* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [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 (11 enodes) * * [misc]simplify: iters left: 3 (12 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 (+ 1 N)) (atan N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ 1 N)) (atan N)) in N * [misc]taylor: Taking taylor expansion of (atan (+ 1 N)) in N * [misc]backup-simplify: Simplify (atan (+ 1 N)) into (atan (+ N 1)) * [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 (+ 1 N)) (atan N)) in N * [misc]taylor: Taking taylor expansion of (atan (+ 1 N)) in N * [misc]backup-simplify: Simplify (atan (+ 1 N)) into (atan (+ N 1)) * [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 (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) * [misc]backup-simplify: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (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 (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) * [misc]approximate: Taking taylor expansion of (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (atan (+ 1 (/ 1 N))) in N * [misc]backup-simplify: Simplify (atan (+ 1 (/ 1 N))) into (atan (+ (/ 1 N) 1)) * [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 (/ 1 N))) (atan (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (atan (+ 1 (/ 1 N))) in N * [misc]backup-simplify: Simplify (atan (+ 1 (/ 1 N))) into (atan (+ (/ 1 N) 1)) * [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 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) * [misc]backup-simplify: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) * [misc]approximate: Taking taylor expansion of (- (atan (+ 1 (/ 1 (- N)))) (atan (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ 1 (/ 1 (- N)))) (atan (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (atan (+ 1 (/ 1 (- N)))) in N * [misc]backup-simplify: Simplify (atan (+ 1 (/ 1 (- N)))) 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 (/ 1 (- N)))) (atan (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (atan (+ 1 (/ 1 (- N)))) in N * [misc]backup-simplify: Simplify (atan (+ 1 (/ 1 (- N)))) 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 (+ N 1)) (atan N)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (atan (+ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (+ 1 N)) in N * [misc]backup-simplify: Simplify (atan (+ 1 N)) into (atan (+ N 1)) * [misc]taylor: Taking taylor expansion of (atan (+ 1 N)) in N * [misc]backup-simplify: Simplify (atan (+ 1 N)) into (atan (+ N 1)) * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) * [misc]approximate: Taking taylor expansion of (atan (+ 1 (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (+ 1 (/ 1 N))) in N * [misc]backup-simplify: Simplify (atan (+ 1 (/ 1 N))) into (atan (+ (/ 1 N) 1)) * [misc]taylor: Taking taylor expansion of (atan (+ 1 (/ 1 N))) in N * [misc]backup-simplify: Simplify (atan (+ 1 (/ 1 N))) into (atan (+ (/ 1 N) 1)) * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) * [misc]approximate: Taking taylor expansion of (atan (+ 1 (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (+ 1 (/ 1 (- N)))) in N * [misc]backup-simplify: Simplify (atan (+ 1 (/ 1 (- N)))) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (+ 1 (/ 1 (- N)))) in N * [misc]backup-simplify: Simplify (atan (+ 1 (/ 1 (- N)))) 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 (+ N 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 N) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (N) (atan2 1 (+ 1 (* (+ 1 N) N)))) * [enter]simplify: Simplifying (+ 1 (* (+ 1 N) N)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (+ (+ N 1) (* N N)) * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ N 1) (* N N)))) * * * * [misc]progress: [ 2 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (atan (+ 1 N))) (exp (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (exp (- (atan (+ N 1)) (atan N))) * [misc]simplify: Simplified (2 1) to (λ (N) (log (exp (- (atan (+ N 1)) (atan N))))) * * * * [misc]progress: [ 3 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (sqrt (atan N)) (sqrt (atan (+ N 1)))) * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (sqrt (atan N)) (sqrt (atan (+ N 1)))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N))))) * [enter]simplify: Simplifying (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (sqrt (atan (+ N 1))) (sqrt (atan N))) * [misc]simplify: Simplified (2 2) to (λ (N) (* (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N))))) * * * * [misc]progress: [ 14 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ 1 N)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (atan (+ N 1)) (atan N)))) * * * * [misc]progress: [ 15 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [misc]simplify: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 24 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [misc]simplify: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 25 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [misc]simplify: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 26 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (atan (+ 1 N)) * [misc]simplify: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 27 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (atan (+ 1 N)) * [misc]simplify: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 28 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (atan (+ 1 N)) * [misc]simplify: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (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 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 N) N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 N) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ 1 N) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 N) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ 1 N) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 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 (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (* (+ 1 N) N) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (+ 