1545295086.591 * [misc]progress: [Phase 1 of 3] Setting up. 1545295086.591 * * * [misc]progress: [1/2] Preparing points 1545295086.591 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1545295086.654 * * * * [misc]points: Filtering points with unrepresentable outputs 1545295086.654 * * * * [exit]points: Sampled 256 points with exact outputs 1545295086.654 * * * [misc]progress: [2/2] Setting up program. 1545295086.657 * [misc]progress: [Phase 2 of 3] Improving. 1545295086.657 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1545295086.657 * * [misc]simplify: iters left: 5 (6 enodes) 1545295086.658 * * [misc]simplify: iters left: 4 (11 enodes) 1545295086.659 * * [misc]simplify: iters left: 3 (12 enodes) 1545295086.661 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1545295086.666 * * [misc]progress: iteration 1 / 4 1545295086.666 * * * [misc]progress: picking best candidate 1545295086.669 * * * * [misc]pick: Picked # 1545295086.669 * * * [misc]progress: localizing error 1545295086.681 * * * [misc]progress: generating rewritten candidates 1545295086.681 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) 1545295086.689 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) 1545295086.690 * * * [misc]progress: generating series expansions 1545295086.690 * * * * [misc]progress: [ 1 / 2 ] generating series at (2) 1545295086.690 * [misc]backup-simplify: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 1545295086.690 * [misc]approximate: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 1545295086.690 * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 1545295086.690 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N 1545295086.690 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1545295086.690 * [misc]taylor: Taking taylor expansion of (atan N) in N 1545295086.690 * [misc]backup-simplify: Simplify (atan N) into (atan N) 1545295086.690 * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 1545295086.690 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N 1545295086.690 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1545295086.690 * [misc]taylor: Taking taylor expansion of (atan N) in N 1545295086.690 * [misc]backup-simplify: Simplify (atan N) into (atan N) 1545295086.690 * [misc]backup-simplify: Simplify (- (atan N)) into (- (atan N)) 1545295086.690 * [misc]backup-simplify: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 1545295086.690 * [misc]backup-simplify: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 1545295086.691 * [misc]backup-simplify: Simplify (- 0) into 0 1545295086.691 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295086.691 * [misc]backup-simplify: Simplify 0 into 0 1545295086.691 * [misc]backup-simplify: Simplify (- 0) into 0 1545295086.691 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295086.691 * [misc]backup-simplify: Simplify 0 into 0 1545295086.691 * [misc]backup-simplify: Simplify (- 0) into 0 1545295086.691 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295086.691 * [misc]backup-simplify: Simplify 0 into 0 1545295086.691 * [misc]backup-simplify: Simplify (- 0) into 0 1545295086.692 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295086.692 * [misc]backup-simplify: Simplify 0 into 0 1545295086.692 * [misc]backup-simplify: Simplify (- 0) into 0 1545295086.692 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295086.692 * [misc]backup-simplify: Simplify 0 into 0 1545295086.692 * [misc]backup-simplify: Simplify (- 0) into 0 1545295086.692 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295086.692 * [misc]backup-simplify: Simplify 0 into 0 1545295086.692 * [misc]backup-simplify: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 1545295086.692 * [misc]backup-simplify: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 1545295086.692 * [misc]approximate: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 1545295086.692 * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 1545295086.692 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 1545295086.692 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1545295086.692 * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N 1545295086.692 * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 1545295086.692 * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 1545295086.692 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 1545295086.693 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1545295086.693 * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N 1545295086.693 * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 1545295086.693 * [misc]backup-simplify: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 1545295086.693 * [misc]backup-simplify: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 1545295086.693 * [misc]backup-simplify: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 1545295086.693 * [misc]backup-simplify: Simplify (- 0) into 0 1545295086.693 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295086.693 * [misc]backup-simplify: Simplify 0 into 0 1545295086.693 * [misc]backup-simplify: Simplify (- 0) into 0 1545295086.693 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295086.693 * [misc]backup-simplify: Simplify 0 into 0 1545295086.693 * [misc]backup-simplify: Simplify (- 0) into 0 1545295086.694 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295086.694 * [misc]backup-simplify: Simplify 0 into 0 1545295086.694 * [misc]backup-simplify: Simplify (- 0) into 0 1545295086.694 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295086.694 * [misc]backup-simplify: Simplify 0 into 0 1545295086.694 * [misc]backup-simplify: Simplify (- 0) into 0 1545295086.694 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295086.694 * [misc]backup-simplify: Simplify 0 into 0 1545295086.694 * [misc]backup-simplify: Simplify (- 0) into 0 1545295086.694 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295086.694 * [misc]backup-simplify: Simplify 0 into 0 1545295086.694 * [misc]backup-simplify: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 1545295086.694 * [misc]backup-simplify: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 1545295086.694 * [misc]approximate: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 1545295086.695 * [misc]taylor: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 1545295086.695 * [misc]taylor: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 1545295086.695 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1545295086.695 * [misc]taylor: Taking taylor expansion of (atan (/ -1 N)) in N 1545295086.695 * [misc]backup-simplify: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 1545295086.695 * [misc]taylor: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 1545295086.695 * [misc]taylor: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 1545295086.695 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1545295086.695 * [misc]taylor: Taking taylor expansion of (atan (/ -1 N)) in N 1545295086.695 * [misc]backup-simplify: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 1545295086.695 * [misc]backup-simplify: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 1545295086.695 * [misc]backup-simplify: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 1545295086.695 * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 1545295086.695 * [misc]backup-simplify: Simplify (- 0) into 0 1545295086.695 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295086.695 * [misc]backup-simplify: Simplify 0 into 0 1545295086.695 * [misc]backup-simplify: Simplify (- 0) into 0 1545295086.696 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295086.696 * [misc]backup-simplify: Simplify 0 into 0 1545295086.696 * [misc]backup-simplify: Simplify (- 0) into 0 1545295086.696 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295086.696 * [misc]backup-simplify: Simplify 0 into 0 1545295086.696 * [misc]backup-simplify: Simplify (- 0) into 0 1545295086.696 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295086.696 * [misc]backup-simplify: Simplify 0 into 0 1545295086.696 * [misc]backup-simplify: Simplify (- 0) into 0 1545295086.696 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295086.696 * [misc]backup-simplify: Simplify 0 into 0 1545295086.696 * [misc]backup-simplify: Simplify (- 0) into 0 1545295086.696 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295086.696 * [misc]backup-simplify: Simplify 0 into 0 1545295086.697 * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 1545295086.697 * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) 1545295086.697 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1545295086.697 * [misc]approximate: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 1545295086.697 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N 1545295086.697 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1545295086.697 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N 1545295086.697 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1545295086.697 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1545295086.697 * [misc]backup-simplify: Simplify 0 into 0 1545295086.697 * [misc]backup-simplify: Simplify 0 into 0 1545295086.697 * [misc]backup-simplify: Simplify 0 into 0 1545295086.697 * [misc]backup-simplify: Simplify 0 into 0 1545295086.697 * [misc]backup-simplify: Simplify 0 into 0 1545295086.697 * [misc]backup-simplify: Simplify 0 into 0 1545295086.697 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1545295086.697 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1545295086.697 * [misc]approximate: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 1545295086.697 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 1545295086.697 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1545295086.697 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 1545295086.697 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1545295086.697 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1545295086.697 * [misc]backup-simplify: Simplify 0 into 0 1545295086.697 * [misc]backup-simplify: Simplify 0 into 0 1545295086.697 * [misc]backup-simplify: Simplify 0 into 0 1545295086.698 * [misc]backup-simplify: Simplify 0 into 0 1545295086.698 * [misc]backup-simplify: Simplify 0 into 0 1545295086.698 * [misc]backup-simplify: Simplify 0 into 0 1545295086.698 * [misc]backup-simplify: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) 1545295086.698 * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) 1545295086.698 * [misc]approximate: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0 1545295086.698 * [misc]taylor: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 1545295086.698 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1545295086.698 * [misc]taylor: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 1545295086.698 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1545295086.698 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1545295086.698 * [misc]backup-simplify: Simplify 0 into 0 1545295086.698 * [misc]backup-simplify: Simplify 0 into 0 1545295086.698 * [misc]backup-simplify: Simplify 0 into 0 1545295086.698 * [misc]backup-simplify: Simplify 0 into 0 1545295086.698 * [misc]backup-simplify: Simplify 0 into 0 1545295086.698 * [misc]backup-simplify: Simplify 0 into 0 1545295086.698 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) 1545295086.698 * * * [misc]progress: simplifying candidates 1545295086.698 * * * * [misc]progress: [ 1 / 28 ] simplifiying candidate # 1545295086.698 * [enter]simplify: Simplifying (- (+ N 1) N) 1545295086.698 * * [misc]simplify: iters left: 4 (4 enodes) 1545295086.699 * * [misc]simplify: iters left: 3 (11 enodes) 1545295086.701 * * [misc]simplify: iters left: 2 (19 enodes) 1545295086.705 * * [misc]simplify: iters left: 1 (25 enodes) 1545295086.706 * [exit]simplify: Simplified to 1 1545295086.706 * [misc]simplify: Simplified (2 1) to (λ (N) (atan2 1 (+ 1 (* (+ N 1) N)))) 1545295086.706 * [enter]simplify: Simplifying (+ 1 (* (+ N 1) N)) 1545295086.706 * * [misc]simplify: iters left: 6 (5 enodes) 1545295086.707 * * [misc]simplify: iters left: 5 (10 enodes) 1545295086.709 * * [misc]simplify: iters left: 4 (17 enodes) 1545295086.711 * * [misc]simplify: iters left: 3 (27 enodes) 1545295086.714 * * [misc]simplify: iters left: 2 (42 enodes) 1545295086.722 * * [misc]simplify: iters left: 1 (43 enodes) 1545295086.725 * [exit]simplify: Simplified to (+ (+ N 1) (* N N)) 1545295086.725 * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ N 1) (* N N)))) 1545295086.725 * * * * [misc]progress: [ 2 / 28 ] simplifiying candidate # 1545295086.726 * [enter]simplify: Simplifying (/ (exp (atan (+ N 1))) (exp (atan N))) 1545295086.726 * * [misc]simplify: iters left: 6 (8 enodes) 1545295086.727 * * [misc]simplify: iters left: 5 (13 enodes) 1545295086.728 * * [misc]simplify: iters left: 4 (15 enodes) 1545295086.734 * * [misc]simplify: iters left: 3 (18 enodes) 1545295086.737 * * [misc]simplify: iters left: 2 (20 enodes) 1545295086.742 * * [misc]simplify: iters left: 1 (24 enodes) 1545295086.748 * [exit]simplify: Simplified to (exp (- (atan (+ 1 N)) (atan N))) 1545295086.748 * [misc]simplify: Simplified (2 1) to (λ (N) (log (exp (- (atan (+ 1 N)) (atan N))))) 