* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ 1 N)) * [misc]taylor: Taking taylor expansion of (atan N) in N * [misc]backup-simplify: Simplify (atan N) into (atan N) * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ 1 N)) * [misc]taylor: Taking taylor expansion of (atan N) in N * [misc]backup-simplify: Simplify (atan N) into (atan N) * [misc]backup-simplify: Simplify (- (atan N)) into (- (atan N)) * [misc]backup-simplify: Simplify (+ (atan (+ 1 N)) (- (atan N))) into (- (atan (+ 1 N)) (atan N)) * [misc]backup-simplify: Simplify (- (atan (+ 1 N)) (atan N)) into (- (atan (+ 1 N)) (atan N)) * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (atan (+ 1 N)) (atan N)) into (- (atan (+ 1 N)) (atan N)) * [misc]approximate: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) * [misc]backup-simplify: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) * [misc]backup-simplify: Simplify (+ (atan (+ 1 (/ 1 N))) (- (atan (/ 1 N)))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * [misc]backup-simplify: Simplify (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * [misc]approximate: Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- N))) in N * [misc]backup-simplify: Simplify (atan (/ 1 (- N))) into (atan (/ -1 N)) * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- N))) in N * [misc]backup-simplify: Simplify (atan (/ 1 (- N))) into (atan (/ -1 N)) * [misc]backup-simplify: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) * [misc]backup-simplify: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ 1 N)) * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ 1 N)) * [misc]backup-simplify: Simplify (atan (+ 1 N)) into (atan (+ 1 N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (+ 1 N)) into (atan (+ 1 N)) * [misc]approximate: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N))) * [misc]backup-simplify: Simplify (atan (+ 1 (/ 1 N))) into (atan (+ 1 (/ 1 N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (+ 1 (/ 1 N))) into (atan (+ 1 (/ 1 N))) * [misc]approximate: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ 1 N)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * * [misc]progress: [ 2 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * * * * [misc]progress: [ 3 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * * * * [misc]progress: [ 4 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ 1 N)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * * [misc]progress: [ 5 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ 1 (/ 1 N))) (atan N)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 (/ 1 N))) (atan N)) * * * * [misc]progress: [ 6 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (- 1 (/ 1 N))) (atan N)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (- (atan (- 1 (/ 1 N))) (atan N)) * * * * [misc]progress: [ 7 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ N 1) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (+ 1 0) * [exit]simplify: Simplified to (+ 1 0) * [enter]simplify: Simplifying (+ 1 (* (+ N 1) N)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (+ 1 (+ N (sqr N))) * [exit]simplify: Simplified to (+ 1 (+ N (sqr N))) * * * * [misc]progress: [ 8 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (atan (+ N 1))) (exp (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (exp (- (atan (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (exp (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 9 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (- (atan (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (log (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 11 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (exp (- (atan (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (exp (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 12 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (- (atan (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (cbrt (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 13 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cube (- (atan (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (cube (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 14 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (- (atan (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (sqrt (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 15 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (atan (+ N 1)) 3) (pow (atan N) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (- (cube (atan (+ 1 N))) (cube (atan N))) * [exit]simplify: Simplified to (- (cube (atan (+ 1 N))) (cube (atan N))) * [enter]simplify: Simplifying (+ (sqr (atan (+ N 1))) (+ (sqr (atan N)) (* (atan (+ N 1)) (atan N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (+ (sqr (atan (+ 1 N))) (* (+ (atan N) (atan (+ 1 N))) (atan N))) * [exit]simplify: Simplified to (+ (sqr (atan (+ 1 N))) (* (+ (atan N) (atan (+ 1 N))) (atan N))) * * * * [misc]progress: [ 16 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (atan N)) * [exit]simplify: Simplified to (- (atan N)) * * * * [misc]progress: [ 17 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (atan (+ N 1))) (sqr (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (* (- (atan (+ 1 N)) (atan N)) (+ (atan N) (atan (+ 1 N)))) * [exit]simplify: Simplified to (* (- (atan (+ 1 N)) (atan N)) (+ (atan N) (atan (+ 1 N)))) * [enter]simplify: Simplifying (+ (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ (atan (+ 1 N)) (atan N)) * [exit]simplify: Simplified to (+ (atan (+ 1 N)) (atan N)) * * * * [misc]progress: [ 19 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))) * [exit]simplify: Simplified to (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))) * [enter]simplify: Simplifying (- (sqrt (atan (+ N 1))) (sqrt (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) * [exit]simplify: Simplified to (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) * * * * [misc]progress: [ 20 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * * * * [misc]progress: [ 21 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (atan (+ 1 N))) * [exit]simplify: Simplified to (log (atan (+ 1 N))) * * * * [misc]progress: [ 23 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (atan (+ 1 N))) * [exit]simplify: Simplified to (exp (atan (+ 1 N))) * * * * [misc]progress: [ 24 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (atan (+ 1 N))) * [exit]simplify: Simplified to (cbrt (atan (+ 1 N))) * * * * [misc]progress: [ 25 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cube (atan (+ 1 N))) * [exit]simplify: Simplified to (cube (atan (+ 1 N))) * * * * [misc]progress: [ 26 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (atan (+ 1 N))) * [exit]simplify: Simplified to (sqrt (atan (+ 1 N))) * * * * [misc]progress: [ 27 / 27 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (+ N (sqr N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (+ N (sqr N)))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (+ N (sqr N)))) into (atan2 1 (+ 1 (+ (sqr N) N))) * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (+ N (sqr N)))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (+ N (sqr N)))) into (atan2 1 (+ 1 (+ (sqr N) N))) * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (sqr N) N))) into (atan2 1 (+ 1 (+ (sqr N) N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (sqr N) N))) into (atan2 1 (+ 1 (+ (sqr N) N))) * [misc]approximate: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (+ (/ 1 N) (sqr (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (+ (/ 1 N) (sqr (/ 1 N))))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (+ (/ 1 N) (sqr (/ 1 N))))) into (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (+ (/ 1 N) (sqr (/ 1 N))))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (+ (/ 1 N) (sqr (/ 1 N))))) into (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) into (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) into (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * [misc]approximate: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (+ (/ 1 (- N)) (sqr (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (+ (/ 1 (- N)) (sqr (/ 1 (- N)))))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (+ (/ 1 (- N)) (sqr (/ 1 (- N)))))) into (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (+ (/ 1 (- N)) (sqr (/ 1 (- N)))))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (+ (/ 1 (- N)) (sqr (/ 1 (- N)))))) into (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (+ N (sqr N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ N (sqr N)) in N * [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 (sqr N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ N (sqr N)) in N * [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 (sqr N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (sqr N)) (* 1 N)) into (+ (sqr N) N) * [misc]approximate: Taking taylor expansion of (+ (/ 1 N) (sqr (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) (sqr (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) (sqr (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (sqr (/ 1 (/ 1 N))))) into (+ (sqr N) N) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (- N)) (sqr (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) (sqr (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) (sqr (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (sqr (/ 1 (/ 1 (- N)))))) into (+ (sqr N) N) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (+ (sqr N) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (sqr N))) * * * * [misc]progress: [ 2 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ (/ 1 N) 1) (/ 1 (sqr N)))) * * * * [misc]progress: [ 3 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (- 1 (/ 1 N)) (/ (/ 1 N) N))) * * * * [misc]progress: [ 4 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (+ (sqr N) N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 N) (sqr N))) * * * * [misc]progress: [ 5 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (+ (sqr