1543999009.473 * [misc]progress: [Phase 1 of 3] Setting up. 1543999009.473 * * * [misc]progress: [1/2] Preparing points 1543999009.473 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1543999009.473 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision 1543999009.474 * * * * [misc]points: Setting MPFR precision to 64 1543999009.475 * * * * [misc]points: Setting MPFR precision to 320 1543999009.475 * * * * [misc]points: Setting MPFR precision to 576 1543999009.476 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision 1543999009.477 * * * * [misc]points: Setting MPFR precision to 320 1543999009.478 * * * * [misc]points: Setting MPFR precision to 576 1543999009.478 * * * * [misc]points: Setting MPFR precision to 832 1543999009.479 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision 1543999009.480 * * * * [misc]points: Setting MPFR precision to 576 1543999009.482 * * * * [misc]points: Setting MPFR precision to 832 1543999009.484 * * * * [misc]points: Setting MPFR precision to 1088 1543999009.487 * * * * [misc]points: Setting MPFR precision to 1344 1543999009.490 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision 1543999009.492 * * * * [misc]points: Setting MPFR precision to 1088 1543999009.496 * * * * [misc]points: Setting MPFR precision to 1344 1543999009.501 * * * * [misc]points: Computing exacts for 256 points 1543999009.503 * * * * [misc]points: Setting MPFR precision to 1088 1543999009.518 * * * * [misc]points: Setting MPFR precision to 1344 1543999009.543 * * * * [misc]points: Filtering points with unrepresentable outputs 1543999009.543 * * * * [exit]points: Sampled 256 points with exact outputs 1543999009.543 * * * [misc]progress: [2/2] Setting up program. 1543999009.545 * [misc]progress: [Phase 2 of 3] Improving. 1543999009.545 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1543999009.546 * * [misc]simplify: iters left: 5 (6 enodes) 1543999009.546 * * [misc]simplify: iters left: 4 (11 enodes) 1543999009.548 * * [misc]simplify: iters left: 3 (12 enodes) 1543999009.549 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1543999009.565 * * [misc]progress: iteration 1 / 4 1543999009.565 * * * [misc]progress: picking best candidate 1543999009.569 * * * * [misc]pick: Picked # 1543999009.569 * * * [misc]progress: localizing error 1543999009.592 * * * [misc]progress: generating rewritten candidates 1543999009.592 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) 1543999009.597 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) 1543999009.598 * * * [misc]progress: generating series expansions 1543999009.598 * * * * [misc]progress: [ 1 / 2 ] generating series at (2) 1543999009.598 * [misc]backup-simplify: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 1543999009.598 * [misc]approximate: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 1543999009.598 * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 1543999009.598 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N 1543999009.599 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1543999009.599 * [misc]taylor: Taking taylor expansion of (atan N) in N 1543999009.599 * [misc]backup-simplify: Simplify (atan N) into (atan N) 1543999009.599 * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 1543999009.599 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N 1543999009.599 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1543999009.599 * [misc]taylor: Taking taylor expansion of (atan N) in N 1543999009.599 * [misc]backup-simplify: Simplify (atan N) into (atan N) 1543999009.600 * [misc]backup-simplify: Simplify (- (atan N)) into (- (atan N)) 1543999009.600 * [misc]backup-simplify: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 1543999009.600 * [misc]backup-simplify: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 1543999009.600 * [misc]backup-simplify: Simplify (- 0) into 0 1543999009.600 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543999009.600 * [misc]backup-simplify: Simplify 0 into 0 1543999009.601 * [misc]backup-simplify: Simplify (- 0) into 0 1543999009.601 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543999009.601 * [misc]backup-simplify: Simplify 0 into 0 1543999009.601 * [misc]backup-simplify: Simplify (- 0) into 0 1543999009.601 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543999009.601 * [misc]backup-simplify: Simplify 0 into 0 1543999009.601 * [misc]backup-simplify: Simplify (- 0) into 0 1543999009.601 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543999009.601 * [misc]backup-simplify: Simplify 0 into 0 1543999009.602 * [misc]backup-simplify: Simplify (- 0) into 0 1543999009.602 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543999009.602 * [misc]backup-simplify: Simplify 0 into 0 1543999009.602 * [misc]backup-simplify: Simplify (- 0) into 0 1543999009.602 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543999009.602 * [misc]backup-simplify: Simplify 0 into 0 1543999009.602 * [misc]backup-simplify: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 1543999009.602 * [misc]backup-simplify: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 1543999009.602 * [misc]approximate: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 1543999009.602 * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 1543999009.602 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 1543999009.603 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1543999009.603 * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N 1543999009.603 * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 1543999009.603 * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 1543999009.603 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 1543999009.603 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1543999009.603 * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N 1543999009.603 * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 1543999009.603 * [misc]backup-simplify: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 1543999009.603 * [misc]backup-simplify: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 1543999009.603 * [misc]backup-simplify: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 1543999009.604 * [misc]backup-simplify: Simplify (- 0) into 0 1543999009.604 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543999009.604 * [misc]backup-simplify: Simplify 0 into 0 1543999009.604 * [misc]backup-simplify: Simplify (- 0) into 0 1543999009.604 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543999009.604 * [misc]backup-simplify: Simplify 0 into 0 1543999009.604 * [misc]backup-simplify: Simplify (- 0) into 0 1543999009.604 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543999009.604 * [misc]backup-simplify: Simplify 0 into 0 1543999009.605 * [misc]backup-simplify: Simplify (- 0) into 0 1543999009.605 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543999009.605 * [misc]backup-simplify: Simplify 0 into 0 1543999009.605 * [misc]backup-simplify: Simplify (- 0) into 0 1543999009.605 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543999009.605 * [misc]backup-simplify: Simplify 0 into 0 1543999009.605 * [misc]backup-simplify: Simplify (- 0) into 0 1543999009.605 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543999009.606 * [misc]backup-simplify: Simplify 0 into 0 1543999009.606 * [misc]backup-simplify: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 1543999009.606 * [misc]backup-simplify: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 1543999009.606 * [misc]approximate: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 1543999009.606 * [misc]taylor: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 1543999009.606 * [misc]taylor: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 1543999009.606 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1543999009.606 * [misc]taylor: Taking taylor expansion of (atan (/ -1 N)) in N 1543999009.606 * [misc]backup-simplify: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 1543999009.606 * [misc]taylor: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 1543999009.606 * [misc]taylor: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 1543999009.606 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1543999009.606 * [misc]taylor: Taking taylor expansion of (atan (/ -1 N)) in N 1543999009.606 * [misc]backup-simplify: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 1543999009.607 * [misc]backup-simplify: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 1543999009.607 * [misc]backup-simplify: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 1543999009.607 * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 1543999009.607 * [misc]backup-simplify: Simplify (- 0) into 0 1543999009.607 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543999009.607 * [misc]backup-simplify: Simplify 0 into 0 1543999009.607 * [misc]backup-simplify: Simplify (- 0) into 0 1543999009.608 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543999009.608 * [misc]backup-simplify: Simplify 0 into 0 1543999009.608 * [misc]backup-simplify: Simplify (- 0) into 0 1543999009.608 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543999009.608 * [misc]backup-simplify: Simplify 0 into 0 1543999009.608 * [misc]backup-simplify: Simplify (- 0) into 0 1543999009.608 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543999009.608 * [misc]backup-simplify: Simplify 0 into 0 1543999009.608 * [misc]backup-simplify: Simplify (- 0) into 0 1543999009.609 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543999009.609 * [misc]backup-simplify: Simplify 0 into 0 1543999009.609 * [misc]backup-simplify: Simplify (- 0) into 0 1543999009.609 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543999009.609 * [misc]backup-simplify: Simplify 0 into 0 1543999009.609 * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 1543999009.609 * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) 1543999009.609 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1543999009.609 * [misc]approximate: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 1543999009.609 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N 1543999009.610 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1543999009.610 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N 1543999009.610 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1543999009.610 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1543999009.610 * [misc]backup-simplify: Simplify 0 into 0 1543999009.610 * [misc]backup-simplify: Simplify 0 into 0 1543999009.610 * [misc]backup-simplify: Simplify 0 into 0 1543999009.610 * [misc]backup-simplify: Simplify 0 into 0 1543999009.610 * [misc]backup-simplify: Simplify 0 into 0 1543999009.610 * [misc]backup-simplify: Simplify 0 into 0 1543999009.610 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1543999009.610 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1543999009.610 * [misc]approximate: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 1543999009.610 