1 N) N) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [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 in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 N) N) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [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 in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 1) 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 (+ N (pow N 2)) * [misc]approximate: Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [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) 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 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [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) 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 (+ 0 1) 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 (+ 1 0) 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 (+ N (pow N 2)) * [misc]approximate: Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [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)) 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 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [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)) 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 (+ 0 -1) 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 (+ 1 0) 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 (+ N (pow N 2)) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (+ 1 (* (+ 1 N) N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ 1 N) N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 N) N) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [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 in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ 1 N) N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 N) N) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [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 in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1)) * [misc]approximate: Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [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) 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 (* (+ 1 (/ 1 N)) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [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) 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1)) * [misc]approximate: Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [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)) 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 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [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)) 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 -1)) into -1 * [misc]backup-simplify: Simplify (+ 0 -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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (+ N 1)) (cbrt (+ N 1))) * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ 1 N)) N))))) * * * * [misc]progress: [ 16 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ N 1)) * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (sqrt (+ N 1)) (* (sqrt (+ 1 N)) N))))) * * * * [misc]progress: [ 17 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow 1 3) (pow N 3)) N) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (+ (* (* N N) (* N N)) N) * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (/ (+ (* (* N N) (* N N)) N) (+ (* 1 1) (- (* N N) (* 1 N))))))) * * * * [misc]progress: [ 19 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 1 1) (* N N)) N) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (- N (pow N 3)) * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (/ (- N (pow N 3)) (- 1 N))))) * * * * [misc]progress: [ 20 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) * * * * [misc]progress: [ 32 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) * * * * [misc]progress: [ 33 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) * * * * [misc]progress: [ 34 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (+ N (pow N 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (+ N (* N N)) * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N))))) * * * * [misc]progress: [ 35 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (+ N (pow N 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (+ N (* N N)) * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N))))) * * * * [misc]progress: [ 36 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (+ N (pow N 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (+ N (* N N)) * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N))))) * * * * [misc]progress: [ 37 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (+ N (+ (pow N 2) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (+ (+ 1 N) (* N N)) * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ 1 N) (* N N)))) * * * * [misc]progress: [ 38 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (+ N (+ (pow N 2) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (+ (+ 1 N) (* N N)) * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ 1 N) (* N N)))) * * * * [misc]progress: [ 39 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (+ N (+ (pow N 2) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (+ (+ 1 N) (* N N)) * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ 1 N) (* N 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 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 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 (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ N (+ (pow N 2) 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 (+ (pow N 2) 1) in N * [misc]taylor: Taking taylor expansion of (pow N 2) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ N (+ (pow N 2) 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 (+ (pow N 2) 1) in N * [misc]taylor: Taking taylor expansion of (pow N 2) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1)) * [misc]approximate: Taking taylor expansion of (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) (+ (pow (/ 1 N) 2) 