1539417996.763 * [misc]progress: [Phase 1 of 3] Setting up. 1539417996.763 * * * [misc]progress: [1/2] Preparing points 1539417996.763 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1539417996.765 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision 1539417996.766 * * * * [misc]points: Setting MPFR precision to 64 1539417996.767 * * * * [misc]points: Setting MPFR precision to 320 1539417996.767 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision 1539417996.769 * * * * [misc]points: Setting MPFR precision to 64 1539417996.770 * * * * [misc]points: Setting MPFR precision to 320 1539417996.771 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision 1539417996.772 * * * * [misc]points: Setting MPFR precision to 64 1539417996.774 * * * * [misc]points: Setting MPFR precision to 320 1539417996.776 * * * * [misc]points: Setting MPFR precision to 576 1539417996.780 * * * * [misc]points: Setting MPFR precision to 832 1539417996.784 * * * * [misc]points: Setting MPFR precision to 1088 1539417996.790 * * * * [misc]points: Setting MPFR precision to 1344 1539417996.796 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision 1539417996.798 * * * * [misc]points: Setting MPFR precision to 1088 1539417996.803 * * * * [misc]points: Setting MPFR precision to 1344 1539417996.808 * * * * [misc]points: Computing exacts for 256 points 1539417996.816 * * * * [misc]points: Setting MPFR precision to 1088 1539417996.841 * * * * [misc]points: Setting MPFR precision to 1344 1539417996.872 * * * * [misc]points: Filtering points with unrepresentable outputs 1539417996.872 * * * * [exit]points: Sampled 256 points with exact outputs 1539417996.873 * * * [misc]progress: [2/2] Setting up program. 1539417996.877 * [misc]progress: [Phase 2 of 3] Improving. 1539417996.877 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1539417996.877 * * [misc]simplify: iters left: 5 (6 enodes) 1539417996.879 * * [misc]simplify: iters left: 4 (11 enodes) 1539417996.882 * * [misc]simplify: iters left: 3 (12 enodes) 1539417996.885 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1539417996.895 * * [misc]progress: iteration 1 / 4 1539417996.895 * * * [misc]progress: picking best candidate 1539417996.899 * * * * [misc]pick: Picked # 1539417996.899 * * * [misc]progress: localizing error 1539417996.942 * * * [misc]progress: generating rewritten candidates 1539417996.942 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) 1539417996.952 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) 1539417996.953 * * * [misc]progress: generating series expansions 1539417996.953 * * * * [misc]progress: [ 1 / 2 ] generating series at (2) 1539417996.953 * [misc]backup-simplify: Simplify (- (atan (+ 1 N)) (atan N)) into (- (atan (+ N 1)) (atan N)) 1539417996.953 * [misc]approximate: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 1539417996.953 * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 1539417996.953 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N 1539417996.954 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1539417996.954 * [misc]taylor: Taking taylor expansion of (atan N) in N 1539417996.954 * [misc]backup-simplify: Simplify (atan N) into (atan N) 1539417996.954 * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 1539417996.954 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N 1539417996.954 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1539417996.954 * [misc]taylor: Taking taylor expansion of (atan N) in N 1539417996.954 * [misc]backup-simplify: Simplify (atan N) into (atan N) 1539417996.954 * [misc]backup-simplify: Simplify (- (atan N)) into (- (atan N)) 1539417996.954 * [misc]backup-simplify: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 1539417996.954 * [misc]backup-simplify: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 1539417996.955 * [misc]backup-simplify: Simplify (- 0) into 0 1539417996.955 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417996.955 * [misc]backup-simplify: Simplify 0 into 0 1539417996.955 * [misc]backup-simplify: Simplify (- 0) into 0 1539417996.955 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417996.955 * [misc]backup-simplify: Simplify 0 into 0 1539417996.955 * [misc]backup-simplify: Simplify (- 0) into 0 1539417996.955 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417996.955 * [misc]backup-simplify: Simplify 0 into 0 1539417996.956 * [misc]backup-simplify: Simplify (- 0) into 0 1539417996.956 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417996.956 * [misc]backup-simplify: Simplify 0 into 0 1539417996.956 * [misc]backup-simplify: Simplify (- 0) into 0 1539417996.956 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417996.956 * [misc]backup-simplify: Simplify 0 into 0 1539417996.956 * [misc]backup-simplify: Simplify (- 0) into 0 1539417996.957 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417996.957 * [misc]backup-simplify: Simplify 0 into 0 1539417996.957 * [misc]backup-simplify: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 1539417996.957 * [misc]backup-simplify: Simplify (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 1539417996.957 * [misc]approximate: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 1539417996.957 * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 1539417996.957 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 1539417996.957 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1539417996.957 * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N 1539417996.957 * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 1539417996.957 * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 1539417996.957 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 1539417996.957 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1539417996.957 * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N 1539417996.958 * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 1539417996.958 * [misc]backup-simplify: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 1539417996.958 * [misc]backup-simplify: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 1539417996.958 * [misc]backup-simplify: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 1539417996.958 * [misc]backup-simplify: Simplify (- 0) into 0 1539417996.958 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417996.958 * [misc]backup-simplify: Simplify 0 into 0 1539417996.958 * [misc]backup-simplify: Simplify (- 0) into 0 1539417996.959 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417996.959 * [misc]backup-simplify: Simplify 0 into 0 1539417996.959 * [misc]backup-simplify: Simplify (- 0) into 0 1539417996.959 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417996.959 * [misc]backup-simplify: Simplify 0 into 0 1539417996.959 * [misc]backup-simplify: Simplify (- 0) into 0 1539417996.959 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417996.959 * [misc]backup-simplify: Simplify 0 into 0 1539417996.960 * [misc]backup-simplify: Simplify (- 0) into 0 1539417996.960 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417996.960 * [misc]backup-simplify: Simplify 0 into 0 1539417996.960 * [misc]backup-simplify: Simplify (- 0) into 0 1539417996.960 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417996.960 * [misc]backup-simplify: Simplify 0 into 0 1539417996.960 * [misc]backup-simplify: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 1539417996.960 * [misc]backup-simplify: Simplify (- (atan (+ 1 (/ 1 (- N)))) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 1539417996.961 * [misc]approximate: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 1539417996.961 * [misc]taylor: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 1539417996.961 * [misc]taylor: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 1539417996.961 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1539417996.961 * [misc]taylor: Taking taylor expansion of (atan (/ -1 N)) in N 1539417996.961 * [misc]backup-simplify: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 1539417996.961 * [misc]taylor: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 1539417996.961 * [misc]taylor: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 1539417996.961 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1539417996.961 * [misc]taylor: Taking taylor expansion of (atan (/ -1 N)) in N 1539417996.961 * [misc]backup-simplify: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 1539417996.961 * [misc]backup-simplify: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 1539417996.961 * [misc]backup-simplify: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 1539417996.961 * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 1539417996.962 * [misc]backup-simplify: Simplify (- 0) into 0 1539417996.962 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417996.962 * [misc]backup-simplify: Simplify 0 into 0 1539417996.962 * [misc]backup-simplify: Simplify (- 0) into 0 1539417996.962 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417996.962 * [misc]backup-simplify: Simplify 0 into 0 1539417996.962 * [misc]backup-simplify: Simplify (- 0) into 0 1539417996.962 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417996.963 * [misc]backup-simplify: Simplify 0 into 0 1539417996.963 * [misc]backup-simplify: Simplify (- 0) into 0 1539417996.963 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417996.963 * [misc]backup-simplify: Simplify 0 into 0 1539417996.963 * [misc]backup-simplify: Simplify (- 0) into 0 1539417996.963 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417996.963 * [misc]backup-simplify: Simplify 0 into 0 1539417996.963 * [misc]backup-simplify: Simplify (- 0) into 0 1539417996.964 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417996.964 * [misc]backup-simplify: Simplify 0 into 0 1539417996.964 * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 1539417996.964 * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) 1539417996.964 * [misc]backup-simplify: Simplify (atan (+ 1 N)) into (atan (+ N 1)) 1539417996.964 * [misc]approximate: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 1539417996.964 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N 1539417996.964 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1539417996.964 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N 1539417996.964 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1539417996.964 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1539417996.964 * [misc]backup-simplify: Simplify 0 into 0 1539417996.964 * [misc]backup-simplify: Simplify 0 into 0 1539417996.965 * [misc]backup-simplify: Simplify 0 into 0 1539417996.965 * [misc]backup-simplify: Simplify 0 into 0 1539417996.965 * [misc]backup-simplify: Simplify 0 into 0 1539417996.965 * [misc]backup-simplify: Simplify 0 into 0 1539417996.965 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1539417996.965 * [misc]backup-simplify: Simplify (atan (+ 1 (/ 1 N))) into (atan (+ (/ 1 N) 1)) 1539417996.965 * [misc]approximate: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 1539417996.965 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 1539417996.965 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1539417996.965 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 1539417996.965 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1539417996.965 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1539417996.965 * [misc]backup-simplify: Simplify 0 into 0 1539417996.965 * [misc]backup-simplify: Simplify 0 into 0 1539417996.965 * [misc]backup-simplify: Simplify 0 into 0 1539417996.965 * [misc]backup-simplify: Simplify 0 into 0 1539417996.965 * [misc]backup-simplify: Simplify 0 into 0 1539417996.966 * [misc]backup-simplify: Simplify 0 into 0 1539417996.966 * [misc]backup-simplify: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) 1539417996.966 * [misc]backup-simplify: Simplify (atan (+ 1 (/ 1 (- N)))) into (atan (- 1 (/ 1 N))) 1539417996.966 * [misc]approximate: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0 1539417996.966 * [misc]taylor: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 1539417996.966 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1539417996.966 * [misc]taylor: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 1539417996.966 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1539417996.966 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1539417996.966 * [misc]backup-simplify: Simplify 0 into 0 1539417996.966 * [misc]backup-simplify: Simplify 0 into 0 1539417996.966 * [misc]backup-simplify: Simplify 0 into 0 1539417996.966 * [misc]backup-simplify: Simplify 0 into 0 1539417996.966 * [misc]backup-simplify: Simplify 0 into 0 1539417996.966 * [misc]backup-simplify: Simplify 0 into 0 1539417996.967 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) 1539417996.967 * * * [misc]progress: simplifying candidates 1539417996.967 * * * * [misc]progress: [ 1 / 28 ] simplifiying candidate # 1539417996.967 * [enter]simplify: Simplifying (- (+ 1 N) N) 1539417996.967 * * [misc]simplify: iters left: 4 (4 enodes) 1539417996.968 * * [misc]simplify: iters left: 3 (11 enodes) 1539417996.972 * * [misc]simplify: iters left: 2 (18 enodes) 1539417996.975 * * [misc]simplify: iters left: 1 (19 enodes) 1539417996.978 * [exit]simplify: Simplified to 1 1539417996.978 * [misc]simplify: Simplified (2 1) to (λ (N) (atan2 1 (+ 1 (* (+ 1 N) N)))) 1539417996.978 * [enter]simplify: Simplifying (+ 1 (* (+ 1 N) N)) 1539417996.978 * * [misc]simplify: iters left: 6 (5 enodes) 1539417996.980 * * [misc]simplify: iters left: 5 (10 enodes) 1539417996.982 * * [misc]simplify: iters left: 4 (17 enodes) 1539417996.988 * * [misc]simplify: iters left: 3 (27 enodes) 1539417996.995 * * [misc]simplify: iters left: 2 (42 enodes) 1539417997.010 * * [misc]simplify: iters left: 1 (43 enodes) 1539417997.015 * [exit]simplify: Simplified to (+ (+ N 1) (* N N)) 1539417997.015 * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ N 1) (* N N)))) 1539417997.015 * * * * [misc]progress: [ 2 / 28 ] simplifiying candidate # 1539417997.016 * [enter]simplify: Simplifying (/ (exp (atan (+ 1 N))) (exp (atan N))) 1539417997.016 * * [misc]simplify: iters left: 6 (8 enodes) 1539417997.017 * * [misc]simplify: iters left: 5 (13 enodes) 1539417997.018 * * [misc]simplify: iters left: 4 (15 enodes) 1539417997.026 * * [misc]simplify: iters left: 3 (18 enodes) 1539417997.028 * * [misc]simplify: iters left: 2 (20 enodes) 1539417997.030 * * [misc]simplify: iters left: 1 (24 enodes) 1539417997.033 * [exit]simplify: Simplified to (exp (- (atan (+ N 1)) (atan N))) 1539417997.034 * [misc]simplify: Simplified (2 1) to (λ (N) (log (exp (- (atan (+ N 1)) (atan N))))) 1539417997.034 * * * * [misc]progress: [ 3 / 28 ] simplifiying candidate # 1539417997.034 * * * * [misc]progress: [ 4 / 28 ] simplifiying candidate # 1539417997.034 * * * * [misc]progress: [ 5 / 28 ] simplifiying candidate # 1539417997.034 * * * * [misc]progress: [ 6 / 28 ] simplifiying candidate # 1539417997.034 * * * * [misc]progress: [ 7 / 28 ] simplifiying candidate # 1539417997.034 * * * * [misc]progress: [ 8 / 28 ] simplifiying candidate # 1539417997.034 * * * * [misc]progress: [ 9 / 28 ] simplifiying candidate # 1539417997.034 * * * * [misc]progress: [ 10 / 28 ] simplifiying candidate # 1539417997.034 * * * * [misc]progress: [ 11 / 28 ] simplifiying candidate # 1539417997.034 * * * * [misc]progress: [ 12 / 28 ] simplifiying candidate # 1539417997.034 * * * * [misc]progress: [ 13 / 28 ] simplifiying candidate # 1539417997.034 * [enter]simplify: Simplifying (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))) 1539417997.034 * * [misc]simplify: iters left: 6 (8 enodes) 1539417997.036 * * [misc]simplify: iters left: 5 (12 enodes) 1539417997.039 * [exit]simplify: Simplified to (+ (sqrt (atan N)) (sqrt (atan (+ N 1)))) 1539417997.039 * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (sqrt (atan N)) (sqrt (atan (+ N 1)))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N))))) 1539417997.039 * [enter]simplify: Simplifying (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) 1539417997.039 * * [misc]simplify: iters left: 6 (8 enodes) 1539417997.041 * * [misc]simplify: iters left: 5 (13 enodes) 1539417997.045 * * [misc]simplify: iters left: 4 (14 enodes) 1539417997.048 * [exit]simplify: Simplified to (- (sqrt (atan (+ N 1))) (sqrt (atan N))) 1539417997.049 * [misc]simplify: Simplified (2 2) to (λ (N) (* (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N))))) 1539417997.049 * * * * [misc]progress: [ 14 / 28 ] simplifiying candidate # 1539417997.049 * [enter]simplify: Simplifying (- (atan (+ 1 N)) (atan N)) 1539417997.049 * * [misc]simplify: iters left: 5 (6 enodes) 1539417997.051 * * [misc]simplify: iters left: 4 (11 enodes) 1539417997.053 * * [misc]simplify: iters left: 3 (12 enodes) 1539417997.056 * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) 1539417997.056 * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (atan (+ N 1)) (atan N)))) 1539417997.056 * * * * [misc]progress: [ 15 / 28 ] simplifiying candidate # 1539417997.056 * * * * [misc]progress: [ 16 / 28 ] simplifiying candidate # 1539417997.056 * * * * [misc]progress: [ 17 / 28 ] simplifiying candidate # 1539417997.056 * * * * [misc]progress: [ 18 / 28 ] simplifiying candidate # 1539417997.056 * * * * [misc]progress: [ 19 / 28 ] simplifiying candidate # 1539417997.057 * * * * [misc]progress: [ 20 / 28 ] simplifiying candidate # 1539417997.057 * * * * [misc]progress: [ 21 / 28 ] simplifiying candidate # 1539417997.057 * * * * [misc]progress: [ 22 / 28 ] simplifiying candidate # 1539417997.057 * * * * [misc]progress: [ 23 / 28 ] simplifiying candidate # 1539417997.057 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1539417997.057 * * [misc]simplify: iters left: 5 (6 enodes) 1539417997.059 * * [misc]simplify: iters left: 4 (11 enodes) 1539417997.060 * * [misc]simplify: iters left: 3 (12 enodes) 1539417997.062 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1539417997.062 * [misc]simplify: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1539417997.062 * * * * [misc]progress: [ 24 / 28 ] simplifiying candidate # 1539417997.062 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1539417997.062 * * [misc]simplify: iters left: 5 (6 enodes) 1539417997.063 * * [misc]simplify: iters left: 4 (11 enodes) 1539417997.064 * * [misc]simplify: iters left: 3 (12 enodes) 1539417997.065 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1539417997.065 * [misc]simplify: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1539417997.065 * * * * [misc]progress: [ 25 / 28 ] simplifiying candidate # 1539417997.066 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1539417997.066 * * [misc]simplify: iters left: 5 (6 enodes) 1539417997.066 * * [misc]simplify: iters left: 4 (11 enodes) 1539417997.068 * * [misc]simplify: iters left: 3 (12 enodes) 1539417997.069 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1539417997.069 * [misc]simplify: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1539417997.069 * * * * [misc]progress: [ 26 / 28 ] simplifiying candidate # 1539417997.070 * [enter]simplify: Simplifying (atan (+ N 1)) 1539417997.070 * * [misc]simplify: iters left: 3 (4 enodes) 1539417997.070 * * [misc]simplify: iters left: 2 (7 enodes) 1539417997.071 * [exit]simplify: Simplified to (atan (+ 1 N)) 1539417997.071 * [misc]simplify: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1539417997.071 * * * * [misc]progress: [ 27 / 28 ] simplifiying candidate # 1539417997.071 * [enter]simplify: Simplifying (atan (+ N 1)) 1539417997.071 * * [misc]simplify: iters left: 3 (4 enodes) 1539417997.072 * * [misc]simplify: iters left: 2 (7 enodes) 1539417997.073 * [exit]simplify: Simplified to (atan (+ 1 N)) 1539417997.073 * [misc]simplify: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1539417997.073 * * * * [misc]progress: [ 28 / 28 ] simplifiying candidate # 1539417997.073 * [enter]simplify: Simplifying (atan (+ N 1)) 1539417997.073 * * [misc]simplify: iters left: 3 (4 enodes) 1539417997.074 * * [misc]simplify: iters left: 2 (7 enodes) 1539417997.074 * [exit]simplify: Simplified to (atan (+ 1 N)) 1539417997.074 * [misc]simplify: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1539417997.074 * * * [misc]progress: adding candidates to table 1539417997.302 * * [misc]progress: iteration 2 / 4 1539417997.302 * * * [misc]progress: picking best candidate 1539417997.306 * * * * [misc]pick: Picked # 1539417997.306 * * * [misc]progress: localizing error 1539417997.337 * * * [misc]progress: generating rewritten candidates 1539417997.337 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) 1539417997.338 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2 2) 1539417997.340 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2) 1539417997.344 * * * [misc]progress: generating series expansions 1539417997.344 * * * * [misc]progress: [ 1 / 3 ] generating series at (2) 1539417997.344 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ 1 N) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417997.344 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1539417997.344 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1539417997.344 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417997.344 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1539417997.344 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417997.345 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417997.345 * [misc]backup-simplify: Simplify 0 into 0 1539417997.345 * [misc]backup-simplify: Simplify 0 into 0 1539417997.345 * [misc]backup-simplify: Simplify 0 into 0 1539417997.345 * [misc]backup-simplify: Simplify 0 into 0 1539417997.345 * [misc]backup-simplify: Simplify 0 into 0 1539417997.345 * [misc]backup-simplify: Simplify 0 into 0 1539417997.345 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417997.345 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1539417997.345 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1539417997.345 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1539417997.345 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1539417997.345 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1539417997.345 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1539417997.345 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1539417997.345 * [misc]backup-simplify: Simplify 0 into 0 1539417997.345 * [misc]backup-simplify: Simplify 0 into 0 1539417997.345 * [misc]backup-simplify: Simplify 0 into 0 1539417997.345 * [misc]backup-simplify: Simplify 0 into 0 1539417997.345 * [misc]backup-simplify: Simplify 0 into 0 1539417997.345 * [misc]backup-simplify: Simplify 0 into 0 1539417997.346 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417997.346 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1539417997.346 * [misc]approximate: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1539417997.346 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1539417997.346 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1539417997.346 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1539417997.346 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1539417997.346 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1539417997.346 * [misc]backup-simplify: Simplify 0 into 0 1539417997.346 * [misc]backup-simplify: Simplify 0 into 0 1539417997.346 * [misc]backup-simplify: Simplify 0 into 0 1539417997.346 * [misc]backup-simplify: Simplify 0 into 0 1539417997.346 * [misc]backup-simplify: Simplify 0 into 0 1539417997.346 * [misc]backup-simplify: Simplify 0 into 0 1539417997.346 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417997.347 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2 2) 1539417997.347 * [misc]backup-simplify: Simplify (* (+ 1 N) N) into (* (+ N 1) N) 1539417997.347 * [misc]approximate: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 1539417997.347 * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N 1539417997.347 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1539417997.347 * [misc]taylor: Taking taylor expansion of N in N 1539417997.347 * [misc]backup-simplify: Simplify 0 into 0 1539417997.347 * [misc]backup-simplify: Simplify 1 into 1 1539417997.347 * [misc]taylor: Taking taylor expansion of 1 in N 1539417997.347 * [misc]backup-simplify: Simplify 1 into 1 1539417997.347 * [misc]taylor: Taking taylor expansion of N in N 1539417997.347 * [misc]backup-simplify: Simplify 0 into 0 1539417997.347 * [misc]backup-simplify: Simplify 1 into 1 1539417997.347 * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N 1539417997.347 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1539417997.347 * [misc]taylor: Taking taylor expansion of N in N 1539417997.347 * [misc]backup-simplify: Simplify 0 into 0 1539417997.347 * [misc]backup-simplify: Simplify 1 into 1 1539417997.347 * [misc]taylor: Taking taylor expansion of 1 in N 1539417997.347 * [misc]backup-simplify: Simplify 1 into 1 1539417997.347 * [misc]taylor: Taking taylor expansion of N in N 1539417997.347 * [misc]backup-simplify: Simplify 0 into 0 1539417997.347 * [misc]backup-simplify: Simplify 1 into 1 1539417997.347 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1539417997.347 * [misc]backup-simplify: Simplify (* 1 0) into 0 1539417997.347 * [misc]backup-simplify: Simplify 0 into 0 1539417997.347 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1539417997.348 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 1539417997.348 * [misc]backup-simplify: Simplify 1 into 1 1539417997.348 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417997.348 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 1539417997.348 * [misc]backup-simplify: Simplify 1 into 1 1539417997.348 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417997.348 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1539417997.348 * [misc]backup-simplify: Simplify 0 into 0 1539417997.348 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417997.349 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1539417997.349 * [misc]backup-simplify: Simplify 0 into 0 1539417997.349 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417997.349 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1539417997.349 * [misc]backup-simplify: Simplify 0 into 0 1539417997.349 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417997.349 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1539417997.349 * [misc]backup-simplify: Simplify 0 into 0 1539417997.350 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417997.350 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1539417997.350 * [misc]backup-simplify: Simplify 0 into 0 1539417997.350 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417997.350 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 1539417997.350 * [misc]backup-simplify: Simplify 0 into 0 1539417997.350 * [misc]backup-simplify: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 1539417997.351 * [misc]backup-simplify: Simplify (* (+ 1 (/ 1 N)) (/ 1 N)) into (/ (+ (/ 1 N) 1) N) 1539417997.351 * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 1539417997.351 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 1539417997.351 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1539417997.351 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1539417997.351 * [misc]taylor: Taking taylor expansion of N in N 1539417997.351 * [misc]backup-simplify: Simplify 0 into 0 1539417997.351 * [misc]backup-simplify: Simplify 1 into 1 1539417997.351 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539417997.351 * [misc]taylor: Taking taylor expansion of 1 in N 1539417997.351 * [misc]backup-simplify: Simplify 1 into 1 1539417997.351 * [misc]taylor: Taking taylor expansion of N in N 1539417997.351 * [misc]backup-simplify: Simplify 0 into 0 1539417997.351 * [misc]backup-simplify: Simplify 1 into 1 1539417997.351 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1539417997.351 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539417997.351 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 1539417997.351 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1539417997.351 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1539417997.351 * [misc]taylor: Taking taylor expansion of N in N 1539417997.351 * [misc]backup-simplify: Simplify 0 into 0 1539417997.351 * [misc]backup-simplify: Simplify 1 into 1 1539417997.351 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539417997.351 * [misc]taylor: Taking taylor expansion of 1 in N 1539417997.351 * [misc]backup-simplify: Simplify 1 into 1 1539417997.351 * [misc]taylor: Taking taylor expansion of N in N 1539417997.351 * [misc]backup-simplify: Simplify 0 into 0 1539417997.351 * [misc]backup-simplify: Simplify 1 into 1 1539417997.351 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1539417997.352 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539417997.352 * [misc]backup-simplify: Simplify 1 into 1 1539417997.352 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1539417997.352 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1539417997.352 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1539417997.352 * [misc]backup-simplify: Simplify 1 into 1 1539417997.352 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539417997.352 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417997.353 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1539417997.353 * [misc]backup-simplify: Simplify 0 into 0 1539417997.353 