1545295086.748 * * * * [misc]progress: [ 3 / 28 ] simplifiying candidate # 1545295086.749 * * * * [misc]progress: [ 4 / 28 ] simplifiying candidate # 1545295086.749 * * * * [misc]progress: [ 5 / 28 ] simplifiying candidate # 1545295086.749 * * * * [misc]progress: [ 6 / 28 ] simplifiying candidate # 1545295086.749 * * * * [misc]progress: [ 7 / 28 ] simplifiying candidate # 1545295086.749 * * * * [misc]progress: [ 8 / 28 ] simplifiying candidate # 1545295086.749 * * * * [misc]progress: [ 9 / 28 ] simplifiying candidate # 1545295086.749 * * * * [misc]progress: [ 10 / 28 ] simplifiying candidate # 1545295086.749 * * * * [misc]progress: [ 11 / 28 ] simplifiying candidate # 1545295086.749 * * * * [misc]progress: [ 12 / 28 ] simplifiying candidate # 1545295086.749 * * * * [misc]progress: [ 13 / 28 ] simplifiying candidate # 1545295086.749 * [enter]simplify: Simplifying (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) 1545295086.749 * * [misc]simplify: iters left: 6 (8 enodes) 1545295086.752 * * [misc]simplify: iters left: 5 (12 enodes) 1545295086.754 * [exit]simplify: Simplified to (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) 1545295086.754 * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) (- (sqrt (atan (+ N 1))) (sqrt (atan N))))) 1545295086.755 * [enter]simplify: Simplifying (- (sqrt (atan (+ N 1))) (sqrt (atan N))) 1545295086.755 * * [misc]simplify: iters left: 6 (8 enodes) 1545295086.757 * * [misc]simplify: iters left: 5 (13 enodes) 1545295086.760 * * [misc]simplify: iters left: 4 (14 enodes) 1545295086.763 * [exit]simplify: Simplified to (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) 1545295086.764 * [misc]simplify: Simplified (2 2) to (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N))))) 1545295086.764 * * * * [misc]progress: [ 14 / 28 ] simplifiying candidate # 1545295086.764 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1545295086.764 * * [misc]simplify: iters left: 5 (6 enodes) 1545295086.766 * * [misc]simplify: iters left: 4 (11 enodes) 1545295086.768 * * [misc]simplify: iters left: 3 (12 enodes) 1545295086.771 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1545295086.771 * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (atan (+ 1 N)) (atan N)))) 1545295086.771 * * * * [misc]progress: [ 15 / 28 ] simplifiying candidate # 1545295086.771 * * * * [misc]progress: [ 16 / 28 ] simplifiying candidate # 1545295086.771 * * * * [misc]progress: [ 17 / 28 ] simplifiying candidate # 1545295086.771 * * * * [misc]progress: [ 18 / 28 ] simplifiying candidate # 1545295086.771 * * * * [misc]progress: [ 19 / 28 ] simplifiying candidate # 1545295086.771 * * * * [misc]progress: [ 20 / 28 ] simplifiying candidate # 1545295086.771 * * * * [misc]progress: [ 21 / 28 ] simplifiying candidate # 1545295086.771 * * * * [misc]progress: [ 22 / 28 ] simplifiying candidate # 1545295086.771 * * * * [misc]progress: [ 23 / 28 ] simplifiying candidate # 1545295086.771 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1545295086.772 * * [misc]simplify: iters left: 5 (6 enodes) 1545295086.773 * * [misc]simplify: iters left: 4 (11 enodes) 1545295086.775 * * [misc]simplify: iters left: 3 (12 enodes) 1545295086.778 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1545295086.778 * [misc]simplify: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1545295086.778 * * * * [misc]progress: [ 24 / 28 ] simplifiying candidate # 1545295086.778 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1545295086.778 * * [misc]simplify: iters left: 5 (6 enodes) 1545295086.780 * * [misc]simplify: iters left: 4 (11 enodes) 1545295086.783 * * [misc]simplify: iters left: 3 (12 enodes) 1545295086.785 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1545295086.786 * [misc]simplify: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1545295086.786 * * * * [misc]progress: [ 25 / 28 ] simplifiying candidate # 1545295086.786 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1545295086.786 * * [misc]simplify: iters left: 5 (6 enodes) 1545295086.787 * * [misc]simplify: iters left: 4 (11 enodes) 1545295086.790 * * [misc]simplify: iters left: 3 (12 enodes) 1545295086.792 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1545295086.792 * [misc]simplify: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1545295086.792 * * * * [misc]progress: [ 26 / 28 ] simplifiying candidate # 1545295086.793 * [enter]simplify: Simplifying (atan (+ N 1)) 1545295086.793 * * [misc]simplify: iters left: 3 (4 enodes) 1545295086.794 * * [misc]simplify: iters left: 2 (7 enodes) 1545295086.795 * [exit]simplify: Simplified to (atan (+ 1 N)) 1545295086.795 * [misc]simplify: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1545295086.795 * * * * [misc]progress: [ 27 / 28 ] simplifiying candidate # 1545295086.796 * [enter]simplify: Simplifying (atan (+ N 1)) 1545295086.796 * * [misc]simplify: iters left: 3 (4 enodes) 1545295086.797 * * [misc]simplify: iters left: 2 (7 enodes) 1545295086.798 * [exit]simplify: Simplified to (atan (+ 1 N)) 1545295086.799 * [misc]simplify: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1545295086.799 * * * * [misc]progress: [ 28 / 28 ] simplifiying candidate # 1545295086.799 * [enter]simplify: Simplifying (atan (+ N 1)) 1545295086.799 * * [misc]simplify: iters left: 3 (4 enodes) 1545295086.800 * * [misc]simplify: iters left: 2 (7 enodes) 1545295086.802 * [exit]simplify: Simplified to (atan (+ 1 N)) 1545295086.802 * [misc]simplify: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1545295086.802 * * * [misc]progress: adding candidates to table 1545295087.030 * * [misc]progress: iteration 2 / 4 1545295087.030 * * * [misc]progress: picking best candidate 1545295087.035 * * * * [misc]pick: Picked # 1545295087.035 * * * [misc]progress: localizing error 1545295087.052 * * * [misc]progress: generating rewritten candidates 1545295087.052 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) 1545295087.053 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2 2) 1545295087.058 * * * [misc]progress: generating series expansions 1545295087.058 * * * * [misc]progress: [ 1 / 2 ] generating series at (2) 1545295087.059 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.059 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1545295087.059 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1545295087.059 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.059 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1545295087.059 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.059 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.059 * [misc]backup-simplify: Simplify 0 into 0 1545295087.059 * [misc]backup-simplify: Simplify 0 into 0 1545295087.060 * [misc]backup-simplify: Simplify 0 into 0 1545295087.060 * [misc]backup-simplify: Simplify 0 into 0 1545295087.060 * [misc]backup-simplify: Simplify 0 into 0 1545295087.060 * [misc]backup-simplify: Simplify 0 into 0 1545295087.060 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.060 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1545295087.060 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1545295087.060 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1545295087.060 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1545295087.060 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1545295087.061 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1545295087.061 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1545295087.061 * [misc]backup-simplify: Simplify 0 into 0 1545295087.061 * [misc]backup-simplify: Simplify 0 into 0 1545295087.061 * [misc]backup-simplify: Simplify 0 into 0 1545295087.061 * [misc]backup-simplify: Simplify 0 into 0 1545295087.061 * [misc]backup-simplify: Simplify 0 into 0 1545295087.061 * [misc]backup-simplify: Simplify 0 into 0 1545295087.061 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.062 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1545295087.062 * [misc]approximate: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1545295087.062 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1545295087.062 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1545295087.062 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1545295087.062 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1545295087.062 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1545295087.062 * [misc]backup-simplify: Simplify 0 into 0 1545295087.063 * [misc]backup-simplify: Simplify 0 into 0 1545295087.063 * [misc]backup-simplify: Simplify 0 into 0 1545295087.063 * [misc]backup-simplify: Simplify 0 into 0 1545295087.063 * [misc]backup-simplify: Simplify 0 into 0 1545295087.063 * [misc]backup-simplify: Simplify 0 into 0 1545295087.063 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.063 * * * * [misc]progress: [ 2 / 2 ] generating series at (2 2 2) 1545295087.063 * [misc]backup-simplify: Simplify (* (+ N 1) N) into (* (+ N 1) N) 1545295087.063 * [misc]approximate: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 1545295087.063 * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N 1545295087.063 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545295087.063 * [misc]taylor: Taking taylor expansion of N in N 1545295087.063 * [misc]backup-simplify: Simplify 0 into 0 1545295087.063 * [misc]backup-simplify: Simplify 1 into 1 1545295087.063 * [misc]taylor: Taking taylor expansion of 1 in N 1545295087.063 * [misc]backup-simplify: Simplify 1 into 1 1545295087.063 * [misc]taylor: Taking taylor expansion of N in N 1545295087.063 * [misc]backup-simplify: Simplify 0 into 0 1545295087.063 * [misc]backup-simplify: Simplify 1 into 1 1545295087.064 * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N 1545295087.064 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1545295087.064 * [misc]taylor: Taking taylor expansion of N in N 1545295087.064 * [misc]backup-simplify: Simplify 0 into 0 1545295087.064 * [misc]backup-simplify: Simplify 1 into 1 1545295087.064 * [misc]taylor: Taking taylor expansion of 1 in N 1545295087.064 * [misc]backup-simplify: Simplify 1 into 1 1545295087.064 * [misc]taylor: Taking taylor expansion of N in N 1545295087.064 * [misc]backup-simplify: Simplify 0 into 0 1545295087.064 * [misc]backup-simplify: Simplify 1 into 1 1545295087.064 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545295087.064 * [misc]backup-simplify: Simplify (* 1 0) into 0 1545295087.064 * [misc]backup-simplify: Simplify 0 into 0 1545295087.065 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545295087.065 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 1545295087.065 * [misc]backup-simplify: Simplify 1 into 1 1545295087.065 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295087.065 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 1545295087.065 * [misc]backup-simplify: Simplify 1 into 1 1545295087.066 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295087.066 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1545295087.066 * [misc]backup-simplify: Simplify 0 into 0 1545295087.066 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295087.067 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1545295087.067 * [misc]backup-simplify: Simplify 0 into 0 1545295087.067 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295087.067 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1545295087.067 * [misc]backup-simplify: Simplify 0 into 0 1545295087.067 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295087.068 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1545295087.068 * [misc]backup-simplify: Simplify 0 into 0 1545295087.068 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295087.069 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1545295087.069 * [misc]backup-simplify: Simplify 0 into 0 1545295087.069 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295087.070 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 1545295087.070 * [misc]backup-simplify: Simplify 0 into 0 1545295087.070 * [misc]backup-simplify: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 1545295087.070 * [misc]backup-simplify: Simplify (* (+ (/ 1 N) 1) (/ 1 N)) into (/ (+ (/ 1 N) 1) N) 1545295087.070 * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 1545295087.070 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 1545295087.070 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545295087.070 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545295087.070 * [misc]taylor: Taking taylor expansion of N in N 1545295087.070 * [misc]backup-simplify: Simplify 0 into 0 1545295087.070 * [misc]backup-simplify: Simplify 1 into 1 1545295087.070 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545295087.071 * [misc]taylor: Taking taylor expansion of 1 in N 1545295087.071 * [misc]backup-simplify: Simplify 1 into 1 1545295087.071 * [misc]taylor: Taking taylor expansion of N in N 1545295087.071 * [misc]backup-simplify: Simplify 0 into 0 1545295087.071 * [misc]backup-simplify: Simplify 1 into 1 1545295087.071 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545295087.071 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545295087.071 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 1545295087.071 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1545295087.071 