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 (+ (pow (/ 1 N) 2) 1) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 2) in N * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 2 in N * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 2 (- (log N))) into (* -2 (log N)) * [misc]backup-simplify: Simplify (exp (* -2 (log N))) into (pow N -2) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) (+ (pow (/ 1 N) 2) 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 (+ (pow (/ 1 N) 2) 1) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 2) in N * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 2 in N * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 2 (- (log N))) into (* -2 (log N)) * [misc]backup-simplify: Simplify (exp (* -2 (log N))) into (pow N -2) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (pow N -2) 1) into (+ (pow N -2) 1) * [misc]backup-simplify: Simplify (+ 0 (+ (pow N -2) 1)) into (+ (pow N -2) 1) * [misc]backup-simplify: Simplify (+ (pow N -2) 1) into (+ (pow N -2) 1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (+ (pow (/ 1 N) -2) 1) (* 1 (/ 1 (/ 1 N)))) into (+ N (+ (pow (/ 1 N) -2) 1)) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 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 (+ (pow (/ 1 (- N)) 2) 1) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 2) in N * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 2 in N * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) 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]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log N))) into (* 2 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log N)))) into (exp (* 2 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 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 (+ (pow (/ 1 (- N)) 2) 1) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 2) in N * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 2 in N * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) 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]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log N))) into (* 2 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log N)))) into (exp (* 2 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) 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 (+ (exp (* 2 (- (log -1) (log N)))) 1) into (+ 1 (exp (* 2 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ 0 (+ 1 (exp (* 2 (- (log -1) (log N)))))) into (+ 1 (exp (* 2 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log -1) (log N))))) into (+ 1 (exp (* 2 (- (log -1) (log 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 (/ 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log N)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log N)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log N)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log N)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log N)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (+ 1 (exp (* 2 (- (log -1) (log (/ 1 (- N))))))) (* -1 (/ 1 (/ 1 (- N))))) into (+ N (+ 1 (exp (* 2 (- (log -1) (log (/ -1 N))))))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (+ (pow N 2) 1) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (pow N 2) 1) in N * [misc]taylor: Taking taylor expansion of (pow N 2) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow N 2) 1) in N * [misc]taylor: Taking taylor expansion of (pow N 2) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 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 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 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 (+ (* 1 (pow N 2)) 1) into (+ (pow N 2) 1) * [misc]approximate: Taking taylor expansion of (+ (pow (/ 1 N) 2) 1) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 N) 2) 1) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 2) in N * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 2 in N * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 2 (- (log N))) into (* -2 (log N)) * [misc]backup-simplify: Simplify (exp (* -2 (log N))) into (pow N -2) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 N) 2) 1) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 N) 2) in N * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 2 in N * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 2 (- (log N))) into (* -2 (log N)) * [misc]backup-simplify: Simplify (exp (* -2 (log N))) into (pow N -2) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (pow N -2) 1) into (+ (pow N -2) 1) * [misc]backup-simplify: Simplify (+ (pow N -2) 1) into (+ (pow N -2) 1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -2 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (pow (/ 1 N) -2) 1) into (+ (pow (/ 1 N) -2) 1) * [misc]approximate: Taking taylor expansion of (+ (pow (/ 1 (- N)) 2) 1) in (N) around 0 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- N)) 2) 1) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 2) in N * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 2 in N * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) 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]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log N))) into (* 2 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log N)))) into (exp (* 2 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- N)) 2) 1) in N * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- N)) 2) in N * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* 2 (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 2 in N * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) 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]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 2 (- (log -1) (log N))) into (* 2 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 2 (- (log -1) (log N)))) into (exp (* 2 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (exp (* 2 (- (log -1) (log N)))) 1) into (+ 1 (exp (* 2 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log -1) (log N))))) into (+ 1 (exp (* 2 (- (log -1) (log N))))) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log N)))) (+ (* (/ (pow 0 1) 1)))) 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 (- 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log N)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (- 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log N)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 (- 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log N)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log N)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (- (log -1) (log N)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (exp (* 2 (- (log -1) (log (/ 1 (- N))))))) into (+ 1 (exp (* 2 (- (log -1) (log (/ -1 N)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) * * * * [misc]progress: [ 30 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) * * * * [misc]progress: [ 31 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) * * * * [misc]progress: [ 32 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (+ N (+ (pow N 2) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (+ (+ 1 N) (* N N)) * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ 1 N) (* N N)))) * * * * [misc]progress: [ 33 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (+ N (+ (pow (/ 1 N) -2) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (+ (pow (/ 1 N) -2) (+ 1 N)) * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (pow (/ 1 N) -2) (+ 1 N)))) * * * * [misc]progress: [ 34 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (+ N (+ 1 (exp (* 2 (- (log -1) (log (/ -1 N))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (308 enodes) * [exit]simplify: Simplified to (+ (* N N) (+ 1 N)) * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (* N N) (+ 1 N)))) * * * * [misc]progress: [ 35 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow N 2) 1) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (+ 1 (* N N)) * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (+ N (+ 1 (* N N))))) * * * * [misc]progress: [ 36 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (/ 1 N) -2) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (+ 1 (pow (/ 1 N) -2)) * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (+ N (+ 1 (pow (/ 1 N) -2))))) * * * * [misc]progress: [ 37 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (exp (* 2 (- (log -1) (log (/ -1 N)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (+ 1 (* N N)) * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (+ N (+ 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 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 N) N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 N) N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ 1 N) N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 N) N) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [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 in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 N) N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ 1 N) N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 N) N) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [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 in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 1/2 2) (+)) (* 2 1)) into 3/8 * [misc]backup-simplify: Simplify 3/8 into 3/8 * [misc]backup-simplify: Simplify (+ (* 3/8 (pow N 2)) (+ (* 1/2 N) 1)) into (+ (* 1/2 N) (+ (* 3/8 (pow N 2)) 1)) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [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) 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [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) 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 1/2 2) (+)) (* 2 1)) into 3/8 * [misc]backup-simplify: Simplify 3/8 into 3/8 * [misc]backup-simplify: Simplify (+ (* 3/8 (/ 1 N)) (+ 1/2 (* 1 (/ 1 (/ 1 N))))) into (+ (* 3/8 (/ 1 N)) (+ N 1/2)) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [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)) 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 -1)) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [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)) 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 -1)) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [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 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow -1/2 2) (+)) (* 2 1)) into 3/8 * [misc]backup-simplify: Simplify 3/8 into 3/8 * [misc]backup-simplify: Simplify (+ (* 3/8 (/ 1 (- N))) (+ -1/2 (* 1 (/ 1 (/ 1 (- N)))))) into (- (+ (* 3/8 (/ 1 N)) (+ N 1/2))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 N) N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 N) N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ 1 N) N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 N) N) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [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 in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 N) N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ 1 N) N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 N) N) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [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 in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 1/2 2) (+)) (* 2 1)) into 3/8 * [misc]backup-simplify: Simplify 3/8 into 3/8 * [misc]backup-simplify: Simplify (+ (* 3/8 (pow N 2)) (+ (* 1/2 N) 1)) into (+ (* 1/2 N) (+ (* 3/8 (pow N 2)) 1)) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [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) 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [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) 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 1/2 2) (+)) (* 2 1)) into 3/8 * [misc]backup-simplify: Simplify 3/8 into 3/8 * [misc]backup-simplify: Simplify (+ (* 3/8 (/ 1 N)) (+ 1/2 (* 1 (/ 1 (/ 1 N))))) into (+ (* 3/8 (/ 1 N)) (+ N 1/2)) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [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)) 