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539417997.353 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417997.353 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539417997.353 * [misc]backup-simplify: Simplify 0 into 0 1539417997.353 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539417997.354 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417997.354 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539417997.354 * [misc]backup-simplify: Simplify 0 into 0 1539417997.354 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539417997.354 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417997.355 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539417997.355 * [misc]backup-simplify: Simplify 0 into 0 1539417997.355 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539417997.355 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417997.355 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539417997.355 * [misc]backup-simplify: Simplify 0 into 0 1539417997.356 * [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 1539417997.356 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417997.356 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539417997.356 * [misc]backup-simplify: Simplify 0 into 0 1539417997.356 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 1539417997.356 * [misc]backup-simplify: Simplify (* (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N)) 1539417997.357 * [misc]approximate: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0 1539417997.357 * [misc]taylor: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 1539417997.357 * [misc]taylor: Taking taylor expansion of -1 in N 1539417997.357 * [misc]backup-simplify: Simplify -1 into -1 1539417997.357 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 1539417997.357 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1539417997.357 * [misc]taylor: Taking taylor expansion of 1 in N 1539417997.357 * [misc]backup-simplify: Simplify 1 into 1 1539417997.357 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1539417997.357 * [misc]taylor: Taking taylor expansion of N in N 1539417997.357 * [misc]backup-simplify: Simplify 0 into 0 1539417997.357 * [misc]backup-simplify: Simplify 1 into 1 1539417997.357 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539417997.357 * [misc]taylor: Taking taylor expansion of N in N 1539417997.357 * [misc]backup-simplify: Simplify 0 into 0 1539417997.357 * [misc]backup-simplify: Simplify 1 into 1 1539417997.357 * [misc]backup-simplify: Simplify (- 1) into -1 1539417997.357 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1539417997.357 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1539417997.357 * [misc]taylor: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 1539417997.357 * [misc]taylor: Taking taylor expansion of -1 in N 1539417997.357 * [misc]backup-simplify: Simplify -1 into -1 1539417997.357 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 1539417997.357 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1539417997.357 * [misc]taylor: Taking taylor expansion of 1 in N 1539417997.357 * [misc]backup-simplify: Simplify 1 into 1 1539417997.357 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1539417997.357 * [misc]taylor: Taking taylor expansion of N in N 1539417997.357 * [misc]backup-simplify: Simplify 0 into 0 1539417997.358 * [misc]backup-simplify: Simplify 1 into 1 1539417997.358 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539417997.358 * [misc]taylor: Taking taylor expansion of N in N 1539417997.358 * [misc]backup-simplify: Simplify 0 into 0 1539417997.358 * [misc]backup-simplify: Simplify 1 into 1 1539417997.358 * [misc]backup-simplify: Simplify (- 1) into -1 1539417997.358 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1539417997.358 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1539417997.358 * [misc]backup-simplify: Simplify (* -1 -1) into 1 1539417997.358 * [misc]backup-simplify: Simplify 1 into 1 1539417997.358 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1539417997.358 * [misc]backup-simplify: Simplify (- 0) into 0 1539417997.358 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1539417997.359 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 1539417997.359 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 -1)) into -1 1539417997.359 * [misc]backup-simplify: Simplify -1 into -1 1539417997.359 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539417997.359 * [misc]backup-simplify: Simplify (- 0) into 0 1539417997.359 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417997.359 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1539417997.360 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 1539417997.360 * [misc]backup-simplify: Simplify 0 into 0 1539417997.360 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539417997.360 * [misc]backup-simplify: Simplify (- 0) into 0 1539417997.360 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417997.360 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539417997.360 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 1539417997.360 * [misc]backup-simplify: Simplify 0 into 0 1539417997.361 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539417997.361 * [misc]backup-simplify: Simplify (- 0) into 0 1539417997.361 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417997.361 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539417997.361 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1539417997.361 * [misc]backup-simplify: Simplify 0 into 0 1539417997.362 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539417997.362 * [misc]backup-simplify: Simplify (- 0) into 0 1539417997.362 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417997.362 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539417997.362 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1539417997.363 * [misc]backup-simplify: Simplify 0 into 0 1539417997.363 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539417997.363 * [misc]backup-simplify: Simplify (- 0) into 0 1539417997.363 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417997.363 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539417997.364 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1539417997.364 * [misc]backup-simplify: Simplify 0 into 0 1539417997.364 * [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 1539417997.364 * [misc]backup-simplify: Simplify (- 0) into 0 1539417997.364 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417997.365 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539417997.365 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1539417997.365 * [misc]backup-simplify: Simplify 0 into 0 1539417997.365 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2)) 1539417997.365 * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2) 1539417997.365 * [misc]backup-simplify: Simplify (+ 1 (* (+ 1 N) N)) into (+ N (+ (pow N 2) 1)) 1539417997.365 * [misc]approximate: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in (N) around 0 1539417997.365 * [misc]taylor: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N 1539417997.365 * [misc]taylor: Taking taylor expansion of N in N 1539417997.365 * [misc]backup-simplify: Simplify 0 into 0 1539417997.365 * [misc]backup-simplify: Simplify 1 into 1 1539417997.365 * [misc]taylor: Taking taylor expansion of (+ (pow N 2) 1) in N 1539417997.365 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1539417997.365 * [misc]taylor: Taking taylor expansion of N in N 1539417997.365 * [misc]backup-simplify: Simplify 0 into 0 1539417997.365 * [misc]backup-simplify: Simplify 1 into 1 1539417997.365 * [misc]taylor: Taking taylor expansion of 1 in N 1539417997.365 * [misc]backup-simplify: Simplify 1 into 1 1539417997.366 * [misc]taylor: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N 1539417997.366 * [misc]taylor: Taking taylor expansion of N in N 1539417997.366 * [misc]backup-simplify: Simplify 0 into 0 1539417997.366 * [misc]backup-simplify: Simplify 1 into 1 1539417997.366 * [misc]taylor: Taking taylor expansion of (+ (pow N 2) 1) in N 1539417997.366 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1539417997.366 * [misc]taylor: Taking taylor expansion of N in N 1539417997.366 * [misc]backup-simplify: Simplify 0 into 0 1539417997.366 * [misc]backup-simplify: Simplify 1 into 1 1539417997.366 * [misc]taylor: Taking taylor expansion of 1 in N 1539417997.366 * [misc]backup-simplify: Simplify 1 into 1 1539417997.366 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1539417997.366 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1539417997.366 * [misc]backup-simplify: Simplify 1 into 1 1539417997.366 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417997.366 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1539417997.366 * [misc]backup-simplify: Simplify 1 into 1 1539417997.366 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539417997.366 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1539417997.366 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1539417997.367 * [misc]backup-simplify: Simplify 1 into 1 1539417997.367 * [misc]backup-simplify: Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1)) 1539417997.367 * [misc]backup-simplify: Simplify (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))) into (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 1539417997.367 * [misc]approximate: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in (N) around 0 1539417997.367 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in N 1539417997.367 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1539417997.367 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1539417997.367 * [misc]taylor: Taking taylor expansion of N in N 1539417997.367 * [misc]backup-simplify: Simplify 0 into 0 1539417997.367 * [misc]backup-simplify: Simplify 1 into 1 1539417997.367 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539417997.367 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539417997.367 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1539417997.367 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1539417997.367 * [misc]taylor: Taking taylor expansion of N in N 1539417997.367 * [misc]backup-simplify: Simplify 0 into 0 1539417997.367 * [misc]backup-simplify: Simplify 1 into 1 1539417997.367 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539417997.367 * [misc]taylor: Taking taylor expansion of 1 in N 1539417997.367 * [misc]backup-simplify: Simplify 1 into 1 1539417997.367 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in N 1539417997.367 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1539417997.367 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1539417997.367 * [misc]taylor: Taking taylor expansion of N in N 1539417997.368 * [misc]backup-simplify: Simplify 0 into 0 1539417997.368 * [misc]backup-simplify: Simplify 1 into 1 1539417997.368 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539417997.368 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539417997.368 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1539417997.368 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1539417997.368 * [misc]taylor: Taking taylor expansion of N in N 1539417997.368 * [misc]backup-simplify: Simplify 0 into 0 1539417997.368 * [misc]backup-simplify: Simplify 1 into 1 1539417997.368 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539417997.368 * [misc]taylor: Taking taylor expansion of 1 in N 1539417997.368 * [misc]backup-simplify: Simplify 1 into 1 1539417997.368 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1539417997.368 * [misc]backup-simplify: Simplify 1 into 1 1539417997.369 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1539417997.369 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1539417997.369 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1539417997.369 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1539417997.369 * [misc]backup-simplify: Simplify 1 into 1 1539417997.370 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1539417997.370 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539417997.370 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1539417997.370 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1539417997.370 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1539417997.370 * [misc]backup-simplify: Simplify 1 into 1 1539417997.371 * [misc]backup-simplify: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1)) 1539417997.371 * [misc]backup-simplify: Simplify (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 1539417997.371 * [misc]approximate: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in (N) around 0 1539417997.371 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in N 1539417997.371 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 1539417997.371 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1539417997.371 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1539417997.371 * [misc]taylor: Taking taylor expansion of N in N 1539417997.371 * [misc]backup-simplify: Simplify 0 into 0 1539417997.371 * [misc]backup-simplify: Simplify 1 into 1 1539417997.371 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539417997.372 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539417997.372 * [misc]taylor: Taking taylor expansion of 1 in N 1539417997.372 * [misc]backup-simplify: Simplify 1 into 1 1539417997.372 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1539417997.372 * [misc]taylor: Taking taylor expansion of N in N 1539417997.372 * [misc]backup-simplify: Simplify 0 into 0 1539417997.372 * [misc]backup-simplify: Simplify 1 into 1 1539417997.372 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539417997.372 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in N 1539417997.372 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 1539417997.372 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1539417997.372 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1539417997.372 * [misc]taylor: Taking taylor expansion of N in N 1539417997.372 * [misc]backup-simplify: Simplify 0 into 0 1539417997.372 * [misc]backup-simplify: Simplify 1 into 1 1539417997.372 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539417997.372 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539417997.372 * [misc]taylor: Taking taylor expansion of 1 in N 1539417997.372 * [misc]backup-simplify: Simplify 1 into 1 1539417997.372 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1539417997.372 * [misc]taylor: Taking taylor expansion of N in N 1539417997.372 * [misc]backup-simplify: Simplify 0 into 0 1539417997.372 * [misc]backup-simplify: Simplify 1 into 1 1539417997.373 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539417997.373 