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545295087.071 * [misc]taylor: Taking taylor expansion of N in N 1545295087.071 * [misc]backup-simplify: Simplify 0 into 0 1545295087.071 * [misc]backup-simplify: Simplify 1 into 1 1545295087.071 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545295087.071 * [misc]taylor: Taking taylor expansion of 1 in N 1545295087.071 * [misc]backup-simplify: Simplify 1 into 1 1545295087.071 * [misc]taylor: Taking taylor expansion of N in N 1545295087.071 * [misc]backup-simplify: Simplify 0 into 0 1545295087.071 * [misc]backup-simplify: Simplify 1 into 1 1545295087.072 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545295087.072 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545295087.072 * [misc]backup-simplify: Simplify 1 into 1 1545295087.072 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545295087.072 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1545295087.073 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1545295087.073 * [misc]backup-simplify: Simplify 1 into 1 1545295087.073 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545295087.073 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295087.074 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545295087.074 * [misc]backup-simplify: Simplify 0 into 0 1545295087.074 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545295087.074 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295087.075 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545295087.075 * [misc]backup-simplify: Simplify 0 into 0 1545295087.075 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545295087.075 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295087.076 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545295087.076 * [misc]backup-simplify: Simplify 0 into 0 1545295087.076 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545295087.077 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295087.077 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545295087.077 * [misc]backup-simplify: Simplify 0 into 0 1545295087.078 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545295087.078 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295087.078 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545295087.079 * [misc]backup-simplify: Simplify 0 into 0 1545295087.079 * [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 1545295087.079 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295087.080 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545295087.080 * [misc]backup-simplify: Simplify 0 into 0 1545295087.080 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 1545295087.081 * [misc]backup-simplify: Simplify (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N)) 1545295087.081 * [misc]approximate: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0 1545295087.081 * [misc]taylor: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 1545295087.081 * [misc]taylor: Taking taylor expansion of -1 in N 1545295087.081 * [misc]backup-simplify: Simplify -1 into -1 1545295087.081 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 1545295087.081 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545295087.081 * [misc]taylor: Taking taylor expansion of 1 in N 1545295087.081 * [misc]backup-simplify: Simplify 1 into 1 1545295087.081 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545295087.081 * [misc]taylor: Taking taylor expansion of N in N 1545295087.081 * [misc]backup-simplify: Simplify 0 into 0 1545295087.081 * [misc]backup-simplify: Simplify 1 into 1 1545295087.081 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545295087.081 * [misc]taylor: Taking taylor expansion of N in N 1545295087.081 * [misc]backup-simplify: Simplify 0 into 0 1545295087.081 * [misc]backup-simplify: Simplify 1 into 1 1545295087.081 * [misc]backup-simplify: Simplify (- 1) into -1 1545295087.082 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545295087.082 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545295087.082 * [misc]taylor: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 1545295087.082 * [misc]taylor: Taking taylor expansion of -1 in N 1545295087.082 * [misc]backup-simplify: Simplify -1 into -1 1545295087.082 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 1545295087.082 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1545295087.082 * [misc]taylor: Taking taylor expansion of 1 in N 1545295087.082 * [misc]backup-simplify: Simplify 1 into 1 1545295087.082 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1545295087.082 * [misc]taylor: Taking taylor expansion of N in N 1545295087.082 * [misc]backup-simplify: Simplify 0 into 0 1545295087.082 * [misc]backup-simplify: Simplify 1 into 1 1545295087.082 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545295087.082 * [misc]taylor: Taking taylor expansion of N in N 1545295087.082 * [misc]backup-simplify: Simplify 0 into 0 1545295087.082 * [misc]backup-simplify: Simplify 1 into 1 1545295087.082 * [misc]backup-simplify: Simplify (- 1) into -1 1545295087.083 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1545295087.083 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545295087.083 * [misc]backup-simplify: Simplify (* -1 -1) into 1 1545295087.083 * [misc]backup-simplify: Simplify 1 into 1 1545295087.083 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545295087.083 * [misc]backup-simplify: Simplify (- 0) into 0 1545295087.083 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1545295087.084 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 1545295087.084 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 -1)) into -1 1545295087.084 * [misc]backup-simplify: Simplify -1 into -1 1545295087.084 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545295087.084 * [misc]backup-simplify: Simplify (- 0) into 0 1545295087.084 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295087.084 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1545295087.084 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 1545295087.085 * [misc]backup-simplify: Simplify 0 into 0 1545295087.085 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545295087.085 * [misc]backup-simplify: Simplify (- 0) into 0 1545295087.085 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295087.085 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545295087.085 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 1545295087.085 * [misc]backup-simplify: Simplify 0 into 0 1545295087.086 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545295087.086 * [misc]backup-simplify: Simplify (- 0) into 0 1545295087.086 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295087.086 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545295087.086 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1545295087.086 * [misc]backup-simplify: Simplify 0 into 0 1545295087.087 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545295087.087 * [misc]backup-simplify: Simplify (- 0) into 0 1545295087.087 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295087.087 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545295087.087 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1545295087.087 * [misc]backup-simplify: Simplify 0 into 0 1545295087.088 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545295087.088 * [misc]backup-simplify: Simplify (- 0) into 0 1545295087.088 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295087.088 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545295087.089 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1545295087.089 * [misc]backup-simplify: Simplify 0 into 0 1545295087.089 * [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 1545295087.089 * [misc]backup-simplify: Simplify (- 0) into 0 1545295087.089 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545295087.090 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545295087.090 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1545295087.090 * [misc]backup-simplify: Simplify 0 into 0 1545295087.090 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2)) 1545295087.090 * * * [misc]progress: simplifying candidates 1545295087.090 * * * * [misc]progress: [ 1 / 26 ] simplifiying candidate # 1545295087.090 * * * * [misc]progress: [ 2 / 26 ] simplifiying candidate # 1545295087.090 * * * * [misc]progress: [ 3 / 26 ] simplifiying candidate # 1545295087.090 * * * * [misc]progress: [ 4 / 26 ] simplifiying candidate # 1545295087.090 * * * * [misc]progress: [ 5 / 26 ] simplifiying candidate # 1545295087.090 * * * * [misc]progress: [ 6 / 26 ] simplifiying candidate # 1545295087.090 * * * * [misc]progress: [ 7 / 26 ] simplifiying candidate # 1545295087.090 * * * * [misc]progress: [ 8 / 26 ] simplifiying candidate # 1545295087.090 * * * * [misc]progress: [ 9 / 26 ] simplifiying candidate # 1545295087.090 * * * * [misc]progress: [ 10 / 26 ] simplifiying candidate # 1545295087.090 * * * * [misc]progress: [ 11 / 26 ] simplifiying candidate # 1545295087.090 * * * * [misc]progress: [ 12 / 26 ] simplifiying candidate # 1545295087.091 * * * * [misc]progress: [ 13 / 26 ] simplifiying candidate # 1545295087.091 * * * * [misc]progress: [ 14 / 26 ] simplifiying candidate # 1545295087.091 * * * * [misc]progress: [ 15 / 26 ] simplifiying candidate # 1545295087.091 * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1545295087.091 * * [misc]simplify: iters left: 5 (5 enodes) 1545295087.092 * * [misc]simplify: iters left: 4 (8 enodes) 1545295087.093 * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1545295087.093 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ N 1)) N))))) 1545295087.093 * * * * [misc]progress: [ 16 / 26 ] simplifiying candidate # 1545295087.093 * [enter]simplify: Simplifying (sqrt (+ N 1)) 1545295087.093 * * [misc]simplify: iters left: 3 (4 enodes) 1545295087.093 * * [misc]simplify: iters left: 2 (7 enodes) 1545295087.094 * [exit]simplify: Simplified to (sqrt (+ 1 N)) 1545295087.094 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (sqrt (+ 1 N)) (* (sqrt (+ N 1)) N))))) 1545295087.094 * * * * [misc]progress: [ 17 / 26 ] simplifiying candidate # 1545295087.094 * * * * [misc]progress: [ 18 / 26 ] simplifiying candidate # 1545295087.094 * [enter]simplify: Simplifying (* (+ (pow N 3) (pow 1 3)) N) 1545295087.095 * * [misc]simplify: iters left: 5 (7 enodes) 1545295087.096 * * [misc]simplify: iters left: 4 (16 enodes) 1545295087.098 * * [misc]simplify: iters left: 3 (26 enodes) 1545295087.105 * * [misc]simplify: iters left: 2 (32 enodes) 1545295087.108 * [exit]simplify: Simplified to (+ N (pow N 4)) 1545295087.108 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (/ (+ N (pow N 4)) (+ (* N N) (- (* 1 1) (* N 1))))))) 1545295087.108 * * * * [misc]progress: [ 19 / 26 ] simplifiying candidate # 1545295087.108 * [enter]simplify: Simplifying (* (- (* N N) (* 1 1)) N) 1545295087.108 * * [misc]simplify: iters left: 6 (6 enodes) 1545295087.112 * * [misc]simplify: iters left: 5 (12 enodes) 1545295087.113 * * [misc]simplify: iters left: 4 (15 enodes) 1545295087.115 * * [misc]simplify: iters left: 3 (22 enodes) 1545295087.119 * * [misc]simplify: iters left: 2 (56 enodes) 1545295087.146 * * [misc]simplify: iters left: 1 (136 enodes) 1545295087.229 * [exit]simplify: Simplified to (- (pow N 3) N) 1545295087.229 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (/ (- (pow N 3) N) (- N 1))))) 1545295087.229 * * * * [misc]progress: [ 20 / 26 ] simplifiying candidate # 1545295087.229 * * * * [misc]progress: [ 21 / 26 ] simplifiying candidate # 1545295087.229 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.229 * * [misc]simplify: iters left: 6 (7 enodes) 1545295087.231 * * [misc]simplify: iters left: 5 (14 enodes) 1545295087.235 * * [misc]simplify: iters left: 4 (21 enodes) 1545295087.240 * * [misc]simplify: iters left: 3 (23 enodes) 1545295087.245 * * [misc]simplify: iters left: 2 (29 enodes) 1545295087.253 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1545295087.253 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1545295087.253 * * * * [misc]progress: [ 22 / 26 ] simplifiying candidate # 1545295087.254 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.254 * * [misc]simplify: iters left: 6 (7 enodes) 1545295087.256 * * [misc]simplify: iters left: 5 (14 enodes) 1545295087.258 * * [misc]simplify: iters left: 4 (21 enodes) 1545295087.260 * * [misc]simplify: iters left: 3 (23 enodes) 1545295087.264 * * [misc]simplify: iters left: 2 (29 enodes) 1545295087.268 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1545295087.268 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1545295087.268 * * * * [misc]progress: [ 23 / 26 ] simplifiying candidate # 1545295087.268 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.268 * * [misc]simplify: iters left: 6 (7 enodes) 1545295087.269 * * [misc]simplify: iters left: 5 (14 enodes) 1545295087.271 * * [misc]simplify: iters left: 4 (21 enodes) 1545295087.275 * * [misc]simplify: iters left: 3 (23 enodes) 1545295087.278 * * [misc]simplify: iters left: 2 (29 enodes) 1545295087.282 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1545295087.282 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1545295087.282 * * * * [misc]progress: [ 24 / 26 ] simplifiying candidate # 1545295087.282 * [enter]simplify: Simplifying (+ N (pow N 2)) 1545295087.282 * * [misc]simplify: iters left: 3 (4 enodes) 1545295087.283 * * [misc]simplify: iters left: 2 (6 enodes) 1545295087.284 * * [misc]simplify: iters left: 1 (9 enodes) 1545295087.285 * [exit]simplify: Simplified to (+ N (* N N)) 1545295087.285 * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N))))) 1545295087.285 * * * * [misc]progress: [ 25 / 26 ] simplifiying candidate # 1545295087.285 * [enter]simplify: Simplifying (+ N (pow N 2)) 1545295087.285 * * [misc]simplify: iters left: 3 (4 enodes) 1545295087.286 * * [misc]simplify: iters left: 2 (6 enodes) 1545295087.286 * * [misc]simplify: iters left: 1 (9 enodes) 1545295087.288 * [exit]simplify: Simplified to (+ N (* N N)) 1545295087.288 * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N))))) 1545295087.288 * * * * [misc]progress: [ 26 / 26 ] simplifiying candidate # 1545295087.288 * [enter]simplify: Simplifying (+ N (pow N 2)) 1545295087.288 * * [misc]simplify: iters left: 3 (4 enodes) 1545295087.289 * * [misc]simplify: iters left: 2 (6 enodes) 1545295087.289 * * [misc]simplify: iters left: 1 (9 enodes) 1545295087.291 * [exit]simplify: Simplified to (+ N (* N N)) 1545295087.291 * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N))))) 1545295087.291 * * * [misc]progress: adding candidates to table 1545295087.533 * * [misc]progress: iteration 3 / 4 1545295087.534 * * * [misc]progress: picking best candidate 1545295087.542 * * * * [misc]pick: Picked # 1545295087.542 * * * [misc]progress: localizing error 1545295087.548 * * * [misc]progress: generating rewritten candidates 1545295087.548 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) 1545295087.548 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1545295087.549 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) 1545295087.549 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) 1545295087.549 * * * [misc]progress: generating series expansions 1545295087.549 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) 1545295087.550 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295087.550 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 1545295087.550 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1545295087.550 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1545295087.550 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.550 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295087.550 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295087.550 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1545295087.550 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1545295087.550 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.550 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295087.550 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295087.551 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295087.551 * [misc]backup-simplify: Simplify 0 into 0 1545295087.551 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295087.551 * [misc]backup-simplify: Simplify 0 into 0 1545295087.552 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295087.552 * [misc]backup-simplify: Simplify 0 into 0 1545295087.552 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295087.552 * [misc]backup-simplify: Simplify 0 into 0 1545295087.553 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295087.553 * [misc]backup-simplify: Simplify 0 into 0 1545295087.553 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295087.553 * [misc]backup-simplify: Simplify 0 into 0 1545295087.554 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295087.554 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1545295087.554 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 1545295087.554 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1545295087.554 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1545295087.554 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1545295087.554 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1545295087.554 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295087.554 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1545295087.554 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1545295087.554 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1545295087.554 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1545295087.555 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295087.555 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1545295087.555 * [misc]backup-simplify: Simplify 0 into 0 1545295087.555 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295087.555 * [misc]backup-simplify: Simplify 0 into 0 1545295087.556 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295087.556 * [misc]backup-simplify: Simplify 0 into 0 1545295087.556 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295087.556 * [misc]backup-simplify: Simplify 0 into 0 1545295087.557 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295087.557 * [misc]backup-simplify: Simplify 0 into 0 1545295087.557 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295087.557 * [misc]backup-simplify: Simplify 0 into 0 1545295087.558 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295087.558 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1545295087.558 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 1545295087.558 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1545295087.558 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1545295087.558 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1545295087.558 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1545295087.558 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295087.558 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1545295087.558 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1545295087.558 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1545295087.559 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1545295087.559 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295087.559 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1545295087.559 * [misc]backup-simplify: Simplify 0 into 0 1545295087.560 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295087.560 * [misc]backup-simplify: Simplify 0 into 0 1545295087.560 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295087.560 * [misc]backup-simplify: Simplify 0 into 0 1545295087.561 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295087.561 * [misc]backup-simplify: Simplify 0 into 0 1545295087.561 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295087.561 * [misc]backup-simplify: Simplify 0 into 0 1545295087.562 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295087.562 * [misc]backup-simplify: Simplify 0 into 0 1545295087.562 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295087.562 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1545295087.562 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295087.562 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 1545295087.562 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1545295087.562 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1545295087.562 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.562 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295087.563 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295087.563 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1545295087.563 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1545295087.563 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.563 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295087.563 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295087.563 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295087.563 * [misc]backup-simplify: Simplify 0 into 0 1545295087.564 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295087.564 * [misc]backup-simplify: Simplify 0 into 0 1545295087.564 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295087.564 * [misc]backup-simplify: Simplify 0 into 0 1545295087.565 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295087.565 * [misc]backup-simplify: Simplify 0 into 0 1545295087.565 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295087.565 * [misc]backup-simplify: Simplify 0 into 0 1545295087.566 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295087.566 * [misc]backup-simplify: Simplify 0 into 0 1545295087.566 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295087.566 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1545295087.566 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 1545295087.566 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1545295087.566 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1545295087.566 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1545295087.566 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1545295087.566 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295087.566 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1545295087.566 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1545295087.567 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1545295087.567 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1545295087.567 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295087.567 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1545295087.567 * [misc]backup-simplify: Simplify 0 into 0 1545295087.568 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295087.568 * [misc]backup-simplify: Simplify 0 into 0 1545295087.568 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295087.568 * [misc]backup-simplify: Simplify 0 into 0 1545295087.569 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295087.569 * [misc]backup-simplify: Simplify 0 into 0 1545295087.569 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295087.569 * [misc]backup-simplify: Simplify 0 into 0 1545295087.570 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295087.570 * [misc]backup-simplify: Simplify 0 into 0 1545295087.570 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295087.570 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1545295087.570 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 1545295087.570 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1545295087.570 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1545295087.570 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1545295087.570 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1545295087.571 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295087.571 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1545295087.571 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1545295087.571 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1545295087.571 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1545295087.571 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295087.571 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1545295087.571 * [misc]backup-simplify: Simplify 0 into 0 1545295087.572 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295087.572 * [misc]backup-simplify: Simplify 0 into 0 1545295087.572 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295087.572 * [misc]backup-simplify: Simplify 0 into 0 1545295087.573 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295087.573 * [misc]backup-simplify: Simplify 0 into 0 1545295087.573 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295087.573 * [misc]backup-simplify: Simplify 0 into 0 1545295087.574 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295087.574 * [misc]backup-simplify: Simplify 0 into 0 1545295087.574 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295087.574 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) 1545295087.574 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.574 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1545295087.574 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1545295087.574 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.574 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1545295087.575 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.575 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.575 * [misc]backup-simplify: Simplify 0 into 0 1545295087.575 * [misc]backup-simplify: Simplify 0 into 0 1545295087.575 * [misc]backup-simplify: Simplify 0 into 0 1545295087.575 * [misc]backup-simplify: Simplify 0 into 0 1545295087.575 * [misc]backup-simplify: Simplify 0 into 0 1545295087.575 * [misc]backup-simplify: Simplify 0 into 0 1545295087.575 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.575 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1545295087.575 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1545295087.575 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1545295087.575 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1545295087.575 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1545295087.575 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1545295087.576 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1545295087.576 * [misc]backup-simplify: Simplify 0 into 0 