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 1543999009.610 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1543999009.610 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 1543999009.610 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1543999009.611 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1543999009.611 * [misc]backup-simplify: Simplify 0 into 0 1543999009.611 * [misc]backup-simplify: Simplify 0 into 0 1543999009.611 * [misc]backup-simplify: Simplify 0 into 0 1543999009.611 * [misc]backup-simplify: Simplify 0 into 0 1543999009.611 * [misc]backup-simplify: Simplify 0 into 0 1543999009.611 * [misc]backup-simplify: Simplify 0 into 0 1543999009.611 * [misc]backup-simplify: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) 1543999009.611 * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) 1543999009.611 * [misc]approximate: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0 1543999009.611 * [misc]taylor: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 1543999009.611 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1543999009.611 * [misc]taylor: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 1543999009.611 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1543999009.611 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1543999009.612 * [misc]backup-simplify: Simplify 0 into 0 1543999009.612 * [misc]backup-simplify: Simplify 0 into 0 1543999009.612 * [misc]backup-simplify: Simplify 0 into 0 1543999009.612 * [misc]backup-simplify: Simplify 0 into 0 1543999009.612 * [misc]backup-simplify: Simplify 0 into 0 1543999009.612 * [misc]backup-simplify: Simplify 0 into 0 1543999009.612 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) 1543999009.612 * * * [misc]progress: simplifying candidates 1543999009.612 * * * * [misc]progress: [ 1 / 28 ] simplifiying candidate # 1543999009.612 * [enter]simplify: Simplifying (- (+ N 1) N) 1543999009.612 * * [misc]simplify: iters left: 4 (4 enodes) 1543999009.614 * * [misc]simplify: iters left: 3 (11 enodes) 1543999009.617 * * [misc]simplify: iters left: 2 (19 enodes) 1543999009.623 * * [misc]simplify: iters left: 1 (25 enodes) 1543999009.626 * [exit]simplify: Simplified to 1 1543999009.626 * [misc]simplify: Simplified (2 1) to (λ (N) (atan2 1 (+ 1 (* (+ N 1) N)))) 1543999009.626 * [enter]simplify: Simplifying (+ 1 (* (+ N 1) N)) 1543999009.626 * * [misc]simplify: iters left: 6 (5 enodes) 1543999009.628 * * [misc]simplify: iters left: 5 (10 enodes) 1543999009.631 * * [misc]simplify: iters left: 4 (17 enodes) 1543999009.636 * * [misc]simplify: iters left: 3 (27 enodes) 1543999009.642 * * [misc]simplify: iters left: 2 (42 enodes) 1543999009.657 * * [misc]simplify: iters left: 1 (43 enodes) 1543999009.661 * [exit]simplify: Simplified to (+ (+ N 1) (* N N)) 1543999009.661 * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ N 1) (* N N)))) 1543999009.661 * * * * [misc]progress: [ 2 / 28 ] simplifiying candidate # 1543999009.661 * [enter]simplify: Simplifying (/ (exp (atan (+ N 1))) (exp (atan N))) 1543999009.661 * * [misc]simplify: iters left: 6 (8 enodes) 1543999009.662 * * [misc]simplify: iters left: 5 (13 enodes) 1543999009.664 * * [misc]simplify: iters left: 4 (15 enodes) 1543999009.665 * * [misc]simplify: iters left: 3 (18 enodes) 1543999009.668 * * [misc]simplify: iters left: 2 (20 enodes) 1543999009.670 * * [misc]simplify: iters left: 1 (24 enodes) 1543999009.673 * [exit]simplify: Simplified to (exp (- (atan (+ 1 N)) (atan N))) 1543999009.673 * [misc]simplify: Simplified (2 1) to (λ (N) (log (exp (- (atan (+ 1 N)) (atan N))))) 1543999009.673 * * * * [misc]progress: [ 3 / 28 ] simplifiying candidate # 1543999009.673 * * * * [misc]progress: [ 4 / 28 ] simplifiying candidate # 1543999009.673 * * * * [misc]progress: [ 5 / 28 ] simplifiying candidate # 1543999009.673 * * * * [misc]progress: [ 6 / 28 ] simplifiying candidate # 1543999009.673 * * * * [misc]progress: [ 7 / 28 ] simplifiying candidate # 1543999009.673 * * * * [misc]progress: [ 8 / 28 ] simplifiying candidate # 1543999009.673 * * * * [misc]progress: [ 9 / 28 ] simplifiying candidate # 1543999009.674 * * * * [misc]progress: [ 10 / 28 ] simplifiying candidate # 1543999009.674 * * * * [misc]progress: [ 11 / 28 ] simplifiying candidate # 1543999009.674 * * * * [misc]progress: [ 12 / 28 ] simplifiying candidate # 1543999009.674 * * * * [misc]progress: [ 13 / 28 ] simplifiying candidate # 1543999009.674 * [enter]simplify: Simplifying (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) 1543999009.674 * * [misc]simplify: iters left: 6 (8 enodes) 1543999009.675 * * [misc]simplify: iters left: 5 (12 enodes) 1543999009.681 * [exit]simplify: Simplified to (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) 1543999009.681 * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) (- (sqrt (atan (+ N 1))) (sqrt (atan N))))) 1543999009.681 * [enter]simplify: Simplifying (- (sqrt (atan (+ N 1))) (sqrt (atan N))) 1543999009.681 * * [misc]simplify: iters left: 6 (8 enodes) 1543999009.682 * * [misc]simplify: iters left: 5 (13 enodes) 1543999009.684 * * [misc]simplify: iters left: 4 (14 enodes) 1543999009.685 * [exit]simplify: Simplified to (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) 1543999009.685 * [misc]simplify: Simplified (2 2) to (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N))))) 1543999009.685 * * * * [misc]progress: [ 14 / 28 ] simplifiying candidate # 1543999009.686 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1543999009.686 * * [misc]simplify: iters left: 5 (6 enodes) 1543999009.686 * * [misc]simplify: iters left: 4 (11 enodes) 1543999009.688 * * [misc]simplify: iters left: 3 (12 enodes) 1543999009.689 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1543999009.689 * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (atan (+ 1 N)) (atan N)))) 1543999009.689 * * * * [misc]progress: [ 15 / 28 ] simplifiying candidate # 1543999009.689 * * * * [misc]progress: [ 16 / 28 ] simplifiying candidate # 1543999009.689 * * * * [misc]progress: [ 17 / 28 ] simplifiying candidate # 1543999009.689 * * * * [misc]progress: [ 18 / 28 ] simplifiying candidate # 1543999009.689 * * * * [misc]progress: [ 19 / 28 ] simplifiying candidate # 1543999009.689 * * * * [misc]progress: [ 20 / 28 ] simplifiying candidate # 1543999009.689 * * * * [misc]progress: [ 21 / 28 ] simplifiying candidate # 1543999009.690 * * * * [misc]progress: [ 22 / 28 ] simplifiying candidate # 1543999009.690 * * * * [misc]progress: [ 23 / 28 ] simplifiying candidate # 1543999009.690 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1543999009.690 * * [misc]simplify: iters left: 5 (6 enodes) 1543999009.691 * * [misc]simplify: iters left: 4 (11 enodes) 1543999009.692 * * [misc]simplify: iters left: 3 (12 enodes) 1543999009.694 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1543999009.694 * [misc]simplify: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1543999009.694 * * * * [misc]progress: [ 24 / 28 ] simplifiying candidate # 1543999009.694 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1543999009.694 * * [misc]simplify: iters left: 5 (6 enodes) 1543999009.695 * * [misc]simplify: iters left: 4 (11 enodes) 1543999009.696 * * [misc]simplify: iters left: 3 (12 enodes) 1543999009.697 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1543999009.697 * [misc]simplify: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1543999009.697 * * * * [misc]progress: [ 25 / 28 ] simplifiying candidate # 1543999009.698 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1543999009.698 * * [misc]simplify: iters left: 5 (6 enodes) 1543999009.698 * * [misc]simplify: iters left: 4 (11 enodes) 1543999009.700 * * [misc]simplify: iters left: 3 (12 enodes) 1543999009.701 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1543999009.701 * [misc]simplify: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1543999009.701 * * * * [misc]progress: [ 26 / 28 ] simplifiying candidate # 1543999009.701 * [enter]simplify: Simplifying (atan (+ N 1)) 1543999009.701 * * [misc]simplify: iters left: 3 (4 enodes) 1543999009.702 * * [misc]simplify: iters left: 2 (7 enodes) 1543999009.703 * [exit]simplify: Simplified to (atan (+ 1 N)) 1543999009.703 * [misc]simplify: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1543999009.703 * * * * [misc]progress: [ 27 / 28 ] simplifiying candidate # 1543999009.703 * [enter]simplify: Simplifying (atan (+ N 1)) 1543999009.703 * * [misc]simplify: iters left: 3 (4 enodes) 1543999009.704 * * [misc]simplify: iters left: 2 (7 enodes) 1543999009.704 * [exit]simplify: Simplified to (atan (+ 1 N)) 1543999009.704 * [misc]simplify: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1543999009.704 * * * * [misc]progress: [ 28 / 28 ] simplifiying candidate # 1543999009.705 * [enter]simplify: Simplifying (atan (+ N 1)) 1543999009.705 * * [misc]simplify: iters left: 3 (4 enodes) 1543999009.705 * * [misc]simplify: iters left: 2 (7 enodes) 1543999009.706 * [exit]simplify: Simplified to (atan (+ 1 N)) 1543999009.706 * [misc]simplify: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1543999009.706 * * * [misc]progress: adding candidates to table 1543999009.859 * * [misc]progress: iteration 2 / 4 1543999009.859 * * * [misc]progress: picking best candidate 1543999009.861 * * * * [misc]pick: Picked # 1543999009.861 * * * [misc]progress: localizing error 1543999009.887 * * * [misc]progress: generating rewritten candidates 1543999009.887 * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) 1543999009.888 * * * [misc]progress: generating series expansions 1543999009.888 * * * * [misc]progress: [ 1 / 1 ] generating series at (2) 1543999009.888 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999009.888 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1543999009.888 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1543999009.888 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999009.889 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1543999009.889 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999009.889 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999009.889 * [misc]backup-simplify: Simplify 0 into 0 1543999009.889 * [misc]backup-simplify: Simplify 0 into 0 1543999009.889 * [misc]backup-simplify: Simplify 0 into 0 1543999009.889 * [misc]backup-simplify: Simplify 0 into 0 1543999009.889 * [misc]backup-simplify: Simplify 0 into 0 1543999009.889 * [misc]backup-simplify: Simplify 0 into 0 1543999009.889 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999009.890 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1543999009.890 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1543999009.890 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1543999009.890 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1543999009.890 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1543999009.890 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1543999009.890 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1543999009.890 * [misc]backup-simplify: Simplify 0 into 0 1543999009.890 * [misc]backup-simplify: Simplify 0 into 0 1543999009.890 * [misc]backup-simplify: Simplify 0 into 0 1543999009.890 * [misc]backup-simplify: Simplify 0 into 0 1543999009.890 * [misc]backup-simplify: Simplify 0 into 0 1543999009.891 * [misc]backup-simplify: Simplify 0 into 0 1543999009.891 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999009.891 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1543999009.891 * [misc]approximate: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1543999009.891 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1543999009.891 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1543999009.891 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1543999009.892 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1543999009.892 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1543999009.892 * [misc]backup-simplify: Simplify 0 into 0 1543999009.892 * [misc]backup-simplify: Simplify 0 into 0 1543999009.892 * [misc]backup-simplify: Simplify 0 into 0 1543999009.892 * [misc]backup-simplify: Simplify 0 into 0 1543999009.892 * [misc]backup-simplify: Simplify 0 into 0 1543999009.892 * [misc]backup-simplify: Simplify 0 into 0 1543999009.892 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999009.893 * * * [misc]progress: simplifying candidates 1543999009.893 * * * * [misc]progress: [ 1 / 10 ] simplifiying candidate # 1543999009.893 * * * * [misc]progress: [ 2 / 10 ] simplifiying candidate # 1543999009.893 * * * * [misc]progress: [ 3 / 10 ] simplifiying candidate # 1543999009.893 * * * * [misc]progress: [ 4 / 10 ] simplifiying candidate # 1543999009.893 * * * * [misc]progress: [ 5 / 10 ] simplifiying candidate # 1543999009.893 * * * * [misc]progress: [ 6 / 10 ] simplifiying candidate # 1543999009.893 * * * * [misc]progress: [ 7 / 10 ] simplifiying candidate # 1543999009.893 * * * * [misc]progress: [ 8 / 10 ] simplifiying candidate # 1543999009.893 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1543999009.893 * * [misc]simplify: iters left: 6 (7 enodes) 1543999009.898 * * [misc]simplify: iters left: 5 (14 enodes) 1543999009.902 * * [misc]simplify: iters left: 4 (21 enodes) 1543999009.906 * * [misc]simplify: iters left: 3 (23 enodes) 1543999009.911 * * [misc]simplify: iters left: 2 (29 enodes) 1543999009.918 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1543999009.918 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1543999009.918 * * * * [misc]progress: [ 9 / 10 ] simplifiying candidate # 1543999009.918 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1543999009.918 * * [misc]simplify: iters left: 6 (7 enodes) 1543999009.920 * * [misc]simplify: iters left: 5 (14 enodes) 1543999009.922 * * [misc]simplify: iters left: 4 (21 enodes) 1543999009.924 * * [misc]simplify: iters left: 3 (23 enodes) 1543999009.927 * * [misc]simplify: iters left: 2 (29 enodes) 1543999009.931 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1543999009.931 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1543999009.931 * * * * [misc]progress: [ 10 / 10 ] simplifiying candidate # 1543999009.931 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1543999009.931 * * [misc]simplify: iters left: 6 (7 enodes) 1543999009.932 * * [misc]simplify: iters left: 5 (14 enodes) 1543999009.934 * * [misc]simplify: iters left: 4 (21 enodes) 1543999009.937 * * [misc]simplify: iters left: 3 (23 enodes) 1543999009.940 * * [misc]simplify: iters left: 2 (29 enodes) 1543999009.944 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1543999009.944 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1543999009.944 * * * [misc]progress: adding candidates to table 1543999010.009 * * [misc]progress: iteration 3 / 4 1543999010.009 * * * [misc]progress: picking best candidate 1543999010.015 * * * * [misc]pick: Picked # 1543999010.015 * * * [misc]progress: localizing error 1543999010.044 * * * [misc]progress: generating rewritten candidates 1543999010.044 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) 1543999010.044 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2) 1543999010.057 * * * [misc]progress: generating series expansions 1543999010.057 * * * * [misc]progress: [ 1 / 2 ] generating series at (2) 1543999010.057 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999010.057 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1543999010.057 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1543999010.057 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999010.057 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1543999010.057 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999010.058 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999010.058 * [misc]backup-simplify: Simplify 0 into 0 1543999010.058 * [misc]backup-simplify: Simplify 0 into 0 1543999010.058 * [misc]backup-simplify: Simplify 0 into 0 1543999010.058 * [misc]backup-simplify: Simplify 0 into 0 1543999010.058 * [misc]backup-simplify: Simplify 0 into 0 1543999010.058 * [misc]backup-simplify: Simplify 0 into 0 1543999010.058 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999010.058 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1543999010.058 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1543999010.058 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1543999010.058 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1543999010.058 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1543999010.058 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1543999010.058 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1543999010.058 * [misc]backup-simplify: Simplify 0 into 0 1543999010.058 * [misc]backup-simplify: Simplify 0 into 0 1543999010.058 * [misc]backup-simplify: Simplify 0 into 0 1543999010.058 * [misc]backup-simplify: Simplify 0 into 0 1543999010.059 * [misc]backup-simplify: Simplify 0 into 0 1543999010.059 * [misc]backup-simplify: Simplify 0 into 0 1543999010.059 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999010.059 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1543999010.059 * [misc]approximate: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1543999010.059 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1543999010.059 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1543999010.059 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1543999010.059 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1543999010.059 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1543999010.059 * [misc]backup-simplify: Simplify 0 into 0 1543999010.059 * [misc]backup-simplify: Simplify 0 into 0 1543999010.059 * [misc]backup-simplify: Simplify 0 into 0 1543999010.059 * [misc]backup-simplify: Simplify 0 into 0 1543999010.059 * [misc]backup-simplify: Simplify 0 into 0 1543999010.059 * [misc]backup-simplify: Simplify 0 into 0 1543999010.060 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999010.060 * * * * [misc]progress: [ 2 / 2 ] generating series at (2 2) 1543999010.060 * [misc]backup-simplify: Simplify (+ N (+ (pow N 2) 1)) into (+ N (+ (pow N 2) 1)) 1543999010.060 * [misc]approximate: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in (N) around 0 1543999010.060 * [misc]taylor: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N 1543999010.060 * [misc]taylor: Taking taylor expansion of N in N 1543999010.060 * [misc]backup-simplify: Simplify 0 into 0 1543999010.060 * [misc]backup-simplify: Simplify 1 into 1 1543999010.060 * [misc]taylor: Taking taylor expansion of (+ (pow N 2) 1) in N 1543999010.060 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1543999010.060 * [misc]taylor: Taking taylor expansion of N in N 1543999010.060 * [misc]backup-simplify: Simplify 0 into 0 1543999010.060 * [misc]backup-simplify: Simplify 1 into 1 1543999010.060 * [misc]taylor: Taking taylor expansion of 1 in N 1543999010.060 * [misc]backup-simplify: Simplify 1 into 1 1543999010.060 * [misc]taylor: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N 1543999010.060 * [misc]taylor: Taking taylor expansion of N in N 1543999010.060 * [misc]backup-simplify: Simplify 0 into 0 1543999010.060 * [misc]backup-simplify: Simplify 1 into 1 1543999010.060 * [misc]taylor: Taking taylor expansion of (+ (pow N 2) 1) in N 1543999010.060 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1543999010.060 * [misc]taylor: Taking taylor expansion of N in N 1543999010.060 * [misc]backup-simplify: Simplify 0 into 0 1543999010.060 * [misc]backup-simplify: Simplify 1 into 1 1543999010.060 * [misc]taylor: Taking taylor expansion of 1 in N 1543999010.060 * [misc]backup-simplify: Simplify 1 into 1 1543999010.060 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1543999010.060 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1543999010.061 * [misc]backup-simplify: Simplify 1 into 1 1543999010.061 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543999010.061 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1543999010.061 * [misc]backup-simplify: Simplify 1 into 1 1543999010.061 * [misc]backup-simplify: Simplify (* 1 1) into 1 1543999010.061 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1543999010.061 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1543999010.061 * [misc]backup-simplify: Simplify 1 into 1 1543999010.061 * [misc]backup-simplify: Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1)) 1543999010.061 * [misc]backup-simplify: Simplify (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1)) into (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 1543999010.061 * [misc]approximate: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in (N) around 0 1543999010.061 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in N 1543999010.061 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1543999010.061 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1543999010.061 * [misc]taylor: Taking taylor expansion of N in N 1543999010.061 * [misc]backup-simplify: Simplify 0 into 0 1543999010.062 * [misc]backup-simplify: Simplify 1 into 1 1543999010.062 * [misc]backup-simplify: Simplify (* 1 1) into 1 1543999010.062 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543999010.062 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1543999010.062 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1543999010.062 * [misc]taylor: Taking taylor expansion of N in N 1543999010.062 * [misc]backup-simplify: Simplify 0 into 0 1543999010.062 * [misc]backup-simplify: Simplify 1 into 1 1543999010.062 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543999010.062 * [misc]taylor: Taking taylor expansion of 1 in N 1543999010.062 * [misc]backup-simplify: Simplify 1 into 1 1543999010.062 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in N 1543999010.062 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1543999010.062 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1543999010.062 * [misc]taylor: Taking taylor expansion of N in N 1543999010.062 * [misc]backup-simplify: Simplify 0 into 0 1543999010.062 * [misc]backup-simplify: Simplify 1 into 1 1543999010.062 * [misc]backup-simplify: Simplify (* 1 1) into 1 1543999010.062 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543999010.062 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1543999010.062 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1543999010.062 * [misc]taylor: Taking taylor expansion of N in N 1543999010.062 * [misc]backup-simplify: Simplify 0 into 0 1543999010.062 * [misc]backup-simplify: Simplify 1 into 1 1543999010.062 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543999010.062 * [misc]taylor: Taking taylor expansion of 1 in N 1543999010.062 * [misc]backup-simplify: Simplify 1 into 1 1543999010.063 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1543999010.063 * [misc]backup-simplify: Simplify 1 into 1 1543999010.063 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1543999010.063 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1543999010.063 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1543999010.063 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1543999010.063 * [misc]backup-simplify: Simplify 1 into 1 1543999010.063 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1543999010.064 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543999010.064 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1543999010.064 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1543999010.064 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1543999010.064 * [misc]backup-simplify: Simplify 1 into 1 1543999010.064 * [misc]backup-simplify: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1)) 1543999010.064 * [misc]backup-simplify: Simplify (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1)) into (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 1543999010.064 * [misc]approximate: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in (N) around 0 1543999010.064 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in N 1543999010.064 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 1543999010.064 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1543999010.064 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1543999010.064 * [misc]taylor: Taking taylor expansion of N in N 1543999010.064 * [misc]backup-simplify: Simplify 0 into 0 1543999010.064 * [misc]backup-simplify: Simplify 1 into 1 1543999010.064 * [misc]backup-simplify: Simplify (* 1 1) into 1 1543999010.065 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543999010.065 * [misc]taylor: Taking taylor expansion of 1 in N 1543999010.065 * [misc]backup-simplify: Simplify 1 into 1 1543999010.065 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1543999010.065 * [misc]taylor: Taking taylor expansion of N in N 1543999010.065 * [misc]backup-simplify: Simplify 0 into 0 1543999010.065 * [misc]backup-simplify: Simplify 1 into 1 1543999010.065 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543999010.065 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in N 1543999010.065 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 1543999010.065 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1543999010.065 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1543999010.065 * [misc]taylor: Taking taylor expansion of N in N 1543999010.065 * [misc]backup-simplify: Simplify 0 into 0 1543999010.065 * [misc]backup-simplify: Simplify 1 into 1 1543999010.065 * [misc]backup-simplify: Simplify (* 1 1) into 1 1543999010.065 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543999010.065 * [misc]taylor: Taking taylor expansion of 1 in N 1543999010.065 * [misc]backup-simplify: Simplify 1 into 1 1543999010.065 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1543999010.065 * [misc]taylor: Taking taylor expansion of N in N 1543999010.065 * [misc]backup-simplify: Simplify 0 into 0 1543999010.065 * [misc]backup-simplify: Simplify 1 into 1 1543999010.065 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1543999010.065 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1543999010.066 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1543999010.066 * [misc]backup-simplify: Simplify 1 into 1 1543999010.066 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1543999010.066 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1543999010.066 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1543999010.066 * [misc]backup-simplify: Simplify (- 1) into -1 1543999010.066 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1543999010.066 * [misc]backup-simplify: Simplify -1 into -1 1543999010.066 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1543999010.066 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1543999010.067 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1543999010.067 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1543999010.067 * [misc]backup-simplify: Simplify (- 0) into 0 1543999010.067 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1543999010.067 * [misc]backup-simplify: Simplify 1 into 1 1543999010.067 * [misc]backup-simplify: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1)) 1543999010.067 * * * [misc]progress: simplifying candidates 1543999010.067 * * * * [misc]progress: [ 1 / 24 ] simplifiying candidate # 1543999010.067 * * * * [misc]progress: [ 2 / 24 ] simplifiying candidate # 1543999010.067 * * * * [misc]progress: [ 3 / 24 ] simplifiying candidate # 1543999010.067 * * * * [misc]progress: [ 4 / 24 ] simplifiying candidate # 1543999010.067 * * * * [misc]progress: [ 5 / 24 ] simplifiying candidate # 1543999010.067 * * * * [misc]progress: [ 6 / 24 ] simplifiying candidate # 1543999010.067 * * * * [misc]progress: [ 7 / 24 ] simplifiying candidate # 1543999010.067 * * * * [misc]progress: [ 8 / 24 ] simplifiying candidate # 1543999010.067 * * * * [misc]progress: [ 9 / 24 ] simplifiying candidate # 1543999010.067 * * * * [misc]progress: [ 10 / 24 ] simplifiying candidate # 1543999010.068 * * * * [misc]progress: [ 11 / 24 ] simplifiying candidate # 1543999010.068 * * * * [misc]progress: [ 12 / 24 ] simplifiying candidate # 1543999010.068 * * * * [misc]progress: [ 13 / 24 ] simplifiying candidate # 1543999010.068 * * * * [misc]progress: [ 14 / 24 ] simplifiying candidate # 1543999010.068 * * * * [misc]progress: [ 15 / 24 ] simplifiying candidate # 1543999010.068 * * * * [misc]progress: [ 16 / 24 ] simplifiying candidate # 1543999010.068 * * * * [misc]progress: [ 17 / 24 ] simplifiying candidate # 1543999010.068 * * * * [misc]progress: [ 18 / 24 ] simplifiying candidate # 1543999010.068 * * * * [misc]progress: [ 19 / 24 ] simplifiying candidate # 1543999010.068 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1543999010.068 * * [misc]simplify: iters left: 6 (7 enodes) 1543999010.069 * * [misc]simplify: iters left: 5 (14 enodes) 1543999010.071 * * [misc]simplify: iters left: 4 (21 enodes) 1543999010.074 * * [misc]simplify: iters left: 3 (23 enodes) 1543999010.076 * * [misc]simplify: iters left: 2 (29 enodes) 1543999010.083 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1543999010.083 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1543999010.083 * * * * [misc]progress: [ 20 / 24 ] simplifiying candidate # 1543999010.083 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1543999010.083 * * [misc]simplify: iters left: 6 (7 enodes) 1543999010.084 * * [misc]simplify: iters left: 5 (14 enodes) 1543999010.086 * * [misc]simplify: iters left: 4 (21 enodes) 1543999010.089 * * [misc]simplify: iters left: 3 (23 enodes) 1543999010.091 * * [misc]simplify: iters left: 2 (29 enodes) 1543999010.096 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1543999010.096 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1543999010.096 * * * * [misc]progress: [ 21 / 24 ] simplifiying candidate # 1543999010.096 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1543999010.096 * * [misc]simplify: iters left: 6 (7 enodes) 1543999010.097 * * [misc]simplify: iters left: 5 (14 enodes) 1543999010.099 * * [misc]simplify: iters left: 4 (21 enodes) 1543999010.102 * * [misc]simplify: iters left: 3 (23 enodes) 1543999010.104 * * [misc]simplify: iters left: 2 (29 enodes) 1543999010.108 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1543999010.108 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1543999010.108 * * * * [misc]progress: [ 22 / 24 ] simplifiying candidate # 1543999010.108 * [enter]simplify: Simplifying (+ N (+ (pow N 2) 1)) 1543999010.108 * * [misc]simplify: iters left: 5 (6 enodes) 1543999010.109 * * [misc]simplify: iters left: 4 (13 enodes) 1543999010.111 * * [misc]simplify: iters left: 3 (20 enodes) 1543999010.113 * * [misc]simplify: iters left: 2 (22 enodes) 1543999010.116 * * [misc]simplify: iters left: 1 (28 enodes) 1543999010.120 * [exit]simplify: Simplified to (+ (+ 1 N) (* N N)) 1543999010.120 * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ 1 N) (* N N)))) 1543999010.120 * * * * [misc]progress: [ 23 / 24 ] simplifiying candidate # 1543999010.120 * [enter]simplify: Simplifying (+ N (+ (pow N 2) 1)) 1543999010.120 * * [misc]simplify: iters left: 5 (6 enodes) 1543999010.121 * * [misc]simplify: iters left: 4 (13 enodes) 1543999010.122 * * [misc]simplify: iters left: 3 (20 enodes) 1543999010.125 * * [misc]simplify: iters left: 2 (22 enodes) 1543999010.127 * * [misc]simplify: iters left: 1 (28 enodes) 1543999010.131 * [exit]simplify: Simplified to (+ (+ 1 N) (* N N)) 1543999010.131 * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ 1 N) (* N N)))) 1543999010.131 * * * * [misc]progress: [ 24 / 24 ] simplifiying candidate # 1543999010.131 * [enter]simplify: Simplifying (+ N (+ (pow N 2) 1)) 1543999010.131 * * [misc]simplify: iters left: 5 (6 enodes) 1543999010.132 * * [misc]simplify: iters left: 4 (13 enodes) 1543999010.134 * * [misc]simplify: iters left: 3 (20 enodes) 1543999010.137 * * [misc]simplify: iters left: 2 (22 enodes) 1543999010.141 * * [misc]simplify: iters left: 1 (28 enodes) 1543999010.145 * [exit]simplify: Simplified to (+ (+ 1 N) (* N N)) 1543999010.145 * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ 1 N) (* N N)))) 1543999010.145 * * * [misc]progress: adding candidates to table 1543999010.303 * * [misc]progress: iteration 4 / 4 1543999010.303 * * * [misc]progress: picking best candidate 1543999010.310 * * * * [misc]pick: Picked # 1543999010.310 * * * [misc]progress: localizing error 1543999010.315 * * * [misc]progress: generating rewritten candidates 1543999010.315 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) 1543999010.316 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1543999010.316 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1543999010.322 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) 1543999010.322 * * * [misc]progress: generating series expansions 1543999010.322 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) 1543999010.323 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1543999010.323 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 