 7))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow N 7)))) 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 (/ 1 (pow N 7))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 7)) in N * [misc]taylor: Taking taylor expansion of (pow N 7) in N * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 7) (log N)) 0) into (- (* 7 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 7 (log N)))) into (* -7/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -7/3 (log N))) into (pow N -7/3) * [misc]backup-simplify: Simplify (pow N -7/3) into (pow N -7/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 7) (log N)) 0) into (- (* 7 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (* 7 (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -7/3 (log N))) (+ (* (/ (pow 0 1) 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 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 7) (log N)) 0) into (- (* 7 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (* 7 (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -7/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (/ (+ (* 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 (+ (* (- 7) (log N)) 0) into (- (* 7 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 7 (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -7/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 7) (log N)) 0) into (- (* 7 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 7 (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -7/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 7) (log N)) 0) into (- (* 7 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 7 (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -7/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 7) (log N)) 0) into (- (* 7 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (* 7 (log N)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -7/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow N -7/3) into (pow N -7/3) * [misc]approximate: Taking taylor expansion of (cbrt (/ 1 (pow (/ 1 N) 7))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (pow (/ 1 N) 7))) in N * [misc]taylor: Rewrote expression to (pow (/ 1 (pow (/ 1 N) 7)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (/ 1 N) 7))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (/ 1 N) 7)))) 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 (/ 1 (pow (/ 1 N) 7))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 N) 7)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 7) in N * [misc]taylor: Taking taylor expansion of (exp (* 7 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 7 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 7 in N * [misc]backup-simplify: Simplify 7 into 7 * [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 (* 7 (- (log N))) into (* -7 (log N)) * [misc]backup-simplify: Simplify (exp (* -7 (log N))) into (pow N -7) * [misc]backup-simplify: Simplify (/ 1 (pow N -7)) into (pow N 7) * [misc]backup-simplify: Simplify (log (pow N 7)) into (log (pow N 7)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow N 7))) into (* 1/3 (log (pow N 7))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow N 7)))) into (pow (pow N 7) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (pow (/ 1 N) 7))) in N * [misc]taylor: Rewrote expression to (pow (/ 1 (pow (/ 1 N) 7)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (/ 1 N) 7))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (/ 1 N) 7)))) 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 (/ 1 (pow (/ 1 N) 7))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 N) 7)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 7) in N * [misc]taylor: Taking taylor expansion of (exp (* 7 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 7 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 7 in N * [misc]backup-simplify: Simplify 7 into 7 * [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 (* 7 (- (log N))) into (* -7 (log N)) * [misc]backup-simplify: Simplify (exp (* -7 (log N))) into (pow N -7) * [misc]backup-simplify: Simplify (/ 1 (pow N -7)) into (pow N 7) * [misc]backup-simplify: Simplify (log (pow N 7)) into (log (pow N 7)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow N 7))) into (* 1/3 (log (pow N 7))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow N 7)))) into (pow (pow N 7) 1/3) * [misc]backup-simplify: Simplify (pow (pow N 7) 1/3) into (pow (pow N 7) 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 7 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -7 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 7) (/ 0 (pow N -7))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow N 7) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow N 7)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 7)))) (+ (* (/ (pow 0 1) 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 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 7 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -7 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 7) (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow N 7) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow N 7) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow N 7))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 7)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 7 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -7 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 7) (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow N 7) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow N 7) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow N 7) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow N 7)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 7)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 7 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -7 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 7) (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow N 7) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow N 7) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow N 7) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow N 7) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow N 7) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow N 7))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 7)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 7 