* [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 (+ N 1)) (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 / 1 ] 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: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 17 ] 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 (+ 1 N)) (atan N)) * * * * [misc]progress: [ 2 / 17 ] 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 N) 1)) (atan (/ 1 N))) * * * * [misc]progress: [ 3 / 17 ] 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 / 17 ] 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 (+ (+ (sqr N) N) 1) * [exit]simplify: Simplified to (+ (+ (sqr N) N) 1) * * * * [misc]progress: [ 5 / 17 ] 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 (+ N 1)) (atan N))) * [exit]simplify: Simplified to (exp (- (atan (+ N 1)) (atan N))) * * * * [misc]progress: [ 6 / 17 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 17 ] 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 (+ N 1)) (atan N))) * [exit]simplify: Simplified to (log (- (atan (+ N 1)) (atan N))) * * * * [misc]progress: [ 8 / 17 ] 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 (+ N 1)) (atan N))) * [exit]simplify: Simplified to (exp (- (atan (+ N 1)) (atan N))) * * * * [misc]progress: [ 9 / 17 ] 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 (+ N 1)) (atan N))) * [exit]simplify: Simplified to (cbrt (- (atan (+ N 1)) (atan N))) * * * * [misc]progress: [ 10 / 17 ] 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 (+ N 1)) (atan N))) * [exit]simplify: Simplified to (cube (- (atan (+ N 1)) (atan N))) * * * * [misc]progress: [ 11 / 17 ] 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 (+ N 1)) (atan N))) * [exit]simplify: Simplified to (sqrt (- (atan (+ N 1)) (atan N))) * * * * [misc]progress: [ 12 / 17 ] 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: [ 13 / 17 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 17 ] 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 (+ N 1))) (cube (atan N))) * [exit]simplify: Simplified to (- (cube (atan (+ N 1))) (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 (33 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (+ (* (atan N) (+ (atan N) (atan (+ N 1)))) (* (atan (+ N 1)) (atan (+ N 1)))) * [exit]simplify: Simplified to (+ (* (atan N) (+ (atan N) (atan (+ N 1)))) (* (atan (+ N 1)) (atan (+ N 1)))) * * * * [misc]progress: [ 15 / 17 ] 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 N) (atan (+ N 1))) (- (atan (+ N 1)) (atan N))) * [exit]simplify: Simplified to (* (+ (atan N) (atan (+ N 1))) (- (atan (+ N 1)) (atan N))) * [enter]simplify: Simplifying (+ (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ (atan N) (atan (+ N 1))) * [exit]simplify: Simplified to (+ (atan N) (atan (+ N 1))) * * * * [misc]progress: [ 16 / 17 ] 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 N)) (sqrt (atan (+ N 1)))) * [exit]simplify: Simplified to (+ (sqrt (atan N)) (sqrt (atan (+ N 1)))) * [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 (+ N 1))) (sqrt (atan N))) * [exit]simplify: Simplified to (- (sqrt (atan (+ N 1))) (sqrt (atan N))) * * * * [misc]progress: [ 17 / 17 ] 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 (+ N 1)) (atan N)) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * [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 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (atan2 (+ 1 0) (+ (+ (sqr N) N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ (+ (sqr N) N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ (+ (sqr N) N) 1)) into (atan2 1 (+ (sqr N) (+ 1 N))) * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ (+ (sqr N) N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ (+ (sqr N) N) 1)) into (atan2 1 (+ (sqr N) (+ 1 N))) * [misc]backup-simplify: Simplify (atan2 1 (+ (sqr N) (+ 1 N))) into (atan2 1 (+ (sqr N) (+ 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 (+ (sqr N) (+ 1 N))) into (atan2 1 (+ (sqr N) (+ 1 N))) * [misc]approximate: Taking taylor expansion of (atan2 (+ 1 0) (+ (+ (sqr (/ 1 N)) (/ 1 N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ (+ (sqr (/ 1 N)) (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ (+ (sqr (/ 1 N)) (/ 1 N)) 1)) into (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ (+ (sqr (/ 1 N)) (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ (+ (sqr (/ 1 N)) (/ 1 N)) 1)) 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) (+ (+ (sqr (/ 1 (- N))) (/ 1 (- N))) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ (+ (sqr (/ 1 (- N))) (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ (+ (sqr (/ 1 (- N))) (/ 1 (- N))) 1)) into (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ (+ (sqr (/ 1 (- N))) (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ (+ (sqr (/ 1 (- N))) (/ 1 (- N))) 1)) 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 / 3 