* [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 (13 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (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 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) * * * * [misc]progress: [ 2 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) * * * * [misc]progress: [ 3 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (- 1 1) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (* (- 1 1) (log N)))) * * * * [misc]progress: [ 4 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) * * * * [misc]progress: [ 5 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) * * * * [misc]progress: [ 6 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (- 1 1) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (* (- 1 1) (log N)))) * * * * [misc]progress: [ 7 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) * * * * [misc]progress: [ 8 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) * * * * [misc]progress: [ 9 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (- 1 1) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (* (- 1 1) (log N)))) * * * * [misc]progress: [ 10 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) * [enter]simplify: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) * * * * [misc]progress: [ 11 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (sqrt (log N)) (sqrt (log N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) * [enter]simplify: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) * * * * [misc]progress: [ 12 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log (+ N 1)) (- (* (log N) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) * [enter]simplify: Simplifying (fma (- (log N)) 1 (* (log N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (- 1 1) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (* (- 1 1) (log N)))) * * * * [misc]progress: [ 13 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p N)) (cbrt (log1p N))) * [misc]simplify: Simplified (2 1) to (λ (N) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log (+ N 1))) (- (log N)))) * * * * [misc]progress: [ 17 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (log1p N)) * [misc]simplify: Simplified (2 1) to (λ (N) (fma (sqrt (log1p N)) (sqrt (log (+ N 1))) (- (log N)))) * * * * [misc]progress: [ 18 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 60 ] 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: [ 20 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 60 ] 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) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (+ (sqrt (log N)) (sqrt (log1p N))) * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (sqrt (log N)) (sqrt (log1p N))) (- (sqrt (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 (15 enodes) * [exit]simplify: Simplified to (- (sqrt (log1p N)) (sqrt (log N))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (+ (sqrt (log N)) (sqrt (log1p N))) (- (sqrt (log1p N)) (sqrt (log N))))) * * * * [misc]progress: [ 31 / 60 ] 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 (13 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (log1p N) (log N)))) * * * * [misc]progress: [ 32 / 60 ] 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 (13 enodes) * [exit]simplify: Simplified to (- (log1p N) (log N)) * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (log1p N) (log N)))) * * * * [misc]progress: [ 33 / 60 ] 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: [ 34 / 60 ] 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: [ 35 / 60 ] 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: [ 36 / 60 ] 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) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (log1p (pow N 3)) * [misc]simplify: Simplified (2 1) to (λ (N) (- (log1p (pow N 3)) (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)))) * * * * [misc]progress: [ 37 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* N N) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (log (fma N N (- 1))) * [misc]simplify: Simplified (2 1) to (λ (N) (- (log (fma N N (- 1))) (+ (log (- N 1)) (log N)))) * * * * [misc]progress: [ 38 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 60 ] 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: [ 42 / 60 ] 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: [ 43 / 60 ] 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: [ 44 / 60 ] 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) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (log1p (pow N 3)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (- (log1p (pow N 3)) (log (+ (* N N) (- (* 1 1) (* N 1))))) (log N))) * * * * [misc]progress: [ 45 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* N N) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (log (fma N N (- 1))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (- (- (log (fma N N (- 1))) (log (- N 1))) (log N))) * * * * [misc]progress: [ 46 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 60 ] 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: [ 49 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 60 ] 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 (29 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (- N (fma N (* N 1/2) (log N))) * [misc]simplify: Simplified (2) to (λ (N) (- N (fma N (* N 1/2) (log N)))) * * * * [misc]progress: [ 56 / 60 ] 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 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (419 enodes) * [exit]simplify: Simplified to (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) * * * * [misc]progress: [ 57 / 60 ] 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 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (419 enodes) * [exit]simplify: Simplified to (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) * * * * [misc]progress: [ 58 / 60 ] 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 (54 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (fma (pow N 2) (fma 1/3 N (- 1/2)) N) * [misc]simplify: Simplified (2 1) to (λ (N) (- (fma (pow N 2) (fma 1/3 N (- 1/2)) N) (log N))) * * * * [misc]progress: [ 59 / 60 ] 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 (27 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (284 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: [ 60 / 60 ] 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 (32 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (412 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: 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 3) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 3) * [misc]approximate: Taking taylor expansion of (/ 1/3 (pow N 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [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 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) * [misc]approximate: Taking taylor expansion of (/ 1/3 (pow (/ 1 N) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (/ 1/3 (pow N -3)) into (* 1/3 (pow N 3)) * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (/ 1/3 (pow N -3)) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (* 1/3 (pow N 3)) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) * [misc]approximate: Taking taylor expansion of (/ 1/3 (pow (/ 1 (- N)) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log N))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log N))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log N))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log (/ 1 (- N))))))) into (/ 1/3 (exp (* 3 (- (log -1) (log (/ -1 N)))))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 N) (- 1 (/ 1/2 N))) (/ 1/3 (pow N 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (- 1 (/ 1/2 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 (/ 1/2 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 N) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 N) (- 1 (/ 1/2 N))) (/ 1/3 (pow N 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (- 1 (/ 1/2 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 (/ 1/2 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 N) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify (/ 1/3 1) 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 (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) 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 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 -1/2)) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) 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 (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1/3 (pow (/ 1 N) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (/ 1/3 (pow N -3)) into (* 1/3 (pow N 3)) * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1/3 (pow (/ 1 N) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (/ 1/3 (pow N -3)) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/3 (pow N 3))) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (* 1/3 (pow N 3)) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 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 (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (* 0 1)) 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 (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) 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 (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (* 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 (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1/3 (pow (/ 1 (- N)) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log N))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1/3 (pow (/ 1 (- N)) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log N))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/3 (exp (* 3 (- (log -1) (log N)))))) into (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- -1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) 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 1/2) (* 0 1)) 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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) 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))) (/ 1/3 (exp (* 3 (- (log -1) (log (/ 1 (- N))))))))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log (/ -1 N)))))))) (* 1/2 (/ 1 (pow N 2)))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (- 1 (/ 1/2 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 N) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 N) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) 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) (+ (* 1/2 (/ 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 (- (/ 0 1) (+ (* 1/2 (/ 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 (- (/ 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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 into 0 * [misc]backup-simplify: Simplify (+ 1 (* -1/2 (/ 1 N))) into (- 1 (* 1/2 (/ 1 N))) * [misc]approximate: Taking taylor expansion of (- 1 (/ 1/2 (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 (/ 1 N)) 1) into (- 1 (* 1/2 (/ 1 N))) * [misc]approximate: Taking taylor expansion of (- 1 (/ 1/2 (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1/2 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- -1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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) (+ (* -1/2 (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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) (+ (* -1/2 (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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) (+ (* -1/2 (/ 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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 (- N))) 1) into (- 1 (* 1/2 (/ 1 N))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow N 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to N * [misc]simplify: Simplified (2 3 2) to (λ (N) (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ (/ 1/3 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) N))) * * * * [misc]progress: [ 15 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (* N N) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* N N) * [misc]simplify: Simplified (2 3 2) to (λ (N) (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ (/ 1/3 N) (* N