1547109430.136 * [misc]progress: [Phase 1 of 3] Setting up. 1547109430.136 * * * [misc]progress: [1/2] Preparing points 1547109430.136 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1547109430.195 * * * * [misc]points: Filtering points with unrepresentable outputs 1547109430.195 * * * * [exit]points: Sampled 256 points with exact outputs 1547109430.196 * * * [misc]progress: [2/2] Setting up program. 1547109430.200 * [misc]progress: [Phase 2 of 3] Improving. 1547109430.200 * * * * [misc]progress: [ 1 / 1 ] simplifiying candidate # 1547109430.201 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1547109430.201 * * [misc]simplify: iters left: 5 (6 enodes) 1547109430.202 * * [misc]simplify: iters left: 4 (11 enodes) 1547109430.205 * * [misc]simplify: iters left: 3 (12 enodes) 1547109430.207 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1547109430.207 * [misc]simplify: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1547109430.212 * * [misc]progress: iteration 1 / 4 1547109430.212 * * * [misc]progress: picking best candidate 1547109430.216 * * * * [misc]pick: Picked # 1547109430.216 * * * [misc]progress: localizing error 1547109430.237 * * * [misc]progress: generating rewritten candidates 1547109430.237 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) 1547109430.244 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) 1547109430.245 * * * [misc]progress: generating series expansions 1547109430.245 * * * * [misc]progress: [ 1 / 2 ] generating series at (2) 1547109430.245 * [misc]backup-simplify: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 1547109430.245 * [misc]approximate: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 1547109430.245 * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 1547109430.245 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N 1547109430.245 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1547109430.246 * [misc]taylor: Taking taylor expansion of (atan N) in N 1547109430.246 * [misc]backup-simplify: Simplify (atan N) into (atan N) 1547109430.246 * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 1547109430.246 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N 1547109430.246 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1547109430.246 * [misc]taylor: Taking taylor expansion of (atan N) in N 1547109430.246 * [misc]backup-simplify: Simplify (atan N) into (atan N) 1547109430.246 * [misc]backup-simplify: Simplify (- (atan N)) into (- (atan N)) 1547109430.246 * [misc]backup-simplify: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 1547109430.246 * [misc]backup-simplify: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 1547109430.246 * [misc]backup-simplify: Simplify (- 0) into 0 1547109430.247 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.247 * [misc]backup-simplify: Simplify 0 into 0 1547109430.247 * [misc]backup-simplify: Simplify (- 0) into 0 1547109430.247 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.247 * [misc]backup-simplify: Simplify 0 into 0 1547109430.247 * [misc]backup-simplify: Simplify (- 0) into 0 1547109430.247 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.247 * [misc]backup-simplify: Simplify 0 into 0 1547109430.248 * [misc]backup-simplify: Simplify (- 0) into 0 1547109430.248 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.248 * [misc]backup-simplify: Simplify 0 into 0 1547109430.248 * [misc]backup-simplify: Simplify (- 0) into 0 1547109430.248 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.248 * [misc]backup-simplify: Simplify 0 into 0 1547109430.248 * [misc]backup-simplify: Simplify (- 0) into 0 1547109430.248 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.248 * [misc]backup-simplify: Simplify 0 into 0 1547109430.249 * [misc]backup-simplify: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 1547109430.249 * [misc]backup-simplify: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 1547109430.249 * [misc]approximate: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 1547109430.249 * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 1547109430.249 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 1547109430.249 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1547109430.249 * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N 1547109430.249 * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 1547109430.249 * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 1547109430.249 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 1547109430.249 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1547109430.249 * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N 1547109430.250 * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 1547109430.250 * [misc]backup-simplify: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 1547109430.250 * [misc]backup-simplify: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 1547109430.250 * [misc]backup-simplify: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 1547109430.250 * [misc]backup-simplify: Simplify (- 0) into 0 1547109430.250 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.251 * [misc]backup-simplify: Simplify 0 into 0 1547109430.251 * [misc]backup-simplify: Simplify (- 0) into 0 1547109430.251 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.251 * [misc]backup-simplify: Simplify 0 into 0 1547109430.251 * [misc]backup-simplify: Simplify (- 0) into 0 1547109430.251 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.251 * [misc]backup-simplify: Simplify 0 into 0 1547109430.252 * [misc]backup-simplify: Simplify (- 0) into 0 1547109430.252 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.252 * [misc]backup-simplify: Simplify 0 into 0 1547109430.252 * [misc]backup-simplify: Simplify (- 0) into 0 1547109430.252 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.252 * [misc]backup-simplify: Simplify 0 into 0 1547109430.252 * [misc]backup-simplify: Simplify (- 0) into 0 1547109430.252 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.253 * [misc]backup-simplify: Simplify 0 into 0 1547109430.253 * [misc]backup-simplify: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 1547109430.253 * [misc]backup-simplify: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 1547109430.253 * [misc]approximate: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 1547109430.253 * [misc]taylor: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 1547109430.253 * [misc]taylor: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 1547109430.253 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1547109430.253 * [misc]taylor: Taking taylor expansion of (atan (/ -1 N)) in N 1547109430.253 * [misc]backup-simplify: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 1547109430.253 * [misc]taylor: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 1547109430.253 * [misc]taylor: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 1547109430.253 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1547109430.253 * [misc]taylor: Taking taylor expansion of (atan (/ -1 N)) in N 1547109430.253 * [misc]backup-simplify: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 1547109430.253 * [misc]backup-simplify: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 1547109430.253 * [misc]backup-simplify: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 1547109430.253 * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 1547109430.254 * [misc]backup-simplify: Simplify (- 0) into 0 1547109430.254 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.254 * [misc]backup-simplify: Simplify 0 into 0 1547109430.254 * [misc]backup-simplify: Simplify (- 0) into 0 1547109430.254 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.254 * [misc]backup-simplify: Simplify 0 into 0 1547109430.254 * [misc]backup-simplify: Simplify (- 0) into 0 1547109430.254 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.254 * [misc]backup-simplify: Simplify 0 into 0 1547109430.254 * [misc]backup-simplify: Simplify (- 0) into 0 1547109430.254 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.254 * [misc]backup-simplify: Simplify 0 into 0 1547109430.254 * [misc]backup-simplify: Simplify (- 0) into 0 1547109430.255 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.255 * [misc]backup-simplify: Simplify 0 into 0 1547109430.255 * [misc]backup-simplify: Simplify (- 0) into 0 1547109430.255 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.255 * [misc]backup-simplify: Simplify 0 into 0 1547109430.255 * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 1547109430.255 * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) 1547109430.255 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1547109430.255 * [misc]approximate: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 1547109430.255 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N 1547109430.255 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1547109430.255 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N 1547109430.255 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1547109430.255 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1547109430.255 * [misc]backup-simplify: Simplify 0 into 0 1547109430.255 * [misc]backup-simplify: Simplify 0 into 0 1547109430.255 * [misc]backup-simplify: Simplify 0 into 0 1547109430.255 * [misc]backup-simplify: Simplify 0 into 0 1547109430.255 * [misc]backup-simplify: Simplify 0 into 0 1547109430.255 * [misc]backup-simplify: Simplify 0 into 0 1547109430.255 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1547109430.256 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1547109430.256 * [misc]approximate: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 1547109430.256 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 1547109430.256 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1547109430.256 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 1547109430.256 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1547109430.256 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1547109430.256 * [misc]backup-simplify: Simplify 0 into 0 1547109430.256 * [misc]backup-simplify: Simplify 0 into 0 1547109430.256 * [misc]backup-simplify: Simplify 0 into 0 1547109430.256 * [misc]backup-simplify: Simplify 0 into 0 1547109430.256 * [misc]backup-simplify: Simplify 0 into 0 1547109430.256 * [misc]backup-simplify: Simplify 0 into 0 1547109430.256 * [misc]backup-simplify: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) 1547109430.256 * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) 1547109430.256 * [misc]approximate: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0 1547109430.256 * [misc]taylor: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 1547109430.256 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1547109430.256 * [misc]taylor: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 1547109430.256 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1547109430.256 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1547109430.256 * [misc]backup-simplify: Simplify 0 into 0 1547109430.256 * [misc]backup-simplify: Simplify 0 into 0 1547109430.256 * [misc]backup-simplify: Simplify 0 into 0 1547109430.256 * [misc]backup-simplify: Simplify 0 into 0 1547109430.257 * [misc]backup-simplify: Simplify 0 into 0 1547109430.257 * [misc]backup-simplify: Simplify 0 into 0 1547109430.257 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) 1547109430.257 * * * [misc]progress: simplifying candidates 1547109430.257 * * * * [misc]progress: [ 1 / 28 ] simplifiying candidate # 1547109430.257 * [enter]simplify: Simplifying (- (+ N 1) N) 1547109430.257 * * [misc]simplify: iters left: 4 (4 enodes) 1547109430.258 * * [misc]simplify: iters left: 3 (11 enodes) 1547109430.259 * * [misc]simplify: iters left: 2 (19 enodes) 1547109430.263 * * [misc]simplify: iters left: 1 (25 enodes) 1547109430.265 * [exit]simplify: Simplified to 1 1547109430.265 * [misc]simplify: Simplified (2 1) to (λ (N) (atan2 1 (+ 1 (* (+ N 1) N)))) 1547109430.265 * [enter]simplify: Simplifying (+ 1 (* (+ N 1) N)) 1547109430.265 * * [misc]simplify: iters left: 6 (5 enodes) 1547109430.266 * * [misc]simplify: iters left: 5 (10 enodes) 1547109430.267 * * [misc]simplify: iters left: 4 (17 enodes) 1547109430.270 * * [misc]simplify: iters left: 3 (27 enodes) 1547109430.273 * * [misc]simplify: iters left: 2 (42 enodes) 1547109430.289 * * [misc]simplify: iters left: 1 (43 enodes) 1547109430.295 * [exit]simplify: Simplified to (+ (+ N 1) (* N N)) 1547109430.295 * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ N 1) (* N N)))) 1547109430.295 * * * * [misc]progress: [ 2 / 28 ] simplifiying candidate # 1547109430.295 * [enter]simplify: Simplifying (/ (exp (atan (+ N 1))) (exp (atan N))) 1547109430.295 * * [misc]simplify: iters left: 6 (8 enodes) 1547109430.298 * * [misc]simplify: iters left: 5 (13 enodes) 1547109430.301 * * [misc]simplify: iters left: 4 (15 enodes) 1547109430.304 * * [misc]simplify: iters left: 3 (18 enodes) 1547109430.308 * * [misc]simplify: iters left: 2 (20 enodes) 1547109430.313 * * [misc]simplify: iters left: 1 (24 enodes) 1547109430.318 * [exit]simplify: Simplified to (exp (- (atan (+ 1 N)) (atan N))) 1547109430.319 * [misc]simplify: Simplified (2 1) to (λ (N) (log (exp (- (atan (+ 1 N)) (atan N))))) 1547109430.319 * * * * [misc]progress: [ 3 / 28 ] simplifiying candidate # 1547109430.319 * * * * [misc]progress: [ 4 / 28 ] simplifiying candidate # 1547109430.319 * * * * [misc]progress: [ 5 / 28 ] simplifiying candidate # 1547109430.319 * * * * [misc]progress: [ 6 / 28 ] simplifiying candidate # 1547109430.319 * * * * [misc]progress: [ 7 / 28 ] simplifiying candidate # 1547109430.319 * * * * [misc]progress: [ 8 / 28 ] simplifiying candidate # 1547109430.319 * * * * [misc]progress: [ 9 / 28 ] simplifiying candidate # 1547109430.319 * * * * [misc]progress: [ 10 / 28 ] simplifiying candidate # 1547109430.319 * * * * [misc]progress: [ 11 / 28 ] simplifiying candidate # 1547109430.319 * * * * [misc]progress: [ 12 / 28 ] simplifiying candidate # 1547109430.319 * * * * [misc]progress: [ 13 / 28 ] simplifiying candidate # 1547109430.319 * [enter]simplify: Simplifying (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) 1547109430.319 * * [misc]simplify: iters left: 6 (8 enodes) 1547109430.321 * * [misc]simplify: iters left: 5 (12 enodes) 1547109430.324 * [exit]simplify: Simplified to (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) 1547109430.324 * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) (- (sqrt (atan (+ N 1))) (sqrt (atan N))))) 1547109430.324 * [enter]simplify: Simplifying (- (sqrt (atan (+ N 1))) (sqrt (atan N))) 1547109430.325 * * [misc]simplify: iters left: 6 (8 enodes) 1547109430.327 * * [misc]simplify: iters left: 5 (13 enodes) 1547109430.329 * * [misc]simplify: iters left: 4 (14 enodes) 1547109430.333 * [exit]simplify: Simplified to (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) 1547109430.333 * [misc]simplify: Simplified (2 2) to (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N))))) 1547109430.333 * * * * [misc]progress: [ 14 / 28 ] simplifiying candidate # 1547109430.333 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1547109430.333 * * [misc]simplify: iters left: 5 (6 enodes) 1547109430.335 * * [misc]simplify: iters left: 4 (11 enodes) 1547109430.337 * * [misc]simplify: iters left: 3 (12 enodes) 1547109430.340 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1547109430.340 * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (atan (+ 1 N)) (atan N)))) 