* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [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 (+ 1 N)) (atan N)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [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 (/ 1 N)))) (atan (/ 1 (/ 1 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 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ 1 N)) (atan 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 (/ 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 (/ 1 (- N))))) into (atan (+ 1 N)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 27 ] 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 (17 enodes) * [exit]simplify: Simplified to (+ 1 (+ N (* N N))) * [exit]simplify: Simplified to (+ 1 (+ N (* N N))) * * * * [misc]progress: [ 2 / 27 ] 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 (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (exp (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 3 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 27 ] 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 (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (log (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 5 / 27 ] 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 (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (exp (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 6 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N)))) * [exit]simplify: Simplified to (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N)))) * [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 (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (cbrt (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 7 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (pow (- (atan (+ 1 N)) (atan N)) 3) * [exit]simplify: Simplified to (pow (- (atan (+ 1 N)) (atan N)) 3) * * * * [misc]progress: [ 8 / 27 ] 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 (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (sqrt (- (atan (+ 1 N)) (atan N))) * [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 (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (sqrt (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 9 / 27 ] 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 (18 enodes) * [exit]simplify: Simplified to (- (pow (atan (+ 1 N)) 3) (pow (atan N) 3)) * [exit]simplify: Simplified to (- (pow (atan (+ 1 N)) 3) (pow (atan N) 3)) * [enter]simplify: Simplifying (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (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 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (+ (* (atan (+ 1 N)) (atan (+ 1 N))) (* (+ (atan N) (atan (+ 1 N))) (atan N))) * [exit]simplify: Simplified to (+ (* (atan (+ 1 N)) (atan (+ 1 N))) (* (+ (atan N) (atan (+ 1 N))) (atan N))) * * * * [misc]progress: [ 10 / 27 ] 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: [ 11 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan N))) * [exit]simplify: Simplified to (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (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 (+ 1 N)) (atan N)) * [exit]simplify: Simplified to (+ (atan (+ 1 N)) (atan N)) * * * * [misc]progress: [ 13 / 27 ] 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 (+ 1 N))) (sqrt (atan N))) * [exit]simplify: Simplified to (+ (sqrt (atan (+ 1 N))) (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 (+ 1 N))) (sqrt (atan N))) * [exit]simplify: Simplified to (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) * * * * [misc]progress: [ 14 / 27 ] 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 (+ 1 N)) (atan N)) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * * * * [misc]progress: [ 15 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 27 ] 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 (+ 1 N))) * [exit]simplify: Simplified to (log (atan (+ 1 N))) * * * * [misc]progress: [ 17 / 27 ] 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 (+ 1 N))) * [exit]simplify: Simplified to (exp (atan (+ 1 N))) * * * * [misc]progress: [ 18 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N)))) * [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 (+ 1 N))) * [exit]simplify: Simplified to (cbrt (atan (+ 1 N))) * * * * [misc]progress: [ 19 / 27 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (pow (atan (+ 1 N)) 3) * [exit]simplify: Simplified to (pow (atan (+ 1 N)) 3) * * * * [misc]progress: [ 20 / 27 ] 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 (+ 1 N))) * [exit]simplify: Simplified to (sqrt (atan (+ 1 N))) * [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 (+ 1 N))) * [exit]simplify: Simplified to (sqrt (atan (+ 1 N))) * * * * [misc]progress: [ 21 / 27 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 27 ] 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 (+ N 1)) (atan N)) * * * * [misc]progress: [ 23 / 27 ] 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 (+ N 1)) (atan N)) * * * * [misc]progress: [ 24 / 27 ] 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 (+ N 1)) (atan N)) * * * * [misc]progress: [ 25 / 27 ] 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 (+ N 1)) (atan N)) * * * * [misc]progress: [ 26 / 27 ] 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 (+ N 1)) (atan N)) * * * * [misc]progress: [ 27 / 27 ] 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 (+ N 1)) (atan N)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) 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 (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]approximate: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 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 (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N))))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]approximate: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 (+ 1 0) (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]backup-simplify: Simplify (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 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 (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ (pow N 2) N) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) N) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 -1)) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) N) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 (+ 1 