1538725303.361 * [misc]progress: [Phase 1 of 3] Setting up. 1538725303.361 * * * [misc]progress: [1/2] Preparing points 1538725303.361 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1538725303.414 * * * * [misc]points: Filtering points with unrepresentable outputs 1538725303.414 * * * * [exit]points: Sampled 256 points with exact outputs 1538725303.415 * * * [misc]progress: [2/2] Setting up program. 1538725303.422 * [misc]progress: [Phase 2 of 3] Improving. 1538725303.422 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1538725303.423 * * [misc]simplify: iters left: 5 (6 enodes) 1538725303.426 * * [misc]simplify: iters left: 4 (11 enodes) 1538725303.430 * * [misc]simplify: iters left: 3 (12 enodes) 1538725303.434 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1538725303.442 * * [misc]progress: iteration 1 / 4 1538725303.442 * * * [misc]progress: picking best candidate 1538725303.455 * * * * [misc]pick: Picked # 1538725303.455 * * * [misc]progress: localizing error 1538725303.475 * * * [misc]progress: generating rewritten candidates 1538725303.475 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) 1538725303.504 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) 1538725303.505 * * * [misc]progress: generating series expansions 1538725303.505 * * * * [misc]progress: [ 1 / 2 ] generating series at (2) 1538725303.506 * [misc]backup-simplify: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 1538725303.506 * [misc]approximate: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 1538725303.506 * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 1538725303.506 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N 1538725303.506 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1538725303.506 * [misc]taylor: Taking taylor expansion of (atan N) in N 1538725303.506 * [misc]backup-simplify: Simplify (atan N) into (atan N) 1538725303.506 * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 1538725303.506 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N 1538725303.506 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1538725303.506 * [misc]taylor: Taking taylor expansion of (atan N) in N 1538725303.506 * [misc]backup-simplify: Simplify (atan N) into (atan N) 1538725303.506 * [misc]backup-simplify: Simplify (- (atan N)) into (- (atan N)) 1538725303.506 * [misc]backup-simplify: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 1538725303.506 * [misc]backup-simplify: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 1538725303.506 * [misc]backup-simplify: Simplify (- 0) into 0 1538725303.507 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725303.507 * [misc]backup-simplify: Simplify 0 into 0 1538725303.507 * [misc]backup-simplify: Simplify (- 0) into 0 1538725303.507 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725303.507 * [misc]backup-simplify: Simplify 0 into 0 1538725303.507 * [misc]backup-simplify: Simplify (- 0) into 0 1538725303.507 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725303.507 * [misc]backup-simplify: Simplify 0 into 0 1538725303.507 * [misc]backup-simplify: Simplify (- 0) into 0 1538725303.507 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725303.507 * [misc]backup-simplify: Simplify 0 into 0 1538725303.508 * [misc]backup-simplify: Simplify (- 0) into 0 1538725303.508 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725303.508 * [misc]backup-simplify: Simplify 0 into 0 1538725303.508 * [misc]backup-simplify: Simplify (- 0) into 0 1538725303.508 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725303.508 * [misc]backup-simplify: Simplify 0 into 0 1538725303.508 * [misc]backup-simplify: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 1538725303.508 * [misc]backup-simplify: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 1538725303.508 * [misc]approximate: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 1538725303.508 * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 1538725303.508 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 1538725303.508 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1538725303.508 * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N 1538725303.508 * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 1538725303.508 * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 1538725303.508 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 1538725303.508 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1538725303.508 * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N 1538725303.508 * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 1538725303.509 * [misc]backup-simplify: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 1538725303.509 * [misc]backup-simplify: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 1538725303.509 * [misc]backup-simplify: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 1538725303.509 * [misc]backup-simplify: Simplify (- 0) into 0 1538725303.509 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725303.509 * [misc]backup-simplify: Simplify 0 into 0 1538725303.509 * [misc]backup-simplify: Simplify (- 0) into 0 1538725303.509 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725303.509 * [misc]backup-simplify: Simplify 0 into 0 1538725303.509 * [misc]backup-simplify: Simplify (- 0) into 0 1538725303.509 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725303.510 * [misc]backup-simplify: Simplify 0 into 0 1538725303.510 * [misc]backup-simplify: Simplify (- 0) into 0 1538725303.510 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725303.510 * [misc]backup-simplify: Simplify 0 into 0 1538725303.510 * [misc]backup-simplify: Simplify (- 0) into 0 1538725303.510 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725303.510 * [misc]backup-simplify: Simplify 0 into 0 1538725303.510 * [misc]backup-simplify: Simplify (- 0) into 0 1538725303.510 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725303.510 * [misc]backup-simplify: Simplify 0 into 0 1538725303.510 * [misc]backup-simplify: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 1538725303.510 * [misc]backup-simplify: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 1538725303.510 * [misc]approximate: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 1538725303.510 * [misc]taylor: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 1538725303.510 * [misc]taylor: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 1538725303.511 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1538725303.511 * [misc]taylor: Taking taylor expansion of (atan (/ -1 N)) in N 1538725303.511 * [misc]backup-simplify: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 1538725303.511 * [misc]taylor: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 1538725303.511 * [misc]taylor: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 1538725303.511 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1538725303.511 * [misc]taylor: Taking taylor expansion of (atan (/ -1 N)) in N 1538725303.511 * [misc]backup-simplify: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 1538725303.511 * [misc]backup-simplify: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 1538725303.511 * [misc]backup-simplify: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 1538725303.511 * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 1538725303.511 * [misc]backup-simplify: Simplify (- 0) into 0 1538725303.511 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725303.511 * [misc]backup-simplify: Simplify 0 into 0 1538725303.511 * [misc]backup-simplify: Simplify (- 0) into 0 1538725303.512 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725303.512 * [misc]backup-simplify: Simplify 0 into 0 1538725303.512 * [misc]backup-simplify: Simplify (- 0) into 0 1538725303.512 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725303.512 * [misc]backup-simplify: Simplify 0 into 0 1538725303.512 * [misc]backup-simplify: Simplify (- 0) into 0 1538725303.512 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725303.512 * [misc]backup-simplify: Simplify 0 into 0 1538725303.512 * [misc]backup-simplify: Simplify (- 0) into 0 1538725303.512 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725303.512 * [misc]backup-simplify: Simplify 0 into 0 1538725303.512 * [misc]backup-simplify: Simplify (- 0) into 0 1538725303.512 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725303.512 * [misc]backup-simplify: Simplify 0 into 0 1538725303.513 * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 1538725303.513 * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) 1538725303.513 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1538725303.513 * [misc]approximate: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 1538725303.513 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N 1538725303.513 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1538725303.513 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N 1538725303.513 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1538725303.513 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1538725303.513 * [misc]backup-simplify: Simplify 0 into 0 1538725303.513 * [misc]backup-simplify: Simplify 0 into 0 1538725303.513 * [misc]backup-simplify: Simplify 0 into 0 1538725303.513 * [misc]backup-simplify: Simplify 0 into 0 1538725303.513 * [misc]backup-simplify: Simplify 0 into 0 1538725303.513 * [misc]backup-simplify: Simplify 0 into 0 1538725303.513 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1538725303.513 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1538725303.513 * [misc]approximate: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 1538725303.513 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 1538725303.513 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1538725303.513 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 1538725303.514 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1538725303.514 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1538725303.514 * [misc]backup-simplify: Simplify 0 into 0 1538725303.514 * [misc]backup-simplify: Simplify 0 into 0 1538725303.514 * [misc]backup-simplify: Simplify 0 into 0 1538725303.514 * [misc]backup-simplify: Simplify 0 into 0 1538725303.514 * [misc]backup-simplify: Simplify 0 into 0 1538725303.514 * [misc]backup-simplify: Simplify 0 into 0 1538725303.514 * [misc]backup-simplify: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) 1538725303.514 * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) 1538725303.514 * [misc]approximate: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0 1538725303.514 * [misc]taylor: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 1538725303.514 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1538725303.514 * [misc]taylor: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 1538725303.514 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1538725303.514 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1538725303.514 * [misc]backup-simplify: Simplify 0 into 0 1538725303.514 * [misc]backup-simplify: Simplify 0 into 0 1538725303.514 * [misc]backup-simplify: Simplify 0 into 0 1538725303.514 * [misc]backup-simplify: Simplify 0 into 0 1538725303.514 * [misc]backup-simplify: Simplify 0 into 0 1538725303.514 * [misc]backup-simplify: Simplify 0 into 0 1538725303.514 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) 1538725303.514 * * * [misc]progress: simplifying candidates 1538725303.514 * * * * [misc]progress: [ 1 / 28 ] simplifiying candidate # 1538725303.515 * [enter]simplify: Simplifying (- (+ N 1) N) 1538725303.515 * * [misc]simplify: iters left: 4 (4 enodes) 1538725303.516 * * [misc]simplify: iters left: 3 (11 enodes) 1538725303.519 * * [misc]simplify: iters left: 2 (19 enodes) 1538725303.527 * * [misc]simplify: iters left: 1 (25 enodes) 1538725303.529 * [exit]simplify: Simplified to 1 1538725303.529 * [misc]simplify: Simplified (2 1) to (λ (N) (atan2 1 (+ 1 (* (+ N 1) N)))) 1538725303.529 * [enter]simplify: Simplifying (+ 1 (* (+ N 1) N)) 1538725303.529 * * [misc]simplify: iters left: 6 (5 enodes) 1538725303.531 * * [misc]simplify: iters left: 5 (10 enodes) 1538725303.533 * * [misc]simplify: iters left: 4 (17 enodes) 1538725303.537 * * [misc]simplify: iters left: 3 (27 enodes) 1538725303.545 * * [misc]simplify: iters left: 2 (42 enodes) 1538725303.554 * * [misc]simplify: iters left: 1 (43 enodes) 1538725303.557 * [exit]simplify: Simplified to (+ (+ N 1) (* N N)) 1538725303.557 * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ N 1) (* N N)))) 1538725303.557 * * * * [misc]progress: [ 2 / 28 ] simplifiying candidate # 1538725303.558 * [enter]simplify: Simplifying (/ (exp (atan (+ N 1))) (exp (atan N))) 1538725303.558 * * [misc]simplify: iters left: 6 (8 enodes) 1538725303.561 * * [misc]simplify: iters left: 5 (13 enodes) 1538725303.564 * * [misc]simplify: iters left: 4 (15 enodes) 1538725303.569 * * [misc]simplify: iters left: 3 (18 enodes) 1538725303.573 * * [misc]simplify: iters left: 2 (20 enodes) 1538725303.576 * * [misc]simplify: iters left: 1 (24 enodes) 1538725303.582 * [exit]simplify: Simplified to (exp (- (atan (+ 1 N)) (atan N))) 1538725303.582 * [misc]simplify: Simplified (2 1) to (λ (N) (log (exp (- (atan (+ 1 N)) (atan N))))) 1538725303.582 * * * * [misc]progress: [ 3 / 28 ] simplifiying candidate # 1538725303.582 * * * * [misc]progress: [ 4 / 28 ] simplifiying candidate # 1538725303.582 * * * * [misc]progress: [ 5 / 28 ] simplifiying candidate # 1538725303.582 * * * * [misc]progress: [ 6 / 28 ] simplifiying candidate # 1538725303.582 * * * * [misc]progress: [ 7 / 28 ] simplifiying candidate # 1538725303.582 * * * * [misc]progress: [ 8 / 28 ] simplifiying candidate # 1538725303.582 * * * * [misc]progress: [ 9 / 28 ] simplifiying candidate # 1538725303.582 * * * * [misc]progress: [ 10 / 28 ] simplifiying candidate # 1538725303.582 * * * * [misc]progress: [ 11 / 28 ] simplifiying candidate # 1538725303.582 * * * * [misc]progress: [ 12 / 28 ] simplifiying candidate # 1538725303.582 * * * * [misc]progress: [ 13 / 28 ] simplifiying candidate # 1538725303.582 * [enter]simplify: Simplifying (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) 1538725303.583 * * [misc]simplify: iters left: 6 (8 enodes) 1538725303.585 * * [misc]simplify: iters left: 5 (12 enodes) 1538725303.587 * [exit]simplify: Simplified to (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) 1538725303.587 * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) (- (sqrt (atan (+ N 1))) (sqrt (atan N))))) 1538725303.587 * [enter]simplify: Simplifying (- (sqrt (atan (+ N 1))) (sqrt (atan N))) 1538725303.587 * * [misc]simplify: iters left: 6 (8 enodes) 1538725303.589 * * [misc]simplify: iters left: 5 (13 enodes) 1538725303.591 * * [misc]simplify: iters left: 4 (14 enodes) 1538725303.594 * [exit]simplify: Simplified to (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) 1538725303.594 * [misc]simplify: Simplified (2 2) to (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N))))) 1538725303.594 * * * * [misc]progress: [ 14 / 28 ] simplifiying candidate # 1538725303.594 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1538725303.594 * * [misc]simplify: iters left: 5 (6 enodes) 1538725303.596 * * [misc]simplify: iters left: 4 (11 enodes) 1538725303.597 * * [misc]simplify: iters left: 3 (12 enodes) 1538725303.599 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1538725303.600 * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (atan (+ 1 N)) (atan N)))) 1538725303.600 * * * * [misc]progress: [ 15 / 28 ] simplifiying candidate # 1538725303.600 * * * * [misc]progress: [ 16 / 28 ] simplifiying candidate # 1538725303.600 * * * * [misc]progress: [ 17 / 28 ] simplifiying candidate # 1538725303.600 * * * * [misc]progress: [ 18 / 28 ] simplifiying candidate # 1538725303.600 * * * * [misc]progress: [ 19 / 28 ] simplifiying candidate # 1538725303.600 * * * * [misc]progress: [ 20 / 28 ] simplifiying candidate # 1538725303.600 * * * * [misc]progress: [ 21 / 28 ] simplifiying candidate # 1538725303.600 * * * * [misc]progress: [ 22 / 28 ] simplifiying candidate # 1538725303.600 * * * * [misc]progress: [ 23 / 28 ] simplifiying candidate # 1538725303.600 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1538725303.601 * * [misc]simplify: iters left: 5 (6 enodes) 1538725303.603 * * [misc]simplify: iters left: 4 (11 enodes) 1538725303.606 * * [misc]simplify: iters left: 3 (12 enodes) 1538725303.610 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1538725303.610 * [misc]simplify: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1538725303.610 * * * * [misc]progress: [ 24 / 28 ] simplifiying candidate # 1538725303.610 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1538725303.611 * * [misc]simplify: iters left: 5 (6 enodes) 1538725303.613 * * [misc]simplify: iters left: 4 (11 enodes) 1538725303.616 * * [misc]simplify: iters left: 3 (12 enodes) 1538725303.618 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1538725303.618 * [misc]simplify: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1538725303.618 * * * * [misc]progress: [ 25 / 28 ] simplifiying candidate # 1538725303.618 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1538725303.619 * * [misc]simplify: iters left: 5 (6 enodes) 1538725303.620 * * [misc]simplify: iters left: 4 (11 enodes) 1538725303.622 * * [misc]simplify: iters left: 3 (12 enodes) 1538725303.624 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1538725303.624 * [misc]simplify: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1538725303.624 * * * * [misc]progress: [ 26 / 28 ] simplifiying candidate # 1538725303.624 * [enter]simplify: Simplifying (atan (+ N 1)) 1538725303.624 * * [misc]simplify: iters left: 3 (4 enodes) 1538725303.625 * * [misc]simplify: iters left: 2 (7 enodes) 1538725303.626 * [exit]simplify: Simplified to (atan (+ 1 N)) 1538725303.626 * [misc]simplify: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1538725303.626 * * * * [misc]progress: [ 27 / 28 ] simplifiying candidate # 1538725303.626 * [enter]simplify: Simplifying (atan (+ N 1)) 1538725303.626 * * [misc]simplify: iters left: 3 (4 enodes) 1538725303.627 * * [misc]simplify: iters left: 2 (7 enodes) 1538725303.629 * [exit]simplify: Simplified to (atan (+ 1 N)) 1538725303.629 * [misc]simplify: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1538725303.629 * * * * [misc]progress: [ 28 / 28 ] simplifiying candidate # 1538725303.629 * [enter]simplify: Simplifying (atan (+ N 1)) 1538725303.629 * * [misc]simplify: iters left: 3 (4 enodes) 1538725303.632 * * [misc]simplify: iters left: 2 (7 enodes) 1538725303.633 * [exit]simplify: Simplified to (atan (+ 1 N)) 1538725303.633 * [misc]simplify: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1538725303.633 * * * [misc]progress: adding candidates to table 1538725303.985 * * [misc]progress: iteration 2 / 4 1538725303.985 * * * [misc]progress: picking best candidate 1538725303.993 * * * * [misc]pick: Picked # 1538725303.993 * * * [misc]progress: localizing error 1538725304.002 * * * [misc]progress: generating rewritten candidates 1538725304.002 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) 1538725304.004 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2 2) 1538725304.020 * * * [misc]progress: generating series expansions 1538725304.020 * * * * [misc]progress: [ 1 / 2 ] generating series at (2) 1538725304.020 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725304.020 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1538725304.020 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1538725304.020 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725304.021 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1538725304.021 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725304.021 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725304.021 * [misc]backup-simplify: Simplify 0 into 0 1538725304.021 * [misc]backup-simplify: Simplify 0 into 0 1538725304.021 * [misc]backup-simplify: Simplify 0 into 0 1538725304.021 * [misc]backup-simplify: Simplify 0 into 0 1538725304.021 * [misc]backup-simplify: Simplify 0 into 0 1538725304.021 * [misc]backup-simplify: Simplify 0 into 0 1538725304.021 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725304.022 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1538725304.022 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1538725304.022 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1538725304.022 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1538725304.022 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1538725304.022 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1538725304.022 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1538725304.023 * [misc]backup-simplify: Simplify 0 into 0 1538725304.023 * [misc]backup-simplify: Simplify 0 into 0 1538725304.023 * [misc]backup-simplify: Simplify 0 into 0 1538725304.023 * [misc]backup-simplify: Simplify 0 into 0 1538725304.023 * [misc]backup-simplify: Simplify 0 into 0 1538725304.023 * [misc]backup-simplify: Simplify 0 into 0 1538725304.023 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725304.023 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1538725304.024 * [misc]approximate: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1538725304.024 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1538725304.024 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1538725304.024 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1538725304.024 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1538725304.024 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1538725304.024 * [misc]backup-simplify: Simplify 0 into 0 1538725304.024 * [misc]backup-simplify: Simplify 0 into 0 1538725304.024 * [misc]backup-simplify: Simplify 0 into 0 1538725304.025 * [misc]backup-simplify: Simplify 0 into 0 1538725304.025 * [misc]backup-simplify: Simplify 0 into 0 1538725304.025 * [misc]backup-simplify: Simplify 0 into 0 1538725304.025 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725304.025 * * * * [misc]progress: [ 2 / 2 ] generating series at (2 2 2) 1538725304.025 * [misc]backup-simplify: Simplify (* (+ N 1) N) into (* (+ N 1) N) 1538725304.025 * [misc]approximate: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 1538725304.025 * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N 1538725304.025 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1538725304.025 * [misc]taylor: Taking taylor expansion of N in N 1538725304.025 * [misc]backup-simplify: Simplify 0 into 0 1538725304.026 * [misc]backup-simplify: Simplify 1 into 1 1538725304.026 * [misc]taylor: Taking taylor expansion of 1 in N 1538725304.026 * [misc]backup-simplify: Simplify 1 into 1 1538725304.026 * [misc]taylor: Taking taylor expansion of N in N 1538725304.026 * [misc]backup-simplify: Simplify 0 into 0 1538725304.026 * [misc]backup-simplify: Simplify 1 into 1 1538725304.026 * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N 1538725304.026 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1538725304.026 * [misc]taylor: Taking taylor expansion of N in N 1538725304.026 * [misc]backup-simplify: Simplify 0 into 0 1538725304.026 * [misc]backup-simplify: Simplify 1 into 1 1538725304.026 * [misc]taylor: Taking taylor expansion of 1 in N 1538725304.026 * [misc]backup-simplify: Simplify 1 into 1 1538725304.026 * [misc]taylor: Taking taylor expansion of N in N 1538725304.026 * [misc]backup-simplify: Simplify 0 into 0 1538725304.026 * [misc]backup-simplify: Simplify 1 into 1 1538725304.026 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1538725304.026 * [misc]backup-simplify: Simplify (* 1 0) into 0 1538725304.026 * [misc]backup-simplify: Simplify 0 into 0 1538725304.027 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1538725304.027 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 1538725304.027 * [misc]backup-simplify: Simplify 1 into 1 1538725304.027 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725304.027 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 1538725304.027 * [misc]backup-simplify: Simplify 1 into 1 1538725304.028 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725304.028 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1538725304.028 * [misc]backup-simplify: Simplify 0 into 0 1538725304.028 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725304.029 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1538725304.029 * [misc]backup-simplify: Simplify 0 into 0 1538725304.029 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725304.029 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1538725304.029 * [misc]backup-simplify: Simplify 0 into 0 1538725304.029 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725304.030 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1538725304.030 * [misc]backup-simplify: Simplify 0 into 0 1538725304.030 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725304.031 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1538725304.031 * [misc]backup-simplify: Simplify 0 into 0 1538725304.031 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725304.032 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 1538725304.032 * [misc]backup-simplify: Simplify 0 into 0 1538725304.032 * [misc]backup-simplify: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 1538725304.032 * [misc]backup-simplify: Simplify (* (+ (/ 1 N) 1) (/ 1 N)) into (/ (+ (/ 1 N) 1) N) 1538725304.032 * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 1538725304.032 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 1538725304.032 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1538725304.032 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1538725304.032 * [misc]taylor: Taking taylor expansion of N in N 1538725304.032 * [misc]backup-simplify: Simplify 0 into 0 1538725304.032 * [misc]backup-simplify: Simplify 1 into 1 1538725304.032 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538725304.032 * [misc]taylor: Taking taylor expansion of 1 in N 1538725304.032 * [misc]backup-simplify: Simplify 1 into 1 1538725304.033 * [misc]taylor: Taking taylor expansion of N in N 1538725304.033 * [misc]backup-simplify: Simplify 0 into 0 1538725304.033 * [misc]backup-simplify: Simplify 1 into 1 1538725304.033 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1538725304.033 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538725304.033 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 1538725304.033 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1538725304.033 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1538725304.033 * [misc]taylor: Taking taylor expansion of N in N 1538725304.033 * [misc]backup-simplify: Simplify 0 into 0 1538725304.033 * [misc]backup-simplify: Simplify 1 into 1 1538725304.033 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538725304.033 * [misc]taylor: Taking taylor expansion of 1 in N 1538725304.033 * [misc]backup-simplify: Simplify 1 into 1 1538725304.033 * [misc]taylor: Taking taylor expansion of N in N 1538725304.033 * [misc]backup-simplify: Simplify 0 into 0 1538725304.033 * [misc]backup-simplify: Simplify 1 into 1 1538725304.034 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1538725304.034 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538725304.034 * [misc]backup-simplify: Simplify 1 into 1 1538725304.034 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538725304.034 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1538725304.035 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1538725304.035 * [misc]backup-simplify: Simplify 1 into 1 1538725304.035 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538725304.035 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725304.035 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1538725304.035 * [misc]backup-simplify: Simplify 0 into 0 1538725304.036 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538725304.036 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725304.036 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538725304.036 * [misc]backup-simplify: Simplify 0 into 0 1538725304.037 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538725304.037 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725304.038 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538725304.038 * [misc]backup-simplify: Simplify 0 into 0 1538725304.038 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538725304.038 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725304.042 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538725304.043 * [misc]backup-simplify: Simplify 0 into 0 1538725304.043 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538725304.043 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725304.044 * [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 1538725304.044 * [misc]backup-simplify: Simplify 0 into 0 1538725304.044 * [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 1538725304.044 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725304.045 * [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 1538725304.045 * [misc]backup-simplify: Simplify 0 into 0 1538725304.045 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 1538725304.045 * [misc]backup-simplify: Simplify (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N)) 1538725304.045 * [misc]approximate: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0 1538725304.045 * [misc]taylor: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 1538725304.045 * [misc]taylor: Taking taylor expansion of -1 in N 1538725304.045 * [misc]backup-simplify: Simplify -1 into -1 1538725304.045 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 1538725304.045 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1538725304.045 * [misc]taylor: Taking taylor expansion of 1 in N 1538725304.045 * [misc]backup-simplify: Simplify 1 into 1 1538725304.045 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1538725304.045 * [misc]taylor: Taking taylor expansion of N in N 1538725304.045 * [misc]backup-simplify: Simplify 0 into 0 1538725304.045 * [misc]backup-simplify: Simplify 1 into 1 1538725304.045 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538725304.045 * [misc]taylor: Taking taylor expansion of N in N 1538725304.045 * [misc]backup-simplify: Simplify 0 into 0 1538725304.045 * [misc]backup-simplify: Simplify 1 into 1 1538725304.046 * [misc]backup-simplify: Simplify (- 1) into -1 1538725304.046 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1538725304.046 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538725304.046 * [misc]taylor: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 1538725304.046 * [misc]taylor: Taking taylor expansion of -1 in N 1538725304.046 * [misc]backup-simplify: Simplify -1 into -1 1538725304.046 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 1538725304.046 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1538725304.046 * [misc]taylor: Taking taylor expansion of 1 in N 1538725304.046 * [misc]backup-simplify: Simplify 1 into 1 1538725304.046 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1538725304.046 * [misc]taylor: Taking taylor expansion of N in N 1538725304.046 * [misc]backup-simplify: Simplify 0 into 0 1538725304.046 * [misc]backup-simplify: Simplify 1 into 1 1538725304.046 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538725304.046 * [misc]taylor: Taking taylor expansion of N in N 1538725304.046 * [misc]backup-simplify: Simplify 0 into 0 1538725304.046 * [misc]backup-simplify: Simplify 1 into 1 1538725304.046 * [misc]backup-simplify: Simplify (- 1) into -1 1538725304.046 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1538725304.046 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538725304.047 * [misc]backup-simplify: Simplify (* -1 -1) into 1 1538725304.047 * [misc]backup-simplify: Simplify 1 into 1 1538725304.047 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538725304.047 * [misc]backup-simplify: Simplify (- 0) into 0 1538725304.047 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1538725304.047 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 1538725304.047 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 -1)) into -1 1538725304.047 * [misc]backup-simplify: Simplify -1 into -1 1538725304.047 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538725304.048 * [misc]backup-simplify: Simplify (- 0) into 0 1538725304.048 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725304.048 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1538725304.048 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 1538725304.048 * [misc]backup-simplify: Simplify 0 into 0 1538725304.049 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538725304.049 * [misc]backup-simplify: Simplify (- 0) into 0 1538725304.049 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725304.049 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538725304.049 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 1538725304.049 * [misc]backup-simplify: Simplify 0 into 0 1538725304.050 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538725304.050 * [misc]backup-simplify: Simplify (- 