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (+ (sqr N) N) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqr N) 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 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) 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 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 (+ 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 (+ 1 0) 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 (+ (sqr (/ 1 N)) (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 N)) (/ 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 N) in N * [misc]taylor: Taking taylor 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 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 N) in N * [misc]taylor: Taking taylor 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 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 (+ 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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (+ (sqr (/ 1 (- N))) (/ 1 (- N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 (- N))) (/ 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 (- 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 (- 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 (- 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 -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 (+ 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 (+ (* -1 0) (+ (* 0 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (sqr (/ 1 (/ 1 (- N)))))) into (+ (sqr N) N) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (+ (+ (sqr N) N) 1) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (+ (sqr N) N) 1) in N * [misc]taylor: Taking taylor expansion of (+ (sqr N) 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 N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (sqr N) N) 1) in N * [misc]taylor: Taking taylor expansion of (+ (sqr N) 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 N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [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 (+ 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 (+ 1 0) into 1 * [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 (+ (sqr N) (+ 1 N)) * [misc]approximate: Taking taylor expansion of (+ (+ (sqr (/ 1 N)) (/ 1 N)) 1) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (+ (sqr (/ 1 N)) (/ 1 N)) 1) in N * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 N)) (/ 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 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (sqr (/ 1 N)) (/ 1 N)) 1) in N * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 N)) (/ 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 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [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 (+ (sqr N) (+ 1 N)) * [misc]approximate: Taking taylor expansion of (+ (+ (sqr (/ 1 (- N))) (/ 1 (- N))) 1) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (+ (sqr (/ 1 (- N))) (/ 1 (- N))) 1) in N * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 (- N))) (/ 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 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (sqr (/ 1 (- N))) (/ 1 (- N))) 1) in N * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 (- N))) (/ 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 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 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 (+ -1 0) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -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 (+ 0 0) into 0 * [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 (+ (sqr N) (+ 1 N)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 38 ] simplifiying candidate # * [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 (20 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (sqr N) (+ 1 N))) * * * * [misc]progress: [ 2 / 38 ] 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 (/ 1 N)) (/ (/ 1 N) N))) * * * * [misc]progress: [ 3 / 38 ] 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 (sqr N)))) * * * * [misc]progress: [ 4 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ (+ (sqr N) N) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 5 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ (+ (sqr N) N) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 6 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ (+ (sqr N) N) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 7 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ (sqr N) (+ 1 N))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (* N N))) * * * * [misc]progress: [ 8 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ (sqr N) (+ 1 N))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (* N N))) * * * * [misc]progress: [ 9 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ (sqr N) (+ 1 N))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (* N N))) * * * * [misc]progress: [ 10 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 (+ 1 0) (+ (+ (sqr N) N) 1))) * * [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 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (log (atan2 1 (+ (* N N) (+ N 1)))) * [exit]simplify: Simplified to (log (atan2 1 (+ (* N N) (+ N 1)))) * * * * [misc]progress: [ 12 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 (+ 1 0) (+ (+ (sqr N) N) 1))) * * [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 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (exp (atan2 1 (+ (* N N) (+ N 1)))) * [exit]simplify: Simplified to (exp (atan2 1 (+ (* N N) (+ N 1)))) * * * * [misc]progress: [ 13 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan2 (+ 1 0) (+ (+ (sqr N) N) 1))) * * [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 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (* N N) (+ N 1)))) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (* N N) (+ N 1)))) * * * * [misc]progress: [ 14 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (atan2 (+ 1 0) (+ (+ (sqr N) N) 1))) * * [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 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (cube (atan2 1 (+ (* N N) (+ N 1)))) * [exit]simplify: Simplified to (cube (atan2 1 (+ (* N N) (+ N 1)))) * * * * [misc]progress: [ 15 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 (+ 1 0) (+ (+ (sqr N) N) 1))) * * [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 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (* N N) (+ N 1)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (* N N) (+ N 1)))) * * * * [misc]progress: [ 16 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (sqr N) 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: [ 19 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (sqr N) 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) (+ N 1)) * [exit]simplify: Simplified to (pow (exp N) (+ N 1)) * * * * [misc]progress: [ 20 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (sqr N) 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: [ 21 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (sqr N) 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: [ 22 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (sqr N) 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: [ 23 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sqr N) 3) (pow N 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (- (cube (* N N)) (cube N)) * [exit]simplify: Simplified to (- (cube (* N N)) (cube N)) * [enter]simplify: Simplifying (+ (sqr (sqr N)) (- (sqr N) (* (sqr N) 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 (37 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (* (+ (* N N) (- 1 N)) (* N N)) * [exit]simplify: Simplified to (* (+ (* N N) (- 1 N)) (* N N)) * * * * [misc]progress: [ 25 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (sqr N)) (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 (- (sqr (* N N)) (* N N)) * [exit]simplify: Simplified to (- (sqr (* N N)) (* N N)) * [enter]simplify: Simplifying (- (sqr N) 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: [ 26 / 38 ] 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 (+ N 1) * [exit]simplify: Simplified to (+ N 1) * * * * [misc]progress: [ 27 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (+ (sqr N) N) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (log (+ (+ 1 N) (* N N))) * [exit]simplify: Simplified to (log (+ (+ 1 N) (* N N))) * * * * [misc]progress: [ 30 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (+ (sqr N) N) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (exp (+ (+ 1 N) (* N N))) * [exit]simplify: Simplified to (exp (+ (+ 1 N) (* N N))) * * * * [misc]progress: [ 31 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (+ (sqr N) N) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cbrt (+ (+ 1 N) (* N N))) * [exit]simplify: Simplified to (cbrt (+ (+ 1 N) (* N N))) * * * * [misc]progress: [ 32 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (+ (sqr N) N) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (cube (+ (* N N) (+ 1 N))) * [exit]simplify: Simplified to (cube (+ (* N N) (+ 1 N))) * * * * [misc]progress: [ 33 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (+ (sqr N) N) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ 1 N) (* N N))) * [exit]simplify: Simplified to (sqrt (+ (+ 1 N) (* N N))) * * * * [misc]progress: [ 34 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (+ (sqr N) N) 3) (pow 1 3)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (- (cube (+ N (* N N))) 1) * [exit]simplify: Simplified to (- (cube (+ N (* N N))) 1) * [enter]simplify: Simplifying (+ (sqr (+ (sqr N) N)) (- (sqr 1) (* (+ (sqr N) N) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (+ (sqr (+ N (* N N))) (- (- 1 N) (* N N))) * [exit]simplify: Simplified to (+ (sqr (+ N (* N N))) (- (- 1 N) (* N N))) * * * * [misc]progress: [ 36 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (+ (sqr N) N)) (sqr 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (225 enodes) * * [misc]simplify: iters left: 1 (389 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) N) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (* N N) (- 1 N)) * [exit]simplify: Simplified to (- (* N N) (- 1 N)) * * * * [misc]progress: [ 37 / 38 ] 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 (+ N 1) * [exit]simplify: Simplified to (+ N 1) * * * * [misc]progress: [ 38 / 38 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ (sqr N) N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (sqr N) N)) in N * [misc]backup-simplify: Simplify (cbrt (+ (sqr N) N)) into (cbrt (+ (sqr N) N)) * [misc]taylor: Taking taylor expansion of (cbrt (+ (sqr N) N)) in N * [misc]backup-simplify: Simplify (cbrt (+ (sqr N) N)) into (cbrt (+ (sqr N) N)) * [misc]backup-simplify: Simplify (cbrt (+ (sqr N) N)) into (cbrt (+ (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 (cbrt (+ (sqr N) N)) into (cbrt (+ (sqr N) N)) * [misc]approximate: Taking taylor expansion of (cbrt (+ (sqr (/ 1 N)) (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (sqr (/ 1 N)) (/ 1 N))) in N * [misc]backup-simplify: Simplify (cbrt (+ (sqr (/ 1 N)) (/ 1 N))) into (cbrt (+ (/ 1 (sqr N)) (/ 1 N))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (sqr (/ 1 N)) (/ 1 N))) in N * [misc]backup-simplify: Simplify (cbrt (+ (sqr (/ 1 N)) (/ 1 N))) into (cbrt (+ (/ 1 (sqr N)) (/ 1 N))) * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 (sqr N)) (/ 1 N))) into (cbrt (+ (/ 1 (sqr N)) (/ 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 (cbrt (+ (/ 1 (sqr N)) (/ 1 N))) into (cbrt (+ (/ 1 (sqr N)) (/ 1 N))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (sqr (/ 1 (- N))) (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (sqr (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]backup-simplify: Simplify (cbrt (+ (sqr (/ 1 (- N))) (/ 1 (- N)))) into (cbrt (- (/ 1 (sqr N)) (/ 1 N))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (sqr (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]backup-simplify: Simplify (cbrt (+ (sqr (/ 1 (- N))) (/ 1 (- N)))) into (cbrt (- (/ 1 (sqr N)) (/ 1 N))) * [misc]backup-simplify: Simplify (cbrt (- (/ 1 (sqr N)) (/ 1 N))) into (cbrt (- (/ 1 (sqr N)) (/ 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 (cbrt (- (/ 1 (sqr N)) (/ 1 N))) into (cbrt (- (/ 1 (sqr N)) (/ 1 N))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (cube (cbrt (+ (sqr N) N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (sqr N) N))) in N * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr N) N))) into (+ (sqr N) N) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (sqr N) N))) in N * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr N) N))) into (+ (sqr N) N) * [misc]backup-simplify: Simplify (+ (sqr N) N) into (+ (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 (+ (sqr N) N) into (+ (sqr N) N) * [misc]approximate: Taking taylor expansion of (cube (cbrt (+ (sqr (/ 1 N)) (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (sqr (/ 1 N)) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr (/ 1 N)) (/ 1 N)))) into (+ (/ 1 (sqr N)) (/ 1 N)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (sqr (/ 1 N)) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr (/ 1 N)) (/ 1 N)))) into (+ (/ 1 (sqr N)) (/ 1 N)) * [misc]backup-simplify: Simplify (+ (/ 1 (sqr N)) (/ 1 N)) into (+ (/ 1 (sqr N)) (/ 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 (+ (/ 1 (sqr N)) (/ 1 N)) into (+ (/ 1 (sqr N)) (/ 1 N)) * [misc]approximate: Taking taylor expansion of (cube (cbrt (+ (sqr (/ 1 (- N))) (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (sqr (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr (/ 1 (- N))) (/ 1 (- N))))) into (- (/ 1 (sqr N)) (/ 1 N)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (+ (sqr (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (+ (sqr (/ 1 (- N))) (/ 1 (- N))))) into (- (/ 1 (sqr N)) (/ 1 N)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr N)) (/ 1 N)) into (- (/ 1 (sqr N)) (/ 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 (- (/ 1 (sqr N)) (/ 1 N)) into (- (/ 1 (sqr N)) (/ 1 N)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (atan2 (+ 1 0) (+ (cube (cbrt (+ (sqr N) N))) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ (cube (cbrt (+ (sqr N) N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ (cube (cbrt (+ (sqr N) N))) 1)) into (atan2 1 (+ (sqr N) (+ 1 N))) * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ (cube (cbrt (+ (sqr N) N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ (cube (cbrt (+ (sqr