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1539417997.373 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1539417997.373 * [misc]backup-simplify: Simplify 1 into 1 1539417997.373 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1539417997.374 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1539417997.374 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417997.374 * [misc]backup-simplify: Simplify (- 1) into -1 1539417997.374 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1539417997.374 * [misc]backup-simplify: Simplify -1 into -1 1539417997.374 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1539417997.375 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539417997.375 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1539417997.375 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1539417997.375 * [misc]backup-simplify: Simplify (- 0) into 0 1539417997.375 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1539417997.375 * [misc]backup-simplify: Simplify 1 into 1 1539417997.376 * [misc]backup-simplify: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1)) 1539417997.376 * * * [misc]progress: simplifying candidates 1539417997.376 * * * * [misc]progress: [ 1 / 39 ] simplifiying candidate # 1539417997.376 * * * * [misc]progress: [ 2 / 39 ] simplifiying candidate # 1539417997.376 * * * * [misc]progress: [ 3 / 39 ] simplifiying candidate # 1539417997.376 * * * * [misc]progress: [ 4 / 39 ] simplifiying candidate # 1539417997.376 * * * * [misc]progress: [ 5 / 39 ] simplifiying candidate # 1539417997.376 * * * * [misc]progress: [ 6 / 39 ] simplifiying candidate # 1539417997.376 * * * * [misc]progress: [ 7 / 39 ] simplifiying candidate # 1539417997.376 * * * * [misc]progress: [ 8 / 39 ] simplifiying candidate # 1539417997.376 * * * * [misc]progress: [ 9 / 39 ] simplifiying candidate # 1539417997.376 * * * * [misc]progress: [ 10 / 39 ] simplifiying candidate # 1539417997.377 * * * * [misc]progress: [ 11 / 39 ] simplifiying candidate # 1539417997.377 * * * * [misc]progress: [ 12 / 39 ] simplifiying candidate # 1539417997.377 * * * * [misc]progress: [ 13 / 39 ] simplifiying candidate # 1539417997.377 * * * * [misc]progress: [ 14 / 39 ] simplifiying candidate # 1539417997.377 * * * * [misc]progress: [ 15 / 39 ] simplifiying candidate # 1539417997.377 * [enter]simplify: Simplifying (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1539417997.377 * * [misc]simplify: iters left: 5 (5 enodes) 1539417997.379 * * [misc]simplify: iters left: 4 (8 enodes) 1539417997.381 * [exit]simplify: Simplified to (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1539417997.381 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ 1 N)) N))))) 1539417997.381 * * * * [misc]progress: [ 16 / 39 ] simplifiying candidate # 1539417997.381 * [enter]simplify: Simplifying (sqrt (+ 1 N)) 1539417997.381 * * [misc]simplify: iters left: 3 (4 enodes) 1539417997.382 * * [misc]simplify: iters left: 2 (7 enodes) 1539417997.384 * [exit]simplify: Simplified to (sqrt (+ N 1)) 1539417997.384 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (sqrt (+ N 1)) (* (sqrt (+ 1 N)) N))))) 1539417997.384 * * * * [misc]progress: [ 17 / 39 ] simplifiying candidate # 1539417997.384 * * * * [misc]progress: [ 18 / 39 ] simplifiying candidate # 1539417997.384 * [enter]simplify: Simplifying (* (+ (pow 1 3) (pow N 3)) N) 1539417997.385 * * [misc]simplify: iters left: 5 (7 enodes) 1539417997.388 * * [misc]simplify: iters left: 4 (16 enodes) 1539417997.391 * * [misc]simplify: iters left: 3 (24 enodes) 1539417997.401 * * [misc]simplify: iters left: 2 (31 enodes) 1539417997.408 * [exit]simplify: Simplified to (+ (pow N 4) N) 1539417997.408 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (/ (+ (pow N 4) N) (+ (* 1 1) (- (* N N) (* 1 N))))))) 1539417997.408 * * * * [misc]progress: [ 19 / 39 ] simplifiying candidate # 1539417997.408 * [enter]simplify: Simplifying (* (- (* 1 1) (* N N)) N) 1539417997.408 * * [misc]simplify: iters left: 6 (6 enodes) 1539417997.410 * * [misc]simplify: iters left: 5 (11 enodes) 1539417997.413 * * [misc]simplify: iters left: 4 (21 enodes) 1539417997.421 * * [misc]simplify: iters left: 3 (28 enodes) 1539417997.427 * * [misc]simplify: iters left: 2 (31 enodes) 1539417997.434 * [exit]simplify: Simplified to (- N (pow N 3)) 1539417997.434 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (/ (- N (pow N 3)) (- 1 N))))) 1539417997.434 * * * * [misc]progress: [ 20 / 39 ] simplifiying candidate # 1539417997.434 * * * * [misc]progress: [ 21 / 39 ] simplifiying candidate # 1539417997.434 * * * * [misc]progress: [ 22 / 39 ] simplifiying candidate # 1539417997.434 * * * * [misc]progress: [ 23 / 39 ] simplifiying candidate # 1539417997.434 * * * * [misc]progress: [ 24 / 39 ] simplifiying candidate # 1539417997.434 * * * * [misc]progress: [ 25 / 39 ] simplifiying candidate # 1539417997.434 * * * * [misc]progress: [ 26 / 39 ] simplifiying candidate # 1539417997.434 * * * * [misc]progress: [ 27 / 39 ] simplifiying candidate # 1539417997.434 * * * * [misc]progress: [ 28 / 39 ] simplifiying candidate # 1539417997.434 * * * * [misc]progress: [ 29 / 39 ] simplifiying candidate # 1539417997.434 * * * * [misc]progress: [ 30 / 39 ] simplifiying candidate # 1539417997.434 * * * * [misc]progress: [ 31 / 39 ] simplifiying candidate # 1539417997.435 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1539417997.435 * * [misc]simplify: iters left: 6 (7 enodes) 1539417997.437 * * [misc]simplify: iters left: 5 (14 enodes) 1539417997.441 * * [misc]simplify: iters left: 4 (21 enodes) 1539417997.449 * * [misc]simplify: iters left: 3 (23 enodes) 1539417997.454 * * [misc]simplify: iters left: 2 (29 enodes) 1539417997.462 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1539417997.462 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1539417997.462 * * * * [misc]progress: [ 32 / 39 ] simplifiying candidate # 1539417997.463 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1539417997.463 * * [misc]simplify: iters left: 6 (7 enodes) 1539417997.465 * * [misc]simplify: iters left: 5 (14 enodes) 1539417997.469 * * [misc]simplify: iters left: 4 (21 enodes) 1539417997.472 * * [misc]simplify: iters left: 3 (23 enodes) 1539417997.475 * * [misc]simplify: iters left: 2 (29 enodes) 1539417997.479 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1539417997.479 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1539417997.479 * * * * [misc]progress: [ 33 / 39 ] simplifiying candidate # 1539417997.479 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1539417997.480 * * [misc]simplify: iters left: 6 (7 enodes) 1539417997.481 * * [misc]simplify: iters left: 5 (14 enodes) 1539417997.482 * * [misc]simplify: iters left: 4 (21 enodes) 1539417997.485 * * [misc]simplify: iters left: 3 (23 enodes) 1539417997.488 * * [misc]simplify: iters left: 2 (29 enodes) 1539417997.491 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1539417997.492 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1539417997.492 * * * * [misc]progress: [ 34 / 39 ] simplifiying candidate # 1539417997.492 * [enter]simplify: Simplifying (+ N (pow N 2)) 1539417997.492 * * [misc]simplify: iters left: 3 (4 enodes) 1539417997.492 * * [misc]simplify: iters left: 2 (6 enodes) 1539417997.493 * * [misc]simplify: iters left: 1 (9 enodes) 1539417997.494 * [exit]simplify: Simplified to (+ N (* N N)) 1539417997.494 * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N))))) 1539417997.494 * * * * [misc]progress: [ 35 / 39 ] simplifiying candidate # 1539417997.495 * [enter]simplify: Simplifying (+ N (pow N 2)) 1539417997.495 * * [misc]simplify: iters left: 3 (4 enodes) 1539417997.495 * * [misc]simplify: iters left: 2 (6 enodes) 1539417997.496 * * [misc]simplify: iters left: 1 (9 enodes) 1539417997.497 * [exit]simplify: Simplified to (+ N (* N N)) 1539417997.497 * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N))))) 1539417997.497 * * * * [misc]progress: [ 36 / 39 ] simplifiying candidate # 1539417997.497 * [enter]simplify: Simplifying (+ N (pow N 2)) 1539417997.497 * * [misc]simplify: iters left: 3 (4 enodes) 1539417997.498 * * [misc]simplify: iters left: 2 (6 enodes) 1539417997.499 * * [misc]simplify: iters left: 1 (9 enodes) 1539417997.500 * [exit]simplify: Simplified to (+ N (* N N)) 1539417997.500 * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N))))) 1539417997.500 * * * * [misc]progress: [ 37 / 39 ] simplifiying candidate # 1539417997.500 * [enter]simplify: Simplifying (+ N (+ (pow N 2) 1)) 1539417997.500 * * [misc]simplify: iters left: 5 (6 enodes) 1539417997.501 * * [misc]simplify: iters left: 4 (13 enodes) 1539417997.503 * * [misc]simplify: iters left: 3 (20 enodes) 1539417997.505 * * [misc]simplify: iters left: 2 (22 enodes) 1539417997.508 * * [misc]simplify: iters left: 1 (28 enodes) 1539417997.516 * [exit]simplify: Simplified to (+ (+ 1 N) (* N N)) 1539417997.516 * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ 1 N) (* N N)))) 1539417997.516 * * * * [misc]progress: [ 38 / 39 ] simplifiying candidate # 1539417997.516 * [enter]simplify: Simplifying (+ N (+ (pow N 2) 1)) 1539417997.517 * * [misc]simplify: iters left: 5 (6 enodes) 1539417997.518 * * [misc]simplify: iters left: 4 (13 enodes) 1539417997.522 * * [misc]simplify: iters left: 3 (20 enodes) 1539417997.527 * * [misc]simplify: iters left: 2 (22 enodes) 1539417997.532 * * [misc]simplify: iters left: 1 (28 enodes) 1539417997.539 * [exit]simplify: Simplified to (+ (+ 1 N) (* N N)) 1539417997.540 * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ 1 N) (* N N)))) 1539417997.540 * * * * [misc]progress: [ 39 / 39 ] simplifiying candidate # 1539417997.540 * [enter]simplify: Simplifying (+ N (+ (pow N 2) 1)) 1539417997.540 * * [misc]simplify: iters left: 5 (6 enodes) 1539417997.542 * * [misc]simplify: iters left: 4 (13 enodes) 1539417997.545 * * [misc]simplify: iters left: 3 (20 enodes) 1539417997.550 * * [misc]simplify: iters left: 2 (22 enodes) 1539417997.556 * * [misc]simplify: iters left: 1 (28 enodes) 1539417997.564 * [exit]simplify: Simplified to (+ (+ 1 N) (* N N)) 1539417997.564 * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ 1 N) (* N N)))) 1539417997.564 * * * [misc]progress: adding candidates to table 1539417997.869 * * [misc]progress: iteration 3 / 4 1539417997.869 * * * [misc]progress: picking best candidate 1539417997.893 * * * * [misc]pick: Picked # 1539417997.893 * * * [misc]progress: localizing error 1539417997.905 * * * [misc]progress: generating rewritten candidates 1539417997.905 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) 1539417997.906 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1539417997.908 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1539417997.922 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) 1539417997.922 * * * [misc]progress: generating series expansions 1539417997.922 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) 1539417997.923 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1539417997.923 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 1539417997.923 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1539417997.923 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1539417997.923 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417997.923 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1539417997.923 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1539417997.923 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1539417997.923 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1539417997.924 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417997.924 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1539417997.924 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1539417997.924 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1539417997.924 * [misc]backup-simplify: Simplify 0 into 0 1539417997.925 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1539417997.925 * [misc]backup-simplify: Simplify 0 into 0 1539417997.926 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1539417997.926 * [misc]backup-simplify: Simplify 0 into 0 1539417997.927 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1539417997.927 * [misc]backup-simplify: Simplify 0 into 0 1539417997.927 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1539417997.928 * [misc]backup-simplify: Simplify 0 into 0 1539417997.929 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1539417997.929 * [misc]backup-simplify: Simplify 0 into 0 1539417997.929 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1539417997.929 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1539417997.929 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 1539417997.929 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1539417997.929 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1539417997.929 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1539417997.930 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1539417997.930 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1539417997.930 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1539417997.930 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1539417997.930 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1539417997.930 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1539417997.931 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1539417997.931 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1539417997.931 * [misc]backup-simplify: Simplify 0 into 0 1539417997.932 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1539417997.932 * [misc]backup-simplify: Simplify 0 into 0 1539417997.933 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1539417997.933 * [misc]backup-simplify: Simplify 0 into 0 1539417997.934 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1539417997.934 * [misc]backup-simplify: Simplify 0 into 0 1539417997.934 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1539417997.934 * [misc]backup-simplify: Simplify 0 into 0 1539417997.936 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1539417997.936 * [misc]backup-simplify: Simplify 0 into 0 1539417997.936 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1539417997.936 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1539417997.936 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 1539417997.936 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1539417997.936 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1539417997.936 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1539417997.937 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1539417997.937 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1539417997.937 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1539417997.937 