0) into 0 1538725304.050 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725304.050 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538725304.050 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1538725304.050 * [misc]backup-simplify: Simplify 0 into 0 1538725304.051 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538725304.051 * [misc]backup-simplify: Simplify (- 0) into 0 1538725304.051 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725304.051 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538725304.051 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1538725304.051 * [misc]backup-simplify: Simplify 0 into 0 1538725304.052 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538725304.052 * [misc]backup-simplify: Simplify (- 0) into 0 1538725304.052 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725304.052 * [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 1538725304.053 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1538725304.053 * [misc]backup-simplify: Simplify 0 into 0 1538725304.053 * [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 1538725304.053 * [misc]backup-simplify: Simplify (- 0) into 0 1538725304.053 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538725304.054 * [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 1538725304.054 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1538725304.054 * [misc]backup-simplify: Simplify 0 into 0 1538725304.054 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2)) 1538725304.054 * * * [misc]progress: simplifying candidates 1538725304.054 * * * * [misc]progress: [ 1 / 26 ] simplifiying candidate # 1538725304.054 * * * * [misc]progress: [ 2 / 26 ] simplifiying candidate # 1538725304.054 * * * * [misc]progress: [ 3 / 26 ] simplifiying candidate # 1538725304.055 * * * * [misc]progress: [ 4 / 26 ] simplifiying candidate # 1538725304.055 * * * * [misc]progress: [ 5 / 26 ] simplifiying candidate # 1538725304.055 * * * * [misc]progress: [ 6 / 26 ] simplifiying candidate # 1538725304.055 * * * * [misc]progress: [ 7 / 26 ] simplifiying candidate # 1538725304.055 * * * * [misc]progress: [ 8 / 26 ] simplifiying candidate # 1538725304.055 * * * * [misc]progress: [ 9 / 26 ] simplifiying candidate # 1538725304.055 * * * * [misc]progress: [ 10 / 26 ] simplifiying candidate # 1538725304.055 * * * * [misc]progress: [ 11 / 26 ] simplifiying candidate # 1538725304.055 * * * * [misc]progress: [ 12 / 26 ] simplifiying candidate # 1538725304.055 * * * * [misc]progress: [ 13 / 26 ] simplifiying candidate # 1538725304.055 * * * * [misc]progress: [ 14 / 26 ] simplifiying candidate # 1538725304.055 * * * * [misc]progress: [ 15 / 26 ] simplifiying candidate # 1538725304.055 * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1538725304.055 * * [misc]simplify: iters left: 5 (5 enodes) 1538725304.056 * * [misc]simplify: iters left: 4 (8 enodes) 1538725304.058 * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1538725304.058 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ N 1)) N))))) 1538725304.058 * * * * [misc]progress: [ 16 / 26 ] simplifiying candidate # 1538725304.058 * [enter]simplify: Simplifying (sqrt (+ N 1)) 1538725304.058 * * [misc]simplify: iters left: 3 (4 enodes) 1538725304.059 * * [misc]simplify: iters left: 2 (7 enodes) 1538725304.060 * [exit]simplify: Simplified to (sqrt (+ 1 N)) 1538725304.060 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (sqrt (+ 1 N)) (* (sqrt (+ N 1)) N))))) 1538725304.060 * * * * [misc]progress: [ 17 / 26 ] simplifiying candidate # 1538725304.060 * * * * [misc]progress: [ 18 / 26 ] simplifiying candidate # 1538725304.060 * [enter]simplify: Simplifying (* (+ (pow N 3) (pow 1 3)) N) 1538725304.061 * * [misc]simplify: iters left: 5 (7 enodes) 1538725304.063 * * [misc]simplify: iters left: 4 (16 enodes) 1538725304.066 * * [misc]simplify: iters left: 3 (26 enodes) 1538725304.076 * * [misc]simplify: iters left: 2 (32 enodes) 1538725304.084 * [exit]simplify: Simplified to (+ N (pow N 4)) 1538725304.084 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (/ (+ N (pow N 4)) (+ (* N N) (- (* 1 1) (* N 1))))))) 1538725304.084 * * * * [misc]progress: [ 19 / 26 ] simplifiying candidate # 1538725304.084 * [enter]simplify: Simplifying (* (- (* N N) (* 1 1)) N) 1538725304.085 * * [misc]simplify: iters left: 6 (6 enodes) 1538725304.088 * * [misc]simplify: iters left: 5 (12 enodes) 1538725304.090 * * [misc]simplify: iters left: 4 (15 enodes) 1538725304.093 * * [misc]simplify: iters left: 3 (22 enodes) 1538725304.099 * * [misc]simplify: iters left: 2 (56 enodes) 1538725304.125 * * [misc]simplify: iters left: 1 (136 enodes) 1538725304.206 * [exit]simplify: Simplified to (- (pow N 3) N) 1538725304.206 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (/ (- (pow N 3) N) (- N 1))))) 1538725304.206 * * * * [misc]progress: [ 20 / 26 ] simplifiying candidate # 1538725304.206 * * * * [misc]progress: [ 21 / 26 ] simplifiying candidate # 1538725304.207 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1538725304.207 * * [misc]simplify: iters left: 6 (7 enodes) 1538725304.214 * * [misc]simplify: iters left: 5 (14 enodes) 1538725304.217 * * [misc]simplify: iters left: 4 (21 enodes) 1538725304.221 * * [misc]simplify: iters left: 3 (23 enodes) 1538725304.224 * * [misc]simplify: iters left: 2 (29 enodes) 1538725304.229 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1538725304.229 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1538725304.229 * * * * [misc]progress: [ 22 / 26 ] simplifiying candidate # 1538725304.229 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1538725304.230 * * [misc]simplify: iters left: 6 (7 enodes) 1538725304.232 * * [misc]simplify: iters left: 5 (14 enodes) 1538725304.234 * * [misc]simplify: iters left: 4 (21 enodes) 1538725304.237 * * [misc]simplify: iters left: 3 (23 enodes) 1538725304.241 * * [misc]simplify: iters left: 2 (29 enodes) 1538725304.246 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1538725304.246 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1538725304.246 * * * * [misc]progress: [ 23 / 26 ] simplifiying candidate # 1538725304.246 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1538725304.246 * * [misc]simplify: iters left: 6 (7 enodes) 1538725304.248 * * [misc]simplify: iters left: 5 (14 enodes) 1538725304.251 * * [misc]simplify: iters left: 4 (21 enodes) 1538725304.254 * * [misc]simplify: iters left: 3 (23 enodes) 1538725304.258 * * [misc]simplify: iters left: 2 (29 enodes) 1538725304.263 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1538725304.263 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1538725304.263 * * * * [misc]progress: [ 24 / 26 ] simplifiying candidate # 1538725304.263 * [enter]simplify: Simplifying (+ N (pow N 2)) 1538725304.263 * * [misc]simplify: iters left: 3 (4 enodes) 1538725304.265 * * [misc]simplify: iters left: 2 (6 enodes) 1538725304.267 * * [misc]simplify: iters left: 1 (9 enodes) 1538725304.271 * [exit]simplify: Simplified to (+ N (* N N)) 1538725304.271 * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N))))) 1538725304.271 * * * * [misc]progress: [ 25 / 26 ] simplifiying candidate # 1538725304.271 * [enter]simplify: Simplifying (+ N (pow N 2)) 1538725304.272 * * [misc]simplify: iters left: 3 (4 enodes) 1538725304.273 * * [misc]simplify: iters left: 2 (6 enodes) 1538725304.276 * * [misc]simplify: iters left: 1 (9 enodes) 1538725304.279 * [exit]simplify: Simplified to (+ N (* N N)) 1538725304.279 * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N))))) 1538725304.279 * * * * [misc]progress: [ 26 / 26 ] simplifiying candidate # 1538725304.280 * [enter]simplify: Simplifying (+ N (pow N 2)) 1538725304.280 * * [misc]simplify: iters left: 3 (4 enodes) 1538725304.282 * * [misc]simplify: iters left: 2 (6 enodes) 1538725304.284 * * [misc]simplify: iters left: 1 (9 enodes) 1538725304.288 * [exit]simplify: Simplified to (+ N (* N N)) 1538725304.288 * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N))))) 1538725304.288 * * * [misc]progress: adding candidates to table 1538725304.724 * * [misc]progress: iteration 3 / 4 1538725304.724 * * * [misc]progress: picking best candidate 1538725304.769 * * * * [misc]pick: Picked # 1538725304.769 * * * [misc]progress: localizing error 1538725304.783 * * * [misc]progress: generating rewritten candidates 1538725304.783 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) 1538725304.788 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1538725304.793 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1538725304.843 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) 1538725304.844 * * * [misc]progress: generating series expansions 1538725304.844 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) 1538725304.844 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725304.844 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 1538725304.844 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1538725304.844 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1538725304.844 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725304.844 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725304.844 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725304.844 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1538725304.844 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1538725304.845 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725304.845 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725304.845 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725304.845 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725304.845 * [misc]backup-simplify: Simplify 0 into 0 1538725304.846 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725304.846 * [misc]backup-simplify: Simplify 0 into 0 1538725304.846 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725304.846 * [misc]backup-simplify: Simplify 0 into 0 1538725304.847 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725304.847 * [misc]backup-simplify: Simplify 0 into 0 1538725304.847 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725304.847 * [misc]backup-simplify: Simplify 0 into 0 1538725304.848 * [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 1538725304.848 * [misc]backup-simplify: Simplify 0 into 0 1538725304.848 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725304.848 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1538725304.848 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 1538725304.848 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1538725304.848 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1538725304.848 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1538725304.848 * [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)))) 1538725304.849 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725304.849 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1538725304.849 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1538725304.849 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1538725304.849 * [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)))) 1538725304.849 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725304.849 * [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)))) 1538725304.849 * [misc]backup-simplify: Simplify 0 into 0 1538725304.850 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725304.850 * [misc]backup-simplify: Simplify 0 into 0 1538725304.850 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725304.850 * [misc]backup-simplify: Simplify 0 into 0 1538725304.851 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725304.851 * [misc]backup-simplify: Simplify 0 into 0 1538725304.851 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725304.851 * [misc]backup-simplify: Simplify 0 into 0 1538725304.852 * [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 1538725304.852 * [misc]backup-simplify: Simplify 0 into 0 1538725304.852 * [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)))) 1538725304.852 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1538725304.852 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 1538725304.852 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1538725304.852 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1538725304.853 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1538725304.853 * [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)))) 1538725304.853 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725304.853 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1538725304.853 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1538725304.853 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1538725304.853 * [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)))) 1538725304.853 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725304.854 * [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)))) 1538725304.854 * [misc]backup-simplify: Simplify 0 into 0 1538725304.854 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725304.854 * [misc]backup-simplify: Simplify 0 into 0 1538725304.854 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725304.855 * [misc]backup-simplify: Simplify 0 into 0 1538725304.855 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725304.855 * [misc]backup-simplify: Simplify 0 into 0 1538725304.856 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725304.856 * [misc]backup-simplify: Simplify 0 into 0 1538725304.856 * [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 1538725304.856 * [misc]backup-simplify: Simplify 0 into 0 1538725304.857 * [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)))) 1538725304.857 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1538725304.857 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725304.857 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 1538725304.857 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1538725304.857 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1538725304.857 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725304.857 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725304.857 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725304.857 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1538725304.857 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1538725304.857 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725304.857 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725304.858 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725304.858 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725304.858 * [misc]backup-simplify: Simplify 0 into 0 1538725304.859 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725304.859 * [misc]backup-simplify: Simplify 0 into 0 1538725304.859 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725304.859 * [misc]backup-simplify: Simplify 0 into 0 1538725304.860 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725304.860 * [misc]backup-simplify: Simplify 0 into 0 1538725304.860 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725304.860 * [misc]backup-simplify: Simplify 0 into 0 1538725304.861 * [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 1538725304.861 * [misc]backup-simplify: Simplify 0 into 0 1538725304.861 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725304.861 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1538725304.861 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 1538725304.861 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1538725304.861 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1538725304.861 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1538725304.861 * [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)))) 1538725304.861 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725304.862 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1538725304.862 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1538725304.862 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1538725304.862 * [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)))) 1538725304.862 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725304.862 * [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)))) 1538725304.862 * [misc]backup-simplify: Simplify 0 into 0 1538725304.863 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725304.863 * [misc]backup-simplify: Simplify 0 into 0 1538725304.863 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725304.863 * [misc]backup-simplify: Simplify 0 into 0 1538725304.864 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725304.864 * [misc]backup-simplify: Simplify 0 into 0 1538725304.864 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725304.864 * [misc]backup-simplify: Simplify 0 into 0 1538725304.865 * [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 1538725304.865 * [misc]backup-simplify: Simplify 0 into 0 1538725304.865 * [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)))) 1538725304.865 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1538725304.865 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 1538725304.865 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1538725304.865 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1538725304.866 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1538725304.866 * [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)))) 1538725304.866 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725304.866 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1538725304.866 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1538725304.866 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1538725304.866 * [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)))) 1538725304.866 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725304.866 * [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)))) 1538725304.866 * [misc]backup-simplify: Simplify 0 into 0 1538725304.867 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725304.867 * [misc]backup-simplify: Simplify 0 into 0 1538725304.867 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725304.867 * [misc]backup-simplify: Simplify 0 into 0 1538725304.868 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725304.868 * [misc]backup-simplify: Simplify 0 into 0 1538725304.869 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725304.869 * [misc]backup-simplify: Simplify 0 into 0 1538725304.869 * [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 1538725304.869 * [misc]backup-simplify: Simplify 0 into 0 1538725304.870 * [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)))) 1538725304.870 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1538725304.870 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725304.870 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1538725304.870 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1538725304.870 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725304.870 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1538725304.870 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725304.870 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725304.870 * [misc]backup-simplify: Simplify 0 into 0 1538725304.870 * [misc]backup-simplify: Simplify 0 into 0 1538725304.870 * [misc]backup-simplify: Simplify 0 into 0 1538725304.870 * [misc]backup-simplify: Simplify 0 into 0 1538725304.870 * [misc]backup-simplify: Simplify 0 into 0 1538725304.871 * [misc]backup-simplify: Simplify 0 into 0 1538725304.871 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725304.871 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1538725304.871 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1538725304.871 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1538725304.871 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1538725304.871 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1538725304.871 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1538725304.871 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1538725304.871 * [misc]backup-simplify: Simplify 0 into 0 1538725304.872 * [misc]backup-simplify: Simplify 0 into 0 1538725304.872 * [misc]backup-simplify: Simplify 0 into 0 1538725304.872 * [misc]backup-simplify: Simplify 0 into 0 1538725304.872 * [misc]backup-simplify: Simplify 0 into 0 1538725304.872 * [misc]backup-simplify: Simplify 0 into 0 1538725304.872 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725304.873 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1538725304.873 * [misc]approximate: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1538725304.873 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1538725304.873 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1538725304.873 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1538725304.873 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1538725304.873 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1538725304.874 * [misc]backup-simplify: Simplify 0 into 0 1538725304.874 * [misc]backup-simplify: Simplify 0 into 0 1538725304.874 * [misc]backup-simplify: Simplify 0 into 0 1538725304.874 * [misc]backup-simplify: Simplify 0 into 0 1538725304.874 * [misc]backup-simplify: Simplify 0 into 0 1538725304.874 * [misc]backup-simplify: Simplify 0 into 0 1538725304.874 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725304.874 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) 1538725304.875 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725304.875 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1538725304.875 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1538725304.875 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725304.875 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1538725304.875 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725304.875 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725304.875 * [misc]backup-simplify: Simplify 0 into 0 1538725304.875 * [misc]backup-simplify: Simplify 0 into 0 1538725304.875 * [misc]backup-simplify: Simplify 0 into 0 1538725304.875 * [misc]backup-simplify: Simplify 0 into 0 1538725304.875 * [misc]backup-simplify: Simplify 0 into 0 1538725304.876 * [misc]backup-simplify: Simplify 0 into 0 1538725304.876 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725304.876 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1538725304.876 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1538725304.876 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1538725304.876 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1538725304.876 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1538725304.876 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1538725304.877 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1538725304.877 * [misc]backup-simplify: Simplify 0 into 0 1538725304.877 * [misc]backup-simplify: Simplify 0 into 0 1538725304.877 * [misc]backup-simplify: Simplify 0 into 0 1538725304.877 * [misc]backup-simplify: Simplify 0 into 0 1538725304.877 * [misc]backup-simplify: Simplify 0 into 0 1538725304.877 * [misc]backup-simplify: Simplify 0 into 0 1538725304.877 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725304.878 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1538725304.878 * [misc]approximate: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1538725304.878 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1538725304.878 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1538725304.879 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1538725304.879 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1538725304.879 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1538725304.879 * [misc]backup-simplify: Simplify 0 into 0 1538725304.879 * [misc]backup-simplify: Simplify 0 into 0 1538725304.879 * [misc]backup-simplify: Simplify 0 into 0 1538725304.879 * [misc]backup-simplify: Simplify 0 into 0 1538725304.879 * [misc]backup-simplify: Simplify 0 into 0 1538725304.879 * [misc]backup-simplify: Simplify 0 into 0 1538725304.880 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725304.880 * * * [misc]progress: simplifying candidates 1538725304.880 * * * * [misc]progress: [ 1 / 73 ] simplifiying candidate # 1538725304.880 * * * * [misc]progress: [ 2 / 73 ] simplifiying candidate # 1538725304.880 * * * * [misc]progress: [ 3 / 73 ] simplifiying candidate # 1538725304.880 * * * * [misc]progress: [ 4 / 73 ] simplifiying candidate # 1538725304.880 * * * * [misc]progress: [ 5 / 73 ] simplifiying candidate # 1538725304.881 * * * * [misc]progress: [ 6 / 73 ] simplifiying candidate # 1538725304.881 * * * * [misc]progress: [ 7 / 73 ] simplifiying candidate # 1538725304.881 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1538725304.882 * * [misc]simplify: iters left: 6 (9 enodes) 1538725304.886 * * [misc]simplify: iters left: 5 (15 enodes) 1538725304.892 * * [misc]simplify: iters left: 4 (22 enodes) 1538725304.898 * * [misc]simplify: iters left: 3 (32 enodes) 1538725304.904 * * [misc]simplify: iters left: 2 (48 enodes) 1538725304.913 * * [misc]simplify: iters left: 1 (49 enodes) 1538725304.918 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1538725304.918 * [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)))))))) 1538725304.918 * * * * [misc]progress: [ 8 / 73 ] simplifiying candidate # 1538725304.918 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1538725304.919 * * [misc]simplify: iters left: 6 (8 enodes) 1538725304.923 * * [misc]simplify: iters left: 5 (13 enodes) 1538725304.927 * * [misc]simplify: iters left: 4 (20 enodes) 1538725304.934 * * [misc]simplify: iters left: 3 (30 enodes) 1538725304.939 * * [misc]simplify: iters left: 2 (45 enodes) 1538725304.948 * * [misc]simplify: iters left: 1 (46 enodes) 1538725304.952 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1538725304.952 * [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)))))))) 1538725304.952 * * * * [misc]progress: [ 9 / 73 ] simplifiying candidate # 1538725304.953 * [enter]simplify: Simplifying (sqrt 1) 1538725304.953 * * [misc]simplify: iters left: 1 (2 enodes) 1538725304.954 * [exit]simplify: Simplified to 1 1538725304.954 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1538725304.954 * * * * [misc]progress: [ 10 / 73 ] simplifiying candidate # 1538725304.954 * * * * [misc]progress: [ 11 / 73 ] simplifiying candidate # 1538725304.954 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1538725304.954 * * [misc]simplify: iters left: 6 (7 enodes) 1538725304.956 * * [misc]simplify: iters left: 5 (12 enodes) 1538725304.959 * * [misc]simplify: iters left: 4 (19 enodes) 1538725304.966 * * [misc]simplify: iters left: 3 (29 enodes) 1538725304.975 * * [misc]simplify: iters left: 2 (45 enodes) 1538725304.992 * * [misc]simplify: iters left: 1 (46 enodes) 1538725305.000 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1538725305.000 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (fabs (sqrt (atan2 1 (+ (+ N 1) (* N N))))))) 1538725305.000 * * * * [misc]progress: [ 12 / 73 ] simplifiying candidate # 1538725305.000 * * * * [misc]progress: [ 13 / 73 ] simplifiying candidate # 1538725305.000 * * * * [misc]progress: [ 14 / 73 ] simplifiying candidate # 1538725305.000 * * * * [misc]progress: [ 15 / 73 ] simplifiying candidate # 1538725305.000 * * * * [misc]progress: [ 16 / 73 ] simplifiying candidate # 1538725305.000 * * * * [misc]progress: [ 17 / 73 ] simplifiying candidate # 1538725305.001 * * * * [misc]progress: [ 18 / 73 ] simplifiying candidate # 1538725305.001 * * * * [misc]progress: [ 19 / 73 ] simplifiying candidate # 1538725305.001 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1538725305.002 * * [misc]simplify: iters left: 6 (9 enodes) 1538725305.006 * * [misc]simplify: iters left: 5 (15 enodes) 1538725305.011 * * [misc]simplify: iters left: 4 (22 enodes) 1538725305.020 * * [misc]simplify: iters left: 3 (32 enodes) 1538725305.034 * * [misc]simplify: iters left: 2 (48 enodes) 1538725305.053 * * [misc]simplify: iters left: 1 (49 enodes) 1538725305.063 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1538725305.063 * [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)))))) 1538725305.063 * * * * [misc]progress: [ 20 / 73 ] simplifiying candidate # 1538725305.063 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1538725305.064 * * [misc]simplify: iters left: 6 (8 enodes) 1538725305.067 * * [misc]simplify: iters left: 5 (13 enodes) 1538725305.072 * * [misc]simplify: iters left: 4 (20 enodes) 1538725305.081 * * [misc]simplify: iters left: 3 (30 enodes) 1538725305.091 * * [misc]simplify: iters left: 2 (45 enodes) 1538725305.109 * * [misc]simplify: iters left: 1 (46 enodes) 1538725305.117 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1538725305.118 * [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)))))) 1538725305.118 * * * * [misc]progress: [ 21 / 73 ] simplifiying candidate # 1538725305.118 * [enter]simplify: Simplifying (sqrt 1) 1538725305.118 * * [misc]simplify: iters left: 1 (2 enodes) 1538725305.120 * [exit]simplify: Simplified to 1 1538725305.120 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1538725305.120 * * * * [misc]progress: [ 22 / 73 ] simplifiying candidate # 1538725305.120 * * * * [misc]progress: [ 23 / 73 ] simplifiying candidate # 1538725305.120 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1538725305.121 * * [misc]simplify: iters left: 6 (7 enodes) 1538725305.124 * * [misc]simplify: iters left: 5 (12 enodes) 1538725305.128 * * [misc]simplify: iters left: 4 (19 enodes) 1538725305.132 * * [misc]simplify: iters left: 3 (29 enodes) 1538725305.138 * * [misc]simplify: iters left: 2 (45 enodes) 1538725305.147 * * [misc]simplify: iters left: 1 (46 enodes) 1538725305.152 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1538725305.152 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (fabs (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1538725305.152 * * * * [misc]progress: [ 24 / 73 ] simplifiying candidate # 1538725305.152 * * * * [misc]progress: [ 25 / 73 ] simplifiying candidate # 1538725305.152 * [enter]simplify: Simplifying (atan2 1 (+ 1 (* (+ N 1) N))) 1538725305.153 * * [misc]simplify: iters left: 6 (6 enodes) 1538725305.154 * * [misc]simplify: iters left: 5 (11 enodes) 1538725305.157 * * [misc]simplify: iters left: 4 (18 enodes) 1538725305.161 * * [misc]simplify: iters left: 3 (28 enodes) 1538725305.166 * * [misc]simplify: iters left: 2 (44 enodes) 1538725305.181 * * [misc]simplify: iters left: 1 (45 enodes) 1538725305.189 * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (* N N))) 1538725305.189 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N 1) (* N N))) (+ 1/2 1/2))) 1538725305.189 * [enter]simplify: Simplifying (+ 1/2 1/2) 1538725305.189 * * [misc]simplify: iters left: 2 (2 enodes) 1538725305.191 * * [misc]simplify: iters left: 1 (3 enodes) 1538725305.192 * [exit]simplify: Simplified to 1 1538725305.192 * [misc]simplify: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1)) 1538725305.192 * * * * [misc]progress: [ 26 / 73 ] simplifiying candidate # 1538725305.192 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1538725305.193 * * [misc]simplify: iters left: 6 (7 enodes) 1538725305.196 * * [misc]simplify: iters left: 5 (12 enodes) 1538725305.201 * * [misc]simplify: iters left: 4 (19 enodes) 1538725305.210 * * [misc]simplify: iters left: 3 (29 enodes) 1538725305.220 * * [misc]simplify: iters left: 2 (45 enodes) 1538725305.236 * * [misc]simplify: iters left: 1 (46 enodes) 1538725305.241 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1538725305.241 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (+ 1 1))) 1538725305.241 * [enter]simplify: Simplifying (+ 1 1) 1538725305.241 * * [misc]simplify: iters left: 2 (2 enodes) 1538725305.242 * * [misc]simplify: iters left: 1 (5 enodes) 1538725305.242 * [exit]simplify: Simplified to 2 1538725305.243 * [misc]simplify: Simplified (2 2) to (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 2)) 1538725305.243 * * * * [misc]progress: [ 27 / 73 ] simplifiying candidate # 1538725305.243 * [enter]simplify: Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) 1538725305.243 * * [misc]simplify: iters left: 6 (7 enodes) 1538725305.245 * * [misc]simplify: iters left: 5 (12 enodes) 1538725305.247 * * [misc]simplify: iters left: 4 (19 enodes) 1538725305.252 * * [misc]simplify: iters left: 3 (29 enodes) 1538725305.259 * * [misc]simplify: iters left: 2 (45 enodes) 1538725305.268 * * [misc]simplify: iters left: 1 (46 enodes) 1538725305.272 * [exit]simplify: Simplified to (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N)))) 1538725305.272 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N)))) 1/2)) 1538725305.272 * * * * [misc]progress: [ 28 / 73 ] simplifiying candidate # 1538725305.272 * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1538725305.273 * * [misc]simplify: iters left: 6 (8 enodes) 1538725305.275 * * [misc]simplify: iters left: 5 (13 enodes) 1538725305.277 * * [misc]simplify: iters left: 4 (21 enodes) 1538725305.282 * * [misc]simplify: iters left: 3 (31 enodes) 1538725305.291 * * [misc]simplify: iters left: 2 (46 enodes) 1538725305.310 * * [misc]simplify: iters left: 1 (48 enodes) 1538725305.319 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1538725305.319 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (* N N) (+ N 1))) 1)) 1538725305.319 * * * * [misc]progress: [ 29 / 73 ] simplifiying candidate # 1538725305.320 * * * * [misc]progress: [ 30 / 73 ] simplifiying candidate # 1538725305.320 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1538725305.321 * * [misc]simplify: iters left: 6 (7 enodes) 1538725305.324 * * [misc]simplify: iters left: 5 (12 enodes) 1538725305.328 * * [misc]simplify: iters left: 4 (19 enodes) 1538725305.336 * * [misc]simplify: iters left: 3 (29 enodes) 1538725305.346 * * [misc]simplify: iters left: 2 (45 enodes) 1538725305.364 * * [misc]simplify: iters left: 1 (46 enodes) 1538725305.372 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1538725305.372 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (+ 1 1))) 1538725305.372 * * * * [misc]progress: [ 31 / 73 ] simplifiying candidate # 1538725305.372 * * * * [misc]progress: [ 32 / 73 ] simplifiying candidate # 1538725305.372 * [enter]simplify: Simplifying (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1538725305.376 * * [misc]simplify: iters left: 6 (9 enodes) 1538725305.379 * * [misc]simplify: iters left: 5 (14 enodes) 1538725305.385 * * [misc]simplify: iters left: 4 (21 enodes) 1538725305.393 * * [misc]simplify: iters left: 3 (31 enodes) 1538725305.404 * * [misc]simplify: iters left: 2 (46 enodes) 1538725305.421 * * [misc]simplify: iters left: 1 (48 enodes) 1538725305.426 * [exit]simplify: Simplified to (+ (log (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1538725305.426 * [misc]simplify: Simplified (2 1) to (λ (N) (exp (+ (log (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))))) 1538725305.426 * * * * [misc]progress: [ 33 / 73 ] simplifiying candidate # 1538725305.427 * * * * [misc]progress: [ 34 / 73 ] simplifiying candidate # 1538725305.427 * * * * [misc]progress: [ 35 / 73 ] simplifiying candidate # 1538725305.427 * [enter]simplify: Simplifying (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1538725305.428 * * [misc]simplify: iters left: 6 (10 enodes) 1538725305.430 * * [misc]simplify: iters left: 5 (20 enodes) 1538725305.435 * * [misc]simplify: iters left: 4 (36 enodes) 1538725305.443 * * [misc]simplify: iters left: 3 (51 enodes) 1538725305.451 * * [misc]simplify: iters left: 2 (70 enodes) 1538725305.472 * * [misc]simplify: iters left: 1 (74 enodes) 1538725305.490 * [exit]simplify: Simplified to (pow (atan2 1 (+ (+ N 1) (* N N))) 3) 1538725305.490 * [misc]simplify: Simplified (2 1) to (λ (N) (cbrt (pow (atan2 1 (+ (+ N 1) (* N N))) 3))) 1538725305.490 * * * * [misc]progress: [ 36 / 73 ] simplifiying candidate # 1538725305.490 * * * * [misc]progress: [ 37 / 73 ] simplifiying candidate # 1538725305.490 * * * * [misc]progress: [ 38 / 73 ] simplifiying candidate # 1538725305.491 * [enter]simplify: Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) 1538725305.491 * * [misc]simplify: iters left: 6 (7 enodes) 1538725305.495 * * [misc]simplify: iters left: 5 (12 enodes) 1538725305.499 * * [misc]simplify: iters left: 4 (19 enodes) 1538725305.508 * * [misc]simplify: iters left: 3 (29 enodes) 1538725305.518 * * [misc]simplify: iters left: 2 (45 enodes) 1538725305.535 * * [misc]simplify: iters left: 1 (46 enodes) 1538725305.543 * [exit]simplify: Simplified to (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N)))) 1538725305.543 * [misc]simplify: Simplified (2 1) to (λ (N) (sqrt (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N)))))) 1538725305.543 * * * * [misc]progress: [ 39 / 73 ] simplifiying candidate # 1538725305.543 * * * * [misc]progress: [ 40 / 73 ] simplifiying candidate # 1538725305.543 * [enter]simplify: Simplifying (+ 1 (* (+ N 1) N)) 1538725305.544 * * [misc]simplify: iters left: 6 (5 enodes) 1538725305.546 * * [misc]simplify: iters left: 5 (10 enodes) 1538725305.549 * * [misc]simplify: iters left: 4 (17 enodes) 1538725305.556 * * [misc]simplify: iters left: 3 (27 enodes) 1538725305.564 * * [misc]simplify: iters left: 2 (42 enodes) 1538725305.581 * * [misc]simplify: iters left: 1 (43 enodes) 1538725305.588 * [exit]simplify: Simplified to (+ (+ N 1) (* N N)) 1538725305.589 * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ N 1) (* N N)))) 1538725305.589 * * * * [misc]progress: [ 41 / 73 ] simplifiying candidate # 1538725305.589 * * * * [misc]progress: [ 42 / 73 ] simplifiying candidate # 1538725305.589 * [enter]simplify: Simplifying (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1538725305.590 * * [misc]simplify: iters left: 6 (8 enodes) 1538725305.593 * * [misc]simplify: iters left: 5 (13 enodes) 1538725305.595 * * [misc]simplify: iters left: 4 (20 enodes) 1538725305.600 * * [misc]simplify: iters left: 3 (30 enodes) 1538725305.605 * * [misc]simplify: iters left: 2 (45 enodes) 1538725305.615 * * [misc]simplify: iters left: 1 (46 enodes) 1538725305.620 * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1538725305.620 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))))) 1538725305.620 * * * * [misc]progress: [ 43 / 73 ] simplifiying candidate # 1538725305.620 * [enter]simplify: Simplifying (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1538725305.621 * * [misc]simplify: iters left: 6 (8 enodes) 1538725305.623 * * [misc]simplify: iters left: 5 (13 enodes) 1538725305.625 * * [misc]simplify: iters left: 4 (20 enodes) 1538725305.630 * * [misc]simplify: iters left: 3 (30 enodes) 1538725305.636 * * [misc]simplify: iters left: 2 (45 enodes) 1538725305.654 * * [misc]simplify: iters left: 1 (46 enodes) 1538725305.662 * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1538725305.663 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1))))))) 1538725305.663 * * * * [misc]progress: [ 44 / 73 ] simplifiying candidate # 1538725305.663 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1538725305.663 * * [misc]simplify: iters left: 6 (8 enodes) 1538725305.665 * * [misc]simplify: iters left: 5 (13 enodes) 1538725305.668 * * [misc]simplify: iters left: 4 (20 enodes) 1538725305.672 * * [misc]simplify: iters left: 3 (30 enodes) 1538725305.677 * * [misc]simplify: iters left: 2 (45 enodes) 1538725305.686 * * [misc]simplify: iters left: 1 (46 enodes) 1538725305.694 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1538725305.694 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))))) 1538725305.694 * * * * [misc]progress: [ 45 / 73 ] simplifiying candidate # 1538725305.694 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1538725305.695 * * [misc]simplify: iters left: 6 (7 enodes) 1538725305.700 * * [misc]simplify: iters left: 5 (12 enodes) 1538725305.704 * * [misc]simplify: iters left: 4 (19 enodes) 1538725305.710 * * [misc]simplify: iters left: 3 (29 enodes) 1538725305.715 * * [misc]simplify: iters left: 2 (45 enodes) 1538725305.724 * * [misc]simplify: iters left: 1 (46 enodes) 1538725305.728 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1538725305.728 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt 1)) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1538725305.728 * * * * [misc]progress: [ 46 / 73 ] simplifiying candidate # 1538725305.728 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1538725305.729 * * [misc]simplify: iters left: 6 (8 enodes) 1538725305.730 * * [misc]simplify: iters left: 5 (13 enodes) 1538725305.733 * * [misc]simplify: iters left: 4 (20 enodes) 1538725305.737 * * [misc]simplify: iters left: 3 (30 enodes) 1538725305.743 * * [misc]simplify: iters left: 2 (45 enodes) 1538725305.752 * * [misc]simplify: iters left: 1 (46 enodes) 1538725305.756 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1538725305.756 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))))) 1538725305.756 * * * * [misc]progress: [ 47 / 73 ] simplifiying candidate # 1538725305.757 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1538725305.757 * * [misc]simplify: iters left: 6 (7 enodes) 1538725305.759 * * [misc]simplify: iters left: 5 (12 enodes) 1538725305.761 * * [misc]simplify: iters left: 4 (19 enodes) 1538725305.765 * * [misc]simplify: iters left: 3 (29 enodes) 1538725305.771 * * [misc]simplify: iters left: 2 (45 enodes) 1538725305.790 * * [misc]simplify: iters left: 1 (46 enodes) 1538725305.799 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1538725305.799 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1538725305.799 * * * * [misc]progress: [ 48 / 73 ] simplifiying candidate # 1538725305.799 * [enter]simplify: Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1538725305.801 * * [misc]simplify: iters left: 6 (9 enodes) 1538725305.804 * * [misc]simplify: iters left: 5 (14 enodes) 1538725305.810 * * [misc]simplify: iters left: 4 (21 enodes) 1538725305.819 * * [misc]simplify: iters left: 3 (31 enodes) 1538725305.830 * * [misc]simplify: iters left: 2 (46 enodes) 1538725305.849 * * [misc]simplify: iters left: 1 (48 enodes) 1538725305.860 * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1538725305.860 * [misc]simplify: Simplified (2 1) to (λ (N) (* (* (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1538725305.860 * * * * [misc]progress: [ 49 / 73 ] simplifiying candidate # 1538725305.860 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1538725305.861 * * [misc]simplify: iters left: 6 (9 enodes) 1538725305.865 * * [misc]simplify: iters left: 5 (15 enodes) 1538725305.871 * * [misc]simplify: iters left: 4 (22 enodes) 1538725305.880 * * [misc]simplify: iters left: 3 (32 enodes) 1538725305.891 * * [misc]simplify: iters left: 2 (48 enodes) 1538725305.909 * * [misc]simplify: iters left: 1 (49 enodes) 1538725305.918 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1538725305.919 * [misc]simplify: Simplified (2 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))))))) 1538725305.919 * * * * [misc]progress: [ 50 / 73 ] simplifiying candidate # 1538725305.919 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1538725305.922 * * [misc]simplify: iters left: 6 (8 enodes) 1538725305.925 * * [misc]simplify: iters left: 5 (13 enodes) 1538725305.930 * * [misc]simplify: iters left: 4 (20 enodes) 1538725305.938 * * [misc]simplify: iters left: 3 (30 enodes) 1538725305.944 * * [misc]simplify: iters left: 2 (45 enodes) 1538725305.953 * * [misc]simplify: iters left: 1 (46 enodes) 1538725305.957 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1538725305.957 * [misc]simplify: Simplified (2 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))))))) 1538725305.957 * * * * [misc]progress: [ 51 / 73 ] simplifiying candidate # 1538725305.957 * [enter]simplify: Simplifying (sqrt 1) 1538725305.957 * * [misc]simplify: iters left: 1 (2 enodes) 1538725305.958 * [exit]simplify: Simplified to 1 1538725305.958 * [misc]simplify: Simplified (2 1) to (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1538725305.958 * * * * [misc]progress: [ 52 / 73 ] simplifiying candidate # 1538725305.959 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1538725305.959 * * [misc]simplify: iters left: 6 (8 enodes) 1538725305.961 * * [misc]simplify: iters left: 5 (13 enodes) 1538725305.964 * * [misc]simplify: iters left: 4 (20 enodes) 1538725305.968 * * [misc]simplify: iters left: 3 (30 enodes) 1538725305.975 * * [misc]simplify: iters left: 2 (45 enodes) 1538725305.992 * * [misc]simplify: iters left: 1 (46 enodes) 1538725306.000 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1538725306.001 * [misc]simplify: Simplified (2 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))))))) 1538725306.001 * * * * [misc]progress: [ 53 / 73 ] simplifiying candidate # 1538725306.001 * * * * [misc]progress: [ 54 / 73 ] simplifiying candidate # 1538725306.001 * * * * [misc]progress: [ 55 / 73 ] simplifiying candidate # 1538725306.001 * * * * [misc]progress: [ 56 / 73 ] simplifiying candidate # 1538725306.001 * * * * [misc]progress: [ 57 / 73 ] simplifiying candidate # 1538725306.001 * * * * [misc]progress: [ 58 / 73 ] simplifiying candidate # 1538725306.001 * * * * [misc]progress: [ 59 / 73 ] simplifiying candidate # 1538725306.001 * * * * [misc]progress: [ 60 / 73 ] simplifiying candidate # 1538725306.001 * * * * [misc]progress: [ 61 / 73 ] simplifiying candidate # 1538725306.001 * * * * [misc]progress: [ 62 / 73 ] simplifiying candidate # 1538725306.001 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725306.002 * * [misc]simplify: iters left: 6 (8 enodes) 1538725306.006 * * [misc]simplify: iters left: 5 (15 enodes) 1538725306.012 * * [misc]simplify: iters left: 4 (22 enodes) 1538725306.017 * * [misc]simplify: iters left: 3 (24 enodes) 1538725306.022 * * [misc]simplify: iters left: 2 (30 enodes) 1538725306.028 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1538725306.028 * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1538725306.029 * * * * [misc]progress: [ 63 / 73 ] simplifiying candidate # 1538725306.029 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725306.029 * * [misc]simplify: iters left: 6 (8 enodes) 1538725306.031 * * [misc]simplify: iters left: 5 (15 enodes) 1538725306.034 * * [misc]simplify: iters left: 4 (22 enodes) 1538725306.038 * * [misc]simplify: iters left: 3 (24 enodes) 1538725306.042 * * [misc]simplify: iters left: 2 (30 enodes) 1538725306.048 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1538725306.048 * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1538725306.048 * * * * [misc]progress: [ 64 / 73 ] simplifiying candidate # 1538725306.048 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725306.049 * * [misc]simplify: iters left: 6 (8 enodes) 1538725306.051 * * [misc]simplify: iters left: 5 (15 enodes) 1538725306.053 * * [misc]simplify: iters left: 4 (22 enodes) 1538725306.059 * * [misc]simplify: iters left: 3 (24 enodes) 1538725306.066 * * [misc]simplify: iters left: 2 (30 enodes) 1538725306.077 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1538725306.077 * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1538725306.077 * * * * [misc]progress: [ 65 / 73 ] simplifiying candidate # 1538725306.077 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725306.078 * * [misc]simplify: iters left: 6 (8 enodes) 1538725306.082 * * [misc]simplify: iters left: 5 (15 enodes) 1538725306.087 * * [misc]simplify: iters left: 4 (22 enodes) 1538725306.094 * * [misc]simplify: iters left: 3 (24 enodes) 1538725306.101 * * [misc]simplify: iters left: 2 (30 enodes) 1538725306.112 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1538725306.112 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1538725306.112 * * * * [misc]progress: [ 66 / 73 ] simplifiying candidate # 1538725306.112 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725306.113 * * [misc]simplify: iters left: 6 (8 enodes) 1538725306.116 * * [misc]simplify: iters left: 5 (15 enodes) 1538725306.122 * * [misc]simplify: iters left: 4 (22 enodes) 1538725306.129 * * [misc]simplify: iters left: 3 (24 enodes) 1538725306.136 * * [misc]simplify: iters left: 2 (30 enodes) 1538725306.149 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1538725306.149 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1538725306.149 * * * * [misc]progress: [ 67 / 73 ] simplifiying candidate # 1538725306.149 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725306.150 * * [misc]simplify: iters left: 6 (8 enodes) 1538725306.153 * * [misc]simplify: iters left: 5 (15 enodes) 1538725306.155 * * [misc]simplify: iters left: 4 (22 enodes) 1538725306.159 * * [misc]simplify: iters left: 3 (24 enodes) 1538725306.163 * * [misc]simplify: iters left: 2 (30 enodes) 1538725306.168 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1538725306.168 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1538725306.168 * * * * [misc]progress: [ 68 / 73 ] simplifiying candidate # 1538725306.168 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1538725306.169 * * [misc]simplify: iters left: 6 (7 enodes) 1538725306.171 * * [misc]simplify: iters left: 5 (14 enodes) 1538725306.174 * * [misc]simplify: iters left: 4 (21 enodes) 1538725306.177 * * [misc]simplify: iters left: 3 (23 enodes) 1538725306.182 * * [misc]simplify: iters left: 2 (29 enodes) 1538725306.191 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1538725306.192 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1538725306.192 * * * * [misc]progress: [ 69 / 73 ] simplifiying candidate # 1538725306.192 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1538725306.193 * * [misc]simplify: iters left: 6 (7 enodes) 1538725306.196 * * [misc]simplify: iters left: 5 (14 enodes) 1538725306.201 * * [misc]simplify: iters left: 4 (21 enodes) 1538725306.205 * * [misc]simplify: iters left: 3 (23 enodes) 1538725306.209 * * [misc]simplify: iters left: 2 (29 enodes) 1538725306.214 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1538725306.214 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1538725306.214 * * * * [misc]progress: [ 70 / 73 ] simplifiying candidate # 1538725306.214 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1538725306.214 * * [misc]simplify: iters left: 6 (7 enodes) 1538725306.216 * * [misc]simplify: iters left: 5 (14 enodes) 1538725306.219 * * [misc]simplify: iters left: 4 (21 enodes) 1538725306.222 * * [misc]simplify: iters left: 3 (23 enodes) 1538725306.226 * * [misc]simplify: iters left: 2 (29 enodes) 1538725306.231 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1538725306.231 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1538725306.231 * * * * [misc]progress: [ 71 / 73 ] simplifiying candidate # 1538725306.231 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1538725306.232 * * [misc]simplify: iters left: 6 (7 enodes) 1538725306.237 * * [misc]simplify: iters left: 5 (14 enodes) 1538725306.243 * * [misc]simplify: iters left: 4 (21 enodes) 1538725306.249 * * [misc]simplify: iters left: 3 (23 enodes) 1538725306.256 * * [misc]simplify: iters left: 2 (29 enodes) 1538725306.266 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1538725306.266 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1538725306.266 * * * * [misc]progress: [ 72 / 73 ] simplifiying candidate # 1538725306.266 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1538725306.267 * * [misc]simplify: iters left: 6 (7 enodes) 1538725306.271 * * [misc]simplify: iters left: 5 (14 enodes) 1538725306.276 * * [misc]simplify: iters left: 4 (21 enodes) 1538725306.282 * * [misc]simplify: iters left: 3 (23 enodes) 1538725306.289 * * [misc]simplify: iters left: 2 (29 enodes) 1538725306.294 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1538725306.294 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1538725306.294 * * * * [misc]progress: [ 73 / 73 ] simplifiying candidate # 1538725306.294 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1538725306.294 * * [misc]simplify: iters left: 6 (7 enodes) 1538725306.296 * * [misc]simplify: iters left: 5 (14 enodes) 1538725306.299 * * [misc]simplify: iters left: 4 (21 enodes) 1538725306.302 * * [misc]simplify: iters left: 3 (23 enodes) 1538725306.306 * * [misc]simplify: iters left: 2 (29 enodes) 1538725306.311 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1538725306.311 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1538725306.311 * * * [misc]progress: adding candidates to table 1538725307.500 * * [misc]progress: iteration 4 / 4 1538725307.500 * * * [misc]progress: picking best candidate 1538725307.553 * * * * [misc]pick: Picked # 1538725307.553 * * * [misc]progress: localizing error 1538725307.571 * * * [misc]progress: generating rewritten candidates 1538725307.571 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1) 1538725307.575 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1) 1538725307.577 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) 1538725307.580 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1538725307.685 * * * [misc]progress: generating series expansions 1538725307.685 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1) 1538725307.686 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725307.686 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 1538725307.686 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1538725307.686 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1538725307.686 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725307.686 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725307.686 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725307.686 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1538725307.686 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1538725307.686 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725307.686 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725307.686 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725307.687 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725307.687 * [misc]backup-simplify: Simplify 0 into 0 1538725307.687 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725307.687 * [misc]backup-simplify: Simplify 0 into 0 1538725307.688 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725307.688 * [misc]backup-simplify: Simplify 0 into 0 1538725307.688 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725307.688 * [misc]backup-simplify: Simplify 0 into 0 1538725307.689 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725307.689 * [misc]backup-simplify: Simplify 0 into 0 1538725307.689 * [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 1538725307.689 * [misc]backup-simplify: Simplify 0 into 0 1538725307.690 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725307.690 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1538725307.690 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 1538725307.690 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1538725307.690 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1538725307.690 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1538725307.690 * [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)))) 1538725307.690 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725307.690 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1538725307.690 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1538725307.690 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1538725307.690 * [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)))) 1538725307.691 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725307.691 * [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)))) 1538725307.691 * [misc]backup-simplify: Simplify 0 into 0 1538725307.691 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725307.691 * [misc]backup-simplify: Simplify 0 into 0 1538725307.692 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725307.692 * [misc]backup-simplify: Simplify 0 into 0 1538725307.692 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725307.692 * [misc]backup-simplify: Simplify 0 into 0 1538725307.693 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725307.693 * [misc]backup-simplify: Simplify 0 into 0 1538725307.694 * [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 1538725307.694 * [misc]backup-simplify: Simplify 0 into 0 1538725307.694 * [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)))) 1538725307.694 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1538725307.694 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 1538725307.694 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1538725307.694 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1538725307.694 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1538725307.694 * [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)))) 1538725307.695 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725307.695 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1538725307.695 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1538725307.695 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1538725307.695 * [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)))) 1538725307.695 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725307.695 * [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)))) 1538725307.695 * [misc]backup-simplify: Simplify 0 into 0 1538725307.696 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725307.696 * [misc]backup-simplify: Simplify 0 into 0 1538725307.696 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725307.696 * [misc]backup-simplify: Simplify 0 into 0 1538725307.697 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725307.697 * [misc]backup-simplify: Simplify 0 into 0 1538725307.697 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725307.697 * [misc]backup-simplify: Simplify 0 into 0 1538725307.698 * [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 1538725307.698 * [misc]backup-simplify: Simplify 0 into 0 1538725307.698 * [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)))) 1538725307.698 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1) 1538725307.699 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725307.699 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 1538725307.699 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1538725307.699 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1538725307.699 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725307.699 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725307.699 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725307.699 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1538725307.699 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1538725307.699 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725307.699 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725307.699 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725307.699 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725307.700 * [misc]backup-simplify: Simplify 0 into 0 1538725307.700 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725307.700 * [misc]backup-simplify: Simplify 0 into 0 1538725307.701 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725307.701 * [misc]backup-simplify: Simplify 0 into 0 1538725307.701 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725307.701 * [misc]backup-simplify: Simplify 0 into 0 1538725307.702 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725307.702 * [misc]backup-simplify: Simplify 0 into 0 1538725307.702 * [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 1538725307.702 * [misc]backup-simplify: Simplify 0 into 0 1538725307.703 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725307.703 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1538725307.703 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 1538725307.703 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1538725307.703 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1538725307.703 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1538725307.703 * [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)))) 1538725307.703 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725307.703 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1538725307.703 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1538725307.703 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1538725307.703 * [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)))) 1538725307.704 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725307.704 * [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)))) 1538725307.704 * [misc]backup-simplify: Simplify 0 into 0 1538725307.704 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725307.704 * [misc]backup-simplify: Simplify 0 into 0 1538725307.705 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725307.705 * [misc]backup-simplify: Simplify 0 into 0 1538725307.705 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725307.705 * [misc]backup-simplify: Simplify 0 into 0 1538725307.706 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725307.706 * [misc]backup-simplify: Simplify 0 into 0 1538725307.706 * [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 1538725307.707 * [misc]backup-simplify: Simplify 0 into 0 1538725307.707 * [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)))) 1538725307.707 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1538725307.707 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 1538725307.707 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1538725307.707 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1538725307.707 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1538725307.707 * [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)))) 1538725307.707 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725307.707 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1538725307.707 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1538725307.708 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1538725307.708 * [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)))) 1538725307.708 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725307.708 * [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)))) 1538725307.708 * [misc]backup-simplify: Simplify 0 into 0 1538725307.709 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725307.709 * [misc]backup-simplify: Simplify 0 into 0 1538725307.709 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725307.709 * [misc]backup-simplify: Simplify 0 into 0 1538725307.710 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725307.710 * [misc]backup-simplify: Simplify 0 into 0 1538725307.710 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725307.710 * [misc]backup-simplify: Simplify 0 into 0 1538725307.711 * [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 1538725307.711 * [misc]backup-simplify: Simplify 0 into 0 1538725307.711 * [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)))) 1538725307.711 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) 1538725307.711 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725307.712 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 1538725307.712 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1538725307.712 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1538725307.712 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725307.712 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725307.712 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725307.712 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1538725307.712 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1538725307.712 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725307.712 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725307.712 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725307.712 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725307.712 * [misc]backup-simplify: Simplify 0 into 0 1538725307.713 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725307.713 * [misc]backup-simplify: Simplify 0 into 0 1538725307.713 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725307.713 * [misc]backup-simplify: Simplify 0 into 0 1538725307.714 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725307.714 * [misc]backup-simplify: Simplify 0 into 0 1538725307.714 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1538725307.714 * [misc]backup-simplify: Simplify 0 into 0 1538725307.715 * [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 1538725307.715 * [misc]backup-simplify: Simplify 0 into 0 1538725307.715 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725307.715 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1538725307.715 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 1538725307.715 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1538725307.715 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1538725307.716 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1538725307.716 * [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)))) 1538725307.716 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725307.716 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1538725307.716 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1538725307.716 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1538725307.716 * [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)))) 1538725307.716 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725307.716 * [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)))) 1538725307.716 * [misc]backup-simplify: Simplify 0 into 0 1538725307.717 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725307.717 * [misc]backup-simplify: Simplify 0 into 0 1538725307.717 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725307.717 * [misc]backup-simplify: Simplify 0 into 0 1538725307.718 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725307.718 * [misc]backup-simplify: Simplify 0 into 0 1538725307.718 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1538725307.718 * [misc]backup-simplify: Simplify 0 into 0 1538725307.719 * [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 1538725307.719 * [misc]backup-simplify: Simplify 0 into 0 1538725307.719 * [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)))) 