* [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 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (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: simplifying candidates * * * * [misc]progress: [ 1 / 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) * [exit]simplify: Simplified to (+ 1 (+ N (* N N))) * [exit]simplify: Simplified to (+ 1 (+ N (* N N))) * * * * [misc]progress: [ 2 / 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: [ 3 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 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: [ 5 / 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: [ 6 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N)))) * [exit]simplify: Simplified to (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N)))) * [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: [ 7 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (- (atan (+ 1 N)) (atan N)) 3) * [exit]simplify: Simplified to (pow (- (atan (+ 1 N)) (atan N)) 3) * * * * [misc]progress: [ 8 / 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))) * [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: [ 9 / 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 (18 enodes) * [exit]simplify: Simplified to (- (pow (atan (+ 1 N)) 3) (pow (atan N) 3)) * [exit]simplify: Simplified to (- (pow (atan (+ 1 N)) 3) (pow (atan N) 3)) * [enter]simplify: Simplifying (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (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 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (+ (* (atan (+ 1 N)) (atan (+ 1 N))) (* (+ (atan N) (atan (+ 1 N))) (atan N))) * [exit]simplify: Simplified to (+ (* (atan (+ 1 N)) (atan (+ 1 N))) (* (+ (atan N) (atan (+ 1 N))) (atan N))) * * * * [misc]progress: [ 10 / 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: [ 11 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan 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 (24 enodes) * [exit]simplify: Simplified to (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan N))) * [exit]simplify: Simplified to (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan 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: [ 13 / 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: [ 14 / 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: [ 15 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 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: [ 17 / 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: [ 18 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N)))) * [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: [ 19 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (pow (atan (+ 1 N)) 3) * [exit]simplify: Simplified to (pow (atan (+ 1 N)) 3) * * * * [misc]progress: [ 20 / 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))) * [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: [ 21 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 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: [ 23 / 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: [ 24 / 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: [ 25 / 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: [ 26 / 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: [ 27 / 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: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) 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 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]approximate: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 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 (+ (/ 1 (pow N 2)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]approximate: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]backup-simplify: Simplify (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 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 (/ 1 (pow N 2))) (/ 1 N))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ (pow N 2) N) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) N) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 -1)) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) N) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 (+ 1 0) (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (log (atan2 1 (+ 1 (+ (* N N) N)))) * [exit]simplify: Simplified to (log (atan2 1 (+ 1 (+ (* N N) N)))) * * * * [misc]progress: [ 3 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 (+ 1 0) (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (exp (atan2 1 (+ 1 (+ (* N N) N)))) * [exit]simplify: Simplified to (exp (atan2 1 (+ 1 (+ (* N N) N)))) * * * * [misc]progress: [ 4 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan2 (+ 1 0) (+ 1 (* (+ N 1) N)))) (cbrt (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (+ 1 (+ N (* N N))))) (cbrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (+ 1 (+ N (* N N))))) (cbrt (atan2 1 (+ 1 (+ N (* N N)))))) * [enter]simplify: Simplifying (cbrt (atan2 (+ 1 0) (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ 1 (+ (* N N) N)))) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ 1 (+ (* N N) N)))) * * * * [misc]progress: [ 5 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))) (atan2 (+ 1 0) (+ 1 (* (+ N 1) N)))) (atan2 (+ 1 0) (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (pow (atan2 1 (+ 1 (+ (* N N) N))) 3) * [exit]simplify: Simplified to (pow (atan2 1 (+ 1 (+ (* N N) N))) 3) * * * * [misc]progress: [ 6 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 (+ 1 0) (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) * [enter]simplify: Simplifying (sqrt (atan2 (+ 1 0) (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) * * * * [misc]progress: [ 7 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (log (+ (* N N) N)) * [exit]simplify: Simplified to (log (+ (* N N) N)) * * * * [misc]progress: [ 10 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (pow (exp N) (+ 1 N)) * [exit]simplify: Simplified to (pow (exp N) (+ 1 N)) * * * * [misc]progress: [ 11 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N))) * [enter]simplify: Simplifying (cbrt (* (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (cbrt (+ N (* N N))) * [exit]simplify: Simplified to (cbrt (+ N (* N N))) * * * * [misc]progress: [ 12 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ N 1) N) (* (+ N 1) N)) (* (+ N 1) N)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (pow (+ (* N N) N) 3) * [exit]simplify: Simplified to (pow (+ (* N N) N) 3) * * * * [misc]progress: [ 13 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ N (* N N))) * [exit]simplify: Simplified to (sqrt (+ N (* N N))) * [enter]simplify: Simplifying (sqrt (* (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ N (* N N))) * [exit]simplify: Simplified to (sqrt (+ N (* N N))) * * * * [misc]progress: [ 14 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) N) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) N) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) N) * * * * [misc]progress: [ 16 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ N 1)) N) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 N)) N) * [exit]simplify: Simplified to (* (sqrt (+ 1 N)) N) * * * * [misc]progress: [ 17 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ N 1) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (+ (* N N) N) * [exit]simplify: Simplified to (+ (* N N) N) * * * * [misc]progress: [ 18 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow N 3) (pow 1 3)) N) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (+ (* (* N N) (* N N)) N) * [exit]simplify: Simplified to (+ (* (* N N) (* N N)) N) * * * * [misc]progress: [ 19 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* N N) (* 1 1)) N) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* N (- (* N N) 1)) * [exit]simplify: Simplified to (* N (- (* N N) 1)) * * * * [misc]progress: [ 20 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (+ (pow N 2) N))) * * [misc]simplify: iters left: 6 (7 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 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 22 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 (/ 1 N)) (/ 1 (* N N)))) * * * * [misc]progress: [ 23 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (- 1 (/ 1 N)) (/ 1 (* N N)))) * * * * [misc]progress: [ 24 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (+ (pow N 2) N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ 1 N))) * * * * [misc]progress: [ 25 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (+ (pow N 2) N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ 1 N))) * * * * [misc]progress: [ 26 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (+ (pow N 2) N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ 1 N))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (* (cbrt (+ N 1)) (cbrt (+ N 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ N 1)) (cbrt (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]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 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]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 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ N 1)) (cbrt (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]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 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]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 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (* 1/3 1)) into 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [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 (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [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 (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify (+ (* 1 -1/9) (+ (* 1/3 1/3) (* -1/9 1))) into -1/9 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]backup-simplify: Simplify (+ (* -1/9 (pow N 2)) (+ (* 2/3 N) 1)) into (- (+ 1 (* 2/3 N)) (* 1/9 (pow N 2))) * [misc]approximate: Taking taylor expansion of (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]backup-simplify: Simplify (* (pow N -1/3) (pow N -1/3)) into (pow (/ 1 (pow N 2)) 1/3) * [misc]backup-simplify: Simplify (pow (/ 1 (pow N 2)) 1/3) into (pow (/ 1 (pow N 2)) 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (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 (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (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 (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow N -1/3) (* 1/3 (pow (/ 1 N) 1/3))) (* (* 1/3 (pow (/ 1 N) 1/3)) (pow N -1/3))) into (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (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 (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (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 (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow N -1/3) (* -1/9 (pow (/ 1 N) 1/3))) (+ (* (* 1/3 (pow (/ 1 N) 1/3)) (* 1/3 (pow (/ 1 N) 1/3))) (* (* -1/9 (pow (/ 1 N) 1/3)) (pow N -1/3)))) into (- (* 1/9 (pow (/ 1 (pow N 2)) 1/3))) * [misc]backup-simplify: Simplify (- (* 1/9 (pow (/ 1 (pow N 2)) 1/3))) into (- (* 1/9 (pow (/ 1 (pow N 2)) 1/3))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/9 (pow (/ 1 (pow N 2)) 1/3))) (pow (/ 1 N) 2)) (+ (* (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) (/ 1 N)) (pow (/ 1 (pow N 2)) 1/3))) into (- (+ (* 2/3 (pow (/ 1 (pow N 5)) 1/3)) (pow (/ 1 (pow N 2)) 1/3)) (* 1/9 (pow (/ 1 (pow N 8)) 1/3))) * [misc]approximate: Taking taylor expansion of (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (exp (* 1/3 (- (log -1) (log N))))) into (pow (exp (* 1/3 (- (log -1) (log N)))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (- (log -1) (log N)))) 2) into (pow (exp (* 1/3 (- (log -1) (log N)))) 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log N)))) (* -1/3 (exp (* 1/3 (- (log -1) (log N)))))) (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (exp (* 1/3 (- (log -1) (log N)))))) into (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) * [misc]backup-simplify: Simplify (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) into (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 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)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log N)))) (* -1/9 (exp (* 1/3 (- (log -1) (log N)))))) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (* -1/3 (exp (* 1/3 (- (log -1) (log N)))))) (* (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) (exp (* 1/3 (- (log -1) (log N))))))) into (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) * [misc]backup-simplify: Simplify (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) into (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) (/ 1 (- N))) (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) into (- (+ (* 2/3 (/ (pow (exp (* 1/3 (- (log -1) (log N)))) 2) N)) (pow (exp (* 1/3 (- (log -1) (log N)))) 2)) (* 1/9 (/ (pow (exp (* 1/3 (- (log -1) (log N)))) 2) (pow N 2)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]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 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]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 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]backup-simplify: Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ 1 (* 1/3 N)) (* 1/9 (pow N 2))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]backup-simplify: Simplify (pow N -1/3) into (pow N -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 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 (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (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 (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow N -1/3))) into (- (+ (* 1/3 (pow (/ 1 (pow N 4)) 1/3)) (pow N -1/3)) (* 1/9 (pow (/ 1 (pow N 7)) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log N)))))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log N)))) N)) (exp (* 1/3 (- (log -1) (log N))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log N)))) (pow N 2)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]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 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]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 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]backup-simplify: Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ 1 (* 1/3 N)) (* 1/9 (pow N 2))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]backup-simplify: Simplify (pow N -1/3) into (pow N -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 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 (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (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 (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow N -1/3))) into (- (+ (* 1/3 (pow (/ 1 (pow N 4)) 1/3)) (pow N -1/3)) (* 1/9 (pow (/ 1 (pow N 7)) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log N)))))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log N)))) N)) (exp (* 1/3 (- (log -1) (log N))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log N)))) (pow N 2)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]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 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]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 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]backup-simplify: Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ 1 (* 1/3 N)) (* 1/9 (pow N 2))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]backup-simplify: Simplify (pow N -1/3) into (pow N -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 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 (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (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 (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow N -1/3))) into (- (+ (* 1/3 (pow (/ 1 (pow N 4)) 1/3)) (pow N -1/3)) (* 1/9 (pow (/ 1 (pow N 7)) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log N)))))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log N)))) N)) (exp (* 1/3 (- (log -1) (log N))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log N)))) (pow N 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1/3 1/3) * [exit]simplify: Simplified to (+ 1/3 1/3) * * * * [misc]progress: [ 2 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 3 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ N 1) (+ N 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (+ 1 N) (+ 1 N)) * [exit]simplify: Simplified to (* (+ 1 N) (+ 1 N)) * * * * [misc]progress: [ 4 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) * * * * [misc]progress: [ 5 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 7 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (+ N 1))) (log (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) * * * * [misc]progress: [ 9 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * * * * [misc]progress: [ 10 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (exp (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * * * * [misc]progress: [ 11 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ N 1) (+ N 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (+ 1 N) (+ 1 N)) * [exit]simplify: Simplified to (* (+ 1 N) (+ 1 N)) * * * * [misc]progress: [ 12 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) * [enter]simplify: Simplifying (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * * * * [misc]progress: [ 13 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (+ 1 N) (+ 1 N)) * [exit]simplify: Simplified to (* (+ 1 N) (+ 1 N)) * * * * [misc]progress: [ 14 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 N))) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 N))) * [enter]simplify: Simplifying (sqrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 N))) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 N))) * * * * [misc]progress: [ 15 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (pow N 3) (pow 1 3))) (cbrt (+ (pow N 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 (pow N 3))) (cbrt (+ 1 (pow N 3)))) * [exit]simplify: Simplified to (* (cbrt (+ 1 (pow N 3))) (cbrt (+ 1 (pow N 3)))) * [enter]simplify: Simplifying (* (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (+ (* N N) (- (* 1 1) (* N 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* N N) (- 1 N))) (cbrt (+ (* N N) (- 1 N)))) * [exit]simplify: Simplified to (* (cbrt (+ (* N N) (- 1 N))) (cbrt (+ (* N N) (- 1 N)))) * * * * [misc]progress: [ 16 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (pow N 3) (pow 1 3))) (cbrt (- (* N N) (* 1 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* N N) 1)) (cbrt (+ 1 (pow N 3)))) * [exit]simplify: Simplified to (* (cbrt (- (* N N) 1)) (cbrt (+ 1 (pow N 3)))) * [enter]simplify: Simplifying (* (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (- N 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (- N 1)) (cbrt (+ (* N N) (- 1 N)))) * [exit]simplify: Simplified to (* (cbrt (- N 1)) (cbrt (+ (* N N) (- 1 N)))) * * * * [misc]progress: [ 17 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* N N) (* 1 1))) (cbrt (+ (pow N 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (pow N 3) 1)) (cbrt (- (* N N) 1))) * [exit]simplify: Simplified to (* (cbrt (+ (pow N 3) 1)) (cbrt (- (* N N) 1))) * [enter]simplify: Simplifying (* (cbrt (- N 1)) (cbrt (+ (* N N) (- (* 1 1) (* N 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (- 1 N) (* N N))) (cbrt (- N 1))) * [exit]simplify: Simplified to (* (cbrt (+ (- 1 N) (* N N))) (cbrt (- N 1))) * * * * [misc]progress: [ 18 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* N N) (* 1 1))) (cbrt (- (* N N) (* 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* N N) 1)) (cbrt (- (* N N) 1))) * [exit]simplify: Simplified to (* (cbrt (- (* N N) 1)) (cbrt (- (* N N) 1))) * [enter]simplify: Simplifying (* (cbrt (- N 1)) (cbrt (- N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (- N 1)) (cbrt (- N 1))) * [exit]simplify: Simplified to (* (cbrt (- N 1)) (cbrt (- N 1))) * * * * [misc]progress: [ 19 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) * * * * [misc]progress: [ 21 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt (sqrt (+ N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (sqrt (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (sqrt (+ 1 N)))) * * * * [misc]progress: [ 22 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt 1)) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt 1)) * * * * [misc]progress: [ 23 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N))))) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N))))) * * * * [misc]progress: [ 24 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (sqrt (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (sqrt (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (sqrt (cbrt (+ 1 N)))) * * * * [misc]progress: [ 25 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 N)) * [exit]simplify: Simplified to (cbrt (+ 1 N)) * * * * [misc]progress: [ 26 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ N 1))) (cbrt (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (cbrt (+ 1 N)))) * * * * [misc]progress: [ 27 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ N 1))) (cbrt (+ N 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (sqrt (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (sqrt (+ 1 N)))) * * * * [misc]progress: [ 28 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) * * * * [misc]progress: [ 29 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ N 1))) (cbrt (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (cbrt (+ 1 N)))) * * * * [misc]progress: [ 30 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (+ N 1))) (cbrt (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (sqrt (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (sqrt (cbrt (+ 1 N)))) * * * * [misc]progress: [ 31 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) * * * * [misc]progress: [ 32 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt (+ (pow N 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 (pow N 3))) (cbrt (+ 1 N))) * [exit]simplify: Simplified to (* (cbrt (+ 1 (pow N 3))) (cbrt (+ 1 N))) * * * * [misc]progress: [ 33 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt (- (* N N) (* 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (- (* N N) 1))) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (- (* N N) 1))) * * * * [misc]progress: [ 34 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (pow N 3) (pow 1 3))) (cbrt (+ N 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (+ N 1)) (cbrt (+ 1 (pow N 3)))) * [exit]simplify: Simplified to (* (cbrt (+ N 1)) (cbrt (+ 1 (pow N 3)))) * * * * [misc]progress: [ 35 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* N N) (* 1 1))) (cbrt (+ N 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* N N) 1)) (cbrt (+ N 1))) * [exit]simplify: Simplified to (* (cbrt (- (* N N) 1)) (cbrt (+ N 1))) * * * * [misc]progress: [ 36 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * * * * [misc]progress: [ 40 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ 1 N))) * [exit]simplify: Simplified to (exp (cbrt (+ 1 N))) * * * * [misc]progress: [ 41 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 N))) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 N))) * * * * [misc]progress: [ 42 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 N))) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 N))) * [enter]simplify: Simplifying (cbrt (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 N))) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 N))) * * * * [misc]progress: [ 43 / 87 ] 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 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)) * * * * [misc]progress: [ 44 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (pow N 3))) * [exit]simplify: Simplified to (cbrt (+ 1 (pow N 3))) * [enter]simplify: Simplifying (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) * * [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 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N N) (- 1 N))) * [exit]simplify: Simplified to (cbrt (+ (* N N) (- 1 N))) * * * * [misc]progress: [ 45 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* N N) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (cbrt (- (* N N) 1)) * [exit]simplify: Simplified to (cbrt (- (* N N) 1)) * [enter]simplify: Simplifying (cbrt (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (- N 1)) * [exit]simplify: Simplified to (cbrt (- N 1)) * * * * [misc]progress: [ 46 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 N))) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 N))) * * * * [misc]progress: [ 47 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (cbrt (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ 1 N) * [exit]simplify: Simplified to (+ 1 N) * * * * [misc]progress: [ 48 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 N))) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 N))) * [enter]simplify: Simplifying (sqrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 N))) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 N))) * * * * [misc]progress: [ 49 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * * * * [misc]progress: [ 53 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ 1 N))) * [exit]simplify: Simplified to (exp (cbrt (+ 1 N))) * * * * [misc]progress: [ 54 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 N))) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 N))) * * * * [misc]progress: [ 55 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 N))) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 N))) * [enter]simplify: Simplifying (cbrt (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 N))) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 N))) * * * * [misc]progress: [ 56 / 87 ] 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 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)) * * * * [misc]progress: [ 57 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (pow N 3))) * [exit]simplify: Simplified to (cbrt (+ 1 (pow N 3))) * [enter]simplify: Simplifying (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) * * [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 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N N) (- 1 N))) * [exit]simplify: Simplified to (cbrt (+ (* N N) (- 1 N))) * * * * [misc]progress: [ 58 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* N N) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (cbrt (- (* N N) 1)) * [exit]simplify: Simplified to (cbrt (- (* N N) 1)) * [enter]simplify: Simplifying (cbrt (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (- N 1)) * [exit]simplify: Simplified to (cbrt (- N 1)) * * * * [misc]progress: [ 59 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 N))) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 N))) * * * * [misc]progress: [ 60 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (cbrt (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ 1 N) * [exit]simplify: Simplified to (+ 1 N) * * * * [misc]progress: [ 61 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 N))) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 N))) * [enter]simplify: Simplifying (sqrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 N))) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 N))) * * * * [misc]progress: [ 62 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * * * * [misc]progress: [ 66 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ 1 N))) * [exit]simplify: Simplified to (exp (cbrt (+ 1 N))) * * * * [misc]progress: [ 67 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 N))) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 N))) * * * * [misc]progress: [ 68 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 N))) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 N))) * [enter]simplify: Simplifying (cbrt (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 N))) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 N))) * * * * [misc]progress: [ 69 / 87 ] 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 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)) * * * * [misc]progress: [ 70 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (pow N 3))) * [exit]simplify: Simplified to (cbrt (+ 1 (pow N 3))) * [enter]simplify: Simplifying (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) * * [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 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N N) (- 1 N))) * [exit]simplify: Simplified to (cbrt (+ (* N N) (- 1 N))) * * * * [misc]progress: [ 71 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* N N) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (cbrt (- (* N N) 1)) * [exit]simplify: Simplified to (cbrt (- (* N N) 1)) * [enter]simplify: Simplifying (cbrt (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (- N 1)) * [exit]simplify: Simplified to (cbrt (- N 1)) * * * * [misc]progress: [ 72 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 N))) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 N))) * * * * [misc]progress: [ 73 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (cbrt (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ 1 N) * [exit]simplify: Simplified to (+ 1 N) * * * * [misc]progress: [ 74 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 N))) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 N))) * [enter]simplify: Simplifying (sqrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 N))) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 N))) * * * * [misc]progress: [ 75 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (- (+ 1 (* 2/3 N)) (* 1/9 (pow N 2))) (* (cbrt (+ N 1)) N)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* (* N (cbrt (+ N 1))) (- (+ 1 (* 2/3 N)) (* (* N N) 1/9))) 1)) * * * * [misc]progress: [ 77 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (- (+ (* 2/3 (pow (/ 1 (pow N 5)) 1/3)) (pow (/ 1 (pow N 2)) 1/3)) (* 1/9 (pow (/ 1 (pow N 8)) 1/3))) (* (cbrt (+ N 1)) N)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (atan2 1 (+ 1 (* (* N (cbrt (+ N 1))) (- (+ (cbrt (/ (/ 1 N) N)) (* (cbrt (/ 1 (pow N 5))) 2/3)) (* (cbrt (/ 1 (pow N 8))) 1/9))))) * * * * [misc]progress: [ 78 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (- (+ (* 2/3 (/ (pow (exp (* 1/3 (- (log -1) (log N)))) 2) N)) (pow (exp (* 1/3 (- (log -1) (log N)))) 2)) (* 1/9 (/ (pow (exp (* 1/3 (- (log -1) (log N)))) 2) (pow N 2)))) (* (cbrt (+ N 1)) N)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (335 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ (* (/ (pow (/ -1 N) (+ 1/3 1/3)) N) (* (cbrt (+ 1 N)) (* 2/3 N))) 1) (* (* N (cbrt (+ 1 N))) (- (pow (/ -1 N) (+ 1/3 1/3)) (/ (pow (/ -1 N) (+ 1/3 1/3)) (/ (* N N) 1/9)))))) * * * * [misc]progress: [ 79 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (- (+ 1 (* 1/3 N)) (* 1/9 (pow N 2))) N)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* (+ N (* (- 1/3 (* 1/9 N)) (* N N))) (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 1)) * * * * [misc]progress: [ 80 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (- (+ (* 1/3 (pow (/ 1 (pow N 4)) 1/3)) (pow N -1/3)) (* 1/9 (pow (/ 1 (pow N 7)) 1/3))) N)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* N (cbrt (+ 1 N)))) (- (+ (* 1/3 (cbrt (/ 1 (pow N 4)))) (pow N -1/3)) (* (cbrt (/ 1 (pow N 7))) 1/9))))) * * * * [misc]progress: [ 81 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log N)))) N)) (exp (* 1/3 (- (log -1) (log N))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log N)))) (pow N 2)))) N)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (207 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (atan2 1 (+ 1 (* (* (pow (exp 1/3) (- (log -1) (log N))) (- (+ 1 (/ 1/3 N)) (/ (/ 1/9 N) N))) (* (* N (cbrt (+ 1 N))) (cbrt (+ 1 N)))))) * * * * [misc]progress: [ 82 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (* (cbrt (+ N 1)) (- (+ 1 (* 1/3 N)) (* 1/9 (pow N 2)))) (* (cbrt (+ N 1)) N)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (238 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 (* N (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) (* (* N (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* N (- 1/3 (* 1/9 N)))))) * * * * [misc]progress: [ 83 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (* (cbrt (+ N 1)) (- (+ (* 1/3 (pow (/ 1 (pow N 4)) 1/3)) (pow N -1/3)) (* 1/9 (pow (/ 1 (pow N 7)) 1/3)))) (* (cbrt (+ N 1)) N)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (atan2 1 (+ 1 (* (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) N) (- (* (cbrt (/ 1 (pow N 4))) 1/3) (- (* 1/9 (cbrt (/ 1 (pow N 7)))) (pow N -1/3)))))) * * * * [misc]progress: [ 84 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (* (cbrt (+ N 1)) (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log N)))) N)) (exp (* 1/3 (- (log -1) (log N))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log N)))) (pow N 2))))) (* (cbrt (+ N 1)) N)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (* N (cbrt (+ 1 N)))) (* (pow (exp 1/3) (- (log -1) (log N))) (- (+ 1 (/ 1/3 N)) (/ (/ 1/9 N) N)))))) * * * * [misc]progress: [ 85 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (* (- (+ 1 (* 1/3 N)) (* 1/9 (pow N 2))) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 (* (cbrt (+ N 1)) (* (cbrt (+ N 1)) N))) (* (* (cbrt (+ N 1)) N) (* (cbrt (+ N 1)) (* (- 1/3 (* 1/9 N)) N))))) * * * * [misc]progress: [ 86 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (* (- (+ (* 1/3 (pow (/ 1 (pow N 4)) 1/3)) (pow N -1/3)) (* 1/9 (pow (/ 1 (pow N 7)) 1/3))) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (* N (cbrt (+ N 1)))) (- (+ (pow N -1/3) (* (cbrt (/ 1 (pow N 4))) 1/3)) (* (cbrt (/ 1 (pow N 7))) 1/9))))) * * * * [misc]progress: [ 87 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (* (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log N)))) N)) (exp (* 1/3 (- (log -1) (log N))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log N)))) (pow N 2)))) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (* N (cbrt (+ N 1)))) (* (pow (exp 1/3) (- (log -1) (log N))) (- (+ 1 (/ 1/3 N)) (/ (/ 1/9 N) N)))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (- (* N N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (* N N) 1)) in N * [misc]taylor: Rewrote expression to (pow (- (* N N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (* N N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (* N N) 1))) in N * [misc]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 N) 1)) in N * [misc]taylor: Taking taylor expansion of (- (* N N) 1) in N * [misc]taylor: Taking taylor expansion of (* N N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (* N N) 1)) in N * [misc]taylor: Rewrote expression to (pow (- (* N N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (* N