N) N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 N) (sqr N))) * * * * [misc]progress: [ 6 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (+ (sqr N) N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 N) (sqr N))) * * * * [misc]progress: [ 7 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 (+ 1 0) (+ 1 (+ N (sqr N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (log (atan2 1 (+ (sqr N) (+ 1 N)))) * [exit]simplify: Simplified to (log (atan2 1 (+ (sqr N) (+ 1 N)))) * * * * [misc]progress: [ 9 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 (+ 1 0) (+ 1 (+ N (sqr N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (exp (atan2 1 (+ (sqr N) (+ 1 N)))) * [exit]simplify: Simplified to (exp (atan2 1 (+ (sqr N) (+ 1 N)))) * * * * [misc]progress: [ 10 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan2 (+ 1 0) (+ 1 (+ N (sqr N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (sqr N) (+ 1 N)))) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (sqr N) (+ 1 N)))) * * * * [misc]progress: [ 11 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (atan2 (+ 1 0) (+ 1 (+ N (sqr N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (cube (atan2 1 (+ (+ 1 N) (sqr N)))) * [exit]simplify: Simplified to (cube (atan2 1 (+ (+ 1 N) (sqr N)))) * * * * [misc]progress: [ 12 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 (+ 1 0) (+ 1 (+ N (sqr N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (sqr N) (+ 1 N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (sqr N) (+ 1 N)))) * * * * [misc]progress: [ 13 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N (sqr N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (log (+ (* N N) N)) * [exit]simplify: Simplified to (log (+ (* N N) N)) * * * * [misc]progress: [ 16 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ N (sqr N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (pow (exp N) (+ 1 N)) * [exit]simplify: Simplified to (pow (exp N) (+ 1 N)) * * * * [misc]progress: [ 17 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ N (sqr N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N N) N)) * [exit]simplify: Simplified to (cbrt (+ (* N N) N)) * * * * [misc]progress: [ 18 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ N (sqr N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (cube (+ (* N N) N)) * [exit]simplify: Simplified to (cube (+ (* N N) N)) * * * * [misc]progress: [ 19 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ N (sqr N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (sqrt (+ (* N N) N)) * [exit]simplify: Simplified to (sqrt (+ (* N N) N)) * * * * [misc]progress: [ 20 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow N 3) (pow (sqr N) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (+ (* (cube N) (cube N)) (cube N)) * [exit]simplify: Simplified to (+ (* (cube N) (cube N)) (cube N)) * [enter]simplify: Simplifying (+ (sqr N) (- (sqr (sqr N)) (* N (sqr N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (* N N) (- (* N N) (- N 1))) * [exit]simplify: Simplified to (* (* N N) (- (* N N) (- N 1))) * * * * [misc]progress: [ 21 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr N) (sqr (sqr N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (- (* N N) (sqr (* N N))) * [exit]simplify: Simplified to (- (* N N) (sqr (* N N))) * [enter]simplify: Simplifying (- N (sqr N)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (- N (* N N)) * [exit]simplify: Simplified to (- N (* N N)) * * * * [misc]progress: [ 23 / 24 ] 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) * [exit]simplify: Simplified to (+ 1 N) * * * * [misc]progress: [ 24 / 24 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ N (sqr N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ N (sqr N))) in N * [misc]taylor: Rewrote expression to (pow (+ N (sqr N)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N (sqr N))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N (sqr N)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ N (sqr N))) in N * [misc]taylor: Taking taylor expansion of (+ N (sqr N)) in N * [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 (sqr N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ N (sqr N))) in N * [misc]taylor: Rewrote expression to (pow (+ N (sqr N)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N (sqr N))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N (sqr N)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ N (sqr N))) in N * [misc]taylor: Taking taylor expansion of (+ N (sqr N)) in N * [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 (sqr N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]backup-simplify: Simplify (pow N 1/3) into (pow N 1/3) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [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) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (log N))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow N 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow N 1/3)) into (* 1/3 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) 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) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (log N)))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow N 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow N 1/3)) into (* -1/9 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow N 1/3)) (sqr N)) (+ (* (* 1/3 (pow N 1/3)) N) (pow N 1/3))) into (- (+ (* 1/3 (pow (pow N 4) 1/3)) (pow N 1/3)) (* 1/9 (pow (pow N 7) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 N) (sqr (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) (sqr (/ 1 N)))) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) (sqr (/ 1 N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) (sqr (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) (sqr (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) (sqr (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) (sqr (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) (sqr (/ 1 N)))) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) (sqr (/ 1 N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) (sqr (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) (sqr (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) (sqr (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) (sqr (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) * [misc]backup-simplify: Simplify (pow N -2/3) into (pow N -2/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (sqr N)) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 (sqr N)) 1/3)) into (* 1/3 (pow (/ 1 (sqr N)) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (sqr N)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (sqr N)) 1/3)) into (* -1/9 (pow (/ 1 (sqr N)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (sqr N)) 1/3)) (sqr (/ 1 N))) (+ (* (* 1/3 (pow (/ 1 (sqr N)) 1/3)) (/ 1 N)) (pow N -2/3))) into (- (+ (* 1/3 (pow (/ 1 (pow N 5)) 1/3)) (pow N -2/3)) (* 1/9 (pow (/ 1 (pow N 8)) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) (sqr (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) (sqr (/ 1 (- N))))) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) (sqr (/ 1 (- N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) (sqr (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) (sqr (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) (sqr (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) (sqr (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) (sqr (/ 1 (- N))))) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) (sqr (/ 1 (- N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) (sqr (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) (sqr (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) (sqr (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) (sqr (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) * [misc]backup-simplify: Simplify (pow N -2/3) into (pow N -2/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (sqr N)) 1/3)) * [misc]backup-simplify: Simplify (* -1/3 (pow (/ 1 (sqr N)) 1/3)) into (* -1/3 (pow (/ 1 (sqr N)) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (sqr N)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (sqr N)) 1/3)) into (* -1/9 (pow (/ 1 (sqr N)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (sqr N)) 1/3)) (sqr (/ 1 (- N)))) (+ (* (* -1/3 (pow (/ 1 (sqr N)) 1/3)) (/ 1 (- N))) (pow N -2/3))) into (- (+ (* 1/3 (pow (/ 1 (pow N 5)) 1/3)) (pow N -2/3)) (* 1/9 (pow (/ 1 (pow N 8)) 1/3))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (cube (cbrt (+ N (sqr N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ N (sqr N)))) in N * [misc]taylor: Rewrote expression to (pow (cbrt (+ N (sqr N))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (+ N (sqr N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (+ N (sqr 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 (cbrt (+ N (sqr N)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ N (sqr N))) in N * [misc]taylor: Rewrote expression to (pow (+ N (sqr N)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N (sqr N))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N (sqr N)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ N (sqr N))) in N * [misc]taylor: Taking taylor expansion of (+ N (sqr N)) in N * [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 (sqr N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]backup-simplify: Simplify (log (pow N 1/3)) into (log (pow N 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow N 1/3))) into (* 3 (log (pow N 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow N 1/3)))) into (pow (pow N 1/3) 3) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ N (sqr N)))) in N * [misc]taylor: Rewrote expression to (pow (cbrt (+ N (sqr N))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (+ N (sqr N)))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (+ N (sqr 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 (cbrt (+ N (sqr N)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ N (sqr N))) in N * [misc]taylor: Rewrote expression to (pow (+ N (sqr N)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N (sqr N))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N (sqr N)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ N (sqr N))) in N * [misc]taylor: Taking taylor expansion of (+ N (sqr N)) in N * [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 (sqr N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]backup-simplify: Simplify (log (pow N 1/3)) into (log (pow N 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow N 1/3))) into (* 3 (log (pow N 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow N 1/3)))) into (pow (pow N 1/3) 3) * [misc]backup-simplify: Simplify (pow (pow N 1/3) 3) into (pow (pow N 1/3) 3) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [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) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (log N))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow N 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 1)) (pow (pow N 1/3) 1)))) 1) into 1/3 * [misc]backup-simplify: Simplify (+ (* 3 1/3) (* 0 (log (pow N 1/3)))) into 1 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N 1/3)))) (+ (* (/ (pow 1 1) 1)))) into N * [misc]backup-simplify: Simplify N into N * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) 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) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (log N)))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow N 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 2)) (pow (pow N 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/9 (pow N 1/3))) 1)) (pow (pow N 1/3) 1)))) 2) into -1/6 * [misc]backup-simplify: Simplify (+ (* 3 -1/6) (+ (* 0 1/3) (* 0 (log (pow N 1/3))))) into (- 1/2) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N 1/3)))) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- 1/2) 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 (log N))))) into 1/9 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 3) 6)) (* (/ (pow 1/3 1) 1) (/ (pow (- 1/6) 1) 1)) (* (/ (pow 1/9 1) 1)))) into (* 5/81 (pow N 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 3)) (pow (pow N 1/3) 3))) (* -3 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 1) (pow (* 2 (* -1/9 (pow N 1/3))) 1)) (pow (pow N 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 5/81 (pow N 1/3))) 1)) (pow (pow N 1/3) 1)))) 6) into 1/9 * [misc]backup-simplify: Simplify (+ (* 3 1/9) (+ (* 0 -1/6) (+ (* 0 1/3) (* 0 (log (pow N 1/3)))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N 1/3)))) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow (- 1/2) 1) 1)) (* (/ (pow 1/3 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/4) (+ (* 0 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 (log N)))))) into (- 1/12) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 4) 24)) (* (/ (pow 1/3 2) 2) (/ (pow (- 1/6) 1) 1)) (* (/ (pow 1/3 1) 1) (/ (pow 1/9 1) 1)) (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow (- 1/12) 1) 1)))) into (* -10/243 (pow N 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 4)) (pow (pow N 1/3) 4))) (* 12 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 2) (pow (* 2 (* -1/9 (pow N 1/3))) 1)) (pow (pow N 1/3) 3))) (* -3 (/ (* 1 (pow (* 2 (* -1/9 (pow N 1/3))) 2)) (pow (pow N 1/3) 2))) (* -4 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 1) 1 (pow (* 6 (* 5/81 (pow N 1/3))) 1)) (pow (pow N 1/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* -10/243 (pow N 1/3))) 1)) (pow (pow N 1/3) 1)))) 24) into -1/12 * [misc]backup-simplify: Simplify (+ (* 3 -1/12) (+ (* 0 1/9) (+ (* 0 -1/6) (+ (* 0 1/3) (* 0 (log (pow N 1/3))))))) into (- 1/4) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N 1/3)))) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow (- 1/2) 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow (- 1/4) 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 1) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 1) 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 1) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 1/5 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 1/5) (+ (* 0 -1/4) (+ (* 0 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 (log N))))))) into 1/15 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 5) 120)) (* (/ (pow 1/3 3) 6) (/ (pow (- 1/6) 1) 1)) (* (/ (pow 1/3 2) 2) (/ (pow 1/9 1) 1)) (* (/ (pow 1/3 1) 1) (/ (pow (- 1/6) 2) 2)) (* (/ (pow 1/3 1) 1) (/ (pow (- 1/12) 1) 1)) (* (/ (pow (- 1/6) 1) 1) (/ (pow 1/9 1) 1)) (* (/ (pow 1/15 1) 1)))) into (* 22/729 (pow N 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 5)) (pow (pow N 1/3) 5))) (* -60 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 3) (pow (* 2 (* -1/9 (pow N 1/3))) 1)) (pow (pow N 1/3) 4))) (* 30 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 1) (pow (* 2 (* -1/9 (pow N 1/3))) 2)) (pow (pow N 1/3) 3))) (* 20 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 2) 1 (pow (* 6 (* 5/81 (pow N 1/3))) 1)) (pow (pow N 1/3) 3))) (* -10 (/ (* 1 (pow (* 2 (* -1/9 (pow N 1/3))) 1) (pow (* 6 (* 5/81 (pow N 1/3))) 1)) (pow (pow N 1/3) 2))) (* -5 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 1) 1 1 (pow (* 24 (* -10/243 (pow N 1/3))) 1)) (pow (pow N 1/3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 (* 22/729 (pow N 1/3))) 1)) (pow (pow N 1/3) 1)))) 120) into 1/15 * [misc]backup-simplify: Simplify (+ (* 3 1/15) (+ (* 0 -1/12) (+ (* 0 1/9) (+ (* 0 -1/6) (+ (* 0 1/3) (* 0 (log (pow N 1/3)))))))) into 1/5 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N 1/3)))) (+ (* (/ (pow 1 5) 120)) (* (/ (pow 1 3) 6) (/ (pow (- 1/2) 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 1 1) 1) (/ (pow (- 1/2) 2) 2)) (* (/ (pow 1 1) 1) (/ (pow (- 1/4) 1) 1)) (* (/ (pow (- 1/2) 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1/5 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 1) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 1) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 1) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 1) 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 1) 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 -1/6 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/6) (+ (* 0 1/5) (+ (* 0 -1/4) (+ (* 0 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 (log N)))))))) into (- 1/18) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 6) 720)) (* (/ (pow 1/3 4) 24) (/ (pow (- 1/6) 1) 1)) (* (/ (pow 1/3 3) 6) (/ (pow 1/9 1) 1)) (* (/ (pow 1/3 2) 2) (/ (pow (- 1/6) 2) 2)) (* (/ (pow 1/3 2) 2) (/ (pow (- 1/12) 1) 1)) (* (/ (pow 1/3 1) 1) (/ (pow (- 1/6) 1) 1) (/ (pow 1/9 1) 1)) (* (/ (pow 1/3 1) 1) (/ (pow 1/15 1) 1)) (* (/ (pow (- 1/6) 3) 6)) (* (/ (pow (- 1/6) 1) 1) (/ (pow (- 1/12) 1) 1)) (* (/ (pow 1/9 2) 2)) (* (/ (pow (- 1/18) 1) 1)))) into (* -154/6561 (pow N 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 6)) (pow (pow N 1/3) 6))) (* 360 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 4) (pow (* 2 (* -1/9 (pow N 1/3))) 1)) (pow (pow N 1/3) 5))) (* -270 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 2) (pow (* 2 (* -1/9 (pow N 1/3))) 2)) (pow (pow N 1/3) 4))) (* -120 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 3) 1 (pow (* 6 (* 5/81 (pow N 1/3))) 1)) (pow (pow N 1/3) 4))) (* 30 (/ (* 1 (pow (* 2 (* -1/9 (pow N 1/3))) 3)) (pow (pow N 1/3) 3))) (* 120 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 1) (pow (* 2 (* -1/9 (pow N 1/3))) 1) (pow (* 6 (* 5/81 (pow N 1/3))) 1)) (pow (pow N 1/3) 3))) (* 30 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 2) 1 1 (pow (* 24 (* -10/243 (pow N 1/3))) 1)) (pow (pow N 1/3) 3))) (* -10 (/ (* 1 1 (pow (* 6 (* 5/81 (pow N 1/3))) 2)) (pow (pow N 1/3) 2))) (* -15 (/ (* 1 (pow (* 2 (* -1/9 (pow N 1/3))) 1) 1 (pow (* 24 (* -10/243 (pow N 1/3))) 1)) (pow (pow N 1/3) 2))) (* -6 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 1) 1 1 1 (pow (* 120 (* 22/729 (pow N 1/3))) 1)) (pow (pow N 1/3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 (* -154/6561 (pow N 1/3))) 1)) (pow (pow N 1/3) 1)))) 720) into -1/18 * [misc]backup-simplify: Simplify (+ (* 3 -1/18) (+ (* 0 1/15) (+ (* 0 -1/12) (+ (* 0 1/9) (+ (* 0 -1/6) (+ (* 0 1/3) (* 0 (log (pow N 1/3))))))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N 1/3)))) (+ (* (/ (pow 1 6) 720)) (* (/ (pow 1 4) 24) (/ (pow (- 1/2) 1) 1)) (* (/ (pow 1 3) 6) (/ (pow 1/3 1) 1)) (* (/ (pow 1 2) 2) (/ (pow (- 1/2) 2) 2)) (* (/ (pow 1 2) 2) (/ (pow (- 1/4) 1) 1)) (* (/ (pow 1 1) 1) (/ (pow (- 1/2) 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/5 1) 1)) (* (/ (pow (- 1/2) 3) 6)) (* (/ (pow (- 1/2) 1) 1) (/ (pow (- 1/4) 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 1) 7)) (pow 1 7))) (* -2520 (/ (* (pow (* 1 1) 5) (pow (* 2 0) 1)) (pow 1 6))) (* 2520 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 2)) (pow 1 5))) (* 840 (/ (* (pow (* 1 1) 4) 1 (pow (* 6 0) 1)) (pow 1 5))) (* -630 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 3)) (pow 1 4))) (* -1260 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 4))) (* -210 (/ (* (pow (* 1 1) 3) 1 1 (pow (* 24 0) 1)) (pow 1 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow 1 3))) (* 140 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 2)) (pow 1 3))) (* 210 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 3))) (* 42 (/ (* (pow (* 1 1) 2) 1 1 1 (pow (* 120 0) 1)) (pow 1 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow 1 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* -7 (/ (* (pow (* 1 1) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow 1 1)))) 5040) into 1/7 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 1/7) (+ (* 0 -1/6) (+ (* 0 1/5) (+ (* 0 -1/4) (+ (* 0 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 (log N))))))))) into 1/21 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 7) 5040)) (* (/ (pow 1/3 5) 120) (/ (pow (- 1/6) 1) 1)) (* (/ (pow 1/3 4) 24) (/ (pow 1/9 1) 1)) (* (/ (pow 1/3 3) 6) (/ (pow (- 1/6) 2) 2)) (* (/ (pow 1/3 3) 6) (/ (pow (- 1/12) 1) 1)) (* (/ (pow 1/3 2) 2) (/ (pow (- 1/6) 1) 1) (/ (pow 1/9 1) 1)) (* (/ (pow 1/3 2) 2) (/ (pow 1/15 1) 1)) (* (/ (pow 1/3 1) 1) (/ (pow (- 1/6) 3) 6)) (* (/ (pow 1/3 1) 1) (/ (pow (- 1/6) 1) 1) (/ (pow (- 1/12) 1) 1)) (* (/ (pow 1/3 1) 1) (/ (pow 1/9 2) 2)) (* (/ (pow 1/3 1) 1) (/ (pow (- 1/18) 1) 1)) (* (/ (pow (- 1/6) 2) 2) (/ (pow 1/9 1) 1)) (* (/ (pow (- 1/6) 1) 1) (/ (pow 1/15 1) 1)) (* (/ (pow 1/9 1) 1) (/ (pow (- 1/12) 1) 1)) (* (/ (pow 1/21 1) 1)))) into (* 374/19683 (pow N 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 7)) (pow (pow N 1/3) 7))) (* -2520 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 5) (pow (* 2 (* -1/9 (pow N 1/3))) 1)) (pow (pow N 1/3) 6))) (* 2520 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 3) (pow (* 2 (* -1/9 (pow N 1/3))) 2)) (pow (pow N 1/3) 5))) (* 840 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 4) 1 (pow (* 6 (* 5/81 (pow N 1/3))) 1)) (pow (pow N 1/3) 5))) (* -630 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 1) (pow (* 2 (* -1/9 (pow N 1/3))) 3)) (pow (pow N 1/3) 4))) (* -1260 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 2) (pow (* 2 (* -1/9 (pow N 1/3))) 1) (pow (* 6 (* 5/81 (pow N 1/3))) 1)) (pow (pow N 1/3) 4))) (* -210 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 3) 1 1 (pow (* 24 (* -10/243 (pow N 1/3))) 1)) (pow (pow N 1/3) 4))) (* 210 (/ (* 1 (pow (* 2 (* -1/9 (pow N 1/3))) 2) (pow (* 6 (* 5/81 (pow N 1/3))) 1)) (pow (pow N 1/3) 3))) (* 140 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 1) 1 (pow (* 6 (* 5/81 (pow N 1/3))) 2)) (pow (pow N 1/3) 3))) (* 210 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 1) (pow (* 2 (* -1/9 (pow N 1/3))) 1) 1 (pow (* 24 (* -10/243 (pow N 1/3))) 1)) (pow (pow N 1/3) 3))) (* 42 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 2) 1 1 1 (pow (* 120 (* 22/729 (pow N 1/3))) 1)) (pow (pow N 1/3) 3))) (* -35 (/ (* 1 1 (pow (* 6 (* 5/81 (pow N 1/3))) 1) (pow (* 24 (* -10/243 (pow N 1/3))) 1)) (pow (pow N 1/3) 2))) (* -21 (/ (* 1 (pow (* 2 (* -1/9 (pow N 1/3))) 1) 1 1 (pow (* 120 (* 22/729 (pow N 1/3))) 1)) (pow (pow N 1/3) 2))) (* -7 (/ (* (pow (* 1 (* 1/3 (pow N 1/3))) 1) 1 1 1 1 (pow (* 720 (* -154/6561 (pow N 1/3))) 1)) (pow (pow N 1/3) 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 (* 374/19683 (pow N 1/3))) 1)) (pow (pow N 1/3) 1)))) 5040) into 1/21 * [misc]backup-simplify: Simplify (+ (* 3 1/21) (+ (* 0 -1/18) (+ (* 0 1/15) (+ (* 0 -1/12) (+ (* 0 1/9) (+ (* 0 -1/6) (+ (* 0 1/3) (* 0 (log (pow N 1/3)))))))))) into 1/7 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N 1/3)))) (+ (* (/ (pow 1 7) 5040)) (* (/ (pow 1 5) 120) (/ (pow (- 1/2) 1) 1)) (* (/ (pow 1 4) 24) (/ (pow 1/3 1) 1)) (* (/ (pow 1 3) 6) (/ (pow (- 1/2) 2) 2)) (* (/ (pow 1 3) 6) (/ (pow (- 1/4) 1) 1)) (* (/ (pow 1 2) 2) (/ (pow (- 1/2) 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 1/5 1) 1)) (* (/ (pow 1 1) 1) (/ (pow (- 1/2) 3) 6)) (* (/ (pow 1 1) 1) (/ (pow (- 1/2) 1) 1) (/ (pow (- 1/4) 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/3 2) 2)) (* (/ (pow 1 1) 1) (/ (pow (- 1/6) 1) 1)) (* (/ (pow (- 1/2) 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow (- 1/2) 1) 1) (/ (pow 1/5 1) 1)) (* (/ (pow 1/3 1) 1) (/ (pow (- 1/4) 1) 1)) (* (/ (pow 1/7 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* N N) (pow (pow N 1/3) 3)) into (+ (sqr N) N) * [misc]approximate: Taking taylor expansion of (cube (cbrt (+ (/ 1 N) (sqr (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (/ 1 N) (sqr (/ 1 N))))) in N * [misc]taylor: Rewrote expression to (pow (cbrt (+ (/ 1 N) (sqr (/ 1 N)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (+ (/ 1 N) (sqr (/ 1 N))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (+ (/ 1 N) (sqr (/ 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 (cbrt (+ (/ 1 N) (sqr (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) (sqr (/ 1 N)))) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) (sqr (/ 1 N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) (sqr (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) (sqr (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) (sqr (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) (sqr (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) * [misc]backup-simplify: Simplify (log (pow N -2/3)) into (log (pow N -2/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow N -2/3))) into (* 3 (log (pow N -2/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow N -2/3)))) into (pow (pow N -2/3) 3) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (/ 1 N) (sqr (/ 1 N))))) in N * [misc]taylor: Rewrote expression to (pow (cbrt (+ (/ 1 N) (sqr (/ 1 N)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (+ (/ 1 N) (sqr (/ 1 N))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (+ (/ 1 N) (sqr (/ 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 (cbrt (+ (/ 1 N) (sqr (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) (sqr (/ 1 N)))) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) (sqr (/ 1 N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) (sqr (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) (sqr (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) (sqr (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) (sqr (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) * [misc]backup-simplify: Simplify (log (pow N -2/3)) into (log (pow N -2/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow N -2/3))) into (* 3 (log (pow N -2/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow N -2/3)))) into (pow (pow N -2/3) 3) * [misc]backup-simplify: Simplify (pow (pow N -2/3) 3) into (pow (pow N -2/3) 3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (sqr N)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 1)))) 1) into 1/3 * [misc]backup-simplify: Simplify (+ (* 3 1/3) (* 0 (log (pow N -2/3)))) into 1 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N -2/3)))) (+ (* (/ (pow 1 1) 1)))) into (/ 1 (sqr N)) * [misc]backup-simplify: Simplify (/ 1 (sqr N)) into (/ 1 (sqr N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (sqr N)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 2)) (pow (pow N -2/3) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 1)))) 2) into -1/6 * [misc]backup-simplify: Simplify (+ (* 3 -1/6) (+ (* 0 1/3) (* 0 (log (pow N -2/3))))) into (- 1/2) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N -2/3)))) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- 1/2) 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 (- (* 2 (log N))))))) into 1/9 * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 3) 6)) (* (/ (pow 1/3 1) 1) (/ (pow (- 1/6) 1) 1)) (* (/ (pow 1/9 1) 1)))) into (* 5/81 (pow (/ 1 (sqr N)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 3)) (pow (pow N -2/3) 3))) (* -3 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 1) (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 5/81 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 1)))) 6) into 1/9 * [misc]backup-simplify: Simplify (+ (* 3 1/9) (+ (* 0 -1/6) (+ (* 0 1/3) (* 0 (log (pow N -2/3)))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N -2/3)))) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow (- 1/2) 1) 1)) (* (/ (pow 1/3 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/4) (+ (* 0 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))))) into (- 1/12) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 4) 24)) (* (/ (pow 1/3 2) 2) (/ (pow (- 1/6) 1) 1)) (* (/ (pow 1/3 1) 1) (/ (pow 1/9 1) 1)) (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow (- 1/12) 1) 1)))) into (* -10/243 (pow (/ 1 (sqr N)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 4)) (pow (pow N -2/3) 4))) (* 12 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 2) (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 3))) (* -3 (/ (* 1 (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 2)) (pow (pow N -2/3) 2))) (* -4 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 1) 1 (pow (* 6 (* 5/81 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* -10/243 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 1)))) 24) into -1/12 * [misc]backup-simplify: Simplify (+ (* 3 -1/12) (+ (* 0 1/9) (+ (* 0 -1/6) (+ (* 0 1/3) (* 0 (log (pow N -2/3))))))) into (- 1/4) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N -2/3)))) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow (- 1/2) 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow (- 1/4) 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 1) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 1) 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 1) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 1/5 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 1/5) (+ (* 0 -1/4) (+ (* 0 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 (- (* 2 (log N))))))))) into 1/15 * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 5) 120)) (* (/ (pow 1/3 3) 6) (/ (pow (- 1/6) 1) 1)) (* (/ (pow 1/3 2) 2) (/ (pow 1/9 1) 1)) (* (/ (pow 1/3 1) 1) (/ (pow (- 1/6) 2) 2)) (* (/ (pow 1/3 1) 1) (/ (pow (- 1/12) 1) 1)) (* (/ (pow (- 1/6) 1) 1) (/ (pow 1/9 1) 1)) (* (/ (pow 1/15 1) 1)))) into (* 22/729 (pow (/ 1 (sqr N)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 5)) (pow (pow N -2/3) 5))) (* -60 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 3) (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 4))) (* 30 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 1) (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 2)) (pow (pow N -2/3) 3))) (* 20 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 2) 1 (pow (* 6 (* 5/81 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 3))) (* -10 (/ (* 1 (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 1) (pow (* 6 (* 5/81 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 2))) (* -5 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 1) 1 1 (pow (* 24 (* -10/243 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 (* 22/729 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 