* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ 1 N)) * [misc]taylor: Taking taylor expansion of (atan N) in N * [misc]backup-simplify: Simplify (atan N) into (atan N) * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ 1 N)) * [misc]taylor: Taking taylor expansion of (atan N) in N * [misc]backup-simplify: Simplify (atan N) into (atan N) * [misc]backup-simplify: Simplify (- (atan N)) into (- (atan N)) * [misc]backup-simplify: Simplify (+ (atan (+ 1 N)) (- (atan N))) into (- (atan (+ 1 N)) (atan N)) * [misc]backup-simplify: Simplify (- (atan (+ 1 N)) (atan N)) into (- (atan (+ 1 N)) (atan N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (atan (+ 1 N)) (atan N)) into (- (atan (+ 1 N)) (atan N)) * [misc]approximate: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) * [misc]backup-simplify: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) * [misc]backup-simplify: Simplify (+ (atan (+ 1 (/ 1 N))) (- (atan (/ 1 N)))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * [misc]backup-simplify: Simplify (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * [misc]approximate: Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- N))) in N * [misc]backup-simplify: Simplify (atan (/ 1 (- N))) into (atan (/ -1 N)) * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- N))) in N * [misc]backup-simplify: Simplify (atan (/ 1 (- N))) into (atan (/ -1 N)) * [misc]backup-simplify: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) * [misc]backup-simplify: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ 1 N)) * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ 1 N)) * [misc]backup-simplify: Simplify (atan (+ 1 N)) into (atan (+ 1 N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (+ 1 N)) into (atan (+ 1 N)) * [misc]approximate: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N))) * [misc]backup-simplify: Simplify (atan (+ 1 (/ 1 N))) into (atan (+ 1 (/ 1 N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (+ 1 (/ 1 N))) into (atan (+ 1 (/ 1 N))) * [misc]approximate: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (atan N) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan N) in N * [misc]backup-simplify: Simplify (atan N) into (atan N) * [misc]taylor: Taking taylor expansion of (atan N) in N * [misc]backup-simplify: Simplify (atan N) into (atan N) * [misc]backup-simplify: Simplify (atan N) into (atan N) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan N) into (atan N) * [misc]approximate: Taking taylor expansion of (atan (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) * [misc]approximate: Taking taylor expansion of (atan (/ 1 (- N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- N))) in N * [misc]backup-simplify: Simplify (atan (/ 1 (- N))) into (atan (/ -1 N)) * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- N))) in N * [misc]backup-simplify: Simplify (atan (/ 1 (- N))) into (atan (/ -1 N)) * [misc]backup-simplify: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ 1 N)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * * * * [misc]progress: [ 2 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * * * * [misc]progress: [ 3 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * * * * [misc]progress: [ 4 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ 1 N)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * * * * [misc]progress: [ 5 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ 1 (/ 1 N))) (atan N)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 (/ 1 N))) (atan N)) * * * * [misc]progress: [ 6 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (- 1 (/ 1 N))) (atan N)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (- (atan (- 1 (/ 1 N))) (atan N)) * * * * [misc]progress: [ 7 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * * [misc]progress: [ 8 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan (/ 1 N))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan (/ 1 N))) * * * * [misc]progress: [ 9 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan (/ -1 N))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan (/ -1 N))) * * * * [misc]progress: [ 10 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (expm1 (- (atan (+ N 1)) (atan N))) * [exit]simplify: Simplified to (expm1 (- (atan (+ N 1)) (atan N))) * * * * [misc]progress: [ 11 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log1p (- (atan (+ N 1)) (atan N))) * [exit]simplify: Simplified to (log1p (- (atan (+ N 1)) (atan N))) * * * * [misc]progress: [ 12 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ N 1) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- 1 0) * [exit]simplify: Simplified to (- 1 0) * [enter]simplify: Simplifying (+ 1 (* (+ N 1) N)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (fma N (+ 1 N) 1) * [exit]simplify: Simplified to (fma N (+ 1 N) 1) * * * * [misc]progress: [ 13 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (atan (+ N 1))) (exp (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (exp (- (atan (+ N 1)) (atan N))) * [exit]simplify: Simplified to (exp (- (atan (+ N 1)) (atan N))) * * * * [misc]progress: [ 14 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (- (atan (+ N 1)) (atan N))) * [exit]simplify: Simplified to (log (- (atan (+ N 1)) (atan N))) * * * * [misc]progress: [ 16 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (exp (- (atan (+ N 1)) (atan N))) * [exit]simplify: Simplified to (exp (- (atan (+ N 1)) (atan N))) * * * * [misc]progress: [ 17 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (- (atan (+ N 1)) (atan N))) * [exit]simplify: Simplified to (cbrt (- (atan (+ N 1)) (atan N))) * * * * [misc]progress: [ 18 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cube (- (atan (+ N 1)) (atan N))) * [exit]simplify: Simplified to (cube (- (atan (+ N 1)) (atan N))) * * * * [misc]progress: [ 19 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (- (atan (+ N 1)) (atan N))) * [exit]simplify: Simplified to (sqrt (- (atan (+ N 1)) (atan N))) * * * * [misc]progress: [ 20 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (atan N)) * [exit]simplify: Simplified to (- (atan N)) * * * * [misc]progress: [ 21 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (atan (+ N 1)) 3) (pow (atan N) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (- (cube (atan (+ N 1))) (cube (atan N))) * [exit]simplify: Simplified to (- (cube (atan (+ N 1))) (cube (atan N))) * [enter]simplify: Simplifying (+ (sqr (atan (+ N 1))) (+ (sqr (atan N)) (* (atan (+ N 1)) (atan N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (fma (+ (atan N) (atan (+ N 1))) (atan N) (* (atan (+ N 1)) (atan (+ N 1)))) * [exit]simplify: Simplified to (fma (+ (atan N) (atan (+ N 1))) (atan N) (* (atan (+ N 1)) (atan (+ N 1)))) * * * * [misc]progress: [ 23 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (atan (+ N 1))) (sqr (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) * [exit]simplify: Simplified to (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) * [enter]simplify: Simplifying (+ (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ (atan N) (atan (+ N 1))) * [exit]simplify: Simplified to (+ (atan N) (atan (+ N 1))) * * * * [misc]progress: [ 24 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) * [exit]simplify: Simplified to (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) * [enter]simplify: Simplifying (- (sqrt (atan (+ N 1))) (sqrt (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (sqrt (atan (+ N 1))) (sqrt (atan N))) * [exit]simplify: Simplified to (- (sqrt (atan (+ N 1))) (sqrt (atan N))) * * * * [misc]progress: [ 25 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * * [misc]progress: [ 26 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (expm1 (atan (+ N 1))) * [exit]simplify: Simplified to (expm1 (atan (+ N 1))) * * * * [misc]progress: [ 27 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log1p (atan (+ N 1))) * [exit]simplify: Simplified to (log1p (atan (+ N 1))) * * * * [misc]progress: [ 28 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (atan (+ N 1))) * [exit]simplify: Simplified to (log (atan (+ N 1))) * * * * [misc]progress: [ 30 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (atan (+ N 1))) * [exit]simplify: Simplified to (exp (atan (+ N 1))) * * * * [misc]progress: [ 31 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (atan (+ N 1))) * [exit]simplify: Simplified to (cbrt (atan (+ N 1))) * * * * [misc]progress: [ 32 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cube (atan (+ N 1))) * [exit]simplify: Simplified to (cube (atan (+ N 1))) * * * * [misc]progress: [ 33 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (atan (+ N 1))) * [exit]simplify: Simplified to (sqrt (atan (+ N 