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -7 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 7) (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow N 7) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow N 7) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow N 7) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow N 7) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow N 7) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow N 7) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow N 7) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow N 7)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 7)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 7 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -7 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow N 7) (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))) (* 0 (/ 0 (pow N -7))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow N 7) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow N 7) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow N 7) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow N 7) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow N 7) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow N 7) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow N 7) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow N 7) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow N 7) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow N 7) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow N 7) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow N 7))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow N 7)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (pow (/ 1 N) 7) 1/3) into (pow (pow (/ 1 N) 7) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (/ 1 (pow (/ 1 (- N)) 7))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (pow (/ 1 (- N)) 7))) in N * [misc]taylor: Rewrote expression to (pow (/ 1 (pow (/ 1 (- N)) 7)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (/ 1 (- N)) 7))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (/ 1 (- N)) 7)))) 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 (/ 1 (pow (/ 1 (- N)) 7))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 (- N)) 7)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 7) in N * [misc]taylor: Taking taylor expansion of (exp (* 7 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 7 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 7 in N * [misc]backup-simplify: Simplify 7 into 7 * [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 (* 7 (- (log -1) (log N))) into (* 7 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 7 (- (log -1) (log N)))) into (exp (* 7 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 7 (- (log -1) (log N))))) into (/ 1 (exp (* 7 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (log (/ 1 (exp (* 7 (- (log -1) (log N)))))) into (log (/ 1 (exp (* 7 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (exp (* 7 (- (log -1) (log N))))))) into (* 1/3 (log (/ 1 (exp (* 7 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (exp (* 7 (- (log -1) (log N)))))))) into (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (pow (/ 1 (- N)) 7))) in N * [misc]taylor: Rewrote expression to (pow (/ 1 (pow (/ 1 (- N)) 7)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (/ 1 (- N)) 7))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (/ 1 (- N)) 7)))) 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 (/ 1 (pow (/ 1 (- N)) 7))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 1 (- N)) 7)) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 7) in N * [misc]taylor: Taking taylor expansion of (exp (* 7 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 7 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 7 in N * [misc]backup-simplify: Simplify 7 into 7 * [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 (* 7 (- (log -1) (log N))) into (* 7 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 7 (- (log -1) (log N)))) into (exp (* 7 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1 (exp (* 7 (- (log -1) (log N))))) into (/ 1 (exp (* 7 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (log (/ 1 (exp (* 7 (- (log -1) (log N)))))) into (log (/ 1 (exp (* 7 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (exp (* 7 (- (log -1) (log N))))))) into (* 1/3 (log (/ 1 (exp (* 7 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (exp (* 7 (- (log -1) (log N)))))))) into (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 1/3) * [misc]backup-simplify: Simplify (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 1/3) into (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 7 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 7 (- (log -1) (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 7 (- (log -1) (log N))))) (/ 0 (exp (* 7 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (exp (* 7 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 7 (- (log -1) (log N)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 7 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 7 (- (log -1) (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 7 (- (log -1) (log N))))) (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (exp (* 7 (- (log -1) (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 7 (- (log -1) (log N)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 7 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 7 (- (log -1) (log N)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 7 (- (log -1) (log N))))) (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (exp (* 7 (- (log -1) (log N)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 7 (- (log -1) (log N)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 7 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 7 (- (log -1) (log N)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 7 (- (log -1) (log N))))) (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (exp (* 7 (- (log -1) (log N))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 7 (- (log -1) (log N)))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 7 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 7 (- (log -1) (log N)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 7 (- (log -1) (log N))))) (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (exp (* 