1)))) 120) into 1/15 * [misc]backup-simplify: Simplify (+ (* 3 1/15) (+ (* 0 -1/12) (+ (* 0 1/9) (+ (* 0 -1/6) (+ (* 0 1/3) (* 0 (log (pow N -2/3)))))))) into 1/5 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N -2/3)))) (+ (* (/ (pow 1 5) 120)) (* (/ (pow 1 3) 6) (/ (pow (- 1/2) 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow 1 1) 1) (/ (pow (- 1/2) 2) 2)) (* (/ (pow 1 1) 1) (/ (pow (- 1/4) 1) 1)) (* (/ (pow (- 1/2) 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1/5 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 1) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 1) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 1) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 1) 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 1) 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 -1/6 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/6) (+ (* 0 1/5) (+ (* 0 -1/4) (+ (* 0 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))))))) into (- 1/18) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 6) 720)) (* (/ (pow 1/3 4) 24) (/ (pow (- 1/6) 1) 1)) (* (/ (pow 1/3 3) 6) (/ (pow 1/9 1) 1)) (* (/ (pow 1/3 2) 2) (/ (pow (- 1/6) 2) 2)) (* (/ (pow 1/3 2) 2) (/ (pow (- 1/12) 1) 1)) (* (/ (pow 1/3 1) 1) (/ (pow (- 1/6) 1) 1) (/ (pow 1/9 1) 1)) (* (/ (pow 1/3 1) 1) (/ (pow 1/15 1) 1)) (* (/ (pow (- 1/6) 3) 6)) (* (/ (pow (- 1/6) 1) 1) (/ (pow (- 1/12) 1) 1)) (* (/ (pow 1/9 2) 2)) (* (/ (pow (- 1/18) 1) 1)))) into (* -154/6561 (pow (/ 1 (sqr N)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 6)) (pow (pow N -2/3) 6))) (* 360 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 4) (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 5))) (* -270 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 2) (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 2)) (pow (pow N -2/3) 4))) (* -120 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 3) 1 (pow (* 6 (* 5/81 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 4))) (* 30 (/ (* 1 (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 3)) (pow (pow N -2/3) 3))) (* 120 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 1) (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 1) (pow (* 6 (* 5/81 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 3))) (* 30 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 2) 1 1 (pow (* 24 (* -10/243 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 3))) (* -10 (/ (* 1 1 (pow (* 6 (* 5/81 (pow (/ 1 (sqr N)) 1/3))) 2)) (pow (pow N -2/3) 2))) (* -15 (/ (* 1 (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 1) 1 (pow (* 24 (* -10/243 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 2))) (* -6 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 1) 1 1 1 (pow (* 120 (* 22/729 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 (* -154/6561 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 1)))) 720) into -1/18 * [misc]backup-simplify: Simplify (+ (* 3 -1/18) (+ (* 0 1/15) (+ (* 0 -1/12) (+ (* 0 1/9) (+ (* 0 -1/6) (+ (* 0 1/3) (* 0 (log (pow N -2/3))))))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N -2/3)))) (+ (* (/ (pow 1 6) 720)) (* (/ (pow 1 4) 24) (/ (pow (- 1/2) 1) 1)) (* (/ (pow 1 3) 6) (/ (pow 1/3 1) 1)) (* (/ (pow 1 2) 2) (/ (pow (- 1/2) 2) 2)) (* (/ (pow 1 2) 2) (/ (pow (- 1/4) 1) 1)) (* (/ (pow 1 1) 1) (/ (pow (- 1/2) 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/5 1) 1)) (* (/ (pow (- 1/2) 3) 6)) (* (/ (pow (- 1/2) 1) 1) (/ (pow (- 1/4) 1) 1)) (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 1) 7)) (pow 1 7))) (* -2520 (/ (* (pow (* 1 1) 5) (pow (* 2 0) 1)) (pow 1 6))) (* 2520 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 2)) (pow 1 5))) (* 840 (/ (* (pow (* 1 1) 4) 1 (pow (* 6 0) 1)) (pow 1 5))) (* -630 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 3)) (pow 1 4))) (* -1260 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 4))) (* -210 (/ (* (pow (* 1 1) 3) 1 1 (pow (* 24 0) 1)) (pow 1 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow 1 3))) (* 140 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 2)) (pow 1 3))) (* 210 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 3))) (* 42 (/ (* (pow (* 1 1) 2) 1 1 1 (pow (* 120 0) 1)) (pow 1 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow 1 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* -7 (/ (* (pow (* 1 1) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow 1 1)))) 5040) into 1/7 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 1/7) (+ (* 0 -1/6) (+ (* 0 1/5) (+ (* 0 -1/4) (+ (* 0 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 (- (* 2 (log N))))))))))) into 1/21 * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 7) 5040)) (* (/ (pow 1/3 5) 120) (/ (pow (- 1/6) 1) 1)) (* (/ (pow 1/3 4) 24) (/ (pow 1/9 1) 1)) (* (/ (pow 1/3 3) 6) (/ (pow (- 1/6) 2) 2)) (* (/ (pow 1/3 3) 6) (/ (pow (- 1/12) 1) 1)) (* (/ (pow 1/3 2) 2) (/ (pow (- 1/6) 1) 1) (/ (pow 1/9 1) 1)) (* (/ (pow 1/3 2) 2) (/ (pow 1/15 1) 1)) (* (/ (pow 1/3 1) 1) (/ (pow (- 1/6) 3) 6)) (* (/ (pow 1/3 1) 1) (/ (pow (- 1/6) 1) 1) (/ (pow (- 1/12) 1) 1)) (* (/ (pow 1/3 1) 1) (/ (pow 1/9 2) 2)) (* (/ (pow 1/3 1) 1) (/ (pow (- 1/18) 1) 1)) (* (/ (pow (- 1/6) 2) 2) (/ (pow 1/9 1) 1)) (* (/ (pow (- 1/6) 1) 1) (/ (pow 1/15 1) 1)) (* (/ (pow 1/9 1) 1) (/ (pow (- 1/12) 1) 1)) (* (/ (pow 1/21 1) 1)))) into (* 374/19683 (pow (/ 1 (sqr N)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 7)) (pow (pow N -2/3) 7))) (* -2520 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 5) (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 6))) (* 2520 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 3) (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 2)) (pow (pow N -2/3) 5))) (* 840 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 4) 1 (pow (* 6 (* 5/81 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 5))) (* -630 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 1) (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 3)) (pow (pow N -2/3) 4))) (* -1260 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 2) (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 1) (pow (* 6 (* 5/81 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 4))) (* -210 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 3) 1 1 (pow (* 24 (* -10/243 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 4))) (* 210 (/ (* 1 (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 2) (pow (* 6 (* 5/81 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 3))) (* 140 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 1) 1 (pow (* 6 (* 5/81 (pow (/ 1 (sqr N)) 1/3))) 2)) (pow (pow N -2/3) 3))) (* 210 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 1) (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 1) 1 (pow (* 24 (* -10/243 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 3))) (* 42 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 2) 1 1 1 (pow (* 120 (* 22/729 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 3))) (* -35 (/ (* 1 1 (pow (* 6 (* 5/81 (pow (/ 1 (sqr N)) 1/3))) 1) (pow (* 24 (* -10/243 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 2))) (* -21 (/ (* 1 (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 1) 1 1 (pow (* 120 (* 22/729 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 2))) (* -7 (/ (* (pow (* 1 (* 1/3 (pow (/ 1 (sqr N)) 1/3))) 1) 1 1 1 1 (pow (* 720 (* -154/6561 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 (* 374/19683 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 1)))) 5040) into 1/21 * [misc]backup-simplify: Simplify (+ (* 3 1/21) (+ (* 0 -1/18) (+ (* 0 1/15) (+ (* 0 -1/12) (+ (* 0 1/9) (+ (* 0 -1/6) (+ (* 0 1/3) (* 0 (log (pow N -2/3)))))))))) into 1/7 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N -2/3)))) (+ (* (/ (pow 1 7) 5040)) (* (/ (pow 1 5) 120) (/ (pow (- 1/2) 1) 1)) (* (/ (pow 1 4) 24) (/ (pow 1/3 1) 1)) (* (/ (pow 1 3) 6) (/ (pow (- 1/2) 2) 2)) (* (/ (pow 1 3) 6) (/ (pow (- 1/4) 1) 1)) (* (/ (pow 1 2) 2) (/ (pow (- 1/2) 1) 1) (/ (pow 1/3 1) 1)) (* (/ (pow 1 2) 2) (/ (pow 1/5 1) 1)) (* (/ (pow 1 1) 1) (/ (pow (- 1/2) 3) 6)) (* (/ (pow 1 1) 1) (/ (pow (- 1/2) 1) 1) (/ (pow (- 1/4) 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 1/3 2) 2)) (* (/ (pow 1 1) 1) (/ (pow (- 1/6) 1) 1)) (* (/ (pow (- 1/2) 2) 2) (/ (pow 1/3 1) 1)) (* (/ (pow (- 1/2) 1) 1) (/ (pow 1/5 1) 1)) (* (/ (pow 1/3 1) 1) (/ (pow (- 1/4) 1) 1)) (* (/ (pow 1/7 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr N)) (/ 1 N)) (pow (pow N -2/3) 3)) into (+ (/ 1 (sqr N)) (/ 1 (pow N 3))) * [misc]approximate: Taking taylor expansion of (cube (cbrt (+ (/ 1 (- N)) (sqr (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (/ 1 (- N)) (sqr (/ 1 (- N)))))) in N * [misc]taylor: Rewrote expression to (pow (cbrt (+ (/ 1 (- N)) (sqr (/ 1 (- N))))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (+ (/ 1 (- N)) (sqr (/ 1 (- N)))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (+ (/ 1 (- N)) (sqr (/ 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 (cbrt (+ (/ 1 (- N)) (sqr (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) (sqr (/ 1 (- N))))) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) (sqr (/ 1 (- N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) (sqr (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) (sqr (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) (sqr (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) (sqr (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) * [misc]backup-simplify: Simplify (log (pow N -2/3)) into (log (pow N -2/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow N -2/3))) into (* 3 (log (pow N -2/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow N -2/3)))) into (pow (pow N -2/3) 3) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (/ 1 (- N)) (sqr (/ 1 (- N)))))) in N * [misc]taylor: Rewrote expression to (pow (cbrt (+ (/ 1 (- N)) (sqr (/ 1 (- N))))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (+ (/ 1 (- N)) (sqr (/ 1 (- N)))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (+ (/ 1 (- N)) (sqr (/ 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 (cbrt (+ (/ 1 (- N)) (sqr (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) (sqr (/ 1 (- N))))) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) (sqr (/ 1 (- N)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) (sqr (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) (sqr (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) (sqr (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) (sqr (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) * [misc]backup-simplify: Simplify (log (pow N -2/3)) into (log (pow N -2/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow N -2/3))) into (* 3 (log (pow N -2/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow N -2/3)))) into (pow (pow N -2/3) 3) * [misc]backup-simplify: Simplify (pow (pow N -2/3) 3) into (pow (pow N -2/3) 3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (sqr N)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 1)))) 1) into -1/3 * [misc]backup-simplify: Simplify (+ (* 3 -1/3) (* 0 (log (pow N -2/3)))) into (- 1) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N -2/3)))) (+ (* (/ (pow (- 1) 1) 1)))) into (/ -1 (sqr N)) * [misc]backup-simplify: Simplify (/ -1 (sqr N)) into (/ -1 (sqr 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (sqr N)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 2)) (pow (pow N -2/3) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 1)))) 2) into -1/6 * [misc]backup-simplify: Simplify (+ (* 3 -1/6) (+ (* 0 -1/3) (* 0 (log (pow N -2/3))))) into (- 1/2) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N -2/3)))) (+ (* (/ (pow (- 1) 2) 2)) (* (/ (pow (- 1/2) 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/3) (+ (* 0 -1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N))))))) into (- 1/9) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 3) 6)) (* (/ (pow (- 1/3) 1) 1) (/ (pow (- 1/6) 1) 1)) (* (/ (pow (- 1/9) 1) 1)))) into (* -5/81 (pow (/ 1 (sqr N)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 3)) (pow (pow N -2/3) 3))) (* -3 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 1) (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* -5/81 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 1)))) 6) into -1/9 * [misc]backup-simplify: Simplify (+ (* 3 -1/9) (+ (* 0 -1/6) (+ (* 0 -1/3) (* 0 (log (pow N -2/3)))))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N -2/3)))) (+ (* (/ (pow (- 1) 3) 6)) (* (/ (pow (- 1) 1) 1) (/ (pow (- 1/2) 1) 1)) (* (/ (pow (- 1/3) 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 -1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 -1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 -1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/4) (+ (* 0 -1/3) (+ (* 0 -1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))))) into (- 1/12) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 4) 24)) (* (/ (pow (- 1/3) 2) 2) (/ (pow (- 1/6) 1) 1)) (* (/ (pow (- 1/3) 1) 1) (/ (pow (- 1/9) 1) 1)) (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow (- 1/12) 1) 1)))) into (* -10/243 (pow (/ 1 (sqr N)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 4)) (pow (pow N -2/3) 4))) (* 12 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 2) (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 3))) (* -3 (/ (* 1 (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 2)) (pow (pow N -2/3) 2))) (* -4 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 1) 1 (pow (* 6 (* -5/81 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* -10/243 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 1)))) 24) into -1/12 * [misc]backup-simplify: Simplify (+ (* 3 -1/12) (+ (* 0 -1/9) (+ (* 0 -1/6) (+ (* 0 -1/3) (* 0 (log (pow N -2/3))))))) into (- 1/4) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N -2/3)))) (+ (* (/ (pow (- 1) 4) 24)) (* (/ (pow (- 1) 2) 2) (/ (pow (- 1/2) 1) 1)) (* (/ (pow (- 1) 1) 1) (/ (pow (- 1/3) 1) 1)) (* (/ (pow (- 1/2) 2) 2)) (* (/ (pow (- 1/4) 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 -1) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 -1) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 -1) 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 -1) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into -1/5 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/5) (+ (* 0 -1/4) (+ (* 0 -1/3) (+ (* 0 -1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N))))))))) into (- 1/15) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 5) 120)) (* (/ (pow (- 1/3) 3) 6) (/ (pow (- 1/6) 1) 1)) (* (/ (pow (- 1/3) 2) 2) (/ (pow (- 1/9) 1) 1)) (* (/ (pow (- 1/3) 1) 1) (/ (pow (- 1/6) 2) 2)) (* (/ (pow (- 1/3) 1) 1) (/ (pow (- 1/12) 1) 1)) (* (/ (pow (- 1/6) 1) 1) (/ (pow (- 1/9) 1) 1)) (* (/ (pow (- 1/15) 1) 1)))) into (* -22/729 (pow (/ 1 (sqr N)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 5)) (pow (pow N -2/3) 5))) (* -60 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 3) (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 4))) (* 30 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 1) (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 2)) (pow (pow N -2/3) 3))) (* 20 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 2) 1 (pow (* 6 (* -5/81 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 3))) (* -10 (/ (* 1 (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 1) (pow (* 6 (* -5/81 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 2))) (* -5 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 1) 1 1 (pow (* 24 (* -10/243 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 (* -22/729 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 1)))) 120) into -1/15 * [misc]backup-simplify: Simplify (+ (* 3 -1/15) (+ (* 0 -1/12) (+ (* 0 -1/9) (+ (* 0 -1/6) (+ (* 0 -1/3) (* 0 (log (pow N -2/3)))))))) into (- 1/5) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N -2/3)))) (+ (* (/ (pow (- 1) 5) 120)) (* (/ (pow (- 1) 3) 6) (/ (pow (- 1/2) 1) 1)) (* (/ (pow (- 1) 2) 2) (/ (pow (- 1/3) 1) 1)) (* (/ (pow (- 1) 1) 1) (/ (pow (- 1/2) 2) 2)) (* (/ (pow (- 1) 1) 1) (/ (pow (- 1/4) 1) 1)) (* (/ (pow (- 1/2) 1) 1) (/ (pow (- 1/3) 1) 1)) (* (/ (pow (- 1/5) 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 -1) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 -1) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 -1) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 -1) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 -1) 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 -1) 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 -1/6 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/6) (+ (* 0 -1/5) (+ (* 0 -1/4) (+ (* 0 -1/3) (+ (* 0 -1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))))))) into (- 1/18) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 6) 720)) (* (/ (pow (- 1/3) 4) 24) (/ (pow (- 1/6) 1) 1)) (* (/ (pow (- 1/3) 3) 6) (/ (pow (- 1/9) 1) 1)) (* (/ (pow (- 1/3) 2) 2) (/ (pow (- 1/6) 2) 2)) (* (/ (pow (- 1/3) 2) 2) (/ (pow (- 1/12) 1) 1)) (* (/ (pow (- 1/3) 1) 1) (/ (pow (- 1/6) 1) 1) (/ (pow (- 1/9) 1) 1)) (* (/ (pow (- 1/3) 1) 1) (/ (pow (- 1/15) 1) 1)) (* (/ (pow (- 1/6) 3) 6)) (* (/ (pow (- 1/6) 1) 1) (/ (pow (- 1/12) 1) 1)) (* (/ (pow (- 1/9) 2) 2)) (* (/ (pow (- 1/18) 1) 1)))) into (* -154/6561 (pow (/ 1 (sqr N)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 6)) (pow (pow N -2/3) 6))) (* 360 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 4) (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 5))) (* -270 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 2) (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 2)) (pow (pow N -2/3) 4))) (* -120 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 3) 1 (pow (* 6 (* -5/81 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 4))) (* 30 (/ (* 1 (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 3)) (pow (pow N -2/3) 3))) (* 120 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 1) (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 1) (pow (* 6 (* -5/81 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 3))) (* 30 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 2) 1 1 (pow (* 24 (* -10/243 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 3))) (* -10 (/ (* 1 1 (pow (* 6 (* -5/81 (pow (/ 1 (sqr N)) 1/3))) 2)) (pow (pow N -2/3) 2))) (* -15 (/ (* 1 (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 1) 1 (pow (* 24 (* -10/243 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 2))) (* -6 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 1) 1 1 1 (pow (* 120 (* -22/729 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 (* -154/6561 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 1)))) 720) into -1/18 * [misc]backup-simplify: Simplify (+ (* 3 -1/18) (+ (* 0 -1/15) (+ (* 0 -1/12) (+ (* 0 -1/9) (+ (* 0 -1/6) (+ (* 0 -1/3) (* 0 (log (pow N -2/3))))))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N -2/3)))) (+ (* (/ (pow (- 1) 6) 720)) (* (/ (pow (- 1) 4) 24) (/ (pow (- 1/2) 1) 1)) (* (/ (pow (- 1) 3) 6) (/ (pow (- 1/3) 1) 1)) (* (/ (pow (- 1) 2) 2) (/ (pow (- 1/2) 2) 2)) (* (/ (pow (- 1) 2) 2) (/ (pow (- 1/4) 1) 1)) (* (/ (pow (- 1) 1) 1) (/ (pow (- 1/2) 1) 1) (/ (pow (- 1/3) 1) 1)) (* (/ (pow (- 1) 1) 1) (/ (pow (- 1/5) 1) 1)) (* (/ (pow (- 1/2) 3) 6)) (* (/ (pow (- 1/2) 1) 1) (/ (pow (- 1/4) 1) 1)) (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 -1) 7)) (pow 1 7))) (* -2520 (/ (* (pow (* 1 -1) 5) (pow (* 2 0) 1)) (pow 1 6))) (* 2520 (/ (* (pow (* 1 -1) 3) (pow (* 2 0) 2)) (pow 1 5))) (* 840 (/ (* (pow (* 1 -1) 4) 1 (pow (* 6 0) 1)) (pow 1 5))) (* -630 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 3)) (pow 1 4))) (* -1260 (/ (* (pow (* 1 -1) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 4))) (* -210 (/ (* (pow (* 1 -1) 3) 1 1 (pow (* 24 0) 1)) (pow 1 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow 1 3))) (* 140 (/ (* (pow (* 1 -1) 1) 1 (pow (* 6 0) 2)) (pow 1 3))) (* 210 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 3))) (* 