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1539417997.937 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1539417997.938 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1539417997.938 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1539417997.938 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1539417997.938 * [misc]backup-simplify: Simplify 0 into 0 1539417997.939 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1539417997.939 * [misc]backup-simplify: Simplify 0 into 0 1539417997.940 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1539417997.940 * [misc]backup-simplify: Simplify 0 into 0 1539417997.941 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1539417997.941 * [misc]backup-simplify: Simplify 0 into 0 1539417997.941 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1539417997.941 * [misc]backup-simplify: Simplify 0 into 0 1539417997.942 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1539417997.943 * [misc]backup-simplify: Simplify 0 into 0 1539417997.943 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1539417997.943 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1539417997.943 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1539417997.943 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 1539417997.943 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1539417997.943 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1539417997.943 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417997.943 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1539417997.944 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1539417997.944 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1539417997.944 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1539417997.944 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417997.944 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1539417997.944 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1539417997.944 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1539417997.944 * [misc]backup-simplify: Simplify 0 into 0 1539417997.945 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1539417997.945 * [misc]backup-simplify: Simplify 0 into 0 1539417997.946 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1539417997.946 * [misc]backup-simplify: Simplify 0 into 0 1539417997.947 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1539417997.947 * [misc]backup-simplify: Simplify 0 into 0 1539417997.947 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1539417997.947 * [misc]backup-simplify: Simplify 0 into 0 1539417997.948 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1539417997.948 * [misc]backup-simplify: Simplify 0 into 0 1539417997.949 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1539417997.949 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1539417997.949 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 1539417997.949 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1539417997.949 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1539417997.950 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1539417997.950 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1539417997.950 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1539417997.950 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1539417997.950 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1539417997.950 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1539417997.950 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1539417997.951 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1539417997.951 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1539417997.951 * [misc]backup-simplify: Simplify 0 into 0 1539417997.952 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1539417997.952 * [misc]backup-simplify: Simplify 0 into 0 1539417997.953 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1539417997.953 * [misc]backup-simplify: Simplify 0 into 0 1539417997.953 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1539417997.953 * [misc]backup-simplify: Simplify 0 into 0 1539417997.954 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1539417997.954 * [misc]backup-simplify: Simplify 0 into 0 1539417997.955 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1539417997.955 * [misc]backup-simplify: Simplify 0 into 0 1539417997.955 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1539417997.956 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1539417997.956 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 1539417997.956 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1539417997.956 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1539417997.956 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1539417997.956 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1539417997.956 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1539417997.956 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1539417997.956 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1539417997.957 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1539417997.957 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1539417997.957 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1539417997.957 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1539417997.958 * [misc]backup-simplify: Simplify 0 into 0 1539417997.959 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1539417997.959 * [misc]backup-simplify: Simplify 0 into 0 1539417997.959 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1539417997.959 * [misc]backup-simplify: Simplify 0 into 0 1539417997.961 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1539417997.961 * [misc]backup-simplify: Simplify 0 into 0 1539417997.962 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1539417997.962 * [misc]backup-simplify: Simplify 0 into 0 1539417997.963 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1539417997.963 * [misc]backup-simplify: Simplify 0 into 0 1539417997.963 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1539417997.963 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1539417997.964 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417997.964 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1539417997.964 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1539417997.964 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417997.964 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1539417997.964 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417997.964 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417997.964 * [misc]backup-simplify: Simplify 0 into 0 1539417997.964 * [misc]backup-simplify: Simplify 0 into 0 1539417997.964 * [misc]backup-simplify: Simplify 0 into 0 1539417997.964 * [misc]backup-simplify: Simplify 0 into 0 1539417997.965 * [misc]backup-simplify: Simplify 0 into 0 1539417997.965 * [misc]backup-simplify: Simplify 0 into 0 1539417997.965 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417997.965 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1539417997.965 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1539417997.965 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1539417997.965 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1539417997.965 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1539417997.966 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1539417997.966 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1539417997.966 * [misc]backup-simplify: Simplify 0 into 0 1539417997.966 * [misc]backup-simplify: Simplify 0 into 0 1539417997.966 * [misc]backup-simplify: Simplify 0 into 0 1539417997.966 * [misc]backup-simplify: Simplify 0 into 0 1539417997.966 * [misc]backup-simplify: Simplify 0 into 0 1539417997.966 * [misc]backup-simplify: Simplify 0 into 0 1539417997.966 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417997.967 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1539417997.967 * [misc]approximate: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1539417997.967 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1539417997.967 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1539417997.967 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1539417997.968 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1539417997.968 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1539417997.968 * [misc]backup-simplify: Simplify 0 into 0 1539417997.968 * [misc]backup-simplify: Simplify 0 into 0 1539417997.968 * [misc]backup-simplify: Simplify 0 into 0 1539417997.968 * [misc]backup-simplify: Simplify 0 into 0 1539417997.968 * [misc]backup-simplify: Simplify 0 into 0 1539417997.968 * [misc]backup-simplify: Simplify 0 into 0 1539417997.968 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417997.968 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) 1539417997.969 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ 1 N) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417997.969 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1539417997.969 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1539417997.969 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417997.969 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1539417997.969 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417997.969 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417997.969 * [misc]backup-simplify: Simplify 0 into 0 1539417997.969 * [misc]backup-simplify: Simplify 0 into 0 1539417997.969 * [misc]backup-simplify: Simplify 0 into 0 1539417997.969 * [misc]backup-simplify: Simplify 0 into 0 1539417997.969 * [misc]backup-simplify: Simplify 0 into 0 1539417997.970 * [misc]backup-simplify: Simplify 0 into 0 1539417997.970 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417997.970 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ 1 (/ 1 N)) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1539417997.970 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1539417997.970 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1539417997.970 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1539417997.970 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1539417997.970 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1539417997.971 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1539417997.971 * [misc]backup-simplify: Simplify 0 into 0 1539417997.971 * [misc]backup-simplify: Simplify 0 into 0 1539417997.971 * [misc]backup-simplify: Simplify 0 into 0 1539417997.971 * [misc]backup-simplify: Simplify 0 into 0 1539417997.971 * [misc]backup-simplify: Simplify 0 into 0 1539417997.971 * [misc]backup-simplify: Simplify 0 into 0 1539417997.971 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417997.971 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1539417997.971 * [misc]approximate: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1539417997.971 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1539417997.972 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1539417997.972 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1539417997.972 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1539417997.972 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1539417997.972 * [misc]backup-simplify: Simplify 0 into 0 1539417997.972 * [misc]backup-simplify: Simplify 0 into 0 1539417997.972 * [misc]backup-simplify: Simplify 0 into 0 1539417997.972 * [misc]backup-simplify: Simplify 0 into 0 1539417997.972 * [misc]backup-simplify: Simplify 0 into 0 1539417997.972 * [misc]backup-simplify: Simplify 0 into 0 1539417997.973 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417997.973 * * * [misc]progress: simplifying candidates 1539417997.973 * * * * [misc]progress: [ 1 / 73 ] simplifiying candidate # 1539417997.973 * * * * [misc]progress: [ 2 / 73 ] simplifiying candidate # 1539417997.973 * * * * [misc]progress: [ 3 / 73 ] simplifiying candidate # 1539417997.973 * * * * [misc]progress: [ 4 / 73 ] simplifiying candidate # 1539417997.973 * * * * [misc]progress: [ 5 / 73 ] simplifiying candidate # 1539417997.973 * * * * [misc]progress: [ 6 / 73 ] simplifiying candidate # 1539417997.973 * * * * [misc]progress: [ 7 / 73 ] simplifiying candidate # 1539417997.973 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (cbrt (atan2 1 (+ 1 (* (+ 1 N) N)))))) 1539417997.973 * * [misc]simplify: iters left: 6 (9 enodes) 1539417997.976 * * [misc]simplify: iters left: 5 (15 enodes) 1539417997.980 * * [misc]simplify: iters left: 4 (22 enodes) 1539417997.987 * * [misc]simplify: iters left: 3 (32 enodes) 1539417997.995 * * [misc]simplify: iters left: 2 (48 enodes) 1539417998.011 * * [misc]simplify: iters left: 1 (49 enodes) 1539417998.018 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1539417998.018 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ 1 N) N)))))))) 1539417998.018 * * * * [misc]progress: [ 8 / 73 ] simplifiying candidate # 1539417998.019 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))) 1539417998.019 * * [misc]simplify: iters left: 6 (8 enodes) 1539417998.021 * * [misc]simplify: iters left: 5 (13 enodes) 1539417998.025 * * [misc]simplify: iters left: 4 (20 enodes) 1539417998.031 * * [misc]simplify: iters left: 3 (30 enodes) 1539417998.038 * * [misc]simplify: iters left: 2 (45 enodes) 1539417998.054 * * [misc]simplify: iters left: 1 (46 enodes) 1539417998.061 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1539417998.061 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))))))) 1539417998.061 * * * * [misc]progress: [ 9 / 73 ] simplifiying candidate # 1539417998.061 * [enter]simplify: Simplifying (sqrt 1) 1539417998.061 * * [misc]simplify: iters left: 1 (2 enodes) 1539417998.063 * [exit]simplify: Simplified to 1 1539417998.063 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (* 1 (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))))) 1539417998.063 * * * * [misc]progress: [ 10 / 73 ] simplifiying candidate # 1539417998.063 * * * * [misc]progress: [ 11 / 73 ] simplifiying candidate # 1539417998.063 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) 1539417998.063 * * [misc]simplify: iters left: 6 (7 enodes) 1539417998.067 * * [misc]simplify: iters left: 5 (12 enodes) 1539417998.070 * * [misc]simplify: iters left: 4 (19 enodes) 1539417998.076 * * [misc]simplify: iters left: 3 (29 enodes) 1539417998.083 * * [misc]simplify: iters left: 2 (45 enodes) 1539417998.099 * * [misc]simplify: iters left: 1 (46 enodes) 1539417998.105 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1539417998.105 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (fabs (sqrt (atan2 1 (+ (+ N 1) (* N N))))))) 1539417998.105 * * * * [misc]progress: [ 12 / 73 ] simplifiying candidate # 1539417998.105 * * * * [misc]progress: [ 13 / 73 ] simplifiying candidate # 1539417998.105 * * * * [misc]progress: [ 14 / 73 ] simplifiying candidate # 1539417998.105 * * * * [misc]progress: [ 15 / 73 ] simplifiying candidate # 1539417998.106 * * * * [misc]progress: [ 16 / 73 ] simplifiying candidate # 1539417998.106 * * * * [misc]progress: [ 17 / 73 ] simplifiying candidate # 1539417998.106 * * * * [misc]progress: [ 18 / 73 ] simplifiying candidate # 1539417998.106 * * * * [misc]progress: [ 19 / 73 ] simplifiying candidate # 1539417998.106 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (cbrt (atan2 1 (+ 1 (* (+ 1 N) N)))))) 1539417998.106 * * [misc]simplify: iters left: 6 (9 enodes) 1539417998.109 * * [misc]simplify: iters left: 5 (15 enodes) 1539417998.113 * * [misc]simplify: iters left: 4 (22 enodes) 1539417998.120 * * [misc]simplify: iters left: 3 (32 enodes) 1539417998.128 * * [misc]simplify: iters left: 2 (48 enodes) 1539417998.144 * * [misc]simplify: iters left: 1 (49 enodes) 1539417998.150 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1539417998.150 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ 1 N) N)))))) (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))))) 1539417998.150 * * * * [misc]progress: [ 20 / 73 ] simplifiying candidate # 1539417998.151 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))) 1539417998.151 * * [misc]simplify: iters left: 6 (8 enodes) 1539417998.153 * * [misc]simplify: iters left: 5 (13 enodes) 1539417998.156 * * [misc]simplify: iters left: 4 (20 enodes) 1539417998.163 * * [misc]simplify: iters left: 3 (30 enodes) 1539417998.169 * * [misc]simplify: iters left: 2 (45 enodes) 1539417998.182 * * [misc]simplify: iters left: 1 (46 enodes) 1539417998.185 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1539417998.185 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))))) (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))))) 1539417998.185 * * * * [misc]progress: [ 21 / 73 ] simplifiying candidate # 1539417998.186 * [enter]simplify: Simplifying (sqrt 1) 1539417998.186 * * [misc]simplify: iters left: 1 (2 enodes) 1539417998.186 * [exit]simplify: Simplified to 1 1539417998.186 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))) (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))))) 1539417998.186 * * * * [misc]progress: [ 22 / 73 ] simplifiying candidate # 1539417998.186 * * * * [misc]progress: [ 23 / 73 ] simplifiying candidate # 1539417998.187 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) 1539417998.187 * * [misc]simplify: iters left: 6 (7 enodes) 1539417998.188 * * [misc]simplify: iters left: 5 (12 enodes) 1539417998.189 * * [misc]simplify: iters left: 4 (19 enodes) 1539417998.192 * * [misc]simplify: iters left: 3 (29 enodes) 1539417998.196 * * [misc]simplify: iters left: 2 (45 enodes) 1539417998.204 * * [misc]simplify: iters left: 1 (46 enodes) 1539417998.207 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1539417998.207 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (fabs (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))))) 1539417998.207 * * * * [misc]progress: [ 24 / 73 ] simplifiying candidate # 1539417998.207 * * * * [misc]progress: [ 25 / 73 ] simplifiying candidate # 1539417998.207 * [enter]simplify: Simplifying (atan2 1 (+ 1 (* (+ 1 N) N))) 1539417998.207 * * [misc]simplify: iters left: 6 (6 enodes) 1539417998.208 * * [misc]simplify: iters left: 5 (11 enodes) 1539417998.210 * * [misc]simplify: iters left: 4 (18 enodes) 1539417998.213 * * [misc]simplify: iters left: 3 (28 enodes) 1539417998.216 * * [misc]simplify: iters left: 2 (44 enodes) 1539417998.224 * * [misc]simplify: iters left: 1 (45 enodes) 1539417998.226 * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (* N N))) 1539417998.226 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N 1) (* N N))) (+ 1/2 1/2))) 1539417998.227 * [enter]simplify: Simplifying (+ 1/2 1/2) 1539417998.227 * * [misc]simplify: iters left: 2 (2 enodes) 1539417998.227 * * [misc]simplify: iters left: 1 (3 enodes) 1539417998.228 * [exit]simplify: Simplified to 1 1539417998.228 * [misc]simplify: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ 1 N) N))) 1)) 1539417998.228 * * * * [misc]progress: [ 26 / 73 ] simplifiying candidate # 1539417998.228 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) 1539417998.228 * * [misc]simplify: iters left: 6 (7 enodes) 1539417998.229 * * [misc]simplify: iters left: 5 (12 enodes) 1539417998.231 * * [misc]simplify: iters left: 4 (19 enodes) 1539417998.236 * * [misc]simplify: iters left: 3 (29 enodes) 1539417998.243 * * [misc]simplify: iters left: 2 (45 enodes) 1539417998.259 * * [misc]simplify: iters left: 1 (46 enodes) 1539417998.266 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1539417998.266 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (+ 1 1))) 1539417998.266 * [enter]simplify: Simplifying (+ 1 1) 1539417998.266 * * [misc]simplify: iters left: 2 (2 enodes) 1539417998.268 * * [misc]simplify: iters left: 1 (5 enodes) 1539417998.268 * [exit]simplify: Simplified to 2 1539417998.268 * [misc]simplify: Simplified (2 2) to (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) 2)) 1539417998.268 * * * * [misc]progress: [ 27 / 73 ] simplifiying candidate # 1539417998.269 * [enter]simplify: Simplifying (* (atan2 1 (+ 1 (* (+ 1 N) N))) (atan2 1 (+ 1 (* (+ 1 N) N)))) 1539417998.269 * * [misc]simplify: iters left: 6 (7 enodes) 1539417998.271 * * [misc]simplify: iters left: 5 (12 enodes) 1539417998.275 * * [misc]simplify: iters left: 4 (19 enodes) 1539417998.281 * * [misc]simplify: iters left: 3 (29 enodes) 1539417998.288 * * [misc]simplify: iters left: 2 (45 enodes) 1539417998.296 * * [misc]simplify: iters left: 1 (46 enodes) 1539417998.299 * [exit]simplify: Simplified to (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N)))) 1539417998.299 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N)))) 1/2)) 1539417998.299 * * * * [misc]progress: [ 28 / 73 ] simplifiying candidate # 1539417998.300 * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))) 1539417998.300 * * [misc]simplify: iters left: 6 (8 enodes) 1539417998.301 * * [misc]simplify: iters left: 5 (13 enodes) 1539417998.302 * * [misc]simplify: iters left: 4 (21 enodes) 1539417998.305 * * [misc]simplify: iters left: 3 (31 enodes) 1539417998.309 * * [misc]simplify: iters left: 2 (46 enodes) 1539417998.317 * * [misc]simplify: iters left: 1 (48 enodes) 1539417998.320 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1539417998.320 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (* N N) (+ N 1))) 1)) 1539417998.320 * * * * [misc]progress: [ 29 / 73 ] simplifiying candidate # 1539417998.320 * * * * [misc]progress: [ 30 / 73 ] simplifiying candidate # 1539417998.320 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) 1539417998.320 * * [misc]simplify: iters left: 6 (7 enodes) 1539417998.321 * * [misc]simplify: iters left: 5 (12 enodes) 1539417998.323 * * [misc]simplify: iters left: 4 (19 enodes) 1539417998.326 * * [misc]simplify: iters left: 3 (29 enodes) 1539417998.330 * * [misc]simplify: iters left: 2 (45 enodes) 1539417998.343 * * [misc]simplify: iters left: 1 (46 enodes) 1539417998.349 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1539417998.349 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (+ 1 1))) 1539417998.349 * * * * [misc]progress: [ 31 / 73 ] simplifiying candidate # 1539417998.349 * * * * [misc]progress: [ 32 / 73 ] simplifiying candidate # 1539417998.349 * [enter]simplify: Simplifying (+ (log (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))) (log (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))))) 1539417998.350 * * [misc]simplify: iters left: 6 (9 enodes) 1539417998.352 * * [misc]simplify: iters left: 5 (14 enodes) 1539417998.356 * * [misc]simplify: iters left: 4 (21 enodes) 1539417998.362 * * [misc]simplify: iters left: 3 (31 enodes) 1539417998.369 * * [misc]simplify: iters left: 2 (46 enodes) 1539417998.386 * * [misc]simplify: iters left: 1 (48 enodes) 1539417998.393 * [exit]simplify: Simplified to (+ (log (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1539417998.393 * [misc]simplify: Simplified (2 1) to (λ (N) (exp (+ (log (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))))) 1539417998.393 * * * * [misc]progress: [ 33 / 73 ] simplifiying candidate # 1539417998.393 * * * * [misc]progress: [ 34 / 73 ] simplifiying candidate # 1539417998.393 * * * * [misc]progress: [ 35 / 73 ] simplifiying candidate # 1539417998.394 * [enter]simplify: Simplifying (* (* (* (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))) (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))) (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))))) 1539417998.394 * * [misc]simplify: iters left: 6 (10 enodes) 1539417998.398 * * [misc]simplify: iters left: 5 (20 enodes) 1539417998.403 * * [misc]simplify: iters left: 4 (36 enodes) 1539417998.414 * * [misc]simplify: iters left: 3 (51 enodes) 1539417998.426 * * [misc]simplify: iters left: 2 (70 enodes) 1539417998.448 * * [misc]simplify: iters left: 1 (74 enodes) 1539417998.460 * [exit]simplify: Simplified to (pow (atan2 1 (+ (+ N 1) (* N N))) 3) 1539417998.460 * [misc]simplify: Simplified (2 1) to (λ (N) (cbrt (pow (atan2 1 (+ (+ N 1) (* N N))) 3))) 1539417998.460 * * * * [misc]progress: [ 36 / 73 ] simplifiying candidate # 1539417998.460 * * * * [misc]progress: [ 37 / 73 ] simplifiying candidate # 1539417998.460 * * * * [misc]progress: [ 38 / 73 ] simplifiying candidate # 1539417998.460 * [enter]simplify: Simplifying (* (atan2 1 (+ 1 (* (+ 1 N) N))) (atan2 1 (+ 1 (* (+ 1 N) N)))) 1539417998.460 * * [misc]simplify: iters left: 6 (7 enodes) 1539417998.462 * * [misc]simplify: iters left: 5 (12 enodes) 1539417998.466 * * [misc]simplify: iters left: 4 (19 enodes) 1539417998.472 * * [misc]simplify: iters left: 3 (29 enodes) 1539417998.479 * * [misc]simplify: iters left: 2 (45 enodes) 1539417998.495 * * [misc]simplify: iters left: 1 (46 enodes) 1539417998.500 * [exit]simplify: Simplified to (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N)))) 1539417998.501 * [misc]simplify: Simplified (2 1) to (λ (N) (sqrt (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N)))))) 1539417998.501 * * * * [misc]progress: [ 39 / 73 ] simplifiying candidate # 1539417998.501 * * * * [misc]progress: [ 40 / 73 ] simplifiying candidate # 1539417998.501 * [enter]simplify: Simplifying (+ 1 (* (+ 1 N) N)) 1539417998.501 * * [misc]simplify: iters left: 6 (5 enodes) 1539417998.503 * * [misc]simplify: iters left: 5 (10 enodes) 1539417998.505 * * [misc]simplify: iters left: 4 (17 enodes) 1539417998.511 * * [misc]simplify: iters left: 3 (27 enodes) 1539417998.517 * * [misc]simplify: iters left: 2 (42 enodes) 1539417998.525 * * [misc]simplify: iters left: 1 (43 enodes) 1539417998.528 * [exit]simplify: Simplified to (+ (+ N 1) (* N N)) 1539417998.529 * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ N 1) (* N N)))) 1539417998.529 * * * * [misc]progress: [ 41 / 73 ] simplifiying candidate # 1539417998.529 * * * * [misc]progress: [ 42 / 73 ] simplifiying candidate # 1539417998.529 * [enter]simplify: Simplifying (cbrt (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))) 1539417998.529 * * [misc]simplify: iters left: 6 (8 enodes) 1539417998.530 * * [misc]simplify: iters left: 5 (13 enodes) 1539417998.532 * * [misc]simplify: iters left: 4 (20 enodes) 1539417998.535 * * [misc]simplify: iters left: 3 (30 enodes) 1539417998.538 * * [misc]simplify: iters left: 2 (45 enodes) 1539417998.546 * * [misc]simplify: iters left: 1 (46 enodes) 1539417998.549 * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1539417998.549 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))))) 1539417998.549 * * * * [misc]progress: [ 43 / 73 ] simplifiying candidate # 1539417998.550 * [enter]simplify: Simplifying (sqrt (cbrt (atan2 1 (+ 1 (* (+ 1 N) N))))) 1539417998.550 * * [misc]simplify: iters left: 6 (8 enodes) 1539417998.551 * * [misc]simplify: iters left: 5 (13 enodes) 1539417998.552 * * [misc]simplify: iters left: 4 (20 enodes) 1539417998.555 * * [misc]simplify: iters left: 3 (30 enodes) 1539417998.559 * * [misc]simplify: iters left: 2 (45 enodes) 1539417998.567 * * [misc]simplify: iters left: 1 (46 enodes) 1539417998.570 * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1539417998.570 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (cbrt (atan2 1 (+ 1 (* (+ 1 N) N))))))) (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1))))))) 1539417998.570 * * * * [misc]progress: [ 44 / 73 ] simplifiying candidate # 1539417998.570 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))) 1539417998.570 * * [misc]simplify: iters left: 6 (8 enodes) 1539417998.571 * * [misc]simplify: iters left: 5 (13 enodes) 1539417998.573 * * [misc]simplify: iters left: 4 (20 enodes) 1539417998.576 * * [misc]simplify: iters left: 3 (30 enodes) 1539417998.579 * * [misc]simplify: iters left: 2 (45 enodes) 1539417998.587 * * [misc]simplify: iters left: 1 (46 enodes) 1539417998.590 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1539417998.590 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))))) (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))))) 1539417998.590 * * * * [misc]progress: [ 45 / 73 ] simplifiying candidate # 1539417998.591 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) 1539417998.591 * * [misc]simplify: iters left: 6 (7 enodes) 1539417998.592 * * [misc]simplify: iters left: 5 (12 enodes) 1539417998.593 * * [misc]simplify: iters left: 4 (19 enodes) 1539417998.597 * * [misc]simplify: iters left: 3 (29 enodes) 1539417998.600 * * [misc]simplify: iters left: 2 (45 enodes) 1539417998.608 * * [misc]simplify: iters left: 1 (46 enodes) 1539417998.611 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1539417998.611 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (sqrt 1)) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1539417998.611 * * * * [misc]progress: [ 46 / 73 ] simplifiying candidate # 1539417998.611 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))) 1539417998.611 * * [misc]simplify: iters left: 6 (8 enodes) 1539417998.612 * * [misc]simplify: iters left: 5 (13 enodes) 1539417998.614 * * [misc]simplify: iters left: 4 (20 enodes) 1539417998.619 * * [misc]simplify: iters left: 3 (30 enodes) 1539417998.626 * * [misc]simplify: iters left: 2 (45 enodes) 1539417998.642 * * [misc]simplify: iters left: 1 (46 enodes) 1539417998.649 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1539417998.649 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))))) (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))))) 1539417998.649 * * * * [misc]progress: [ 47 / 73 ] simplifiying candidate # 1539417998.649 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) 1539417998.649 * * [misc]simplify: iters left: 6 (7 enodes) 1539417998.651 * * [misc]simplify: iters left: 5 (12 enodes) 1539417998.654 * * [misc]simplify: iters left: 4 (19 enodes) 1539417998.661 * * [misc]simplify: iters left: 3 (29 enodes) 1539417998.668 * * [misc]simplify: iters left: 2 (45 enodes) 1539417998.683 * * [misc]simplify: iters left: 1 (46 enodes) 1539417998.689 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1539417998.690 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) 1) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1539417998.690 * * * * [misc]progress: [ 48 / 73 ] simplifiying candidate # 1539417998.690 * [enter]simplify: Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))))) 1539417998.690 * * [misc]simplify: iters left: 6 (9 enodes) 1539417998.693 * * [misc]simplify: iters left: 5 (14 enodes) 1539417998.697 * * [misc]simplify: iters left: 4 (21 enodes) 1539417998.704 * * [misc]simplify: iters left: 3 (31 enodes) 1539417998.707 * * [misc]simplify: iters left: 2 (46 enodes) 1539417998.716 * * [misc]simplify: iters left: 1 (48 enodes) 1539417998.720 * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1539417998.720 * [misc]simplify: Simplified (2 1) to (λ (N) (* (* (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))) (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))))) 1539417998.720 * * * * [misc]progress: [ 49 / 73 ] simplifiying candidate # 1539417998.720 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (cbrt (atan2 1 (+ 1 (* (+ 1 N) N)))))) 1539417998.720 * * [misc]simplify: iters left: 6 (9 enodes) 1539417998.721 * * [misc]simplify: iters left: 5 (15 enodes) 1539417998.723 * * [misc]simplify: iters left: 4 (22 enodes) 1539417998.727 * * [misc]simplify: iters left: 3 (32 enodes) 1539417998.730 * * [misc]simplify: iters left: 2 (48 enodes) 1539417998.741 * * [misc]simplify: iters left: 1 (49 enodes) 1539417998.746 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1539417998.746 * [misc]simplify: Simplified (2 1) to (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ 1 N) N))))) (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))))) 1539417998.746 * * * * [misc]progress: [ 50 / 73 ] simplifiying candidate # 1539417998.746 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))) 1539417998.746 * * [misc]simplify: iters left: 6 (8 enodes) 1539417998.747 * * [misc]simplify: iters left: 5 (13 enodes) 1539417998.749 * * [misc]simplify: iters left: 4 (20 enodes) 1539417998.752 * * [misc]simplify: iters left: 3 (30 enodes) 1539417998.755 * * [misc]simplify: iters left: 2 (45 enodes) 1539417998.763 * * [misc]simplify: iters left: 1 (46 enodes) 1539417998.766 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1539417998.766 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))) (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))))) 1539417998.766 * * * * [misc]progress: [ 51 / 73 ] simplifiying candidate # 1539417998.767 * [enter]simplify: Simplifying (sqrt 1) 1539417998.767 * * [misc]simplify: iters left: 1 (2 enodes) 1539417998.767 * [exit]simplify: Simplified to 1 1539417998.767 * [misc]simplify: Simplified (2 1) to (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))))) 1539417998.767 * * * * [misc]progress: [ 52 / 73 ] simplifiying candidate # 1539417998.768 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))) 1539417998.768 * * [misc]simplify: iters left: 6 (8 enodes) 1539417998.769 * * [misc]simplify: iters left: 5 (13 enodes) 1539417998.770 * * [misc]simplify: iters left: 4 (20 enodes) 1539417998.774 * * [misc]simplify: iters left: 3 (30 enodes) 1539417998.777 * * [misc]simplify: iters left: 2 (45 enodes) 1539417998.792 * * [misc]simplify: iters left: 1 (46 enodes) 1539417998.800 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1539417998.800 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))) (sqrt (atan2 1 (+ 1 (* (+ 1 N) N))))))) 1539417998.800 * * * * [misc]progress: [ 53 / 73 ] simplifiying candidate # 1539417998.800 * * * * [misc]progress: [ 54 / 73 ] simplifiying candidate # 1539417998.800 * * * * [misc]progress: [ 55 / 73 ] simplifiying candidate # 1539417998.800 * * * * [misc]progress: [ 56 / 73 ] simplifiying candidate # 1539417998.800 * * * * [misc]progress: [ 57 / 73 ] simplifiying candidate # 1539417998.800 * * * * [misc]progress: [ 58 / 73 ] simplifiying candidate # 1539417998.800 * * * * [misc]progress: [ 59 / 73 ] simplifiying candidate # 1539417998.800 * * * * [misc]progress: [ 60 / 73 ] simplifiying candidate # 1539417998.800 * * * * [misc]progress: [ 61 / 73 ] simplifiying candidate # 1539417998.800 * * * * [misc]progress: [ 62 / 73 ] simplifiying candidate # 1539417998.801 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1539417998.801 * * [misc]simplify: iters left: 6 (8 enodes) 1539417998.803 * * [misc]simplify: iters left: 5 (15 enodes) 1539417998.807 * * [misc]simplify: iters left: 4 (22 enodes) 1539417998.813 * * [misc]simplify: iters left: 3 (24 enodes) 1539417998.818 * * [misc]simplify: iters left: 2 (30 enodes) 1539417998.827 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1539417998.827 * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1539417998.827 * * * * [misc]progress: [ 63 / 73 ] simplifiying candidate # 1539417998.827 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1539417998.827 * * [misc]simplify: iters left: 6 (8 enodes) 1539417998.830 * * [misc]simplify: iters left: 5 (15 enodes) 1539417998.834 * * [misc]simplify: iters left: 4 (22 enodes) 1539417998.839 * * [misc]simplify: iters left: 3 (24 enodes) 1539417998.844 * * [misc]simplify: iters left: 2 (30 enodes) 1539417998.851 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1539417998.851 * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1539417998.851 * * * * [misc]progress: [ 64 / 73 ] simplifiying candidate # 1539417998.852 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1539417998.852 * * [misc]simplify: iters left: 6 (8 enodes) 1539417998.854 * * [misc]simplify: iters left: 5 (15 enodes) 1539417998.857 * * [misc]simplify: iters left: 4 (22 enodes) 1539417998.860 * * [misc]simplify: iters left: 3 (24 enodes) 1539417998.863 * * [misc]simplify: iters left: 2 (30 enodes) 1539417998.867 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1539417998.867 * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1539417998.867 * * * * [misc]progress: [ 65 / 73 ] simplifiying candidate # 1539417998.867 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1539417998.867 * * [misc]simplify: iters left: 6 (8 enodes) 1539417998.868 * * [misc]simplify: iters left: 5 (15 enodes) 1539417998.870 * * [misc]simplify: iters left: 4 (22 enodes) 1539417998.873 * * [misc]simplify: iters left: 3 (24 enodes) 1539417998.876 * * [misc]simplify: iters left: 2 (30 enodes) 1539417998.880 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1539417998.880 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))))) 1539417998.880 * * * * [misc]progress: [ 66 / 73 ] simplifiying candidate # 1539417998.880 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1539417998.880 * * [misc]simplify: iters left: 6 (8 enodes) 1539417998.881 * * [misc]simplify: iters left: 5 (15 enodes) 1539417998.883 * * [misc]simplify: iters left: 4 (22 enodes) 1539417998.886 * * [misc]simplify: iters left: 3 (24 enodes) 1539417998.888 * * [misc]simplify: iters left: 2 (30 enodes) 1539417998.892 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1539417998.892 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))))) 1539417998.892 * * * * [misc]progress: [ 67 / 73 ] simplifiying candidate # 1539417998.893 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1539417998.893 * * [misc]simplify: iters left: 6 (8 enodes) 1539417998.894 * * [misc]simplify: iters left: 5 (15 enodes) 1539417998.896 * * [misc]simplify: iters left: 4 (22 enodes) 1539417998.899 * * [misc]simplify: iters left: 3 (24 enodes) 1539417998.902 * * [misc]simplify: iters left: 2 (30 enodes) 1539417998.906 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1539417998.906 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))))) 1539417998.906 * * * * [misc]progress: [ 68 / 73 ] simplifiying candidate # 1539417998.906 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1539417998.906 * * [misc]simplify: iters left: 6 (7 enodes) 1539417998.907 * * [misc]simplify: iters left: 5 (14 enodes) 1539417998.909 * * [misc]simplify: iters left: 4 (21 enodes) 1539417998.912 * * [misc]simplify: iters left: 3 (23 enodes) 1539417998.914 * * [misc]simplify: iters left: 2 (29 enodes) 1539417998.918 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1539417998.918 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1539417998.918 * * * * [misc]progress: [ 69 / 73 ] simplifiying candidate # 1539417998.919 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1539417998.919 * * [misc]simplify: iters left: 6 (7 enodes) 1539417998.920 * * [misc]simplify: iters left: 5 (14 enodes) 1539417998.922 * * [misc]simplify: iters left: 4 (21 enodes) 1539417998.924 * * [misc]simplify: iters left: 3 (23 enodes) 1539417998.927 * * [misc]simplify: iters left: 2 (29 enodes) 1539417998.931 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1539417998.931 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1539417998.931 * * * * [misc]progress: [ 70 / 73 ] simplifiying candidate # 1539417998.931 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1539417998.931 * * [misc]simplify: iters left: 6 (7 enodes) 1539417998.932 * * [misc]simplify: iters left: 5 (14 enodes) 1539417998.934 * * [misc]simplify: iters left: 4 (21 enodes) 1539417998.936 * * [misc]simplify: iters left: 3 (23 enodes) 1539417998.939 * * [misc]simplify: iters left: 2 (29 enodes) 1539417998.943 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1539417998.943 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1539417998.943 * * * * [misc]progress: [ 71 / 73 ] simplifiying candidate # 1539417998.943 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1539417998.943 * * [misc]simplify: iters left: 6 (7 enodes) 1539417998.944 * * [misc]simplify: iters left: 5 (14 enodes) 1539417998.946 * * [misc]simplify: iters left: 4 (21 enodes) 1539417998.949 * * [misc]simplify: iters left: 3 (23 enodes) 1539417998.952 * * [misc]simplify: iters left: 2 (29 enodes) 1539417998.955 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1539417998.956 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1539417998.956 * * * * [misc]progress: [ 72 / 73 ] simplifiying candidate # 1539417998.956 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1539417998.956 * * [misc]simplify: iters left: 6 (7 enodes) 1539417998.957 * * [misc]simplify: iters left: 5 (14 enodes) 1539417998.959 * * [misc]simplify: iters left: 4 (21 enodes) 1539417998.961 * * [misc]simplify: iters left: 3 (23 enodes) 1539417998.964 * * [misc]simplify: iters left: 2 (29 enodes) 1539417998.969 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1539417998.969 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1539417998.969 * * * * [misc]progress: [ 73 / 73 ] simplifiying candidate # 1539417998.969 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1539417998.969 * * [misc]simplify: iters left: 6 (7 enodes) 1539417998.970 * * [misc]simplify: iters left: 5 (14 enodes) 1539417998.972 * * [misc]simplify: iters left: 4 (21 enodes) 1539417998.974 * * [misc]simplify: iters left: 3 (23 enodes) 1539417998.977 * * [misc]simplify: iters left: 2 (29 enodes) 1539417998.981 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1539417998.981 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ 1 N) N)))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1539417998.981 * * * [misc]progress: adding candidates to table 1539417999.583 * * [misc]progress: iteration 4 / 4 1539417999.583 * * * [misc]progress: picking best candidate 1539417999.594 * * * * [misc]pick: Picked # 1539417999.594 * * * [misc]progress: localizing error 1539417999.627 * * * [misc]progress: generating rewritten candidates 1539417999.627 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) 1539417999.627 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2) 1539417999.634 * * * [misc]progress: generating series expansions 1539417999.635 * * * * [misc]progress: [ 1 / 2 ] generating series at (2) 1539417999.635 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417999.635 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1539417999.635 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1539417999.635 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417999.635 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1539417999.635 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417999.635 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417999.635 * [misc]backup-simplify: Simplify 0 into 0 1539417999.635 * [misc]backup-simplify: Simplify 0 into 0 1539417999.635 * [misc]backup-simplify: Simplify 0 into 0 1539417999.635 * [misc]backup-simplify: Simplify 0 into 0 1539417999.635 * [misc]backup-simplify: Simplify 0 into 0 1539417999.635 * [misc]backup-simplify: Simplify 0 into 0 1539417999.635 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417999.636 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1539417999.636 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1539417999.636 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1539417999.636 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1539417999.636 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1539417999.636 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1539417999.636 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1539417999.636 * [misc]backup-simplify: Simplify 0 into 0 1539417999.636 * [misc]backup-simplify: Simplify 0 into 0 1539417999.636 * [misc]backup-simplify: Simplify 0 into 0 1539417999.636 * [misc]backup-simplify: Simplify 0 into 0 1539417999.636 * [misc]backup-simplify: Simplify 0 into 0 1539417999.636 * [misc]backup-simplify: Simplify 0 into 0 1539417999.636 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417999.636 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1539417999.636 * [misc]approximate: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1539417999.636 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1539417999.637 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1539417999.637 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1539417999.637 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1539417999.637 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1539417999.637 * [misc]backup-simplify: Simplify 0 into 0 1539417999.637 * [misc]backup-simplify: Simplify 0 into 0 1539417999.637 * [misc]backup-simplify: Simplify 0 into 0 1539417999.637 * [misc]backup-simplify: Simplify 