* [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 / 2 ] 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 / 2 ] 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: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 31 ] 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 / 31 ] 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 / 31 ] 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 / 31 ] 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 / 31 ] 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 / 31 ] 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 / 31 ] 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: [ 8 / 31 ] 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: [ 9 / 31 ] 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: [ 10 / 31 ] 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: [ 11 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 31 ] 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: [ 13 / 31 ] 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: [ 14 / 31 ] 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: [ 15 / 31 ] 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: [ 16 / 31 ] 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: [ 17 / 31 ] 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: [ 18 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 31 ] 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: [ 20 / 31 ] 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: [ 21 / 31 ] 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: [ 22 / 31 ] 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: [ 23 / 31 ] 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: [ 24 / 31 ] 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: [ 25 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 31 ] 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: [ 27 / 31 ] 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: [ 28 / 31 ] 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: [ 29 / 31 ] 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: [ 30 / 31 ] 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: [ 31 / 31 ] 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 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: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (expm1 (atan2 (- 1 0) (fma N (+ 1 N) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (atan2 (- 1 0) (fma N (+ 1 N) 1))) in N * [misc]backup-simplify: Simplify (expm1 (atan2 (- 1 0) (fma N (+ 1 N) 1))) into (expm1 (atan2 1 (fma N (+ 1 N) 1))) * [misc]taylor: Taking taylor expansion of (expm1 (atan2 (- 1 0) (fma N (+ 1 N) 1))) in N * [misc]backup-simplify: Simplify (expm1 (atan2 (- 1 0) (fma N (+ 1 N) 1))) into (expm1 (atan2 1 (fma N (+ 1 N) 1))) * [misc]backup-simplify: Simplify (expm1 (atan2 1 (fma N (+ 1 N) 1))) into (expm1 (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 (expm1 (atan2 1 (fma N (+ 1 N) 1))) into (expm1 (atan2 1 (fma N (+ 1 N) 1))) * [misc]approximate: Taking taylor expansion of (expm1 (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in N * [misc]backup-simplify: Simplify (expm1 (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (expm1 (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]taylor: Taking taylor expansion of (expm1 (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) in N * [misc]backup-simplify: Simplify (expm1 (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (expm1 (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (expm1 (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (expm1 (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 (expm1 (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) into (expm1 (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1))) * [misc]approximate: Taking taylor expansion of (expm1 (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in N * [misc]backup-simplify: Simplify (expm1 (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (expm1 (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]taylor: Taking taylor expansion of (expm1 (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) in N * [misc]backup-simplify: Simplify (expm1 (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1))) into (expm1 (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * [misc]backup-simplify: Simplify (expm1 (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (expm1 (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 (expm1 (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) into (expm1 (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1))) * * * * [misc]progress: [ 3 / 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: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (log1p (expm1 (atan2 (- 1 0) (fma N (+ 1 N) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log1p (expm1 (atan2 (- 1 0) (fma N (+ 1 N) 1)))) in N * [misc]backup-simplify: Simplify (log1p (expm1 (atan2 (- 1 0) (fma N (+ 1 N) 1)))) into (log1p (expm1 (atan2 1 (fma N (+ 1 N) 1)))) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (atan2 (- 1 0) (fma N (+ 1 N) 1)))) in N * [misc]backup-simplify: Simplify (log1p (expm1 (atan2 (- 1 0) (fma N (+ 1 N) 1)))) into (log1p (expm1 (atan2 1 (fma N (+ 1 N) 1)))) * [misc]backup-simplify: Simplify (log1p (expm1 (atan2 1 (fma N (+ 1 N) 1)))) into (log1p (expm1 (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 (log1p (expm1 (atan2 1 (fma N (+ 1 N) 1)))) into (log1p (expm1 (atan2 1 (fma N (+ 1 N) 1)))) * [misc]approximate: Taking taylor expansion of (log1p (expm1 (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log1p (expm1 (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) in N * [misc]backup-simplify: Simplify (log1p (expm1 (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) into (log1p (expm1 (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) in N * [misc]backup-simplify: Simplify (log1p (expm1 (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) into (log1p (expm1 (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) * [misc]backup-simplify: Simplify (log1p (expm1 (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) into (log1p (expm1 (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 (log1p (expm1 (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) into (log1p (expm1 (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) * [misc]approximate: Taking taylor expansion of (log1p (expm1 (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log1p (expm1 (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) in N * [misc]backup-simplify: Simplify (log1p (expm1 (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) into (log1p (expm1 (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) in N * [misc]backup-simplify: Simplify (log1p (expm1 (atan2 (- 1 0) (fma (/ 1 (- N)) (+ 1 (/ 1 (- N))) 1)))) into (log1p (expm1 (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) * [misc]backup-simplify: Simplify (log1p (expm1 (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) into (log1p (expm1 (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 (log1p (expm1 (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) into (log1p (expm1 (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (atan2 1 (fma N (+ 1 N) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (atan2 1 (fma N (+ 1 N) 1)) * * * * [misc]progress: [ 2 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * * * * [misc]progress: [ 3 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * * * * [misc]progress: [ 4 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (atan2 1 (fma N (+ 1 N) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (atan2 1 (fma N (+ 1 N) 1)) * * * * [misc]progress: [ 5 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * * * * [misc]progress: [ 6 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * * * * [misc]progress: [ 7 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (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 (atan2 (- 1 0) (fma N (+ N 1) 1)) * * * * [misc]progress: [ 8 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (atan2 (- 1 0) (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (atan2 (- 1 0) (fma (/ 1 N) (+ (/ 1 N) 1) 1)) * * * * [misc]progress: [ 9 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (atan2 (- 1 0) (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (atan2 (- 1 0) (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * * * * [misc]progress: [ 10 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (atan2 1 (fma N (+ 1 N) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (atan2 1 (fma N (+ 1 N) 1)) * * * * [misc]progress: [ 11 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ 1 N) (+ 1 (/ 1 N)) 1)) * * * * [misc]progress: [ 12 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (/ -1 N) (- 1 (/ 1 N)) 1)) * * * * [misc]progress: [ 13 / 51 ] 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: [ 14 / 51 ] 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: [ 15 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 51 ] 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: [ 17 / 51 ] 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: [ 18 / 51 ] 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: [ 19 / 51 ] 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: [ 20 / 51 ] 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: [ 21 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 51 ] 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: [ 23 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (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 (expm1 (atan2 (- 1 0) (fma N (+ N 1) 1)))) * [exit]simplify: Simplified to (expm1 (expm1 (atan2 (- 1 0) (fma N (+ N 1) 1)))) * * * * [misc]progress: [ 24 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (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 (atan2 (- 1 0) (fma N (+ N 1) 1)) * [exit]simplify: Simplified to (atan2 (- 1 0) (fma N (+ N 1) 1)) * * * * [misc]progress: [ 25 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (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 (expm1 (atan2 (- 1 0) (fma N (+ N 1) 1)))) * [exit]simplify: Simplified to (log (expm1 (atan2 (- 1 0) (fma N (+ N 1) 1)))) * * * * [misc]progress: [ 27 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (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 (expm1 (atan2 (- 1 0) (fma N (+ N 1) 1)))) * [exit]simplify: Simplified to (exp (expm1 (atan2 (- 1 0) (fma N (+ N 1) 1)))) * * * * [misc]progress: [ 28 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (expm1 (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 (expm1 (atan2 (- 1 0) (fma N (+ N 1) 1)))) * [exit]simplify: Simplified to (cbrt (expm1 (atan2 (- 1 0) (fma N (+ N 1) 1)))) * * * * [misc]progress: [ 29 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (expm1 (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 (cube (expm1 (atan2 (- 1 0) (fma N (+ N 1) 1)))) * [exit]simplify: Simplified to (cube (expm1 (atan2 (- 1 0) (fma N (+ N 1) 1)))) * * * * [misc]progress: [ 30 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (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 (expm1 (atan2 (- 1 0) (fma N (+ N 1) 1)))) * [exit]simplify: Simplified to (sqrt (expm1 (atan2 (- 1 0) (fma N (+ N 1) 1)))) * * * * [misc]progress: [ 31 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 51 ] 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: [ 33 / 51 ] 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: [ 34 / 51 ] 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: [ 35 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 51 ] 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: [ 37 / 51 ] 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: [ 38 / 51 ] 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: [ 39 / 51 ] 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: [ 40 / 51 ] 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: [ 41 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (expm1 (atan2 (- 1 0) (fma N (+ 1 N) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ 1 (expm1 (atan2 (- 1 0) (fma N (+ N 1) 1)))) * [exit]simplify: Simplified to (+ 1 (expm1 (atan2 (- 1 0) (fma N (+ N 1) 1)))) * * * * [misc]progress: [ 43 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (expm1 (atan2 (- 1 0) (fma N (+ 1 N) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 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: [ 44 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log1p (expm1 (atan2 (- 1 0) (fma N (+ 1 N) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 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: [ 45 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p (expm1 (atan2 (- 1 0) (fma N (+ 1 N) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 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: [ 47 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (expm1 (atan2 (- 1 0) (fma N (+ 1 N) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 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: [ 48 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log1p (expm1 (atan2 (- 1 0) (fma N (+ 1 N) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 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: [ 49 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (log1p (expm1 (atan2 (- 1 0) (fma N (+ 1 N) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 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: [ 50 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (expm1 (atan2 (- 1 0) (fma N (+ 1 N) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 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: [ 51 / 51 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 N +inf.0)) , with alts (#) * [enter]simplify: Simplifying (cbrt (- (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))) * [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))) * [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 (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)))