N)))) * * * * [misc]progress: [ 16 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow N 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (pow N 3)) * [misc]simplify: Simplified (2 3 2) to (λ (N) (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ (/ 1/3 (sqrt (pow N 3))) (sqrt (pow N 3))))) * * * * [misc]progress: [ 17 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (pow N 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (pow N 3) * [misc]simplify: Simplified (2 3 2) to (λ (N) (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ (/ 1/3 1) (pow N 3)))) * * * * [misc]progress: [ 18 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/3 (pow N 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ 1/3 (pow N 3)) * [misc]simplify: Simplified (2 3) to (λ (N) (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) * * * * [misc]progress: [ 42 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/3 (pow N 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ 1/3 (pow N 3)) * [misc]simplify: Simplified (2 3) to (λ (N) (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) * * * * [misc]progress: [ 43 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/3 (exp (* 3 (- (log -1) (log (/ -1 N)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (475 enodes) * [exit]simplify: Simplified to (/ 1/3 (pow N 3)) * [misc]simplify: Simplified (2 3) to (λ (N) (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) * * * * [misc]progress: [ 44 / 49 ] 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 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (378 enodes) * [exit]simplify: Simplified to (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) * * * * [misc]progress: [ 45 / 49 ] 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 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (378 enodes) * [exit]simplify: Simplified to (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) * [misc]simplify: Simplified (2) to (λ (N) (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) * * * * [misc]progress: [ 46 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 N) (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log (/ -1 N)))))))) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (443 enodes) * [exit]simplify: Simplified to (- (fma (pow N (- 3)) 1/3 (/ 1 N)) (/ 1/2 (pow N 2))) * [misc]simplify: Simplified (2) to (λ (N) (- (fma (pow N (- 3)) 1/3 (/ 1 N)) (/ 1/2 (pow N 2)))) * * * * [misc]progress: [ 47 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* 1/2 (/ 1 N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (- 1 (/ 1/2 N)) * [misc]simplify: Simplified (2 2) to (λ (N) (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) * * * * [misc]progress: [ 48 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* 1/2 (/ 1 N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (- 1 (/ 1/2 N)) * [misc]simplify: Simplified (2 2) to (λ (N) (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) * * * * [misc]progress: [ 49 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (* 1/2 (/ 1 N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (- 1 (/ 1/2 N)) * [misc]simplify: Simplified (2 2) to (λ (N) (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) * * * [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) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 3) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 3) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 N) (- 1 (/ 1/2 N))) (/ 1/3 (pow N 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (- 1 (/ 1/2 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 (/ 1/2 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 N) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]backup-simplify: Simplify (+ 0 1/3) into 1/3 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1/3 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 N) (- 1 (/ 1/2 N))) (/ 1/3 (pow N 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (- 1 (/ 1/2 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 (/ 1/2 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 N) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]backup-simplify: Simplify (+ 0 1/3) into 1/3 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1/3 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (/ 0 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 -1/2)) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 N) (+ +nan.0 (* +nan.0 (/ 1 N)))) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) * [misc]approximate: Taking taylor expansion of (sqrt (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1/3 (pow (/ 1 N) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (/ 1/3 (pow N -3)) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/3 (pow N 3))) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (sqrt (* 1/3 (pow N 3))) into (* (sqrt (pow N 3)) (sqrt 1/3)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 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 (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (* 1/3 (pow N 3))))) into (* 1/2 (* (sqrt (/ 1 (pow N 3))) (/ 1 (sqrt 1/3)))) * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1/3 (pow (/ 1 N) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (/ 1/3 (pow N -3)) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/3 (pow N 3))) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (sqrt (* 1/3 (pow N 3))) into (* (sqrt (pow N 3)) (sqrt 1/3)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 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 (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (* 1/3 (pow N 3))))) into (* 1/2 (* (sqrt (/ 1 (pow N 3))) (/ 1 (sqrt 1/3)))) * [misc]backup-simplify: Simplify (* (sqrt (pow N 3)) (sqrt 1/3)) into (* (sqrt (pow N 3)) (sqrt 1/3)) * [misc]backup-simplify: Simplify (* 1/2 (* (sqrt (/ 1 (pow N 3))) (/ 1 (sqrt 1/3)))) into (* 1/2 (* (sqrt (/ 1 (pow N 3))) (/ 1 (sqrt 1/3)))) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (* 0 1)) 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 (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow (* 1/2 (* (sqrt (/ 1 (pow N 3))) (/ 1 (sqrt 1/3)))) 2) (+)) (* 2 (* (sqrt (pow N 3)) (sqrt 1/3)))) into (* -1/2 (* (/ (+ (* 1/4 (/ 1 (* (pow N 3) (pow (sqrt 1/3) 2)))) 1/2) (sqrt 1/3)) (sqrt (/ 1 (pow N 3))))) * [misc]backup-simplify: Simplify (* -1/2 (* (/ (+ (* 1/4 (/ 1 (* (pow N 3) (pow (sqrt 1/3) 2)))) 1/2) (sqrt 1/3)) (sqrt (/ 1 (pow N 3))))) into (* -1/2 (* (/ (+ (* 1/4 (/ 1 (* (pow N 3) (pow (sqrt 1/3) 2)))) 1/2) (sqrt 1/3)) (sqrt (/ 1 (pow N 3))))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (* (/ (+ (* 1/4 (/ 1 (* (pow (/ 1 N) 3) (pow (sqrt 1/3) 2)))) 1/2) (sqrt 1/3)) (sqrt (/ 1 (pow (/ 1 N) 3))))) (pow (/ 1 N) 2)) (+ (* (* 1/2 (* (sqrt (/ 1 (pow (/ 1 N) 3))) (/ 1 (sqrt 1/3)))) (/ 1 N)) (* (sqrt (pow (/ 1 N) 3)) (sqrt 1/3)))) into (- (+ (* 1/2 (* (sqrt N) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 (pow N 3))) (sqrt 1/3))) (+ (* 1/8 (* (sqrt (pow N 5)) (/ 1 (pow (sqrt 1/3) 3)))) (* 1/4 (* (sqrt (/ 1 N)) (/ 1 (sqrt 1/3)))))) * [misc]approximate: Taking taylor expansion of (sqrt (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1/3 (pow (/ 1 (- N)) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log N))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/3 (exp (* 3 (- (log -1) (log N)))))) into (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (sqrt (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N))))))) into (* (sqrt (/ 1 (exp (* 3 (- (log -1) (log N)))))) (sqrt 1/3)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N))))))))) into (* -1/2 (* (sqrt (exp (* 3 (- (log -1) (log N))))) (/ 1 (sqrt 1/3)))) * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1/3 (pow (/ 1 (- N)) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log N))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/3 (exp (* 3 (- (log -1) (log N)))))) into (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (sqrt (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N))))))) into (* (sqrt (/ 1 (exp (* 3 (- (log -1) (log N)))))) (sqrt 1/3)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N))))))))) into (* -1/2 (* (sqrt (exp (* 3 (- (log -1) (log N))))) (/ 1 (sqrt 1/3)))) * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (exp (* 3 (- (log -1) (log N)))))) (sqrt 1/3)) into (* (sqrt (/ 1 (exp (* 3 (- (log -1) (log N)))))) (sqrt 1/3)) * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt (exp (* 3 (- (log -1) (log N))))) (/ 1 (sqrt 1/3)))) into (* -1/2 (* (sqrt (exp (* 3 (- (log -1) (log N))))) (/ 1 (sqrt 1/3)))) * [misc]backup-simplify: Simplify (- -1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) 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 1/2) (* 0 1)) 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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow (* -1/2 (* (sqrt (exp (* 3 (- (log -1) (log N))))) (/ 1 (sqrt 1/3)))) 2) (+)) (* 2 (* (sqrt (/ 1 (exp (* 3 (- (log -1) (log N)))))) (sqrt 1/3)))) into (* -1/2 (* (/ (+ (* 1/4 (/ (exp (* 3 (- (log -1) (log N)))) (pow (sqrt 1/3) 2))) 1/2) (sqrt 1/3)) (sqrt (exp (* 3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (* -1/2 (* (/ (+ (* 1/4 (/ (exp (* 3 (- (log -1) (log N)))) (pow (sqrt 1/3) 2))) 1/2) (sqrt 1/3)) (sqrt (exp (* 3 (- (log -1) (log N))))))) into (* -1/2 (* (/ (+ (* 1/4 (/ (exp (* 3 (- (log -1) (log N)))) (pow (sqrt 1/3) 2))) 1/2) (sqrt 1/3)) (sqrt (exp (* 3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (* (/ (+ (* 1/4 (/ (exp (* 3 (- (log -1) (log (/ 1 (- N)))))) (pow (sqrt 1/3) 2))) 1/2) (sqrt 1/3)) (sqrt (exp (* 3 (- (log -1) (log (/ 1 (- N))))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/2 (* (sqrt (exp (* 3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (sqrt 1/3)))) (/ 1 (- N))) (* (sqrt (/ 1 (exp (* 3 (- (log -1) (log (/ 1 (- N)))))))) (sqrt 1/3)))) into (- (+ (* 1/2 (* (sqrt (exp (* 3 (- (log -1) (log (/ -1 N)))))) (/ 1 (* N (sqrt 1/3))))) (* (sqrt (/ 1 (exp (* 3 (- (log -1) (log (/ -1 N))))))) (sqrt 1/3))) (+ (* 1/4 (* (sqrt (exp (* 3 (- (log -1) (log (/ -1 N)))))) (/ 1 (* (pow N 2) (sqrt 1/3))))) (* 1/8 (* (sqrt (pow (exp (* 3 (- (log -1) (log (/ -1 N))))) 3)) (/ 1 (* (pow N 2) (pow (sqrt 1/3) 3))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 N) (- 1 (/ 1/2 N))) (/ 1/3 (pow N 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (- 1 (/ 1/2 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 (/ 1/2 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 N) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]backup-simplify: Simplify (+ 0 1/3) into 1/3 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1/3 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 N) (- 1 (/ 1/2 N))) (/ 1/3 (pow N 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (- 1 (/ 1/2 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 (/ 1/2 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 N) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]backup-simplify: Simplify (+ 0 1/3) into 1/3 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1/3 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (/ 0 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 -1/2)) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 N) (+ +nan.0 (* +nan.0 (/ 1 N)))) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) * [misc]approximate: Taking taylor expansion of (sqrt (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1/3 (pow (/ 1 N) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (/ 1/3 (pow N -3)) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/3 (pow N 3))) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (sqrt (* 1/3 (pow N 3))) into (* (sqrt (pow N 3)) (sqrt 1/3)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 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 (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (* 1/3 (pow N 3))))) into (* 1/2 (* (sqrt (/ 1 (pow N 3))) (/ 1 (sqrt 1/3)))) * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1/3 (pow (/ 1 N) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (/ 1/3 (pow N -3)) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/3 (pow N 3))) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (sqrt (* 1/3 (pow N 3))) into (* (sqrt (pow N 3)) (sqrt 1/3)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 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 (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt (* 1/3 (pow N 3))))) into (* 1/2 (* (sqrt (/ 1 (pow N 3))) (/ 1 (sqrt 1/3)))) * [misc]backup-simplify: Simplify (* (sqrt (pow N 3)) (sqrt 1/3)) into (* (sqrt (pow N 3)) (sqrt 1/3)) * [misc]backup-simplify: Simplify (* 1/2 (* (sqrt (/ 1 (pow N 3))) (/ 1 (sqrt 1/3)))) into (* 1/2 (* (sqrt (/ 1 (pow N 3))) (/ 1 (sqrt 1/3)))) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (* 0 1)) 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 (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow (* 1/2 (* (sqrt (/ 1 (pow N 3))) (/ 1 (sqrt 1/3)))) 2) (+)) (* 2 (* (sqrt (pow N 3)) (sqrt 1/3)))) into (* -1/2 (* (/ (+ (* 1/4 (/ 1 (* (pow N 3) (pow (sqrt 1/3) 2)))) 1/2) (sqrt 1/3)) (sqrt (/ 1 (pow N 3))))) * [misc]backup-simplify: Simplify (* -1/2 (* (/ (+ (* 1/4 (/ 1 (* (pow N 3) (pow (sqrt 1/3) 2)))) 1/2) (sqrt 1/3)) (sqrt (/ 1 (pow N 3))))) into (* -1/2 (* (/ (+ (* 1/4 (/ 1 (* (pow N 3) (pow (sqrt 1/3) 2)))) 1/2) (sqrt 1/3)) (sqrt (/ 1 (pow N 3))))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (* (/ (+ (* 1/4 (/ 1 (* (pow (/ 1 N) 3) (pow (sqrt 1/3) 2)))) 1/2) (sqrt 1/3)) (sqrt (/ 1 (pow (/ 1 N) 3))))) (pow (/ 1 N) 2)) (+ (* (* 1/2 (* (sqrt (/ 1 (pow (/ 1 N) 3))) (/ 1 (sqrt 1/3)))) (/ 1 N)) (* (sqrt (pow (/ 1 N) 3)) (sqrt 1/3)))) into (- (+ (* 1/2 (* (sqrt N) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 (pow N 3))) (sqrt 1/3))) (+ (* 1/8 (* (sqrt (pow N 5)) (/ 1 (pow (sqrt 1/3) 3)))) (* 1/4 (* (sqrt (/ 1 N)) (/ 1 (sqrt 1/3)))))) * [misc]approximate: Taking taylor expansion of (sqrt (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1/3 (pow (/ 1 (- N)) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log N))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/3 (exp (* 3 (- (log -1) (log N)))))) into (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (sqrt (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N))))))) into (* (sqrt (/ 1 (exp (* 3 (- (log -1) (log N)))))) (sqrt 1/3)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N))))))))) into (* -1/2 (* (sqrt (exp (* 3 (- (log -1) (log N))))) (/ 1 (sqrt 1/3)))) * [misc]taylor: Taking taylor expansion of (sqrt (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1/3 (pow (/ 1 (- N)) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log N))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/3 (exp (* 3 (- (log -1) (log N)))))) into (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (sqrt (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N))))))) into (* (sqrt (/ 1 (exp (* 3 (- (log -1) (log N)))))) (sqrt 1/3)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N))))))))) into (* -1/2 (* (sqrt (exp (* 3 (- (log -1) (log N))))) (/ 1 (sqrt 1/3)))) * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (exp (* 3 (- (log -1) (log N)))))) (sqrt 1/3)) into (* (sqrt (/ 1 (exp (* 3 (- (log -1) (log N)))))) (sqrt 1/3)) * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt (exp (* 3 (- (log -1) (log N))))) (/ 1 (sqrt 1/3)))) into (* -1/2 (* (sqrt (exp (* 3 (- (log -1) (log N))))) (/ 1 (sqrt 1/3)))) * [misc]backup-simplify: Simplify (- -1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) 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 1/2) (* 0 1)) 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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (pow (* -1/2 (* (sqrt (exp (* 3 (- (log -1) (log N))))) (/ 1 (sqrt 1/3)))) 2) (+)) (* 2 (* (sqrt (/ 1 (exp (* 3 (- (log -1) (log N)))))) (sqrt 1/3)))) into (* -1/2 (* (/ (+ (* 1/4 (/ (exp (* 3 (- (log -1) (log N)))) (pow (sqrt 1/3) 2))) 1/2) (sqrt 1/3)) (sqrt (exp (* 3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (* -1/2 (* (/ (+ (* 1/4 (/ (exp (* 3 (- (log -1) (log N)))) (pow (sqrt 1/3) 2))) 1/2) (sqrt 1/3)) (sqrt (exp (* 3 (- (log -1) (log N))))))) into (* -1/2 (* (/ (+ (* 1/4 (/ (exp (* 3 (- (log -1) (log N)))) (pow (sqrt 1/3) 2))) 1/2) (sqrt 1/3)) (sqrt (exp (* 3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (* (/ (+ (* 1/4 (/ (exp (* 3 (- (log -1) (log (/ 1 (- N)))))) (pow (sqrt 1/3) 2))) 1/2) (sqrt 1/3)) (sqrt (exp (* 3 (- (log -1) (log (/ 1 (- N))))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/2 (* (sqrt (exp (* 3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (sqrt 1/3)))) (/ 1 (- N))) (* (sqrt (/ 1 (exp (* 3 (- (log -1) (log (/ 1 (- N)))))))) (sqrt 1/3)))) into (- (+ (* 1/2 (* (sqrt (exp (* 3 (- (log -1) (log (/ -1 N)))))) (/ 1 (* N (sqrt 1/3))))) (* (sqrt (/ 1 (exp (* 3 (- (log -1) (log (/ -1 N))))))) (sqrt 1/3))) (+ (* 1/4 (* (sqrt (exp (* 3 (- (log -1) (log (/ -1 N)))))) (/ 1 (* (pow N 2) (sqrt 1/3))))) (* 1/8 (* (sqrt (pow (exp (* 3 (- (log -1) (log (/ -1 N))))) 3)) (/ 1 (* (pow N 2) (pow (sqrt 1/3) 3))))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 3) * [misc]approximate: Taking taylor expansion of (/ 1/3 (pow N 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [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 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) * [misc]approximate: Taking taylor expansion of (/ 1/3 (pow (/ 1 N) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (/ 1/3 (pow N -3)) into (* 1/3 (pow N 3)) * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (/ 1/3 (pow N -3)) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (* 1/3 (pow N 3)) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) * [misc]approximate: Taking taylor expansion of (/ 1/3 (pow (/ 1 (- N)) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log N))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log N))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log N))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log (/ 1 (- N))))))) into (/ 1/3 (exp (* 3 (- (log -1) (log (/ -1 N)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 3) * [misc]approximate: Taking taylor expansion of (/ 1/3 (pow N 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [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 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) * [misc]approximate: Taking taylor expansion of (/ 1/3 (pow (/ 1 N) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (/ 1/3 (pow N -3)) into (* 1/3 (pow N 3)) * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (/ 1/3 (pow N -3)) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (* 1/3 (pow N 3)) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 N) 3)) into (/ 1/3 (pow N 3)) * [misc]approximate: Taking taylor expansion of (/ 1/3 (pow (/ 1 (- N)) 3)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log N))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log N))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log N))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log (/ 1 (- N))))))) into (/ 1/3 (exp (* 3 (- (log -1) (log (/ -1 N)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 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 # * * * * [misc]progress: [ 6 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (255 enodes) * [exit]simplify: Simplified to (fabs (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (* (fabs (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3))))) (sqrt (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))))) * * * * [misc]progress: [ 10 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (* (sqrt (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) (sqrt (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))))) * * * * [misc]progress: [ 11 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (* (sqrt 1) (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))))) * * * * [misc]progress: [ 12 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (251 enodes) * [exit]simplify: Simplified to (sqrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (fabs (sqrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3))))))) * * * * [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 # * * * * [misc]progress: [ 19 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (255 enodes) * [exit]simplify: Simplified to (fabs (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (fabs (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3))))) (sqrt (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 24 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (sqrt (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) (sqrt (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 25 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (sqrt 1) (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 26 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (251 enodes) * [exit]simplify: Simplified to (sqrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (fabs (sqrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3))))) (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [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 # * * * * [misc]progress: [ 37 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow N 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to N * [misc]simplify: Simplified (2 2 1 3 2) to (λ (N) (* (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ (/ 1/3 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) N))))) * * * * [misc]progress: [ 43 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* N N) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* N N) * [misc]simplify: Simplified (2 2 1 3 2) to (λ (N) (* (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ (/ 1/3 N) (* N N)))))) * * * * [misc]progress: [ 44 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow N 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (pow N 3)) * [misc]simplify: Simplified (2 2 1 3 2) to (λ (N) (* (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ (/ 1/3 (sqrt (pow N 3))) (sqrt (pow N 3))))))) * * * * [misc]progress: [ 45 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow N 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (pow N 3) * [misc]simplify: Simplified (2 2 1 3 2) to (λ (N) (* (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ (/ 1/3 1) (pow N 3)))))) * * * * [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 # * * * * [misc]progress: [ 55 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow N 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to N * [misc]simplify: Simplified (2 1 1 3 2) to (λ (N) (* (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ (/ 1/3 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) N))) (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 60 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* N N) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* N N) * [misc]simplify: Simplified (2 1 1 3 2) to (λ (N) (* (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ (/ 1/3 N) (* N N)))) (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 61 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow N 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt (pow N 3)) * [misc]simplify: Simplified (2 1 1 3 2) to (λ (N) (* (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ (/ 1/3 (sqrt (pow N 3))) (sqrt (pow N 3))))) (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 62 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow N 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (pow N 3) * [misc]simplify: Simplified (2 1 1 3 2) to (λ (N) (* (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ (/ 1/3 1) (pow N 3)))) (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 63 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 N) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) +nan.0)) * * * * [misc]progress: [ 64 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (* (sqrt N) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 (pow N 3))) (sqrt 1/3))) (+ (* 1/8 (* (sqrt (pow N 5)) (/ 1 (pow (sqrt 1/3) 3)))) (* 1/4 (* (sqrt (/ 1 N)) (/ 1 (sqrt 1/3)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (- (fma (sqrt (/ 1 (pow N 3))) (sqrt 1/3) (* (sqrt N) (/ 1/2 (sqrt 1/3)))) (fma (/ (sqrt (/ 1 N)) (sqrt 1/3)) 1/4 (/ (sqrt (pow N 5)) (/ (sqrt 1/3) (/ 1/8 1/3))))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (- (fma (sqrt (/ 1 (pow N 3))) (sqrt 1/3) (* (sqrt N) (/ 1/2 (sqrt 1/3)))) (fma (/ (sqrt (/ 1 N)) (sqrt 1/3)) 1/4 (/ (sqrt (pow N 5)) (/ (sqrt 1/3) (/ 1/8 1/3))))))) * * * * [misc]progress: [ 65 