42 (/ (* (pow (* 1 -1) 2) 1 1 1 (pow (* 120 0) 1)) (pow 1 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow 1 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* -7 (/ (* (pow (* 1 -1) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow 1 1)))) 5040) into -1/7 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/7) (+ (* 0 -1/6) (+ (* 0 -1/5) (+ (* 0 -1/4) (+ (* 0 -1/3) (+ (* 0 -1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N))))))))))) into (- 1/21) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 7) 5040)) (* (/ (pow (- 1/3) 5) 120) (/ (pow (- 1/6) 1) 1)) (* (/ (pow (- 1/3) 4) 24) (/ (pow (- 1/9) 1) 1)) (* (/ (pow (- 1/3) 3) 6) (/ (pow (- 1/6) 2) 2)) (* (/ (pow (- 1/3) 3) 6) (/ (pow (- 1/12) 1) 1)) (* (/ (pow (- 1/3) 2) 2) (/ (pow (- 1/6) 1) 1) (/ (pow (- 1/9) 1) 1)) (* (/ (pow (- 1/3) 2) 2) (/ (pow (- 1/15) 1) 1)) (* (/ (pow (- 1/3) 1) 1) (/ (pow (- 1/6) 3) 6)) (* (/ (pow (- 1/3) 1) 1) (/ (pow (- 1/6) 1) 1) (/ (pow (- 1/12) 1) 1)) (* (/ (pow (- 1/3) 1) 1) (/ (pow (- 1/9) 2) 2)) (* (/ (pow (- 1/3) 1) 1) (/ (pow (- 1/18) 1) 1)) (* (/ (pow (- 1/6) 2) 2) (/ (pow (- 1/9) 1) 1)) (* (/ (pow (- 1/6) 1) 1) (/ (pow (- 1/15) 1) 1)) (* (/ (pow (- 1/9) 1) 1) (/ (pow (- 1/12) 1) 1)) (* (/ (pow (- 1/21) 1) 1)))) into (* -374/19683 (pow (/ 1 (sqr N)) 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 7)) (pow (pow N -2/3) 7))) (* -2520 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 5) (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 6))) (* 2520 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 3) (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 2)) (pow (pow N -2/3) 5))) (* 840 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 4) 1 (pow (* 6 (* -5/81 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 5))) (* -630 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 1) (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 3)) (pow (pow N -2/3) 4))) (* -1260 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 2) (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 1) (pow (* 6 (* -5/81 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 4))) (* -210 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 3) 1 1 (pow (* 24 (* -10/243 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 4))) (* 210 (/ (* 1 (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 2) (pow (* 6 (* -5/81 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 3))) (* 140 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 1) 1 (pow (* 6 (* -5/81 (pow (/ 1 (sqr N)) 1/3))) 2)) (pow (pow N -2/3) 3))) (* 210 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 1) (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 1) 1 (pow (* 24 (* -10/243 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 3))) (* 42 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 2) 1 1 1 (pow (* 120 (* -22/729 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 3))) (* -35 (/ (* 1 1 (pow (* 6 (* -5/81 (pow (/ 1 (sqr N)) 1/3))) 1) (pow (* 24 (* -10/243 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 2))) (* -21 (/ (* 1 (pow (* 2 (* -1/9 (pow (/ 1 (sqr N)) 1/3))) 1) 1 1 (pow (* 120 (* -22/729 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 2))) (* -7 (/ (* (pow (* 1 (* -1/3 (pow (/ 1 (sqr N)) 1/3))) 1) 1 1 1 1 (pow (* 720 (* -154/6561 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 (* -374/19683 (pow (/ 1 (sqr N)) 1/3))) 1)) (pow (pow N -2/3) 1)))) 5040) into -1/21 * [misc]backup-simplify: Simplify (+ (* 3 -1/21) (+ (* 0 -1/18) (+ (* 0 -1/15) (+ (* 0 -1/12) (+ (* 0 -1/9) (+ (* 0 -1/6) (+ (* 0 -1/3) (* 0 (log (pow N -2/3)))))))))) into (- 1/7) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N -2/3)))) (+ (* (/ (pow (- 1) 7) 5040)) (* (/ (pow (- 1) 5) 120) (/ (pow (- 1/2) 1) 1)) (* (/ (pow (- 1) 4) 24) (/ (pow (- 1/3) 1) 1)) (* (/ (pow (- 1) 3) 6) (/ (pow (- 1/2) 2) 2)) (* (/ (pow (- 1) 3) 6) (/ (pow (- 1/4) 1) 1)) (* (/ (pow (- 1) 2) 2) (/ (pow (- 1/2) 1) 1) (/ (pow (- 1/3) 1) 1)) (* (/ (pow (- 1) 2) 2) (/ (pow (- 1/5) 1) 1)) (* (/ (pow (- 1) 1) 1) (/ (pow (- 1/2) 3) 6)) (* (/ (pow (- 1) 1) 1) (/ (pow (- 1/2) 1) 1) (/ (pow (- 1/4) 1) 1)) (* (/ (pow (- 1) 1) 1) (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1) 1) 1) (/ (pow (- 1/6) 1) 1)) (* (/ (pow (- 1/2) 2) 2) (/ (pow (- 1/3) 1) 1)) (* (/ (pow (- 1/2) 1) 1) (/ (pow (- 1/5) 1) 1)) (* (/ (pow (- 1/3) 1) 1) (/ (pow (- 1/4) 1) 1)) (* (/ (pow (- 1/7) 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (sqr N)) (/ 1 (- N))) (pow (pow N -2/3) 3)) into (+ (/ 1 (sqr N)) (/ 1 (pow N 3))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (cube (cbrt (+ N (sqr N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (cube (cbrt (+ N (sqr N)))))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (cube (cbrt (+ N (sqr N)))))) into (atan2 1 (+ 1 (+ (sqr N) N))) * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (cube (cbrt (+ N (sqr N)))))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (cube (cbrt (+ N (sqr N)))))) into (atan2 1 (+ 1 (+ (sqr N) N))) * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (sqr N) N))) into (atan2 1 (+ 1 (+ (sqr N) N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (sqr N) N))) into (atan2 1 (+ 1 (+ (sqr N) N))) * [misc]approximate: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (cube (cbrt (+ (/ 1 N) (sqr (/ 1 N))))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (cube (cbrt (+ (/ 1 N) (sqr (/ 1 N))))))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (cube (cbrt (+ (/ 1 N) (sqr (/ 1 N))))))) into (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (cube (cbrt (+ (/ 1 N) (sqr (/ 1 N))))))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (cube (cbrt (+ (/ 1 N) (sqr (/ 1 N))))))) into (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) into (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) into (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * [misc]approximate: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (cube (cbrt (+ (/ 1 (- N)) (sqr (/ 1 (- N)))))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (cube (cbrt (+ (/ 1 (- N)) (sqr (/ 1 (- N)))))))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (cube (cbrt (+ (/ 1 (- N)) (sqr (/ 1 (- N)))))))) into (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (cube (cbrt (+ (/ 1 (- N)) (sqr (/ 1 (- N)))))))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (cube (cbrt (+ (/ 1 (- N)) (sqr (/ 1 (- N)))))))) into (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1 1) * [misc]approximate: Taking taylor expansion of (+ N (sqr N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ N (sqr N)) in N * [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 (sqr N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ N (sqr N)) in N * [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 (sqr N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (sqr N)) (* 1 N)) into (+ (sqr N) N) * [misc]approximate: Taking taylor expansion of (+ (/ 1 N) (sqr (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) (sqr (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) (sqr (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (sqr (/ 1 (/ 1 N))))) into (+ (sqr N) N) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (- N)) (sqr (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) (sqr (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) (sqr (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (sqr (/ 1 (/ 1 (- N)))))) into (+ (sqr N) N) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (cube (- (+ (* 1/3 (pow (pow N 4) 1/3)) (pow N 1/3)) (* 1/9 (pow (pow N 7) 1/3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (cube (- (+ (cbrt N) (* 1/3 (cbrt (pow N 4)))) (* (cbrt (pow N 7)) 1/9))) 1)) * * * * [misc]progress: [ 2 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (cube (- (+ (* 1/3 (pow (/ 1 (pow N 5)) 1/3)) (pow N -2/3)) (* 1/9 (pow (/ 1 (pow N 8)) 1/3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (cube (- (+ (pow N -2/3) (* (cbrt (/ 1 (pow N 5))) 1/3)) (* (cbrt (/ 1 (pow N 8))) 1/9))) 1)) * * * * [misc]progress: [ 3 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (cube (- (+ (* 1/3 (pow (/ 1 (pow N 5)) 1/3)) (pow N -2/3)) (* 1/9 (pow (/ 1 (pow N 8)) 1/3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (cube (- (+ (pow N -2/3) (* (cbrt (/ 1 (pow N 5))) 1/3)) (* (cbrt (/ 1 (pow N 8))) 1/9))) 1)) * * * * [misc]progress: [ 4 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (+ (sqr N) N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 N) (sqr N))) * * * * [misc]progress: [ 5 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (+ (/ 1 (sqr N)) (/ 1 (pow N 3))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ (/ (/ 1 N) N) (/ 1 (cube N))) 1)) * * * * [misc]progress: [ 6 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (+ (/ 1 (sqr N)) (/ 1 (pow N 3))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ (/ (/ 1 N) N) (/ 1 (cube N))) 1)) * * * * [misc]progress: [ 7 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (+ (sqr N) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (sqr N))) * * * * [misc]progress: [ 8 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ (/ 1 N) 1) (/ 1 (sqr N)))) * * * * [misc]progress: [ 9 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (- 1 (/ 1 N)) (/ (/ 1 N) N))) * * * * [misc]progress: [ 10 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (cube (cbrt (+ (sqr N) N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (sqr N) (+ 1 N))) * * * * [misc]progress: [ 11 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (cube (cbrt (+ (sqr N) N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (sqr N) (+ 1 N))) * * * * [misc]progress: [ 12 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (cube (cbrt (+ (sqr N) N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (sqr N) (+ 1 N))) * * * * [misc]progress: [ 13 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ N (sqr N)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (log (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (log (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 16 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ N (sqr N)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (exp (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 17 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (+ N (sqr N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N N) N)) * [exit]simplify: Simplified to (cbrt (+ (* N N) N)) * * * * [misc]progress: [ 18 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 N)) * [exit]simplify: Simplified to (cbrt (+ 1 N)) * [enter]simplify: Simplifying (cbrt N) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt N) * [exit]simplify: Simplified to (cbrt N) * * * * [misc]progress: [ 19 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow N 3) (pow (sqr N) 3))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (cube N) (cube N)) (cube N))) * [exit]simplify: Simplified to (cbrt (+ (* (cube N) (cube N)) (cube N))) * [enter]simplify: Simplifying (cbrt (+ (sqr N) (- (sqr (sqr N)) (* N (sqr N))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (cbrt (* (* N N) (+ (- 1 N) (* N N)))) * [exit]simplify: Simplified to (cbrt (* (* N N) (+ (- 1 N) (* N N)))) * * * * [misc]progress: [ 20 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqr N) (sqr (sqr N)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (cbrt (- (* N N) (sqr (* N N)))) * [exit]simplify: Simplified to (cbrt (- (* N N) (sqr (* N N)))) * [enter]simplify: Simplifying (cbrt (- N (sqr N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (cbrt (- N (* N N))) * [exit]simplify: Simplified to (cbrt (- N (* N N))) * * * * [misc]progress: [ 21 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ N (sqr N)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 22 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (+ N (sqr N)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (+ (* N N) N) * [exit]simplify: Simplified to (+ (* N N) N) * * * * [misc]progress: [ 23 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ N (sqr N)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 24 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (cbrt (+ N (sqr N))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (log (+ (* N N) N)) * [exit]simplify: Simplified to (log (+ (* N N) N)) * * * * [misc]progress: [ 28 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (cbrt (+ N (sqr N))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (pow (exp N) (+ 1 N)) * [exit]simplify: Simplified to (pow (exp N) (+ 1 N)) * * * * [misc]progress: [ 29 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (cbrt (+ N (sqr N))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (cbrt (+ N (* N N))) * [exit]simplify: Simplified to (cbrt (+ N (* N N))) * * * * [misc]progress: [ 30 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (cbrt (+ N (sqr N))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (cube (+ (* N N) N)) * [exit]simplify: Simplified to (cube (+ (* N N) N)) * * * * [misc]progress: [ 31 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (cbrt (+ N (sqr N)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (+ (* N N) N) * [exit]simplify: Simplified to (+ (* N N) N) * * * * [misc]progress: [ 32 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (+ 1 N) * [exit]simplify: Simplified to (+ 1 N) * [enter]simplify: Simplifying (cube (cbrt N)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to N * [exit]simplify: Simplified to N * * * * [misc]progress: [ 33 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cube 1) * [exit]simplify: Simplified to (cube 1) * [enter]simplify: Simplifying (cube (cbrt (+ N (sqr N)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (+ (* N N) N) * [exit]simplify: Simplified to (+ (* N N) N) * * * * [misc]progress: [ 34 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (+ (pow N 3) (pow (sqr N) 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (+ (* (cube N) (cube N)) (cube N)) * [exit]simplify: Simplified to (+ (* (cube N) (cube N)) (cube N)) * [enter]simplify: Simplifying (cube (cbrt (+ (sqr N) (- (sqr (sqr N)) (* N (sqr N)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (* (+ (* N N) (- 1 N)) (* N N)) * [exit]simplify: Simplified to (* (+ (* N N) (- 1 N)) (* N N)) * * * * [misc]progress: [ 35 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (sqr N) (sqr (sqr N))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (- (* N N) (sqr (* N N))) * [exit]simplify: Simplified to (- (* N N) (sqr (* N N))) * [enter]simplify: Simplifying (cube (cbrt (- N (sqr N)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- N (* N N)) * [exit]simplify: Simplified to (- N (* N N)) * * * * [misc]progress: [ 36 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N (sqr N))) (cbrt (+ N (sqr N)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (sqr (cbrt (+ N (* N N)))) * [exit]simplify: Simplified to (sqr (cbrt (+ N (* N N)))) * * * * [misc]progress: [ 37 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (cbrt (+ N (sqr N))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (sqrt (+ (* N N) N)) * [exit]simplify: Simplified to (sqrt (+ (* N N) N)) * * * * [misc]progress: [ 38 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 (+ 1 0) (+ 1 (cube (cbrt (+ N (sqr N))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (log (atan2 1 (+ (sqr N) (+ 1 N)))) * [exit]simplify: Simplified to (log (atan2 1 (+ (sqr N) (+ 1 N)))) * * * * [misc]progress: [ 41 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 (+ 1 0) (+ 1 (cube (cbrt (+ N (sqr N))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (exp (atan2 1 (+ (sqr N) (+ 1 N)))) * [exit]simplify: Simplified to (exp (atan2 1 (+ (sqr N) (+ 1 N)))) * * * * [misc]progress: [ 42 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan2 (+ 1 0) (+ 1 (cube (cbrt (+ N (sqr N))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (sqr N) (+ 1 N)))) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (sqr N) (+ 1 N)))) * * * * [misc]progress: [ 43 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (atan2 (+ 1 0) (+ 1 (cube (cbrt (+ N (sqr N))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (cube (atan2 1 (+ (sqr N) (+ 1 N)))) * [exit]simplify: Simplified to (cube (atan2 1 (+ (sqr N) (+ 1 N)))) * * * * [misc]progress: [ 44 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 (+ 1 0) (+ 1 (cube (cbrt (+ N (sqr N))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (sqr N) (+ 1 N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (sqr N) (+ 1 N)))) * * * * [misc]progress: [ 45 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N (sqr N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (log (+ (* N N) N)) * [exit]simplify: Simplified to (log (+ (* N N) N)) * * * * [misc]progress: [ 48 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ N (sqr N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (pow (exp N) (+ 1 N)) * [exit]simplify: Simplified to (pow (exp N) (+ 1 N)) * * * * [misc]progress: [ 49 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ N (sqr N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N N) N)) * [exit]simplify: Simplified to (cbrt (+ (* N N) N)) * * * * [misc]progress: [ 50 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ N (sqr N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (cube (+ (* N N) N)) * [exit]simplify: Simplified to (cube (+ (* N N) N)) * * * * [misc]progress: [ 51 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ N (sqr N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (sqrt (+ (* N N) N)) * [exit]simplify: Simplified to (sqrt (+ (* N N) N)) * * * * [misc]progress: [ 52 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow N 3) (pow (sqr N) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (+ (* (cube N) (cube N)) (cube N)) * [exit]simplify: Simplified to (+ (* (cube N) (cube N)) (cube N)) * [enter]simplify: Simplifying (+ (sqr N) (- (sqr (sqr N)) (* N (sqr N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (* N N) (- (* N N) (- N 1))) * [exit]simplify: Simplified to (* (* N N) (- (* N N) (- N 1))) * * * * [misc]progress: [ 53 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr N) (sqr (sqr N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (- (* N N) (sqr (* N N))) * [exit]simplify: Simplified to (- (* N N) (sqr (* N N))) * [enter]simplify: Simplifying (- N (sqr N)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (- N (* N N)) * [exit]simplify: Simplified to (- N (* N N)) * * * * [misc]progress: [ 55 / 56 ] 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) * [exit]simplify: Simplified to (+ 1 N) * * * * [misc]progress: [ 56 / 56 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 N +inf.0)) , with alts (#) * [enter]simplify: Simplifying (- (sqr N) (sqr (sqr N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (- (* N N) (sqr (* N N))) * [exit]simplify: Simplified to (- (* N N) (sqr (* N N))) * [enter]simplify: Simplifying (- N (sqr N)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (- N (* N N)) * [exit]simplify: Simplified to (- N (* N N)) * [enter]simplify: Simplifying (sqrt (+ N (sqr N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (sqrt (+ (* N N) N)) * [exit]simplify: Simplified to (sqrt (+ (* N N) N)) * [enter]simplify: Simplifying (cbrt (+ N (sqr N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N N) N)) * [exit]simplify: Simplified to (cbrt (+ (* N N) N)) * [enter]simplify: Simplifying (atan2 1 (+ (sqr N) (+ 1 N))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (sqr N))) * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (sqr N))) * [enter]simplify: Simplifying (+ (* N N) (- 1 N)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (+ (- 1 N) (* N N)) * [exit]simplify: Simplified to (+ (- 1 N) (* N N)) * [enter]simplify: Simplifying (* N N) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (* N N) * [exit]simplify: Simplified to (* N N) * [enter]simplify: Simplifying (atan2 1 (+ (+ 1 N) (sqr N))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (sqr N) (+ N 1))) * [exit]simplify: Simplified to (atan2 1 (+ (sqr N) (+ N 1)))