1543999010.323 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1543999010.323 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1543999010.323 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999010.323 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1543999010.323 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1543999010.323 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1543999010.323 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1543999010.323 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999010.323 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1543999010.323 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1543999010.324 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1543999010.324 * [misc]backup-simplify: Simplify 0 into 0 1543999010.324 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1543999010.324 * [misc]backup-simplify: Simplify 0 into 0 1543999010.325 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1543999010.325 * [misc]backup-simplify: Simplify 0 into 0 1543999010.325 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1543999010.325 * [misc]backup-simplify: Simplify 0 into 0 1543999010.326 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1543999010.326 * [misc]backup-simplify: Simplify 0 into 0 1543999010.326 * [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 1543999010.326 * [misc]backup-simplify: Simplify 0 into 0 1543999010.326 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1543999010.327 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1543999010.327 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 1543999010.327 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1543999010.327 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1543999010.327 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1543999010.327 * [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)))) 1543999010.327 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1543999010.327 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1543999010.327 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1543999010.327 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1543999010.327 * [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)))) 1543999010.327 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1543999010.328 * [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)))) 1543999010.328 * [misc]backup-simplify: Simplify 0 into 0 1543999010.328 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1543999010.328 * [misc]backup-simplify: Simplify 0 into 0 1543999010.329 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1543999010.329 * [misc]backup-simplify: Simplify 0 into 0 1543999010.329 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1543999010.329 * [misc]backup-simplify: Simplify 0 into 0 1543999010.330 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1543999010.330 * [misc]backup-simplify: Simplify 0 into 0 1543999010.330 * [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 1543999010.330 * [misc]backup-simplify: Simplify 0 into 0 1543999010.330 * [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)))) 1543999010.331 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1543999010.331 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 1543999010.331 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1543999010.331 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1543999010.331 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1543999010.331 * [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)))) 1543999010.331 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1543999010.331 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1543999010.331 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1543999010.331 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1543999010.331 * [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)))) 1543999010.331 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1543999010.332 * [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)))) 1543999010.332 * [misc]backup-simplify: Simplify 0 into 0 1543999010.332 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1543999010.332 * [misc]backup-simplify: Simplify 0 into 0 1543999010.333 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1543999010.333 * [misc]backup-simplify: Simplify 0 into 0 1543999010.333 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1543999010.333 * [misc]backup-simplify: Simplify 0 into 0 1543999010.334 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1543999010.334 * [misc]backup-simplify: Simplify 0 into 0 1543999010.334 * [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 1543999010.334 * [misc]backup-simplify: Simplify 0 into 0 1543999010.335 * [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)))) 1543999010.335 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1543999010.335 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1543999010.335 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 1543999010.335 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1543999010.335 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1543999010.335 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999010.335 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1543999010.335 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1543999010.335 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1543999010.335 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1543999010.335 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999010.335 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1543999010.336 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1543999010.336 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1543999010.336 * [misc]backup-simplify: Simplify 0 into 0 1543999010.337 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1543999010.337 * [misc]backup-simplify: Simplify 0 into 0 1543999010.337 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1543999010.338 * [misc]backup-simplify: Simplify 0 into 0 1543999010.338 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1543999010.339 * [misc]backup-simplify: Simplify 0 into 0 1543999010.339 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1543999010.339 * [misc]backup-simplify: Simplify 0 into 0 1543999010.340 * [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 1543999010.340 * [misc]backup-simplify: Simplify 0 into 0 1543999010.340 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1543999010.341 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1543999010.341 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 1543999010.341 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1543999010.341 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1543999010.341 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1543999010.341 * [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)))) 1543999010.341 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1543999010.341 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1543999010.342 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1543999010.342 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1543999010.342 * [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)))) 1543999010.342 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1543999010.343 * [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)))) 1543999010.343 * [misc]backup-simplify: Simplify 0 into 0 1543999010.344 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1543999010.344 * [misc]backup-simplify: Simplify 0 into 0 1543999010.344 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1543999010.344 * [misc]backup-simplify: Simplify 0 into 0 1543999010.345 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1543999010.345 * [misc]backup-simplify: Simplify 0 into 0 1543999010.346 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1543999010.346 * [misc]backup-simplify: Simplify 0 into 0 1543999010.347 * [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 1543999010.347 * [misc]backup-simplify: Simplify 0 into 0 1543999010.348 * [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)))) 1543999010.348 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1543999010.348 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 1543999010.348 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1543999010.348 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1543999010.348 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1543999010.348 * [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)))) 1543999010.349 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1543999010.349 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1543999010.349 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1543999010.349 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1543999010.349 * [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)))) 1543999010.349 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1543999010.350 * [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)))) 1543999010.350 * [misc]backup-simplify: Simplify 0 into 0 1543999010.351 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1543999010.351 * [misc]backup-simplify: Simplify 0 into 0 1543999010.352 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1543999010.352 * [misc]backup-simplify: Simplify 0 into 0 1543999010.353 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1543999010.353 * [misc]backup-simplify: Simplify 0 into 0 1543999010.353 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1543999010.353 * [misc]backup-simplify: Simplify 0 into 0 1543999010.354 * [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 1543999010.354 * [misc]backup-simplify: Simplify 0 into 0 1543999010.355 * [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)))) 1543999010.355 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1543999010.355 * [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))) 1543999010.355 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1543999010.355 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1543999010.355 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999010.355 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1543999010.356 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999010.356 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999010.356 * [misc]backup-simplify: Simplify 0 into 0 1543999010.356 * [misc]backup-simplify: Simplify 0 into 0 1543999010.356 * [misc]backup-simplify: Simplify 0 into 0 1543999010.356 * [misc]backup-simplify: Simplify 0 into 0 1543999010.356 * [misc]backup-simplify: Simplify 0 into 0 1543999010.356 * [misc]backup-simplify: Simplify 0 into 0 1543999010.356 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999010.357 * [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))) 1543999010.357 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1543999010.357 