N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (* N N) 1))) in N * [misc]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 N) 1)) in N * [misc]taylor: Taking taylor expansion of (- (* N N) 1) in N * [misc]taylor: Taking taylor expansion of (* N N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log -1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow -1 1)))) 2) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (+ (* 0 0) (* 0 (log -1)))) into -1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* -1/3 (pow -1 1/3)) into (* -1/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1) (+ (* 0 0) (* 0 (log -1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/3 1) 1)) (* (/ (pow 0 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 1) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 (log -1)))))) into -1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/3 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow -1 1/3)) into (* -1/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow -1 1/3)) (pow N 4)) (+ (* (* -1/3 (pow -1 1/3)) (pow N 2)) (pow -1 1/3))) into (- (pow -1 1/3) (+ (* 1/3 (* (pow -1 1/3) (pow N 2))) (* 1/9 (* (pow -1 1/3) (pow N 4))))) * [misc]approximate: Taking taylor expansion of (cbrt (- (* (/ 1 N) (/ 1 N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (* (/ 1 N) (/ 1 N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (- (* (/ 1 N) (/ 1 N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (* (/ 1 N) (/ 1 N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (* (/ 1 N) (/ 1 N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (* (/ 1 N) (/ 1 N)) 1)) in N * [misc]taylor: Taking taylor expansion of (- (* (/ 1 N) (/ 1 N)) 1) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (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) (/ 1 N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (- (* (/ 1 N) (/ 1 N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (* (/ 1 N) (/ 1 N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (* (/ 1 N) (/ 1 N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (* (/ 1 N) (/ 1 N)) 1)) in N * [misc]taylor: Taking taylor expansion of (- (* (/ 1 N) (/ 1 N)) 1) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (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 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1) 1)) (pow 1 1)))) 2) into -1 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/3) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 1/3) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) (pow (/ 1 N) 4)) (+ (* (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) (pow (/ 1 N) 2)) (pow N -2/3))) into (- (pow N -2/3) (+ (* 1/3 (pow (/ 1 (pow N 8)) 1/3)) (* 1/9 (pow (/ 1 (pow N 14)) 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (- (* (/ 1 (- N)) (/ 1 (- N))) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (* (/ 1 (- N)) (/ 1 (- N))) 1)) in N * [misc]taylor: Rewrote expression to (pow (- (* (/ 1 (- N)) (/ 1 (- N))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (* (/ 1 (- N)) (/ 1 (- N))) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (* (/ 1 (- N)) (/ 1 (- N))) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (* (/ 1 (- N)) (/ 1 (- N))) 1)) in N * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- N)) (/ 1 (- N))) 1) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (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)) (/ 1 (- N))) 1)) in N * [misc]taylor: Rewrote expression to (pow (- (* (/ 1 (- N)) (/ 1 (- N))) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (* (/ 1 (- N)) (/ 1 (- N))) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (* (/ 1 (- N)) (/ 1 (- N))) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (* (/ 1 (- N)) (/ 1 (- N))) 1)) in N * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- N)) (/ 1 (- N))) 1) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1) 1)) (pow 1 1)))) 2) into -1 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (+ (* 0 0) (* 0 (- (* 2 (log N)))))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1) (+ (* 0 0) (* 0 (- (* 2 (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 1/3) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 (- (* 2 (log N)))))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- 1/3) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) (pow (/ 1 (- N)) 4)) (+ (* (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) (pow (/ 1 (- N)) 2)) (pow N -2/3))) into (- (pow N -2/3) (+ (* 1/3 (pow (/ 1 (pow N 8)) 1/3)) (* 1/9 (pow (/ 1 (pow N 14)) 1/3)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (* (cbrt (+ N 1)) (cbrt (+ N 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ N 1)) (cbrt (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]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 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]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 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ N 1)) (cbrt (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]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 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]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 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (* 1/3 1)) into 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [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 (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [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 (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify (+ (* 1 -1/9) (+ (* 1/3 1/3) (* -1/9 1))) into -1/9 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]backup-simplify: Simplify (+ (* -1/9 (pow N 2)) (+ (* 2/3 N) 1)) into (- (+ 1 (* 2/3 N)) (* 1/9 (pow N 2))) * [misc]approximate: Taking taylor expansion of (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]backup-simplify: Simplify (* (pow N -1/3) (pow N -1/3)) into (pow (/ 1 (pow N 2)) 1/3) * [misc]backup-simplify: Simplify (pow (/ 1 (pow N 2)) 1/3) into (pow (/ 1 (pow N 2)) 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (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 (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (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 (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow N -1/3) (* 1/3 (pow (/ 1 N) 1/3))) (* (* 1/3 (pow (/ 1 N) 1/3)) (pow N -1/3))) into (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (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 (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (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 (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow N -1/3) (* -1/9 (pow (/ 1 N) 1/3))) (+ (* (* 1/3 (pow (/ 1 N) 1/3)) (* 1/3 (pow (/ 1 N) 1/3))) (* (* -1/9 (pow (/ 1 N) 1/3)) (pow N -1/3)))) into (- (* 1/9 (pow (/ 1 (pow N 2)) 1/3))) * [misc]backup-simplify: Simplify (- (* 1/9 (pow (/ 1 (pow N 2)) 1/3))) into (- (* 1/9 (pow (/ 1 (pow N 2)) 1/3))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/9 (pow (/ 1 (pow N 2)) 1/3))) (pow (/ 1 N) 2)) (+ (* (* 2/3 (pow (/ 1 (pow N 2)) 1/3)) (/ 1 N)) (pow (/ 1 (pow N 2)) 1/3))) into (- (+ (* 2/3 (pow (/ 1 (pow N 5)) 1/3)) (pow (/ 1 (pow N 2)) 1/3)) (* 1/9 (pow (/ 1 (pow N 8)) 1/3))) * [misc]approximate: Taking taylor expansion of (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (exp (* 1/3 (- (log -1) (log N))))) into (pow (exp (* 1/3 (- (log -1) (log N)))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (- (log -1) (log N)))) 2) into (pow (exp (* 1/3 (- (log -1) (log N)))) 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log N)))) (* -1/3 (exp (* 1/3 (- (log -1) (log N)))))) (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (exp (* 1/3 (- (log -1) (log N)))))) into (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) * [misc]backup-simplify: Simplify (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) into (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 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)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log N)))) (* -1/9 (exp (* 1/3 (- (log -1) (log N)))))) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (* -1/3 (exp (* 1/3 (- (log -1) (log N)))))) (* (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) (exp (* 1/3 (- (log -1) (log N))))))) into (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) * [misc]backup-simplify: Simplify (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) into (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) (/ 1 (- N))) (pow (exp (* 1/3 (- (log -1) (log N)))) 2))) into (- (+ (* 2/3 (/ (pow (exp (* 1/3 (- (log -1) (log N)))) 2) N)) (pow (exp (* 1/3 (- (log -1) (log N)))) 2)) (* 1/9 (/ (pow (exp (* 1/3 (- (log -1) (log N)))) 2) (pow N 