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 -1)) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [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)) 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 -1)) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [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 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow -1/2 2) (+)) (* 2 1)) into 3/8 * [misc]backup-simplify: Simplify 3/8 into 3/8 * [misc]backup-simplify: Simplify (+ (* 3/8 (/ 1 (- N))) (+ -1/2 (* 1 (/ 1 (/ 1 (- N)))))) into (- (+ (* 3/8 (/ 1 N)) (+ N 1/2))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) * [misc]taylor: Taking taylor expansion of (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) * [misc]approximate: Taking taylor expansion of (atan2 1 (* (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (* (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))))) in N * [misc]backup-simplify: Simplify (atan2 1 (* (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) * [misc]taylor: Taking taylor expansion of (atan2 1 (* (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))))) in N * [misc]backup-simplify: Simplify (atan2 1 (* (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) * [misc]approximate: Taking taylor expansion of (atan2 1 (* (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (* (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))))) in N * [misc]backup-simplify: Simplify (atan2 1 (* (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan2 1 (* (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))))) in N * [misc]backup-simplify: Simplify (atan2 1 (* (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 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 (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 N) N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ 1 N) N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 N) N) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [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 in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 N) N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ 1 N) N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 N) N) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [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 in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 N) N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ 1 N) N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 N) N) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [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 in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 N) N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ 1 N) N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 N) N) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [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 in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (* 1/2 1)) 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 1/2 2) (+)) (* 2 1)) into 3/8 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 1/2 2) (+)) (* 2 1)) into 3/8 * [misc]backup-simplify: Simplify (+ (* 1 3/8) (+ (* 1/2 1/2) (* 3/8 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1)) * [misc]approximate: Taking taylor expansion of (* (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [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) 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [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) 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [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) 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [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) 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (* 1/2 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 1/2 2) (+)) (* 2 1)) into 3/8 * [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 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 1/2 2) (+)) (* 2 1)) into 3/8 * [misc]backup-simplify: Simplify (+ (* 1 3/8) (+ (* 1/2 1/2) (* 3/8 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1)) * [misc]approximate: Taking taylor expansion of (* (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [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)) 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 -1)) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [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)) 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 -1)) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [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)) 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 -1)) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [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)) 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 -1)) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (* -1/2 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow -1/2 2) (+)) (* 2 1)) into 3/8 * [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 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow -1/2 2) (+)) (* 2 1)) into 3/8 * [misc]backup-simplify: Simplify (+ (* 1 3/8) (+ (* -1/2 -1/2) (* 3/8 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ 1 (* (+ 1 N) N))) (cbrt (+ 1 (* (+ 1 N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* N N) (+ N 1)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (* (fabs (cbrt (+ (* N N) (+ N 1)))) (sqrt (cbrt (+ 1 (* (+ 1 N) N)))))))) * * * * [misc]progress: [ 8 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (* (+ 1 N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (+ N 1) (* N N)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (* (sqrt (sqrt (+ (+ N 1) (* N N)))) (sqrt (sqrt (+ 1 (* (+ 1 N) N)))))))) * * * * [misc]progress: [ 9 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (* (sqrt 1) (sqrt (+ 1 (* (+ 1 N) N))))))) * * * * [misc]progress: [ 10 