0) (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (log (atan2 1 (+ 1 (+ (* N N) N)))) * [exit]simplify: Simplified to (log (atan2 1 (+ 1 (+ (* N N) N)))) * * * * [misc]progress: [ 3 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 (+ 1 0) (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (exp (atan2 1 (+ 1 (+ (* N N) N)))) * [exit]simplify: Simplified to (exp (atan2 1 (+ 1 (+ (* N N) N)))) * * * * [misc]progress: [ 4 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan2 (+ 1 0) (+ 1 (* (+ N 1) N)))) (cbrt (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (+ 1 (+ N (* N N))))) (cbrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (+ 1 (+ N (* N N))))) (cbrt (atan2 1 (+ 1 (+ N (* N N)))))) * [enter]simplify: Simplifying (cbrt (atan2 (+ 1 0) (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ 1 (+ (* N N) N)))) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ 1 (+ (* N N) N)))) * * * * [misc]progress: [ 5 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan2 (+ 1 0) (+ 1 (* (+ N 1) N))) (atan2 (+ 1 0) (+ 1 (* (+ N 1) N)))) (atan2 (+ 1 0) (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (pow (atan2 1 (+ 1 (+ (* N N) N))) 3) * [exit]simplify: Simplified to (pow (atan2 1 (+ 1 (+ (* N N) N))) 3) * * * * [misc]progress: [ 6 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 (+ 1 0) (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) * [enter]simplify: Simplifying (sqrt (atan2 (+ 1 0) (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) * * * * [misc]progress: [ 7 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (log (+ (* N N) N)) * [exit]simplify: Simplified to (log (+ (* N N) N)) * * * * [misc]progress: [ 10 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (pow (exp N) (+ 1 N)) * [exit]simplify: Simplified to (pow (exp N) (+ 1 N)) * * * * [misc]progress: [ 11 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N))) * [enter]simplify: Simplifying (cbrt (* (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (cbrt (+ N (* N N))) * [exit]simplify: Simplified to (cbrt (+ N (* N N))) * * * * [misc]progress: [ 12 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ N 1) N) (* (+ N 1) N)) (* (+ N 1) N)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (pow (+ (* N N) N) 3) * [exit]simplify: Simplified to (pow (+ (* N N) N) 3) * * * * [misc]progress: [ 13 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ N (* N N))) * [exit]simplify: Simplified to (sqrt (+ N (* N N))) * [enter]simplify: Simplifying (sqrt (* (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ N (* N N))) * [exit]simplify: Simplified to (sqrt (+ N (* N N))) * * * * [misc]progress: [ 14 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) N) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) N) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) N) * * * * [misc]progress: [ 16 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ N 1)) N) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 N)) N) * [exit]simplify: Simplified to (* (sqrt (+ 1 N)) N) * * * * [misc]progress: [ 17 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ N 1) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (+ (* N N) N) * [exit]simplify: Simplified to (+ (* N N) N) * * * * [misc]progress: [ 18 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow N 3) (pow 1 3)) N) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (+ (* (* N N) (* N N)) N) * [exit]simplify: Simplified to (+ (* (* N N) (* N N)) N) * * * * [misc]progress: [ 19 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* N N) (* 1 1)) N) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* N (- (* N N) 1)) * [exit]simplify: Simplified to (* N (- (* N N) 1)) * * * * [misc]progress: [ 20 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (+ (pow N 2) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 22 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (+ (pow N 2) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 23 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (+ (pow N 2) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 24 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (+ (pow N 2) N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ 1 N))) * * * * [misc]progress: [ 25 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (+ (pow N 2) N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ 1 N))) * * * * [misc]progress: [ 26 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (+ (pow N 2) N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ 1 N))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (* (+ N 1) N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (+ N 1) N)) in N * [misc]taylor: Rewrote expression to (pow (* (+ N 1) N) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ N 1) N)) in N * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (+ N 1) N)) in N * [misc]taylor: Rewrote expression to (pow (* (+ N 1) N) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ N 1) N)) in N * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]backup-simplify: Simplify (pow N 1/3) into (pow N 1/3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (log N))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow N 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow N 1/3)) into (* 1/3 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (log N)))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow N 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow N 1/3)) into (* -1/9 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow N 1/3)) (pow N 2)) (+ (* (* 1/3 (pow N 1/3)) N) (pow N 1/3))) into (- (+ (* 1/3 (pow (pow N 4) 1/3)) (pow N 1/3)) (* 1/9 (pow (pow N 7) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Rewrote expression to (pow (* (+ (/ 1 N) 1) (/ 1 N)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (/ 1 N) 1) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Rewrote expression to (pow (* (+ (/ 1 N) 1) (/ 1 N)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (/ 1 N) 1) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) * [misc]backup-simplify: Simplify (pow N -2/3) into (pow N -2/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 1/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (pow (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (pow (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) * [misc]backup-simplify: Simplify (pow N -2/3) into (pow N -2/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 -1)) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (- (+ (pow (/ -1 N) -2/3) (* 1/3 (pow (/ 1 N) 1/3))) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (* (+ N 1) N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (+ N 1) N)) in N * [misc]taylor: Rewrote expression to (pow (* (+ N 1) N) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ N 1) N)) in N * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (+ N 1) N)) in N * [misc]taylor: Rewrote expression to (pow (* (+ N 1) N) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ N 1) N)) in N * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]backup-simplify: Simplify (pow N 1/3) into (pow N 1/3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (log N))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow N 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow N 1/3)) into (* 1/3 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (log N)))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow N 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow N 1/3)) into (* -1/9 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow N 1/3)) (pow N 2)) (+ (* (* 1/3 (pow N 1/3)) N) (pow N 1/3))) into (- (+ (* 1/3 (pow (pow N 4) 1/3)) (pow N 1/3)) (* 1/9 (pow (pow N 7) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Rewrote expression to (pow (* (+ (/ 1 N) 1) (/ 1 N)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (/ 1 N) 1) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Rewrote expression to (pow (* (+ (/ 1 N) 1) (/ 1 N)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (/ 1 N) 1) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) * [misc]backup-simplify: Simplify (pow N -2/3) into (pow N -2/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 1/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (pow (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (pow (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) * [misc]backup-simplify: Simplify (pow N -2/3) into (pow N -2/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 -1)) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (- (+ (pow (/ -1 N) -2/3) (* 1/3 (pow (/ 1 N) 1/3))) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (* (+ N 1) N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (+ N 1) N)) in N * [misc]taylor: Rewrote expression to (pow (* (+ N 1) N) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ N 1) N)) in N * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (+ N 1) N)) in N * [misc]taylor: Rewrote expression to (pow (* (+ N 1) N) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ N 1) N)) in N * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]backup-simplify: Simplify (pow N 1/3) into (pow N 1/3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (log N))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow N 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow N 1/3)) into (* 1/3 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (log N)))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow N 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow N 1/3)) into (* -1/9 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow N 1/3)) (pow N 2)) (+ (* (* 1/3 (pow N 1/3)) N) (pow N 1/3))) into (- (+ (* 1/3 (pow (pow N 4) 1/3)) (pow N 1/3)) (* 1/9 (pow (pow N 7) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Rewrote expression to (pow (* (+ (/ 1 N) 1) (/ 1 N)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (/ 1 N) 1) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Rewrote expression to (pow (* (+ (/ 1 N) 1) (/ 1 N)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (/ 1 N) 1) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) * [misc]backup-simplify: Simplify (pow N -2/3) into (pow N -2/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (- (+ (* 1/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (pow (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (pow (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) * [misc]backup-simplify: Simplify (pow N -2/3) into (pow N -2/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 -1)) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (- (+ (pow (/ -1 N) -2/3) (* 1/3 (pow (/ 1 N) 1/3))) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) in N * [misc]taylor: Taking taylor expansion of (cbrt (* (+ N 1) N)) in N * [misc]taylor: Rewrote expression to (pow (* (+ N 1) N) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ N 1) N)) in N * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (+ N 1) N)) in N * [misc]taylor: Rewrote expression to (pow (* (+ N 1) N) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ N 1) N)) in N * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) in N * [misc]taylor: Taking taylor expansion of (cbrt (* (+ N 1) N)) in N * [misc]taylor: Rewrote expression to (pow (* (+ N 1) N) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ N 1) N)) in N * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (+ N 1) N)) in N * [misc]taylor: Rewrote expression to (pow (* (+ N 1) N) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ N 1) N)) in N * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]backup-simplify: Simplify (* (pow N 1/3) (pow N 1/3)) into (pow (pow N 2) 1/3) * [misc]backup-simplify: Simplify (pow (pow N 2) 1/3) into (pow (pow N 2) 1/3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (log N))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (log N))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow N 1/3) (* 1/3 (pow N 1/3))) (* (* 1/3 (pow N 1/3)) (pow N 1/3))) into (* 2/3 (pow (pow N 2) 1/3)) * [misc]backup-simplify: Simplify (* 2/3 (pow (pow N 2) 1/3)) into (* 2/3 (pow (pow N 2) 1/3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (log N)))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (log N)))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow N 1/3) (* -1/9 (pow N 1/3))) (+ (* (* 1/3 (pow N 1/3)) (* 1/3 (pow N 1/3))) (* (* -1/9 (pow N 1/3)) (pow N 1/3)))) into (- (* 1/9 (pow (pow N 2) 1/3))) * [misc]backup-simplify: Simplify (- (* 1/9 (pow (pow N 2) 1/3))) into (- (* 1/9 (pow (pow N 2) 1/3))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/9 (pow (pow N 2) 1/3))) (pow N 2)) (+ (* (* 2/3 (pow (pow N 2) 1/3)) N) (pow (pow N 2) 1/3))) into (- (+ (* 2/3 (pow (pow N 5) 1/3)) (pow (pow N 2) 1/3)) (* 1/9 (pow (pow