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (* (sqrt (exp (* 3 (- (log -1) (log (/ -1 N)))))) (/ 1 (* N (sqrt 1/3))))) (* (sqrt (/ 1 (exp (* 3 (- (log -1) (log (/ -1 N))))))) (sqrt 1/3))) (+ (* 1/4 (* (sqrt (exp (* 3 (- (log -1) (log (/ -1 N)))))) (/ 1 (* (pow N 2) (sqrt 1/3))))) (* 1/8 (* (sqrt (pow (exp (* 3 (- (log -1) (log (/ -1 N))))) 3)) (/ 1 (* (pow N 2) (pow (sqrt 1/3) 3))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (- (fma (sqrt 1/3) (sqrt (pow (exp (- 3)) (+ 0 (log N)))) (* (sqrt (pow (exp 3) (+ 0 (log N)))) (- (* (/ (/ 1 N) (sqrt 1/3)) 1/2) (/ (* 1/4 1) (* (sqrt 1/3) (pow N 2)))))) (/ (sqrt (pow (pow (exp 3) (+ 0 (log N))) 3)) (/ (* (* (pow N 2) 1/3) (sqrt 1/3)) 1/8))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (- (fma (sqrt 1/3) (sqrt (pow (exp (- 3)) (+ 0 (log N)))) (* (sqrt (pow (exp 3) (+ 0 (log N)))) (- (* (/ (/ 1 N) (sqrt 1/3)) 1/2) (/ (* 1/4 1) (* (sqrt 1/3) (pow N 2)))))) (/ (sqrt (pow (pow (exp 3) (+ 0 (log N))) 3)) (/ (* (* (pow N 2) 1/3) (sqrt 1/3)) 1/8))))) * * * * [misc]progress: [ 66 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 N) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) * [misc]simplify: Simplified (2 1) to (λ (N) (* +nan.0 (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 67 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (* (sqrt N) (/ 1 (sqrt 1/3)))) (* (sqrt (/ 1 (pow N 3))) (sqrt 1/3))) (+ (* 1/8 (* (sqrt (pow N 5)) (/ 1 (pow (sqrt 1/3) 3)))) (* 1/4 (* (sqrt (/ 1 N)) (/ 1 (sqrt 1/3)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (480 enodes) * [exit]simplify: Simplified to (- (fma (sqrt (/ 1 (pow N 3))) (sqrt 1/3) (* (sqrt N) (/ 1/2 (sqrt 1/3)))) (fma (/ (sqrt (/ 1 N)) (sqrt 1/3)) 1/4 (/ (sqrt (pow N 5)) (/ (sqrt 1/3) (/ 1/8 1/3))))) * [misc]simplify: Simplified (2 1) to (λ (N) (* (- (fma (sqrt (/ 1 (pow N 3))) (sqrt 1/3) (* (sqrt N) (/ 1/2 (sqrt 1/3)))) (fma (/ (sqrt (/ 1 N)) (sqrt 1/3)) 1/4 (/ (sqrt (pow N 5)) (/ (sqrt 1/3) (/ 1/8 1/3))))) (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 68 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (* (sqrt (exp (* 3 (- (log -1) (log (/ -1 N)))))) (/ 1 (* N (sqrt 1/3))))) (* (sqrt (/ 1 (exp (* 3 (- (log -1) (log (/ -1 N))))))) (sqrt 1/3))) (+ (* 1/4 (* (sqrt (exp (* 3 (- (log -1) (log (/ -1 N)))))) (/ 1 (* (pow N 2) (sqrt 1/3))))) (* 1/8 (* (sqrt (pow (exp (* 3 (- (log -1) (log (/ -1 N))))) 3)) (/ 1 (* (pow N 2) (pow (sqrt 1/3) 3))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (- (fma (sqrt 1/3) (sqrt (pow (exp (- 3)) (+ 0 (log N)))) (* (sqrt (pow (exp 3) (+ 0 (log N)))) (- (* (/ (/ 1 N) (sqrt 1/3)) 1/2) (/ (* 1/4 1) (* (sqrt 1/3) (pow N 2)))))) (/ (sqrt (pow (pow (exp 3) (+ 0 (log N))) 3)) (/ (* (* (pow N 2) 1/3) (sqrt 1/3)) 1/8))) * [misc]simplify: Simplified (2 1) to (λ (N) (* (- (fma (sqrt 1/3) (sqrt (pow (exp (- 3)) (+ 0 (log N)))) (* (sqrt (pow (exp 3) (+ 0 (log N)))) (- (* (/ (/ 1 N) (sqrt 1/3)) 1/2) (/ (* 1/4 1) (* (sqrt 1/3) (pow N 2)))))) (/ (sqrt (pow (pow (exp 3) (+ 0 (log N))) 3)) (/ (* (* (pow N 2) 1/3) (sqrt 1/3)) 1/8))) (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 69 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/3 (pow N 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ 1/3 (pow N 3)) * [misc]simplify: Simplified (2 2 1 3) to (λ (N) (* (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 70 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/3 (pow N 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ 1/3 (pow N 3)) * [misc]simplify: Simplified (2 2 1 3) to (λ (N) (* (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 71 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/3 (exp (* 3 (- (log -1) (log (/ -1 N)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (475 enodes) * [exit]simplify: Simplified to (/ 1/3 (pow N 3)) * [misc]simplify: Simplified (2 2 1 3) to (λ (N) (* (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 72 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/3 (pow N 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ 1/3 (pow N 3)) * [misc]simplify: Simplified (2 1 1 3) to (λ (N) (* (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 73 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/3 (pow N 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ 1/3 (pow N 3)) * [misc]simplify: Simplified (2 1 1 3) to (λ (N) (* (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 74 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/3 (exp (* 3 (- (log -1) (log (/ -1 N)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (475 enodes) * [exit]simplify: Simplified to (/ 1/3 (pow N 3)) * [misc]simplify: Simplified (2 1 1 3) to (λ (N) (* (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [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 (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 N) (- 1 (/ 1/2 N))) (/ 1/3 (pow N 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (- 1 (/ 1/2 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 (/ 1/2 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 N) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify (/ 1/3 1) 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 (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 N) (- 1 (/ 1/2 N))) (/ 1/3 (pow N 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (- 1 (/ 1/2 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 (/ 1/2 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 N) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify (/ 1/3 1) 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 (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) 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) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 -1/2)) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) 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 (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1/3 (pow (/ 1 N) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (/ 1/3 (pow N -3)) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/3 (pow N 3))) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (log (* 1/3 (pow N 3))) into (log (* 1/3 (pow N 3))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/3 (pow N 3)))) into (* 1/3 (log (* 1/3 (pow N 3)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/3 (pow N 3))))) into (pow (* 1/3 (pow N 3)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1/3 (pow (/ 1 N) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (/ 1/3 (pow N -3)) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/3 (pow N 3))) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (log (* 1/3 (pow N 3))) into (log (* 1/3 (pow N 3))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/3 (pow N 3)))) into (* 1/3 (log (* 1/3 (pow N 3)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/3 (pow N 3))))) into (pow (* 1/3 (pow N 3)) 1/3) * [misc]backup-simplify: Simplify (pow (* 1/3 (pow N 3)) 1/3) into (pow (* 1/3 (pow N 3)) 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 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 (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (* 1/3 (pow N 3)) 1)))) 1) into (/ 3 (pow N 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 3 (pow N 3))) (* 0 (log (* 1/3 (pow N 3))))) into (/ 1 (pow N 3)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/3 (pow N 3))))) (+ (* (/ (pow (/ 1 (pow N 3)) 1) 1)))) into (* (pow 1/3 1/3) (/ 1 (pow N 2))) * [misc]backup-simplify: Simplify (* (pow 1/3 1/3) (/ 1 (pow N 2))) into (* (pow 1/3 1/3) (/ 1 (pow N 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (* 0 1)) 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 (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (* 1/3 (pow N 3)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (* 1/3 (pow N 3)) 1)))) 2) into (* -1/2 (+ (* 9 (/ 1 (pow N 6))) (* 3 (/ 1 (pow N 3))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (* 9 (/ 1 (pow N 6))) (* 3 (/ 1 (pow N 3)))))) (+ (* 0 (/ 3 (pow N 3))) (* 0 (log (* 1/3 (pow N 3)))))) into (- (+ (* 3/2 (/ 1 (pow N 6))) (* 1/2 (/ 1 (pow N 3))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/3 (pow N 3))))) (+ (* (/ (pow (/ 1 (pow N 3)) 2) 2)) (* (/ (pow (- (+ (* 3/2 (/ 1 (pow N 6))) (* 1/2 (/ 1 (pow N 3))))) 1) 1)))) into (* -1 (* (* (+ (/ 1 (pow N 6)) (* 1/2 (/ 1 (pow N 3)))) N) (pow 1/3 1/3))) * [misc]backup-simplify: Simplify (* -1 (* (* (+ (/ 1 (pow N 6)) (* 1/2 (/ 1 (pow N 3)))) N) (pow 1/3 1/3))) into (* -1 (* (* (+ (/ 1 (pow N 6)) (* 1/2 (/ 1 (pow N 3)))) N) (pow 1/3 1/3))) * [misc]backup-simplify: Simplify (+ (* (* -1 (* (* (+ (/ 1 (pow (/ 1 N) 6)) (* 1/2 (/ 1 (pow (/ 1 N) 3)))) (/ 1 N)) (pow 1/3 1/3))) (pow (/ 1 N) 2)) (+ (* (* (pow 1/3 1/3) (/ 1 (pow (/ 1 N) 2))) (/ 1 N)) (pow (* 1/3 (pow (/ 1 N) 3)) 1/3))) into (- (+ (pow (/ 1/3 (pow N 3)) 1/3) (* (pow 1/3 1/3) N)) (+ (* (pow N 3) (pow 1/3 1/3)) (* 1/2 (pow 1/3 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1/3 (pow (/ 1 (- N)) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log N))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/3 (exp (* 3 (- (log -1) (log N)))))) into (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (log (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N))))))) into (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N))))))) into (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))))) into (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1/3 (pow (/ 1 (- N)) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log N))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/3 (exp (* 3 (- (log -1) (log N)))))) into (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (log (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N))))))) into (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N))))))) into (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))))) into (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3) * [misc]backup-simplify: Simplify (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3) into (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) 1)))) 1) into (* -3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -3 (exp (* 3 (- (log -1) (log N)))))) (* 0 (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))))) into (- (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))))) (+ (* (/ (pow (- (exp (* 3 (- (log -1) (log N))))) 1) 1)))) into (* -1 (pow (* 1/3 (pow (exp (* 3 (- (log -1) (log N)))) 2)) 1/3)) * [misc]backup-simplify: Simplify (* -1 (pow (* 1/3 (pow (exp (* 3 (- (log -1) (log N)))) 2)) 1/3)) into (* -1 (pow (* 1/3 (pow (exp (* 3 (- (log -1) (log N)))) 2)) 1/3)) * [misc]backup-simplify: Simplify (- -1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) 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 1/2) (* 0 1)) 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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) 1)))) 2) into (* -1/2 (+ (* 9 (pow (exp (* 3 (- (log -1) (log N)))) 2)) (* 3 (exp (* 3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (* 9 (pow (exp (* 3 (- (log -1) (log N)))) 2)) (* 3 (exp (* 3 (- (log -1) (log N)))))))) (+ (* 0 (* -3 (exp (* 3 (- (log -1) (log N)))))) (* 0 (log (/ 1/3 (exp (* 3 (- (log -1) (log N))))))))) into (- (+ (* 3/2 (pow (exp (* 3 (- (log -1) (log N)))) 2)) (* 1/2 (exp (* 3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))))) (+ (* (/ (pow (- (exp (* 3 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 3/2 (pow (exp (* 3 (- (log -1) (log N)))) 2)) (* 1/2 (exp (* 3 (- (log -1) (log N))))))) 1) 1)))) into (* -1 (* (+ (pow (exp (* 3 (- (log -1) (log N)))) 2) (* 1/2 (exp (* 3 (- (log -1) (log N)))))) (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3))) * [misc]backup-simplify: Simplify (* -1 (* (+ (pow (exp (* 3 (- (log -1) (log N)))) 2) (* 1/2 (exp (* 3 (- (log -1) (log N)))))) (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3))) into (* -1 (* (+ (pow (exp (* 3 (- (log -1) (log N)))) 2) (* 1/2 (exp (* 3 (- (log -1) (log N)))))) (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3))) * [misc]backup-simplify: Simplify (+ (* (* -1 (* (+ (pow (exp (* 3 (- (log -1) (log (/ 1 (- N)))))) 2) (* 1/2 (exp (* 3 (- (log -1) (log (/ 1 (- N)))))))) (pow (/ 1/3 (exp (* 3 (- (log -1) (log (/ 1 (- N))))))) 1/3))) (pow (/ 1 (- N)) 2)) (+ (* (* -1 (pow (* 1/3 (pow (exp (* 3 (- (log -1) (log (/ 1 (- N)))))) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1/3 (exp (* 3 (- (log -1) (log (/ 1 (- N))))))) 1/3))) into (- (+ (* (pow (* (pow (exp (* 3 (- (log -1) (log (/ -1 N))))) 2) 1/3) 1/3) (/ 1 N)) (pow (/ 1/3 (exp (* 3 (- (log -1) (log (/ -1 N)))))) 1/3)) (+ (* 1/2 (* (pow (* (pow (exp (* 3 (- (log -1) (log (/ -1 N))))) 2) 1/3) 1/3) (/ 1 (pow N 2)))) (* (pow (* (pow (exp (* 3 (- (log -1) (log (/ -1 N))))) 5) 1/3) 1/3) (/ 1 (pow N 2))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 N) (- 1 (/ 1/2 N))) (/ 1/3 (pow N 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (- 1 (/ 1/2 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 (/ 1/2 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 N) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify (/ 1/3 1) 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 (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 N) (- 1 (/ 1/2 N))) (/ 1/3 (pow N 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (- 1 (/ 1/2 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 (/ 1/2 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 N) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify (/ 1/3 1) 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 (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) 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) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 -1/2)) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) 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 (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1/3 (pow (/ 1 N) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (/ 1/3 (pow N -3)) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/3 (pow N 3))) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (log (* 1/3 (pow N 3))) into (log (* 1/3 (pow N 3))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/3 (pow N 3)))) into (* 1/3 (log (* 1/3 (pow N 3)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/3 (pow N 3))))) into (pow (* 1/3 (pow N 3)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1/3 (pow (/ 1 N) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (/ 1/3 (pow N -3)) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/3 (pow N 3))) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (log (* 1/3 (pow N 3))) into (log (* 1/3 (pow N 3))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/3 (pow N 3)))) into (* 1/3 (log (* 1/3 (pow N 3)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/3 (pow N 3))))) into (pow (* 1/3 (pow N 3)) 1/3) * [misc]backup-simplify: Simplify (pow (* 1/3 (pow N 3)) 1/3) into (pow (* 1/3 (pow N 3)) 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 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 (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (* 1/3 (pow N 3)) 1)))) 1) into (/ 3 (pow N 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 3 (pow N 3))) (* 0 (log (* 1/3 (pow N 3))))) into (/ 1 (pow N 3)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/3 (pow N 3))))) (+ (* (/ (pow (/ 1 (pow N 3)) 1) 1)))) into (* (pow 1/3 1/3) (/ 1 (pow N 2))) * [misc]backup-simplify: Simplify (* (pow 1/3 1/3) (/ 1 (pow N 2))) into (* (pow 1/3 1/3) (/ 1 (pow N 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (* 0 1)) 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 (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (* 1/3 (pow N 3)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (* 1/3 (pow N 3)) 1)))) 2) into (* -1/2 (+ (* 9 (/ 1 (pow N 6))) (* 3 (/ 1 (pow N 3))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (* 9 (/ 1 (pow N 6))) (* 3 (/ 1 (pow N 3)))))) (+ (* 0 (/ 3 (pow N 3))) (* 0 (log (* 1/3 (pow N 3)))))) into (- (+ (* 3/2 (/ 1 (pow N 6))) (* 1/2 (/ 1 (pow N 3))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/3 (pow N 3))))) (+ (* (/ (pow (/ 1 (pow N 3)) 2) 2)) (* (/ (pow (- (+ (* 3/2 (/ 1 (pow N 6))) (* 1/2 (/ 1 (pow N 3))))) 1) 1)))) into (* -1 (* (* (+ (/ 1 (pow N 6)) (* 1/2 (/ 1 (pow N 3)))) N) (pow 1/3 1/3))) * [misc]backup-simplify: Simplify (* -1 (* (* (+ (/ 1 (pow N 6)) (* 1/2 (/ 1 (pow N 3)))) N) (pow 1/3 1/3))) into (* -1 (* (* (+ (/ 1 (pow N 6)) (* 1/2 (/ 1 (pow N 3)))) N) (pow 1/3 1/3))) * [misc]backup-simplify: Simplify (+ (* (* -1 (* (* (+ (/ 1 (pow (/ 1 N) 6)) (* 1/2 (/ 1 (pow (/ 1 N) 3)))) (/ 1 N)) (pow 1/3 1/3))) (pow (/ 1 N) 2)) (+ (* (* (pow 1/3 1/3) (/ 1 (pow (/ 1 N) 2))) (/ 1 N)) (pow (* 1/3 (pow (/ 1 N) 3)) 1/3))) into (- (+ (pow (/ 1/3 (pow N 3)) 1/3) (* (pow 1/3 1/3) N)) (+ (* (pow N 3) (pow 1/3 1/3)) (* 1/2 (pow 1/3 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1/3 (pow (/ 1 (- N)) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log N))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/3 (exp (* 3 (- (log -1) (log N)))))) into (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (log (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N))))))) into (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N))))))) into (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))))) into (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1/3 (pow (/ 1 (- N)) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log N))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/3 (exp (* 3 (- (log -1) (log N)))))) into (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (log (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N))))))) into (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N))))))) into (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))))) into (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3) * [misc]backup-simplify: Simplify (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3) into (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) 1)))) 1) into (* -3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -3 (exp (* 3 (- (log -1) (log N)))))) (* 0 (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))))) into (- (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))))) (+ (* (/ (pow (- (exp (* 3 (- (log -1) (log N))))) 1) 1)))) into (* -1 (pow (* 1/3 (pow (exp (* 3 (- (log -1) (log N)))) 2)) 1/3)) * [misc]backup-simplify: Simplify (* -1 (pow (* 1/3 (pow (exp (* 3 (- (log -1) (log N)))) 2)) 1/3)) into (* -1 (pow (* 1/3 (pow (exp (* 3 (- (log -1) (log N)))) 2)) 1/3)) * [misc]backup-simplify: Simplify (- -1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) 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 1/2) (* 0 1)) 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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) 1)))) 2) into (* -1/2 (+ (* 9 (pow (exp (* 3 (- (log -1) (log N)))) 2)) (* 3 (exp (* 3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (* 9 (pow (exp (* 3 (- (log -1) (log N)))) 2)) (* 3 (exp (* 3 (- (log -1) (log N)))))))) (+ (* 0 (* -3 (exp (* 3 (- (log -1) (log N)))))) (* 0 (log (/ 1/3 (exp (* 3 (- (log -1) (log N))))))))) into (- (+ (* 3/2 (pow (exp (* 3 (- (log -1) (log N)))) 2)) (* 1/2 (exp (* 3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))))) (+ (* (/ (pow (- (exp (* 3 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 3/2 (pow (exp (* 3 (- (log -1) (log N)))) 2)) (* 1/2 (exp (* 3 (- (log -1) (log N))))))) 1) 1)))) into (* -1 (* (+ (pow (exp (* 3 (- (log -1) (log N)))) 2) (* 1/2 (exp (* 3 (- (log -1) (log N)))))) (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3))) * [misc]backup-simplify: Simplify (* -1 (* (+ (pow (exp (* 3 (- (log -1) (log N)))) 2) (* 1/2 (exp (* 3 (- (log -1) (log N)))))) (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3))) into (* -1 (* (+ (pow (exp (* 3 (- (log -1) (log N)))) 2) (* 1/2 (exp (* 3 (- (log -1) (log N)))))) (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3))) * [misc]backup-simplify: Simplify (+ (* (* -1 (* (+ (pow (exp (* 3 (- (log -1) (log (/ 1 (- N)))))) 2) (* 1/2 (exp (* 3 (- (log -1) (log (/ 1 (- N)))))))) (pow (/ 1/3 (exp (* 3 (- (log -1) (log (/ 1 (- N))))))) 1/3))) (pow (/ 1 (- N)) 2)) (+ (* (* -1 (pow (* 1/3 (pow (exp (* 3 (- (log -1) (log (/ 1 (- N)))))) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1/3 (exp (* 3 (- (log -1) (log (/ 1 (- N))))))) 1/3))) into (- (+ (* (pow (* (pow (exp (* 3 (- (log -1) (log (/ -1 N))))) 2) 1/3) 1/3) (/ 1 N)) (pow (/ 1/3 (exp (* 3 (- (log -1) (log (/ -1 N)))))) 1/3)) (+ (* 1/2 (* (pow (* (pow (exp (* 3 (- (log -1) (log (/ -1 N))))) 2) 1/3) 1/3) (/ 1 (pow N 2)))) (* (pow (* (pow (exp (* 3 (- (log -1) (log (/ -1 N))))) 5) 1/3) 1/3) (/ 1 (pow N 2))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 N) (- 1 (/ 1/2 N))) (/ 1/3 (pow N 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (- 1 (/ 1/2 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 (/ 1/2 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 N) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify (/ 1/3 1) 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 (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 N) (- 1 (/ 1/2 N))) (/ 1/3 (pow N 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (- 1 (/ 1/2 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 (/ 1/2 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 N) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify (/ 1/3 1) 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 (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) 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) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 -1/2)) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) 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 (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1/3 (pow (/ 1 N) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (/ 1/3 (pow N -3)) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/3 (pow N 3))) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (log (* 1/3 (pow N 3))) into (log (* 1/3 (pow N 3))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/3 (pow N 3)))) into (* 1/3 (log (* 1/3 (pow N 3)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/3 (pow N 3))))) into (pow (* 1/3 (pow N 3)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1/3 (pow (/ 1 N) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (/ 1/3 (pow N -3)) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/3 (pow N 3))) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (log (* 1/3 (pow N 3))) into (log (* 1/3 (pow N 3))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/3 (pow N 3)))) into (* 1/3 (log (* 1/3 (pow N 3)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/3 (pow N 3))))) into (pow (* 1/3 (pow N 3)) 1/3) * [misc]backup-simplify: Simplify (pow (* 1/3 (pow N 3)) 1/3) into (pow (* 1/3 (pow N 3)) 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 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 (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (* 1/3 (pow N 3)) 1)))) 1) into (/ 3 (pow N 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 3 (pow N 3))) (* 0 (log (* 1/3 (pow N 3))))) into (/ 1 (pow N 3)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/3 (pow N 3))))) (+ (* (/ (pow (/ 1 (pow N 3)) 1) 1)))) into (* (pow 1/3 1/3) (/ 1 (pow N 2))) * [misc]backup-simplify: Simplify (* (pow 1/3 1/3) (/ 1 (pow N 2))) into (* (pow 1/3 1/3) (/ 1 (pow N 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (* 0 1)) 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 (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (* 1/3 (pow N 3)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (* 1/3 (pow N 3)) 1)))) 2) into (* -1/2 (+ (* 9 (/ 1 (pow N 6))) (* 3 (/ 1 (pow N 3))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (* 9 (/ 1 (pow N 6))) (* 3 (/ 1 (pow N 3)))))) (+ (* 0 (/ 3 (pow N 3))) (* 0 (log (* 1/3 (pow N 3)))))) into (- (+ (* 3/2 (/ 1 (pow N 6))) (* 1/2 (/ 1 (pow N 3))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/3 (pow N 3))))) (+ (* (/ (pow (/ 1 (pow N 3)) 2) 2)) (* (/ (pow (- (+ (* 3/2 (/ 1 (pow N 6))) (* 1/2 (/ 1 (pow N 3))))) 1) 1)))) into (* -1 (* (* (+ (/ 1 (pow N 6)) (* 1/2 (/ 1 (pow N 3)))) N) (pow 1/3 1/3))) * [misc]backup-simplify: Simplify (* -1 (* (* (+ (/ 1 (pow N 6)) (* 1/2 (/ 1 (pow N 3)))) N) (pow 1/3 1/3))) into (* -1 (* (* (+ (/ 1 (pow N 6)) (* 1/2 (/ 1 (pow N 3)))) N) (pow 1/3 1/3))) * [misc]backup-simplify: Simplify (+ (* (* -1 (* (* (+ (/ 1 (pow (/ 1 N) 6)) (* 1/2 (/ 1 (pow (/ 1 N) 3)))) (/ 1 N)) (pow 1/3 1/3))) (pow (/ 1 N) 2)) (+ (* (* (pow 1/3 1/3) (/ 1 (pow (/ 1 N) 2))) (/ 1 N)) (pow (* 1/3 (pow (/ 1 