7 (- (log -1) (log N)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 7 (- (log -1) (log N)))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 7 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 7 (- (log -1) (log N)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* 7 (- (log -1) (log N))))) (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 7 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ 1 (exp (* 7 (- (log -1) (log N))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (exp (* 7 (- (log -1) (log N))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1 (exp (* 7 (- (log -1) (log N)))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ 1 (exp (* 7 (- (log -1) (log (/ 1 (- N))))))) 1/3) into (pow (/ 1 (exp (* 7 (- (log -1) (log (/ -1 N)))))) 1/3) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ 1 (pow N 4))) (cbrt (/ 1 (pow N 4))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ 1 (pow N 4))) (cbrt (/ 1 (pow N 4))))) * [misc]simplify: Simplified (2 1 2 1 2 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (* (cbrt (* (cbrt (/ 1 (pow N 4))) (cbrt (/ 1 (pow N 4))))) (cbrt (cbrt (/ 1 (pow N 4))))))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 6 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ 1 (pow N 4)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ 1 (pow N 4)))) * [misc]simplify: Simplified (2 1 2 1 2 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (* (cbrt (sqrt (/ 1 (pow N 4)))) (cbrt (sqrt (/ 1 (pow N 4))))))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 7 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 2 1 2 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (* (cbrt 1) (cbrt (/ 1 (pow N 4)))))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 8 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 2 1 2 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (* (cbrt 1) (cbrt (/ 1 (pow N 4)))))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 9 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 2 1 2 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (/ (cbrt 1) (cbrt (pow N 4))))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 10 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))) (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (* (cbrt (* (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))) (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))))) (cbrt (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))))) * * * * [misc]progress: [ 19 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (* (cbrt (sqrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))))) (cbrt (sqrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))))) * * * * [misc]progress: [ 20 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (* (cbrt 1) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))))) * * * * [misc]progress: [ 21 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (sqrt (/ 1 N)) (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N))) (sqrt (/ 1 N)))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (* (cbrt (+ (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N))) (sqrt (/ 1 N)))) (cbrt (- (sqrt (/ 1 N)) (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N)))))))) * * * * [misc]progress: [ 22 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (* (cbrt (+ (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N))) (cbrt (- (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N)))))) * * * * [misc]progress: [ 23 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (* (cbrt 1) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))))) * * * * [misc]progress: [ 24 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (* (cbrt 1) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))))) * * * * [misc]progress: [ 25 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* 1 (* N N)) (* N (- 1/2 (/ 1/3 N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (218 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N (- N 1/2)) 1/3)) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (/ (cbrt (+ (* N (- N 1/2)) 1/3)) (cbrt (* N (* N N)))))) * * * * [misc]progress: [ 26 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow (/ 1 N) 3) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * [exit]simplify: Simplified to (cbrt (- (/ (/ 1 N) (* N N)) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (/ (cbrt (- (/ (/ 1 N) (* N N)) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3))) (cbrt (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (* (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))))))) * * * * [misc]progress: [ 27 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (/ 1 N) (/ 1 N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (/ (cbrt (* (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))))) * * * * [misc]progress: [ 28 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))) (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (* (cbrt (* (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))) (cbrt (+ (/ (- (/ 1/3 N) 1/2) (* N N)) (/ 1 N))))) (cbrt (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 37 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (* (cbrt (sqrt (+ (/ 1 N) (/ (- (/ 1/3 N) 1/2) (* N N))))) (cbrt (sqrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 38 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (* (cbrt 1) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 39 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (sqrt (/ 1 N)) (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N))) (sqrt (/ 1 N)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (* (cbrt (+ (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N))) (sqrt (/ 1 N)))) (cbrt (- (sqrt (/ 1 N)) (sqrt (/ (- 1/2 (/ 1/3 N)) (* N N)))))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 40 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N))) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (* (cbrt (+ (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N))) (cbrt (- (sqrt (/ 1 N)) (/ (sqrt (- 1/2 (/ 1/3 N))) N)))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 41 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (* (cbrt 1) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 42 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (* (cbrt 1) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 43 