1545295087.576 * [misc]backup-simplify: Simplify 0 into 0 1545295087.576 * [misc]backup-simplify: Simplify 0 into 0 1545295087.576 * [misc]backup-simplify: Simplify 0 into 0 1545295087.576 * [misc]backup-simplify: Simplify 0 into 0 1545295087.576 * [misc]backup-simplify: Simplify 0 into 0 1545295087.576 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.576 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1545295087.576 * [misc]approximate: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1545295087.576 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1545295087.576 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1545295087.576 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1545295087.576 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1545295087.576 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1545295087.576 * [misc]backup-simplify: Simplify 0 into 0 1545295087.576 * [misc]backup-simplify: Simplify 0 into 0 1545295087.576 * [misc]backup-simplify: Simplify 0 into 0 1545295087.576 * [misc]backup-simplify: Simplify 0 into 0 1545295087.577 * [misc]backup-simplify: Simplify 0 into 0 1545295087.577 * [misc]backup-simplify: Simplify 0 into 0 1545295087.577 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.577 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) 1545295087.577 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.577 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1545295087.577 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1545295087.577 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.577 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1545295087.577 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.577 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.577 * [misc]backup-simplify: Simplify 0 into 0 1545295087.577 * [misc]backup-simplify: Simplify 0 into 0 1545295087.577 * [misc]backup-simplify: Simplify 0 into 0 1545295087.577 * [misc]backup-simplify: Simplify 0 into 0 1545295087.577 * [misc]backup-simplify: Simplify 0 into 0 1545295087.577 * [misc]backup-simplify: Simplify 0 into 0 1545295087.577 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.578 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1545295087.578 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1545295087.578 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1545295087.578 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1545295087.578 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1545295087.578 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1545295087.578 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1545295087.578 * [misc]backup-simplify: Simplify 0 into 0 1545295087.578 * [misc]backup-simplify: Simplify 0 into 0 1545295087.578 * [misc]backup-simplify: Simplify 0 into 0 1545295087.578 * [misc]backup-simplify: Simplify 0 into 0 1545295087.578 * [misc]backup-simplify: Simplify 0 into 0 1545295087.578 * [misc]backup-simplify: Simplify 0 into 0 1545295087.578 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.578 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1545295087.578 * [misc]approximate: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1545295087.578 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1545295087.579 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1545295087.579 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1545295087.579 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1545295087.579 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1545295087.579 * [misc]backup-simplify: Simplify 0 into 0 1545295087.579 * [misc]backup-simplify: Simplify 0 into 0 1545295087.579 * [misc]backup-simplify: Simplify 0 into 0 1545295087.579 * [misc]backup-simplify: Simplify 0 into 0 1545295087.579 * [misc]backup-simplify: Simplify 0 into 0 1545295087.579 * [misc]backup-simplify: Simplify 0 into 0 1545295087.579 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.579 * * * [misc]progress: simplifying candidates 1545295087.579 * * * * [misc]progress: [ 1 / 50 ] simplifiying candidate # 1545295087.580 * * * * [misc]progress: [ 2 / 50 ] simplifiying candidate # 1545295087.580 * * * * [misc]progress: [ 3 / 50 ] simplifiying candidate # 1545295087.580 * * * * [misc]progress: [ 4 / 50 ] simplifiying candidate # 1545295087.580 * * * * [misc]progress: [ 5 / 50 ] simplifiying candidate # 1545295087.580 * * * * [misc]progress: [ 6 / 50 ] simplifiying candidate # 1545295087.580 * * * * [misc]progress: [ 7 / 50 ] simplifiying candidate # 1545295087.580 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295087.580 * * [misc]simplify: iters left: 6 (9 enodes) 1545295087.583 * * [misc]simplify: iters left: 5 (15 enodes) 1545295087.587 * * [misc]simplify: iters left: 4 (22 enodes) 1545295087.594 * * [misc]simplify: iters left: 3 (32 enodes) 1545295087.602 * * [misc]simplify: iters left: 2 (48 enodes) 1545295087.618 * * [misc]simplify: iters left: 1 (49 enodes) 1545295087.625 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1545295087.625 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1545295087.625 * * * * [misc]progress: [ 8 / 50 ] simplifiying candidate # 1545295087.625 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1545295087.625 * * [misc]simplify: iters left: 6 (8 enodes) 1545295087.628 * * [misc]simplify: iters left: 5 (13 enodes) 1545295087.631 * * [misc]simplify: iters left: 4 (20 enodes) 1545295087.638 * * [misc]simplify: iters left: 3 (30 enodes) 1545295087.645 * * [misc]simplify: iters left: 2 (45 enodes) 1545295087.661 * * [misc]simplify: iters left: 1 (46 enodes) 1545295087.667 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1545295087.667 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1545295087.667 * * * * [misc]progress: [ 9 / 50 ] simplifiying candidate # 1545295087.668 * [enter]simplify: Simplifying (sqrt 1) 1545295087.668 * * [misc]simplify: iters left: 1 (2 enodes) 1545295087.669 * [exit]simplify: Simplified to 1 1545295087.669 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1545295087.669 * * * * [misc]progress: [ 10 / 50 ] simplifiying candidate # 1545295087.669 * * * * [misc]progress: [ 11 / 50 ] simplifiying candidate # 1545295087.670 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1545295087.670 * * [misc]simplify: iters left: 6 (7 enodes) 1545295087.672 * * [misc]simplify: iters left: 5 (12 enodes) 1545295087.675 * * [misc]simplify: iters left: 4 (19 enodes) 1545295087.682 * * [misc]simplify: iters left: 3 (29 enodes) 1545295087.686 * * [misc]simplify: iters left: 2 (45 enodes) 1545295087.694 * * [misc]simplify: iters left: 1 (46 enodes) 1545295087.697 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1545295087.697 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (fabs (sqrt (atan2 1 (+ (+ N 1) (* N N))))))) 1545295087.697 * * * * [misc]progress: [ 12 / 50 ] simplifiying candidate # 1545295087.697 * * * * [misc]progress: [ 13 / 50 ] simplifiying candidate # 1545295087.697 * * * * [misc]progress: [ 14 / 50 ] simplifiying candidate # 1545295087.697 * * * * [misc]progress: [ 15 / 50 ] simplifiying candidate # 1545295087.697 * * * * [misc]progress: [ 16 / 50 ] simplifiying candidate # 1545295087.697 * * * * [misc]progress: [ 17 / 50 ] simplifiying candidate # 1545295087.697 * * * * [misc]progress: [ 18 / 50 ] simplifiying candidate # 1545295087.697 * * * * [misc]progress: [ 19 / 50 ] simplifiying candidate # 1545295087.697 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295087.697 * * [misc]simplify: iters left: 6 (9 enodes) 1545295087.699 * * [misc]simplify: iters left: 5 (15 enodes) 1545295087.701 * * [misc]simplify: iters left: 4 (22 enodes) 1545295087.705 * * [misc]simplify: iters left: 3 (32 enodes) 1545295087.709 * * [misc]simplify: iters left: 2 (48 enodes) 1545295087.723 * * [misc]simplify: iters left: 1 (49 enodes) 1545295087.730 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1545295087.730 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295087.730 * * * * [misc]progress: [ 20 / 50 ] simplifiying candidate # 1545295087.731 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1545295087.731 * * [misc]simplify: iters left: 6 (8 enodes) 1545295087.733 * * [misc]simplify: iters left: 5 (13 enodes) 1545295087.737 * * [misc]simplify: iters left: 4 (20 enodes) 1545295087.743 * * [misc]simplify: iters left: 3 (30 enodes) 1545295087.750 * * [misc]simplify: iters left: 2 (45 enodes) 1545295087.759 * * [misc]simplify: iters left: 1 (46 enodes) 1545295087.762 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1545295087.762 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295087.762 * * * * [misc]progress: [ 21 / 50 ] simplifiying candidate # 1545295087.763 * [enter]simplify: Simplifying (sqrt 1) 1545295087.763 * * [misc]simplify: iters left: 1 (2 enodes) 1545295087.764 * [exit]simplify: Simplified to 1 1545295087.764 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295087.764 * * * * [misc]progress: [ 22 / 50 ] simplifiying candidate # 1545295087.764 * * * * [misc]progress: [ 23 / 50 ] simplifiying candidate # 1545295087.764 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1545295087.764 * * [misc]simplify: iters left: 6 (7 enodes) 1545295087.765 * * [misc]simplify: iters left: 5 (12 enodes) 1545295087.767 * * [misc]simplify: iters left: 4 (19 enodes) 1545295087.770 * * [misc]simplify: iters left: 3 (29 enodes) 1545295087.773 * * [misc]simplify: iters left: 2 (45 enodes) 1545295087.783 * * [misc]simplify: iters left: 1 (46 enodes) 1545295087.790 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1545295087.790 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (fabs (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295087.790 * * * * [misc]progress: [ 24 / 50 ] simplifiying candidate # 1545295087.790 * * * * [misc]progress: [ 25 / 50 ] simplifiying candidate # 1545295087.790 * * * * [misc]progress: [ 26 / 50 ] simplifiying candidate # 1545295087.790 * * * * [misc]progress: [ 27 / 50 ] simplifiying candidate # 1545295087.790 * * * * [misc]progress: [ 28 / 50 ] simplifiying candidate # 1545295087.790 * * * * [misc]progress: [ 29 / 50 ] simplifiying candidate # 1545295087.790 * * * * [misc]progress: [ 30 / 50 ] simplifiying candidate # 1545295087.790 * * * * [misc]progress: [ 31 / 50 ] simplifiying candidate # 1545295087.790 * * * * [misc]progress: [ 32 / 50 ] simplifiying candidate # 1545295087.790 * * * * [misc]progress: [ 33 / 50 ] simplifiying candidate # 1545295087.791 * * * * [misc]progress: [ 34 / 50 ] simplifiying candidate # 1545295087.791 * * * * [misc]progress: [ 35 / 50 ] simplifiying candidate # 1545295087.791 * * * * [misc]progress: [ 36 / 50 ] simplifiying candidate # 1545295087.791 * * * * [misc]progress: [ 37 / 50 ] simplifiying candidate # 1545295087.791 * * * * [misc]progress: [ 38 / 50 ] simplifiying candidate # 1545295087.791 * * * * [misc]progress: [ 39 / 50 ] simplifiying candidate # 1545295087.791 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295087.791 * * [misc]simplify: iters left: 6 (8 enodes) 1545295087.794 * * [misc]simplify: iters left: 5 (15 enodes) 1545295087.798 * * [misc]simplify: iters left: 4 (22 enodes) 1545295087.803 * * [misc]simplify: iters left: 3 (24 enodes) 1545295087.809 * * [misc]simplify: iters left: 2 (30 enodes) 1545295087.818 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1545295087.818 * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1545295087.818 * * * * [misc]progress: [ 40 / 50 ] simplifiying candidate # 1545295087.819 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295087.819 * * [misc]simplify: iters left: 6 (8 enodes) 1545295087.821 * * [misc]simplify: iters left: 5 (15 enodes) 1545295087.825 * * [misc]simplify: iters left: 4 (22 enodes) 1545295087.830 * * [misc]simplify: iters left: 3 (24 enodes) 1545295087.836 * * [misc]simplify: iters left: 2 (30 enodes) 1545295087.845 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1545295087.845 * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1545295087.845 * * * * [misc]progress: [ 41 / 50 ] simplifiying candidate # 1545295087.845 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295087.845 * * [misc]simplify: iters left: 6 (8 enodes) 1545295087.848 * * [misc]simplify: iters left: 5 (15 enodes) 1545295087.852 * * [misc]simplify: iters left: 4 (22 enodes) 1545295087.857 * * [misc]simplify: iters left: 3 (24 enodes) 1545295087.863 * * [misc]simplify: iters left: 2 (30 enodes) 1545295087.872 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1545295087.872 * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1545295087.872 * * * * [misc]progress: [ 42 / 50 ] simplifiying candidate # 1545295087.872 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295087.872 * * [misc]simplify: iters left: 6 (8 enodes) 1545295087.875 * * [misc]simplify: iters left: 5 (15 enodes) 1545295087.878 * * [misc]simplify: iters left: 4 (22 enodes) 1545295087.884 * * [misc]simplify: iters left: 3 (24 enodes) 1545295087.890 * * [misc]simplify: iters left: 2 (30 enodes) 1545295087.898 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1545295087.898 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295087.899 * * * * [misc]progress: [ 43 / 50 ] simplifiying