N 8) 1/3))) * [misc]approximate: Taking taylor expansion of (* (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) (cbrt (* (+ (/ 1 N) 1) (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) (cbrt (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Rewrote expression to (pow (* (+ (/ 1 N) 1) (/ 1 N)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (/ 1 N) 1) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Rewrote expression to (pow (* (+ (/ 1 N) 1) (/ 1 N)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (/ 1 N) 1) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) (cbrt (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Rewrote expression to (pow (* (+ (/ 1 N) 1) (/ 1 N)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (/ 1 N) 1) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Rewrote expression to (pow (* (+ (/ 1 N) 1) (/ 1 N)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (/ 1 N) 1) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) * [misc]backup-simplify: Simplify (* (pow N -2/3) (pow N -2/3)) into (pow (/ 1 (pow N 4)) 1/3) * [misc]backup-simplify: Simplify (pow (/ 1 (pow N 4)) 1/3) into (pow (/ 1 (pow N 4)) 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow N -2/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) (pow N -2/3))) into (* 2/3 (pow (/ 1 (pow N 4)) 1/3)) * [misc]backup-simplify: Simplify (* 2/3 (pow (/ 1 (pow N 4)) 1/3)) into (* 2/3 (pow (/ 1 (pow N 4)) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow N -2/3) (* -1/9 (pow (/ 1 (pow N 2)) 1/3))) (+ (* (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) (pow N -2/3)))) into (- (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) * [misc]backup-simplify: Simplify (- (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) into (- (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/9 (pow (/ 1 (pow (/ 1 N) 4)) 1/3))) (pow (/ 1 N) 2)) (+ (* (* 2/3 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (/ 1 N)) (pow (/ 1 (pow (/ 1 N) 4)) 1/3))) into (- (+ (pow (pow N 4) 1/3) (* 2/3 (pow N 1/3))) (* 1/9 (pow (/ 1 (pow N 2)) 1/3))) * [misc]approximate: Taking taylor expansion of (* (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (pow (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (pow (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (pow (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Rewrote expression to (pow (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) * [misc]backup-simplify: Simplify (* (pow N -2/3) (pow N -2/3)) into (pow (/ 1 (pow N 4)) 1/3) * [misc]backup-simplify: Simplify (pow (/ 1 (pow N 4)) 1/3) into (pow (/ 1 (pow N 4)) 1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 -1)) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 -1)) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow N -2/3) (* -1/3 (pow (/ 1 (pow N 2)) 1/3))) (* (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) (pow N -2/3))) into (- (* 2/3 (pow (/ 1 (pow N 4)) 1/3))) * [misc]backup-simplify: Simplify (- (* 2/3 (pow (/ 1 (pow N 4)) 1/3))) into (- (* 2/3 (pow (/ 1 (pow N 4)) 1/3))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow N -2/3) (* -1/9 (pow (/ 1 (pow N 2)) 1/3))) (+ (* (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) (* -1/3 (pow (/ 1 (pow N 2)) 1/3))) (* (* -1/9 (pow (/ 1 (pow N 2)) 1/3)) (pow N -2/3)))) into (- (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) * [misc]backup-simplify: Simplify (- (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) into (- (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/9 (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3))) (pow (/ 1 (- N)) 2)) (+ (* (- (* 2/3 (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3))) (/ 1 (- N))) (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3))) into (- (+ (pow (pow N 4) 1/3) (* 2/3 (pow N 1/3))) (* 1/9 (pow (/ 1 (pow N 2)) 1/3))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (log (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (log (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (exp (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 N)) * [exit]simplify: Simplified to (cbrt (+ 1 N)) * [enter]simplify: Simplifying (cbrt N) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt N) * [exit]simplify: Simplified to (cbrt N) * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (+ (pow N 3) (pow 1 3)) N)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (cbrt (+ N (* (* N N) (* N N)))) * [exit]simplify: Simplified to (cbrt (+ N (* (* N N) (* N N)))) * [enter]simplify: Simplifying (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N N) (- 1 N))) * [exit]simplify: Simplified to (cbrt (+ (* N N) (- 1 N))) * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (- (* N N) (* 1 1)) N)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (cbrt (* N (- (* N N) 1))) * [exit]simplify: Simplified to (cbrt (* N (- (* N N) 1))) * [enter]simplify: Simplifying (cbrt (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (- N 1)) * [exit]simplify: Simplified to (cbrt (- N 1)) * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ N (* N N)))) (cbrt (cbrt (+ N (* N N))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ N (* N N)))) (cbrt (cbrt (+ N (* N N))))) * [enter]simplify: Simplifying (cbrt (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (+ (* N N) N) * [exit]simplify: Simplified to (+ (* N N) N) * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* N N) N))) * [enter]simplify: Simplifying (sqrt (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (log (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (log (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (exp (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 N)) * [exit]simplify: Simplified to (cbrt (+ 1 N)) * [enter]simplify: Simplifying (cbrt N) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt N) * [exit]simplify: Simplified to (cbrt N) * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (+ (pow N 3) (pow 1 3)) N)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (cbrt (+ N (* (* N N) (* N N)))) * [exit]simplify: Simplified to (cbrt (+ N (* (* N N) (* N N)))) * [enter]simplify: Simplifying (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N N) (- 1 N))) * [exit]simplify: Simplified to (cbrt (+ (* N N) (- 1 N))) * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (- (* N N) (* 1 