2)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (- N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- N 1)) in N * [misc]taylor: Rewrote expression to (pow (- N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- N 1))) in N * [misc]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 1)) in N * [misc]taylor: Taking taylor expansion of (- N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- N 1)) in N * [misc]taylor: Rewrote expression to (pow (- N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- N 1))) in N * [misc]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 1)) in N * [misc]taylor: Taking taylor expansion of (- N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (log -1))) into -1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* -1/3 (pow -1 1/3)) into (* -1/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (- 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 (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (log -1)))) into -1/6 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow -1 1/3)) into (* -1/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow -1 1/3)) (pow N 2)) (+ (* (* -1/3 (pow -1 1/3)) N) (pow -1 1/3))) into (- (pow -1 1/3) (+ (* 1/9 (* (pow -1 1/3) (pow N 2))) (* 1/3 (* (pow -1 1/3) N)))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]backup-simplify: Simplify (pow N -1/3) into (pow N -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) 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 (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (* -1/3 (pow (/ 1 N) 1/3)) into (* -1/3 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -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 (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/3 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow N -1/3))) into (- (pow N -1/3) (+ (* 1/3 (pow (/ 1 (pow N 4)) 1/3)) (* 1/9 (pow (/ 1 (pow N 7)) 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (- (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (- (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 1) 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)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log -1) (log N)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* 1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (+ 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)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log -1) (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/3 (exp (* 1/3 (- (log -1) (log N))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log N)))))) into (- (exp (* 1/3 (- (log -1) (log N)))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log N)))) N)) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log N)))) (pow N 2))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]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 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]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 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]backup-simplify: Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ 1 (* 1/3 N)) (* 1/9 (pow N 2))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]backup-simplify: Simplify (pow N -1/3) into (pow N -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 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 (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (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 (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow N -1/3))) into (- (+ (* 1/3 (pow (/ 1 (pow N 4)) 1/3)) (pow N -1/3)) (* 1/9 (pow (/ 1 (pow N 7)) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log N)))))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log N)))) N)) (exp (* 1/3 (- (log -1) (log N))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log N)))) (pow N 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (- (* N N) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (log (cbrt (- (* N N) 1))) * [exit]simplify: Simplified to (log (cbrt (- (* N N) 1))) * * * * [misc]progress: [ 4 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (- (* N N) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (exp (cbrt (- (* N N) 1))) * [exit]simplify: Simplified to (exp (cbrt (- (* N N) 1))) * * * * [misc]progress: [ 5 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- (* N N) 1)) (cbrt (- (* N N) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (* N N) 1)) (cbrt (- (* N N) 1)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (* N N) 1)) (cbrt (- (* N N) 1)))) * [enter]simplify: Simplifying (cbrt (cbrt (- (* N N) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (- (* N N) 1))) * [exit]simplify: Simplified to (cbrt (cbrt (- (* N N) 1))) * * * * [misc]progress: [ 6 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (* N N) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (* N N) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (- (* N N) 1))) * [enter]simplify: Simplifying (cbrt (sqrt (- (* N N) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (* N N) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (- (* N N) 1))) * * * * [misc]progress: [ 7 / 88 ] 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 N) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (cbrt (- (* N N) 1)) * [exit]simplify: Simplified to (cbrt (- (* N N) 1)) * * * * [misc]progress: [ 8 / 88 ] 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 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (- N 1)) * [exit]simplify: Simplified to (cbrt (- N 1)) * * * * [misc]progress: [ 9 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow (* N N) 3) (pow 1 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (cbrt (- (pow (* N N) 3) 1)) * [exit]simplify: Simplified to (cbrt (- (pow (* N N) 3) 1)) * [enter]simplify: Simplifying (cbrt (+ (* (* N N) (* N N)) (+ (* 1 1) (* (* N N) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (* N N) (* N N)) (+ (* N N) 1))) * [exit]simplify: Simplified to (cbrt (+ (* (* N N) (* N N)) (+ (* N N) 1))) * * * * [misc]progress: [ 10 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (* N N) (* N N)) (* 1 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (cbrt (- (* (* N N) (* N N)) 1)) * [exit]simplify: Simplified to (cbrt (- (* (* N N) (* N N)) 1)) * [enter]simplify: Simplifying (cbrt (+ (* N N) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N N) 1)) * [exit]simplify: Simplified to (cbrt (+ (* N N) 1)) * * * * [misc]progress: [ 11 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (- (* N N) 1))) (cbrt (cbrt (- (* N N) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (* N N) 1))) (cbrt (cbrt (- (* N N) 1)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (* N N) 1))) (cbrt (cbrt (- (* N N) 1)))) * [enter]simplify: Simplifying (cbrt (cbrt (- (* N N) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (- (* N N) 1))) * [exit]simplify: Simplified to (cbrt (cbrt (- (* N N) 1))) * * * * [misc]progress: [ 12 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (- (* N N) 1)) (cbrt (- (* N N) 1))) (cbrt (- (* N N) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- (* N N) 1) * [exit]simplify: Simplified to (- (* N N) 1) * * * * [misc]progress: [ 13 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- (* N N) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- (* N N) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (- (* N N) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (- (* N N) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- (* N N) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (- (* N N) 1))) * * * * [misc]progress: [ 14 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1/3 1/3) * [exit]simplify: Simplified to (+ 1/3 1/3) * * * * [misc]progress: [ 16 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 17 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ N 1) (+ N 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (+ 1 N) (+ 1 N)) * [exit]simplify: Simplified to (* (+ 1 N) (+ 1 N)) * * * * [misc]progress: [ 18 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) * * * * [misc]progress: [ 19 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 21 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (+ N 1))) (log (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) * * * * [misc]progress: [ 23 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * * * * [misc]progress: [ 24 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (exp (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * * * * [misc]progress: [ 25 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ N 1) (+ N 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (+ 1 N) (+ 1 N)) * [exit]simplify: Simplified to (* (+ 1 N) (+ 1 N)) * * * * [misc]progress: [ 26 