1))) * * * * [misc]progress: [ 34 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (atan N)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (expm1 (atan N)) * [exit]simplify: Simplified to (expm1 (atan N)) * * * * [misc]progress: [ 36 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (atan N)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log1p (atan N)) * [exit]simplify: Simplified to (log1p (atan N)) * * * * [misc]progress: [ 37 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan N)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (atan N)) * [exit]simplify: Simplified to (log (atan N)) * * * * [misc]progress: [ 39 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan N)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (atan N)) * [exit]simplify: Simplified to (exp (atan N)) * * * * [misc]progress: [ 40 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan N)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (atan N)) * [exit]simplify: Simplified to (cbrt (atan N)) * * * * [misc]progress: [ 41 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (atan N)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cube (atan N)) * [exit]simplify: Simplified to (cube (atan N)) * * * * [misc]progress: [ 42 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan N)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (atan N)) * [exit]simplify: Simplified to (sqrt (atan N)) * * * * [misc]progress: [ 43 / 43 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]approximate: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]approximate: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (fma N (+ 1 N) 1) in (N) around 0 * [misc]taylor: Taking taylor expansion of (fma N (+ 1 N) 1) in N * [misc]backup-simplify: Simplify (fma N (+ 1 N) 1) into (fma N (+ 1 N) 1) * [misc]taylor: Taking taylor expansion of (fma N (+ 1 N) 1) in N * [misc]backup-simplify: Simplify (fma N (+ 1 N) 1) into (fma N (+ 1 N) 1) * [misc]backup-simplify: Simplify (fma N (+ 1 N) 1) into (fma N (+ 1 N) 1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fma N (+ 1 N) 1) into (fma N (+ 1 N) 1) * [misc]approximate: Taking taylor expansion of (fma (/ 1 N) (+ 1 (/ 1 N)) 1) in (N) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (+ 1 (/ 1 N)) 1) in N * [misc]backup-simplify: Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ 1 (/ 1 N)) 1) * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (+ 1 (/ 1 N)) 1) in N * [misc]backup-simplify: Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ 1 (/ 1 N)) 1) * [misc]backup-simplify: Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ 1 (/ 1 N)) 1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ 1 (/ 1 N)) 1) * [misc]approximate: Taking taylor expansion of (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) in (N) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) in N * [misc]backup-simplify: Simplify (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1) * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) in N * [misc]backup-simplify: Simplify (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1) * [misc]backup-simplify: Simplify (fma (/ -1 N) (- 1 (/ 1 N)) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fma (/ -1 N) (- 1 (/ 1 N)) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma N (+ 1 N) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (atan2 1 (fma N (+ 1 N) 1)) * * * * [misc]progress: [ 2 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * * * * [misc]progress: [ 3 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * * * * [misc]progress: [ 4 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (- 1 0) (fma N (+ 1 N) 1)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (atan2 (- 1 0) (fma N (+ N 1) 1)) * * * * [misc]progress: [ 5 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (atan2 (- 1 0) (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * * * * [misc]progress: [ 6 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (- 1 0) (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (atan2 (- 1 0) (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * * * * [misc]progress: [ 7 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (atan2 (- 1 0) (fma N (+ 1 N) 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (expm1 (atan2 (- 1 0) (fma N (+ N 1) 1))) * [exit]simplify: Simplified to (expm1 (atan2 (- 1 0) (fma N (+ N 1) 1))) * * * * [misc]progress: [ 8 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (atan2 (- 1 0) (fma N (+ 1 N) 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (log1p (atan2 (- 1 0) (fma N (+ N 1) 1))) * [exit]simplify: Simplified to (log1p (atan2 (- 1 0) (fma N (+ N 1) 1))) * * * * [misc]progress: [ 9 / 25 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 (- 1 0) (fma N (+ 1 N) 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (log (atan2 (- 1 0) (fma N (+ N 1) 1))) * [exit]simplify: Simplified to (log (atan2 (- 1 0) (fma N (+ N 1) 1))) * * * * [misc]progress: [ 11 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 (- 1 0) (fma N (+ 1 N) 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (exp (atan2 (- 1 0) (fma N (+ N 1) 1))) * [exit]simplify: Simplified to (exp (atan2 (- 1 0) (fma N (+ N 1) 1))) * * * * [misc]progress: [ 12 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (cbrt (atan2 (- 1 0) (fma N (+ N 1) 1))) * [exit]simplify: Simplified to (cbrt (atan2 (- 1 0) (fma N (+ N 1) 1))) * * * * [misc]progress: [ 13 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (atan2 (- 1 0) (fma N (+ 1 N) 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cube (atan2 (- 1 0) (fma N (+ N 1) 1))) * [exit]simplify: Simplified to (cube (atan2 (- 1 0) (fma N (+ N 1) 1))) * * * * [misc]progress: [ 14 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1))) * [exit]simplify: Simplified to (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1))) * * * * [misc]progress: [ 15 / 25 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (fma N (+ 1 N) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (expm1 (fma N (+ N 1) 1)) * [exit]simplify: Simplified to (expm1 (fma N (+ N 1) 1)) * * * * [misc]progress: [ 17 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (fma N (+ 1 N) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log1p (fma N (+ N 1) 1)) * [exit]simplify: Simplified to (log1p (fma N (+ N 1) 1)) * * * * [misc]progress: [ 18 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (* N (+ 1 N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (fma N N N) * [exit]simplify: Simplified to (fma N N N) * * * * [misc]progress: [ 19 / 25 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (log (fma N (+ 1 N) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (fma N (+ N 1) 1)) * [exit]simplify: Simplified to (log (fma N (+ N 1) 1)) * * * * [misc]progress: [ 21 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma N (+ 1 N) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (fma N (+ N 1) 1)) * [exit]simplify: Simplified to (exp (fma N (+ N 1) 1)) * * * * [misc]progress: [ 22 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (fma N (+ 1 N) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (fma N (+ N 1) 1)) * [exit]simplify: Simplified to (cbrt (fma N (+ N 1) 1)) * * * * [misc]progress: [ 23 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (fma N (+ 1 N) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cube (fma N (+ N 1) 1)) * [exit]simplify: Simplified to (cube (fma N (+ N 1) 1)) * * * * [misc]progress: [ 24 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma N (+ 1 N) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (fma N (+ N 1) 1)) * [exit]simplify: Simplified to (sqrt (fma N (+ N 1) 1)) * * * * [misc]progress: [ 25 / 25 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]approximate: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]approximate: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) 0) (* 0 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma N (+ 1 N) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma N (+ 1 N) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma N (+ 1 N) 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma N (+ 1 N) 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) 0) (* 0 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 0) (* 0 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (fma N (+ 1 N) 1) in (N) around 0 * [misc]taylor: Taking taylor expansion of (fma N (+ 1 N) 1) in N * [misc]backup-simplify: Simplify (fma N (+ 1 N) 1) into (fma N (+ 1 N) 1) * [misc]taylor: Taking taylor expansion of (fma N (+ 1 N) 1) in N * [misc]backup-simplify: Simplify (fma N (+ 1 N) 1) into (fma N (+ 1 N) 1) * [misc]backup-simplify: Simplify (fma N (+ 1 N) 1) into (fma N (+ 1 N) 1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fma N (+ 1 N) 1) into (fma N (+ 1 N) 1) * [misc]approximate: Taking taylor expansion of (fma (/ 1 N) (+ 1 (/ 1 N)) 1) in (N) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (+ 1 (/ 1 N)) 1) in N * [misc]backup-simplify: Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ 1 (/ 1 N)) 1) * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (+ 1 (/ 1 N)) 1) in N * [misc]backup-simplify: Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ 1 (/ 1 N)) 1) * [misc]backup-simplify: Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ 1 (/ 1 N)) 1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ 1 (/ 1 N)) 1) * [misc]approximate: Taking taylor expansion of (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) in (N) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) in N * [misc]backup-simplify: Simplify (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1) * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) in N * [misc]backup-simplify: Simplify (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1) * [misc]backup-simplify: Simplify (fma (/ -1 N) (- 1 (/ 1 N)) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fma (/ -1 N) (- 1 (/ 1 N)) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (fma N (+ 1 N) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (atan2 1 (fma N (+ 1 N) 1)) * * * * [misc]progress: [ 2 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * * * * [misc]progress: [ 3 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * * * * [misc]progress: [ 4 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (fma N (+ 1 N) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (atan2 1 (fma N (+ 1 N) 1)) * * * * [misc]progress: [ 5 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * * * * [misc]progress: [ 6 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * * * * [misc]progress: [ 7 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma N (+ 1 N) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (atan2 1 (fma N (+ 1 N) 1)) * * * * [misc]progress: [ 8 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * * * * [misc]progress: [ 9 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * * * * [misc]progress: [ 10 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (atan2 (- 1 0) (fma N (+ N 1) 1)) * * * * [misc]progress: [ 11 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (atan2 (- 1 0) (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * * * * [misc]progress: [ 12 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (atan2 (- 1 0) (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (atan2 (- 1 0) (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * * * * [misc]progress: [ 13 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1)))) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1)))) * * * * [misc]progress: [ 14 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log1p (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1)))) * [exit]simplify: Simplified to (log1p (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1)))) * * * * [misc]progress: [ 15 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1)))) * [exit]simplify: Simplified to (log (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1)))) * * * * [misc]progress: [ 18 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1)))) * [exit]simplify: Simplified to (exp (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1)))) * * * * [misc]progress: [ 19 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1)))) * * * * [misc]progress: [ 20 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1))) (atan2 (- 1 0) (fma N (+ N 1) 1))) * [exit]simplify: Simplified to (* (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1))) (atan2 (- 1 0) (fma N (+ N 1) 1))) * * * * [misc]progress: [ 21 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1))) * [exit]simplify: Simplified to (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1))) * * * * [misc]progress: [ 22 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1)))) * * * * [misc]progress: [ 23 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (atan2 (- 1 0) (fma N (+ 1 N) 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (expm1 (atan2 (- 1 0) (fma N (+ N 1) 1))) * [exit]simplify: Simplified to (expm1 (atan2 (- 1 0) (fma N (+ N 1) 1))) * * * * [misc]progress: [ 26 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (atan2 (- 1 0) (fma N (+ 1 N) 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (log1p (atan2 (- 1 0) (fma N (+ N 1) 1))) * [exit]simplify: Simplified to (log1p (atan2 (- 1 0) (fma N (+ N 1) 1))) * * * * [misc]progress: [ 27 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 (- 1 0) (fma N (+ 1 N) 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (log (atan2 (- 1 0) (fma N (+ N 1) 1))) * [exit]simplify: Simplified to (log (atan2 (- 1 0) (fma N (+ N 1) 1))) * * * * [misc]progress: [ 29 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 (- 1 0) (fma N (+ 1 N) 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (exp (atan2 (- 1 0) (fma N (+ N 1) 1))) * [exit]simplify: Simplified to (exp (atan2 (- 1 0) (fma N (+ N 1) 1))) * * * * [misc]progress: [ 30 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (cbrt (atan2 (- 1 0) (fma N (+ N 1) 1))) * [exit]simplify: Simplified to (cbrt (atan2 (- 1 0) (fma N (+ N 1) 1))) * * * * [misc]progress: [ 31 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (atan2 (- 1 0) (fma N (+ 1 N) 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cube (atan2 (- 1 0) (fma N (+ N 1) 1))) * [exit]simplify: Simplified to (cube (atan2 (- 1 0) (fma N (+ N 1) 1))) * * * * [misc]progress: [ 32 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1))) * [exit]simplify: Simplified to (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1))) * * * * [misc]progress: [ 33 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqr (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (expm1 (atan2 (- 1 0) (fma N (+ N 1) 1))) * [exit]simplify: Simplified to (expm1 (atan2 (- 1 0) (fma N (+ N 1) 1))) * * * * [misc]progress: [ 35 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqr (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (log1p (atan2 (- 1 0) (fma N (+ N 1) 1))) * [exit]simplify: Simplified to (log1p (atan2 (- 1 0) (fma N (+ N 1) 1))) * * * * [misc]progress: [ 36 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (log (atan2 (- 1 0) (fma N (+ N 1) 1))) * [exit]simplify: Simplified to (log (atan2 (- 1 0) (fma N (+ N 1) 1))) * * * * [misc]progress: [ 39 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (exp (atan2 (- 1 0) (fma N (+ N 1) 1))) * [exit]simplify: Simplified to (exp (atan2 (- 1 0) (fma N (+ N 1) 1))) * * * * [misc]progress: [ 40 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cbrt (atan2 (- 1 0) (fma N (+ N 1) 1))) * [exit]simplify: Simplified to (cbrt (atan2 (- 1 0) (fma N (+ N 1) 1))) * * * * [misc]progress: [ 41 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (cube (atan2 (- 1 0) (fma N (+ N 1) 1))) * [exit]simplify: Simplified to (cube (atan2 (- 1 0) (fma N (+ N 1) 1))) * * * * [misc]progress: [ 42 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1))) * [exit]simplify: Simplified to (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1))) * * * * [misc]progress: [ 43 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (sqr (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (atan2 (- 1 0) (fma N (+ N 1) 1)) * [exit]simplify: Simplified to (atan2 (- 1 0) (fma N (+ N 1) 1)) * * * * [misc]progress: [ 44 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqr 1) * [exit]simplify: Simplified to (sqr 1) * [enter]simplify: Simplifying (sqr (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (atan2 (- 1 0) (fma N (+ N 1) 1)) * [exit]simplify: Simplified to (atan2 (- 1 0) (fma N (+ N 1) 1)) * * * * [misc]progress: [ 45 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (fma N (+ 1 N) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (expm1 (fma N (+ N 1) 1)) * [exit]simplify: Simplified to (expm1 (fma N (+ N 1) 1)) * * * * [misc]progress: [ 48 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (fma N (+ 1 N) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log1p (fma N (+ N 1) 1)) * [exit]simplify: Simplified to (log1p (fma N (+ N 1) 1)) * * * * [misc]progress: [ 49 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* N (+ 1 N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (fma N N N) * [exit]simplify: Simplified to (fma N N N) * * * * [misc]progress: [ 50 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (fma N (+ 1 N) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (fma N (+ N 1) 1)) * [exit]simplify: Simplified to (log (fma N (+ N 1) 1)) * * * * [misc]progress: [ 52 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma N (+ 1 N) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (fma N (+ N 1) 1)) * [exit]simplify: Simplified to (exp (fma N (+ N 1) 1)) * * * * [misc]progress: [ 53 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (fma N (+ 1 N) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (fma N (+ N 1) 1)) * [exit]simplify: Simplified to (cbrt (fma N (+ N 1) 1)) * * * * [misc]progress: [ 54 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (fma N (+ 1 N) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cube (fma N (+ N 1) 1)) * [exit]simplify: Simplified to (cube (fma N (+ N 1) 1)) * * * * [misc]progress: [ 55 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma N (+ 1 N) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (fma N (+ N 1) 1)) * [exit]simplify: Simplified to (sqrt (fma N (+ N 1) 1)) * * * * [misc]progress: [ 56 / 56 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: Final touches. * * * [misc]progress: tayloring alt 1 of 6 * [misc]approximate: Taking taylor expansion of (log (exp (- (atan (+ N 1)) (atan N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (- (atan (+ N 1)) (atan N)))) in N * [misc]taylor: Taking taylor expansion of (exp (- (atan (+ N 1)) (atan N))) in N * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ 1 N)) * [misc]taylor: Taking taylor expansion of (atan N) in N * [misc]backup-simplify: Simplify (atan N) into (atan N) * [misc]backup-simplify: Simplify (- (atan N)) into (- (atan N)) * [misc]backup-simplify: Simplify (+ (atan (+ 1 N)) (- (atan N))) into (- (atan (+ 1 N)) (atan N)) * [misc]backup-simplify: Simplify (exp (- (atan (+ 1 N)) (atan N))) into (exp (- (atan (+ 1 N)) (atan N))) * [misc]backup-simplify: Simplify (log (exp (- (atan (+ 1 N)) (atan N)))) into (- (atan (+ 1 N)) (atan N)) * [misc]taylor: Taking taylor expansion of (log (exp (- (atan (+ N 1)) (atan N)))) in N * [misc]taylor: Taking taylor expansion of (exp (- (atan (+ N 1)) (atan N))) in N * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ 1 N)) * [misc]taylor: Taking taylor expansion of (atan N) in N * [misc]backup-simplify: Simplify (atan N) into (atan N) * [misc]backup-simplify: Simplify (- (atan N)) into (- (atan N)) * [misc]backup-simplify: Simplify (+ (atan (+ 1 N)) (- (atan N))) into (- (atan (+ 1 N)) (atan N)) * [misc]backup-simplify: Simplify (exp (- (atan (+ 1 N)) (atan N))) into (exp (- (atan (+ 1 N)) (atan N))) * [misc]backup-simplify: Simplify (log (exp (- (atan (+ 1 N)) (atan N)))) into (- (atan (+ 1 N)) (atan N)) * [misc]backup-simplify: Simplify (- (atan (+ 1 N)) (atan N)) into (- (atan (+ 1 N)) (atan N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (+ 1 N)) (atan N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (- (atan (+ 1 N)) (atan N))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (+ 1 N)) (atan N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (- (atan (+ 1 N)) (atan N))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (- (atan (+ 1 N)) (atan N))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (+ 1 N)) (atan N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (- (atan (+ 1 N)) (atan N))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (- (atan (+ 1 N)) (atan N))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (- (atan (+ 1 N)) (atan N))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (+ 1 N)) (atan N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (- (atan (+ 1 N)) (atan N))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (- (atan (+ 1 N)) (atan N))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (- (atan (+ 1 N)) (atan N))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (- (atan (+ 1 N)) (atan N))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (- (atan (+ 1 N)) (atan N))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (+ 1 N)) (atan N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (- (atan (+ 1 N)) (atan N))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (- (atan (+ 1 N)) (atan N))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (- (atan (+ 1 N)) (atan N))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (- (atan (+ 1 N)) (atan N))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (- (atan (+ 1 N)) (atan N))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (- (atan (+ 1 N)) (atan N))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (- (atan (+ 1 N)) (atan N))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (+ 1 N)) (atan N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (- (atan (+ 1 N)) (atan N))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (- (atan (+ 1 N)) (atan N))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (- (atan (+ 1 N)) (atan N))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (- (atan (+ 1 N)) (atan N))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (- (atan (+ 1 N)) (atan N))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (- (atan (+ 1 N)) (atan N))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (- (atan (+ 1 N)) (atan N))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (- (atan (+ 1 N)) (atan N))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (- (atan (+ 1 N)) (atan N))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (- (atan (+ 1 N)) (atan N))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (- (atan (+ 1 N)) (atan N))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (atan (+ 1 N)) (atan N)) into (- (atan (+ 1 N)) (atan N)) * [misc]approximate: Taking taylor expansion of (log (exp (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (exp (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) * [misc]backup-simplify: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) * [misc]backup-simplify: Simplify (+ (atan (+ 1 (/ 1 N))) (- (atan (/ 1 N)))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * [misc]backup-simplify: Simplify (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) into (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) * [misc]backup-simplify: Simplify (log (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * [misc]taylor: Taking taylor expansion of (log (exp (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (exp (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) * [misc]backup-simplify: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) * [misc]backup-simplify: Simplify (+ (atan (+ 1 (/ 1 N))) (- (atan (/ 1 N)))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * [misc]backup-simplify: Simplify (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) into (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) * [misc]backup-simplify: Simplify (log (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * [misc]backup-simplify: Simplify (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * [misc]approximate: Taking taylor expansion of (log (exp (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (exp (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- N))) in N * [misc]backup-simplify: Simplify (atan (/ 1 (- N))) into (atan (/ -1 N)) * [misc]backup-simplify: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) * [misc]backup-simplify: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * [misc]backup-simplify: Simplify (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) into (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) * [misc]backup-simplify: Simplify (log (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * [misc]taylor: Taking taylor expansion of (log (exp (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (exp (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- N))) in N * [misc]backup-simplify: Simplify (atan (/ 1 (- N))) into (atan (/ -1 N)) * [misc]backup-simplify: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) * [misc]backup-simplify: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * [misc]backup-simplify: Simplify (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) into (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) * [misc]backup-simplify: Simplify (log (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * [misc]approximate: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ 1 N)) * [misc]taylor: Taking taylor expansion of (atan N) in N * [misc]backup-simplify: Simplify (atan N) into (atan N) * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ 1 N)) * [misc]taylor: Taking taylor expansion of (atan N) in N * [misc]backup-simplify: Simplify (atan N) into (atan N) * [misc]backup-simplify: Simplify (- (atan N)) into (- (atan N)) * [misc]backup-simplify: Simplify (+ (atan (+ 1 N)) (- (atan N))) into (- (atan (+ 1 N)) (atan N)) * [misc]backup-simplify: Simplify (- (atan (+ 1 N)) (atan N)) into (- (atan (+ 1 N)) (atan N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (atan (+ 1 N)) (atan N)) into (- (atan (+ 1 N)) (atan N)) * [misc]approximate: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) * [misc]backup-simplify: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) * [misc]backup-simplify: Simplify (+ (atan (+ 1 (/ 1 N))) (- (atan (/ 1 N)))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * [misc]backup-simplify: Simplify (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * [misc]approximate: Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- N))) in N * [misc]backup-simplify: Simplify (atan (/ 1 (- N))) into (atan (/ -1 N)) * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- N))) in N * [misc]backup-simplify: Simplify (atan (/ 1 (- N))) into (atan (/ -1 N)) * [misc]backup-simplify: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) * [misc]backup-simplify: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * [misc]approximate: Taking taylor expansion of (exp (- (atan (+ N 1)) (atan N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (exp (- (atan (+ N 1)) (atan N))) in N * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ 1 N)) * [misc]taylor: Taking taylor expansion of (atan N) in N * [misc]backup-simplify: Simplify (atan N) into (atan N) * [misc]backup-simplify: Simplify (- (atan N)) into (- (atan N)) * [misc]backup-simplify: Simplify (+ (atan (+ 1 N)) (- (atan N))) into (- (atan (+ 1 N)) (atan N)) * [misc]backup-simplify: Simplify (exp (- (atan (+ 1 N)) (atan N))) into (exp (- (atan (+ 1 N)) (atan N))) * [misc]taylor: Taking taylor expansion of (exp (- (atan (+ N 1)) (atan N))) in N * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ 1 N)) * [misc]taylor: Taking taylor expansion of (atan N) in N * [misc]backup-simplify: Simplify (atan N) into (atan N) * [misc]backup-simplify: Simplify (- (atan N)) into (- (atan N)) * [misc]backup-simplify: Simplify (+ (atan (+ 1 N)) (- (atan N))) into (- (atan (+ 1 N)) (atan N)) * [misc]backup-simplify: Simplify (exp (- (atan (+ 1 N)) (atan N))) into (exp (- (atan (+ 1 N)) (atan N))) * [misc]backup-simplify: Simplify (exp (- (atan (+ 1 N)) (atan N))) into (exp (- (atan (+ 1 N)) (atan N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (+ 1 N)) (atan N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (+ 1 N)) (atan N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (+ 1 N)) (atan N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (+ 1 N)) (atan N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (+ 1 N)) (atan N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (+ 1 N)) (atan N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (- (atan (+ 1 N)) (atan N))) into (exp (- (atan (+ 1 N)) (atan N))) * [misc]approximate: Taking taylor expansion of (exp (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (exp (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) * [misc]backup-simplify: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) * [misc]backup-simplify: Simplify (+ (atan (+ 1 (/ 1 N))) (- (atan (/ 1 N)))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * [misc]backup-simplify: Simplify (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) into (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (exp (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) * [misc]backup-simplify: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) * [misc]backup-simplify: Simplify (+ (atan (+ 1 (/ 1 N))) (- (atan (/ 1 N)))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * [misc]backup-simplify: Simplify (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) into (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) * [misc]backup-simplify: Simplify (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) into (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) into (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) * [misc]approximate: Taking taylor expansion of (exp (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (exp (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- N))) in N * [misc]backup-simplify: Simplify (atan (/ 1 (- N))) into (atan (/ -1 N)) * [misc]backup-simplify: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) * [misc]backup-simplify: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * [misc]backup-simplify: Simplify (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) into (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) * [misc]taylor: Taking taylor expansion of (exp (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- N))) in N * [misc]backup-simplify: Simplify (atan (/ 1 (- N))) into (atan (/ -1 N)) * [misc]backup-simplify: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) * [misc]backup-simplify: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * [misc]backup-simplify: Simplify (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) into (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) * [misc]backup-simplify: Simplify (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) into (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) into (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) * [misc]approximate: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ 1 N)) * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ 1 N)) * [misc]backup-simplify: Simplify (atan (+ 1 N)) into (atan (+ 1 N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (+ 1 N)) into (atan (+ 1 N)) * [misc]approximate: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N))) * [misc]backup-simplify: Simplify (atan (+ 1 (/ 1 N))) into (atan (+ 1 (/ 1 N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (+ 1 (/ 1 N))) into (atan (+ 1 (/ 1 N))) * [misc]approximate: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) * * * [misc]progress: tayloring alt 2 of 6 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]approximate: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]approximate: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]approximate: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) 0) (* 0 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma N (+ 1 N) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma N (+ 1 N) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma N (+ 1 N) 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma N (+ 1 N) 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) 0) (* 0 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 0) (* 0 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]approximate: Taking taylor expansion of (fma N (+ 1 N) 1) in (N) around 0 * [misc]taylor: Taking taylor expansion of (fma N (+ 1 N) 1) in N * [misc]backup-simplify: Simplify (fma N (+ 1 N) 1) into (fma N (+ 1 N) 1) * [misc]taylor: Taking taylor expansion of (fma N (+ 1 N) 1) in N * [misc]backup-simplify: Simplify (fma N (+ 1 N) 1) into (fma N (+ 1 N) 1) * [misc]backup-simplify: Simplify (fma N (+ 1 N) 1) into (fma N (+ 1 N) 1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fma N (+ 1 N) 1) into (fma N (+ 1 N) 1) * [misc]approximate: Taking taylor expansion of (fma (/ 1 N) (+ 1 (/ 1 N)) 1) in (N) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (+ 1 (/ 1 N)) 1) in N * [misc]backup-simplify: Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ 1 (/ 1 N)) 1) * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (+ 1 (/ 1 N)) 1) in N * [misc]backup-simplify: Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ 1 (/ 1 N)) 1) * [misc]backup-simplify: Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ 1 (/ 1 N)) 1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ 1 (/ 1 N)) 1) * [misc]approximate: Taking taylor expansion of (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) in (N) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) in N * [misc]backup-simplify: Simplify (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1) * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) in N * [misc]backup-simplify: Simplify (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1) * [misc]backup-simplify: Simplify (fma (/ -1 N) (- 1 (/ 1 N)) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fma (/ -1 N) (- 1 (/ 1 N)) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1) * * * [misc]progress: tayloring alt 3 of 6 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) into (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) into (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4) (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4)) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4) 0) (* 0 (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) into (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) into (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4) (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4)) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4) 0) (* 0 (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) into (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) into (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4)) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4) 0) (* 0 (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]approximate: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]approximate: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]approximate: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) into (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))) into (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) into 0 * [misc]backup-simplify: Simplify (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4) into (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4) into (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) into (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) into (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))))) into 0 * [misc]backup-simplify: Simplify (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4) into (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4) into (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4) * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) into (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) into (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))))) into 0 * [misc]backup-simplify: Simplify (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4) into (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4) into (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4) * * * [misc]progress: tayloring alt 4 of 6 * [misc]approximate: Taking taylor expansion of (cbrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) in N * [misc]backup-simplify: Simplify (cbrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) into (cbrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]taylor: Taking taylor expansion of (cbrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) in N * [misc]backup-simplify: Simplify (cbrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) into (cbrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]backup-simplify: Simplify (cbrt (atan2 1 (fma N (+ 1 N) 1))) into (cbrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (atan2 1 (fma N (+ 1 N) 1))) into (cbrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]approximate: Taking taylor expansion of (cbrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in N * [misc]backup-simplify: Simplify (cbrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (cbrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]taylor: Taking taylor expansion of (cbrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in N * [misc]backup-simplify: Simplify (cbrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (cbrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (cbrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (cbrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (cbrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]approximate: Taking taylor expansion of (cbrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in N * [misc]backup-simplify: Simplify (cbrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (cbrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]taylor: Taking taylor expansion of (cbrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in N * [misc]backup-simplify: Simplify (cbrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (cbrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (cbrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (cbrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (cbrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]approximate: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]approximate: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]approximate: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]approximate: Taking taylor expansion of (cube (cbrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) in N * [misc]backup-simplify: Simplify (cube (cbrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) in N * [misc]backup-simplify: Simplify (cube (cbrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]approximate: Taking taylor expansion of (cube (cbrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) in N * [misc]backup-simplify: Simplify (cube (cbrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) in N * [misc]backup-simplify: Simplify (cube (cbrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]approximate: Taking taylor expansion of (cube (cbrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) in N * [misc]backup-simplify: Simplify (cube (cbrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) in N * [misc]backup-simplify: Simplify (cube (cbrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]approximate: Taking taylor expansion of (fma N (+ 1 N) 1) in (N) around 0 * [misc]taylor: Taking taylor expansion of (fma N (+ 1 N) 1) in N * [misc]backup-simplify: Simplify (fma N (+ 1 N) 1) into (fma N (+ 1 N) 1) * [misc]taylor: Taking taylor expansion of (fma N (+ 1 N) 1) in N * [misc]backup-simplify: Simplify (fma N (+ 1 N) 1) into (fma N (+ 1 N) 1) * [misc]backup-simplify: Simplify (fma N (+ 1 N) 1) into (fma N (+ 1 N) 1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fma N (+ 1 N) 1) into (fma N (+ 1 N) 1) * [misc]approximate: Taking taylor expansion of (fma (/ 1 N) (+ 1 (/ 1 N)) 1) in (N) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (+ 1 (/ 1 N)) 1) in N * [misc]backup-simplify: Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ 1 (/ 1 N)) 1) * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (+ 1 (/ 1 N)) 1) in N * [misc]backup-simplify: Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ 1 (/ 1 N)) 1) * [misc]backup-simplify: Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ 1 (/ 1 N)) 1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ 1 (/ 1 N)) 1) * [misc]approximate: Taking taylor expansion of (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) in (N) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) in N * [misc]backup-simplify: Simplify (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1) * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) in N * [misc]backup-simplify: Simplify (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1) * [misc]backup-simplify: Simplify (fma (/ -1 N) (- 1 (/ 1 N)) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fma (/ -1 N) (- 1 (/ 1 N)) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1) * * * [misc]progress: tayloring alt 5 of 6 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]approximate: Taking taylor expansion of (cube (cbrt (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma N (+ 1 N) 1))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]approximate: Taking taylor expansion of (cube (cbrt (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]approximate: Taking taylor expansion of (cube (cbrt (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]approximate: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]approximate: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]approximate: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]approximate: Taking taylor expansion of (sqr (cube (cbrt (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqr (cube (cbrt (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))))) in N * [misc]taylor: Taking taylor expansion of (cube (cbrt (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]taylor: Taking taylor expansion of (sqr (cube (cbrt (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))))) in N * [misc]taylor: Taking taylor expansion of (cube (cbrt (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))))) into (sqrt (atan2 1 (fma N (+ 1 N) 1))) * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) (sqrt (atan2 1 (fma N (+ 1 N) 1)))) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) 0) (* 0 (sqrt (atan2 1 (fma N (+ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma N (+ 1 N) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma N (+ 1 N) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma N (+ 1 N) 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma N (+ 1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma N (+ 1 N) 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]approximate: Taking taylor expansion of (sqr (cube (cbrt (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqr (cube (cbrt (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))))) in N * [misc]taylor: Taking taylor expansion of (cube (cbrt (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]taylor: Taking taylor expansion of (sqr (cube (cbrt (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))))) in N * [misc]taylor: Taking taylor expansion of (cube (cbrt (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) 0) (* 0 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]approximate: Taking taylor expansion of (sqr (cube (cbrt (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqr (cube (cbrt (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))))) in N * [misc]taylor: Taking taylor expansion of (cube (cbrt (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]taylor: Taking taylor expansion of (sqr (cube (cbrt (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))))) in N * [misc]taylor: Taking taylor expansion of (cube (cbrt (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))))) in N * [misc]backup-simplify: Simplify (cube (cbrt (sqrt (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))))) into (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 0) (* 0 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * * * [misc]progress: tayloring alt 6 of 6 * [misc]approximate: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma N (+ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma N (+ 1 N) 1)) into (atan2 1 (fma N (+ 1 N) 1)) * [misc]approximate: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]approximate: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]taylor: Taking taylor expansion of (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) in N * [misc]backup-simplify: Simplify (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) into (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]approximate: Taking taylor expansion of (fma N (+ 1 N) 1) in (N) around 0 * [misc]taylor: Taking taylor expansion of (fma N (+ 1 N) 1) in N * [misc]backup-simplify: Simplify (fma N (+ 1 N) 1) into (fma N (+ 1 N) 1) * [misc]taylor: Taking taylor expansion of (fma N (+ 1 N) 1) in N * [misc]backup-simplify: Simplify (fma N (+ 1 N) 1) into (fma N (+ 1 N) 1) * [misc]backup-simplify: Simplify (fma N (+ 1 N) 1) into (fma N (+ 1 N) 1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fma N (+ 1 N) 1) into (fma N (+ 1 N) 1) * [misc]approximate: Taking taylor expansion of (fma (/ 1 N) (+ 1 (/ 1 N)) 1) in (N) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (+ 1 (/ 1 N)) 1) in N * [misc]backup-simplify: Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ 1 (/ 1 N)) 1) * [misc]taylor: Taking taylor expansion of (fma (/ 1 N) (+ 1 (/ 1 N)) 1) in N * [misc]backup-simplify: Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ 1 (/ 1 N)) 1) * [misc]backup-simplify: Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ 1 (/ 1 N)) 1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fma (/ 1 N) (+ 1 (/ 1 N)) 1) into (fma (/ 1 N) (+ 1 (/ 1 N)) 1) * [misc]approximate: Taking taylor expansion of (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) in (N) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) in N * [misc]backup-simplify: Simplify (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1) * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) in N * [misc]backup-simplify: Simplify (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1) * [misc]backup-simplify: Simplify (fma (/ -1 N) (- 1 (/ 1 N)) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (fma (/ -1 N) (- 1 (/ 1 N)) 1) into (fma (/ -1 N) (- 1 (/ 1 N)) 1) * * * [misc]progress: simplifying alt 1 of 66 * [enter]simplify: Simplifying (- (atan (+ 1 N)) (atan N)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [misc]none: prog is (λ (N) (- (atan (+ 1 N)) (atan N))) * * * [misc]progress: simplifying alt 2 of 66 * [enter]simplify: Simplifying (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * [misc]none: prog is (λ (N) (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) * * * [misc]progress: simplifying alt 3 of 66 * [enter]simplify: Simplifying (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * [misc]none: prog is (λ (N) (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) * * * [misc]progress: simplifying alt 4 of 66 * [enter]simplify: Simplifying (log (exp (- (atan (+ 1 N)) (atan N)))) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [misc]none: prog is (λ (N) (- (atan (+ 1 N)) (atan N))) * * * [misc]progress: simplifying alt 5 of 66 * [enter]simplify: Simplifying (log (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * [misc]none: prog is (λ (N) (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) * * * [misc]progress: simplifying alt 6 of 66 * [enter]simplify: Simplifying (log (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))))) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * [misc]none: prog is (λ (N) (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) * * * [misc]progress: simplifying alt 7 of 66 * [enter]simplify: Simplifying (log (exp (- (atan (+ 1 N)) (atan N)))) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [misc]none: prog is (λ (N) (- (atan (+ 1 N)) (atan N))) * * * [misc]progress: simplifying alt 8 of 66 * [enter]simplify: Simplifying (log (exp (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * [misc]none: prog is (λ (N) (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N)))) * * * [misc]progress: simplifying alt 9 of 66 * [enter]simplify: Simplifying (log (exp (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))))) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * [misc]none: prog is (λ (N) (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))) * * * [misc]progress: simplifying alt 10 of 66 * [enter]simplify: Simplifying (log (exp (- (atan (+ 1 N)) (atan N)))) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [misc]none: prog is (λ (N) (- (atan (+ 1 N)) (atan N))) * * * [misc]progress: simplifying alt 11 of 66 * [enter]simplify: Simplifying (log (exp (- (atan (+ 1 (/ 1 N))) (atan N)))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 (/ 1 N))) (atan N)) * [misc]none: prog is (λ (N) (- (atan (+ 1 (/ 1 N))) (atan N))) * * * [misc]progress: simplifying alt 12 of 66 * [enter]simplify: Simplifying (log (exp (- (atan (- 1 (/ 1 N))) (atan N)))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (- (atan (- 1 (/ 1 N))) (atan N)) * [misc]none: prog is (λ (N) (- (atan (- 1 (/ 1 N))) (atan N))) * * * [misc]progress: simplifying alt 13 of 66 * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (fma N (+ 1 N) 1)))) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (atan2 1 (fma N (+ 1 N) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma N (+ 1 N) 1))) * * * [misc]progress: simplifying alt 14 of 66 * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 15 of 66 * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 16 of 66 * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (fma N (+ 1 N) 1)))) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (atan2 1 (fma N (+ 1 N) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma N (+ 1 N) 1))) * * * [misc]progress: simplifying alt 17 of 66 * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 18 of 66 * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 19 of 66 * [enter]simplify: Simplifying (atan2 1 (fma N (+ 1 N) 1)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (atan2 1 (fma N (+ 1 N) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma N (+ 1 N) 1))) * * * [misc]progress: simplifying alt 20 of 66 * [enter]simplify: Simplifying (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 21 of 66 * [enter]simplify: Simplifying (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 22 of 66 * [enter]simplify: Simplifying (sqr (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (atan2 (- 1 0) (fma N (+ N 1) 1)) * [misc]none: prog is (λ (N) (atan2 (- 1 0) (fma N (+ N 1) 1))) * * * [misc]progress: simplifying alt 23 of 66 * [enter]simplify: Simplifying (sqr (sqrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (atan2 (- 1 0) (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * [misc]none: prog is (λ (N) (atan2 (- 1 0) (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * * * [misc]progress: simplifying alt 24 of 66 * [enter]simplify: Simplifying (sqr (sqrt (atan2 (- 1 0) (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (atan2 (- 1 0) (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 (- 1 0) (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 25 of 66 * [enter]simplify: Simplifying (sqr (sqr (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (atan2 1 (fma N (+ 1 N) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma N (+ 1 N) 1))) * * * [misc]progress: simplifying alt 26 of 66 * [enter]simplify: Simplifying (sqr (sqr (sqrt (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 27 of 66 * [enter]simplify: Simplifying (sqr (sqr (sqrt (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 28 of 66 * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (fma N (+ 1 N) 1)))) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (atan2 1 (fma N (+ 1 N) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma N (+ 1 N) 1))) * * * [misc]progress: simplifying alt 29 of 66 * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 30 of 66 * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 31 of 66 * [enter]simplify: Simplifying (sqr (sqr (sqrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (atan2 1 (fma N (+ 1 N) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma N (+ 1 N) 1))) * * * [misc]progress: simplifying alt 32 of 66 * [enter]simplify: Simplifying (sqr (sqr (sqrt (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 33 of 66 * [enter]simplify: Simplifying (sqr (sqr (sqrt (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 34 of 66 * [enter]simplify: Simplifying (sqr (sqr (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (sqr (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4)) (sqr (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4))) * [misc]none: prog is (λ (N) (* (sqr (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4)) (sqr (pow (atan2 1 (fma N (+ 1 N) 1)) 1/4)))) * * * [misc]progress: simplifying alt 35 of 66 * [enter]simplify: Simplifying (sqr (sqr (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4) (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4)) (* (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4) (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4))) * [misc]none: prog is (λ (N) (* (* (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4) (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4)) (* (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4) (pow (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) 1/4)))) * * * [misc]progress: simplifying alt 36 of 66 * [enter]simplify: Simplifying (sqr (sqr (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (* (* (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4)) (* (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4))) * [misc]none: prog is (λ (N) (* (* (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4)) (* (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4) (pow (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) 1/4)))) * * * [misc]progress: simplifying alt 37 of 66 * [enter]simplify: Simplifying (cube (cbrt (atan2 1 (fma N (+ 1 N) 1)))) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (atan2 1 (fma N (+ 1 N) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma N (+ 1 N) 1))) * * * [misc]progress: simplifying alt 38 of 66 * [enter]simplify: Simplifying (cube (cbrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 39 of 66 * [enter]simplify: Simplifying (cube (cbrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 40 of 66 * [enter]simplify: Simplifying (cube (cbrt (atan2 1 (fma N (+ 1 N) 1)))) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (atan2 1 (fma N (+ 1 N) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma N (+ 1 N) 1))) * * * [misc]progress: simplifying alt 41 of 66 * [enter]simplify: Simplifying (cube (cbrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 42 of 66 * [enter]simplify: Simplifying (cube (cbrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 43 of 66 * [enter]simplify: Simplifying (atan2 1 (fma N (+ 1 N) 1)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (atan2 1 (fma N (+ 1 N) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma N (+ 1 N) 1))) * * * [misc]progress: simplifying alt 44 of 66 * [enter]simplify: Simplifying (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 45 of 66 * [enter]simplify: Simplifying (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 46 of 66 * [enter]simplify: Simplifying (cube (cbrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (atan2 (- 1 0) (fma N (+ N 1) 1)) * [misc]none: prog is (λ (N) (atan2 (- 1 0) (fma N (+ N 1) 1))) * * * [misc]progress: simplifying alt 47 of 66 * [enter]simplify: Simplifying (cube (cbrt (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (atan2 (- 1 0) (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * [misc]none: prog is (λ (N) (atan2 (- 1 0) (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * * * [misc]progress: simplifying alt 48 of 66 * [enter]simplify: Simplifying (cube (cbrt (atan2 (- 1 0) (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (atan2 (- 1 0) (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 (- 1 0) (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 49 of 66 * [enter]simplify: Simplifying (sqr (cube (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (atan2 1 (fma N (+ 1 N) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma N (+ 1 N) 1))) * * * [misc]progress: simplifying alt 50 of 66 * [enter]simplify: Simplifying (sqr (cube (cbrt (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 51 of 66 * [enter]simplify: Simplifying (sqr (cube (cbrt (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 52 of 66 * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (fma N (+ 1 N) 1)))) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (atan2 1 (fma N (+ 1 N) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma N (+ 1 N) 1))) * * * [misc]progress: simplifying alt 53 of 66 * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 54 of 66 * [enter]simplify: Simplifying (sqr (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 55 of 66 * [enter]simplify: Simplifying (sqr (cube (cbrt (sqrt (atan2 1 (fma N (+ 1 N) 1)))))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (atan2 1 (fma N (+ 1 N) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma N (+ 1 N) 1))) * * * [misc]progress: simplifying alt 56 of 66 * [enter]simplify: Simplifying (sqr (cube (cbrt (sqrt (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 57 of 66 * [enter]simplify: Simplifying (sqr (cube (cbrt (sqrt (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 58 of 66 * [enter]simplify: Simplifying (atan2 1 (fma N (+ 1 N) 1)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (atan2 1 (fma N (+ 1 N) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma N (+ 1 N) 1))) * * * [misc]progress: simplifying alt 59 of 66 * [enter]simplify: Simplifying (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 60 of 66 * [enter]simplify: Simplifying (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 61 of 66 * [enter]simplify: Simplifying (atan2 1 (fma N (+ 1 N) 1)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (atan2 1 (fma N (+ 1 N) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma N (+ 1 N) 1))) * * * [misc]progress: simplifying alt 62 of 66 * [enter]simplify: Simplifying (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 63 of 66 * [enter]simplify: Simplifying (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * * * [misc]progress: simplifying alt 64 of 66 * [enter]simplify: Simplifying (atan2 (- 1 0) (fma N (+ 1 N) 1)) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (atan2 (- 1 0) (fma N (+ N 1) 1)) * [misc]none: prog is (λ (N) (atan2 (- 1 0) (fma N (+ N 1) 1))) * * * [misc]progress: simplifying alt 65 of 66 * [enter]simplify: Simplifying (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (atan2 (- 1 0) (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * [misc]none: prog is (λ (N) (atan2 (- 1 0) (fma (/ 1 N) (+ (/ 1 N) 1) 1))) * * * [misc]progress: simplifying alt 66 of 66 * [enter]simplify: Simplifying (atan2 (- 1 0) (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (atan2 (- 1 0) (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * [misc]none: prog is (λ (N) (atan2 (- 1 0) (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 N +inf.0)) , with alts (#) * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * [enter]simplify: Simplifying (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1))) * [exit]simplify: Simplified to (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1)))) * [enter]simplify: Simplifying (cbrt (atan2 (- 1 0) (fma N (+ 1 N) 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (cbrt (atan2 (- 1 0) (fma N (+ N 1) 1))) * [exit]simplify: Simplified to (cbrt (atan2 (- 1 0) (fma N (+ N 1) 1))) * [enter]simplify: Simplifying (cbrt (sqrt (atan2 (- 1 0) (fma N (+ 1 N) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 (- 1 0) (fma N (+ N 1) 1)))) * [enter]simplify: Simplifying (+ 1 N) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ 1 N) * [exit]simplify: Simplified to (+ 1 N)