1547109430.340 * * * * [misc]progress: [ 15 / 28 ] simplifiying candidate # 1547109430.340 * * * * [misc]progress: [ 16 / 28 ] simplifiying candidate # 1547109430.340 * * * * [misc]progress: [ 17 / 28 ] simplifiying candidate # 1547109430.340 * * * * [misc]progress: [ 18 / 28 ] simplifiying candidate # 1547109430.340 * * * * [misc]progress: [ 19 / 28 ] simplifiying candidate # 1547109430.340 * * * * [misc]progress: [ 20 / 28 ] simplifiying candidate # 1547109430.340 * * * * [misc]progress: [ 21 / 28 ] simplifiying candidate # 1547109430.340 * * * * [misc]progress: [ 22 / 28 ] simplifiying candidate # 1547109430.340 * * * * [misc]progress: [ 23 / 28 ] simplifiying candidate # 1547109430.341 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1547109430.341 * * [misc]simplify: iters left: 5 (6 enodes) 1547109430.342 * * [misc]simplify: iters left: 4 (11 enodes) 1547109430.345 * * [misc]simplify: iters left: 3 (12 enodes) 1547109430.348 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1547109430.348 * [misc]simplify: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1547109430.348 * * * * [misc]progress: [ 24 / 28 ] simplifiying candidate # 1547109430.348 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1547109430.348 * * [misc]simplify: iters left: 5 (6 enodes) 1547109430.350 * * [misc]simplify: iters left: 4 (11 enodes) 1547109430.352 * * [misc]simplify: iters left: 3 (12 enodes) 1547109430.355 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1547109430.355 * [misc]simplify: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1547109430.355 * * * * [misc]progress: [ 25 / 28 ] simplifiying candidate # 1547109430.355 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1547109430.355 * * [misc]simplify: iters left: 5 (6 enodes) 1547109430.357 * * [misc]simplify: iters left: 4 (11 enodes) 1547109430.359 * * [misc]simplify: iters left: 3 (12 enodes) 1547109430.362 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1547109430.362 * [misc]simplify: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1547109430.362 * * * * [misc]progress: [ 26 / 28 ] simplifiying candidate # 1547109430.363 * [enter]simplify: Simplifying (atan (+ N 1)) 1547109430.363 * * [misc]simplify: iters left: 3 (4 enodes) 1547109430.364 * * [misc]simplify: iters left: 2 (7 enodes) 1547109430.365 * [exit]simplify: Simplified to (atan (+ 1 N)) 1547109430.365 * [misc]simplify: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1547109430.365 * * * * [misc]progress: [ 27 / 28 ] simplifiying candidate # 1547109430.366 * [enter]simplify: Simplifying (atan (+ N 1)) 1547109430.366 * * [misc]simplify: iters left: 3 (4 enodes) 1547109430.367 * * [misc]simplify: iters left: 2 (7 enodes) 1547109430.368 * [exit]simplify: Simplified to (atan (+ 1 N)) 1547109430.368 * [misc]simplify: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1547109430.368 * * * * [misc]progress: [ 28 / 28 ] simplifiying candidate # 1547109430.368 * [enter]simplify: Simplifying (atan (+ N 1)) 1547109430.368 * * [misc]simplify: iters left: 3 (4 enodes) 1547109430.369 * * [misc]simplify: iters left: 2 (7 enodes) 1547109430.371 * [exit]simplify: Simplified to (atan (+ 1 N)) 1547109430.371 * [misc]simplify: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1547109430.371 * * * [misc]progress: adding candidates to table 1547109430.567 * * [misc]progress: iteration 2 / 4 1547109430.567 * * * [misc]progress: picking best candidate 1547109430.569 * * * * [misc]pick: Picked # 1547109430.569 * * * [misc]progress: localizing error 1547109430.577 * * * [misc]progress: generating rewritten candidates 1547109430.577 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) 1547109430.577 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2 2) 1547109430.580 * * * [misc]progress: generating series expansions 1547109430.580 * * * * [misc]progress: [ 1 / 2 ] generating series at (2) 1547109430.580 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109430.580 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1547109430.580 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1547109430.580 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109430.580 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1547109430.580 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109430.581 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109430.581 * [misc]backup-simplify: Simplify 0 into 0 1547109430.581 * [misc]backup-simplify: Simplify 0 into 0 1547109430.581 * [misc]backup-simplify: Simplify 0 into 0 1547109430.581 * [misc]backup-simplify: Simplify 0 into 0 1547109430.581 * [misc]backup-simplify: Simplify 0 into 0 1547109430.581 * [misc]backup-simplify: Simplify 0 into 0 1547109430.581 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109430.581 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1547109430.581 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1547109430.581 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1547109430.581 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1547109430.581 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1547109430.581 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1547109430.581 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1547109430.581 * [misc]backup-simplify: Simplify 0 into 0 1547109430.581 * [misc]backup-simplify: Simplify 0 into 0 1547109430.582 * [misc]backup-simplify: Simplify 0 into 0 1547109430.582 * [misc]backup-simplify: Simplify 0 into 0 1547109430.582 * [misc]backup-simplify: Simplify 0 into 0 1547109430.582 * [misc]backup-simplify: Simplify 0 into 0 1547109430.582 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109430.582 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1547109430.582 * [misc]approximate: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1547109430.582 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1547109430.582 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1547109430.582 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1547109430.582 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1547109430.582 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1547109430.582 * [misc]backup-simplify: Simplify 0 into 0 1547109430.582 * [misc]backup-simplify: Simplify 0 into 0 1547109430.582 * [misc]backup-simplify: Simplify 0 into 0 1547109430.582 * [misc]backup-simplify: Simplify 0 into 0 1547109430.582 * [misc]backup-simplify: Simplify 0 into 0 1547109430.582 * [misc]backup-simplify: Simplify 0 into 0 1547109430.583 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109430.583 * * * * [misc]progress: [ 2 / 2 ] generating series at (2 2 2) 1547109430.583 * [misc]backup-simplify: Simplify (* (+ N 1) N) into (* (+ N 1) N) 1547109430.583 * [misc]approximate: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 1547109430.583 * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N 1547109430.583 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1547109430.583 * [misc]taylor: Taking taylor expansion of N in N 1547109430.583 * [misc]backup-simplify: Simplify 0 into 0 1547109430.583 * [misc]backup-simplify: Simplify 1 into 1 1547109430.583 * [misc]taylor: Taking taylor expansion of 1 in N 1547109430.583 * [misc]backup-simplify: Simplify 1 into 1 1547109430.583 * [misc]taylor: Taking taylor expansion of N in N 1547109430.583 * [misc]backup-simplify: Simplify 0 into 0 1547109430.583 * [misc]backup-simplify: Simplify 1 into 1 1547109430.583 * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N 1547109430.583 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1547109430.583 * [misc]taylor: Taking taylor expansion of N in N 1547109430.583 * [misc]backup-simplify: Simplify 0 into 0 1547109430.583 * [misc]backup-simplify: Simplify 1 into 1 1547109430.583 * [misc]taylor: Taking taylor expansion of 1 in N 1547109430.583 * [misc]backup-simplify: Simplify 1 into 1 1547109430.583 * [misc]taylor: Taking taylor expansion of N in N 1547109430.583 * [misc]backup-simplify: Simplify 0 into 0 1547109430.583 * [misc]backup-simplify: Simplify 1 into 1 1547109430.583 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1547109430.583 * [misc]backup-simplify: Simplify (* 1 0) into 0 1547109430.583 * [misc]backup-simplify: Simplify 0 into 0 1547109430.584 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1547109430.584 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 1547109430.584 * [misc]backup-simplify: Simplify 1 into 1 1547109430.584 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.584 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 1547109430.584 * [misc]backup-simplify: Simplify 1 into 1 1547109430.584 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.584 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1547109430.584 * [misc]backup-simplify: Simplify 0 into 0 1547109430.584 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.585 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1547109430.585 * [misc]backup-simplify: Simplify 0 into 0 1547109430.585 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.585 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1547109430.585 * [misc]backup-simplify: Simplify 0 into 0 1547109430.585 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.585 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1547109430.585 * [misc]backup-simplify: Simplify 0 into 0 1547109430.586 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.586 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1547109430.586 * [misc]backup-simplify: Simplify 0 into 0 1547109430.586 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.586 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 1547109430.586 * [misc]backup-simplify: Simplify 0 into 0 1547109430.587 * [misc]backup-simplify: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 1547109430.587 * [misc]backup-simplify: Simplify (* (+ (/ 1 N) 1) (/ 1 N)) into (/ (+ (/ 1 N) 1) N) 1547109430.587 * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 1547109430.587 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 1547109430.587 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1547109430.587 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1547109430.587 * [misc]taylor: Taking taylor expansion of N in N 1547109430.587 * [misc]backup-simplify: Simplify 0 into 0 1547109430.587 * [misc]backup-simplify: Simplify 1 into 1 1547109430.587 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547109430.587 * [misc]taylor: Taking taylor expansion of 1 in N 1547109430.587 * [misc]backup-simplify: Simplify 1 into 1 1547109430.587 * [misc]taylor: Taking taylor expansion of N in N 1547109430.587 * [misc]backup-simplify: Simplify 0 into 0 1547109430.587 * [misc]backup-simplify: Simplify 1 into 1 1547109430.587 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1547109430.587 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547109430.587 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 1547109430.587 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1547109430.587 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1547109430.587 * [misc]taylor: Taking taylor expansion of N in N 1547109430.587 * [misc]backup-simplify: Simplify 0 into 0 1547109430.587 * [misc]backup-simplify: Simplify 1 into 1 1547109430.588 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547109430.588 * [misc]taylor: Taking taylor expansion of 1 in N 1547109430.588 * [misc]backup-simplify: Simplify 1 into 1 1547109430.588 * [misc]taylor: Taking taylor expansion of N in N 1547109430.588 * [misc]backup-simplify: Simplify 0 into 0 1547109430.588 * [misc]backup-simplify: Simplify 1 into 1 1547109430.588 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1547109430.588 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547109430.588 * [misc]backup-simplify: Simplify 1 into 1 1547109430.588 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1547109430.588 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1547109430.589 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1547109430.589 * [misc]backup-simplify: Simplify 1 into 1 1547109430.589 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547109430.589 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.590 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1547109430.590 * [misc]backup-simplify: Simplify 0 into 0 1547109430.590 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547109430.590 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.591 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547109430.591 * [misc]backup-simplify: Simplify 0 into 0 1547109430.591 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547109430.591 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.592 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547109430.592 * [misc]backup-simplify: Simplify 0 into 0 1547109430.592 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547109430.592 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.593 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547109430.593 * [misc]backup-simplify: Simplify 0 into 0 1547109430.593 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547109430.594 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.594 * [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 1547109430.594 * [misc]backup-simplify: Simplify 0 into 0 1547109430.595 * [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 1547109430.595 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.596 * [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 1547109430.596 * [misc]backup-simplify: Simplify 0 into 0 1547109430.596 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 1547109430.596 * [misc]backup-simplify: Simplify (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N)) 1547109430.596 * [misc]approximate: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0 1547109430.596 * [misc]taylor: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 1547109430.596 * [misc]taylor: Taking taylor expansion of -1 in N 1547109430.596 * [misc]backup-simplify: Simplify -1 into -1 1547109430.596 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 1547109430.596 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1547109430.596 * [misc]taylor: Taking taylor expansion of 1 in N 1547109430.596 * [misc]backup-simplify: Simplify 1 into 1 1547109430.596 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1547109430.597 * [misc]taylor: Taking taylor expansion of N in N 1547109430.597 * [misc]backup-simplify: Simplify 0 into 0 1547109430.597 * [misc]backup-simplify: Simplify 1 into 1 1547109430.597 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547109430.597 * [misc]taylor: Taking taylor expansion of N in N 1547109430.597 * [misc]backup-simplify: Simplify 0 into 0 1547109430.597 * [misc]backup-simplify: Simplify 1 into 1 1547109430.597 * [misc]backup-simplify: Simplify (- 1) into -1 1547109430.597 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1547109430.597 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1547109430.597 * [misc]taylor: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 1547109430.597 * [misc]taylor: Taking taylor expansion of -1 in N 1547109430.597 * [misc]backup-simplify: Simplify -1 into -1 1547109430.597 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 1547109430.598 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1547109430.598 * [misc]taylor: Taking taylor expansion of 1 in N 1547109430.598 * [misc]backup-simplify: Simplify 1 into 1 1547109430.598 