candidate # 1545295087.899 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295087.899 * * [misc]simplify: iters left: 6 (8 enodes) 1545295087.901 * * [misc]simplify: iters left: 5 (15 enodes) 1545295087.904 * * [misc]simplify: iters left: 4 (22 enodes) 1545295087.907 * * [misc]simplify: iters left: 3 (24 enodes) 1545295087.910 * * [misc]simplify: iters left: 2 (30 enodes) 1545295087.914 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1545295087.914 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295087.915 * * * * [misc]progress: [ 44 / 50 ] simplifiying candidate # 1545295087.915 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295087.915 * * [misc]simplify: iters left: 6 (8 enodes) 1545295087.916 * * [misc]simplify: iters left: 5 (15 enodes) 1545295087.918 * * [misc]simplify: iters left: 4 (22 enodes) 1545295087.921 * * [misc]simplify: iters left: 3 (24 enodes) 1545295087.923 * * [misc]simplify: iters left: 2 (30 enodes) 1545295087.928 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1545295087.928 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295087.928 * * * * [misc]progress: [ 45 / 50 ] simplifiying candidate # 1545295087.928 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.928 * * [misc]simplify: iters left: 6 (7 enodes) 1545295087.929 * * [misc]simplify: iters left: 5 (14 enodes) 1545295087.931 * * [misc]simplify: iters left: 4 (21 enodes) 1545295087.933 * * [misc]simplify: iters left: 3 (23 enodes) 1545295087.938 * * [misc]simplify: iters left: 2 (29 enodes) 1545295087.947 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1545295087.947 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1545295087.947 * * * * [misc]progress: [ 46 / 50 ] simplifiying candidate # 1545295087.947 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.947 * * [misc]simplify: iters left: 6 (7 enodes) 1545295087.950 * * [misc]simplify: iters left: 5 (14 enodes) 1545295087.954 * * [misc]simplify: iters left: 4 (21 enodes) 1545295087.960 * * [misc]simplify: iters left: 3 (23 enodes) 1545295087.966 * * [misc]simplify: iters left: 2 (29 enodes) 1545295087.974 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1545295087.974 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1545295087.974 * * * * [misc]progress: [ 47 / 50 ] simplifiying candidate # 1545295087.974 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1545295087.975 * * [misc]simplify: iters left: 6 (7 enodes) 1545295087.977 * * [misc]simplify: iters left: 5 (14 enodes) 1545295087.981 * * [misc]simplify: iters left: 4 (21 enodes) 1545295087.986 * * [misc]simplify: iters left: 3 (23 enodes) 1545295087.992 * * [misc]simplify: iters left: 2 (29 enodes) 1545295088.000 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1545295088.001 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1545295088.001 * * * * [misc]progress: [ 48 / 50 ] simplifiying candidate # 1545295088.001 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1545295088.001 * * [misc]simplify: iters left: 6 (7 enodes) 1545295088.003 * * [misc]simplify: iters left: 5 (14 enodes) 1545295088.005 * * [misc]simplify: iters left: 4 (21 enodes) 1545295088.008 * * [misc]simplify: iters left: 3 (23 enodes) 1545295088.010 * * [misc]simplify: iters left: 2 (29 enodes) 1545295088.015 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1545295088.015 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ (* N N) (+ N 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295088.015 * * * * [misc]progress: [ 49 / 50 ] simplifiying candidate # 1545295088.015 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1545295088.015 * * [misc]simplify: iters left: 6 (7 enodes) 1545295088.016 * * [misc]simplify: iters left: 5 (14 enodes) 1545295088.018 * * [misc]simplify: iters left: 4 (21 enodes) 1545295088.020 * * [misc]simplify: iters left: 3 (23 enodes) 1545295088.023 * * [misc]simplify: iters left: 2 (29 enodes) 1545295088.027 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1545295088.027 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ (* N N) (+ N 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295088.027 * * * * [misc]progress: [ 50 / 50 ] simplifiying candidate # 1545295088.027 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1545295088.027 * * [misc]simplify: iters left: 6 (7 enodes) 1545295088.028 * * [misc]simplify: iters left: 5 (14 enodes) 1545295088.030 * * [misc]simplify: iters left: 4 (21 enodes) 1545295088.033 * * [misc]simplify: iters left: 3 (23 enodes) 1545295088.036 * * [misc]simplify: iters left: 2 (29 enodes) 1545295088.044 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1545295088.044 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ (* N N) (+ N 1)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295088.044 * * * [misc]progress: adding candidates to table 1545295088.567 * * [misc]progress: iteration 4 / 4 1545295088.567 * * * [misc]progress: picking best candidate 1545295088.579 * * * * [misc]pick: Picked # 1545295088.579 * * * [misc]progress: localizing error 1545295088.590 * * * [misc]progress: generating rewritten candidates 1545295088.590 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) 1545295088.590 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) 1545295088.591 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) 1545295088.591 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) 1545295088.592 * * * [misc]progress: generating series expansions 1545295088.592 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) 1545295088.592 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295088.592 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 1545295088.592 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1545295088.592 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1545295088.592 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295088.592 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295088.592 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295088.592 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1545295088.592 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1545295088.592 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295088.593 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295088.593 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295088.593 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295088.593 * [misc]backup-simplify: Simplify 0 into 0 1545295088.594 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295088.594 * [misc]backup-simplify: Simplify 0 into 0 1545295088.594 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295088.594 * [misc]backup-simplify: Simplify 0 into 0 1545295088.595 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295088.595 * [misc]backup-simplify: Simplify 0 into 0 1545295088.595 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295088.595 * [misc]backup-simplify: Simplify 0 into 0 1545295088.596 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295088.596 * [misc]backup-simplify: Simplify 0 into 0 1545295088.596 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295088.596 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1545295088.596 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 1545295088.596 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1545295088.596 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1545295088.596 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1545295088.596 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1545295088.596 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295088.596 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1545295088.596 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1545295088.596 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1545295088.597 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1545295088.597 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295088.597 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1545295088.597 * [misc]backup-simplify: Simplify 0 into 0 1545295088.598 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295088.598 * [misc]backup-simplify: Simplify 0 into 0 1545295088.598 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295088.598 * [misc]backup-simplify: Simplify 0 into 0 1545295088.598 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295088.599 * [misc]backup-simplify: Simplify 0 into 0 1545295088.599 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295088.599 * [misc]backup-simplify: Simplify 0 into 0 1545295088.600 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295088.600 * [misc]backup-simplify: Simplify 0 into 0 1545295088.600 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295088.600 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1545295088.600 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 1545295088.600 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1545295088.600 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1545295088.600 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1545295088.600 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1545295088.600 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295088.600 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1545295088.600 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1545295088.600 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1545295088.601 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1545295088.601 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295088.601 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1545295088.601 * [misc]backup-simplify: Simplify 0 into 0 1545295088.602 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295088.602 * [misc]backup-simplify: Simplify 0 into 0 1545295088.602 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295088.602 * [misc]backup-simplify: Simplify 0 into 0 1545295088.603 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295088.603 * [misc]backup-simplify: Simplify 0 into 0 1545295088.603 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295088.603 * [misc]backup-simplify: Simplify 0 into 0 1545295088.604 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295088.604 * [misc]backup-simplify: Simplify 0 into 0 1545295088.604 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295088.604 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) 1545295088.604 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295088.604 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 1545295088.604 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1545295088.604 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1545295088.604 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295088.604 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295088.604 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295088.604 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1545295088.604 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1545295088.605 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295088.605 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295088.605 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295088.605 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295088.605 * [misc]backup-simplify: Simplify 0 into 0 1545295088.606 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295088.606 * [misc]backup-simplify: Simplify 0 into 0 1545295088.606 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295088.606 * [misc]backup-simplify: Simplify 0 into 0 1545295088.606 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295088.606 * [misc]backup-simplify: Simplify 0 into 0 1545295088.607 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295088.607 * [misc]backup-simplify: Simplify 0 into 0 1545295088.607 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295088.607 * [misc]backup-simplify: Simplify 0 into 0 1545295088.608 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295088.608 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1545295088.608 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 1545295088.608 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1545295088.608 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1545295088.608 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1545295088.608 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1545295088.608 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295088.608 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1545295088.608 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1545295088.608 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1545295088.608 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1545295088.609 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295088.609 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1545295088.609 * [misc]backup-simplify: Simplify 0 into 0 1545295088.609 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295088.609 * [misc]backup-simplify: Simplify 0 into 0 1545295088.610 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295088.610 * [misc]backup-simplify: Simplify 0 into 0 1545295088.610 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295088.610 * [misc]backup-simplify: Simplify 0 into 0 1545295088.611 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295088.611 * [misc]backup-simplify: Simplify 0 into 0 1545295088.612 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295088.612 * [misc]backup-simplify: Simplify 0 into 0 1545295088.612 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295088.612 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1545295088.612 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 1545295088.612 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1545295088.612 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1545295088.613 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1545295088.613 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1545295088.613 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295088.613 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1545295088.613 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1545295088.613 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1545295088.614 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1545295088.614 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295088.614 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1545295088.614 * [misc]backup-simplify: Simplify 0 into 0 1545295088.616 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295088.616 * [misc]backup-simplify: Simplify 0 into 0 1545295088.616 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295088.616 * [misc]backup-simplify: Simplify 0 into 0 1545295088.617 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295088.617 * [misc]backup-simplify: Simplify 0 into 0 1545295088.618 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295088.618 * [misc]backup-simplify: Simplify 0 into 0 1545295088.619 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295088.619 * [misc]backup-simplify: Simplify 0 into 0 1545295088.619 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295088.619 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1) 1545295088.620 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295088.620 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 1545295088.620 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1545295088.620 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1545295088.620 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295088.620 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295088.620 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295088.620 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1545295088.620 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1545295088.621 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295088.621 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295088.621 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295088.621 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295088.621 * [misc]backup-simplify: Simplify 0 into 0 1545295088.622 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295088.622 * [misc]backup-simplify: Simplify 0 into 0 1545295088.623 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295088.623 * [misc]backup-simplify: Simplify 0 into 0 1545295088.624 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295088.624 * [misc]backup-simplify: Simplify 0 into 0 1545295088.624 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295088.624 * [misc]backup-simplify: Simplify 0 into 0 1545295088.625 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1545295088.625 * [misc]backup-simplify: Simplify 0 into 0 1545295088.626 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295088.626 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1545295088.626 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 1545295088.626 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1545295088.626 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1545295088.626 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1545295088.626 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1545295088.627 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295088.627 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1545295088.627 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1545295088.627 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1545295088.627 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1545295088.627 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295088.627 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1545295088.628 * [misc]backup-simplify: Simplify 0 into 0 1545295088.629 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295088.629 * [misc]backup-simplify: Simplify 0 into 0 1545295088.629 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295088.629 * [misc]backup-simplify: Simplify 0 into 0 1545295088.630 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295088.630 * [misc]backup-simplify: Simplify 0 into 0 1545295088.631 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295088.631 * [misc]backup-simplify: Simplify 0 into 0 1545295088.632 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1545295088.632 * [misc]backup-simplify: Simplify 0 into 0 1545295088.632 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295088.632 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1545295088.632 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 1545295088.633 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1545295088.633 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1545295088.633 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1545295088.633 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1545295088.633 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295088.633 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1545295088.633 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1545295088.633 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1545295088.634 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1545295088.634 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295088.634 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1545295088.634 * [misc]backup-simplify: Simplify 0 into 0 1545295088.635 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295088.635 * [misc]backup-simplify: Simplify 0 into 0 1545295088.636 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295088.636 * [misc]backup-simplify: Simplify 0 into 0 1545295088.637 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295088.637 * [misc]backup-simplify: Simplify 0 into 0 1545295088.638 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295088.638 * [misc]backup-simplify: Simplify 0 into 0 1545295088.639 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1545295088.639 * [misc]backup-simplify: Simplify 0 into 0 1545295088.639 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295088.639 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) 1545295088.640 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295088.640 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1545295088.640 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1545295088.640 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295088.640 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1545295088.640 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295088.640 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295088.640 * [misc]backup-simplify: Simplify 0 into 0 1545295088.640 * [misc]backup-simplify: Simplify 0 into 0 1545295088.640 * [misc]backup-simplify: Simplify 0 into 0 1545295088.640 * [misc]backup-simplify: Simplify 0 into 0 1545295088.640 * [misc]backup-simplify: Simplify 0 into 0 1545295088.640 * [misc]backup-simplify: Simplify 0 into 0 1545295088.641 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295088.641 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1545295088.641 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1545295088.641 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1545295088.641 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1545295088.641 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1545295088.641 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1545295088.641 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1545295088.641 * [misc]backup-simplify: Simplify 0 into 0 1545295088.642 * [misc]backup-simplify: Simplify 0 into 0 1545295088.642 * [misc]backup-simplify: Simplify 0 into 0 1545295088.642 * [misc]backup-simplify: Simplify 0 into 0 1545295088.642 * [misc]backup-simplify: Simplify 0 into 0 1545295088.642 * [misc]backup-simplify: Simplify 0 into 0 1545295088.642 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295088.642 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1545295088.642 * [misc]approximate: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1545295088.642 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1545295088.642 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1545295088.642 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1545295088.643 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1545295088.643 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1545295088.643 * [misc]backup-simplify: Simplify 0 into 0 1545295088.643 * [misc]backup-simplify: Simplify 0 into 0 1545295088.643 * [misc]backup-simplify: Simplify 0 into 0 1545295088.643 * [misc]backup-simplify: Simplify 0 into 0 1545295088.643 * [misc]backup-simplify: Simplify 0 into 0 1545295088.643 * [misc]backup-simplify: Simplify 0 into 0 1545295088.643 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1545295088.643 * * * [misc]progress: simplifying candidates 1545295088.643 * * * * [misc]progress: [ 1 / 55 ] simplifiying candidate # 1545295088.643 * * * * [misc]progress: [ 2 / 55 ] simplifiying candidate # 1545295088.644 * * * * [misc]progress: [ 3 / 55 ] simplifiying candidate # 1545295088.644 * * * * [misc]progress: [ 4 / 55 ] simplifiying candidate # 1545295088.644 * * * * [misc]progress: [ 5 / 55 ] simplifiying candidate # 1545295088.644 * * * * [misc]progress: [ 6 / 55 ] simplifiying candidate # 1545295088.644 * * * * [misc]progress: [ 7 / 55 ] simplifiying candidate # 1545295088.644 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295088.644 * * [misc]simplify: iters left: 6 (9 enodes) 1545295088.647 * * [misc]simplify: iters left: 5 (15 enodes) 1545295088.650 * * [misc]simplify: iters left: 4 (22 enodes) 1545295088.657 * * [misc]simplify: iters left: 3 (32 enodes) 1545295088.664 * * [misc]simplify: iters left: 2 (48 enodes) 1545295088.679 * * [misc]simplify: iters left: 1 (49 enodes) 1545295088.688 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1545295088.688 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1545295088.688 * * * * [misc]progress: [ 8 / 55 ] simplifiying candidate # 1545295088.689 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1545295088.689 * * [misc]simplify: iters left: 6 (8 enodes) 1545295088.691 * * [misc]simplify: iters left: 5 (13 enodes) 1545295088.694 * * [misc]simplify: iters left: 4 (20 enodes) 1545295088.700 * * [misc]simplify: iters left: 3 (30 enodes) 1545295088.704 * * [misc]simplify: iters left: 2 (45 enodes) 1545295088.712 * * [misc]simplify: iters left: 1 (46 enodes) 1545295088.715 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1545295088.715 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1545295088.715 * * * * [misc]progress: [ 9 / 55 ] simplifiying candidate # 1545295088.716 * [enter]simplify: Simplifying (sqrt 1) 1545295088.716 * * [misc]simplify: iters left: 1 (2 enodes) 1545295088.717 * [exit]simplify: Simplified to 1 1545295088.717 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1545295088.717 * * * * [misc]progress: [ 10 / 55 ] simplifiying candidate # 1545295088.717 * * * * [misc]progress: [ 11 / 55 ] simplifiying candidate # 1545295088.717 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1545295088.717 * * [misc]simplify: iters left: 6 (7 enodes) 1545295088.718 * * [misc]simplify: iters left: 5 (12 enodes) 1545295088.720 * * [misc]simplify: iters left: 4 (19 enodes) 1545295088.726 * * [misc]simplify: iters left: 3 (29 enodes) 1545295088.733 * * [misc]simplify: iters left: 2 (45 enodes) 1545295088.749 * * [misc]simplify: iters left: 1 (46 enodes) 1545295088.754 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1545295088.755 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (fabs (sqrt (atan2 1 (+ (+ N 1) (* N N))))))) 1545295088.755 * * * * [misc]progress: [ 12 / 55 ] simplifiying candidate # 1545295088.755 * * * * [misc]progress: [ 13 / 55 ] simplifiying candidate # 1545295088.755 * * * * [misc]progress: [ 14 / 55 ] simplifiying candidate # 1545295088.755 * * * * [misc]progress: [ 15 / 55 ] simplifiying candidate # 1545295088.755 * * * * [misc]progress: [ 16 / 55 ] simplifiying candidate # 1545295088.755 * * * * [misc]progress: [ 17 / 55 ] simplifiying candidate # 1545295088.755 * * * * [misc]progress: [ 18 / 55 ] simplifiying candidate # 1545295088.755 * * * * [misc]progress: [ 19 / 55 ] simplifiying candidate # 1545295088.755 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295088.755 * * [misc]simplify: iters left: 6 (9 enodes) 1545295088.758 * * [misc]simplify: iters