1)) N)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (cbrt (* N (- (* N N) 1))) * [exit]simplify: Simplified to (cbrt (* N (- (* N N) 1))) * [enter]simplify: Simplifying (cbrt (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (- N 1)) * [exit]simplify: Simplified to (cbrt (- N 1)) * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ N (* N N)))) (cbrt (cbrt (+ N (* N N))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ N (* N N)))) (cbrt (cbrt (+ N (* N N))))) * [enter]simplify: Simplifying (cbrt (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (+ (* N N) N) * [exit]simplify: Simplified to (+ (* N N) N) * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* N N) N))) * [enter]simplify: Simplifying (sqrt (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (log (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (log (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (exp (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 N)) * [exit]simplify: Simplified to (cbrt (+ 1 N)) * [enter]simplify: Simplifying (cbrt N) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt N) * [exit]simplify: Simplified to (cbrt N) * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (+ (pow N 3) (pow 1 3)) N)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (cbrt (+ N (* (* N N) (* N N)))) * [exit]simplify: Simplified to (cbrt (+ N (* (* N N) (* N N)))) * [enter]simplify: Simplifying (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N N) (- 1 N))) * [exit]simplify: Simplified to (cbrt (+ (* N N) (- 1 N))) * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (- (* N N) (* 1 1)) N)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (cbrt (* N (- (* N N) 1))) * [exit]simplify: Simplified to (cbrt (* N (- (* N N) 1))) * [enter]simplify: Simplifying (cbrt (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (- N 1)) * [exit]simplify: Simplified to (cbrt (- N 1)) * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ N (* N N)))) (cbrt (cbrt (+ N (* N N))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ N (* N N)))) (cbrt (cbrt (+ N (* N N))))) * [enter]simplify: Simplifying (cbrt (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (cbrt (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (+ (* N N) N) * [exit]simplify: Simplified to (+ (* N N) N) * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* N N) N))) * [enter]simplify: Simplifying (sqrt (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1/3 1/3) * [exit]simplify: Simplified to (+ 1/3 1/3) * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ N 1) N) (* (+ N 1) N)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (+ (* N N) N) (+ (* N N) N)) * [exit]simplify: Simplified to (* (+ (* N N) N) (+ (* N N) N)) * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (* (+ N 1) N))) (log (cbrt (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (+ (* N N) N))) (log (cbrt (+ (* N N) N)))) * [exit]simplify: Simplified to (+ (log (cbrt (+ (* N N) N))) (log (cbrt (+ (* N N) N)))) * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (+ N (* N N)))) (log (cbrt (+ N (* N N))))) * [exit]simplify: Simplified to (+ (log (cbrt (+ N (* N N)))) (log (cbrt (+ N (* N N))))) * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N)))) * [exit]simplify: Simplified to (exp (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N)))) * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ N 1) N) (* (+ N 1) N)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (+ (* N N) N) (+ (* N N) N)) * [exit]simplify: Simplified to (* (+ (* N N) N) (+ (* N N) N)) * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) (cbrt (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N)))) (cbrt (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N))))) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N)))) (cbrt (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N))))) * [enter]simplify: Simplifying (cbrt (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N))))) * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (+ N (* N N)) (+ N (* N N))) * [exit]simplify: Simplified to (* (+ N (* N N)) (+ N (* N N))) * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (fabs (cbrt (+ (* N N) N))) * [enter]simplify: Simplifying (sqrt (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (fabs (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ (pow N 3) (pow 1 3)) N)) (cbrt (* (+ (pow N 3) (pow 1 3)) N))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (cbrt (+ N (* (* N N) (* N N)))) (cbrt (+ N (* (* N N) (* N N))))) * [exit]simplify: Simplified to (* (cbrt (+ N (* (* N N) (* N N)))) (cbrt (+ N (* (* N N) (* N N))))) * [enter]simplify: Simplifying (* (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (+ (* N N) (- (* 1 1) (* N 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* N N) (- 1 N))) (cbrt (+ (* N N) (- 1 N)))) * [exit]simplify: Simplified to (* (cbrt (+ (* N N) (- 1 N))) (cbrt (+ (* N N) (- 1 N)))) * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ (pow N 3) (pow 1 3)) N)) (cbrt (* (- (* N N) (* 1 1)) N))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (cbrt (* N (- (* N N) 1))) (cbrt (+ (* (* N N) (* N N)) N))) * [exit]simplify: Simplified to (* (cbrt (* N (- (* N N) 1))) (cbrt (+ (* (* N N) (* N N)) N))) * [enter]simplify: Simplifying (* (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) (cbrt (- N 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (- N 1)) (cbrt (+ (* N N) (- 1 N)))) * [exit]simplify: Simplified to (* (cbrt (- N 1)) (cbrt (+ (* N N) (- 1 N)))) * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (- (* N N) (* 1 1)) N)) (cbrt (* (+ (pow N 3) (pow 1 3)) N))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (* (cbrt (* N (- (* N N) 1))) (cbrt (+ (* (* N N) (* N N)) N))) * [exit]simplify: Simplified to (* (cbrt (* N (- (* N N) 1))) (cbrt (+ (* (* N N) (* N N)) N))) * [enter]simplify: Simplifying (* (cbrt (- N 1)) (cbrt (+ (* N N) (- (* 1 1) (* N 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (- 1 N) (* N N))) (cbrt (- N 1))) * [exit]simplify: Simplified to (* (cbrt (+ (- 1 N) (* N N))) (cbrt (- N 1))) * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (- (* N N) (* 1 1)) N)) (cbrt (* (- (* N N) (* 1 1)) N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* (cbrt (* N (- (* N N) 1))) (cbrt (* N (- (* N N) 1)))) * [exit]simplify: Simplified to (* (cbrt (* N (- (* N N) 1))) (cbrt (* N (- (* N N) 