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1547109430.598 * [misc]taylor: Taking taylor expansion of N in N 1547109430.598 * [misc]backup-simplify: Simplify 0 into 0 1547109430.598 * [misc]backup-simplify: Simplify 1 into 1 1547109430.598 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547109430.598 * [misc]taylor: Taking taylor expansion of N in N 1547109430.598 * [misc]backup-simplify: Simplify 0 into 0 1547109430.598 * [misc]backup-simplify: Simplify 1 into 1 1547109430.598 * [misc]backup-simplify: Simplify (- 1) into -1 1547109430.598 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1547109430.598 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1547109430.599 * [misc]backup-simplify: Simplify (* -1 -1) into 1 1547109430.599 * [misc]backup-simplify: Simplify 1 into 1 1547109430.599 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1547109430.599 * [misc]backup-simplify: Simplify (- 0) into 0 1547109430.599 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1547109430.600 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 1547109430.600 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 -1)) into -1 1547109430.600 * [misc]backup-simplify: Simplify -1 into -1 1547109430.600 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547109430.600 * [misc]backup-simplify: Simplify (- 0) into 0 1547109430.601 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.601 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1547109430.601 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 1547109430.601 * [misc]backup-simplify: Simplify 0 into 0 1547109430.602 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547109430.602 * [misc]backup-simplify: Simplify (- 0) into 0 1547109430.602 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.602 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547109430.603 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 1547109430.603 * [misc]backup-simplify: Simplify 0 into 0 1547109430.603 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547109430.603 * [misc]backup-simplify: Simplify (- 0) into 0 1547109430.603 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.604 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547109430.604 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1547109430.604 * [misc]backup-simplify: Simplify 0 into 0 1547109430.605 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547109430.605 * [misc]backup-simplify: Simplify (- 0) into 0 1547109430.605 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.606 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547109430.606 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1547109430.606 * [misc]backup-simplify: Simplify 0 into 0 1547109430.607 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547109430.607 * [misc]backup-simplify: Simplify (- 0) into 0 1547109430.607 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.607 * [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 1547109430.608 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1547109430.608 * [misc]backup-simplify: Simplify 0 into 0 1547109430.609 * [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 1547109430.609 * [misc]backup-simplify: Simplify (- 0) into 0 1547109430.609 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547109430.610 * [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 1547109430.610 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1547109430.610 * [misc]backup-simplify: Simplify 0 into 0 1547109430.610 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2)) 1547109430.611 * * * [misc]progress: simplifying candidates 1547109430.611 * * * * [misc]progress: [ 1 / 26 ] simplifiying candidate # 1547109430.611 * * * * [misc]progress: [ 2 / 26 ] simplifiying candidate # 1547109430.611 * * * * [misc]progress: [ 3 / 26 ] simplifiying candidate # 1547109430.611 * * * * [misc]progress: [ 4 / 26 ] simplifiying candidate # 1547109430.611 * * * * [misc]progress: [ 5 / 26 ] simplifiying candidate # 1547109430.611 * * * * [misc]progress: [ 6 / 26 ] simplifiying candidate # 1547109430.611 * * * * [misc]progress: [ 7 / 26 ] simplifiying candidate # 1547109430.611 * * * * [misc]progress: [ 8 / 26 ] simplifiying candidate # 1547109430.611 * * * * [misc]progress: [ 9 / 26 ] simplifiying candidate # 1547109430.611 * * * * [misc]progress: [ 10 / 26 ] simplifiying candidate # 1547109430.611 * * * * [misc]progress: [ 11 / 26 ] simplifiying candidate # 1547109430.611 * * * * [misc]progress: [ 12 / 26 ] simplifiying candidate # 1547109430.611 * * * * [misc]progress: [ 13 / 26 ] simplifiying candidate # 1547109430.611 * * * * [misc]progress: [ 14 / 26 ] simplifiying candidate # 1547109430.611 * * * * [misc]progress: [ 15 / 26 ] simplifiying candidate # 1547109430.612 * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1547109430.612 * * [misc]simplify: iters left: 5 (5 enodes) 1547109430.614 * * [misc]simplify: iters left: 4 (8 enodes) 1547109430.616 * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1547109430.616 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ N 1)) N))))) 1547109430.616 * * * * [misc]progress: [ 16 / 26 ] simplifiying candidate # 1547109430.616 * [enter]simplify: Simplifying (sqrt (+ N 1)) 1547109430.616 * * [misc]simplify: iters left: 3 (4 enodes) 1547109430.617 * * [misc]simplify: iters left: 2 (7 enodes) 1547109430.619 * [exit]simplify: Simplified to (sqrt (+ 1 N)) 1547109430.619 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (sqrt (+ 1 N)) (* (sqrt (+ N 1)) N))))) 1547109430.619 * * * * [misc]progress: [ 17 / 26 ] simplifiying candidate # 1547109430.619 * * * * [misc]progress: [ 18 / 26 ] simplifiying candidate # 1547109430.620 * [enter]simplify: Simplifying (* (+ (pow N 3) (pow 1 3)) N) 1547109430.620 * * [misc]simplify: iters left: 5 (7 enodes) 1547109430.623 * * [misc]simplify: iters left: 4 (16 enodes) 1547109430.627 * * [misc]simplify: iters left: 3 (26 enodes) 1547109430.638 * * [misc]simplify: iters left: 2 (32 enodes) 1547109430.644 * [exit]simplify: Simplified to (+ N (pow N 4)) 1547109430.645 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (/ (+ N (pow N 4)) (+ (* N N) (- (* 1 1) (* N 1))))))) 1547109430.645 * * * * [misc]progress: [ 19 / 26 ] simplifiying candidate # 1547109430.645 * [enter]simplify: Simplifying (* (- (* N N) (* 1 1)) N) 1547109430.645 * * [misc]simplify: iters left: 6 (6 enodes) 1547109430.648 * * [misc]simplify: iters left: 5 (12 enodes) 1547109430.651 * * [misc]simplify: iters left: 4 (15 enodes) 1547109430.655 * * [misc]simplify: iters left: 3 (22 enodes) 1547109430.662 * * [misc]simplify: iters left: 2 (56 enodes) 1547109430.693 * * [misc]simplify: iters left: 1 (136 enodes) 1547109430.736 * [exit]simplify: Simplified to (- (pow N 3) N) 1547109430.736 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (/ (- (pow N 3) N) (- N 1))))) 1547109430.737 * * * * [misc]progress: [ 20 / 26 ] simplifiying candidate # 1547109430.737 * * * * [misc]progress: [ 21 / 26 ] simplifiying candidate # 1547109430.737 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1547109430.737 * * [misc]simplify: iters left: 6 (7 enodes) 1547109430.739 * * [misc]simplify: iters left: 5 (14 enodes) 1547109430.743 * * [misc]simplify: iters left: 4 (21 enodes) 1547109430.748 * * [misc]simplify: iters left: 3 (23 enodes) 1547109430.753 * * [misc]simplify: iters left: 2 (29 enodes) 1547109430.756 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1547109430.757 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1547109430.757 * * * * [misc]progress: [ 22 / 26 ] simplifiying candidate # 1547109430.757 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1547109430.757 * * [misc]simplify: iters left: 6 (7 enodes) 1547109430.758 * * [misc]simplify: iters left: 5 (14 enodes) 1547109430.760 * * [misc]simplify: iters left: 4 (21 enodes) 1547109430.762 * * [misc]simplify: iters left: 3 (23 enodes) 1547109430.767 * * [misc]simplify: iters left: 2 (29 enodes) 1547109430.771 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1547109430.771 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1547109430.771 * * * * [misc]progress: [ 23 / 26 ] simplifiying candidate # 1547109430.771 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1547109430.771 * * [misc]simplify: iters left: 6 (7 enodes) 1547109430.772 * * [misc]simplify: iters left: 5 (14 enodes) 1547109430.774 * * [misc]simplify: iters left: 4 (21 enodes) 1547109430.777 * * [misc]simplify: iters left: 3 (23 enodes) 1547109430.780 * * [misc]simplify: iters left: 2 (29 enodes) 1547109430.784 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1547109430.784 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1547109430.784 * * * * [misc]progress: [ 24 / 26 ] simplifiying candidate # 1547109430.784 * [enter]simplify: Simplifying (+ N (pow N 2)) 1547109430.784 * * [misc]simplify: iters left: 3 (4 enodes) 1547109430.785 * * [misc]simplify: iters left: 2 (6 enodes) 1547109430.786 * * [misc]simplify: iters left: 1 (9 enodes) 1547109430.787 * [exit]simplify: Simplified to (+ N (* N N)) 1547109430.787 * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N))))) 1547109430.787 * * * * [misc]progress: [ 25 / 26 ] simplifiying candidate # 1547109430.787 * [enter]simplify: Simplifying (+ N (pow N 2)) 1547109430.787 * * [misc]simplify: iters left: 3 (4 enodes) 1547109430.788 * * [misc]simplify: iters left: 2 (6 enodes) 1547109430.789 * * [misc]simplify: iters left: 1 (9 enodes) 1547109430.790 * [exit]simplify: Simplified to (+ N (* N N)) 1547109430.790 * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N))))) 1547109430.790 * * * * [misc]progress: [ 26 / 26 ] simplifiying candidate # 1547109430.790 * [enter]simplify: Simplifying (+ N (pow N 2)) 1547109430.790 * * [misc]simplify: iters left: 3 (4 enodes) 1547109430.791 * * [misc]simplify: iters left: 2 (6 enodes) 1547109430.792 * * [misc]simplify: iters left: 1 (9 enodes) 1547109430.793 * [exit]simplify: Simplified to (+ N (* N N)) 1547109430.793 * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N))))) 1547109430.793 * * * [misc]progress: adding candidates to table 1547109430.965 * * [misc]progress: iteration 3 / 4 1547109430.965 * * * [misc]progress: picking best candidate 1547109430.974 * * * * [misc]pick: Picked # 1547109430.974 * * * [misc]progress: localizing error 1547109430.980 * * * [misc]progress: generating rewritten candidates 1547109430.980 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) 1547109430.981 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1547109430.983 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1547109430.991 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) 1547109430.993 * * * [misc]progress: generating series expansions 1547109430.993 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) 1547109430.993 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109430.993 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 1547109430.993 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1547109430.993 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1547109430.994 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109430.994 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109430.994 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109430.994 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1547109430.994 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1547109430.994 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109430.995 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109430.995 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109430.995 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109430.995 * [misc]backup-simplify: Simplify 0 into 0 1547109430.996 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109430.997 * [misc]backup-simplify: Simplify 0 into 0 1547109430.997 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109430.997 * [misc]backup-simplify: Simplify 0 into 0 1547109430.998 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109430.998 * [misc]backup-simplify: Simplify 0 into 0 1547109430.999 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109430.999 * [misc]backup-simplify: Simplify 0 into 0 1547109431.000 * [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 1547109431.000 * [misc]backup-simplify: Simplify 0 into 0 1547109431.000 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109431.000 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1547109431.000 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 1547109431.000 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1547109431.000 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1547109431.000 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1547109431.001 * [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)))) 1547109431.001 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109431.001 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1547109431.001 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1547109431.001 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1547109431.001 * [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)))) 1547109431.002 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109431.002 * [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)))) 1547109431.002 * [misc]backup-simplify: Simplify 0 into 0 1547109431.003 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109431.003 * [misc]backup-simplify: Simplify 0 into 0 1547109431.003 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109431.004 * [misc]backup-simplify: Simplify 0 into 0 1547109431.004 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109431.005 * [misc]backup-simplify: Simplify 0 into 0 1547109431.005 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109431.005 * [misc]backup-simplify: Simplify 0 into 0 1547109431.006 * [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 1547109431.006 * [misc]backup-simplify: Simplify 0 into 0 1547109431.007 * [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)))) 1547109431.007 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1547109431.007 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 1547109431.007 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1547109431.007 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1547109431.007 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1547109431.008 * [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)))) 1547109431.008 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109431.008 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1547109431.008 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1547109431.008 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1547109431.008 * [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)))) 1547109431.009 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109431.009 * [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)))) 1547109431.009 * [misc]backup-simplify: Simplify 0 into 0 1547109431.010 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109431.010 * [misc]backup-simplify: Simplify 0 into 0 1547109431.011 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109431.011 * [misc]backup-simplify: Simplify 0 into 0 1547109431.012 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109431.012 * [misc]backup-simplify: Simplify 0 into 0 1547109431.012 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109431.012 * [misc]backup-simplify: Simplify 0 into 0 1547109431.013 * [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 1547109431.013 * [misc]backup-simplify: Simplify 0 into 0 1547109431.014 * [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)))) 1547109431.014 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1547109431.014 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109431.014 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 1547109431.014 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1547109431.014 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1547109431.014 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109431.014 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109431.015 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109431.015 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1547109431.015 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1547109431.015 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109431.015 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109431.015 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109431.015 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109431.015 * [misc]backup-simplify: Simplify 0 into 0 1547109431.016 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109431.017 * [misc]backup-simplify: Simplify 0 into 0 1547109431.017 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109431.017 * [misc]backup-simplify: Simplify 0 into 0 1547109431.018 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109431.018 * [misc]backup-simplify: Simplify 0 into 0 1547109431.018 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109431.019 * [misc]backup-simplify: Simplify 0 into 0 1547109431.019 * [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 1547109431.019 * [misc]backup-simplify: Simplify 0 into 0 1547109431.019 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109431.020 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1547109431.020 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 1547109431.020 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1547109431.020 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1547109431.020 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1547109431.020 * [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)))) 1547109431.020 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109431.020 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1547109431.020 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1547109431.020 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1547109431.020 * [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)))) 1547109431.020 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109431.021 * [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)))) 1547109431.021 * [misc]backup-simplify: Simplify 0 into 0 1547109431.021 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109431.021 * [misc]backup-simplify: Simplify 0 into 0 1547109431.022 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109431.022 * [misc]backup-simplify: Simplify 0 into 0 1547109431.022 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109431.022 * [misc]backup-simplify: Simplify 0 into 0 1547109431.023 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109431.023 * [misc]backup-simplify: Simplify 0 into 0 1547109431.024 * [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 1547109431.024 * [misc]backup-simplify: Simplify 0 into 0 1547109431.024 * [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)))) 1547109431.024 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1547109431.024 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 1547109431.024 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1547109431.024 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1547109431.024 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1547109431.024 * [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)))) 1547109431.024 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109431.024 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1547109431.024 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1547109431.025 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1547109431.025 * [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)))) 1547109431.025 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109431.025 * [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)))) 1547109431.025 * [misc]backup-simplify: Simplify 0 into 0 1547109431.026 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109431.026 * [misc]backup-simplify: Simplify 0 into 0 1547109431.026 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109431.026 * [misc]backup-simplify: Simplify 0 into 0 1547109431.027 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109431.027 * [misc]backup-simplify: Simplify 0 into 0 1547109431.027 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109431.027 * [misc]backup-simplify: Simplify 0 into 0 1547109431.028 * [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 1547109431.028 * [misc]backup-simplify: Simplify 0 into 0 1547109431.028 * [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)))) 1547109431.028 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1547109431.028 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109431.028 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1547109431.028 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1547109431.028 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109431.028 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1547109431.029 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109431.029 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109431.029 * [misc]backup-simplify: Simplify 0 into 0 1547109431.029 * [misc]backup-simplify: Simplify 0 into 0 1547109431.029 * [misc]backup-simplify: Simplify 0 into 0 1547109431.029 * [misc]backup-simplify: Simplify 0 into 0 1547109431.029 * [misc]backup-simplify: Simplify 0 into 0 1547109431.029 * [misc]backup-simplify: Simplify 0 into 0 1547109431.029 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109431.029 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1547109431.029 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1547109431.029 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1547109431.029 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1547109431.029 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1547109431.029 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1547109431.030 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1547109431.030 * [misc]backup-simplify: Simplify 0 into 0 1547109431.030 * [misc]backup-simplify: Simplify 0 into 0 1547109431.030 * [misc]backup-simplify: Simplify 0 into 0 1547109431.030 * [misc]backup-simplify: Simplify 0 into 0 1547109431.030 * [misc]backup-simplify: Simplify 0 into 0 1547109431.030 * [misc]backup-simplify: Simplify 0 into 0 1547109431.030 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109431.030 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1547109431.030 * [misc]approximate: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1547109431.030 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1547109431.030 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1547109431.030 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1547109431.030 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1547109431.031 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1547109431.031 * [misc]backup-simplify: Simplify 0 into 0 1547109431.031 * [misc]backup-simplify: Simplify 0 into 0 1547109431.031 * [misc]backup-simplify: Simplify 0 into 0 1547109431.031 * [misc]backup-simplify: Simplify 0 into 0 1547109431.031 * [misc]backup-simplify: Simplify 0 into 0 1547109431.031 * [misc]backup-simplify: Simplify 0 into 0 1547109431.031 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109431.031 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) 1547109431.031 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109431.031 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1547109431.031 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1547109431.031 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109431.031 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1547109431.031 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109431.031 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109431.031 * [misc]backup-simplify: Simplify 0 into 0 1547109431.031 * [misc]backup-simplify: Simplify 0 into 0 1547109431.031 * [misc]backup-simplify: Simplify 0 into 0 1547109431.031 * [misc]backup-simplify: Simplify 0 into 0 1547109431.031 * [misc]backup-simplify: Simplify 0 into 0 1547109431.032 * [misc]backup-simplify: Simplify 0 into 0 1547109431.032 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109431.032 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1547109431.032 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1547109431.032 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1547109431.032 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1547109431.032 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1547109431.032 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1547109431.032 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1547109431.032 * [misc]backup-simplify: Simplify 0 into 0 1547109431.032 * [misc]backup-simplify: Simplify 0 into 0 1547109431.032 * [misc]backup-simplify: Simplify 0 into 0 1547109431.032 * [misc]backup-simplify: Simplify 0 into 0 1547109431.032 * [misc]backup-simplify: Simplify 0 into 0 1547109431.032 * [misc]backup-simplify: Simplify 0 into 0 1547109431.032 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109431.033 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1547109431.033 * [misc]approximate: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1547109431.033 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1547109431.033 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1547109431.033 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1547109431.033 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1547109431.033 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1547109431.033 * [misc]backup-simplify: Simplify 0 into 0 1547109431.033 * [misc]backup-simplify: Simplify 0 into 0 1547109431.033 * [misc]backup-simplify: Simplify 0 into 0 1547109431.033 * [misc]backup-simplify: Simplify 0 into 0 1547109431.033 * [misc]backup-simplify: Simplify 0 into 0 1547109431.033 * [misc]backup-simplify: Simplify 0 into 0 1547109431.033 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109431.033 * * * [misc]progress: simplifying candidates 1547109431.033 * * * * [misc]progress: [ 1 / 73 ] simplifiying candidate # 1547109431.033 * * * * [misc]progress: [ 2 / 73 ] simplifiying candidate # 1547109431.033 * * * * [misc]progress: [ 3 / 73 ] simplifiying candidate # 1547109431.033 * * * * [misc]progress: [ 4 / 73 ] simplifiying candidate # 1547109431.034 * * * * [misc]progress: [ 5 / 73 ] simplifiying candidate # 1547109431.034 * * * * [misc]progress: [ 6 / 73 ] simplifiying candidate # 1547109431.034 * * * * [misc]progress: [ 7 / 73 ] simplifiying candidate # 1547109431.034 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1547109431.034 * * [misc]simplify: iters left: 6 (9 enodes) 1547109431.035 * * [misc]simplify: iters left: 5 (15 enodes) 1547109431.037 * * [misc]simplify: iters left: 4 (22 enodes) 1547109431.041 * * [misc]simplify: iters left: 3 (32 enodes) 1547109431.045 * * [misc]simplify: iters left: 2 (48 enodes) 1547109431.053 * * [misc]simplify: iters left: 1 (49 enodes) 1547109431.056 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1547109431.056 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1547109431.056 * * * * [misc]progress: [ 8 / 73 ] simplifiying candidate # 1547109431.056 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1547109431.056 * * [misc]simplify: iters left: 6 (8 enodes) 1547109431.058 * * [misc]simplify: iters left: 5 (13 enodes) 1547109431.060 * * [misc]simplify: iters left: 4 (20 enodes) 1547109431.063 * * [misc]simplify: iters left: 3 (30 enodes) 1547109431.067 * * [misc]simplify: iters left: 2 (45 enodes) 1547109431.081 * * [misc]simplify: iters left: 1 (46 enodes) 1547109431.090 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1547109431.090 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1547109431.090 * * * * [misc]progress: [ 9 / 73 ] simplifiying candidate # 1547109431.090 * [enter]simplify: Simplifying (sqrt 1) 1547109431.090 * * [misc]simplify: iters left: 1 (2 enodes) 1547109431.092 * [exit]simplify: Simplified to 1 1547109431.092 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1547109431.092 * * * * [misc]progress: [ 10 / 73 ] simplifiying candidate # 1547109431.092 * * * * [misc]progress: [ 11 / 73 ] simplifiying candidate # 1547109431.092 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1547109431.092 * * [misc]simplify: iters left: 6 (7 enodes) 1547109431.094 * * [misc]simplify: iters left: 5 (12 enodes) 1547109431.098 * * [misc]simplify: iters left: 4 (19 enodes) 1547109431.104 * * [misc]simplify: iters left: 3 (29 enodes) 1547109431.111 * * [misc]simplify: iters left: 2 (45 enodes) 1547109431.118 * * [misc]simplify: iters left: 1 (46 enodes) 1547109431.122 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1547109431.122 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (fabs (sqrt (atan2 1 (+ (+ N 1) (* N N))))))) 1547109431.122 * * * * [misc]progress: [ 12 / 73 ] simplifiying candidate # 1547109431.122 * * * * [misc]progress: [ 13 / 73 ] simplifiying candidate # 1547109431.122 * * * * [misc]progress: [ 14 / 73 ] simplifiying candidate # 1547109431.122 * * * * [misc]progress: [ 15 / 73 ] simplifiying candidate # 1547109431.122 * * * * [misc]progress: [ 16 / 73 ] simplifiying candidate # 1547109431.122 * * * * [misc]progress: [ 17 / 73 ] simplifiying candidate # 1547109431.122 * * * * [misc]progress: [ 18 / 73 ] simplifiying candidate # 1547109431.122 * * * * [misc]progress: [ 19 / 73 ] simplifiying candidate # 1547109431.122 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1547109431.122 * * [misc]simplify: iters left: 6 (9 enodes) 1547109431.124 * * [misc]simplify: iters left: 5 (15 enodes) 1547109431.126 * * [misc]simplify: iters left: 4 (22 enodes) 1547109431.129 * * [misc]simplify: iters left: 3 (32 enodes) 1547109431.133 * * [misc]simplify: iters left: 2 (48 enodes) 1547109431.141 * * [misc]simplify: iters left: 1 (49 enodes) 1547109431.145 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1547109431.145 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1547109431.145 * * * * [misc]progress: [ 20 / 73 ] simplifiying candidate # 1547109431.145 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1547109431.145 * * [misc]simplify: iters left: 6 (8 enodes) 1547109431.147 * * [misc]simplify: iters left: 5 (13 enodes) 1547109431.148 * * [misc]simplify: iters left: 4 (20 enodes) 1547109431.152 * * [misc]simplify: iters left: 3 (30 enodes) 1547109431.156 * * [misc]simplify: iters left: 2 (45 enodes) 1547109431.163 * * [misc]simplify: iters left: 1 (46 enodes) 1547109431.170 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1547109431.170 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1547109431.170 * * * * [misc]progress: [ 21 / 73 ] simplifiying candidate # 1547109431.170 * [enter]simplify: Simplifying (sqrt 1) 1547109431.171 * * [misc]simplify: iters left: 1 (2 enodes) 1547109431.172 * [exit]simplify: Simplified to 1 1547109431.172 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1547109431.172 * * * * [misc]progress: [ 22 / 73 ] simplifiying candidate # 1547109431.172 * * * * [misc]progress: [ 23 / 73 ] simplifiying candidate # 1547109431.172 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1547109431.172 * * [misc]simplify: iters left: 6 (7 enodes) 1547109431.174 * * [misc]simplify: iters left: 5 (12 enodes) 1547109431.178 * * [misc]simplify: iters left: 4 (19 enodes) 1547109431.185 * * [misc]simplify: iters left: 3 (29 enodes) 1547109431.190 * * [misc]simplify: iters left: 2 (45 enodes) 1547109431.197 * * [misc]simplify: iters left: 1 (46 enodes) 1547109431.200 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1547109431.200 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (fabs (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1547109431.201 * * * * [misc]progress: [ 24 / 73 ] simplifiying candidate # 1547109431.201 * * * * [misc]progress: [ 25 / 73 ] simplifiying candidate # 1547109431.201 * [enter]simplify: Simplifying (atan2 1 (+ 1 (* (+ N 1) N))) 1547109431.201 * * [misc]simplify: iters left: 6 (6 enodes) 1547109431.202 * * [misc]simplify: iters left: 5 (11 enodes) 1547109431.203 * * [misc]simplify: iters left: 4 (18 enodes) 1547109431.206 * * [misc]simplify: iters left: 3 (28 enodes) 1547109431.210 * * [misc]simplify: iters left: 2 (44 enodes) 1547109431.217 * * [misc]simplify: iters left: 1 (45 enodes) 1547109431.221 * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (* N N))) 1547109431.221 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N 1) (* N N))) (+ 1/2 1/2))) 1547109431.221 * [enter]simplify: Simplifying (+ 1/2 1/2) 1547109431.221 * * [misc]simplify: iters left: 2 (2 enodes) 1547109431.223 * * [misc]simplify: iters left: 1 (3 enodes) 1547109431.223 * [exit]simplify: Simplified to 1 1547109431.223 * [misc]simplify: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1)) 1547109431.223 * * * * [misc]progress: [ 26 / 73 ] simplifiying candidate # 1547109431.223 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1547109431.224 * * [misc]simplify: iters left: 6 (7 enodes) 1547109431.226 * * [misc]simplify: iters left: 5 (12 enodes) 1547109431.229 * * [misc]simplify: iters left: 4 (19 enodes) 1547109431.235 * * [misc]simplify: iters left: 3 (29 enodes) 1547109431.243 * * [misc]simplify: iters left: 2 (45 enodes) 1547109431.257 * * [misc]simplify: iters left: 1 (46 enodes) 1547109431.260 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1547109431.260 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (+ 1 1))) 1547109431.260 * [enter]simplify: Simplifying (+ 1 1) 1547109431.260 * * [misc]simplify: iters left: 2 (2 enodes) 1547109431.261 * * [misc]simplify: iters left: 1 (5 enodes) 1547109431.262 * [exit]simplify: Simplified to 2 1547109431.262 * [misc]simplify: Simplified (2 2) to (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 2)) 1547109431.262 * * * * [misc]progress: [ 27 / 73 ] simplifiying candidate # 1547109431.262 * [enter]simplify: Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) 1547109431.262 * * [misc]simplify: iters left: 6 (7 enodes) 1547109431.264 * * [misc]simplify: iters left: 5 (12 enodes) 1547109431.265 * * [misc]simplify: iters left: 4 (19 enodes) 1547109431.269 * * [misc]simplify: iters left: 3 (29 enodes) 1547109431.273 * * [misc]simplify: iters left: 2 (45 enodes) 1547109431.282 * * [misc]simplify: iters left: 1 (46 enodes) 1547109431.286 * [exit]simplify: Simplified to (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N)))) 1547109431.286 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N)))) 1/2)) 1547109431.286 * * * * [misc]progress: [ 28 / 73 ] simplifiying candidate # 1547109431.287 * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1547109431.287 * * [misc]simplify: iters left: 6 (8 enodes) 1547109431.290 * * [misc]simplify: iters left: 5 (13 enodes) 1547109431.293 * * [misc]simplify: iters left: 4 (21 enodes) 1547109431.298 * * [misc]simplify: iters left: 3 (31 enodes) 1547109431.301 * * [misc]simplify: iters left: 2 (46 enodes) 1547109431.309 * * [misc]simplify: iters left: 1 (48 enodes) 1547109431.313 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1547109431.313 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (* N N) (+ N 1))) 1)) 1547109431.313 * * * * [misc]progress: [ 29 / 73 ] simplifiying candidate # 1547109431.313 * * * * [misc]progress: [ 30 / 73 ] simplifiying candidate # 1547109431.313 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1547109431.313 * * [misc]simplify: iters left: 6 (7 enodes) 1547109431.315 * * [misc]simplify: iters left: 5 (12 enodes) 1547109431.316 * * [misc]simplify: iters left: 4 (19 enodes) 1547109431.320 * * [misc]simplify: iters left: 3 (29 enodes) 1547109431.323 * * [misc]simplify: iters left: 2 (45 enodes) 1547109431.331 * * [misc]simplify: iters left: 1 (46 enodes) 1547109431.338 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1547109431.338 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (+ 1 1))) 1547109431.338 * * * * [misc]progress: [ 31 / 73 ] simplifiying candidate # 1547109431.338 * * * * [misc]progress: [ 32 / 73 ] simplifiying candidate # 1547109431.338 * [enter]simplify: Simplifying (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1547109431.338 * * [misc]simplify: iters left: 6 (9 enodes) 1547109431.341 * * [misc]simplify: iters left: 5 (14 enodes) 1547109431.345 * * [misc]simplify: iters left: 4 (21 enodes) 1547109431.352 * * [misc]simplify: iters left: 3 (31 enodes) 1547109431.359 * * [misc]simplify: iters left: 2 (46 enodes) 1547109431.367 * * [misc]simplify: iters left: 1 (48 enodes) 1547109431.372 * [exit]simplify: Simplified to (+ (log (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1547109431.372 * [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)))))))) 1547109431.372 * * * * [misc]progress: [ 33 / 73 ] simplifiying candidate # 1547109431.372 * * * * [misc]progress: [ 34 / 73 ] simplifiying candidate # 1547109431.372 * * * * [misc]progress: [ 35 / 73 ] simplifiying candidate # 1547109431.372 * [enter]simplify: Simplifying (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1547109431.372 * * [misc]simplify: iters left: 6 (10 enodes) 1547109431.374 * * [misc]simplify: iters left: 5 (20 enodes) 1547109431.377 * * [misc]simplify: iters left: 4 (36 enodes) 1547109431.383 * * [misc]simplify: iters left: 3 (51 enodes) 1547109431.390 * * [misc]simplify: iters left: 2 (70 enodes) 1547109431.405 * * [misc]simplify: iters left: 1 (74 enodes) 1547109431.418 * [exit]simplify: Simplified to (pow (atan2 1 (+ (+ N 1) (* N N))) 3) 1547109431.418 * [misc]simplify: Simplified (2 1) to (λ (N) (cbrt (pow (atan2 1 (+ (+ N 1) (* N N))) 3))) 1547109431.418 * * * * [misc]progress: [ 36 / 73 ] simplifiying candidate # 1547109431.418 * * * * [misc]progress: [ 37 / 73 ] simplifiying candidate # 1547109431.418 * * * * [misc]progress: [ 38 / 73 ] simplifiying candidate # 1547109431.418 * [enter]simplify: Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) 1547109431.418 * * [misc]simplify: iters left: 6 (7 enodes) 1547109431.421 * * [misc]simplify: iters left: 5 (12 enodes) 1547109431.424 * * [misc]simplify: iters left: 4 (19 enodes) 1547109431.427 * * [misc]simplify: iters left: 3 (29 enodes) 1547109431.430 * * [misc]simplify: iters left: 2 (45 enodes) 1547109431.438 * * [misc]simplify: iters left: 1 (46 enodes) 1547109431.441 * [exit]simplify: Simplified to (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N)))) 1547109431.441 * [misc]simplify: Simplified (2 1) to (λ (N) (sqrt (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N)))))) 1547109431.441 * * * * [misc]progress: [ 39 / 73 ] simplifiying candidate # 1547109431.441 * * * * [misc]progress: [ 40 / 73 ] simplifiying candidate # 1547109431.441 * [enter]simplify: Simplifying (+ 1 (* (+ N 1) N)) 1547109431.441 * * [misc]simplify: iters left: 6 (5 enodes) 1547109431.442 * * [misc]simplify: iters left: 5 (10 enodes) 1547109431.443 * * [misc]simplify: iters left: 4 (17 enodes) 1547109431.446 * * [misc]simplify: iters left: 3 (27 enodes) 1547109431.452 * * [misc]simplify: iters left: 2 (42 enodes) 1547109431.467 * * [misc]simplify: iters left: 1 (43 enodes) 1547109431.473 * [exit]simplify: Simplified to (+ (+ N 1) (* N N)) 1547109431.473 * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ N 1) (* N N)))) 1547109431.473 * * * * [misc]progress: [ 41 / 73 ] simplifiying candidate # 1547109431.473 * * * * [misc]progress: [ 42 / 73 ] simplifiying candidate # 1547109431.473 * [enter]simplify: Simplifying (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1547109431.473 * * [misc]simplify: iters left: 6 (8 enodes) 1547109431.476 * * [misc]simplify: iters left: 5 (13 enodes) 1547109431.479 * * [misc]simplify: iters left: 4 (20 enodes) 1547109431.486 * * [misc]simplify: iters left: 3 (30 enodes) 1547109431.494 * * [misc]simplify: iters left: 2 (45 enodes) 1547109431.509 * * [misc]simplify: iters left: 1 (46 enodes) 1547109431.515 * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1547109431.516 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))))) 1547109431.516 * * * * [misc]progress: [ 43 / 73 ] simplifiying candidate # 1547109431.516 * [enter]simplify: Simplifying (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1547109431.516 * * [misc]simplify: iters left: 6 (8 enodes) 1547109431.519 * * [misc]simplify: iters left: 5 (13 enodes) 1547109431.522 * * [misc]simplify: iters left: 4 (20 enodes) 1547109431.531 * * [misc]simplify: iters left: 3 (30 enodes) 1547109431.539 * * [misc]simplify: iters left: 2 (45 enodes) 1547109431.555 * * [misc]simplify: iters left: 1 (46 enodes) 1547109431.562 * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1547109431.562 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1))))))) 1547109431.562 * * * * [misc]progress: [ 44 / 73 ] simplifiying candidate # 1547109431.562 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1547109431.562 * * [misc]simplify: iters left: 6 (8 enodes) 1547109431.565 * * [misc]simplify: iters left: 5 (13 enodes) 1547109431.569 * * [misc]simplify: iters left: 4 (20 enodes) 1547109431.575 * * [misc]simplify: iters left: 3 (30 enodes) 1547109431.582 * * [misc]simplify: iters left: 2 (45 enodes) 1547109431.596 * * [misc]simplify: iters left: 1 (46 enodes) 1547109431.603 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1547109431.604 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))))) 1547109431.604 * * * * [misc]progress: [ 45 / 73 ] simplifiying candidate # 1547109431.604 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1547109431.604 * * [misc]simplify: iters left: 6 (7 enodes) 1547109431.606 * * [misc]simplify: iters left: 5 (12 enodes) 1547109431.610 * * [misc]simplify: iters left: 4 (19 enodes) 1547109431.617 * * [misc]simplify: iters left: 3 (29 enodes) 1547109431.625 * * [misc]simplify: iters left: 2 (45 enodes) 1547109431.639 * * [misc]simplify: iters left: 1 (46 enodes) 1547109431.644 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1547109431.644 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt 1)) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1547109431.645 * * * * [misc]progress: [ 46 / 73 ] simplifiying candidate # 1547109431.645 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1547109431.645 * * [misc]simplify: iters left: 6 (8 enodes) 1547109431.647 * * [misc]simplify: iters left: 5 (13 enodes) 1547109431.651 * * [misc]simplify: iters left: 4 (20 enodes) 1547109431.658 * * [misc]simplify: iters left: 3 (30 enodes) 1547109431.665 * * [misc]simplify: iters left: 2 (45 enodes) 1547109431.681 * * [misc]simplify: iters left: 1 (46 enodes) 1547109431.688 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1547109431.688 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))))) 1547109431.688 * * * * [misc]progress: [ 47 / 73 ] simplifiying candidate # 1547109431.688 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1547109431.688 * * [misc]simplify: iters left: 6 (7 enodes) 1547109431.691 * * [misc]simplify: iters left: 5 (12 enodes) 1547109431.694 * * [misc]simplify: iters left: 4 (19 enodes) 1547109431.700 * * [misc]simplify: iters left: 3 (29 enodes) 1547109431.708 * * [misc]simplify: iters left: 2 (45 enodes) 1547109431.724 * * [misc]simplify: iters left: 1 (46 enodes) 1547109431.731 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1547109431.731 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1547109431.731 * * * * [misc]progress: [ 48 / 73 ] simplifiying candidate # 1547109431.731 * [enter]simplify: Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1547109431.731 * * [misc]simplify: iters left: 6 (9 enodes) 1547109431.734 * * [misc]simplify: iters left: 5 (14 enodes) 1547109431.739 * * [misc]simplify: iters left: 4 (21 enodes) 1547109431.747 * * [misc]simplify: iters left: 3 (31 enodes) 1547109431.753 * * [misc]simplify: iters left: 2 (46 enodes) 1547109431.763 * * [misc]simplify: iters left: 1 (48 enodes) 1547109431.771 * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1547109431.771 * [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 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1547109431.771 * * * * [misc]progress: [ 49 / 73 ] simplifiying candidate # 1547109431.771 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1547109431.771 * * [misc]simplify: iters left: 6 (9 enodes) 1547109431.774 * * [misc]simplify: iters left: 5 (15 enodes) 1547109431.778 * * [misc]simplify: iters left: 4 (22 enodes) 1547109431.785 * * [misc]simplify: iters left: 3 (32 enodes) 1547109431.793 * * [misc]simplify: iters left: 2 (48 enodes) 1547109431.806 * * [misc]simplify: iters left: 1 (49 enodes) 1547109431.810 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1547109431.810 * [misc]simplify: Simplified (2 1) to (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1547109431.810 * * * * [misc]progress: [ 50 / 73 ] simplifiying candidate # 1547109431.811 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1547109431.811 * * [misc]simplify: iters left: 6 (8 enodes) 1547109431.812 * * [misc]simplify: iters left: 5 (13 enodes) 1547109431.814 * * [misc]simplify: iters left: 4 (20 enodes) 1547109431.817 * * [misc]simplify: iters left: 3 (30 enodes) 1547109431.821 * * [misc]simplify: iters left: 2 (45 enodes) 1547109431.829 * * [misc]simplify: iters left: 1 (46 enodes) 1547109431.833 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1547109431.833 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1547109431.833 * * * * [misc]progress: [ 51 / 73 ] simplifiying candidate # 1547109431.833 * [enter]simplify: Simplifying (sqrt 1) 1547109431.833 * * [misc]simplify: iters left: 1 (2 enodes) 1547109431.834 * [exit]simplify: Simplified to 1 1547109431.834 * [misc]simplify: Simplified (2 1) to (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1547109431.834 * * * * [misc]progress: [ 52 / 73 ] simplifiying candidate # 1547109431.834 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1547109431.834 * * [misc]simplify: iters left: 6 (8 enodes) 1547109431.836 * * [misc]simplify: iters left: 5 (13 enodes) 1547109431.838 * * [misc]simplify: iters left: 4 (20 enodes) 1547109431.841 * * [misc]simplify: iters left: 3 (30 enodes) 1547109431.845 * * [misc]simplify: iters left: 2 (45 enodes) 1547109431.854 * * [misc]simplify: iters left: 1 (46 enodes) 1547109431.858 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1547109431.858 