left: 5 (15 enodes) 1545295088.762 * * [misc]simplify: iters left: 4 (22 enodes) 1545295088.768 * * [misc]simplify: iters left: 3 (32 enodes) 1545295088.771 * * [misc]simplify: iters left: 2 (48 enodes) 1545295088.779 * * [misc]simplify: iters left: 1 (49 enodes) 1545295088.783 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1545295088.783 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295088.783 * * * * [misc]progress: [ 20 / 55 ] simplifiying candidate # 1545295088.783 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1545295088.783 * * [misc]simplify: iters left: 6 (8 enodes) 1545295088.784 * * [misc]simplify: iters left: 5 (13 enodes) 1545295088.786 * * [misc]simplify: iters left: 4 (20 enodes) 1545295088.790 * * [misc]simplify: iters left: 3 (30 enodes) 1545295088.793 * * [misc]simplify: iters left: 2 (45 enodes) 1545295088.808 * * [misc]simplify: iters left: 1 (46 enodes) 1545295088.814 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1545295088.814 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295088.814 * * * * [misc]progress: [ 21 / 55 ] simplifiying candidate # 1545295088.815 * [enter]simplify: Simplifying (sqrt 1) 1545295088.815 * * [misc]simplify: iters left: 1 (2 enodes) 1545295088.816 * [exit]simplify: Simplified to 1 1545295088.816 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295088.816 * * * * [misc]progress: [ 22 / 55 ] simplifiying candidate # 1545295088.816 * * * * [misc]progress: [ 23 / 55 ] simplifiying candidate # 1545295088.817 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1545295088.817 * * [misc]simplify: iters left: 6 (7 enodes) 1545295088.819 * * [misc]simplify: iters left: 5 (12 enodes) 1545295088.822 * * [misc]simplify: iters left: 4 (19 enodes) 1545295088.828 * * [misc]simplify: iters left: 3 (29 enodes) 1545295088.835 * * [misc]simplify: iters left: 2 (45 enodes) 1545295088.851 * * [misc]simplify: iters left: 1 (46 enodes) 1545295088.858 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1545295088.858 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (fabs (sqrt (atan2 1 (+ (+ N 1) (* N N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295088.858 * * * * [misc]progress: [ 24 / 55 ] simplifiying candidate # 1545295088.858 * * * * [misc]progress: [ 25 / 55 ] simplifiying candidate # 1545295088.858 * * * * [misc]progress: [ 26 / 55 ] simplifiying candidate # 1545295088.858 * * * * [misc]progress: [ 27 / 55 ] simplifiying candidate # 1545295088.858 * * * * [misc]progress: [ 28 / 55 ] simplifiying candidate # 1545295088.858 * * * * [misc]progress: [ 29 / 55 ] simplifiying candidate # 1545295088.858 * * * * [misc]progress: [ 30 / 55 ] simplifiying candidate # 1545295088.858 * * * * [misc]progress: [ 31 / 55 ] simplifiying candidate # 1545295088.859 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295088.859 * * [misc]simplify: iters left: 6 (9 enodes) 1545295088.862 * * [misc]simplify: iters left: 5 (15 enodes) 1545295088.865 * * [misc]simplify: iters left: 4 (22 enodes) 1545295088.872 * * [misc]simplify: iters left: 3 (32 enodes) 1545295088.878 * * [misc]simplify: iters left: 2 (48 enodes) 1545295088.885 * * [misc]simplify: iters left: 1 (49 enodes) 1545295088.889 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1545295088.889 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (N) (* (* (sqrt (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295088.889 * * * * [misc]progress: [ 32 / 55 ] simplifiying candidate # 1545295088.889 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1545295088.889 * * [misc]simplify: iters left: 6 (8 enodes) 1545295088.890 * * [misc]simplify: iters left: 5 (13 enodes) 1545295088.892 * * [misc]simplify: iters left: 4 (20 enodes) 1545295088.895 * * [misc]simplify: iters left: 3 (30 enodes) 1545295088.899 * * [misc]simplify: iters left: 2 (45 enodes) 1545295088.907 * * [misc]simplify: iters left: 1 (46 enodes) 1545295088.910 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1545295088.910 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (N) (* (* (sqrt (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295088.910 * * * * [misc]progress: [ 33 / 55 ] simplifiying candidate # 1545295088.911 * [enter]simplify: Simplifying (sqrt 1) 1545295088.911 * * [misc]simplify: iters left: 1 (2 enodes) 1545295088.911 * [exit]simplify: Simplified to 1 1545295088.912 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (N) (* (* (sqrt (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295088.912 * * * * [misc]progress: [ 34 / 55 ] simplifiying candidate # 1545295088.912 * * * * [misc]progress: [ 35 / 55 ] simplifiying candidate # 1545295088.912 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1545295088.912 * * [misc]simplify: iters left: 6 (7 enodes) 1545295088.913 * * [misc]simplify: iters left: 5 (12 enodes) 1545295088.914 * * [misc]simplify: iters left: 4 (19 enodes) 1545295088.919 * * [misc]simplify: iters left: 3 (29 enodes) 1545295088.926 * * [misc]simplify: iters left: 2 (45 enodes) 1545295088.942 * * [misc]simplify: iters left: 1 (46 enodes) 1545295088.949 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1545295088.949 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (N) (* (* (sqrt (fabs (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295088.949 * * * * [misc]progress: [ 36 / 55 ] simplifiying candidate # 1545295088.949 * * * * [misc]progress: [ 37 / 55 ] simplifiying candidate # 1545295088.949 * * * * [misc]progress: [ 38 / 55 ] simplifiying candidate # 1545295088.949 * * * * [misc]progress: [ 39 / 55 ] simplifiying candidate # 1545295088.949 * * * * [misc]progress: [ 40 / 55 ] simplifiying candidate # 1545295088.949 * * * * [misc]progress: [ 41 / 55 ] simplifiying candidate # 1545295088.949 * * * * [misc]progress: [ 42 / 55 ] simplifiying candidate # 1545295088.949 * * * * [misc]progress: [ 43 / 55 ] simplifiying candidate # 1545295088.949 * * * * [misc]progress: [ 44 / 55 ] simplifiying candidate # 1545295088.950 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295088.950 * * [misc]simplify: iters left: 6 (8 enodes) 1545295088.952 * * [misc]simplify: iters left: 5 (15 enodes) 1545295088.956 * * [misc]simplify: iters left: 4 (22 enodes) 1545295088.962 * * [misc]simplify: iters left: 3 (24 enodes) 1545295088.968 * * [misc]simplify: iters left: 2 (30 enodes) 1545295088.977 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1545295088.977 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1545295088.977 * * * * [misc]progress: [ 45 / 55 ] simplifiying candidate # 1545295088.977 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295088.978 * * [misc]simplify: iters left: 6 (8 enodes) 1545295088.980 * * [misc]simplify: iters left: 5 (15 enodes) 1545295088.984 * * [misc]simplify: iters left: 4 (22 enodes) 1545295088.989 * * [misc]simplify: iters left: 3 (24 enodes) 1545295088.995 * * [misc]simplify: iters left: 2 (30 enodes) 1545295089.004 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1545295089.004 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1545295089.004 * * * * [misc]progress: [ 46 / 55 ] simplifiying candidate # 1545295089.004 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295089.004 * * [misc]simplify: iters left: 6 (8 enodes) 1545295089.006 * * [misc]simplify: iters left: 5 (15 enodes) 1545295089.010 * * [misc]simplify: iters left: 4 (22 enodes) 1545295089.016 * * [misc]simplify: iters left: 3 (24 enodes) 1545295089.021 * * [misc]simplify: iters left: 2 (30 enodes) 1545295089.031 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1545295089.031 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1545295089.031 * * * * [misc]progress: [ 47 / 55 ] simplifiying candidate # 1545295089.032 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295089.032 * * [misc]simplify: iters left: 6 (8 enodes) 1545295089.034 * * [misc]simplify: iters left: 5 (15 enodes) 1545295089.038 * * [misc]simplify: iters left: 4 (22 enodes) 1545295089.042 * * [misc]simplify: iters left: 3 (24 enodes) 1545295089.044 * * [misc]simplify: iters left: 2 (30 enodes) 1545295089.049 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1545295089.049 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295089.049 * * * * [misc]progress: [ 48 / 55 ] simplifiying candidate # 1545295089.049 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295089.050 * * [misc]simplify: iters left: 6 (8 enodes) 1545295089.051 * * [misc]simplify: iters left: 5 (15 enodes) 1545295089.053 * * [misc]simplify: iters left: 4 (22 enodes) 1545295089.056 * * [misc]simplify: iters left: 3 (24 enodes) 1545295089.058 * * [misc]simplify: iters left: 2 (30 enodes) 1545295089.063 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1545295089.063 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295089.063 * * * * [misc]progress: [ 49 / 55 ] simplifiying candidate # 1545295089.063 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295089.063 * * [misc]simplify: iters left: 6 (8 enodes) 1545295089.064 * * [misc]simplify: iters left: 5 (15 enodes) 1545295089.066 * * [misc]simplify: iters left: 4 (22 enodes) 1545295089.069 * * [misc]simplify: iters left: 3 (24 enodes) 1545295089.071 * * [misc]simplify: iters left: 2 (30 enodes) 1545295089.076 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1545295089.076 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295089.076 * * * * [misc]progress: [ 50 / 55 ] simplifiying candidate # 1545295089.076 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295089.076 * * [misc]simplify: iters left: 6 (8 enodes) 1545295089.078 * * [misc]simplify: iters left: 5 (15 enodes) 1545295089.082 * * [misc]simplify: iters left: 4 (22 enodes) 1545295089.088 * * [misc]simplify: iters left: 3 (24 enodes) 1545295089.093 * * [misc]simplify: iters left: 2 (30 enodes) 1545295089.102 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1545295089.102 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295089.102 * * * * [misc]progress: [ 51 / 55 ] simplifiying candidate # 1545295089.102 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295089.102 * * [misc]simplify: iters left: 6 (8 enodes) 1545295089.105 * * [misc]simplify: iters left: 5 (15 enodes) 1545295089.109 * * [misc]simplify: iters left: 4 (22 enodes) 1545295089.114 * * [misc]simplify: iters left: 3 (24 enodes) 1545295089.119 * * [misc]simplify: iters left: 2 (30 enodes) 1545295089.127 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1545295089.127 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295089.127 * * * * [misc]progress: [ 52 / 55 ] simplifiying candidate # 1545295089.128 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1545295089.128 * * [misc]simplify: iters left: 6 (8 enodes) 1545295089.130 * * [misc]simplify: iters left: 5 (15 enodes) 1545295089.134 * * [misc]simplify: iters left: 4 (22 enodes) 1545295089.140 * * [misc]simplify: iters left: 3 (24 enodes) 1545295089.146 * * [misc]simplify: iters left: 2 (30 enodes) 1545295089.152 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1545295089.152 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1545295089.152 * * * * [misc]progress: [ 53 / 55 ] simplifiying candidate # 1545295089.152 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1545295089.153 * * [misc]simplify: iters left: 6 (7 enodes) 1545295089.154 * * [misc]simplify: iters left: 5 (14 enodes) 1545295089.155 * * [misc]simplify: iters left: 4 (21 enodes) 1545295089.158 * * [misc]simplify: iters left: 3 (23 enodes) 1545295089.161 * * [misc]simplify: iters left: 2 (29 enodes) 1545295089.164 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1545295089.165 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1545295089.165 * * * * [misc]progress: [ 54 / 55 ] simplifiying candidate # 1545295089.165 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1545295089.165 * * [misc]simplify: iters left: 6 (7 enodes) 1545295089.166 * * [misc]simplify: iters left: 5 (14 enodes) 1545295089.168 * * [misc]simplify: iters left: 4 (21 enodes) 1545295089.170 * * [misc]simplify: iters left: 3 (23 enodes) 1545295089.173 * * [misc]simplify: iters left: 2 (29 enodes) 1545295089.178 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1545295089.178 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1545295089.178 * * * * [misc]progress: [ 55 / 55 ] simplifiying candidate # 1545295089.179 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1545295089.179 * * [misc]simplify: iters left: 6 (7 enodes) 1545295089.181 * * [misc]simplify: iters left: 5 (14 enodes) 1545295089.185 * * [misc]simplify: iters left: 4 (21 enodes) 1545295089.190 * * [misc]simplify: iters left: 3 (23 enodes) 1545295089.195 * * [misc]simplify: iters left: 2 (29 enodes) 1545295089.204 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1545295089.204 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1545295089.204 * * * [misc]progress: adding candidates to table 1545295089.944 * [misc]progress: [Phase 3 of 3] Extracting. 1545295089.944 * * [misc]regime: Finding splitpoints for: (# # # #) 1545295089.944 * * * [misc]regime-changes: Trying 1 branch expressions: (N) 1545295089.944 * * * * [misc]regimes: Trying to branch on N from (# # # #) 1545295089.973 * * * [misc]regime: Found split indices: #