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1543999010.357 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1543999010.357 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1543999010.357 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1543999010.357 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1543999010.357 * [misc]backup-simplify: Simplify 0 into 0 1543999010.357 * [misc]backup-simplify: Simplify 0 into 0 1543999010.358 * [misc]backup-simplify: Simplify 0 into 0 1543999010.358 * [misc]backup-simplify: Simplify 0 into 0 1543999010.358 * [misc]backup-simplify: Simplify 0 into 0 1543999010.358 * [misc]backup-simplify: Simplify 0 into 0 1543999010.358 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999010.358 * [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))) 1543999010.358 * [misc]approximate: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1543999010.358 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1543999010.359 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1543999010.359 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1543999010.359 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1543999010.359 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1543999010.359 * [misc]backup-simplify: Simplify 0 into 0 1543999010.359 * [misc]backup-simplify: Simplify 0 into 0 1543999010.359 * [misc]backup-simplify: Simplify 0 into 0 1543999010.359 * [misc]backup-simplify: Simplify 0 into 0 1543999010.359 * [misc]backup-simplify: Simplify 0 into 0 1543999010.360 * [misc]backup-simplify: Simplify 0 into 0 1543999010.360 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999010.360 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) 1543999010.360 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999010.360 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1543999010.360 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1543999010.360 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999010.360 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1543999010.360 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999010.361 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999010.361 * [misc]backup-simplify: Simplify 0 into 0 1543999010.361 * [misc]backup-simplify: Simplify 0 into 0 1543999010.361 * [misc]backup-simplify: Simplify 0 into 0 1543999010.361 * [misc]backup-simplify: Simplify 0 into 0 1543999010.361 * [misc]backup-simplify: Simplify 0 into 0 1543999010.361 * [misc]backup-simplify: Simplify 0 into 0 1543999010.361 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999010.361 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1543999010.361 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1543999010.361 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1543999010.362 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1543999010.362 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1543999010.362 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1543999010.362 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1543999010.362 * [misc]backup-simplify: Simplify 0 into 0 1543999010.362 * [misc]backup-simplify: Simplify 0 into 0 1543999010.362 * [misc]backup-simplify: Simplify 0 into 0 1543999010.362 * [misc]backup-simplify: Simplify 0 into 0 1543999010.362 * [misc]backup-simplify: Simplify 0 into 0 1543999010.362 * [misc]backup-simplify: Simplify 0 into 0 1543999010.363 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999010.363 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1543999010.363 * [misc]approximate: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1543999010.363 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1543999010.363 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1543999010.363 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1543999010.363 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1543999010.364 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1543999010.364 * [misc]backup-simplify: Simplify 0 into 0 1543999010.364 * [misc]backup-simplify: Simplify 0 into 0 1543999010.364 * [misc]backup-simplify: Simplify 0 into 0 1543999010.364 * [misc]backup-simplify: Simplify 0 into 0 1543999010.364 * [misc]backup-simplify: Simplify 0 into 0 1543999010.364 * [misc]backup-simplify: Simplify 0 into 0 1543999010.364 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1543999010.364 * * * [misc]progress: simplifying candidates 1543999010.364 * * * * [misc]progress: [ 1 / 73 ] simplifiying candidate # 1543999010.364 * * * * [misc]progress: [ 2 / 73 ] simplifiying candidate # 1543999010.364 * * * * [misc]progress: [ 3 / 73 ] simplifiying candidate # 1543999010.364 * * * * [misc]progress: [ 4 / 73 ] simplifiying candidate # 1543999010.364 * * * * [misc]progress: [ 5 / 73 ] simplifiying candidate # 1543999010.365 * * * * [misc]progress: [ 6 / 73 ] simplifiying candidate # 1543999010.365 * * * * [misc]progress: [ 7 / 73 ] simplifiying candidate # 1543999010.365 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1543999010.365 * * [misc]simplify: iters left: 6 (9 enodes) 1543999010.368 * * [misc]simplify: iters left: 5 (15 enodes) 1543999010.372 * * [misc]simplify: iters left: 4 (22 enodes) 1543999010.379 * * [misc]simplify: iters left: 3 (32 enodes) 1543999010.386 * * [misc]simplify: iters left: 2 (48 enodes) 1543999010.396 * * [misc]simplify: iters left: 1 (49 enodes) 1543999010.400 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1543999010.400 * [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)))))))) 1543999010.400 * * * * [misc]progress: [ 8 / 73 ] simplifiying candidate # 1543999010.400 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1543999010.400 * * [misc]simplify: iters left: 6 (8 enodes) 1543999010.401 * * [misc]simplify: iters left: 5 (13 enodes) 1543999010.403 * * [misc]simplify: iters left: 4 (20 enodes) 1543999010.406 * * [misc]simplify: iters left: 3 (30 enodes) 1543999010.409 * * [misc]simplify: iters left: 2 (45 enodes) 1543999010.419 * * [misc]simplify: iters left: 1 (46 enodes) 1543999010.423 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1543999010.423 * [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)))))))) 1543999010.423 * * * * [misc]progress: [ 9 / 73 ] simplifiying candidate # 1543999010.423 * [enter]simplify: Simplifying (sqrt 1) 1543999010.423 * * [misc]simplify: iters left: 1 (2 enodes) 1543999010.424 * [exit]simplify: Simplified to 1 1543999010.424 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1543999010.424 * * * * [misc]progress: [ 10 / 73 ] simplifiying candidate # 1543999010.424 * * * * [misc]progress: [ 11 / 73 ] simplifiying candidate # 1543999010.424 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1543999010.425 * * [misc]simplify: iters left: 6 (7 enodes) 1543999010.426 * * [misc]simplify: iters left: 5 (12 enodes) 1543999010.427 * * [misc]simplify: iters left: 4 (19 enodes) 1543999010.430 * * [misc]simplify: iters left: 3 (29 enodes) 1543999010.434 * * [misc]simplify: iters left: 2 (45 enodes) 1543999010.441 * * [misc]simplify: iters left: 1 (46 enodes) 1543999010.444 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1543999010.444 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (fabs (sqrt (atan2 1 (+ (+ N 1) (* N N))))))) 1543999010.444 * * * * [misc]progress: [ 12 / 73 ] simplifiying candidate # 1543999010.444 * * * * [misc]progress: [ 13 / 73 ] simplifiying candidate # 1543999010.444 * * * * [misc]progress: [ 14 / 73 ] simplifiying candidate # 1543999010.444 * * * * [misc]progress: [ 15 / 73 ] simplifiying candidate # 1543999010.445 * * * * [misc]progress: [ 16 / 73 ] simplifiying candidate # 1543999010.445 * * * * [misc]progress: [ 17 / 73 ] simplifiying candidate # 1543999010.445 * * * * [misc]progress: [ 18 / 73 ] simplifiying candidate # 1543999010.445 * * * * [misc]progress: [ 19 / 73 ] simplifiying candidate # 1543999010.445 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1543999010.445 * * [misc]simplify: iters left: 6 (9 enodes) 1543999010.446 * * [misc]simplify: iters left: 5 (15 enodes) 1543999010.448 * * [misc]simplify: iters left: 4 (22 enodes) 1543999010.452 * * [misc]simplify: iters left: 3 (32 enodes) 1543999010.455 * * [misc]simplify: iters left: 2 (48 enodes) 1543999010.465 * * [misc]simplify: iters left: 1 (49 enodes) 1543999010.468 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1543999010.468 * [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)))))) 1543999010.468 * * * * [misc]progress: [ 20 / 73 ] simplifiying candidate # 1543999010.468 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1543999010.468 * * [misc]simplify: iters left: 6 (8 enodes) 1543999010.470 * * [misc]simplify: iters left: 5 (13 enodes) 1543999010.471 * * [misc]simplify: iters left: 4 (20 enodes) 1543999010.474 * * [misc]simplify: iters left: 3 (30 enodes) 1543999010.480 * * [misc]simplify: iters left: 2 (45 enodes) 1543999010.487 * * [misc]simplify: iters left: 1 (46 enodes) 1543999010.490 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1543999010.490 * [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)))))) 1543999010.491 * * * * [misc]progress: [ 21 / 73 ] simplifiying candidate # 1543999010.491 * [enter]simplify: Simplifying (sqrt 1) 1543999010.491 * * [misc]simplify: iters left: 1 (2 enodes) 1543999010.492 * [exit]simplify: Simplified to 1 1543999010.492 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1543999010.492 * * * * [misc]progress: [ 22 / 73 ] simplifiying candidate # 1543999010.492 * * * * [misc]progress: [ 23 / 73 ] simplifiying candidate # 1543999010.492 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1543999010.492 * * [misc]simplify: iters left: 6 (7 enodes) 1543999010.493 * * [misc]simplify: iters left: 5 (12 enodes) 1543999010.494 * * [misc]simplify: iters left: 4 (19 enodes) 1543999010.497 * * [misc]simplify: iters left: 3 (29 enodes) 1543999010.501 * * [misc]simplify: iters left: 2 (45 enodes) 1543999010.510 * * [misc]simplify: iters left: 1 (46 enodes) 1543999010.516 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1543999010.516 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (fabs (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1543999010.516 * * * * [misc]progress: [ 24 / 73 ] simplifiying candidate # 1543999010.516 * * * * [misc]progress: [ 25 / 73 ] simplifiying candidate # 1543999010.516 * [enter]simplify: Simplifying (atan2 1 (+ 1 (* (+ N 1) N))) 1543999010.516 * * [misc]simplify: iters left: 6 (6 enodes) 1543999010.518 * * [misc]simplify: iters left: 5 (11 enodes) 1543999010.521 * * [misc]simplify: iters left: 4 (18 enodes) 1543999010.527 * * [misc]simplify: iters left: 3 (28 enodes) 1543999010.533 * * [misc]simplify: iters left: 2 (44 enodes) 1543999010.549 * * [misc]simplify: iters left: 1 (45 enodes) 1543999010.554 * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (* N N))) 1543999010.554 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N 1) (* N