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1547109431.858 * * * * [misc]progress: [ 53 / 73 ] simplifiying candidate # 1547109431.858 * * * * [misc]progress: [ 54 / 73 ] simplifiying candidate # 1547109431.858 * * * * [misc]progress: [ 55 / 73 ] simplifiying candidate # 1547109431.858 * * * * [misc]progress: [ 56 / 73 ] simplifiying candidate # 1547109431.858 * * * * [misc]progress: [ 57 / 73 ] simplifiying candidate # 1547109431.858 * * * * [misc]progress: [ 58 / 73 ] simplifiying candidate # 1547109431.858 * * * * [misc]progress: [ 59 / 73 ] simplifiying candidate # 1547109431.858 * * * * [misc]progress: [ 60 / 73 ] simplifiying candidate # 1547109431.858 * * * * [misc]progress: [ 61 / 73 ] simplifiying candidate # 1547109431.858 * * * * [misc]progress: [ 62 / 73 ] simplifiying candidate # 1547109431.858 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109431.858 * * [misc]simplify: iters left: 6 (8 enodes) 1547109431.860 * * [misc]simplify: iters left: 5 (15 enodes) 1547109431.865 * * [misc]simplify: iters left: 4 (22 enodes) 1547109431.871 * * [misc]simplify: iters left: 3 (24 enodes) 1547109431.877 * * [misc]simplify: iters left: 2 (30 enodes) 1547109431.886 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1547109431.886 * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1547109431.886 * * * * [misc]progress: [ 63 / 73 ] simplifiying candidate # 1547109431.886 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109431.886 * * [misc]simplify: iters left: 6 (8 enodes) 1547109431.889 * * [misc]simplify: iters left: 5 (15 enodes) 1547109431.893 * * [misc]simplify: iters left: 4 (22 enodes) 1547109431.899 * * [misc]simplify: iters left: 3 (24 enodes) 1547109431.905 * * [misc]simplify: iters left: 2 (30 enodes) 1547109431.914 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1547109431.914 * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1547109431.914 * * * * [misc]progress: [ 64 / 73 ] simplifiying candidate # 1547109431.914 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109431.914 * * [misc]simplify: iters left: 6 (8 enodes) 1547109431.917 * * [misc]simplify: iters left: 5 (15 enodes) 1547109431.920 * * [misc]simplify: iters left: 4 (22 enodes) 1547109431.923 * * [misc]simplify: iters left: 3 (24 enodes) 1547109431.926 * * [misc]simplify: iters left: 2 (30 enodes) 1547109431.930 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1547109431.930 * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1547109431.930 * * * * [misc]progress: [ 65 / 73 ] simplifiying candidate # 1547109431.930 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109431.931 * * [misc]simplify: iters left: 6 (8 enodes) 1547109431.932 * * [misc]simplify: iters left: 5 (15 enodes) 1547109431.934 * * [misc]simplify: iters left: 4 (22 enodes) 1547109431.937 * * [misc]simplify: iters left: 3 (24 enodes) 1547109431.940 * * [misc]simplify: iters left: 2 (30 enodes) 1547109431.944 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1547109431.944 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1547109431.944 * * * * [misc]progress: [ 66 / 73 ] simplifiying candidate # 1547109431.944 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109431.944 * * [misc]simplify: iters left: 6 (8 enodes) 1547109431.945 * * [misc]simplify: iters left: 5 (15 enodes) 1547109431.947 * * [misc]simplify: iters left: 4 (22 enodes) 1547109431.950 * * [misc]simplify: iters left: 3 (24 enodes) 1547109431.955 * * [misc]simplify: iters left: 2 (30 enodes) 1547109431.963 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1547109431.963 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1547109431.964 * * * * [misc]progress: [ 67 / 73 ] simplifiying candidate # 1547109431.964 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109431.964 * * [misc]simplify: iters left: 6 (8 enodes) 1547109431.967 * * [misc]simplify: iters left: 5 (15 enodes) 1547109431.971 * * [misc]simplify: iters left: 4 (22 enodes) 1547109431.977 * * [misc]simplify: iters left: 3 (24 enodes) 1547109431.982 * * [misc]simplify: iters left: 2 (30 enodes) 1547109431.990 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1547109431.990 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1547109431.990 * * * * [misc]progress: [ 68 / 73 ] simplifiying candidate # 1547109431.991 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1547109431.991 * * [misc]simplify: iters left: 6 (7 enodes) 1547109431.993 * * [misc]simplify: iters left: 5 (14 enodes) 1547109431.996 * * [misc]simplify: iters left: 4 (21 enodes) 1547109432.001 * * [misc]simplify: iters left: 3 (23 enodes) 1547109432.006 * * [misc]simplify: iters left: 2 (29 enodes) 1547109432.014 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1547109432.014 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1547109432.014 * * * * [misc]progress: [ 69 / 73 ] simplifiying candidate # 1547109432.014 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1547109432.014 * * [misc]simplify: iters left: 6 (7 enodes) 1547109432.017 * * [misc]simplify: iters left: 5 (14 enodes) 1547109432.020 * * [misc]simplify: iters left: 4 (21 enodes) 1547109432.026 * * [misc]simplify: iters left: 3 (23 enodes) 1547109432.032 * * [misc]simplify: iters left: 2 (29 enodes) 1547109432.038 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1547109432.038 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1547109432.038 * * * * [misc]progress: [ 70 / 73 ] simplifiying candidate # 1547109432.038 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1547109432.038 * * [misc]simplify: iters left: 6 (7 enodes) 1547109432.039 * * [misc]simplify: iters left: 5 (14 enodes) 1547109432.041 * * [misc]simplify: iters left: 4 (21 enodes) 1547109432.044 * * [misc]simplify: iters left: 3 (23 enodes) 1547109432.046 * * [misc]simplify: iters left: 2 (29 enodes) 1547109432.050 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1547109432.050 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1547109432.050 * * * * [misc]progress: [ 71 / 73 ] simplifiying candidate # 1547109432.051 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1547109432.051 * * [misc]simplify: iters left: 6 (7 enodes) 1547109432.052 * * [misc]simplify: iters left: 5 (14 enodes) 1547109432.054 * * [misc]simplify: iters left: 4 (21 enodes) 1547109432.056 * * [misc]simplify: iters left: 3 (23 enodes) 1547109432.059 * * [misc]simplify: iters left: 2 (29 enodes) 1547109432.063 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1547109432.063 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1547109432.063 * * * * [misc]progress: [ 72 / 73 ] simplifiying candidate # 1547109432.063 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1547109432.063 * * [misc]simplify: iters left: 6 (7 enodes) 1547109432.064 * * [misc]simplify: iters left: 5 (14 enodes) 1547109432.066 * * [misc]simplify: iters left: 4 (21 enodes) 1547109432.069 * * [misc]simplify: iters left: 3 (23 enodes) 1547109432.072 * * [misc]simplify: iters left: 2 (29 enodes) 1547109432.081 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1547109432.081 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1547109432.081 * * * * [misc]progress: [ 73 / 73 ] simplifiying candidate # 1547109432.081 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1547109432.081 * * [misc]simplify: iters left: 6 (7 enodes) 1547109432.084 * * [misc]simplify: iters left: 5 (14 enodes) 1547109432.088 * * [misc]simplify: iters left: 4 (21 enodes) 1547109432.094 * * [misc]simplify: iters left: 3 (23 enodes) 1547109432.100 * * [misc]simplify: iters left: 2 (29 enodes) 1547109432.108 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1547109432.108 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1547109432.108 * * * [misc]progress: adding candidates to table 1547109432.847 * * [misc]progress: iteration 4 / 4 1547109432.847 * * * [misc]progress: picking best candidate 1547109432.856 * * * * [misc]pick: Picked # 1547109432.856 * * * [misc]progress: localizing error 1547109432.865 * * * [misc]progress: generating rewritten candidates 1547109432.865 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1) 1547109432.866 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1) 1547109432.866 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) 1547109432.867 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1547109432.889 * * * [misc]progress: generating series expansions 1547109432.889 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1) 1547109432.889 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109432.889 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 1547109432.889 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1547109432.889 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1547109432.889 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109432.889 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109432.890 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109432.890 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1547109432.890 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1547109432.890 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109432.892 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109432.893 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109432.893 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109432.893 * [misc]backup-simplify: Simplify 0 into 0 1547109432.894 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109432.894 * [misc]backup-simplify: Simplify 0 into 0 1547109432.895 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109432.895 * [misc]backup-simplify: Simplify 0 into 0 1547109432.895 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109432.896 * [misc]backup-simplify: Simplify 0 into 0 1547109432.896 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109432.896 * [misc]backup-simplify: Simplify 0 into 0 1547109432.897 * [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 1547109432.897 * [misc]backup-simplify: Simplify 0 into 0 1547109432.897 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109432.898 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1547109432.898 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 1547109432.898 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1547109432.898 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1547109432.898 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1547109432.898 * [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)))) 1547109432.898 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109432.898 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1547109432.898 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1547109432.899 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1547109432.899 * [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)))) 1547109432.899 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109432.899 * [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)))) 1547109432.899 * [misc]backup-simplify: Simplify 0 into 0 1547109432.901 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109432.901 * [misc]backup-simplify: Simplify 0 into 0 1547109432.901 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109432.901 * [misc]backup-simplify: Simplify 0 into 0 1547109432.902 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109432.902 * [misc]backup-simplify: Simplify 0 into 0 1547109432.903 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109432.903 * [misc]backup-simplify: Simplify 0 into 0 1547109432.904 * [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 1547109432.904 * [misc]backup-simplify: Simplify 0 into 0 1547109432.904 * [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)))) 1547109432.904 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1547109432.904 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 1547109432.904 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1547109432.904 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1547109432.905 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1547109432.905 * [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)))) 1547109432.905 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109432.905 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1547109432.905 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1547109432.905 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1547109432.906 * [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)))) 1547109432.906 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109432.906 * [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)))) 1547109432.906 * [misc]backup-simplify: Simplify 0 into 0 1547109432.907 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109432.907 * [misc]backup-simplify: Simplify 0 into 0 1547109432.908 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109432.908 * [misc]backup-simplify: Simplify 0 into 0 1547109432.909 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109432.909 * [misc]backup-simplify: Simplify 0 into 0 1547109432.910 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109432.910 * [misc]backup-simplify: Simplify 0 into 0 1547109432.911 * [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 1547109432.911 * [misc]backup-simplify: Simplify 0 into 0 1547109432.911 * [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)))) 1547109432.911 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1) 1547109432.911 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109432.911 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 1547109432.911 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1547109432.911 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1547109432.911 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109432.912 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109432.912 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109432.912 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1547109432.912 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1547109432.912 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109432.912 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109432.912 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109432.912 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109432.912 * [misc]backup-simplify: Simplify 0 into 0 1547109432.913 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109432.913 * [misc]backup-simplify: Simplify 0 into 0 1547109432.913 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109432.913 * [misc]backup-simplify: Simplify 0 into 0 1547109432.914 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109432.914 * [misc]backup-simplify: Simplify 0 into 0 1547109432.914 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109432.914 * [misc]backup-simplify: Simplify 0 into 0 1547109432.915 * [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 1547109432.915 * [misc]backup-simplify: Simplify 0 into 0 1547109432.915 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109432.915 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1547109432.915 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 1547109432.916 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1547109432.916 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1547109432.916 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1547109432.916 * [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)))) 1547109432.916 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109432.916 