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) * [enter]simplify: Simplifying (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * * * * [misc]progress: [ 27 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (+ 1 N) (+ 1 N)) * [exit]simplify: Simplified to (* (+ 1 N) (+ 1 N)) * * * * [misc]progress: [ 28 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 N))) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 N))) * [enter]simplify: Simplifying (sqrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 N))) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 N))) * * * * [misc]progress: [ 29 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (pow N 3) (pow 1 3))) (cbrt (+ (pow N 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 (pow N 3))) (cbrt (+ 1 (pow N 3)))) * [exit]simplify: Simplified to (* (cbrt (+ 1 (pow N 3))) (cbrt (+ 1 (pow N 3)))) * [enter]simplify: Simplifying (* (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (+ (* N N) (- (* 1 1) (* N 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* N N) (- 1 N))) (cbrt (+ (* N N) (- 1 N)))) * [exit]simplify: Simplified to (* (cbrt (+ (* N N) (- 1 N))) (cbrt (+ (* N N) (- 1 N)))) * * * * [misc]progress: [ 30 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (pow N 3) (pow 1 3))) (cbrt (- (* N N) (* 1 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* N N) 1)) (cbrt (+ 1 (pow N 3)))) * [exit]simplify: Simplified to (* (cbrt (- (* N N) 1)) (cbrt (+ 1 (pow N 3)))) * [enter]simplify: Simplifying (* (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (- N 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (- N 1)) (cbrt (+ (* N N) (- 1 N)))) * [exit]simplify: Simplified to (* (cbrt (- N 1)) (cbrt (+ (* N N) (- 1 N)))) * * * * [misc]progress: [ 31 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* N N) (* 1 1))) (cbrt (+ (pow N 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (pow N 3) 1)) (cbrt (- (* N N) 1))) * [exit]simplify: Simplified to (* (cbrt (+ (pow N 3) 1)) (cbrt (- (* N N) 1))) * [enter]simplify: Simplifying (* (cbrt (- N 1)) (cbrt (+ (* N N) (- (* 1 1) (* N 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (- 1 N) (* N N))) (cbrt (- N 1))) * [exit]simplify: Simplified to (* (cbrt (+ (- 1 N) (* N N))) (cbrt (- N 1))) * * * * [misc]progress: [ 32 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* N N) (* 1 1))) (cbrt (- (* N N) (* 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* N N) 1)) (cbrt (- (* N N) 1))) * [exit]simplify: Simplified to (* (cbrt (- (* N N) 1)) (cbrt (- (* N N) 1))) * [enter]simplify: Simplifying (* (cbrt (- N 1)) (cbrt (- N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (- N 1)) (cbrt (- N 1))) * [exit]simplify: Simplified to (* (cbrt (- N 1)) (cbrt (- N 1))) * * * * [misc]progress: [ 33 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) * * * * [misc]progress: [ 35 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt (sqrt (+ N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (sqrt (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (sqrt (+ 1 N)))) * * * * [misc]progress: [ 36 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt 1)) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt 1)) * * * * [misc]progress: [ 37 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N))))) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N))))) * * * * [misc]progress: [ 38 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (sqrt (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (sqrt (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (sqrt (cbrt (+ 1 N)))) * * * * [misc]progress: [ 39 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 N)) * [exit]simplify: Simplified to (cbrt (+ 1 N)) * * * * [misc]progress: [ 40 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ N 1))) (cbrt (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (cbrt (+ 1 N)))) * * * * [misc]progress: [ 41 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ N 1))) (cbrt (+ N 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (sqrt (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (sqrt (+ 1 N)))) * * * * [misc]progress: [ 42 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) * * * * [misc]progress: [ 43 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ N 1))) (cbrt (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (cbrt (+ 1 N)))) * * * * [misc]progress: [ 44 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (+ N 1))) (cbrt (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (sqrt (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (sqrt (cbrt (+ 1 N)))) * * * * [misc]progress: [ 45 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) * * * * [misc]progress: [ 46 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt (+ (pow N 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 (pow N 3))) (cbrt (+ 1 N))) * [exit]simplify: Simplified to (* (cbrt (+ 1 (pow N 3))) (cbrt (+ 1 N))) * * * * [misc]progress: [ 47 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt (- (* N N) (* 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (- (* N N) 1))) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (- (* N N) 1))) * * * * [misc]progress: [ 48 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (pow N 3) (pow 1 3))) (cbrt (+ N 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (+ N 1)) (cbrt (+ 1 (pow N 3)))) * [exit]simplify: Simplified to (* (cbrt (+ N 1)) (cbrt (+ 1 (pow N 3)))) * * * * [misc]progress: [ 49 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* N N) (* 1 1))) (cbrt (+ N 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* N N) 1)) (cbrt (+ N 1))) * [exit]simplify: Simplified to (* (cbrt (- (* N N) 1)) (cbrt (+ N 1))) * * * * [misc]progress: [ 50 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (- N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (log (cbrt (- N 1))) * [exit]simplify: Simplified to (log (cbrt (- N 1))) * * * * [misc]progress: [ 54 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (- N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (exp (cbrt (- N 1))) * [exit]simplify: Simplified to (exp (cbrt (- N 1))) * * * * [misc]progress: [ 55 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- N 1)) (cbrt (- N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- N 1)) (cbrt (- N 1)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (- N 1)) (cbrt (- N 1)))) * [enter]simplify: Simplifying (cbrt (cbrt (- N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (- N 1))) * [exit]simplify: Simplified to (cbrt (cbrt (- N 1))) * * * * [misc]progress: [ 56 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- N 1))) * [exit]simplify: Simplified to (cbrt (sqrt (- N 1))) * [enter]simplify: Simplifying (cbrt (sqrt (- N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- N 1))) * [exit]simplify: Simplified to (cbrt (sqrt (- N 1))) * * * * [misc]progress: [ 57 / 88 ] 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 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (- N 1)) * [exit]simplify: Simplified to (cbrt (- N 1)) * * * * [misc]progress: [ 58 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (- (pow N 3) 1)) * [exit]simplify: Simplified to (cbrt (- (pow N 3) 1)) * [enter]simplify: Simplifying (cbrt (+ (* N N) (+ (* 1 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N N) (+ 1 N))) * [exit]simplify: Simplified to (cbrt (+ (* N N) (+ 1 N))) * * * * [misc]progress: [ 59 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* N N) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (cbrt (- (* N N) 1)) * [exit]simplify: Simplified to (cbrt (- (* N N) 1)) * [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)) * * * * [misc]progress: [ 60 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (- N 1))) (cbrt (cbrt (- N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- N 1))) (cbrt (cbrt (- N 1)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (- N 1))) (cbrt (cbrt (- N 1)))) * [enter]simplify: Simplifying (cbrt (cbrt (- N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (- N 1))) * [exit]simplify: Simplified to (cbrt (cbrt (- N 1))) * * * * [misc]progress: [ 61 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (- N 1)) (cbrt (- N 1))) (cbrt (- N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (- N 1) * [exit]simplify: Simplified to (- N 1) * * * * [misc]progress: [ 62 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- N 1))) * [exit]simplify: Simplified to (sqrt (cbrt (- N 1))) * [enter]simplify: Simplifying (sqrt (cbrt (- N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- N 1))) * [exit]simplify: Simplified to (sqrt (cbrt (- N 1))) * * * * [misc]progress: [ 63 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * * * * [misc]progress: [ 67 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ 1 N))) * [exit]simplify: Simplified to (exp (cbrt (+ 1 N))) * * * * [misc]progress: [ 68 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 N))) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 N))) * * * * [misc]progress: [ 69 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 N))) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 N))) * [enter]simplify: Simplifying (cbrt (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 N))) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 N))) * * * * [misc]progress: [ 70 / 88 ] 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 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)) * * * * [misc]progress: [ 71 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (pow N 3))) * [exit]simplify: Simplified to (cbrt (+ 1 (pow N 3))) * [enter]simplify: Simplifying (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) * * [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 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N N) (- 1 N))) * [exit]simplify: Simplified to (cbrt (+ (* N N) (- 1 N))) * * * * [misc]progress: [ 72 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* N N) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (cbrt (- (* N N) 1)) * [exit]simplify: Simplified to (cbrt (- (* N N) 1)) * [enter]simplify: Simplifying (cbrt (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (- N 1)) * [exit]simplify: Simplified to (cbrt (- N 1)) * * * * [misc]progress: [ 73 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 N))) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 N))) * * * * [misc]progress: [ 74 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (cbrt (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ 1 N) * [exit]simplify: Simplified to (+ 1 N) * * * * [misc]progress: [ 75 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 N))) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 N))) * [enter]simplify: Simplifying (sqrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 N))) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 N))) * * * * [misc]progress: [ 76 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (/ (- (pow -1 1/3) (+ (* 1/3 (* (pow -1 1/3) (pow N 2))) (* 1/9 (* (pow -1 1/3) (pow N 4))))) (cbrt (- N 1))) N)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (244 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* (- (/ (* (cbrt -1) N) (cbrt (- N 1))) (* (/ (* (cbrt -1) N) (cbrt (- N 1))) (+ (* (* 1/3 N) N) (* 1/9 (pow N 4))))) (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 1)) * * * * [misc]progress: [ 78 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (/ (- (pow N -2/3) (+ (* 1/3 (pow (/ 1 (pow N 8)) 1/3)) (* 1/9 (pow (/ 1 (pow N 14)) 1/3)))) (cbrt (- N 1))) N)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ N (cbrt (- N 1)))) (- (- (pow N -2/3) (* (cbrt (/ 1 (pow N 8))) 1/3)) (* 1/9 (cbrt (/ 1 (pow N 14)))))) 1)) * * * * [misc]progress: [ 79 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (/ (- (pow N -2/3) (+ (* 1/3 (pow (/ 1 (pow N 8)) 1/3)) (* 1/9 (pow (/ 1 (pow N 14)) 1/3)))) (cbrt (- N 1))) N)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ N (cbrt (- N 1)))) (- (- (pow N -2/3) (* (cbrt (/ 1 (pow N 8))) 1/3)) (* 1/9 (cbrt (/ 1 (pow N 14)))))) 1)) * * * * [misc]progress: [ 80 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (- (+ 1 (* 2/3 N)) (* 1/9 (pow N 2))) (* (/ (cbrt (- (* N N) 1)) (cbrt (- N 1))) N)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (atan2 1 (+ 1 (* (/ (cbrt (- (* N N) 1)) (cbrt (- N 1))) (+ (* (* N N) (- 2/3 (* 1/9 N))) N)))) * * * * [misc]progress: [ 81 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (- (+ (* 2/3 (pow (/ 1 (pow N 5)) 1/3)) (pow (/ 1 (pow N 2)) 1/3)) (* 1/9 (pow (/ 1 (pow N 8)) 1/3))) (* (/ (cbrt (- (* N N) 1)) (cbrt (- N 1))) N)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* (- (+ (cbrt (/ (/ 1 N) N)) (* (cbrt (/ 1 (pow N 5))) 2/3)) (* (cbrt (/ 1 (pow N 8))) 1/9)) (/ (cbrt (- (* N N) 1)) (/ (cbrt (- N 1)) N))) 1)) * * * * [misc]progress: [ 82 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (- (+ (* 2/3 (/ (pow (exp (* 1/3 (- (log -1) (log N)))) 2) N)) (pow (exp (* 1/3 (- (log -1) (log N)))) 2)) (* 1/9 (/ (pow (exp (* 1/3 (- (log -1) (log N)))) 2) (pow N 2)))) (* (/ (cbrt (- (* N N) 1)) (cbrt (- N 1))) N)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (462 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* (/ (cbrt (- (* N N) 1)) (/ (cbrt (- N 1)) N)) (- (pow (/ -1 N) (+ 1/3 1/3)) (* (/ (pow (/ -1 N) (+ 1/3 1/3)) N) (- (/ 1/9 N) 2/3)))) 1)) * * * * [misc]progress: [ 83 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (/ (cbrt (- (* N N) 1)) (- (pow -1 1/3) (+ (* 1/9 (* (pow -1 1/3) (pow N 2))) (* 1/3 (* (pow -1 1/3) N))))) N)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (312 enodes) * [exit]simplify: Simplified to (atan2 1 (+ 1 (/ (* (* (cbrt (- (* N N) 1)) N) (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (- (cbrt -1) (* N (* (cbrt -1) (+ (* 1/9 N) 1/3))))))) * * * * [misc]progress: [ 84 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (/ (cbrt (- (* N N) 1)) (- (pow N -1/3) (+ (* 1/3 (pow (/ 1 (pow N 4)) 1/3)) (* 1/9 (pow (/ 1 (pow N 7)) 1/3))))) N)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (atan2 1 (+ 1 (/ (* (* (cbrt (- (* N N) 1)) N) (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (- (pow N -1/3) (+ (* 1/3 (cbrt (/ 1 (pow N 4)))) (* (cbrt (/ 1 (pow N 7))) 1/9)))))) * * * * [misc]progress: [ 85 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (/ (cbrt (- (* N N) 1)) (- (exp (* 1/3 (- (log -1) (log N)))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log N)))) N)) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log N)))) (pow N 2)))))) N)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (247 enodes) * [exit]simplify: Simplified to (atan2 1 (+ 1 (/ (* (* (cbrt (- (* N N) 1)) N) (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (- (pow (exp 1/3) (- (log -1) (log N))) (/ (pow (exp 1/3) (- (log -1) (log N))) (/ N (+ (/ 1/9 N) 1/3))))))) * * * * [misc]progress: [ 86 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (* (cbrt (+ N 1)) (- (+ 1 (* 1/3 N)) (* 1/9 (pow N 2)))) (* (/ (cbrt (- (* N N) 1)) (cbrt (- N 1))) N)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (361 enodes) * [exit]simplify: Simplified to (atan2 1 (+ 1 (/ (* (- (+ 1 (* N 1/3)) (* (* N N) 1/9)) (* (cbrt (+ 1 N)) N)) (/ (cbrt (- N 1)) (cbrt (- (* N N) 1)))))) * * * * [misc]progress: [ 87 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (* (cbrt (+ N 1)) (- (+ (* 1/3 (pow (/ 1 (pow N 4)) 1/3)) (pow N -1/3)) (* 1/9 (pow (/ 1 (pow N 7)) 1/3)))) (* (/ (cbrt (- (* N N) 1)) (cbrt (- N 1))) N)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* (* (/ (cbrt (- (* N N) 1)) (cbrt (- N 1))) (* N (cbrt (+ 1 N)))) (+ (- (pow N -1/3) (* 1/9 (cbrt (/ 1 (pow N 7))))) (* (cbrt (/ 1 (pow N 4))) 1/3))) 1)) * * * * [misc]progress: [ 88 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (* (cbrt (+ N 1)) (- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log N)))) N)) (exp (* 1/3 (- (log -1) (log N))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log N)))) (pow N 2))))) (* (/ (cbrt (- (* N N) 1)) (cbrt (- N 1))) N)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* (* N (/ (cbrt (- (* N N) 1)) (/ (cbrt (- N 1)) (cbrt (+ 1 N))))) (- (* (+ (/ 1/3 N) 1) (pow (exp 1/3) (- (log -1) (log N)))) (/ (pow (exp 1/3) (- (log -1) (log N))) (* N (/ N 1/9))))) 1)) * * * [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 (atan2 1 (+ 1 (+ (* N N) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (atan2 1 (+ 1 (+ (* N N) N))) * [exit]simplify: Simplified to (atan2 1 (+ 1 (+ (* N N) N))) * [enter]simplify: Simplifying (atan2 1 (+ 1 (+ (* N N) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (atan2 1 (+ 1 (+ (* N N) N))) * [exit]simplify: Simplified to (atan2 1 (+ 1 (+ (* N N) N))) * [enter]simplify: Simplifying (+ (* N N) N) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (+ N (* N N)) * [exit]simplify: Simplified to (+ N (* N N)) * [enter]simplify: Simplifying (* (sqrt (+ N 1)) N) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 N)) N) * [exit]simplify: Simplified to (* (sqrt (+ 1 N)) N) * [enter]simplify: Simplifying (* (cbrt (+ N 1)) N) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) N) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) N) * [enter]simplify: Simplifying (- (* N N) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (- (* N N) 1) * [exit]simplify: Simplified to (- (* N N) 1) * [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)) * [enter]simplify: Simplifying (* (+ (pow N 3) (pow 1 3)) N) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (+ (* (* N N) (* N N)) N) * [exit]simplify: Simplified to (+ (* (* N N) (* N N)) N)