* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ 1 N)) * [misc]taylor: Taking taylor expansion of (atan N) in N * [misc]backup-simplify: Simplify (atan N) into (atan N) * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ 1 N)) * [misc]taylor: Taking taylor expansion of (atan N) in N * [misc]backup-simplify: Simplify (atan N) into (atan N) * [misc]backup-simplify: Simplify (- (atan N)) into (- (atan N)) * [misc]backup-simplify: Simplify (+ (atan (+ 1 N)) (- (atan N))) into (- (atan (+ 1 N)) (atan N)) * [misc]backup-simplify: Simplify (- (atan (+ 1 N)) (atan N)) into (- (atan (+ 1 N)) (atan N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (atan (+ 1 N)) (atan N)) into (- (atan (+ 1 N)) (atan N)) * [misc]approximate: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) * [misc]backup-simplify: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) * [misc]backup-simplify: Simplify (+ (atan (+ 1 (/ 1 N))) (- (atan (/ 1 N)))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * [misc]backup-simplify: Simplify (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * [misc]approximate: Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- N))) in N * [misc]backup-simplify: Simplify (atan (/ 1 (- N))) into (atan (/ -1 N)) * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- N))) in N * [misc]backup-simplify: Simplify (atan (/ 1 (- N))) into (atan (/ -1 N)) * [misc]backup-simplify: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) * [misc]backup-simplify: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ 1 N)) * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ 1 N)) * [misc]backup-simplify: Simplify (atan (+ 1 N)) into (atan (+ 1 N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (+ 1 N)) into (atan (+ 1 N)) * [misc]approximate: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N))) * [misc]backup-simplify: Simplify (atan (+ 1 (/ 1 N))) into (atan (+ 1 (/ 1 N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (+ 1 (/ 1 N))) into (atan (+ 1 (/ 1 N))) * [misc]approximate: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ 1 N)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * * [misc]progress: [ 2 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * * * * [misc]progress: [ 3 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * * * * [misc]progress: [ 4 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ 1 N)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * * [misc]progress: [ 5 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ 1 (/ 1 N))) (atan N)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 (/ 1 N))) (atan N)) * * * * [misc]progress: [ 6 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (- 1 (/ 1 N))) (atan N)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (- (atan (- 1 (/ 1 N))) (atan N)) * * * * [misc]progress: [ 7 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ N 1) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (+ 1 0) * [exit]simplify: Simplified to (+ 1 0) * [enter]simplify: Simplifying (+ 1 (* (+ N 1) N)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (+ 1 (+ N (sqr N))) * [exit]simplify: Simplified to (+ 1 (+ N (sqr N))) * * * * [misc]progress: [ 8 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (atan (+ N 1))) (exp (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (exp (- (atan (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (exp (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 9 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (- (atan (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (log (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 11 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (exp (- (atan (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (exp (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 12 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (- (atan (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (cbrt (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 13 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cube (- (atan (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (cube (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 14 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (- (atan (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (sqrt (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 15 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (atan (+ N 1)) 3) (pow (atan N) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (- (cube (atan (+ 1 N))) (cube (atan N))) * [exit]simplify: Simplified to (- (cube (atan (+ 1 N))) (cube (atan N))) * [enter]simplify: Simplifying (+ (sqr (atan (+ N 1))) (+ (sqr (atan N)) (* (atan (+ N 1)) (atan N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (+ (sqr (atan (+ 1 N))) (* (+ (atan N) (atan (+ 1 N))) (atan N))) * [exit]simplify: Simplified to (+ (sqr (atan (+ 1 N))) (* (+ (atan N) (atan (+ 1 N))) (atan N))) * * * * [misc]progress: [ 16 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (atan N)) * [exit]simplify: Simplified to (- (atan N)) * * * * [misc]progress: [ 17 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (atan (+ N 1))) (sqr (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (* (- (atan (+ 1 N)) (atan N)) (+ (atan N) (atan (+ 1 N)))) * [exit]simplify: Simplified to (* (- (atan (+ 1 N)) (atan N)) (+ (atan N) (atan (+ 1 N)))) * [enter]simplify: Simplifying (+ (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ (atan (+ 1 N)) (atan N)) * [exit]simplify: Simplified to (+ (atan (+ 1 N)) (atan N)) * * * * [misc]progress: [ 19 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))) * [exit]simplify: Simplified to (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))) * [enter]simplify: Simplifying (- (sqrt (atan (+ N 1))) (sqrt (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) * [exit]simplify: Simplified to (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) * * * * [misc]progress: [ 20 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * * * * [misc]progress: [ 21 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (atan (+ 1 N))) * [exit]simplify: Simplified to (log (atan (+ 1 N))) * * * * [misc]progress: [ 23 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (atan (+ 1 N))) * [exit]simplify: Simplified to (exp (atan (+ 1 N))) * * * * [misc]progress: [ 24 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (atan (+ 1 N))) * [exit]simplify: Simplified to (cbrt (atan (+ 1 N))) * * * * [misc]progress: [ 25 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cube (atan (+ 1 N))) * [exit]simplify: Simplified to (cube (atan (+ 1 N))) * * * * [misc]progress: [ 26 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (atan (+ 1 N))) * [exit]simplify: Simplified to (sqrt (atan (+ 1 N))) * * * * [misc]progress: [ 27 / 27 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (+ N (sqr N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (+ N (sqr N)))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (+ N (sqr N)))) into (atan2 1 (+ 1 (+ (sqr N) N))) * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (+ N (sqr N)))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (+ N (sqr N)))) into (atan2 1 (+ 1 (+ (sqr N) N))) * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (sqr N) N))) into (atan2 1 (+ 1 (+ (sqr N) N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (sqr N) N))) into (atan2 1 (+ 1 (+ (sqr N) N))) * [misc]approximate: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (+ (/ 1 N) (sqr (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (+ (/ 1 N) (sqr (/ 1 N))))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (+ (/ 1 N) (sqr (/ 1 N))))) into (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (+ (/ 1 N) (sqr (/ 1 N))))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (+ (/ 1 N) (sqr (/ 1 N))))) into (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) into (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) into (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * [misc]approximate: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (+ (/ 1 (- N)) (sqr (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (+ (/ 1 (- N)) (sqr (/ 1 (- N)))))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (+ (/ 1 (- N)) (sqr (/ 1 (- N)))))) into (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (+ (/ 1 (- N)) (sqr (/ 1 (- N)))))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (+ (/ 1 (- N)) (sqr (/ 1 (- N)))))) into (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (+ N (sqr N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ N (sqr N)) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ N (sqr N)) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (sqr N)) (* 1 N)) into (+ (sqr N) N) * [misc]approximate: Taking taylor expansion of (+ (/ 1 N) (sqr (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) (sqr (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) (sqr (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (sqr (/ 1 (/ 1 N))))) into (+ (sqr N) N) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (- N)) (sqr (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) (sqr (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) (sqr (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (sqr (/ 1 (/ 1 (- N)))))) into (+ (sqr N) N) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (+ (sqr N) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (sqr N))) * * * * [misc]progress: [ 2 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ (/ 1 N) 1) (/ 1 (sqr N)))) * * * * [misc]progress: [ 3 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (- 1 (/ 1 N)) (/ (/ 1 N) N))) * * * * [misc]progress: [ 4 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (+ (sqr N) N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 N) (sqr N))) * * * * [misc]progress: [ 5 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (+ (sqr N) N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 N) (sqr N))) * * * * [misc]progress: [ 6 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (+ (sqr N) N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 N) (sqr N))) * * * * [misc]progress: [ 7 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 (+ 1 0) (+ 1 (+ N (sqr N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (log (atan2 1 (+ (sqr N) (+ 1 N)))) * [exit]simplify: Simplified to (log (atan2 1 (+ (sqr N) (+ 1 N)))) * * * * [misc]progress: [ 9 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 (+ 1 0) (+ 1 (+ N (sqr N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (exp (atan2 1 (+ (sqr N) (+ 1 N)))) * [exit]simplify: Simplified