1)))) * [enter]simplify: Simplifying (* (cbrt (- N 1)) (cbrt (- N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (- N 1)) (cbrt (- N 1))) * [exit]simplify: Simplified to (* (cbrt (- N 1)) (cbrt (- N 1))) * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ N 1) N)) (cbrt (+ N 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ N 1) N)) (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (cbrt (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (+ N (* N N)))) (cbrt (+ N (* N N)))) (cbrt (cbrt (+ N (* N N))))) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (+ N (* N N)))) (cbrt (+ N (* N N)))) (cbrt (cbrt (+ N (* N N))))) * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ N 1) N)) (sqrt (cbrt (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (+ (* N N) N))) (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (* (sqrt (cbrt (+ (* N N) N))) (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ N 1) N)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (cbrt (+ N (* N N))) * [exit]simplify: Simplified to (cbrt (+ N (* N N))) * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt N) (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (+ N (* N N))) (cbrt N)) * [exit]simplify: Simplified to (* (cbrt (+ N (* N N))) (cbrt N)) * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ (* N N) N))) (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ (* N N) N))) (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (+ (* N N) N))) (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (* (sqrt (cbrt (+ (* N N) N))) (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ N 1) N)) (cbrt (* (+ (pow N 3) (pow 1 3)) N))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (cbrt (+ N (* (* N N) (* N N)))) (cbrt (+ (* N N) N))) * [exit]simplify: Simplified to (* (cbrt (+ N (* (* N N) (* N N)))) (cbrt (+ (* N N) N))) * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ N 1) N)) (cbrt (* (- (* N N) (* 1 1)) N))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (* (cbrt (* (- (* N N) 1) N)) (cbrt (+ N (* N N)))) * [exit]simplify: Simplified to (* (cbrt (* (- (* N N) 1) N)) (cbrt (+ N (* N N)))) * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ (pow N 3) (pow 1 3)) N)) (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* N N) N)) (cbrt (+ (* (* N N) (* N N)) N))) * [exit]simplify: Simplified to (* (cbrt (+ (* N N) N)) (cbrt (+ (* (* N N) (* N N)) N))) * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (- (* N N) (* 1 1)) N)) (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (* (cbrt (* N (- (* N N) 1))) (cbrt (+ N (* N N)))) * [exit]simplify: Simplified to (* (cbrt (* N (- (* N N) 1))) (cbrt (+ N (* N N)))) * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (- (+ (* 1/3 (pow (pow N 4) 1/3)) (pow N 1/3)) (* 1/9 (pow (pow N 7) 1/3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (atan2 1 (+ 1 (* (+ (- (cbrt N) (* 1/9 (cbrt (pow N 7)))) (* 1/3 (cbrt (pow N 4)))) (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N)))))) * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (- (+ (* 1/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (atan2 1 (+ 1 (* (- (+ (* (cbrt (/ 1 N)) 1/3) (pow (/ 1 N) -2/3)) (* 1/9 (cbrt (/ 1 (pow N 4))))) (* (cbrt (+ (* N N) N)) (cbrt (+ (* N N) N)))))) * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) (- (+ (pow (/ -1 N) -2/3) (* 1/3 (pow (/ 1 N) 1/3))) (* 1/9 (pow (/ 1 (pow N 4)) 1/3)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (atan2 1 (+ 1 (* (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N)))) (- (+ (* 1/3 (cbrt (/ 1 N))) (pow (/ -1 N) -2/3)) (* (cbrt (/ 1 (pow N 4))) 1/9))))) * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (* (cbrt (* (+ N 1) N)) (- (+ (* 1/3 (pow (pow N 4) 1/3)) (pow N 1/3)) (* 1/9 (pow (pow N 7) 1/3)))) (cbrt (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (atan2 1 (+ 1 (* (+ (* (cbrt (pow N 4)) 1/3) (- (cbrt N) (* 1/9 (cbrt (pow N 7))))) (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N))))))) * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (* (cbrt (* (+ N 1) N)) (- (+ (* 1/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3)))) (cbrt (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (atan2 1 (+ 1 (* (- (+ (pow (/ 1 N) -2/3) (* (cbrt (/ 1 N)) 1/3)) (* 1/9 (cbrt (/ 1 (pow N 4))))) (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N))))))) * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (* (cbrt (* (+ N 1) N)) (- (+ (pow (/ -1 N) -2/3) (* 1/3 (pow (/ 1 N) 1/3))) (* 1/9 (pow (/ 1 (pow N 4)) 1/3)))) (cbrt (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (atan2 1 (+ 1 (* (- (+ (* 1/3 (cbrt (/ 1 N))) (pow (/ -1 N) -2/3)) (* (cbrt (/ 1 (pow N 4))) 1/9)) (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N))))))) * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (* (- (+ (* 1/3 (pow (pow N 4) 1/3)) (pow N 1/3)) (* 1/9 (pow (pow N 7) 1/3))) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (atan2 1 (+ 1 (* (+ (cbrt N) (- (* 1/3 (cbrt (pow N 4))) (* (cbrt (pow N 7)) 1/9))) (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N))))))) * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (* (- (+ (* 1/3 (pow (/ 1 N) 1/3)) (pow (/ 1 N) -2/3)) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (atan2 1 (+ 1 (* (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N)))) (- (+ (pow (/ 1 N) -2/3) (* 1/3 (cbrt (/ 1 N)))) (* 1/9 (cbrt (/ 1 (pow N 4)))))))) * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (* (- (+ (pow (/ -1 N) -2/3) (* 1/3 (pow (/ 1 N) 1/3))) (* 1/9 (pow (/ 1 (pow N 4)) 1/3))) (cbrt (* (+ N 1) N))) (cbrt (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (atan2 1 (+ 1 (* (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N)))) (- (+ (* (cbrt (/ 1 N)) 1/3) (pow (/ -1 N) -2/3)) (* (cbrt (/ 1 (pow N 4))) 1/9))))) * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (- (+ (* 2/3 (pow (pow N 5) 1/3)) (pow (pow N 2) 1/3)) (* 1/9 (pow (pow N 8) 1/3))) (cbrt (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 (* (cbrt (* N N)) (cbrt (+ (* N N) N)))) (* (- (* (cbrt (pow N 5)) 2/3) (* 1/9 (cbrt (pow N 8)))) (cbrt (+ (* N N) N))))) * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (- (+ (pow (pow N 4) 1/3) (* 2/3 (pow N 1/3))) (* 1/9 (pow (/ 1 (pow N 2)) 1/3))) (cbrt (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (atan2 1 (+ 1 (* (cbrt (+ (* N N) N)) (- (+ (* 2/3 (cbrt N)) (cbrt (pow N 4))) (* 1/9 (cbrt (/ 1 (* N N)))))))) * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 (+ 1 0) (+ 1 (* (- (+ (pow (pow N 4) 1/3) (* 2/3 (pow N 1/3))) (* 1/9 (pow (/ 1 (pow N 2)) 1/3))) (cbrt (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (atan2 1 (+ 1 (* (cbrt (+ (* N N) N)) (- (+ (* 2/3 (cbrt N)) (cbrt (pow N 4))) (* 1/9 (cbrt (/ 1 (* N N)))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* N N) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* N N) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* N N) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* N N) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N)))))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* N N) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* N N) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* N N) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* N N) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N)))))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* N N) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* N N) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* N N) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* N N) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* N N) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* N N) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* N N) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* N N) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]approximate: Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N))))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]approximate: Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]backup-simplify: Simplify (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ 1 (+ (* N N) N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* N N) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* N N) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* N N) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* N N) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) 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 (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* (/ 1 N) (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 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 (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N))))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]backup-simplify: Simplify (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 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 (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * * * * [misc]progress: [ 4 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * * * * [misc]progress: [ 5 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) * [enter]simplify: Simplifying (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * * * * [misc]progress: [ 6 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (* (atan2 1 (+ 1 (+ N (* N N)))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (* (atan2 1 (+ 1 (+ N (* N N)))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * * * * [misc]progress: [ 7 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (+ (* N N) N)))) (cbrt (atan2 1 (+ 1 (+ (* N N) N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ 1 (+ N (* N N)))))) * [enter]simplify: Simplifying (sqrt (cbrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ 1 (+ N (* N N)))))) * * * * [misc]progress: [ 8 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * * * * [misc]progress: [ 9 / 73 ] 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 (+ 1 (+ (* N N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ 1 (* N N)) N))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ 1 (* N N)) N))) * * * * [misc]progress: [ 10 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * * * * [misc]progress: [ 11 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * * * * [misc]progress: [ 16 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * * * * [misc]progress: [ 17 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) * [enter]simplify: Simplifying (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * * * * [misc]progress: [ 18 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (* (atan2 1 (+ 1 (+ N (* N N)))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (* (atan2 1 (+ 1 (+ N (* N N)))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * * * * [misc]progress: [ 19 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (+ (* N N) N)))) (cbrt (atan2 1 (+ 1 (+ (* N N) N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ 1 (+ N (* N N)))))) * [enter]simplify: Simplifying (sqrt (cbrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ 1 (+ N (* N N)))))) * * * * [misc]progress: [ 20 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * * * * [misc]progress: [ 21 / 73 ] 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 (+ 1 (+ (* N N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ 1 (* N N)) N))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ 1 (* N N)) N))) * * * * [misc]progress: [ 22 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * * * * [misc]progress: [ 23 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/2 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1/2 1/2) * [exit]simplify: Simplified to (+ 1/2 1/2) * * * * [misc]progress: [ 26 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 27 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 1 (+ 1 (+ (* N N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (atan2 1 (+ (+ 1 (* N N)) N)) (atan2 1 (+ (+ 1 (* N N)) N))) * [exit]simplify: Simplified to (* (atan2 1 (+ (+ 1 (* N N)) N)) (atan2 1 (+ (+ 1 (* N N)) N))) * * * * [misc]progress: [ 28 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (atan2 1 (+ 1 (+ (* N N) N))) * [exit]simplify: Simplified to (atan2 1 (+ 1 (+ (* N N) N))) * * * * [misc]progress: [ 29 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 31 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (log (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (log (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) * [exit]simplify: Simplified to (+ (log (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (log (sqrt (atan2 1 (+ 1 (+ N (* N N))))))) * * * * [misc]progress: [ 33 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (log (atan2 1 (+ 1 (+ N (* N N))))) * [exit]simplify: Simplified to (log (atan2 1 (+ 1 (+ N (* N N))))) * * * * [misc]progress: [ 34 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (exp (atan2 1 (+ 1 (+ N (* N N))))) * [exit]simplify: Simplified to (exp (atan2 1 (+ 1 (+ N (* N N))))) * * * * [misc]progress: [ 35 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (* (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (pow (atan2 1 (+ 1 (+ N (* N N)))) 3) * [exit]simplify: Simplified to (pow (atan2 1 (+ 1 (+ N (* N N)))) 3) * * * * [misc]progress: [ 36 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) (cbrt (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (+ 1 (+ (* N N) N)))) (cbrt (atan2 1 (+ 1 (+ (* N N) N))))) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (+ 1 (+ (* N N) N)))) (cbrt (atan2 1 (+ 1 (+ (* N N) N))))) * [enter]simplify: Simplifying (cbrt (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ 1 (+ N (* N N))))) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ 1 (+ N (* N N))))) * * * * [misc]progress: [ 37 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (pow (atan2 1 (+ 1 (+ N (* N N)))) 3) * [exit]simplify: Simplified to (pow (atan2 1 (+ 1 (+ N (* N N)))) 3) * * * * [misc]progress: [ 38 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 1 (+ 1 (+ (* N N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (atan2 1 (+ (+ 1 (* N N)) N)) (atan2 1 (+ (+ 1 (* N N)) N))) * [exit]simplify: Simplified to (* (atan2 1 (+ (+ 1 (* N N)) N)) (atan2 1 (+ (+ 1 (* N N)) N))) * * * * [misc]progress: [ 39 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) * [enter]simplify: Simplifying (sqrt (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) * * * * [misc]progress: [ 40 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) * * * * [misc]progress: [ 43 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (* (cbrt (atan2 1 (+ 1 (+ (* N N) N)))) (cbrt (atan2 1 (+ 1 (+ (* N N) N))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (fabs (cbrt (atan2 1 (+ 1 (+ N (* N N))))))) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (+ 1 (+ N (* N N))))) (fabs (cbrt (atan2 1 (+ 1 (+ N (* N N))))))) * * * * [misc]progress: [ 44 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * * * * [misc]progress: [ 45 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * * * * [misc]progress: [ 46 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * * * * [misc]progress: [ 47 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) * * * * [misc]progress: [ 48 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * * * * [misc]progress: [ 49 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (cbrt (atan2 1 (+ 1 (+ (* N N) N)))))) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (cbrt (atan2 1 (+ 1 (+ (* N N) N)))))) * * * * [misc]progress: [ 50 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * * * * [misc]progress: [ 51 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (atan2 1 (+ 1 (+ (* N N) N))) * [exit]simplify: Simplified to (atan2 1 (+ 1 (+ (* N N) N))) * * * * [misc]progress: [ 52 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) (sqrt (atan2 1 (+ 1 (+ N (* N N)))))) * * * * [misc]progress: [ 53 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (atan2 1 (+ 1 (+ (* N N) N))) * [exit]simplify: Simplified to (atan2 1 (+ 1 (+ (* N N) N))) * * * * [misc]progress: [ 54 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 1 (+ 1 (+ (* N N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (log (atan2 1 (+ (+ 1 (* N N)) N))) * [exit]simplify: Simplified to (log (atan2 1 (+ (+ 1 (* N N)) N))) * * * * [misc]progress: [ 57 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 1 (+ 1 (+ (* N N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (exp (atan2 1 (+ (+ 1 (* N N)) N))) * [exit]simplify: Simplified to (exp (atan2 1 (+ (+ 1 (* N N)) N))) * * * * [misc]progress: [ 58 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan2 1 (+ 1 (+ (* N N) N)))) (cbrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (+ 1 (+ N (* N N))))) (cbrt (atan2 1 (+ 1 (+ N (* N N)))))) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (+ 1 (+ N (* N N))))) (cbrt (atan2 1 (+ 1 (+ N (* N N)))))) * [enter]simplify: Simplifying (cbrt (atan2 1 (+ 1 (+ (* N N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (+ 1 (* N N)) N))) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (+ 1 (* N N)) N))) * * * * [misc]progress: [ 59 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 1 (+ 1 (+ (* N N) N)))) (atan2 1 (+ 1 (+ (* N N) N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (pow (atan2 1 (+ 1 (+ (* N N) N))) 3) * [exit]simplify: Simplified to (pow (atan2 1 (+ 1 (+ (* N N) N))) 3) * * * * [misc]progress: [ 60 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ 1 (* N N)) N))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ 1 (* N N)) N))) * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ 1 (* N N)) N))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ 1 (* N N)) N))) * * * * [misc]progress: [ 61 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ (* N N) N) 1)) * * * * [misc]progress: [ 63 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ (* N N) N) 1)) * * * * [misc]progress: [ 64 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ (* N N) N) 1)) * * * * [misc]progress: [ 65 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ (* N N) N) 1)) * * * * [misc]progress: [ 66 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ (* N N) N) 1)) * * * * [misc]progress: [ 67 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (+ (* N N) N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ (* N N) N) 1)) * * * * [misc]progress: [ 68 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (+ (pow N 2) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 69 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (+ (pow N 2) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 70 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (+ (pow N 2) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 71 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ (* N N) N) 1)) * * * * [misc]progress: [ 72 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ (* N N) N) 1)) * * * * [misc]progress: [ 73 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (+ (* N N) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ (* N N) N) 1)) * * * [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 (- (atan (+ N 1)) (atan N)) +inf.0)) , with alts (#)