N) N))) 1)) into (atan2 1 (+ (sqr N) (+ 1 N))) * [misc]backup-simplify: Simplify (atan2 1 (+ (sqr N) (+ 1 N))) into (atan2 1 (+ (sqr N) (+ 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 (+ (sqr N) (+ 1 N))) into (atan2 1 (+ (sqr N) (+ 1 N))) * [misc]approximate: Taking taylor expansion of (atan2 (+ 1 0) (+ (cube (cbrt (+ (sqr (/ 1 N)) (/ 1 N)))) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ (cube (cbrt (+ (sqr (/ 1 N)) (/ 1 N)))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ (cube (cbrt (+ (sqr (/ 1 N)) (/ 1 N)))) 1)) into (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ (cube (cbrt (+ (sqr (/ 1 N)) (/ 1 N)))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ (cube (cbrt (+ (sqr (/ 1 N)) (/ 1 N)))) 1)) 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) (+ (cube (cbrt (+ (sqr (/ 1 (- N))) (/ 1 (- N))))) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ (cube (cbrt (+ (sqr (/ 1 (- N))) (/ 1 (- N))))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ (cube (cbrt (+ (sqr (/ 1 (- N))) (/ 1 (- N))))) 1)) into (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ (cube (cbrt (+ (sqr (/ 1 (- N))) (/ 1 (- N))))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ (cube (cbrt (+ (sqr (/ 1 (- N))) (/ 1 (- N))))) 1)) into (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (+ (sqr N) N) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqr N) 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 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) 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 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 (+ 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 (+ 1 0) 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 (+ (sqr (/ 1 N)) (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 N)) (/ 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 N) in N * [misc]taylor: Taking taylor 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 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 N) in N * [misc]taylor: Taking taylor 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 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 (+ 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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (+ (sqr (/ 1 (- N))) (/ 1 (- N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqr (/ 1 (- N))) (/ 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 (- 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 (- 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 (- 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 -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 (+ 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 (+ (* -1 0) (+ (* 0 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (sqr (/ 1 (/ 1 (- N)))))) into (+ (sqr N) N) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ (cube (cbrt (+ (sqr N) N))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 2 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ (cube (cbrt (+ (/ 1 (sqr N)) (/ 1 N)))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (/ 1 (* N N)) (+ 1 (/ 1 N)))) * * * * [misc]progress: [ 3 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ (cube (cbrt (- (/ 1 (sqr N)) (/ 1 N)))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (atan2 1 (- (/ 1 (* N N)) (- (/ 1 N) 1))) * * * * [misc]progress: [ 4 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ (+ (sqr N) N) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 5 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ (+ (/ 1 (sqr N)) (/ 1 N)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (/ 1 (* N N)) (+ 1 (/ 1 N)))) * * * * [misc]progress: [ 6 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ (- (/ 1 (sqr N)) (/ 1 N)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (atan2 1 (- (/ 1 (* N N)) (- (/ 1 N) 1))) * * * * [misc]progress: [ 7 / 56 ] simplifiying candidate # * [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 (20 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (sqr N) (+ 1 N))) * * * * [misc]progress: [ 8 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ (/ 1 (sqr N)) (+ 1 (/ 1 N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 (/ 1 N)) (/ (/ 1 N) N))) * * * * [misc]progress: [ 9 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (- (+ (/ 1 (sqr N)) 1) (/ 1 N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (- 1 (/ 1 N)) (/ 1 (sqr N)))) * * * * [misc]progress: [ 10 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ (cube (cbrt (+ (sqr N) N))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 11 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ (cube (cbrt (+ (sqr N) N))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 12 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ (cube (cbrt (+ (sqr N) N))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 13 