0 into 0 1539417999.637 * [misc]backup-simplify: Simplify 0 into 0 1539417999.637 * [misc]backup-simplify: Simplify 0 into 0 1539417999.637 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1539417999.637 * * * * [misc]progress: [ 2 / 2 ] generating series at (2 2) 1539417999.637 * [misc]backup-simplify: Simplify (+ N (+ (pow N 2) 1)) into (+ N (+ (pow N 2) 1)) 1539417999.637 * [misc]approximate: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in (N) around 0 1539417999.637 * [misc]taylor: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N 1539417999.637 * [misc]taylor: Taking taylor expansion of N in N 1539417999.637 * [misc]backup-simplify: Simplify 0 into 0 1539417999.637 * [misc]backup-simplify: Simplify 1 into 1 1539417999.637 * [misc]taylor: Taking taylor expansion of (+ (pow N 2) 1) in N 1539417999.637 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1539417999.637 * [misc]taylor: Taking taylor expansion of N in N 1539417999.637 * [misc]backup-simplify: Simplify 0 into 0 1539417999.637 * [misc]backup-simplify: Simplify 1 into 1 1539417999.637 * [misc]taylor: Taking taylor expansion of 1 in N 1539417999.637 * [misc]backup-simplify: Simplify 1 into 1 1539417999.637 * [misc]taylor: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N 1539417999.637 * [misc]taylor: Taking taylor expansion of N in N 1539417999.638 * [misc]backup-simplify: Simplify 0 into 0 1539417999.638 * [misc]backup-simplify: Simplify 1 into 1 1539417999.638 * [misc]taylor: Taking taylor expansion of (+ (pow N 2) 1) in N 1539417999.638 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1539417999.638 * [misc]taylor: Taking taylor expansion of N in N 1539417999.638 * [misc]backup-simplify: Simplify 0 into 0 1539417999.638 * [misc]backup-simplify: Simplify 1 into 1 1539417999.638 * [misc]taylor: Taking taylor expansion of 1 in N 1539417999.638 * [misc]backup-simplify: Simplify 1 into 1 1539417999.638 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1539417999.638 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1539417999.638 * [misc]backup-simplify: Simplify 1 into 1 1539417999.638 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417999.638 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1539417999.638 * [misc]backup-simplify: Simplify 1 into 1 1539417999.638 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539417999.638 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1539417999.639 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1539417999.639 * [misc]backup-simplify: Simplify 1 into 1 1539417999.639 * [misc]backup-simplify: Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1)) 1539417999.639 * [misc]backup-simplify: Simplify (+ (/ 1 N) (+ (pow (/ 1 N) 2) 1)) into (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 1539417999.639 * [misc]approximate: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in (N) around 0 1539417999.639 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in N 1539417999.639 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1539417999.639 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1539417999.639 * [misc]taylor: Taking taylor expansion of N in N 1539417999.639 * [misc]backup-simplify: Simplify 0 into 0 1539417999.639 * [misc]backup-simplify: Simplify 1 into 1 1539417999.639 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539417999.639 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539417999.639 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1539417999.639 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1539417999.639 * [misc]taylor: Taking taylor expansion of N in N 1539417999.639 * [misc]backup-simplify: Simplify 0 into 0 1539417999.639 * [misc]backup-simplify: Simplify 1 into 1 1539417999.639 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539417999.639 * [misc]taylor: Taking taylor expansion of 1 in N 1539417999.639 * [misc]backup-simplify: Simplify 1 into 1 1539417999.639 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in N 1539417999.639 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1539417999.639 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1539417999.639 * [misc]taylor: Taking taylor expansion of N in N 1539417999.640 * [misc]backup-simplify: Simplify 0 into 0 1539417999.640 * [misc]backup-simplify: Simplify 1 into 1 1539417999.640 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539417999.640 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539417999.640 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1539417999.640 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1539417999.640 * [misc]taylor: Taking taylor expansion of N in N 1539417999.640 * [misc]backup-simplify: Simplify 0 into 0 1539417999.640 * [misc]backup-simplify: Simplify 1 into 1 1539417999.640 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539417999.640 * [misc]taylor: Taking taylor expansion of 1 in N 1539417999.640 * [misc]backup-simplify: Simplify 1 into 1 1539417999.640 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1539417999.640 * [misc]backup-simplify: Simplify 1 into 1 1539417999.640 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1539417999.640 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1539417999.641 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1539417999.641 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1539417999.641 * [misc]backup-simplify: Simplify 1 into 1 1539417999.641 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1539417999.643 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539417999.643 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1539417999.643 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1539417999.644 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1539417999.644 * [misc]backup-simplify: Simplify 1 into 1 1539417999.644 * [misc]backup-simplify: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1)) 1539417999.644 * [misc]backup-simplify: Simplify (+ (/ 1 (- N)) (+ (pow (/ 1 (- N)) 2) 1)) into (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 1539417999.644 * [misc]approximate: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in (N) around 0 1539417999.644 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in N 1539417999.644 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 1539417999.644 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1539417999.644 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1539417999.644 * [misc]taylor: Taking taylor expansion of N in N 1539417999.644 * [misc]backup-simplify: Simplify 0 into 0 1539417999.644 * [misc]backup-simplify: Simplify 1 into 1 1539417999.644 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539417999.644 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539417999.644 * [misc]taylor: Taking taylor expansion of 1 in N 1539417999.644 * [misc]backup-simplify: Simplify 1 into 1 1539417999.644 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1539417999.644 * [misc]taylor: Taking taylor expansion of N in N 1539417999.644 * [misc]backup-simplify: Simplify 0 into 0 1539417999.644 * [misc]backup-simplify: Simplify 1 into 1 1539417999.645 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539417999.645 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in N 1539417999.645 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 1539417999.645 * [misc]taylor: Taking taylor expansion of (/ 1 (pow N 2)) in N 1539417999.645 * [misc]taylor: Taking taylor expansion of (pow N 2) in N 1539417999.645 * [misc]taylor: Taking taylor expansion of N in N 1539417999.645 * [misc]backup-simplify: Simplify 0 into 0 1539417999.645 * [misc]backup-simplify: Simplify 1 into 1 1539417999.645 * [misc]backup-simplify: Simplify (* 1 1) into 1 1539417999.645 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539417999.645 * [misc]taylor: Taking taylor expansion of 1 in N 1539417999.645 * [misc]backup-simplify: Simplify 1 into 1 1539417999.645 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1539417999.645 * [misc]taylor: Taking taylor expansion of N in N 1539417999.645 * [misc]backup-simplify: Simplify 0 into 0 1539417999.645 * [misc]backup-simplify: Simplify 1 into 1 1539417999.645 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539417999.645 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1539417999.645 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1539417999.645 * [misc]backup-simplify: Simplify 1 into 1 1539417999.645 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1539417999.646 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1539417999.646 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539417999.646 * [misc]backup-simplify: Simplify (- 1) into -1 1539417999.646 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1539417999.646 * [misc]backup-simplify: Simplify -1 into -1 1539417999.646 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1539417999.646 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539417999.646 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1539417999.647 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1539417999.647 * [misc]backup-simplify: Simplify (- 0) into 0 1539417999.647 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1539417999.647 * [misc]backup-simplify: Simplify 1 into 1 1539417999.647 * [misc]backup-simplify: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1)) 1539417999.647 * * * [misc]progress: simplifying candidates 1539417999.647 * * * * [misc]progress: [ 1 / 24 ] simplifiying candidate # 1539417999.647 * * * * [misc]progress: [ 2 / 24 ] simplifiying candidate # 1539417999.647 * * * * [misc]progress: [ 3 / 24 ] simplifiying candidate # 1539417999.647 * * * * [misc]progress: [ 4 / 24 ] simplifiying candidate # 1539417999.647 * * * * [misc]progress: [ 5 / 24 ] simplifiying candidate # 1539417999.647 * * * * [misc]progress: [ 6 / 24 ] simplifiying candidate # 1539417999.647 * * * * [misc]progress: [ 7 / 24 ] simplifiying candidate # 1539417999.647 * * * * [misc]progress: [ 8 / 24 ] simplifiying candidate # 1539417999.647 * * * * [misc]progress: [ 9 / 24 ] simplifiying candidate # 1539417999.647 * * * * [misc]progress: [ 10 / 24 ] simplifiying candidate # 1539417999.647 * * * * [misc]progress: [ 11 / 24 ] simplifiying candidate # 1539417999.648 * * * * [misc]progress: [ 12 / 24 ] simplifiying candidate # 1539417999.648 * * * * [misc]progress: [ 13 / 24 ] simplifiying candidate # 1539417999.648 * * * * [misc]progress: [ 14 / 24 ] simplifiying candidate # 1539417999.648 * * * * [misc]progress: [ 15 / 24 ] simplifiying candidate # 1539417999.648 * * * * [misc]progress: [ 16 / 24 ] simplifiying candidate # 1539417999.648 * * * * [misc]progress: [ 17 / 24 ] simplifiying candidate # 1539417999.648 * * * * [misc]progress: [ 18 / 24 ] simplifiying candidate # 1539417999.648 * * * * [misc]progress: [ 19 / 24 ] simplifiying candidate # 1539417999.648 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1539417999.648 * * [misc]simplify: iters left: 6 (7 enodes) 1539417999.649 * * [misc]simplify: iters left: 5 (14 enodes) 1539417999.651 * * [misc]simplify: iters left: 4 (21 enodes) 1539417999.653 * * [misc]simplify: iters left: 3 (23 enodes) 1539417999.656 * * [misc]simplify: iters left: 2 (29 enodes) 1539417999.660 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1539417999.660 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1539417999.660 * * * * [misc]progress: [ 20 / 24 ] simplifiying candidate # 1539417999.660 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1539417999.660 * * [misc]simplify: iters left: 6 (7 enodes) 1539417999.661 * * [misc]simplify: iters left: 5 (14 enodes) 1539417999.663 * * [misc]simplify: iters left: 4 (21 enodes) 1539417999.666 * * [misc]simplify: iters left: 3 (23 enodes) 1539417999.668 * * [misc]simplify: iters left: 2 (29 enodes) 1539417999.674 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1539417999.674 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1539417999.674 * * * * [misc]progress: [ 21 / 24 ] simplifiying candidate # 1539417999.674 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1539417999.674 * * [misc]simplify: iters left: 6 (7 enodes) 1539417999.676 * * [misc]simplify: iters left: 5 (14 enodes) 1539417999.680 * * [misc]simplify: iters left: 4 (21 enodes) 1539417999.685 * * [misc]simplify: iters left: 3 (23 enodes) 1539417999.691 * * [misc]simplify: iters left: 2 (29 enodes) 1539417999.699 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1539417999.699 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1539417999.699 * * * * [misc]progress: [ 22 / 24 ] simplifiying candidate # 1539417999.699 * [enter]simplify: Simplifying (+ N (+ (pow N 2) 1)) 1539417999.699 * * [misc]simplify: iters left: 5 (6 enodes) 1539417999.701 * * [misc]simplify: iters left: 4 (13 enodes) 1539417999.705 * * [misc]simplify: iters left: 3 (20 enodes) 1539417999.710 * * [misc]simplify: iters left: 2 (22 enodes) 1539417999.715 * * [misc]simplify: iters left: 1 (28 enodes) 1539417999.719 * [exit]simplify: Simplified to (+ (+ 1 N) (* N N)) 1539417999.719 * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ 1 N) (* N N)))) 1539417999.719 * * * * [misc]progress: [ 23 / 24 ] simplifiying candidate # 1539417999.719 * [enter]simplify: Simplifying (+ N (+ (pow N 2) 1)) 1539417999.719 * * [misc]simplify: iters left: 5 (6 enodes) 1539417999.720 * * [misc]simplify: iters left: 4 (13 enodes) 1539417999.722 * * [misc]simplify: iters left: 3 (20 enodes) 1539417999.724 * * [misc]simplify: iters left: 2 (22 enodes) 1539417999.726 * * [misc]simplify: iters left: 1 (28 enodes) 1539417999.730 * [exit]simplify: Simplified to (+ (+ 1 N) (* N N)) 1539417999.730 * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ 1 N) (* N N)))) 1539417999.730 * * * * [misc]progress: [ 24 / 24 ] simplifiying candidate # 1539417999.730 * [enter]simplify: Simplifying (+ N (+ (pow N 2) 1)) 1539417999.730 * * [misc]simplify: iters left: 5 (6 enodes) 1539417999.731 * * [misc]simplify: iters left: 4 (13 enodes) 1539417999.733 * * [misc]simplify: iters left: 3 (20 enodes) 1539417999.736 * * [misc]simplify: iters left: 2 (22 enodes) 1539417999.738 * * [misc]simplify: iters left: 1 (28 enodes) 1539417999.743 * [exit]simplify: Simplified to (+ (+ 1 N) (* N N)) 1539417999.743 * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ 1 N) (* N N)))) 1539417999.743 * * * [misc]progress: adding candidates to table 1539417999.957 * [misc]progress: [Phase 3 of 3] Extracting. 1539417999.957 * * [misc]regime: Finding splitpoints for: (# # # # # # #) 1539417999.958 * * * [misc]regime-changes: Trying 1 branch expressions: (N) 1539417999.959 * * * * [misc]regimes: Trying to branch on N from (# # # # # # #) 1539418000.022 * * * [misc]regime: Found split indices: #