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow 1 3) (pow (* (+ 1 N) N) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (+ (* N N) N) 3))) * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (/ (sqrt (+ 1 (pow (+ (* N N) N) 3))) (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N))))))))) * * * * [misc]progress: [ 11 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (* (+ 1 N) N) (* (+ 1 N) N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (493 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (+ (* N N) N) (+ (* N N) N)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (/ (sqrt (- 1 (* (+ (* N N) N) (+ (* N N) N)))) (sqrt (- 1 (* (+ 1 N) N))))))) * * * * [misc]progress: [ 12 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (* (+ 1 N) N))) * * [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 (28 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ N 1) (* N N))) * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (fabs (sqrt (+ (+ N 1) (* N N))))))) * * * * [misc]progress: [ 14 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ 1 (* (+ 1 N) N))) (cbrt (+ 1 (* (+ 1 N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* N N) (+ N 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (fabs (cbrt (+ (* N N) (+ N 1)))) (sqrt (cbrt (+ 1 (* (+ 1 N) N))))) (sqrt (+ 1 (* (+ 1 N) N)))))) * * * * [misc]progress: [ 22 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (* (+ 1 N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (+ N 1) (* N N)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (sqrt (sqrt (+ (+ N 1) (* N N)))) (sqrt (sqrt (+ 1 (* (+ 1 N) N))))) (sqrt (+ 1 (* (+ 1 N) N)))))) * * * * [misc]progress: [ 23 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (sqrt 1) (sqrt (+ 1 (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N)))))) * * * * [misc]progress: [ 24 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow 1 3) (pow (* (+ 1 N) N) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow (+ (* N N) N) 3))) * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (/ (sqrt (+ 1 (pow (+ (* N N) N) 3))) (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N)))))) (sqrt (+ 1 (* (+ 1 N) N)))))) * * * * [misc]progress: [ 25 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (* (+ 1 N) N) (* (+ 1 N) N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (493 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (+ (* N N) N) (+ (* N N) N)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (/ (sqrt (- 1 (* (+ (* N N) N) (+ (* N N) N)))) (sqrt (- 1 (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N)))))) * * * * [misc]progress: [ 26 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (* (+ 1 N) N))) * * [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 (28 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ N 1) (* N N))) * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (fabs (sqrt (+ (+ N 1) (* N N)))) (sqrt (+ 1 (* (+ 1 N) N)))))) * * * * [misc]progress: [ 28 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (* (+ 1 N) N)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (+ (+ N 1) (* N N)) * [misc]simplify: Simplified (2 2 1) to (λ (N) (atan2 1 (pow (+ (+ N 1) (* N N)) (+ 1/2 1/2)))) * [enter]simplify: Simplifying (+ 1/2 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ 1/2 1/2) * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (pow (+ 1 (* (+ 1 N) N)) (+ 1/2 1/2)))) * * * * [misc]progress: [ 37 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (* (+ 1 N) N))) * * [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 (28 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ N 1) (* N N))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (atan2 1 (pow (sqrt (+ (+ N 1) (* N N))) (+ 1 1)))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (pow (sqrt (+ 1 (* (+ 1 N) N))) (+ 1 1)))) * * * * [misc]progress: [ 38 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 (* (+ 1 N) N)) (+ 1 (* (+ 1 N) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (468 enodes) * [exit]simplify: Simplified to (* (+ (+ N 1) (* N N)) (+ (+ N 1) (* N N))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (atan2 1 (pow (* (+ (+ N 1) (* N N)) (+ (+ N 1) (* N N))) 1/2))) * * * * [misc]progress: [ 39 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (+ (* N N) (+ N 1)) * [misc]simplify: Simplified (2 2 1) to (λ (N) (atan2 1 (pow (+ (* N N) (+ N 1)) 1))) * * * * [misc]progress: [ 40 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (* (+ 1 N) N))) * * [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 (28 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ N 1) (* N N))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (atan2 1 (pow (sqrt (+ (+ N 1) (* N N))) (+ 1 1)))) * * * * [misc]progress: [ 42 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (+ 1 (* (+ 1 N) N)))) (log (sqrt (+ 1 (* (+ 1 N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ (* N N) (+ N 1)))) (log (sqrt (+ (* N N) (+ N 1))))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (atan2 1 (exp (+ (log (sqrt (+ (* N N) (+ N 1)))) (log (sqrt (+ (* N N) (+ N 1)))))))) * * * * [misc]progress: [ 44 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N)))) (* (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (493 enodes) * [exit]simplify: Simplified to (pow (+ (* N N) (+ N 1)) 3) * [misc]simplify: Simplified (2 2 1) to (λ (N) (atan2 1 (cbrt (pow (+ (* N N) (+ N 1)) 3)))) * * * * [misc]progress: [ 47 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 (* (+ 1 N) N)) (+ 1 (* (+ 1 N) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (468 enodes) * [exit]simplify: Simplified to (* (+ (+ N 1) (* N N)) (+ (+ N 1) (* N N))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (atan2 1 (sqrt (* (+ (+ N 1) (* N N)) (+ (+ N 1) (* N N)))))) * * * * [misc]progress: [ 50 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 N) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (+ N (* N N)) * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N))))) * * * * [misc]progress: [ 52 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow 1 3) (pow (* (+ 1 N) N) 3))) (sqrt (+ (pow 1 3) (pow (* (+ 1 N) N) 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * [exit]simplify: Simplified to (+ 1 (pow (+ N (* N N)) 3)) * [misc]simplify: Simplified (2 2 1) to (λ (N) (atan2 1 (/ (+ 1 (pow (+ N (* N N)) 3)) (* (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N))))) (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N))))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N))))) (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (332 enodes) * [exit]simplify: Simplified to (+ (- 1 (+ (* N N) N)) (* (+ (* N N) N) (+ (* N N) N))) * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (/ (+ 1 (pow (+ N (* N N)) 3)) (+ (- 1 (+ (* N N) N)) (* (+ (* N N) N) (+ (* N N) N)))))) * * * * [misc]progress: [ 53 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow 1 3) (pow (* (+ 1 N) N) 3))) (sqrt (- (* 1 1) (* (* (+ 1 N) N) (* (+ 1 N) N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (270 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (+ N (* N N)) (+ N (* N N))))) (sqrt (+ 1 (pow (+ N (* N N)) 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (atan2 1 (/ (* (sqrt (- 1 (* (+ N (* N N)) (+ N (* N N))))) (sqrt (+ 1 (pow (+ N (* N N)) 3)))) (* (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N))))) (sqrt (- 1 (* (+ 1 N) N))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N))))) (sqrt (- 1 (* (+ 1 N) N)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (261 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (+ (* N N) N))) (sqrt (+ (- 1 (+ (* N N) N)) (* (+ (* N N) N) (+ (* N N) N))))) * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (/ (* (sqrt (- 1 (* (+ N (* N N)) (+ N (* N N))))) (sqrt (+ 1 (pow (+ N (* N N)) 3)))) (* (sqrt (- 1 (+ (* N N) N))) (sqrt (+ (- 1 (+ (* N N) N)) (* (+ (* N N) N) (+ (* N N) N)))))))) * * * * [misc]progress: [ 54 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (* 1 1) (* (* (+ 1 N) N) (* (+ 1 N) N)))) (sqrt (+ (pow 1 3) (pow (* (+ 1 N) N) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (270 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (pow (+ N (* N N)) 3) 1)) (sqrt (- 1 (* (+ N (* N N)) (+ N (* N N)))))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (atan2 1 (/ (* (sqrt (+ (pow (+ N (* N N)) 3) 1)) (sqrt (- 1 (* (+ N (* N N)) (+ N (* N N)))))) (* (sqrt (- 1 (* (+ 1 N) N))) (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N))))))))) * [enter]simplify: Simplifying (* (sqrt (- 1 (* (+ 1 N) N))) (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (328 enodes) * [exit]simplify: Simplified to (* (sqrt (- (- 1 N) (* N N))) (sqrt (+ (* (+ (* N N) N) (+ (* N N) N)) (- (- 1 N) (* N N))))) * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (/ (* (sqrt (+ (pow (+ N (* N N)) 3) 1)) (sqrt (- 1 (* (+ N (* N N)) (+ N (* N N)))))) (* (sqrt (- (- 1 N) (* N N))) (sqrt (+ (* (+ (* N N) N) (+ (* N N) N)) (- (- 1 N) (* N N)))))))) * * * * [misc]progress: [ 55 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (* 1 1) (* (* (+ 1 N) N) (* (+ 1 N) N)))) (sqrt (- (* 1 1) (* (* (+ 1 N) N) (* (+ 1 N) N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (466 enodes) * [exit]simplify: Simplified to (- 1 (* (+ N (* N N)) (+ N (* N N)))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (atan2 1 (/ (- 1 (* (+ N (* N N)) (+ N (* N N)))) (* (sqrt (- 1 (* (+ 1 N) N))) (sqrt (- 1 (* (+ 1 N) N))))))) * [enter]simplify: Simplifying (* (sqrt (- 1 (* (+ 1 N) N))) (sqrt (- 1 (* (+ 1 N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (- (- 1 N) (* N N)) * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (/ (- 1 (* (+ N (* N N)) (+ N (* N N)))) (- (- 1 N) (* N N))))) * * * * [misc]progress: [ 56 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (* (+ 1 N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (+ N 1) (* N N)))) * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (* (* (sqrt (+ 1 (* (+ 1 N) N))) (* (cbrt (sqrt (+ 1 (* (+ 1 N) N)))) (cbrt (sqrt (+ 1 (* (+ 1 N) N)))))) (cbrt (sqrt (+ (+ N 1) (* N N))))))) * * * * [misc]progress: [ 58 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 (* (+ 1 N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (+ N 1) (* N N)))) * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (* (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (* (cbrt (+ 1 (* (+ 1 N) N))) (cbrt (+ 1 (* (+ 1 N) N)))))) (sqrt (cbrt (+ (+ N 1) (* N N))))))) * * * * [misc]progress: [ 59 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (* (+ 1 N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (+ N 1) (* N N)))) * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (* (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (sqrt (+ 1 (* (+ 1 N) N))))) (sqrt (sqrt (+ (+ N 1) (* N N))))))) * * * * [misc]progress: [ 60 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (* (+ 1 N) N))) * * [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 (28 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ N 1) (* N N))) * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (* (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt 1)) (sqrt (+ (+ N 1) (* N N)))))) * * * * [misc]progress: [ 61 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (* (+ 1 N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (+ N 1) (* N N)))) * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (* (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (sqrt (+ 1 (* (+ 1 N) N))))) (sqrt (sqrt (+ (+ N 1) (* N N))))))) * * * * [misc]progress: [ 62 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (* (+ 1 N) N))) * * [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 (28 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ N 1) (* N N))) * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (* (* (sqrt (+ 1 (* (+ 1 N) N))) 1) (sqrt (+ (+ N 1) (* N N)))))) * * * * [misc]progress: [ 63 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ 1 (* (+ 1 N) N)))) (cbrt (sqrt (+ 1 (* (+ 1 N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* N N) (+ N 1)))) (cbrt (sqrt (+ (* N N) (+ N 