to (exp (atan2 1 (+ (sqr N) (+ 1 N)))) * * * * [misc]progress: [ 10 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan2 (+ 1 0) (+ 1 (+ N (sqr N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (sqr N) (+ 1 N)))) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (sqr N) (+ 1 N)))) * * * * [misc]progress: [ 11 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (atan2 (+ 1 0) (+ 1 (+ N (sqr N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (cube (atan2 1 (+ (+ 1 N) (sqr N)))) * [exit]simplify: Simplified to (cube (atan2 1 (+ (+ 1 N) (sqr N)))) * * * * [misc]progress: [ 12 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 (+ 1 0) (+ 1 (+ N (sqr N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (sqr N) (+ 1 N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (sqr N) (+ 1 N)))) * * * * [misc]progress: [ 13 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N (sqr N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (log (+ (* N N) N)) * [exit]simplify: Simplified to (log (+ (* N N) N)) * * * * [misc]progress: [ 16 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ N (sqr N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (pow (exp N) (+ 1 N)) * [exit]simplify: Simplified to (pow (exp N) (+ 1 N)) * * * * [misc]progress: [ 17 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ N (sqr N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N N) N)) * [exit]simplify: Simplified to (cbrt (+ (* N N) N)) * * * * [misc]progress: [ 18 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ N (sqr N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (cube (+ (* N N) N)) * [exit]simplify: Simplified to (cube (+ (* N N) N)) * * * * [misc]progress: [ 19 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ N (sqr N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (sqrt (+ (* N N) N)) * [exit]simplify: Simplified to (sqrt (+ (* N N) N)) * * * * [misc]progress: [ 20 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow N 3) (pow (sqr N) 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (+ (* (cube N) (cube N)) (cube N)) * [exit]simplify: Simplified to (+ (* (cube N) (cube N)) (cube N)) * [enter]simplify: Simplifying (+ (sqr N) (- (sqr (sqr N)) (* N (sqr N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (* N N) (- (* N N) (- N 1))) * [exit]simplify: Simplified to (* (* N N) (- (* N N) (- N 1))) * * * * [misc]progress: [ 21 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr N) (sqr (sqr N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (- (* N N) (sqr (* N N))) * [exit]simplify: Simplified to (- (* N N) (sqr (* N N))) * [enter]simplify: Simplifying (- N (sqr N)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (- N (* N N)) * [exit]simplify: Simplified to (- N (* N N)) * * * * [misc]progress: [ 23 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (+ N 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ 1 N) * [exit]simplify: Simplified to (+ 1 N) * * * * [misc]progress: [ 24 / 24 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ (sqr N) (+ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (sqr N) (+ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (sqr N) (+ 1 N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ (sqr N) (+ 1 N))) into (atan2 1 (+ 1 (+ (sqr N) N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))) into (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (sqr N) (+ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (sqr N) (+ 1 N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ (sqr N) (+ 1 N))) into (atan2 1 (+ 1 (+ (sqr N) N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))) into (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))) into (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))) into (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ (sqr (/ 1 N)) (+ 1 (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (sqr (/ 1 N)) (+ 1 (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (sqr (/ 1 N)) (+ 1 (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ (sqr (/ 1 N)) (+ 1 (/ 1 N)))) into (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (sqr (/ 1 N)) (+ 1 (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (sqr (/ 1 N)) (+ 1 (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ (sqr (/ 1 N)) (+ 1 (/ 1 N)))) into (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ (sqr (/ 1 (- N))) (+ 1 (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (sqr (/ 1 (- N))) (+ 1 (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (sqr (/ 1 (- N))) (+ 1 (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ (sqr (/ 1 (- N))) (+ 1 (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (sqr (/ 1 (- N))) (+ 1 (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (sqr (/ 1 (- N))) (+ 1 (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ (sqr (/ 1 (- N))) (+ 1 (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (atan2 1 (+ (sqr N) (+ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (atan2 1 (+ (sqr N) (+ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (sqr N) (+ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (sqr N) (+ 1 N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ (sqr N) (+ 1 N))) into (atan2 1 (+ 1 (+ (sqr N) N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))) into (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (atan2 1 (+ (sqr N) (+ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (sqr N) (+ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (sqr N) (+ 1 N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ (sqr N) (+ 1 N))) into (atan2 1 (+ 1 (+ (sqr N) N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))) into (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))) (sqrt (atan2 1 (+ 1 (+ (sqr N) N))))) into (atan2 1 (+ 1 (+ (sqr N) N))) * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (sqr N) N))) into (atan2 1 (+ 1 (+ (sqr N) N))) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))) 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (sqr N) N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (sqr N) N))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (sqr N) N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (sqr N) N))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (sqr N) N))) into (atan2 1 (+ 1 (+ (sqr N) N))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (atan2 1 (+ (sqr (/ 1 N)) (+ 1 (/ 1 N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (atan2 1 (+ (sqr (/ 1 N)) (+ 1 (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (sqr (/ 1 N)) (+ 1 (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (sqr (/ 1 N)) (+ 1 (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ (sqr (/ 1 N)) (+ 1 (/ 1 N)))) into (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (atan2 1 (+ (sqr (/ 1 N)) (+ 1 (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (sqr (/ 1 N)) (+ 1 (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (sqr (/ 1 N)) (+ 1 (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ (sqr (/ 1 N)) (+ 1 (/ 1 N)))) into (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))) (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))))) into (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) into (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))) 0) (* 0 (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) into (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (atan2 1 (+ (sqr (/ 1 (- N))) (+ 1 (/ 1 (- N))))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (atan2 1 (+ (sqr (/ 1 (- N))) (+ 1 (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (sqr (/ 1 (- N))) (+ 1 (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (sqr (/ 1 (- N))) (+ 1 (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ (sqr (/ 1 (- N))) (+ 1 (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (atan2 1 (+ (sqr (/ 1 (- N))) (+ 1 (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (sqr (/ 1 (- N))) (+ 1 (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (sqr (/ 1 (- N))) (+ 1 (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ (sqr (/ 1 (- N))) (+ 1 (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))) (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))))) into (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))) 0) (* 0 (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (sqr N) (+ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (sqr N) (+ 1 N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ (sqr N) (+ 1 N))) into (atan2 1 (+ 1 (+ (sqr N) N))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (sqr N) (+ 1 N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ (sqr N) (+ 1 N))) into (atan2 1 (+ 1 (+ (sqr N) N))) * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (sqr N) N))) into (atan2 1 (+ 1 (+ (sqr N) N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (sqr N) N))) into (atan2 1 (+ 1 (+ (sqr N) N))) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (sqr (/ 1 N)) (+ 1 (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (sqr (/ 1 N)) (+ 1 (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ (sqr (/ 1 N)) (+ 1 (/ 1 N)))) into (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (sqr (/ 1 N)) (+ 1 (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ (sqr (/ 1 N)) (+ 1 (/ 1 N)))) into (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) into (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) into (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (sqr (/ 1 (- N))) (+ 1 (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (sqr (/ 1 (- N))) (+ 1 (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ (sqr (/ 1 (- N))) (+ 1 (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (sqr (/ 1 (- N))) (+ 1 (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ (sqr (/ 1 (- N))) (+ 1 (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (+ (sqr N) (+ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqr N) (+ 1 N)) in N * [misc]taylor: Taking taylor expansion of (sqr N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (sqr N) (+ 1 N)) in N * [misc]taylor: Taking taylor expansion of (sqr N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (sqr N)) (+ (* 1 N) 1)) into (+ 1 (+ (sqr N) N)) * [misc]approximate: Taking taylor expansion of (+ (sqr (/ 1 N)) (+ 1 (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 N)) (+ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (sqr (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 N)) (+ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (sqr (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (sqr (/ 1 (/ 1 N)))))) into (+ 1 (+ (sqr N) N)) * [misc]approximate: Taking taylor expansion of (+ (sqr (/ 1 (- N))) (+ 1 (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 (- N))) (+ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 (- N))) (+ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (sqr (/ 1 (/ 1 (- N))))))) into (+ 1 (+ (sqr N) N)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (+ 1 (+ (sqr N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (sqr N))) * * * * [misc]progress: [ 2 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ (/ 1 N) 1) (/ 1 (sqr N)))) * * * * [misc]progress: [ 3 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (/ (/ 1 N) N) (- 1 (/ 1 N)))) * * * * [misc]progress: [ 4 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (+ (sqr N) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (sqr N))) * * * * [misc]progress: [ 5 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ (/ 1 N) 1) (/ 1 (sqr N)))) * * * * [misc]progress: [ 6 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (- 1 (/ 1 N)) (/ (/ 1 N) N))) * * * * [misc]progress: [ 7 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (+ 1 (+ (sqr N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (sqr N))) * * * * [misc]progress: [ 8 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ (/ 1 N) 1) (/ 1 (sqr N)))) * * * * [misc]progress: [ 9 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (/ (/ 1 N) N) (- 1 (/ 1 N)))) * * * * [misc]progress: [ 10 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (+ 1 (+ (sqr N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (sqr N))) * * * * [misc]progress: [ 11 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (+ 1 (+ (sqr N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (sqr N))) * * * * [misc]progress: [ 12 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (+ 1 (+ (sqr N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (sqr N))) * * * * [misc]progress: [ 13 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (atan2 1 (+ (sqr N) (+ 1 N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (+ (+ N 1) (sqr N))))) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (+ (+ N 1) (sqr N))))) * * * * [misc]progress: [ 16 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (atan2 1 (+ (sqr N) (+ 1 N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (+ (+ N 1) (sqr N))))) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (+ (+ N 1) (sqr N))))) * * * * [misc]progress: [ 17 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (atan2 1 (+ (sqr N) (+ 1 N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (+ N 1) (sqr N))))) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (+ N 1) (sqr N))))) * * * * [misc]progress: [ 18 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (atan2 1 (+ (sqr N) (+ 1 N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (atan2 1 (+ (+ N 1) (sqr N))) (sqrt (atan2 1 (+ (+ N 1) (sqr N))))) * [exit]simplify: Simplified to (* (atan2 1 (+ (+ N 1) (sqr N))) (sqrt (atan2 1 (+ (+ N 1) (sqr N))))) * * * * [misc]progress: [ 19 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (atan2 1 (+ (sqr N) (+ 1 N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (sqr N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (sqr N)))) * * * * [misc]progress: [ 20 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ (sqr N) (+ 1 N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N 1) (sqr N))))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N 1) (sqr N))))) * * * * [misc]progress: [ 21 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sqrt (atan2 1 (+ (sqr N) (+ 1 N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (log (atan2 1 (+ (+ N 1) (sqr N)))) * [exit]simplify: Simplified to (log (atan2 1 (+ (+ N 1) (sqr N)))) * * * * [misc]progress: [ 26 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sqrt (atan2 1 (+ (sqr N) (+ 1 N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (exp (atan2 1 (+ (+ N 1) (sqr N)))) * [exit]simplify: Simplified to (exp (atan2 1 (+ (+ N 1) (sqr N)))) * * * * [misc]progress: [ 27 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sqrt (atan2 1 (+ (sqr N) (+ 1 N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (+ N 1) (sqr N)))) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (+ N 1) (sqr N)))) * * * * [misc]progress: [ 28 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (sqrt (atan2 1 (+ (sqr N) (+ 1 N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (cube (atan2 1 (+ (+ N 1) (sqr N)))) * [exit]simplify: Simplified to (cube (atan2 1 (+ (+ N 1) (sqr N)))) * * * * [misc]progress: [ 29 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sqrt (atan2 1 (+ (sqr N) (+ 1 N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (sqr N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (sqr N)))) * * * * [misc]progress: [ 30 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (+ (sqr N) (+ 1 N))))) * * [misc]simplify: iters left: 6 (8 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 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (sqr N))) * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (sqr N))) * * * * [misc]progress: [ 31 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* 1 1) * [exit]simplify: Simplified to (* 1 1) * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (+ (sqr N) (+ 1 N))))) * * [misc]simplify: iters left: 