1538725307.720 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1538725307.720 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 1538725307.720 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1538725307.720 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1538725307.720 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1538725307.720 * [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)))) 1538725307.720 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725307.720 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1538725307.720 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1538725307.720 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1538725307.720 * [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)))) 1538725307.721 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725307.721 * [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)))) 1538725307.721 * [misc]backup-simplify: Simplify 0 into 0 1538725307.721 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725307.721 * [misc]backup-simplify: Simplify 0 into 0 1538725307.722 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725307.722 * [misc]backup-simplify: Simplify 0 into 0 1538725307.722 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725307.722 * [misc]backup-simplify: Simplify 0 into 0 1538725307.723 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1538725307.723 * [misc]backup-simplify: Simplify 0 into 0 1538725307.724 * [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 1538725307.724 * [misc]backup-simplify: Simplify 0 into 0 1538725307.724 * [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)))) 1538725307.724 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1538725307.724 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725307.725 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1538725307.725 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1538725307.725 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725307.725 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1538725307.725 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725307.725 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725307.725 * [misc]backup-simplify: Simplify 0 into 0 1538725307.725 * [misc]backup-simplify: Simplify 0 into 0 1538725307.725 * [misc]backup-simplify: Simplify 0 into 0 1538725307.725 * [misc]backup-simplify: Simplify 0 into 0 1538725307.725 * [misc]backup-simplify: Simplify 0 into 0 1538725307.725 * [misc]backup-simplify: Simplify 0 into 0 1538725307.725 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725307.726 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1538725307.726 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1538725307.726 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1538725307.726 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1538725307.726 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1538725307.726 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1538725307.726 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1538725307.726 * [misc]backup-simplify: Simplify 0 into 0 1538725307.726 * [misc]backup-simplify: Simplify 0 into 0 1538725307.726 * [misc]backup-simplify: Simplify 0 into 0 1538725307.726 * [misc]backup-simplify: Simplify 0 into 0 1538725307.726 * [misc]backup-simplify: Simplify 0 into 0 1538725307.726 * [misc]backup-simplify: Simplify 0 into 0 1538725307.727 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725307.727 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1538725307.727 * [misc]approximate: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1538725307.727 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1538725307.727 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1538725307.727 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1538725307.728 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1538725307.728 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1538725307.728 * [misc]backup-simplify: Simplify 0 into 0 1538725307.728 * [misc]backup-simplify: Simplify 0 into 0 1538725307.728 * [misc]backup-simplify: Simplify 0 into 0 1538725307.728 * [misc]backup-simplify: Simplify 0 into 0 1538725307.728 * [misc]backup-simplify: Simplify 0 into 0 1538725307.728 * [misc]backup-simplify: Simplify 0 into 0 1538725307.728 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1538725307.728 * * * [misc]progress: simplifying candidates 1538725307.728 * * * * [misc]progress: [ 1 / 72 ] simplifiying candidate # 1538725307.728 * * * * [misc]progress: [ 2 / 72 ] simplifiying candidate # 1538725307.728 * * * * [misc]progress: [ 3 / 72 ] simplifiying candidate # 1538725307.728 * * * * [misc]progress: [ 4 / 72 ] simplifiying candidate # 1538725307.728 * * * * [misc]progress: [ 5 / 72 ] simplifiying candidate # 1538725307.728 * * * * [misc]progress: [ 6 / 72 ] simplifiying candidate # 1538725307.728 * * * * [misc]progress: [ 7 / 72 ] simplifiying candidate # 1538725307.729 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1538725307.729 * * [misc]simplify: iters left: 6 (9 enodes) 1538725307.732 * * [misc]simplify: iters left: 5 (15 enodes) 1538725307.734 * * [misc]simplify: iters left: 4 (22 enodes) 1538725307.739 * * [misc]simplify: iters left: 3 (32 enodes) 1538725307.746 * * [misc]simplify: iters left: 2 (48 enodes) 1538725307.764 * * [misc]simplify: iters left: 1 (49 enodes) 1538725307.773 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1538725307.773 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) 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)))))))))) 1538725307.773 * * * * [misc]progress: [ 8 / 72 ] simplifiying candidate # 1538725307.773 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1538725307.774 * * [misc]simplify: iters left: 6 (8 enodes) 1538725307.781 * * [misc]simplify: iters left: 5 (13 enodes) 1538725307.786 * * [misc]simplify: iters left: 4 (20 enodes) 1538725307.794 * * [misc]simplify: iters left: 3 (30 enodes) 1538725307.800 * * [misc]simplify: iters left: 2 (45 enodes) 1538725307.809 * * [misc]simplify: iters left: 1 (46 enodes) 1538725307.813 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1538725307.813 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) 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)))))))))) 1538725307.813 * * * * [misc]progress: [ 9 / 72 ] simplifiying candidate # 1538725307.814 * [enter]simplify: Simplifying (sqrt 1) 1538725307.814 * * [misc]simplify: iters left: 1 (2 enodes) 1538725307.815 * [exit]simplify: Simplified to 1 1538725307.815 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))) 1538725307.815 * * * * [misc]progress: [ 10 / 72 ] simplifiying candidate # 1538725307.815 * * * * [misc]progress: [ 11 / 72 ] simplifiying candidate # 1538725307.815 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1538725307.816 * * [misc]simplify: iters left: 6 (7 enodes) 1538725307.817 * * [misc]simplify: iters left: 5 (12 enodes) 1538725307.820 * * [misc]simplify: iters left: 4 (19 enodes) 1538725307.824 * * [misc]simplify: iters left: 3 (29 enodes) 1538725307.830 * * [misc]simplify: iters left: 2 (45 enodes) 1538725307.838 * * [misc]simplify: iters left: 1 (46 enodes) 1538725307.843 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1538725307.843 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (fabs (sqrt (atan2 1 (+ (+ N 1) (* N N))))))))) 1538725307.843 * * * * [misc]progress: [ 12 / 72 ] simplifiying candidate # 1538725307.843 * * * * [misc]progress: [ 13 / 72 ] simplifiying candidate # 1538725307.843 * * * * [misc]progress: [ 14 / 72 ] simplifiying candidate # 1538725307.843 * * * * [misc]progress: [ 15 / 72 ] simplifiying candidate # 1538725307.843 * * * * [misc]progress: [ 16 / 72 ] simplifiying candidate # 1538725307.843 * * * * [misc]progress: [ 17 / 72 ] simplifiying candidate # 1538725307.843 * * * * [misc]progress: [ 18 / 72 ] simplifiying candidate # 1538725307.843 * * * * [misc]progress: [ 19 / 72 ] simplifiying candidate # 1538725307.843 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1538725307.844 * * [misc]simplify: iters left: 6 (9 enodes) 1538725307.846 * * [misc]simplify: iters left: 5 (15 enodes) 1538725307.850 * * [misc]simplify: iters left: 4 (22 enodes) 1538725307.855 * * [misc]simplify: iters left: 3 (32 enodes) 1538725307.863 * * [misc]simplify: iters left: 2 (48 enodes) 1538725307.872 * * [misc]simplify: iters left: 1 (49 enodes) 1538725307.877 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1538725307.877 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (N) (* (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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1538725307.877 * * * * [misc]progress: [ 20 / 72 ] simplifiying candidate # 1538725307.877 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1538725307.878 * * [misc]simplify: iters left: 6 (8 enodes) 1538725307.880 * * [misc]simplify: iters left: 5 (13 enodes) 1538725307.882 * * [misc]simplify: iters left: 4 (20 enodes) 1538725307.887 * * [misc]simplify: iters left: 3 (30 enodes) 1538725307.892 * * [misc]simplify: iters left: 2 (45 enodes) 1538725307.901 * * [misc]simplify: iters left: 1 (46 enodes) 1538725307.906 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1538725307.906 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (N) (* (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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1538725307.906 * * * * [misc]progress: [ 21 / 72 ] simplifiying candidate # 1538725307.906 * [enter]simplify: Simplifying (sqrt 1) 1538725307.906 * * [misc]simplify: iters left: 1 (2 enodes) 1538725307.907 * [exit]simplify: Simplified to 1 1538725307.907 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1538725307.907 * * * * [misc]progress: [ 22 / 72 ] simplifiying candidate # 1538725307.907 * * * * [misc]progress: [ 23 / 72 ] simplifiying candidate # 1538725307.907 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1538725307.908 * * [misc]simplify: iters left: 6 (7 enodes) 1538725307.910 * * [misc]simplify: iters left: 5 (12 enodes) 1538725307.912 * * [misc]simplify: iters left: 4 (19 enodes) 1538725307.916 * * [misc]simplify: iters left: 3 (29 enodes) 1538725307.921 * * [misc]simplify: iters left: 2 (45 enodes) 1538725307.930 * * [misc]simplify: iters left: 1 (46 enodes) 1538725307.936 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1538725307.936 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (fabs (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1538725307.936 * * * * [misc]progress: [ 24 / 72 ] simplifiying candidate # 1538725307.936 * * * * [misc]progress: [ 25 / 72 ] simplifiying candidate # 1538725307.936 * * * * [misc]progress: [ 26 / 72 ] simplifiying candidate # 1538725307.936 * * * * [misc]progress: [ 27 / 72 ] simplifiying candidate # 1538725307.936 * * * * [misc]progress: [ 28 / 72 ] simplifiying candidate # 1538725307.936 * * * * [misc]progress: [ 29 / 72 ] simplifiying candidate # 1538725307.936 * * * * [misc]progress: [ 30 / 72 ] simplifiying candidate # 1538725307.936 * * * * [misc]progress: [ 31 / 72 ] simplifiying candidate # 1538725307.936 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1538725307.937 * * [misc]simplify: iters left: 6 (9 enodes) 1538725307.939 * * [misc]simplify: iters left: 5 (15 enodes) 1538725307.942 * * [misc]simplify: iters left: 4 (22 enodes) 1538725307.947 * * [misc]simplify: iters left: 3 (32 enodes) 1538725307.953 * * [misc]simplify: iters left: 2 (48 enodes) 1538725307.962 * * [misc]simplify: iters left: 1 (49 enodes) 1538725307.966 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1538725307.966 * [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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1538725307.967 * * * * [misc]progress: [ 32 / 72 ] simplifiying candidate # 1538725307.967 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1538725307.967 * * [misc]simplify: iters left: 6 (8 enodes) 1538725307.969 * * [misc]simplify: iters left: 5 (13 enodes) 1538725307.972 * * [misc]simplify: iters left: 4 (20 enodes) 1538725307.977 * * [misc]simplify: iters left: 3 (30 enodes) 1538725307.985 * * [misc]simplify: iters left: 2 (45 enodes) 1538725307.995 * * [misc]simplify: iters left: 1 (46 enodes) 1538725307.999 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1538725307.999 * [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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1538725307.999 * * * * [misc]progress: [ 33 / 72 ] simplifiying candidate # 1538725308.000 * [enter]simplify: Simplifying (sqrt 1) 1538725308.000 * * [misc]simplify: iters left: 1 (2 enodes) 1538725308.001 * [exit]simplify: Simplified to 1 1538725308.001 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1538725308.001 * * * * [misc]progress: [ 34 / 72 ] simplifiying candidate # 1538725308.001 * * * * [misc]progress: [ 35 / 72 ] simplifiying candidate # 1538725308.001 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1538725308.001 * * [misc]simplify: iters left: 6 (7 enodes) 1538725308.003 * * [misc]simplify: iters left: 5 (12 enodes) 1538725308.005 * * [misc]simplify: iters left: 4 (19 enodes) 1538725308.010 * * [misc]simplify: iters left: 3 (29 enodes) 1538725308.020 * * [misc]simplify: iters left: 2 (45 enodes) 1538725308.029 * * [misc]simplify: iters left: 1 (46 enodes) 1538725308.033 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1538725308.033 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (fabs (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1538725308.033 * * * * [misc]progress: [ 36 / 72 ] simplifiying candidate # 1538725308.033 * * * * [misc]progress: [ 37 / 72 ] simplifiying candidate # 1538725308.033 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1538725308.034 * * [misc]simplify: iters left: 6 (7 enodes) 1538725308.035 * * [misc]simplify: iters left: 5 (12 enodes) 1538725308.038 * * [misc]simplify: iters left: 4 (19 enodes) 1538725308.043 * * [misc]simplify: iters left: 3 (29 enodes) 1538725308.048 * * [misc]simplify: iters left: 2 (45 enodes) 1538725308.057 * * [misc]simplify: iters left: 1 (46 enodes) 1538725308.062 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1538725308.062 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (+ 1 (+ 1/2 1/2)))) 1538725308.062 * [enter]simplify: Simplifying (+ 1 (+ 1/2 1/2)) 1538725308.062 * * [misc]simplify: iters left: 4 (4 enodes) 1538725308.065 * * [misc]simplify: iters left: 3 (11 enodes) 1538725308.066 * [exit]simplify: Simplified to 2 1538725308.066 * [misc]simplify: Simplified (2 2) to (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 2)) 1538725308.066 * * * * [misc]progress: [ 38 / 72 ] simplifiying candidate # 1538725308.067 * [enter]simplify: Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1538725308.067 * * [misc]simplify: iters left: 6 (9 enodes) 1538725308.070 * * [misc]simplify: iters left: 5 (17 enodes) 1538725308.073 * * [misc]simplify: iters left: 4 (29 enodes) 1538725308.079 * * [misc]simplify: iters left: 3 (41 enodes) 1538725308.087 * * [misc]simplify: iters left: 2 (59 enodes) 1538725308.100 * * [misc]simplify: iters left: 1 (60 enodes) 1538725308.105 * [exit]simplify: Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (atan2 1 (+ (* N N) (+ N 1)))) 1538725308.105 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (* (atan2 1 (+ (* N N) (+ N 1))) (atan2 1 (+ (* N N) (+ N 1)))) 1/2)) 1538725308.105 * * * * [misc]progress: [ 39 / 72 ] simplifiying candidate # 1538725308.105 * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1538725308.106 * * [misc]simplify: iters left: 6 (10 enodes) 1538725308.109 * * [misc]simplify: iters left: 5 (18 enodes) 1538725308.117 * * [misc]simplify: iters left: 4 (30 enodes) 1538725308.128 * * [misc]simplify: iters left: 3 (43 enodes) 1538725308.141 * * [misc]simplify: iters left: 2 (61 enodes) 1538725308.162 * * [misc]simplify: iters left: 1 (62 enodes) 1538725308.172 * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (* N N))) 1538725308.172 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N 1) (* N N))) 1)) 1538725308.172 * * * * [misc]progress: [ 40 / 72 ] simplifiying candidate # 1538725308.172 * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1538725308.173 * * [misc]simplify: iters left: 6 (10 enodes) 1538725308.178 * * [misc]simplify: iters left: 5 (18 enodes) 1538725308.185 * * [misc]simplify: iters left: 4 (30 enodes) 1538725308.197 * * [misc]simplify: iters left: 3 (43 enodes) 1538725308.211 * * [misc]simplify: iters left: 2 (61 enodes) 1538725308.236 * * [misc]simplify: iters left: 1 (62 enodes) 1538725308.246 * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (* N N))) 1538725308.246 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N 1) (* N N))) 1)) 1538725308.246 * * * * [misc]progress: [ 41 / 72 ] simplifiying candidate # 1538725308.246 * * * * [misc]progress: [ 42 / 72 ] simplifiying candidate # 1538725308.247 * [enter]simplify: Simplifying (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (+ (log (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (log (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1538725308.249 * * [misc]simplify: iters left: 6 (12 enodes) 1538725308.253 * * [misc]simplify: iters left: 5 (20 enodes) 1538725308.261 * * [misc]simplify: iters left: 4 (29 enodes) 1538725308.272 * * [misc]simplify: iters left: 3 (39 enodes) 1538725308.284 * * [misc]simplify: iters left: 2 (55 enodes) 1538725308.305 * * [misc]simplify: iters left: 1 (56 enodes) 1538725308.320 * [exit]simplify: Simplified to (+ (log (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (+ (log (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) (log (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))))) 1538725308.320 * [misc]simplify: Simplified (2 1) to (λ (N) (exp (+ (log (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (+ (log (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) (log (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))))))) 1538725308.320 * * * * [misc]progress: [ 43 / 72 ] simplifiying candidate # 1538725308.320 * [enter]simplify: Simplifying (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1538725308.322 * * [misc]simplify: iters left: 6 (12 enodes) 1538725308.327 * * [misc]simplify: iters left: 5 (20 enodes) 1538725308.335 * * [misc]simplify: iters left: 4 (34 enodes) 1538725308.348 * * [misc]simplify: iters left: 3 (46 enodes) 1538725308.361 * * [misc]simplify: iters left: 2 (61 enodes) 1538725308.384 * * [misc]simplify: iters left: 1 (63 enodes) 1538725308.396 * [exit]simplify: Simplified to (+ (log (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1538725308.396 * [misc]simplify: Simplified (2 1) to (λ (N) (exp (+ (log (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))))) 1538725308.396 * * * * [misc]progress: [ 44 / 72 ] simplifiying candidate # 1538725308.396 * * * * [misc]progress: [ 45 / 72 ] simplifiying candidate # 1538725308.396 * * * * [misc]progress: [ 46 / 72 ] simplifiying candidate # 1538725308.397 * [enter]simplify: Simplifying (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1538725308.399 * * [misc]simplify: iters left: 6 (14 enodes) 1538725308.407 * * [misc]simplify: iters left: 5 (33 enodes) 1538725308.427 * * [misc]simplify: iters left: 4 (82 enodes) 1538725308.470 * * [misc]simplify: iters left: 3 (140 enodes) 1538725308.533 * * [misc]simplify: iters left: 2 (194 enodes) 1538725308.607 * * [misc]simplify: iters left: 1 (200 enodes) 1538725308.642 * [exit]simplify: Simplified to (pow (atan2 1 (+ (* N N) (+ N 1))) 3) 1538725308.642 * [misc]simplify: Simplified (2 1) to (λ (N) (cbrt (pow (atan2 1 (+ (* N N) (+ N 1))) 3))) 1538725308.642 * * * * [misc]progress: [ 47 / 72 ] simplifiying candidate # 1538725308.642 * [enter]simplify: Simplifying (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1538725308.644 * * [misc]simplify: iters left: 6 (14 enodes) 1538725308.653 * * [misc]simplify: iters left: 5 (32 enodes) 1538725308.670 * * [misc]simplify: iters left: 4 (75 enodes) 1538725308.713 * * [misc]simplify: iters left: 3 (140 enodes) 1538725308.773 * * [misc]simplify: iters left: 2 (177 enodes) 1538725308.818 * * [misc]simplify: iters left: 1 (183 enodes) 1538725308.849 * [exit]simplify: Simplified to (pow (atan2 1 (+ (+ N 1) (* N N))) 3) 1538725308.849 * [misc]simplify: Simplified (2 1) to (λ (N) (cbrt (pow (atan2 1 (+ (+ N 1) (* N N))) 3))) 1538725308.849 * * * * [misc]progress: [ 48 / 72 ] simplifiying candidate # 1538725308.849 * * * * [misc]progress: [ 49 / 72 ] simplifiying candidate # 1538725308.849 * * * * [misc]progress: [ 50 / 72 ] simplifiying candidate # 1538725308.849 * [enter]simplify: Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1538725308.850 * * [misc]simplify: iters left: 6 (9 enodes) 1538725308.852 * * [misc]simplify: iters left: 5 (17 enodes) 1538725308.856 * * [misc]simplify: iters left: 4 (29 enodes) 1538725308.862 * * [misc]simplify: iters left: 3 (41 enodes) 1538725308.869 * * [misc]simplify: iters left: 2 (59 enodes) 1538725308.881 * * [misc]simplify: iters left: 1 (60 enodes) 1538725308.888 * [exit]simplify: Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (atan2 1 (+ (* N N) (+ N 1)))) 1538725308.888 * [misc]simplify: Simplified (2 1) to (λ (N) (sqrt (* (atan2 1 (+ (* N N) (+ N 1))) (atan2 1 (+ (* N N) (+ N 1)))))) 1538725308.888 * * * * [misc]progress: [ 51 / 72 ] simplifiying candidate # 1538725308.888 * * * * [misc]progress: [ 52 / 72 ] simplifiying candidate # 1538725308.888 * * * * [misc]progress: [ 53 / 72 ] simplifiying candidate # 1538725308.888 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1538725308.889 * * [misc]simplify: iters left: 6 (8 enodes) 1538725308.891 * * [misc]simplify: iters left: 5 (13 enodes) 1538725308.893 * * [misc]simplify: iters left: 4 (20 enodes) 1538725308.900 * * [misc]simplify: iters left: 3 (30 enodes) 1538725308.910 * * [misc]simplify: iters left: 2 (45 enodes) 1538725308.923 * * [misc]simplify: iters left: 1 (46 enodes) 1538725308.928 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1538725308.928 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))))) 1538725308.928 * * * * [misc]progress: [ 54 / 72 ] simplifiying candidate # 1538725308.928 * [enter]simplify: Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1538725308.929 * * [misc]simplify: iters left: 6 (9 enodes) 1538725308.931 * * [misc]simplify: iters left: 5 (14 enodes) 1538725308.933 * * [misc]simplify: iters left: 4 (21 enodes) 1538725308.938 * * [misc]simplify: iters left: 3 (31 enodes) 1538725308.944 * * [misc]simplify: iters left: 2 (46 enodes) 1538725308.953 * * [misc]simplify: iters left: 1 (48 enodes) 1538725308.959 * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1538725308.959 * [misc]simplify: Simplified (2 1) to (λ (N) (* (* (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))) 1538725308.959 * * * * [misc]progress: [ 55 / 72 ] simplifiying candidate # 1538725308.960 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1538725308.960 * * [misc]simplify: iters left: 6 (9 enodes) 1538725308.963 * * [misc]simplify: iters left: 5 (15 enodes) 1538725308.968 * * [misc]simplify: iters left: 4 (22 enodes) 1538725308.977 * * [misc]simplify: iters left: 3 (32 enodes) 1538725308.989 * * [misc]simplify: iters left: 2 (48 enodes) 1538725309.009 * * [misc]simplify: iters left: 1 (49 enodes) 1538725309.019 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1538725309.019 * [misc]simplify: Simplified (2 1) to (λ (N) (* (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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))) 1538725309.019 * * * * [misc]progress: [ 56 / 72 ] simplifiying candidate # 1538725309.020 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1538725309.021 * * [misc]simplify: iters left: 6 (8 enodes) 1538725309.024 * * [misc]simplify: iters left: 5 (13 enodes) 1538725309.030 * * [misc]simplify: iters left: 4 (20 enodes) 1538725309.039 * * [misc]simplify: iters left: 3 (30 enodes) 1538725309.048 * * [misc]simplify: iters left: 2 (45 enodes) 1538725309.066 * * [misc]simplify: iters left: 1 (46 enodes) 1538725309.075 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1538725309.075 * [misc]simplify: Simplified (2 1) to (λ (N) (* (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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))) 1538725309.075 * * * * [misc]progress: [ 57 / 72 ] simplifiying candidate # 1538725309.075 * [enter]simplify: Simplifying (sqrt 1) 1538725309.076 * * [misc]simplify: iters left: 1 (2 enodes) 1538725309.078 * [exit]simplify: Simplified to 1 1538725309.078 * [misc]simplify: Simplified (2 1) to (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))) 1538725309.078 * * * * [misc]progress: [ 58 / 72 ] simplifiying candidate # 1538725309.078 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1538725309.079 * * [misc]simplify: iters left: 6 (8 enodes) 1538725309.082 * * [misc]simplify: iters left: 5 (13 enodes) 1538725309.087 * * [misc]simplify: iters left: 4 (20 enodes) 1538725309.095 * * [misc]simplify: iters left: 3 (30 enodes) 1538725309.103 * * [misc]simplify: iters left: 2 (45 enodes) 1538725309.112 * * [misc]simplify: iters left: 1 (46 enodes) 1538725309.116 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1538725309.116 * [misc]simplify: Simplified (2 1) to (λ (N) (* (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 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))) 1538725309.116 * * * * [misc]progress: [ 59 / 72 ] simplifiying candidate # 1538725309.117 * * * * [misc]progress: [ 60 / 72 ] simplifiying candidate # 1538725309.117 * * * * [misc]progress: [ 61 / 72 ] simplifiying candidate # 1538725309.117 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725309.117 * * [misc]simplify: iters left: 6 (8 enodes) 1538725309.120 * * [misc]simplify: iters left: 5 (15 enodes) 1538725309.123 * * [misc]simplify: iters left: 4 (22 enodes) 1538725309.131 * * [misc]simplify: iters left: 3 (24 enodes) 1538725309.138 * * [misc]simplify: iters left: 2 (30 enodes) 1538725309.148 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1538725309.148 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))))) 1538725309.148 * * * * [misc]progress: [ 62 / 72 ] simplifiying candidate # 1538725309.149 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725309.149 * * [misc]simplify: iters left: 6 (8 enodes) 1538725309.153 * * [misc]simplify: iters left: 5 (15 enodes) 1538725309.159 * * [misc]simplify: iters left: 4 (22 enodes) 1538725309.165 * * [misc]simplify: iters left: 3 (24 enodes) 1538725309.172 * * [misc]simplify: iters left: 2 (30 enodes) 1538725309.178 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1538725309.178 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))))) 1538725309.178 * * * * [misc]progress: [ 63 / 72 ] simplifiying candidate # 1538725309.178 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725309.179 * * [misc]simplify: iters left: 6 (8 enodes) 1538725309.181 * * [misc]simplify: iters left: 5 (15 enodes) 1538725309.183 * * [misc]simplify: iters left: 4 (22 enodes) 1538725309.187 * * [misc]simplify: iters left: 3 (24 enodes) 1538725309.190 * * [misc]simplify: iters left: 2 (30 enodes) 1538725309.195 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1538725309.195 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))))) 1538725309.195 * * * * [misc]progress: [ 64 / 72 ] simplifiying candidate # 1538725309.196 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725309.197 * * [misc]simplify: iters left: 6 (8 enodes) 1538725309.199 * * [misc]simplify: iters left: 5 (15 enodes) 1538725309.202 * * [misc]simplify: iters left: 4 (22 enodes) 1538725309.205 * * [misc]simplify: iters left: 3 (24 enodes) 1538725309.209 * * [misc]simplify: iters left: 2 (30 enodes) 1538725309.214 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1538725309.214 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1538725309.214 * * * * [misc]progress: [ 65 / 72 ] simplifiying candidate # 1538725309.214 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725309.215 * * [misc]simplify: iters left: 6 (8 enodes) 1538725309.218 * * [misc]simplify: iters left: 5 (15 enodes) 1538725309.223 * * [misc]simplify: iters left: 4 (22 enodes) 1538725309.230 * * [misc]simplify: iters left: 3 (24 enodes) 1538725309.237 * * [misc]simplify: iters left: 2 (30 enodes) 1538725309.243 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1538725309.243 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1538725309.243 * * * * [misc]progress: [ 66 / 72 ] simplifiying candidate # 1538725309.244 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725309.244 * * [misc]simplify: iters left: 6 (8 enodes) 1538725309.246 * * [misc]simplify: iters left: 5 (15 enodes) 1538725309.249 * * [misc]simplify: iters left: 4 (22 enodes) 1538725309.252 * * [misc]simplify: iters left: 3 (24 enodes) 1538725309.256 * * [misc]simplify: iters left: 2 (30 enodes) 1538725309.261 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1538725309.261 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1538725309.261 * * * * [misc]progress: [ 67 / 72 ] simplifiying candidate # 1538725309.261 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725309.262 * * [misc]simplify: iters left: 6 (8 enodes) 1538725309.264 * * [misc]simplify: iters left: 5 (15 enodes) 1538725309.267 * * [misc]simplify: iters left: 4 (22 enodes) 1538725309.270 * * [misc]simplify: iters left: 3 (24 enodes) 1538725309.277 * * [misc]simplify: iters left: 2 (30 enodes) 1538725309.288 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1538725309.288 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1538725309.288 * * * * [misc]progress: [ 68 / 72 ] simplifiying candidate # 1538725309.288 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725309.290 * * [misc]simplify: iters left: 6 (8 enodes) 1538725309.292 * * [misc]simplify: iters left: 5 (15 enodes) 1538725309.294 * * [misc]simplify: iters left: 4 (22 enodes) 1538725309.298 * * [misc]simplify: iters left: 3 (24 enodes) 1538725309.301 * * [misc]simplify: iters left: 2 (30 enodes) 1538725309.307 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1538725309.307 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1538725309.307 * * * * [misc]progress: [ 69 / 72 ] simplifiying candidate # 1538725309.307 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1538725309.307 * * [misc]simplify: iters left: 6 (8 enodes) 1538725309.309 * * [misc]simplify: iters left: 5 (15 enodes) 1538725309.312 * * [misc]simplify: iters left: 4 (22 enodes) 1538725309.315 * * [misc]simplify: iters left: 3 (24 enodes) 1538725309.319 * * [misc]simplify: iters left: 2 (30 enodes) 1538725309.324 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1538725309.325 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1538725309.325 * * * * [misc]progress: [ 70 / 72 ] simplifiying candidate # 1538725309.325 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1538725309.325 * * [misc]simplify: iters left: 6 (7 enodes) 1538725309.327 * * [misc]simplify: iters left: 5 (14 enodes) 1538725309.330 * * [misc]simplify: iters left: 4 (21 enodes) 1538725309.333 * * [misc]simplify: iters left: 3 (23 enodes) 1538725309.337 * * [misc]simplify: iters left: 2 (29 enodes) 1538725309.342 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1538725309.342 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1538725309.342 * * * * [misc]progress: [ 71 / 72 ] simplifiying candidate # 1538725309.342 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1538725309.342 * * [misc]simplify: iters left: 6 (7 enodes) 1538725309.344 * * [misc]simplify: iters left: 5 (14 enodes) 1538725309.347 * * [misc]simplify: iters left: 4 (21 enodes) 1538725309.350 * * [misc]simplify: iters left: 3 (23 enodes) 1538725309.357 * * [misc]simplify: iters left: 2 (29 enodes) 1538725309.367 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1538725309.367 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1538725309.367 * * * * [misc]progress: [ 72 / 72 ] simplifiying candidate # 1538725309.367 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1538725309.368 * * [misc]simplify: iters left: 6 (7 enodes) 1538725309.373 * * [misc]simplify: iters left: 5 (14 enodes) 1538725309.378 * * [misc]simplify: iters left: 4 (21 enodes) 1538725309.385 * * [misc]simplify: iters left: 3 (23 enodes) 1538725309.392 * * [misc]simplify: iters left: 2 (29 enodes) 1538725309.402 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1538725309.402 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1538725309.402 * * * [misc]progress: adding candidates to table 1538725310.987 * [misc]progress: [Phase 3 of 3] Extracting. 1538725310.987 * * [misc]regime: Finding splitpoints for: (# # # # # # #) 1538725310.989 * * * [misc]regime-changes: Trying 2 branch expressions: (N (- (atan (+ N 1)) (atan N))) 1538725310.989 * * * * [misc]regimes: Trying to branch on N from (# # # # # # #) 1538725311.074 * * * * [misc]regimes: Trying to branch on (- (atan (+ N 1)) (atan N)) from (# # # # # # #) 1538725311.184 * * * [misc]regime: Found split indices: #