1))))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (atan2 1 (* (* (cbrt (sqrt (+ (* N N) (+ N 1)))) (cbrt (sqrt (+ (* N N) (+ N 1))))) (* (cbrt (sqrt (+ 1 (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N))))))) * * * * [misc]progress: [ 64 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ 1 (* (+ 1 N) N))) (cbrt (+ 1 (* (+ 1 N) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* N N) (+ N 1)))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (atan2 1 (* (fabs (cbrt (+ (* N N) (+ N 1)))) (* (sqrt (cbrt (+ 1 (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N))))))) * * * * [misc]progress: [ 65 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (* (+ 1 N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (+ N 1) (* N N)))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (atan2 1 (* (sqrt (sqrt (+ (+ N 1) (* N N)))) (* (sqrt (sqrt (+ 1 (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N))))))) * * * * [misc]progress: [ 66 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1) to (λ (N) (atan2 1 (* (sqrt 1) (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ 1 (* (+ 1 N) N))))))) * * * * [misc]progress: [ 67 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (* (+ 1 N) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (+ N 1) (* N N)))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (atan2 1 (* (sqrt (sqrt (+ (+ N 1) (* N N)))) (* (sqrt (sqrt (+ 1 (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N))))))) * * * * [misc]progress: [ 68 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (258 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (+ N (* N N)) (+ N (* N N))) (- (- 1 N) (* N N)))) * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (/ (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (+ (pow 1 3) (pow (* (+ 1 N) N) 3)))) (sqrt (+ (* (+ N (* N N)) (+ N (* N N))) (- (- 1 N) (* N N))))))) * * * * [misc]progress: [ 70 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* (+ 1 N) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (sqrt (- (- 1 N) (* N N))) * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (/ (* (sqrt (+ 1 (* (+ 1 N) N))) (sqrt (- (* 1 1) (* (* (+ 1 N) N) (* (+ 1 N) N))))) (sqrt (- (- 1 N) (* N N)))))) * * * * [misc]progress: [ 71 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow 1 3) (pow (* (+ 1 N) N) 3))) (sqrt (+ 1 (* (+ 1 N) N)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (pow (+ (* N N) N) 3))) (sqrt (+ (+ N 1) (* N N)))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (atan2 1 (/ (* (sqrt (+ 1 (pow (+ (* N N) N) 3))) (sqrt (+ (+ N 1) (* N N)))) (sqrt (+ (* 1 1) (- (* (* (+ 1 N) N) (* (+ 1 N) N)) (* 1 (* (+ 1 N) N)))))))) * * * * [misc]progress: [ 72 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (* 1 1) (* (* (+ 1 N) N) (* (+ 1 N) N)))) (sqrt (+ 1 (* (+ 1 N) N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* N N) (+ 1 N))) (sqrt (- 1 (* (+ N (* N N)) (+ N (* N N)))))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (atan2 1 (/ (* (sqrt (+ (* N N) (+ 1 N))) (sqrt (- 1 (* (+ N (* N N)) (+ N (* N N)))))) (sqrt (- 1 (* (+ 1 N) N)))))) * * * * [misc]progress: [ 73 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 N) (+ (* 3/8 (pow N 2)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (+ (+ 1 (* 1/2 N)) (* 3/8 (* N N))) * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (+ (+ 1 (* 1/2 N)) (* 3/8 (* N N)))))) * * * * [misc]progress: [ 75 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3/8 (/ 1 N)) (+ N 1/2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (+ (+ 1/2 N) (/ 3/8 N)) * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (+ (+ 1/2 N) (/ 3/8 N))))) * * * * [misc]progress: [ 76 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3/8 (/ 1 N)) (+ N 1/2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (- (- N) (+ 1/2 (/ 3/8 N))) * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (* (sqrt (+ 1 (* (+ 1 N) N))) (- (- N) (+ 1/2 (/ 3/8 N)))))) * * * * [misc]progress: [ 77 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 N) (+ (* 3/8 (pow N 2)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (+ (+ 1 (* 1/2 N)) (* 3/8 (* N N))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (atan2 1 (* (+ (+ 1 (* 1/2 N)) (* 3/8 (* N N))) (sqrt (+ 1 (* (+ 1 N) N)))))) * * * * [misc]progress: [ 78 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 3/8 (/ 1 N)) (+ N 1/2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (+ (+ 1/2 N) (/ 3/8 N)) * [misc]simplify: Simplified (2 2 1) to (λ (N) (atan2 1 (* (+ (+ 1/2 N) (/ 3/8 N)) (sqrt (+ 1 (* (+ 1 N) N)))))) * * * * [misc]progress: [ 79 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3/8 (/ 1 N)) (+ N 1/2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (- (- N) (+ 1/2 (/ 3/8 N))) * [misc]simplify: Simplified (2 2 1) to (λ (N) (atan2 1 (* (- (- N) (+ 1/2 (/ 3/8 N))) (sqrt (+ 1 (* (+ 1 N) N)))))) * * * * [misc]progress: [ 80 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) * * * * [misc]progress: [ 81 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) * * * * [misc]progress: [ 82 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) * * * * [misc]progress: [ 83 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (+ N (+ (pow N 2) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (+ (+ 1 N) (* N N)) * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ 1 N) (* N N)))) * * * * [misc]progress: [ 84 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (+ N (+ (pow N 2) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (+ (+ 1 N) (* N N)) * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ 1 N) (* N N)))) * * * * [misc]progress: [ 85 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (+ N (+ (pow N 2) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (+ (+ 1 N) (* N N)) * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ 1 N) (* N N)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # #) * * * [misc]regime-changes: Trying 1 branch expressions: (N) * * * * [misc]regimes: Trying to branch on N from (# # # # #) * * * [misc]regime: Found split indices: #