6 (8 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 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (sqr N))) * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (sqr N))) * * * * [misc]progress: [ 32 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 1 (+ (sqr N) (+ 1 N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (log (atan2 1 (+ (+ N 1) (sqr N)))) * [exit]simplify: Simplified to (log (atan2 1 (+ (+ N 1) (sqr N)))) * * * * [misc]progress: [ 36 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 1 (+ (sqr N) (+ 1 N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (exp (atan2 1 (+ (+ N 1) (sqr N)))) * [exit]simplify: Simplified to (exp (atan2 1 (+ (+ N 1) (sqr N)))) * * * * [misc]progress: [ 37 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan2 1 (+ (sqr N) (+ 1 N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (+ N 1) (sqr N)))) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (+ N 1) (sqr N)))) * * * * [misc]progress: [ 38 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (atan2 1 (+ (sqr N) (+ 1 N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (cube (atan2 1 (+ (+ N 1) (sqr N)))) * [exit]simplify: Simplified to (cube (atan2 1 (+ (+ N 1) (sqr N)))) * * * * [misc]progress: [ 39 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 1 (+ (sqr N) (+ 1 N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (sqr N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (sqr N)))) * * * * [misc]progress: [ 40 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (sqr N)) (exp (+ 1 N))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (exp (+ (* N N) (+ N 1))) * [exit]simplify: Simplified to (exp (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 42 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (sqr N) (+ 1 N))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (log (+ (+ N 1) (* N N))) * [exit]simplify: Simplified to (log (+ (+ N 1) (* N N))) * * * * [misc]progress: [ 44 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (sqr N) (+ 1 N))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (exp (+ (+ N 1) (* N N))) * [exit]simplify: Simplified to (exp (+ (+ N 1) (* N N))) * * * * [misc]progress: [ 45 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (sqr N) (+ 1 N))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (cbrt (+ (+ N 1) (* N N))) * [exit]simplify: Simplified to (cbrt (+ (+ N 1) (* N N))) * * * * [misc]progress: [ 46 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (sqr N) (+ 1 N))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (cube (+ (+ N 1) (* N N))) * [exit]simplify: Simplified to (cube (+ (+ N 1) (* N N))) * * * * [misc]progress: [ 47 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (sqr N) (+ 1 N))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ N 1) (* N N))) * [exit]simplify: Simplified to (sqrt (+ (+ N 1) (* N N))) * * * * [misc]progress: [ 48 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqr N) 3) (pow (+ 1 N) 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (+ (cube (+ 1 N)) (cube (* N N))) * [exit]simplify: Simplified to (+ (cube (+ 1 N)) (cube (* N N))) * [enter]simplify: Simplifying (+ (sqr (sqr N)) (- (sqr (+ 1 N)) (* (sqr N) (+ 1 N)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (+ N 1)) (* (* N N) (- (+ N 1) (* N N)))) * [exit]simplify: Simplified to (- (* (+ N 1) (+ N 1)) (* (* N N) (- (+ N 1) (* N N)))) * * * * [misc]progress: [ 49 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (sqr N)) (sqr (+ 1 N))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (- (* N N) (+ N 1)) (+ (* N N) (+ N 1))) * [exit]simplify: Simplified to (* (- (* N N) (+ N 1)) (+ (* N N) (+ N 1))) * [enter]simplify: Simplifying (- (sqr N) (+ 1 N)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (- (* N N) (+ N 1)) * [exit]simplify: Simplified to (- (* N N) (+ N 1)) * * * * [misc]progress: [ 51 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqr N) (+ 1 N)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (+ (+ N 1) (* N N)) * [exit]simplify: Simplified to (+ (+ N 1) (* N N)) * * * * [misc]progress: [ 52 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqr N) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (+ (* N N) 1) * [exit]simplify: Simplified to (+ (* N N) 1) * * * * [misc]progress: [ 53 / 53 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 N +inf.0)) , with alts (#) * [enter]simplify: Simplifying (cube (+ N (sqr N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (cube (+ (* N N) N)) * [exit]simplify: Simplified to (cube (+ (* N N) N)) * [enter]simplify: Simplifying (atan2 1 (+ (sqr N) (+ 1 N))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (sqr N))) * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (sqr N))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ (sqr N) (+ 1 N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N 1) (sqr N))))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (+ N 1) (sqr N))))) * [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 (atan2 1 (+ (+ 1 N) (sqr N))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (sqr N) (+ N 1))) * [exit]simplify: Simplified to (atan2 1 (+ (sqr N) (+ N 1))) * [enter]simplify: Simplifying (+ N (sqr N)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (+ (* N N) N) * [exit]simplify: Simplified to (+ (* N N) N)