N) 3)) 1/3))) into (- (+ (pow (/ 1/3 (pow N 3)) 1/3) (* (pow 1/3 1/3) N)) (+ (* (pow N 3) (pow 1/3 1/3)) (* 1/2 (pow 1/3 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1/3 (pow (/ 1 (- N)) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log N))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/3 (exp (* 3 (- (log -1) (log N)))))) into (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (log (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N))))))) into (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N))))))) into (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))))) into (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1/3 (pow (/ 1 (- N)) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log N))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/3 (exp (* 3 (- (log -1) (log N)))))) into (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (log (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N))))))) into (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N))))))) into (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))))) into (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3) * [misc]backup-simplify: Simplify (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3) into (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) 1)))) 1) into (* -3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -3 (exp (* 3 (- (log -1) (log N)))))) (* 0 (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))))) into (- (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))))) (+ (* (/ (pow (- (exp (* 3 (- (log -1) (log N))))) 1) 1)))) into (* -1 (pow (* 1/3 (pow (exp (* 3 (- (log -1) (log N)))) 2)) 1/3)) * [misc]backup-simplify: Simplify (* -1 (pow (* 1/3 (pow (exp (* 3 (- (log -1) (log N)))) 2)) 1/3)) into (* -1 (pow (* 1/3 (pow (exp (* 3 (- (log -1) (log N)))) 2)) 1/3)) * [misc]backup-simplify: Simplify (- -1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) 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 1/2) (* 0 1)) 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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) 1)))) 2) into (* -1/2 (+ (* 9 (pow (exp (* 3 (- (log -1) (log N)))) 2)) (* 3 (exp (* 3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (* 9 (pow (exp (* 3 (- (log -1) (log N)))) 2)) (* 3 (exp (* 3 (- (log -1) (log N)))))))) (+ (* 0 (* -3 (exp (* 3 (- (log -1) (log N)))))) (* 0 (log (/ 1/3 (exp (* 3 (- (log -1) (log N))))))))) into (- (+ (* 3/2 (pow (exp (* 3 (- (log -1) (log N)))) 2)) (* 1/2 (exp (* 3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))))) (+ (* (/ (pow (- (exp (* 3 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 3/2 (pow (exp (* 3 (- (log -1) (log N)))) 2)) (* 1/2 (exp (* 3 (- (log -1) (log N))))))) 1) 1)))) into (* -1 (* (+ (pow (exp (* 3 (- (log -1) (log N)))) 2) (* 1/2 (exp (* 3 (- (log -1) (log N)))))) (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3))) * [misc]backup-simplify: Simplify (* -1 (* (+ (pow (exp (* 3 (- (log -1) (log N)))) 2) (* 1/2 (exp (* 3 (- (log -1) (log N)))))) (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3))) into (* -1 (* (+ (pow (exp (* 3 (- (log -1) (log N)))) 2) (* 1/2 (exp (* 3 (- (log -1) (log N)))))) (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3))) * [misc]backup-simplify: Simplify (+ (* (* -1 (* (+ (pow (exp (* 3 (- (log -1) (log (/ 1 (- N)))))) 2) (* 1/2 (exp (* 3 (- (log -1) (log (/ 1 (- N)))))))) (pow (/ 1/3 (exp (* 3 (- (log -1) (log (/ 1 (- N))))))) 1/3))) (pow (/ 1 (- N)) 2)) (+ (* (* -1 (pow (* 1/3 (pow (exp (* 3 (- (log -1) (log (/ 1 (- N)))))) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1/3 (exp (* 3 (- (log -1) (log (/ 1 (- N))))))) 1/3))) into (- (+ (* (pow (* (pow (exp (* 3 (- (log -1) (log (/ -1 N))))) 2) 1/3) 1/3) (/ 1 N)) (pow (/ 1/3 (exp (* 3 (- (log -1) (log (/ -1 N)))))) 1/3)) (+ (* 1/2 (* (pow (* (pow (exp (* 3 (- (log -1) (log (/ -1 N))))) 2) 1/3) 1/3) (/ 1 (pow N 2)))) (* (pow (* (pow (exp (* 3 (- (log -1) (log (/ -1 N))))) 5) 1/3) 1/3) (/ 1 (pow N 2))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) in N * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 N) (- 1 (/ 1/2 N))) (/ 1/3 (pow N 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (- 1 (/ 1/2 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 (/ 1/2 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 N) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify (/ 1/3 1) 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 (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 N) (- 1 (/ 1/2 N))) (/ 1/3 (pow N 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (- 1 (/ 1/2 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 (/ 1/2 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 N) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify (/ 1/3 1) 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 (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) in N * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 N) (- 1 (/ 1/2 N))) (/ 1/3 (pow N 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (- 1 (/ 1/2 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 (/ 1/2 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 N) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify (/ 1/3 1) 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 (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 N) (- 1 (/ 1/2 N))) (/ 1/3 (pow N 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (- 1 (/ 1/2 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 (/ 1/2 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 N) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow N 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow N 3) in N * [misc]backup-simplify: Simplify (/ 1/3 1) 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 (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) 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) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) 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) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 -1/2)) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) 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) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 -1/2)) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) 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 (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) (cbrt (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) (cbrt (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))))) in N * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1/3 (pow (/ 1 N) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (/ 1/3 (pow N -3)) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/3 (pow N 3))) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (log (* 1/3 (pow N 3))) into (log (* 1/3 (pow N 3))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/3 (pow N 3)))) into (* 1/3 (log (* 1/3 (pow N 3)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/3 (pow N 3))))) into (pow (* 1/3 (pow N 3)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1/3 (pow (/ 1 N) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (/ 1/3 (pow N -3)) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/3 (pow N 3))) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (log (* 1/3 (pow N 3))) into (log (* 1/3 (pow N 3))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/3 (pow N 3)))) into (* 1/3 (log (* 1/3 (pow N 3)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/3 (pow N 3))))) into (pow (* 1/3 (pow N 3)) 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) (cbrt (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))))) in N * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1/3 (pow (/ 1 N) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (/ 1/3 (pow N -3)) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/3 (pow N 3))) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (log (* 1/3 (pow N 3))) into (log (* 1/3 (pow N 3))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/3 (pow N 3)))) into (* 1/3 (log (* 1/3 (pow N 3)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/3 (pow N 3))))) into (pow (* 1/3 (pow N 3)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N))) (/ 1/3 (pow (/ 1 N) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 1 N)))) (/ 1/3 (pow (/ 1 N) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 N)) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 N) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log N))) into (* -3 (log N)) * [misc]backup-simplify: Simplify (exp (* -3 (log N))) into (pow N -3) * [misc]backup-simplify: Simplify (/ 1/3 (pow N -3)) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/3 (pow N 3))) into (* 1/3 (pow N 3)) * [misc]backup-simplify: Simplify (log (* 1/3 (pow N 3))) into (log (* 1/3 (pow N 3))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/3 (pow N 3)))) into (* 1/3 (log (* 1/3 (pow N 3)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/3 (pow N 3))))) into (pow (* 1/3 (pow N 3)) 1/3) * [misc]backup-simplify: Simplify (* (pow (* 1/3 (pow N 3)) 1/3) (pow (* 1/3 (pow N 3)) 1/3)) into (* (pow (pow 1/3 2) 1/3) (pow N 2)) * [misc]backup-simplify: Simplify (* (pow (pow 1/3 2) 1/3) (pow N 2)) into (* (pow N 2) (pow 1/9 1/3)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 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 (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (* 1/3 (pow N 3)) 1)))) 1) into (/ 3 (pow N 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 3 (pow N 3))) (* 0 (log (* 1/3 (pow N 3))))) into (/ 1 (pow N 3)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/3 (pow N 3))))) (+ (* (/ (pow (/ 1 (pow N 3)) 1) 1)))) into (* (pow 1/3 1/3) (/ 1 (pow N 2))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 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 (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (* 1/3 (pow N 3)) 1)))) 1) into (/ 3 (pow N 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 3 (pow N 3))) (* 0 (log (* 1/3 (pow N 3))))) into (/ 1 (pow N 3)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/3 (pow N 3))))) (+ (* (/ (pow (/ 1 (pow N 3)) 1) 1)))) into (* (pow 1/3 1/3) (/ 1 (pow N 2))) * [misc]backup-simplify: Simplify (+ (* (pow (* 1/3 (pow N 3)) 1/3) (* (pow 1/3 1/3) (/ 1 (pow N 2)))) (* (* (pow 1/3 1/3) (/ 1 (pow N 2))) (pow (* 1/3 (pow N 3)) 1/3))) into (* 2 (* (/ 1 N) (pow 1/9 1/3))) * [misc]backup-simplify: Simplify (* 2 (* (/ 1 N) (pow 1/9 1/3))) into (* 2 (* (/ 1 N) (pow 1/9 1/3))) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (* 0 1)) 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 (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (* 1/3 (pow N 3)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (* 1/3 (pow N 3)) 1)))) 2) into (* -1/2 (+ (* 9 (/ 1 (pow N 6))) (* 3 (/ 1 (pow N 3))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (* 9 (/ 1 (pow N 6))) (* 3 (/ 1 (pow N 3)))))) (+ (* 0 (/ 3 (pow N 3))) (* 0 (log (* 1/3 (pow N 3)))))) into (- (+ (* 3/2 (/ 1 (pow N 6))) (* 1/2 (/ 1 (pow N 3))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/3 (pow N 3))))) (+ (* (/ (pow (/ 1 (pow N 3)) 2) 2)) (* (/ (pow (- (+ (* 3/2 (/ 1 (pow N 6))) (* 1/2 (/ 1 (pow N 3))))) 1) 1)))) into (* -1 (* (* (+ (/ 1 (pow N 6)) (* 1/2 (/ 1 (pow N 3)))) N) (pow 1/3 1/3))) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (* 0 1)) 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 (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow N -3)) (+ (* (* 1/3 (pow N 3)) (/ 0 (pow N -3))) (* 0 (/ 0 (pow N -3))))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (* 1/3 (pow N 3)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (* 1/3 (pow N 3)) 1)))) 2) into (* -1/2 (+ (* 9 (/ 1 (pow N 6))) (* 3 (/ 1 (pow N 3))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (* 9 (/ 1 (pow N 6))) (* 3 (/ 1 (pow N 3)))))) (+ (* 0 (/ 3 (pow N 3))) (* 0 (log (* 1/3 (pow N 3)))))) into (- (+ (* 3/2 (/ 1 (pow N 6))) (* 1/2 (/ 1 (pow N 3))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/3 (pow N 3))))) (+ (* (/ (pow (/ 1 (pow N 3)) 2) 2)) (* (/ (pow (- (+ (* 3/2 (/ 1 (pow N 6))) (* 1/2 (/ 1 (pow N 3))))) 1) 1)))) into (* -1 (* (* (+ (/ 1 (pow N 6)) (* 1/2 (/ 1 (pow N 3)))) N) (pow 1/3 1/3))) * [misc]backup-simplify: Simplify (+ (* (pow (* 1/3 (pow N 3)) 1/3) (* -1 (* (* (+ (/ 1 (pow N 6)) (* 1/2 (/ 1 (pow N 3)))) N) (pow 1/3 1/3)))) (+ (* (* (pow 1/3 1/3) (/ 1 (pow N 2))) (* (pow 1/3 1/3) (/ 1 (pow N 2)))) (* (* -1 (* (* (+ (/ 1 (pow N 6)) (* 1/2 (/ 1 (pow N 3)))) N) (pow 1/3 1/3))) (pow (* 1/3 (pow N 3)) 1/3)))) into (- (+ (* (/ 1 (pow N 4)) (pow 1/9 1/3)) (* (/ 1 N) (pow 1/9 1/3)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow N 4)) (pow 1/9 1/3)) (* (/ 1 N) (pow 1/9 1/3)))) into (- (+ (* (/ 1 (pow N 4)) (pow 1/9 1/3)) (* (/ 1 N) (pow 1/9 1/3)))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* (/ 1 (pow (/ 1 N) 4)) (pow 1/9 1/3)) (* (/ 1 (/ 1 N)) (pow 1/9 1/3)))) (pow (/ 1 N) 2)) (+ (* (* 2 (* (/ 1 (/ 1 N)) (pow 1/9 1/3))) (/ 1 N)) (* (pow (/ 1 N) 2) (pow 1/9 1/3)))) into (- (+ (* 2 (pow 1/9 1/3)) (* (/ 1 (pow N 2)) (pow 1/9 1/3))) (+ (* (pow N 2) (pow 1/9 1/3)) (* (/ 1 N) (pow 1/9 1/3)))) * [misc]approximate: Taking taylor expansion of (* (cbrt (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) (cbrt (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) (cbrt (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))))) in N * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1/3 (pow (/ 1 (- N)) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log N))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/3 (exp (* 3 (- (log -1) (log N)))))) into (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (log (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N))))))) into (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N))))))) into (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))))) into (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1/3 (pow (/ 1 (- N)) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log N))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/3 (exp (* 3 (- (log -1) (log N)))))) into (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (log (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N))))))) into (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N))))))) into (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))))) into (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) (cbrt (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))))) in N * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1/3 (pow (/ 1 (- N)) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log N))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/3 (exp (* 3 (- (log -1) (log N)))))) into (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (log (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N))))))) into (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N))))))) into (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))))) into (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in N * [misc]taylor: Rewrote expression to (pow (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3)))) in N * [misc]taylor: Taking taylor expansion of (fma (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N)))) (/ 1/3 (pow (/ 1 (- N)) 3))) in N * [misc]taylor: Rewrote expression to (+ (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 1 (- N))))) (/ 1/3 (pow (/ 1 (- N)) 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- N))) (- 1 (/ 1/2 (/ 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 (/ 1/2 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1/3 (pow (/ 1 (- N)) 3)) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 3) in N * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log N))) into (* 3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log N)))) into (exp (* 3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (/ 1/3 (exp (* 3 (- (log -1) (log N))))) into (/ 1/3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ 0 (/ 1/3 (exp (* 3 (- (log -1) (log N)))))) into (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (log (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N))))))) into (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N))))))) into (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))))) into (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3) * [misc]backup-simplify: Simplify (* (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3) (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3)) into (pow (/ (pow 1/3 2) (pow (exp (* 3 (- (log -1) (log N)))) 2)) 1/3) * [misc]backup-simplify: Simplify (pow (/ (pow 1/3 2) (pow (exp (* 3 (- (log -1) (log N)))) 2)) 1/3) into (pow (/ 1/9 (pow (exp (* 3 (- (log -1) (log N)))) 2)) 1/3) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) 1)))) 1) into (* -3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -3 (exp (* 3 (- (log -1) (log N)))))) (* 0 (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))))) into (- (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))))) (+ (* (/ (pow (- (exp (* 3 (- (log -1) (log N))))) 1) 1)))) into (* -1 (pow (* 1/3 (pow (exp (* 3 (- (log -1) (log N)))) 2)) 1/3)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) 1)))) 1) into (* -3 (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -3 (exp (* 3 (- (log -1) (log N)))))) (* 0 (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))))) into (- (exp (* 3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))))) (+ (* (/ (pow (- (exp (* 3 (- (log -1) (log N))))) 1) 1)))) into (* -1 (pow (* 1/3 (pow (exp (* 3 (- (log -1) (log N)))) 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3) (* -1 (pow (* 1/3 (pow (exp (* 3 (- (log -1) (log N)))) 2)) 1/3))) (* (* -1 (pow (* 1/3 (pow (exp (* 3 (- (log -1) (log N)))) 2)) 1/3)) (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3))) into (- (* 2 (pow (* (exp (* 3 (- (log -1) (log N)))) 1/9) 1/3))) * [misc]backup-simplify: Simplify (- (* 2 (pow (* (exp (* 3 (- (log -1) (log N)))) 1/9) 1/3))) into (- (* 2 (pow (* (exp (* 3 (- (log -1) (log N)))) 1/9) 1/3))) * [misc]backup-simplify: Simplify (- -1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) 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 1/2) (* 0 1)) 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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) 1)))) 2) into (* -1/2 (+ (* 9 (pow (exp (* 3 (- (log -1) (log N)))) 2)) (* 3 (exp (* 3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (* 9 (pow (exp (* 3 (- (log -1) (log N)))) 2)) (* 3 (exp (* 3 (- (log -1) (log N)))))))) (+ (* 0 (* -3 (exp (* 3 (- (log -1) (log N)))))) (* 0 (log (/ 1/3 (exp (* 3 (- (log -1) (log N))))))))) into (- (+ (* 3/2 (pow (exp (* 3 (- (log -1) (log N)))) 2)) (* 1/2 (exp (* 3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))))) (+ (* (/ (pow (- (exp (* 3 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 3/2 (pow (exp (* 3 (- (log -1) (log N)))) 2)) (* 1/2 (exp (* 3 (- (log -1) (log N))))))) 1) 1)))) into (* -1 (* (+ (pow (exp (* 3 (- (log -1) (log N)))) 2) (* 1/2 (exp (* 3 (- (log -1) (log N)))))) (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3))) * [misc]backup-simplify: Simplify (- -1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) 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 1/2) (* 0 1)) 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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* 3 (- (log -1) (log N))))) (+ (* (/ 1/3 (exp (* 3 (- (log -1) (log N))))) (/ 0 (exp (* 3 (- (log -1) (log N)))))) (* 0 (/ 0 (exp (* 3 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (* 1/3 (/ 1 (exp (* 3 (- (log -1) (log N)))))) 1)))) 2) into (* -1/2 (+ (* 9 (pow (exp (* 3 (- (log -1) (log N)))) 2)) (* 3 (exp (* 3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (* 9 (pow (exp (* 3 (- (log -1) (log N)))) 2)) (* 3 (exp (* 3 (- (log -1) (log N)))))))) (+ (* 0 (* -3 (exp (* 3 (- (log -1) (log N)))))) (* 0 (log (/ 1/3 (exp (* 3 (- (log -1) (log N))))))))) into (- (+ (* 3/2 (pow (exp (* 3 (- (log -1) (log N)))) 2)) (* 1/2 (exp (* 3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1/3 (exp (* 3 (- (log -1) (log N)))))))) (+ (* (/ (pow (- (exp (* 3 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 3/2 (pow (exp (* 3 (- (log -1) (log N)))) 2)) (* 1/2 (exp (* 3 (- (log -1) (log N))))))) 1) 1)))) into (* -1 (* (+ (pow (exp (* 3 (- (log -1) (log N)))) 2) (* 1/2 (exp (* 3 (- (log -1) (log N)))))) (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3))) * [misc]backup-simplify: Simplify (+ (* (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3) (* -1 (* (+ (pow (exp (* 3 (- (log -1) (log N)))) 2) (* 1/2 (exp (* 3 (- (log -1) (log N)))))) (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3)))) (+ (* (* -1 (pow (* 1/3 (pow (exp (* 3 (- (log -1) (log N)))) 2)) 1/3)) (* -1 (pow (* 1/3 (pow (exp (* 3 (- (log -1) (log N)))) 2)) 1/3))) (* (* -1 (* (+ (pow (exp (* 3 (- (log -1) (log N)))) 2) (* 1/2 (exp (* 3 (- (log -1) (log N)))))) (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3))) (pow (/ 1/3 (exp (* 3 (- (log -1) (log N))))) 1/3)))) into (- (pow (* (pow 1/3 2) (pow (exp (* 3 (- (log -1) (log N)))) 4)) 1/3) (+ (* 2 (pow (* (pow (exp (* 3 (- (log -1) (log N)))) 4) 1/9) 1/3)) (pow (* (exp (* 3 (- (log -1) (log N)))) 1/9) 1/3))) * [misc]backup-simplify: Simplify (- (pow (* (pow 1/3 2) (pow (exp (* 3 (- (log -1) (log N)))) 4)) 1/3) (+ (* 2 (pow (* (pow (exp (* 3 (- (log -1) (log N)))) 4) 1/9) 1/3)) (pow (* (exp (* 3 (- (log -1) (log N)))) 1/9) 1/3))) into (- (pow (* 1/9 (pow (exp (* 3 (- (log -1) (log N)))) 4)) 1/3) (+ (* 2 (pow (* (pow (exp (* 3 (- (log -1) (log N)))) 4) 1/9) 1/3)) (pow (* 1/9 (exp (* 3 (- (log -1) (log N))))) 1/3))) * [misc]backup-simplify: Simplify (+ (* (- (pow (* 1/9 (pow (exp (* 3 (- (log -1) (log (/ 1 (- N)))))) 4)) 1/3) (+ (* 2 (pow (* (pow (exp (* 3 (- (log -1) (log (/ 1 (- N)))))) 4) 1/9) 1/3)) (pow (* 1/9 (exp (* 3 (- (log -1) (log (/ 1 (- N))))))) 1/3))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 2 (pow (* (exp (* 3 (- (log -1) (log (/ 1 (- N)))))) 1/9) 1/3))) (/ 1 (- N))) (pow (/ 1/9 (pow (exp (* 3 (- (log -1) (log (/ 1 (- N)))))) 2)) 1/3))) into (- (+ (pow (/ 1/9 (pow (exp (* 3 (- (log -1) (log (/ -1 N))))) 2)) 1/3) (* 2 (* (pow (* (exp (* 3 (- (log -1) (log (/ -1 N))))) 1/9) 1/3) (/ 1 N)))) (+ (* (pow (* (pow (exp (* 3 (- (log -1) (log (/ -1 N))))) 4) 1/9) 1/3) (/ 1 (pow N 2))) (* (pow (* (exp (* 3 (- (log -1) (log (/ -1 N))))) 1/9) 1/3) (/ 1 (pow N 2))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))) (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) (* (cbrt (* (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))) (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))))) (cbrt (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))))) * * * * [misc]progress: [ 8 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) (* (cbrt (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) (cbrt (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))))) * * * * [misc]progress: [ 9 / 81 ] 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 (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) (* (cbrt 1) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))))) * * * * [misc]progress: [ 10 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))) (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (* (* (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (* (cbrt (* (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))) (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))))) (cbrt (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 21 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (* (* (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (* (cbrt (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) (cbrt (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 22 / 81 ] 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 (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (* (cbrt 1) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 23 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))) (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (* (cbrt (* (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))) (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))))) (cbrt (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 34 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (* (cbrt (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) (cbrt (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 35 / 81 ] 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 (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 36 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (pow (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3))) (+ 1/3 1/3)) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * [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 (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) (+ 1/3 1/3)) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 43 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (251 enodes) * [exit]simplify: Simplified to (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (pow (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))) (+ 1 1)) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * [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 (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (+ 1 1)) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 44 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * [exit]simplify: Simplified to (* (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3))) (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (pow (* (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3))) (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))) 1/3) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 45 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (pow (* (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) 1) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 46 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (251 enodes) * [exit]simplify: Simplified to (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (pow (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))) (+ 1 1)) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 48 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) (log (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3))))) (log (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (exp (+ (log (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3))))) (log (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3))))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 50 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))) (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * [exit]simplify: Simplified to (* (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3))) (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (cbrt (* (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3))) (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 53 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (* (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (cbrt (* (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))))) (cbrt (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 58 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (* (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (cbrt (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) (cbrt (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 59 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (251 enodes) * [exit]simplify: Simplified to (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (* (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (cbrt 1)) (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 60 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (* (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (* (cbrt (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) (cbrt (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))))) (cbrt (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 61 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (* (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (sqrt (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) (sqrt (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 62 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (251 enodes) * [exit]simplify: Simplified to (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (* (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) 1) (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 63 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))) (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (cbrt (* (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))) (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))))) (* (cbrt (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 64 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (cbrt (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) (* (cbrt (sqrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 65 / 81 ] 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 (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 66 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) (cbrt (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3))))) (cbrt (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (* (cbrt (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3))))) (cbrt (cbrt (fma (- 1 (/ 1/2 N)) (/ 1 N) (/ 1/3 (pow N 3)))))) (* (cbrt (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 67 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (sqrt (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) (* (sqrt (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 68 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 81 ] 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 (40 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (456 enodes) * [exit]simplify: Simplified to (* (/ (cbrt 1/3) (pow (pow N 1/3) 3)) (fma N (fma 3/4 N (- 1/2)) 1)) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) (* (/ (cbrt 1/3) (pow (pow N 1/3) 3)) (fma N (fma 3/4 N (- 1/2)) 1)))) * * * * [misc]progress: [ 71 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow (/ 1/3 (pow N 3)) 1/3) (* (pow 1/3 1/3) N)) (+ (* (pow N 3) (pow 1/3 1/3)) (* 1/2 (pow 1/3 1/3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (385 enodes) * [exit]simplify: Simplified to (fma (- (- N 1/2) (pow N 3)) (cbrt 1/3) (cbrt (/ 1/3 (pow N 3)))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) (fma (- (- N 1/2) (pow N 3)) (cbrt 1/3) (cbrt (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 72 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (pow (* (pow (exp (* 3 (- (log -1) (log (/ -1 N))))) 2) 1/3) 1/3) (/ 1 N)) (pow (/ 1/3 (exp (* 3 (- (log -1) (log (/ -1 N)))))) 1/3)) (+ (* 1/2 (* (pow (* (pow (exp (* 3 (- (log -1) (log (/ -1 N))))) 2) 1/3) 1/3) (/ 1 (pow N 2)))) (* (pow (* (pow (exp (* 3 (- (log -1) (log (/ -1 N))))) 5) 1/3) 1/3) (/ 1 (pow N 2))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (363 enodes) * [exit]simplify: Simplified to (- (fma (cbrt (* (pow N (+ 3 3)) 1/3)) (- (/ 1 N) (/ (/ 1/2 N) N)) (cbrt (/ 1/3 (pow N 3)))) (/ (cbrt (* (pow (pow N 3) 5) 1/3)) (* N N))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) (- (fma (cbrt (* (pow N (+ 3 3)) 1/3)) (- (/ 1 N) (/ (/ 1/2 N) N)) (cbrt (/ 1/3 (pow N 3)))) (/ (cbrt (* (pow (pow N 3) 5) 1/3)) (* N N))))) * * * * [misc]progress: [ 73 / 81 ] 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 (40 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (456 enodes) * [exit]simplify: Simplified to (* (/ (cbrt 1/3) (pow (pow N 1/3) 3)) (fma N (fma 3/4 N (- 1/2)) 1)) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (* (/ (cbrt 1/3) (pow (pow N 1/3) 3)) (fma N (fma 3/4 N (- 1/2)) 1))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 74 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow (/ 1/3 (pow N 3)) 1/3) (* (pow 1/3 1/3) N)) (+ (* (pow N 3) (pow 1/3 1/3)) (* 1/2 (pow 1/3 1/3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (385 enodes) * [exit]simplify: Simplified to (fma (- (- N 1/2) (pow N 3)) (cbrt 1/3) (cbrt (/ 1/3 (pow N 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (fma (- (- N 1/2) (pow N 3)) (cbrt 1/3) (cbrt (/ 1/3 (pow N 3))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 75 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (pow (* (pow (exp (* 3 (- (log -1) (log (/ -1 N))))) 2) 1/3) 1/3) (/ 1 N)) (pow (/ 1/3 (exp (* 3 (- (log -1) (log (/ -1 N)))))) 1/3)) (+ (* 1/2 (* (pow (* (pow (exp (* 3 (- (log -1) (log (/ -1 N))))) 2) 1/3) 1/3) (/ 1 (pow N 2)))) (* (pow (* (pow (exp (* 3 (- (log -1) (log (/ -1 N))))) 5) 1/3) 1/3) (/ 1 (pow N 2))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (363 enodes) * [exit]simplify: Simplified to (- (fma (cbrt (* (pow N (+ 3 3)) 1/3)) (- (/ 1 N) (/ (/ 1/2 N) N)) (cbrt (/ 1/3 (pow N 3)))) (/ (cbrt (* (pow (pow N 3) 5) 1/3)) (* N N))) * [misc]simplify: Simplified (2 1 2) to (λ (N) (* (* (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))) (- (fma (cbrt (* (pow N (+ 3 3)) 1/3)) (- (/ 1 N) (/ (/ 1/2 N) N)) (cbrt (/ 1/3 (pow N 3)))) (/ (cbrt (* (pow (pow N 3) 5) 1/3)) (* N N)))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 76 / 81 ] 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 (40 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (456 enodes) * [exit]simplify: Simplified to (* (/ (cbrt 1/3) (pow (pow N 1/3) 3)) (fma N (fma 3/4 N (- 1/2)) 1)) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (* (/ (cbrt 1/3) (pow (pow N 1/3) 3)) (fma N (fma 3/4 N (- 1/2)) 1)) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 77 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow (/ 1/3 (pow N 3)) 1/3) (* (pow 1/3 1/3) N)) (+ (* (pow N 3) (pow 1/3 1/3)) (* 1/2 (pow 1/3 1/3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (385 enodes) * [exit]simplify: Simplified to (fma (- (- N 1/2) (pow N 3)) (cbrt 1/3) (cbrt (/ 1/3 (pow N 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (fma (- (- N 1/2) (pow N 3)) (cbrt 1/3) (cbrt (/ 1/3 (pow N 3)))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 78 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (pow (* (pow (exp (* 3 (- (log -1) (log (/ -1 N))))) 2) 1/3) 1/3) (/ 1 N)) (pow (/ 1/3 (exp (* 3 (- (log -1) (log (/ -1 N)))))) 1/3)) (+ (* 1/2 (* (pow (* (pow (exp (* 3 (- (log -1) (log (/ -1 N))))) 2) 1/3) 1/3) (/ 1 (pow N 2)))) (* (pow (* (pow (exp (* 3 (- (log -1) (log (/ -1 N))))) 5) 1/3) 1/3) (/ 1 (pow N 2))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (363 enodes) * [exit]simplify: Simplified to (- (fma (cbrt (* (pow N (+ 3 3)) 1/3)) (- (/ 1 N) (/ (/ 1/2 N) N)) (cbrt (/ 1/3 (pow N 3)))) (/ (cbrt (* (pow (pow N 3) 5) 1/3)) (* N N))) * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (- (fma (cbrt (* (pow N (+ 3 3)) 1/3)) (- (/ 1 N) (/ (/ 1/2 N) N)) (cbrt (/ 1/3 (pow N 3)))) (/ (cbrt (* (pow (pow N 3) 5) 1/3)) (* N N))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 79 / 81 ] 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 (37 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * [exit]simplify: Simplified to (* (- (fma (* 7/4 N) N 1) N) (exp (* (+ 1/3 1/3) (fma (- 3) (log N) (log 1/3))))) * [misc]simplify: Simplified (2 1) to (λ (N) (* (* (- (fma (* 7/4 N) N 1) N) (exp (* (+ 1/3 1/3) (fma (- 3) (log N) (log 1/3))))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 80 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (pow 1/9 1/3)) (* (/ 1 (pow N 2)) (pow 1/9 1/3))) (+ (* (pow N 2) (pow 1/9 1/3)) (* (/ 1 N) (pow 1/9 1/3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (312 enodes) * [exit]simplify: Simplified to (fma (cbrt 1/9) (- 2 (fma N N (/ 1 N))) (/ (cbrt 1/9) (* N N))) * [misc]simplify: Simplified (2 1) to (λ (N) (* (fma (cbrt 1/9) (- 2 (fma N N (/ 1 N))) (/ (cbrt 1/9) (* N N))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * * [misc]progress: [ 81 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow (/ 1/9 (pow (exp (* 3 (- (log -1) (log (/ -1 N))))) 2)) 1/3) (* 2 (* (pow (* (exp (* 3 (- (log -1) (log (/ -1 N))))) 1/9) 1/3) (/ 1 N)))) (+ (* (pow (* (pow (exp (* 3 (- (log -1) (log (/ -1 N))))) 4) 1/9) 1/3) (/ 1 (pow N 2))) (* (pow (* (exp (* 3 (- (log -1) (log (/ -1 N))))) 1/9) 1/3) (/ 1 (pow N 2))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (388 enodes) * [exit]simplify: Simplified to (- (+ (cbrt (/ 1/9 (pow N (+ 3 3)))) (* (- (/ 2 N) (/ 1 (pow N 2))) (cbrt (* (pow N 3) 1/9)))) (/ (cbrt (* (pow (pow N 3) 4) 1/9)) (pow N 2))) * [misc]simplify: Simplified (2 1) to (λ (N) (* (- (+ (cbrt (/ 1/9 (pow N (+ 3 3)))) (* (- (/ 2 N) (/ 1 (pow N 2))) (cbrt (* (pow N 3) 1/9)))) (/ (cbrt (* (pow (pow N 3) 4) 1/9)) (pow N 2))) (cbrt (fma (/ 1 N) (- 1 (/ 1/2 N)) (/ 1/3 (pow N 3)))))) * * * [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: #