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* 1 (* N N)) (* N (- 1/2 (/ 1/3 N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (218 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N (- N 1/2)) 1/3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (/ (cbrt (+ (* N (- N 1/2)) 1/3)) (cbrt (* N (* N N)))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 44 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow (/ 1 N) 3) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * [exit]simplify: Simplified to (cbrt (- (/ (/ 1 N) (* N N)) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3))) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (/ (cbrt (- (/ (/ 1 N) (* N N)) (pow (/ (- 1/2 (/ 1/3 N)) (* N N)) 3))) (cbrt (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))) (* (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 45 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (/ 1 N) (/ 1 N)) (* (/ (- 1/2 (/ 1/3 N)) (* N N)) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (/ (cbrt (* (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))) (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (cbrt (+ (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N))))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 46 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 (pow N 7))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 (pow N 7))))) * [misc]simplify: Simplified (2 1 2 1 1 1 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (* (cbrt (* (cbrt (/ 1 (pow N 7))) (cbrt (/ 1 (pow N 7))))) (cbrt (cbrt (/ 1 (pow N 7))))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 55 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ 1 (pow N 7)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ 1 (pow N 7)))) * [misc]simplify: Simplified (2 1 2 1 1 1 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (* (cbrt (sqrt (/ 1 (pow N 7)))) (cbrt (sqrt (/ 1 (pow N 7))))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 56 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 2 1 1 1 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (* (cbrt 1) (cbrt (/ 1 (pow N 7)))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 57 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 2 1 1 1 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (* (cbrt 1) (cbrt (/ 1 (pow N 7)))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 58 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 2 1 1 1 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (/ (cbrt 1) (cbrt (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 59 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow N -4/3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (pow N -4/3) * [misc]simplify: Simplified (2 1 2 1 2 2) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (pow N -4/3))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 64 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (/ 1 N) 4) 1/3) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (pow (/ 1 N) 4)) * [misc]simplify: Simplified (2 1 2 1 2 2) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (pow (/ 1 N) 4)))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 65 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 (exp (* 4 (- (log -1) (log (/ -1 N)))))) 1/3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * [exit]simplify: Simplified to (cbrt (pow N (- 4))) * [misc]simplify: Simplified (2 1 2 1 2 2) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (pow N (- 4))))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 66 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * [exit]simplify: Simplified to (* (/ (cbrt 1/3) (pow N (* 3 1/3))) (- (* (* N N) 3/4) (- (* 1/2 N) 1))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (* (/ (cbrt 1/3) (pow N (* 3 1/3))) (- (* (* N N) 3/4) (- (* 1/2 N) 1))))) * * * * [misc]progress: [ 67 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N))))) * * * * [misc]progress: [ 68 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (+ (/ (cbrt (* -1 (/ -1 N))) (/ N (- (/ 1/12 N) 1/6))) (cbrt (* -1 (/ -1 N)))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (+ (/ (cbrt (* -1 (/ -1 N))) (/ N (- (/ 1/12 N) 1/6))) (cbrt (* -1 (/ -1 N)))))) * * * * [misc]progress: [ 69 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3/4 (* (pow N 2) (exp (* 1/3 (- (log 1/3) (* 3 (log N))))))) (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))) (* 1/2 (* N (exp (* 1/3 (- (log 1/3) (* 3 (log N)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * [exit]simplify: Simplified to (* (/ (cbrt 1/3) (pow N (* 3 1/3))) (- (* (* N N) 3/4) (- (* 1/2 N) 1))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (* (/ (cbrt 1/3) (pow N (* 3 1/3))) (- (* (* N N) 3/4) (- (* 1/2 N) 1))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 70 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 71 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (+ (/ (cbrt (* -1 (/ -1 N))) (/ N (- (/ 1/12 N) 1/6))) (cbrt (* -1 (/ -1 N)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (+ (/ (cbrt (* -1 (/ -1 N))) (/ N (- (/ 1/12 N) 1/6))) (cbrt (* -1 (/ -1 N)))) (+ (- (* (cbrt (/ 1 (pow N 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 72 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow N -7/3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (pow N -7/3) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (pow N -7/3) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 73 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (/ 1 N) 7) 1/3) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (pow (/ 1 N) 7)) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (cbrt (pow (/ 1 N) 7)) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * * [misc]progress: [ 74 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ 1 (exp (* 7 (- (log -1) (log (/ -1 N)))))) 1/3) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * [exit]simplify: Simplified to (cbrt (pow N (- 7))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (N) (* (* (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))) (+ (- (* (cbrt (pow N (- 7))) 1/12) (* 1/6 (cbrt (/ 1 (pow N 4))))) (cbrt (/ 1 N)))) (cbrt (- (/ 1 N) (/ (- 1/2 (/ 1/3 N)) (* N N)))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # #) * * * [misc]regime-changes: Trying 1 branch expressions: (N) * * * * [misc]regimes: Trying to branch on N from (# # # #) * * * [misc]regime: Found split indices: #