N))) (+ 1/2 1/2))) 1543999010.555 * [enter]simplify: Simplifying (+ 1/2 1/2) 1543999010.555 * * [misc]simplify: iters left: 2 (2 enodes) 1543999010.556 * * [misc]simplify: iters left: 1 (3 enodes) 1543999010.557 * [exit]simplify: Simplified to 1 1543999010.557 * [misc]simplify: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1)) 1543999010.557 * * * * [misc]progress: [ 26 / 73 ] simplifiying candidate # 1543999010.557 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1543999010.557 * * [misc]simplify: iters left: 6 (7 enodes) 1543999010.559 * * [misc]simplify: iters left: 5 (12 enodes) 1543999010.563 * * [misc]simplify: iters left: 4 (19 enodes) 1543999010.569 * * [misc]simplify: iters left: 3 (29 enodes) 1543999010.576 * * [misc]simplify: iters left: 2 (45 enodes) 1543999010.591 * * [misc]simplify: iters left: 1 (46 enodes) 1543999010.597 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1543999010.597 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (+ 1 1))) 1543999010.598 * [enter]simplify: Simplifying (+ 1 1) 1543999010.598 * * [misc]simplify: iters left: 2 (2 enodes) 1543999010.599 * * [misc]simplify: iters left: 1 (5 enodes) 1543999010.600 * [exit]simplify: Simplified to 2 1543999010.600 * [misc]simplify: Simplified (2 2) to (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 2)) 1543999010.600 * * * * [misc]progress: [ 27 / 73 ] simplifiying candidate # 1543999010.600 * [enter]simplify: Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) 1543999010.600 * * [misc]simplify: iters left: 6 (7 enodes) 1543999010.601 * * [misc]simplify: iters left: 5 (12 enodes) 1543999010.602 * * [misc]simplify: iters left: 4 (19 enodes) 1543999010.605 * * [misc]simplify: iters left: 3 (29 enodes) 1543999010.609 * * [misc]simplify: iters left: 2 (45 enodes) 1543999010.617 * * [misc]simplify: iters left: 1 (46 enodes) 1543999010.620 * [exit]simplify: Simplified to (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N)))) 1543999010.620 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N)))) 1/2)) 1543999010.620 * * * * [misc]progress: [ 28 / 73 ] simplifiying candidate # 1543999010.620 * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1543999010.620 * * [misc]simplify: iters left: 6 (8 enodes) 1543999010.621 * * [misc]simplify: iters left: 5 (13 enodes) 1543999010.623 * * [misc]simplify: iters left: 4 (21 enodes) 1543999010.626 * * [misc]simplify: iters left: 3 (31 enodes) 1543999010.629 * * [misc]simplify: iters left: 2 (46 enodes) 1543999010.643 * * [misc]simplify: iters left: 1 (48 enodes) 1543999010.650 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1543999010.650 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (* N N) (+ N 1))) 1)) 1543999010.650 * * * * [misc]progress: [ 29 / 73 ] simplifiying candidate # 1543999010.650 * * * * [misc]progress: [ 30 / 73 ] simplifiying candidate # 1543999010.650 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1543999010.650 * * [misc]simplify: iters left: 6 (7 enodes) 1543999010.652 * * [misc]simplify: iters left: 5 (12 enodes) 1543999010.655 * * [misc]simplify: iters left: 4 (19 enodes) 1543999010.661 * * [misc]simplify: iters left: 3 (29 enodes) 1543999010.669 * * [misc]simplify: iters left: 2 (45 enodes) 1543999010.685 * * [misc]simplify: iters left: 1 (46 enodes) 1543999010.689 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1543999010.689 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (+ 1 1))) 1543999010.689 * * * * [misc]progress: [ 31 / 73 ] simplifiying candidate # 1543999010.689 * * * * [misc]progress: [ 32 / 73 ] simplifiying candidate # 1543999010.689 * [enter]simplify: Simplifying (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1543999010.689 * * [misc]simplify: iters left: 6 (9 enodes) 1543999010.691 * * [misc]simplify: iters left: 5 (14 enodes) 1543999010.692 * * [misc]simplify: iters left: 4 (21 enodes) 1543999010.696 * * [misc]simplify: iters left: 3 (31 enodes) 1543999010.699 * * [misc]simplify: iters left: 2 (46 enodes) 1543999010.707 * * [misc]simplify: iters left: 1 (48 enodes) 1543999010.711 * [exit]simplify: Simplified to (+ (log (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1543999010.711 * [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)))))))) 1543999010.711 * * * * [misc]progress: [ 33 / 73 ] simplifiying candidate # 1543999010.711 * * * * [misc]progress: [ 34 / 73 ] simplifiying candidate # 1543999010.711 * * * * [misc]progress: [ 35 / 73 ] simplifiying candidate # 1543999010.711 * [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)))))) 1543999010.711 * * [misc]simplify: iters left: 6 (10 enodes) 1543999010.713 * * [misc]simplify: iters left: 5 (20 enodes) 1543999010.716 * * [misc]simplify: iters left: 4 (36 enodes) 1543999010.723 * * [misc]simplify: iters left: 3 (51 enodes) 1543999010.733 * * [misc]simplify: iters left: 2 (70 enodes) 1543999010.744 * * [misc]simplify: iters left: 1 (74 enodes) 1543999010.750 * [exit]simplify: Simplified to (pow (atan2 1 (+ (+ N 1) (* N N))) 3) 1543999010.750 * [misc]simplify: Simplified (2 1) to (λ (N) (cbrt (pow (atan2 1 (+ (+ N 1) (* N N))) 3))) 1543999010.750 * * * * [misc]progress: [ 36 / 73 ] simplifiying candidate # 1543999010.750 * * * * [misc]progress: [ 37 / 73 ] simplifiying candidate # 1543999010.750 * * * * [misc]progress: [ 38 / 73 ] simplifiying candidate # 1543999010.750 * [enter]simplify: Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) 1543999010.750 * * [misc]simplify: iters left: 6 (7 enodes) 1543999010.751 * * [misc]simplify: iters left: 5 (12 enodes) 1543999010.753 * * [misc]simplify: iters left: 4 (19 enodes) 1543999010.757 * * [misc]simplify: iters left: 3 (29 enodes) 1543999010.760 * * [misc]simplify: iters left: 2 (45 enodes) 1543999010.773 * * [misc]simplify: iters left: 1 (46 enodes) 1543999010.779 * [exit]simplify: Simplified to (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N)))) 1543999010.779 * [misc]simplify: Simplified (2 1) to (λ (N) (sqrt (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N)))))) 1543999010.779 * * * * [misc]progress: [ 39 / 73 ] simplifiying candidate # 1543999010.779 * * * * [misc]progress: [ 40 / 73 ] simplifiying candidate # 1543999010.779 * [enter]simplify: Simplifying (+ 1 (* (+ N 1) N)) 1543999010.779 * * [misc]simplify: iters left: 6 (5 enodes) 1543999010.781 * * [misc]simplify: iters left: 5 (10 enodes) 1543999010.784 * * [misc]simplify: iters left: 4 (17 enodes) 1543999010.789 * * [misc]simplify: iters left: 3 (27 enodes) 1543999010.793 * * [misc]simplify: iters left: 2 (42 enodes) 1543999010.800 * * [misc]simplify: iters left: 1 (43 enodes) 1543999010.803 * [exit]simplify: Simplified to (+ (+ N 1) (* N N)) 1543999010.803 * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ N 1) (* N N)))) 1543999010.803 * * * * [misc]progress: [ 41 / 73 ] simplifiying candidate # 1543999010.803 * * * * [misc]progress: [ 42 / 73 ] simplifiying candidate # 1543999010.803 * [enter]simplify: Simplifying (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1543999010.803 * * [misc]simplify: iters left: 6 (8 enodes) 1543999010.805 * * [misc]simplify: iters left: 5 (13 enodes) 1543999010.806 * * [misc]simplify: iters left: 4 (20 enodes) 1543999010.809 * * [misc]simplify: iters left: 3 (30 enodes) 1543999010.813 * * [misc]simplify: iters left: 2 (45 enodes) 1543999010.821 * * [misc]simplify: iters left: 1 (46 enodes) 1543999010.828 * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1543999010.828 * [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))))))) 1543999010.828 * * * * [misc]progress: [ 43 / 73 ] simplifiying candidate # 1543999010.828 * [enter]simplify: Simplifying (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1543999010.828 * * [misc]simplify: iters left: 6 (8 enodes) 1543999010.831 * * [misc]simplify: iters left: 5 (13 enodes) 1543999010.834 * * [misc]simplify: iters left: 4 (20 enodes) 1543999010.840 * * [misc]simplify: iters left: 3 (30 enodes) 1543999010.847 * * [misc]simplify: iters left: 2 (45 enodes) 1543999010.856 * * [misc]simplify: iters left: 1 (46 enodes) 1543999010.859 * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1543999010.859 * [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))))))) 1543999010.859 * * * * [misc]progress: [ 44 / 73 ] simplifiying candidate # 1543999010.859 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1543999010.859 * * [misc]simplify: iters left: 6 (8 enodes) 1543999010.860 * * [misc]simplify: iters left: 5 (13 enodes) 1543999010.862 * * [misc]simplify: iters left: 4 (20 enodes) 1543999010.865 * * [misc]simplify: iters left: 3 (30 enodes) 1543999010.869 * * [misc]simplify: iters left: 2 (45 enodes) 1543999010.877 * * [misc]simplify: iters left: 1 (46 enodes) 1543999010.881 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1543999010.881 * [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))))))) 1543999010.882 * * * * [misc]progress: [ 45 / 73 ] simplifiying candidate # 1543999010.882 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1543999010.882 * * [misc]simplify: iters left: 6 (7 enodes) 1543999010.883 * * [misc]simplify: iters left: 5 (12 enodes) 1543999010.884 * * [misc]simplify: iters left: 4 (19 enodes) 1543999010.887 * * [misc]simplify: iters left: 3 (29 enodes) 1543999010.891 * * [misc]simplify: iters left: 2 (45 enodes) 1543999010.898 * * [misc]simplify: iters left: 1 (46 enodes) 1543999010.901 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1543999010.901 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt 1)) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1543999010.901 * * * * [misc]progress: [ 46 / 73 ] simplifiying candidate # 1543999010.901 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1543999010.901 * * [misc]simplify: iters left: 6 (8 enodes) 1543999010.903 * * [misc]simplify: iters left: 5 (13 enodes) 1543999010.904 * * [misc]simplify: iters left: 4 (20 enodes) 1543999010.907 * * [misc]simplify: iters left: 3 (30 enodes) 1543999010.914 * * [misc]simplify: iters left: 2 (45 enodes) 1543999010.930 * * [misc]simplify: iters left: 1 (46 enodes) 1543999010.937 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1543999010.937 * [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))))))) 1543999010.937 * * * * [misc]progress: [ 47 / 73 ] simplifiying candidate # 1543999010.938 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1543999010.938 * * [misc]simplify: iters left: 6 (7 enodes) 1543999010.940 * * [misc]simplify: iters left: 5 (12 enodes) 1543999010.943 * * [misc]simplify: iters left: 4 (19 enodes) 1543999010.946 * * [misc]simplify: iters left: 3 (29 enodes) 1543999010.949 * * [misc]simplify: iters left: 2 (45 enodes) 1543999010.957 * * [misc]simplify: iters left: 1 (46 enodes) 1543999010.960 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1543999010.960 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1543999010.960 * * * * [misc]progress: [ 48 / 73 ] simplifiying candidate # 1543999010.960 * [enter]simplify: Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1543999010.960 * * [misc]simplify: iters left: 6 (9 enodes) 1543999010.961 * * [misc]simplify: iters left: 5 (14 enodes) 1543999010.963 * * [misc]simplify: iters left: 4 (21 enodes) 1543999010.966 * * [misc]simplify: iters left: 3 (31 enodes) 1543999010.970 * * [misc]simplify: iters left: 2 (46 enodes) 1543999010.980 * * [misc]simplify: iters left: 1 (48 enodes) 1543999010.988 * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1543999010.988 * [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))))))) 1543999010.988 * * * * [misc]progress: [ 49 / 73 ] simplifiying candidate # 1543999010.988 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1543999010.988 * * [misc]simplify: iters left: 6 (9 enodes) 1543999010.991 * * [misc]simplify: iters left: 5 (15 enodes) 1543999010.995 * * [misc]simplify: iters left: 4 (22 enodes) 1543999011.002 * * [misc]simplify: iters left: 3 (32 enodes) 1543999011.009 * * [misc]simplify: iters left: 2 (48 enodes) 1543999011.026 * * [misc]simplify: iters left: 1 (49 enodes) 1543999011.032 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1543999011.032 * [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))))))) 1543999011.032 * * * * [misc]progress: [ 50 / 73 ] simplifiying candidate # 1543999011.033 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1543999011.033 * * [misc]simplify: iters left: 6 (8 enodes) 1543999011.035 * * [misc]simplify: iters left: 5 (13 enodes) 1543999011.038 * * [misc]simplify: iters left: 4 (20 enodes) 1543999011.045 * * [misc]simplify: iters left: 3 (30 enodes) 1543999011.053 * * [misc]simplify: iters left: 2 (45 enodes) 1543999011.069 * * [misc]simplify: iters left: 1 (46 enodes) 1543999011.075 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1543999011.075 * [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 (atan2 1 (+ 1 (* (+ N 1) N))))))) 1543999011.075 * * * * [misc]progress: [ 51 / 73 ] simplifiying candidate # 1543999011.075 * [enter]simplify: Simplifying (sqrt 1) 1543999011.075 * * [misc]simplify: iters left: 1 (2 enodes) 1543999011.077 * [exit]simplify: Simplified to 1 1543999011.077 * [misc]simplify: Simplified (2 1) to (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1543999011.077 * * * * [misc]progress: [ 52 / 73 ] simplifiying candidate # 1543999011.077 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1543999011.077 * * [misc]simplify: iters left: 6 (8 enodes) 1543999011.080 * * [misc]simplify: iters left: 5 (13 enodes) 1543999011.083 * * [misc]simplify: iters left: 4 (20 enodes) 1543999011.090 * * [misc]simplify: iters left: 3 (30 enodes) 1543999011.097 * * [misc]simplify: iters left: 2 (45 enodes) 1543999011.113 * * [misc]simplify: iters left: 1 (46 enodes) 1543999011.119 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1543999011.119 * [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))))))) 1543999011.119 * * * * [misc]progress: [ 53 / 73 ] simplifiying candidate # 1543999011.119 * * * * [misc]progress: [ 54 / 73 ] simplifiying candidate # 1543999011.119 * * * * [misc]progress: [ 55 / 73 ] simplifiying candidate # 1543999011.119 * * * * [misc]progress: [ 56 / 73 ] simplifiying candidate # 1543999011.120 * * * * [misc]progress: [ 57 / 73 ] simplifiying candidate # 1543999011.120 * * * * [misc]progress: [ 58 / 73 ] simplifiying candidate # 1543999011.120 * * * * [misc]progress: [ 59 / 73 ] simplifiying candidate # 1543999011.120 * * * * [misc]progress: [ 60 / 73 ] simplifiying candidate # 1543999011.120 * * * * [misc]progress: [ 61 / 73 ] simplifiying candidate # 1543999011.120 * * * * [misc]progress: [ 62 / 73 ] simplifiying candidate # 1543999011.120 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1543999011.120 * * [misc]simplify: iters left: 6 (8 enodes) 1543999011.123 * * [misc]simplify: iters left: 5 (15 enodes) 1543999011.126 * * [misc]simplify: iters left: 4 (22 enodes) 1543999011.131 * * [misc]simplify: iters left: 3 (24 enodes) 1543999011.134 * * [misc]simplify: iters left: 2 (30 enodes) 1543999011.138 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1543999011.138 * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1543999011.138 * * * * [misc]progress: [ 63 / 73 ] simplifiying candidate # 1543999011.138 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1543999011.138 * * [misc]simplify: iters left: 6 (8 enodes) 1543999011.139 * * [misc]simplify: iters left: 5 (15 enodes) 1543999011.141 * * [misc]simplify: iters left: 4 (22 enodes) 1543999011.144 * * [misc]simplify: iters left: 3 (24 enodes) 1543999011.147 * * [misc]simplify: iters left: 2 (30 enodes) 1543999011.151 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1543999011.151 * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1543999011.151 * * * * [misc]progress: [ 64 / 73 ] simplifiying candidate # 1543999011.151 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1543999011.151 * * [misc]simplify: iters left: 6 (8 enodes) 1543999011.152 * * [misc]simplify: iters left: 5 (15 enodes) 1543999011.154 * * [misc]simplify: iters left: 4 (22 enodes) 1543999011.158 * * [misc]simplify: iters left: 3 (24 enodes) 1543999011.163 * * [misc]simplify: iters left: 2 (30 enodes) 1543999011.171 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1543999011.171 * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1543999011.171 * * * * [misc]progress: [ 65 / 73 ] simplifiying candidate # 1543999011.171 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1543999011.171 * * [misc]simplify: iters left: 6 (8 enodes) 1543999011.174 * * [misc]simplify: iters left: 5 (15 enodes) 1543999011.178 * * [misc]simplify: iters left: 4 (22 enodes) 1543999011.182 * * [misc]simplify: iters left: 3 (24 enodes) 1543999011.188 * * [misc]simplify: iters left: 2 (30 enodes) 1543999011.195 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1543999011.195 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1543999011.195 * * * * [misc]progress: [ 66 / 73 ] simplifiying candidate # 1543999011.196 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1543999011.196 * * [misc]simplify: iters left: 6 (8 enodes) 1543999011.197 * * [misc]simplify: iters left: 5 (15 enodes) 1543999011.199 * * [misc]simplify: iters left: 4 (22 enodes) 1543999011.202 * * [misc]simplify: iters left: 3 (24 enodes) 1543999011.204 * * [misc]simplify: iters left: 2 (30 enodes) 1543999011.209 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1543999011.209 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1543999011.209 * * * * [misc]progress: [ 67 / 73 ] simplifiying candidate # 1543999011.209 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1543999011.209 * * [misc]simplify: iters left: 6 (8 enodes) 1543999011.210 * * [misc]simplify: iters left: 5 (15 enodes) 1543999011.212 * * [misc]simplify: iters left: 4 (22 enodes) 1543999011.215 * * [misc]simplify: iters left: 3 (24 enodes) 1543999011.219 * * [misc]simplify: iters left: 2 (30 enodes) 1543999011.227 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1543999011.227 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1543999011.227 * * * * [misc]progress: [ 68 / 73 ] simplifiying candidate # 1543999011.227 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1543999011.227 * * [misc]simplify: iters left: 6 (7 enodes) 1543999011.229 * * [misc]simplify: iters left: 5 (14 enodes) 1543999011.232 * * [misc]simplify: iters left: 4 (21 enodes) 1543999011.237 * * [misc]simplify: iters left: 3 (23 enodes) 1543999011.242 * * [misc]simplify: iters left: 2 (29 enodes) 1543999011.248 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1543999011.248 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1543999011.248 * * * * [misc]progress: [ 69 / 73 ] simplifiying candidate # 1543999011.248 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1543999011.248 * * [misc]simplify: iters left: 6 (7 enodes) 1543999011.249 * * [misc]simplify: iters left: 5 (14 enodes) 1543999011.251 * * [misc]simplify: iters left: 4 (21 enodes) 1543999011.254 * * [misc]simplify: iters left: 3 (23 enodes) 1543999011.256 * * [misc]simplify: iters left: 2 (29 enodes) 1543999011.260 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1543999011.260 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1543999011.260 * * * * [misc]progress: [ 70 / 73 ] simplifiying candidate # 1543999011.260 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1543999011.260 * * [misc]simplify: iters left: 6 (7 enodes) 1543999011.262 * * [misc]simplify: iters left: 5 (14 enodes) 1543999011.263 * * [misc]simplify: iters left: 4 (21 enodes) 1543999011.266 * * [misc]simplify: iters left: 3 (23 enodes) 1543999011.268 * * [misc]simplify: iters left: 2 (29 enodes) 1543999011.272 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1543999011.272 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1543999011.272 * * * * [misc]progress: [ 71 / 73 ] simplifiying candidate # 1543999011.273 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1543999011.273 * * [misc]simplify: iters left: 6 (7 enodes) 1543999011.274 * * [misc]simplify: iters left: 5 (14 enodes) 1543999011.275 * * [misc]simplify: iters left: 4 (21 enodes) 1543999011.278 * * [misc]simplify: iters left: 3 (23 enodes) 1543999011.281 * * [misc]simplify: iters left: 2 (29 enodes) 1543999011.289 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1543999011.289 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1543999011.289 * * * * [misc]progress: [ 72 / 73 ] simplifiying candidate # 1543999011.289 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1543999011.289 * * [misc]simplify: iters left: 6 (7 enodes) 1543999011.291 * * [misc]simplify: iters left: 5 (14 enodes) 1543999011.294 * * [misc]simplify: iters left: 4 (21 enodes) 1543999011.299 * * [misc]simplify: iters left: 3 (23 enodes) 1543999011.304 * * [misc]simplify: iters left: 2 (29 enodes) 1543999011.311 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1543999011.311 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1543999011.311 * * * * [misc]progress: [ 73 / 73 ] simplifiying candidate # 1543999011.312 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1543999011.312 * * [misc]simplify: iters left: 6 (7 enodes) 1543999011.314 * * [misc]simplify: iters left: 5 (14 enodes) 1543999011.317 * * [misc]simplify: iters left: 4 (21 enodes) 1543999011.321 * * [misc]simplify: iters left: 3 (23 enodes) 1543999011.327 * * [misc]simplify: iters left: 2 (29 enodes) 1543999011.334 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1543999011.334 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1543999011.334 * * * [misc]progress: adding candidates to table 1543999011.911 * [misc]progress: [Phase 3 of 3] Extracting. 1543999011.911 * * [misc]regime: Finding splitpoints for: (# # # # # # #) 1543999011.912 * * * [misc]regime-changes: Trying 1 branch expressions: (N) 1543999011.912 * * * * [misc]regimes: Trying to branch on N from (# # # # # # #) 1543999011.950 * * * [misc]regime: Found split indices: #