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ (sqr N) N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (log (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (log (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 16 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ (sqr N) N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (exp (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 17 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (+ (sqr N) N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (cbrt (+ N (* N N))) * [exit]simplify: Simplified to (cbrt (+ N (* N N))) * * * * [misc]progress: [ 18 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ N 1)) * [exit]simplify: Simplified to (cbrt (+ N 1)) * [enter]simplify: Simplifying (cbrt N) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt N) * [exit]simplify: Simplified to (cbrt N) * * * * [misc]progress: [ 19 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow (sqr N) 3) (pow N 3))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (cbrt (- (cube (* N N)) (cube N))) * [exit]simplify: Simplified to (cbrt (- (cube (* N N)) (cube N))) * [enter]simplify: Simplifying (cbrt (+ (sqr (sqr N)) (- (sqr N) (* (sqr N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (cbrt (* (* N N) (- (* N N) (- N 1)))) * [exit]simplify: Simplified to (cbrt (* (* N N) (- (* N N) (- N 1)))) * * * * [misc]progress: [ 20 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqr (sqr N)) (sqr N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (cbrt (- (sqr (* N N)) (* N N))) * [exit]simplify: Simplified to (cbrt (- (sqr (* N N)) (* N N))) * [enter]simplify: Simplifying (cbrt (- (sqr N) N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (cbrt (- (* N N) N)) * [exit]simplify: Simplified to (cbrt (- (* N N) N)) * * * * [misc]progress: [ 21 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ (sqr N) N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 22 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (+ (sqr N) N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (+ N (* N N)) * [exit]simplify: Simplified to (+ N (* N N)) * * * * [misc]progress: [ 23 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ (sqr N) N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 24 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (cbrt (+ (sqr N) N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (log (+ N (* N N))) * [exit]simplify: Simplified to (log (+ N (* N N))) * * * * [misc]progress: [ 28 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (cbrt (+ (sqr N) N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (pow (exp N) (+ N 1)) * [exit]simplify: Simplified to (pow (exp N) (+ N 1)) * * * * [misc]progress: [ 29 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (cbrt (+ (sqr N) N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N N) N)) * [exit]simplify: Simplified to (cbrt (+ (* N N) N)) * * * * [misc]progress: [ 30 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (cbrt (+ (sqr N) N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (283 enodes) * [exit]simplify: Simplified to (cube (+ N (* N N))) * [exit]simplify: Simplified to (cube (+ N (* N N))) * * * * [misc]progress: [ 31 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (cbrt (+ (sqr N) N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (+ N (* N N)) * [exit]simplify: Simplified to (+ N (* N N)) * * * * [misc]progress: [ 32 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (+ N 1) * [exit]simplify: Simplified to (+ N 1) * [enter]simplify: Simplifying (cube (cbrt N)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to N * [exit]simplify: Simplified to N * * * * [misc]progress: [ 33 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cube 1) * [exit]simplify: Simplified to (cube 1) * [enter]simplify: Simplifying (cube (cbrt (+ (sqr N) N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (+ N (* N N)) * [exit]simplify: Simplified to (+ N (* N N)) * * * * [misc]progress: [ 34 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (pow (sqr N) 3) (pow N 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (- (cube (* N N)) (cube N)) * [exit]simplify: Simplified to (- (cube (* N N)) (cube N)) * [enter]simplify: Simplifying (cube (cbrt (+ (sqr (sqr N)) (- (sqr N) (* (sqr N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (* (+ (- 1 N) (* N N)) (* N N)) * [exit]simplify: Simplified to (* (+ (- 1 N) (* N N)) (* N N)) * * * * [misc]progress: [ 35 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (sqr (sqr N)) (sqr N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (- (sqr (* N N)) (* N N)) * [exit]simplify: Simplified to (- (sqr (* N N)) (* N N)) * [enter]simplify: Simplifying (cube (cbrt (- (sqr N) N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- (* N N) N) * [exit]simplify: Simplified to (- (* N N) N) * * * * [misc]progress: [ 36 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (sqr N) N)) (cbrt (+ (sqr N) N))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 37 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (cbrt (+ (sqr N) N)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (sqrt (+ N (* N N))) * [exit]simplify: Simplified to (sqrt (+ N (* N N))) * * * * [misc]progress: [ 38 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 (+ 1 0) (+ (cube (cbrt (+ (sqr N) N))) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (log (atan2 1 (+ (* N N) (+ N 1)))) * [exit]simplify: Simplified to (log (atan2 1 (+ (* N N) (+ N 1)))) * * * * [misc]progress: [ 41 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 (+ 1 0) (+ (cube (cbrt (+ (sqr N) N))) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (exp (atan2 1 (+ (* N N) (+ N 1)))) * [exit]simplify: Simplified to (exp (atan2 1 (+ (* N N) (+ N 1)))) * * * * [misc]progress: [ 42 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan2 (+ 1 0) (+ (cube (cbrt (+ (sqr N) N))) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (* N N) (+ N 1)))) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (* N N) (+ N 1)))) * * * * [misc]progress: [ 43 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (atan2 (+ 1 0) (+ (cube (cbrt (+ (sqr N) N))) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (cube (atan2 1 (+ (+ N 1) (* N N)))) * [exit]simplify: Simplified to (cube (atan2 1 (+ (+ N 1) (* N N)))) * * * * [misc]progress: [ 44 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 (+ 1 0) (+ (cube (cbrt (+ (sqr N) N))) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (* N N) (+ N 1)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (* N N) (+ N 1)))) * * * * [misc]progress: [ 45 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (sqr N) N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (log (+ N (* N N))) * [exit]simplify: Simplified to (log (+ N (* N N))) * * * * [misc]progress: [ 48 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (sqr N) 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) (+ N 1)) * [exit]simplify: Simplified to (pow (exp N) (+ N 1)) * * * * [misc]progress: [ 49 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (sqr N) N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (cbrt (+ N (* N N))) * [exit]simplify: Simplified to (cbrt (+ N (* N N))) * * * * [misc]progress: [ 50 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (sqr N) N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (cube (+ N (* N N))) * [exit]simplify: Simplified to (cube (+ N (* N N))) * * * * [misc]progress: [ 51 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (sqr N) N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (sqrt (+ N (* N N))) * [exit]simplify: Simplified to (sqrt (+ N (* N N))) * * * * [misc]progress: [ 52 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sqr N) 3) (pow N 3)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (- (cube (* N N)) (cube N)) * [exit]simplify: Simplified to (- (cube (* N N)) (cube N)) * [enter]simplify: Simplifying (+ (sqr (sqr N)) (- (sqr N) (* (sqr N) 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 (37 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (* (+ (* N N) (- 1 N)) (* N N)) * [exit]simplify: Simplified to (* (+ (* N N) (- 1 N)) (* N N)) * * * * [misc]progress: [ 54 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (sqr N)) (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 (- (sqr (* N N)) (* N N)) * [exit]simplify: Simplified to (- (sqr (* N N)) (* N N)) * [enter]simplify: Simplifying (- (sqr N) N) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (- (* N N) N) * [exit]simplify: Simplified to (- (* N N) N) * * * * [misc]progress: [ 55 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ N 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ N 1) * [exit]simplify: Simplified to (+ N 1) * * * * [misc]progress: [ 56 / 56 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 N +inf.0)) , with alts (#) * [enter]simplify: Simplifying (cbrt (+ (sqr N) N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (cbrt (+ N (* N N))) * [exit]simplify: Simplified to (cbrt (+ N (* N N))) * [enter]simplify: Simplifying (atan2 1 (+ (* N N) (+ N 1))) * * [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 (27 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (sqr N) (+ 1 N))) * [exit]simplify: Simplified to (atan2 1 (+ (sqr N) (+ 1 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 (+ N 1)) (atan N)) * [enter]simplify: Simplifying (+ (sqr N) 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)) * [enter]simplify: Simplifying (atan2 1 (+ (* N N) (+ N 1))) * * [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 (27 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (sqr N) (+ 1 N))) * [exit]simplify: Simplified to (atan2 1 (+ (sqr N) (+ 1 N)))