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1547109432.916 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1547109432.916 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1547109432.916 * [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)))) 1547109432.916 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109432.917 * [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)))) 1547109432.917 * [misc]backup-simplify: Simplify 0 into 0 1547109432.917 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109432.917 * [misc]backup-simplify: Simplify 0 into 0 1547109432.918 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109432.918 * [misc]backup-simplify: Simplify 0 into 0 1547109432.918 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109432.918 * [misc]backup-simplify: Simplify 0 into 0 1547109432.919 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109432.919 * [misc]backup-simplify: Simplify 0 into 0 1547109432.920 * [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 1547109432.920 * [misc]backup-simplify: Simplify 0 into 0 1547109432.920 * [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)))) 1547109432.920 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1547109432.920 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 1547109432.920 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1547109432.920 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1547109432.920 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1547109432.920 * [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)))) 1547109432.920 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109432.921 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1547109432.921 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1547109432.921 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1547109432.921 * [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)))) 1547109432.921 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109432.921 * [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)))) 1547109432.921 * [misc]backup-simplify: Simplify 0 into 0 1547109432.922 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109432.922 * [misc]backup-simplify: Simplify 0 into 0 1547109432.922 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109432.922 * [misc]backup-simplify: Simplify 0 into 0 1547109432.923 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109432.923 * [misc]backup-simplify: Simplify 0 into 0 1547109432.923 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109432.923 * [misc]backup-simplify: Simplify 0 into 0 1547109432.924 * [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 1547109432.924 * [misc]backup-simplify: Simplify 0 into 0 1547109432.924 * [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)))) 1547109432.924 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) 1547109432.924 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109432.924 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 1547109432.924 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1547109432.924 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1547109432.924 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109432.924 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109432.924 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109432.925 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1547109432.925 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1547109432.925 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109432.925 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109432.925 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109432.925 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109432.925 * [misc]backup-simplify: Simplify 0 into 0 1547109432.926 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109432.926 * [misc]backup-simplify: Simplify 0 into 0 1547109432.926 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109432.926 * [misc]backup-simplify: Simplify 0 into 0 1547109432.927 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109432.927 * [misc]backup-simplify: Simplify 0 into 0 1547109432.927 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1547109432.927 * [misc]backup-simplify: Simplify 0 into 0 1547109432.928 * [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 1547109432.928 * [misc]backup-simplify: Simplify 0 into 0 1547109432.928 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109432.928 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1547109432.928 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 1547109432.928 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1547109432.928 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1547109432.928 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1547109432.928 * [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)))) 1547109432.928 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109432.928 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1547109432.928 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1547109432.928 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1547109432.929 * [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)))) 1547109432.929 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109432.929 * [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)))) 1547109432.929 * [misc]backup-simplify: Simplify 0 into 0 1547109432.930 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109432.930 * [misc]backup-simplify: Simplify 0 into 0 1547109432.930 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109432.930 * [misc]backup-simplify: Simplify 0 into 0 1547109432.931 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109432.931 * [misc]backup-simplify: Simplify 0 into 0 1547109432.931 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1547109432.931 * [misc]backup-simplify: Simplify 0 into 0 1547109432.932 * [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 1547109432.932 * [misc]backup-simplify: Simplify 0 into 0 1547109432.932 * [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)))) 1547109432.932 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1547109432.932 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 1547109432.932 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1547109432.932 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1547109432.932 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1547109432.932 * [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)))) 1547109432.932 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109432.932 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1547109432.933 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1547109432.933 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1547109432.933 * [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)))) 1547109432.933 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109432.933 * [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)))) 1547109432.933 * [misc]backup-simplify: Simplify 0 into 0 1547109432.934 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109432.934 * [misc]backup-simplify: Simplify 0 into 0 1547109432.934 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109432.934 * [misc]backup-simplify: Simplify 0 into 0 1547109432.935 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109432.935 * [misc]backup-simplify: Simplify 0 into 0 1547109432.935 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1547109432.935 * [misc]backup-simplify: Simplify 0 into 0 1547109432.936 * [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 1547109432.936 * [misc]backup-simplify: Simplify 0 into 0 1547109432.936 * [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)))) 1547109432.936 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1547109432.936 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109432.936 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1547109432.936 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1547109432.936 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109432.936 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1547109432.936 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109432.937 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109432.937 * [misc]backup-simplify: Simplify 0 into 0 1547109432.937 * [misc]backup-simplify: Simplify 0 into 0 1547109432.937 * [misc]backup-simplify: Simplify 0 into 0 1547109432.937 * [misc]backup-simplify: Simplify 0 into 0 1547109432.937 * [misc]backup-simplify: Simplify 0 into 0 1547109432.937 * [misc]backup-simplify: Simplify 0 into 0 1547109432.937 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109432.937 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1547109432.937 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1547109432.937 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1547109432.937 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1547109432.937 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1547109432.938 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1547109432.938 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1547109432.938 * [misc]backup-simplify: Simplify 0 into 0 1547109432.938 * [misc]backup-simplify: Simplify 0 into 0 1547109432.938 * [misc]backup-simplify: Simplify 0 into 0 1547109432.938 * [misc]backup-simplify: Simplify 0 into 0 1547109432.938 * [misc]backup-simplify: Simplify 0 into 0 1547109432.938 * [misc]backup-simplify: Simplify 0 into 0 1547109432.938 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109432.938 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1547109432.938 * [misc]approximate: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1547109432.938 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1547109432.939 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1547109432.939 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1547109432.939 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1547109432.939 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1547109432.939 * [misc]backup-simplify: Simplify 0 into 0 1547109432.939 * [misc]backup-simplify: Simplify 0 into 0 1547109432.939 * [misc]backup-simplify: Simplify 0 into 0 1547109432.939 * [misc]backup-simplify: Simplify 0 into 0 1547109432.939 * [misc]backup-simplify: Simplify 0 into 0 1547109432.939 * [misc]backup-simplify: Simplify 0 into 0 1547109432.939 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1547109432.939 * * * [misc]progress: simplifying candidates 1547109432.939 * * * * [misc]progress: [ 1 / 72 ] simplifiying candidate # 1547109432.939 * * * * [misc]progress: [ 2 / 72 ] simplifiying candidate # 1547109432.939 * * * * [misc]progress: [ 3 / 72 ] simplifiying candidate # 1547109432.939 * * * * [misc]progress: [ 4 / 72 ] simplifiying candidate # 1547109432.939 * * * * [misc]progress: [ 5 / 72 ] simplifiying candidate # 1547109432.939 * * * * [misc]progress: [ 6 / 72 ] simplifiying candidate # 1547109432.940 * * * * [misc]progress: [ 7 / 72 ] simplifiying candidate # 1547109432.940 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1547109432.940 * * [misc]simplify: iters left: 6 (9 enodes) 1547109432.941 * * [misc]simplify: iters left: 5 (15 enodes) 1547109432.943 * * [misc]simplify: iters left: 4 (22 enodes) 1547109432.950 * * [misc]simplify: iters left: 3 (32 enodes) 1547109432.958 * * [misc]simplify: iters left: 2 (48 enodes) 1547109432.974 * * [misc]simplify: iters left: 1 (49 enodes) 1547109432.981 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1547109432.981 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))) 1547109432.981 * * * * [misc]progress: [ 8 / 72 ] simplifiying candidate # 1547109432.982 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1547109432.982 * * [misc]simplify: iters left: 6 (8 enodes) 1547109432.984 * * [misc]simplify: iters left: 5 (13 enodes) 1547109432.988 * * [misc]simplify: iters left: 4 (20 enodes) 1547109432.994 * * [misc]simplify: iters left: 3 (30 enodes) 1547109433.001 * * [misc]simplify: iters left: 2 (45 enodes) 1547109433.015 * * [misc]simplify: iters left: 1 (46 enodes) 1547109433.023 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1547109433.023 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))))) 1547109433.023 * * * * [misc]progress: [ 9 / 72 ] simplifiying candidate # 1547109433.023 * [enter]simplify: Simplifying (sqrt 1) 1547109433.023 * * [misc]simplify: iters left: 1 (2 enodes) 1547109433.025 * [exit]simplify: Simplified to 1 1547109433.025 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))) 1547109433.025 * * * * [misc]progress: [ 10 / 72 ] simplifiying candidate # 1547109433.025 * * * * [misc]progress: [ 11 / 72 ] simplifiying candidate # 1547109433.025 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1547109433.025 * * [misc]simplify: iters left: 6 (7 enodes) 1547109433.028 * * [misc]simplify: iters left: 5 (12 enodes) 1547109433.031 * * [misc]simplify: iters left: 4 (19 enodes) 1547109433.037 * * [misc]simplify: iters left: 3 (29 enodes) 1547109433.044 * * [misc]simplify: iters left: 2 (45 enodes) 1547109433.059 * * [misc]simplify: iters left: 1 (46 enodes) 1547109433.062 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1547109433.062 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (fabs (sqrt (atan2 1 (+ (+ N 1) (* N N))))))))) 1547109433.062 * * * * [misc]progress: [ 12 / 72 ] simplifiying candidate # 1547109433.062 * * * * [misc]progress: [ 13 / 72 ] simplifiying candidate # 1547109433.062 * * * * [misc]progress: [ 14 / 72 ] simplifiying candidate # 1547109433.062 * * * * [misc]progress: [ 15 / 72 ] simplifiying candidate # 1547109433.062 * * * * [misc]progress: [ 16 / 72 ] simplifiying candidate # 1547109433.062 * * * * [misc]progress: [ 17 / 72 ] simplifiying candidate # 1547109433.063 * * * * [misc]progress: [ 18 / 72 ] simplifiying candidate # 1547109433.063 * * * * [misc]progress: [ 19 / 72 ] simplifiying candidate # 1547109433.063 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1547109433.063 * * [misc]simplify: iters left: 6 (9 enodes) 1547109433.064 * * [misc]simplify: iters left: 5 (15 enodes) 1547109433.066 * * [misc]simplify: iters left: 4 (22 enodes) 1547109433.070 * * [misc]simplify: iters left: 3 (32 enodes) 1547109433.074 * * [misc]simplify: iters left: 2 (48 enodes) 1547109433.082 * * [misc]simplify: iters left: 1 (49 enodes) 1547109433.085 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1547109433.085 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1547109433.085 * * * * [misc]progress: [ 20 / 72 ] simplifiying candidate # 1547109433.086 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1547109433.086 * * [misc]simplify: iters left: 6 (8 enodes) 1547109433.087 * * [misc]simplify: iters left: 5 (13 enodes) 1547109433.089 * * [misc]simplify: iters left: 4 (20 enodes) 1547109433.092 * * [misc]simplify: iters left: 3 (30 enodes) 1547109433.095 * * [misc]simplify: iters left: 2 (45 enodes) 1547109433.103 * * [misc]simplify: iters left: 1 (46 enodes) 1547109433.106 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1547109433.106 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1547109433.106 * * * * [misc]progress: [ 21 / 72 ] simplifiying candidate # 1547109433.107 * [enter]simplify: Simplifying (sqrt 1) 1547109433.107 * * [misc]simplify: iters left: 1 (2 enodes) 1547109433.107 * [exit]simplify: Simplified to 1 1547109433.107 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1547109433.108 * * * * [misc]progress: [ 22 / 72 ] simplifiying candidate # 1547109433.108 * * * * [misc]progress: [ 23 / 72 ] simplifiying candidate # 1547109433.108 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1547109433.108 * * [misc]simplify: iters left: 6 (7 enodes) 1547109433.109 * * [misc]simplify: iters left: 5 (12 enodes) 1547109433.110 * * [misc]simplify: iters left: 4 (19 enodes) 1547109433.117 * * [misc]simplify: iters left: 3 (29 enodes) 1547109433.124 * * [misc]simplify: iters left: 2 (45 enodes) 1547109433.139 * * [misc]simplify: iters left: 1 (46 enodes) 1547109433.144 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1547109433.145 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (fabs (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1547109433.145 * * * * [misc]progress: [ 24 / 72 ] simplifiying candidate # 1547109433.145 * * * * [misc]progress: [ 25 / 72 ] simplifiying candidate # 1547109433.145 * * * * [misc]progress: [ 26 / 72 ] simplifiying candidate # 1547109433.145 * * * * [misc]progress: [ 27 / 72 ] simplifiying candidate # 1547109433.145 * * * * [misc]progress: [ 28 / 72 ] simplifiying candidate # 1547109433.145 * * * * [misc]progress: [ 29 / 72 ] simplifiying candidate # 1547109433.145 * * * * [misc]progress: [ 30 / 72 ] simplifiying candidate # 1547109433.145 * * * * [misc]progress: [ 31 / 72 ] simplifiying candidate # 1547109433.145 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1547109433.145 * * [misc]simplify: iters left: 6 (9 enodes) 1547109433.147 * * [misc]simplify: iters left: 5 (15 enodes) 1547109433.149 * * [misc]simplify: iters left: 4 (22 enodes) 1547109433.152 * * [misc]simplify: iters left: 3 (32 enodes) 1547109433.156 * * [misc]simplify: iters left: 2 (48 enodes) 1547109433.164 * * [misc]simplify: iters left: 1 (49 enodes) 1547109433.168 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1547109433.168 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1547109433.168 * * * * [misc]progress: [ 32 / 72 ] simplifiying candidate # 1547109433.168 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1547109433.168 * * [misc]simplify: iters left: 6 (8 enodes) 1547109433.169 * * [misc]simplify: iters left: 5 (13 enodes) 1547109433.171 * * [misc]simplify: iters left: 4 (20 enodes) 1547109433.178 * * [misc]simplify: iters left: 3 (30 enodes) 1547109433.186 * * [misc]simplify: iters left: 2 (45 enodes) 1547109433.201 * * [misc]simplify: iters left: 1 (46 enodes) 1547109433.208 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1547109433.208 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1547109433.208 * * * * [misc]progress: [ 33 / 72 ] simplifiying candidate # 1547109433.209 * [enter]simplify: Simplifying (sqrt 1) 1547109433.209 * * [misc]simplify: iters left: 1 (2 enodes) 1547109433.210 * [exit]simplify: Simplified to 1 1547109433.210 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1547109433.210 * * * * [misc]progress: [ 34 / 72 ] simplifiying candidate # 1547109433.210 * * * * [misc]progress: [ 35 / 72 ] simplifiying candidate # 1547109433.210 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1547109433.211 * * [misc]simplify: iters left: 6 (7 enodes) 1547109433.213 * * [misc]simplify: iters left: 5 (12 enodes) 1547109433.216 * * [misc]simplify: iters left: 4 (19 enodes) 1547109433.222 * * [misc]simplify: iters left: 3 (29 enodes) 1547109433.230 * * [misc]simplify: iters left: 2 (45 enodes) 1547109433.246 * * [misc]simplify: iters left: 1 (46 enodes) 1547109433.253 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1547109433.253 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (fabs (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1547109433.253 * * * * [misc]progress: [ 36 / 72 ] simplifiying candidate # 1547109433.253 * * * * [misc]progress: [ 37 / 72 ] simplifiying candidate # 1547109433.253 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1547109433.254 * * [misc]simplify: iters left: 6 (7 enodes) 1547109433.256 * * [misc]simplify: iters left: 5 (12 enodes) 1547109433.259 * * [misc]simplify: iters left: 4 (19 enodes) 1547109433.266 * * [misc]simplify: iters left: 3 (29 enodes) 1547109433.273 * * [misc]simplify: iters left: 2 (45 enodes) 1547109433.289 * * [misc]simplify: iters left: 1 (46 enodes) 1547109433.294 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1547109433.295 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (+ 1 (+ 1/2 1/2)))) 1547109433.295 * [enter]simplify: Simplifying (+ 1 (+ 1/2 1/2)) 1547109433.295 * * [misc]simplify: iters left: 4 (4 enodes) 1547109433.297 * * [misc]simplify: iters left: 3 (11 enodes) 1547109433.298 * [exit]simplify: Simplified to 2 1547109433.298 * [misc]simplify: Simplified (2 2) to (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 2)) 1547109433.298 * * * * [misc]progress: [ 38 / 72 ] simplifiying candidate # 1547109433.299 * [enter]simplify: Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1547109433.299 * * [misc]simplify: iters left: 6 (9 enodes) 1547109433.300 * * [misc]simplify: iters left: 5 (17 enodes) 1547109433.303 * * [misc]simplify: iters left: 4 (29 enodes) 1547109433.308 * * [misc]simplify: iters left: 3 (41 enodes) 1547109433.318 * * [misc]simplify: iters left: 2 (59 enodes) 1547109433.335 * * [misc]simplify: iters left: 1 (60 enodes) 1547109433.343 * [exit]simplify: Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (atan2 1 (+ (* N N) (+ N 1)))) 1547109433.343 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (* (atan2 1 (+ (* N N) (+ N 1))) (atan2 1 (+ (* N N) (+ N 1)))) 1/2)) 1547109433.343 * * * * [misc]progress: [ 39 / 72 ] simplifiying candidate # 1547109433.344 * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1547109433.344 * * [misc]simplify: iters left: 6 (10 enodes) 1547109433.347 * * [misc]simplify: iters left: 5 (18 enodes) 1547109433.352 * * [misc]simplify: iters left: 4 (30 enodes) 1547109433.356 * * [misc]simplify: iters left: 3 (43 enodes) 1547109433.362 * * [misc]simplify: iters left: 2 (61 enodes) 1547109433.371 * * [misc]simplify: iters left: 1 (62 enodes) 1547109433.375 * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (* N N))) 1547109433.375 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N 1) (* N N))) 1)) 1547109433.375 * * * * [misc]progress: [ 40 / 72 ] simplifiying candidate # 1547109433.376 * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1547109433.376 * * [misc]simplify: iters left: 6 (10 enodes) 1547109433.379 * * [misc]simplify: iters left: 5 (18 enodes) 1547109433.383 * * [misc]simplify: iters left: 4 (30 enodes) 1547109433.390 * * [misc]simplify: iters left: 3 (43 enodes) 1547109433.401 * * [misc]simplify: iters left: 2 (61 enodes) 1547109433.421 * * [misc]simplify: iters left: 1 (62 enodes) 1547109433.429 * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (* N N))) 1547109433.429 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N 1) (* N N))) 1)) 1547109433.429 * * * * [misc]progress: [ 41 / 72 ] simplifiying candidate # 1547109433.429 * * * * [misc]progress: [ 42 / 72 ] simplifiying candidate # 1547109433.430 * [enter]simplify: Simplifying (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (+ (log (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (log (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1547109433.430 * * [misc]simplify: iters left: 6 (12 enodes) 1547109433.434 * * [misc]simplify: iters left: 5 (20 enodes) 1547109433.439 * * [misc]simplify: iters left: 4 (29 enodes) 1547109433.449 * * [misc]simplify: iters left: 3 (39 enodes) 1547109433.458 * * [misc]simplify: iters left: 2 (55 enodes) 1547109433.474 * * [misc]simplify: iters left: 1 (56 enodes) 1547109433.483 * [exit]simplify: Simplified to (+ (log (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (+ (log (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) (log (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))))) 1547109433.483 * [misc]simplify: Simplified (2 1) to (λ (N) (exp (+ (log (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (+ (log (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) (log (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))))))) 1547109433.483 * * * * [misc]progress: [ 43 / 72 ] simplifiying candidate # 1547109433.483 * [enter]simplify: Simplifying (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1547109433.484 * * [misc]simplify: iters left: 6 (12 enodes) 1547109433.485 * * [misc]simplify: iters left: 5 (20 enodes) 1547109433.489 * * [misc]simplify: iters left: 4 (34 enodes) 1547109433.497 * * [misc]simplify: iters left: 3 (46 enodes) 1547109433.503 * * [misc]simplify: iters left: 2 (61 enodes) 1547109433.511 * * [misc]simplify: iters left: 1 (63 enodes) 1547109433.516 * [exit]simplify: Simplified to (+ (log (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1547109433.516 * [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)))))))) 1547109433.516 * * * * [misc]progress: [ 44 / 72 ] simplifiying candidate # 1547109433.516 * * * * [misc]progress: [ 45 / 72 ] simplifiying candidate # 1547109433.516 * * * * [misc]progress: [ 46 / 72 ] simplifiying candidate # 1547109433.517 * [enter]simplify: Simplifying (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1547109433.517 * * [misc]simplify: iters left: 6 (14 enodes) 1547109433.520 * * [misc]simplify: iters left: 5 (33 enodes) 1547109433.525 * * [misc]simplify: iters left: 4 (82 enodes) 1547109433.542 * * [misc]simplify: iters left: 3 (140 enodes) 1547109433.567 * * [misc]simplify: iters left: 2 (194 enodes) 1547109433.606 * * [misc]simplify: iters left: 1 (200 enodes) 1547109433.620 * [exit]simplify: Simplified to (pow (atan2 1 (+ (* N N) (+ N 1))) 3) 1547109433.620 * [misc]simplify: Simplified (2 1) to (λ (N) (cbrt (pow (atan2 1 (+ (* N N) (+ N 1))) 3))) 1547109433.620 * * * * [misc]progress: [ 47 / 72 ] simplifiying candidate # 1547109433.620 * [enter]simplify: Simplifying (* (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1547109433.620 * * [misc]simplify: iters left: 6 (14 enodes) 1547109433.623 * * [misc]simplify: iters left: 5 (32 enodes) 1547109433.630 * * [misc]simplify: iters left: 4 (75 enodes) 1547109433.650 * * [misc]simplify: iters left: 3 (140 enodes) 1547109433.677 * * [misc]simplify: iters left: 2 (177 enodes) 1547109433.709 * * [misc]simplify: iters left: 1 (183 enodes) 1547109433.727 * [exit]simplify: Simplified to (pow (atan2 1 (+ (+ N 1) (* N N))) 3) 1547109433.727 * [misc]simplify: Simplified (2 1) to (λ (N) (cbrt (pow (atan2 1 (+ (+ N 1) (* N N))) 3))) 1547109433.727 * * * * [misc]progress: [ 48 / 72 ] simplifiying candidate # 1547109433.727 * * * * [misc]progress: [ 49 / 72 ] simplifiying candidate # 1547109433.727 * * * * [misc]progress: [ 50 / 72 ] simplifiying candidate # 1547109433.727 * [enter]simplify: Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1547109433.728 * * [misc]simplify: iters left: 6 (9 enodes) 1547109433.731 * * [misc]simplify: iters left: 5 (17 enodes) 1547109433.736 * * [misc]simplify: iters left: 4 (29 enodes) 1547109433.740 * * [misc]simplify: iters left: 3 (41 enodes) 1547109433.746 * * [misc]simplify: iters left: 2 (59 enodes) 1547109433.754 * * [misc]simplify: iters left: 1 (60 enodes) 1547109433.761 * [exit]simplify: Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (atan2 1 (+ (* N N) (+ N 1)))) 1547109433.761 * [misc]simplify: Simplified (2 1) to (λ (N) (sqrt (* (atan2 1 (+ (* N N) (+ N 1))) (atan2 1 (+ (* N N) (+ N 1)))))) 1547109433.761 * * * * [misc]progress: [ 51 / 72 ] simplifiying candidate # 1547109433.761 * * * * [misc]progress: [ 52 / 72 ] simplifiying candidate # 1547109433.761 * * * * [misc]progress: [ 53 / 72 ] simplifiying candidate # 1547109433.762 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1547109433.762 * * [misc]simplify: iters left: 6 (8 enodes) 1547109433.764 * * [misc]simplify: iters left: 5 (13 enodes) 1547109433.767 * * [misc]simplify: iters left: 4 (20 enodes) 1547109433.774 * * [misc]simplify: iters left: 3 (30 enodes) 1547109433.782 * * [misc]simplify: iters left: 2 (45 enodes) 1547109433.797 * * [misc]simplify: iters left: 1 (46 enodes) 1547109433.803 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1547109433.803 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))))) 1547109433.803 * * * * [misc]progress: [ 54 / 72 ] simplifiying candidate # 1547109433.804 * [enter]simplify: Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1547109433.804 * * [misc]simplify: iters left: 6 (9 enodes) 1547109433.806 * * [misc]simplify: iters left: 5 (14 enodes) 1547109433.810 * * [misc]simplify: iters left: 4 (21 enodes) 1547109433.818 * * [misc]simplify: iters left: 3 (31 enodes) 1547109433.826 * * [misc]simplify: iters left: 2 (46 enodes) 1547109433.843 * * [misc]simplify: iters left: 1 (48 enodes) 1547109433.847 * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1547109433.848 * [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 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))) 1547109433.848 * * * * [misc]progress: [ 55 / 72 ] simplifiying candidate # 1547109433.848 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1547109433.848 * * [misc]simplify: iters left: 6 (9 enodes) 1547109433.849 * * [misc]simplify: iters left: 5 (15 enodes) 1547109433.851 * * [misc]simplify: iters left: 4 (22 enodes) 1547109433.855 * * [misc]simplify: iters left: 3 (32 enodes) 1547109433.859 * * [misc]simplify: iters left: 2 (48 enodes) 1547109433.867 * * [misc]simplify: iters left: 1 (49 enodes) 1547109433.870 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1547109433.870 * [misc]simplify: Simplified (2 1) to (λ (N) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))) 1547109433.870 * * * * [misc]progress: [ 56 / 72 ] simplifiying candidate # 1547109433.871 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1547109433.871 * * [misc]simplify: iters left: 6 (8 enodes) 1547109433.872 * * [misc]simplify: iters left: 5 (13 enodes) 1547109433.874 * * [misc]simplify: iters left: 4 (20 enodes) 1547109433.877 * * [misc]simplify: iters left: 3 (30 enodes) 1547109433.881 * * [misc]simplify: iters left: 2 (45 enodes) 1547109433.888 * * [misc]simplify: iters left: 1 (46 enodes) 1547109433.892 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1547109433.892 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))) 1547109433.892 * * * * [misc]progress: [ 57 / 72 ] simplifiying candidate # 1547109433.892 * [enter]simplify: Simplifying (sqrt 1) 1547109433.892 * * [misc]simplify: iters left: 1 (2 enodes) 1547109433.893 * [exit]simplify: Simplified to 1 1547109433.893 * [misc]simplify: Simplified (2 1) to (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))) 1547109433.893 * * * * [misc]progress: [ 58 / 72 ] simplifiying candidate # 1547109433.893 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1547109433.893 * * [misc]simplify: iters left: 6 (8 enodes) 1547109433.894 * * [misc]simplify: iters left: 5 (13 enodes) 1547109433.897 * * [misc]simplify: iters left: 4 (20 enodes) 1547109433.901 * * [misc]simplify: iters left: 3 (30 enodes) 1547109433.905 * * [misc]simplify: iters left: 2 (45 enodes) 1547109433.913 * * [misc]simplify: iters left: 1 (46 enodes) 1547109433.917 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1547109433.917 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))))) 1547109433.917 * * * * [misc]progress: [ 59 / 72 ] simplifiying candidate # 1547109433.917 * * * * [misc]progress: [ 60 / 72 ] simplifiying candidate # 1547109433.917 * * * * [misc]progress: [ 61 / 72 ] simplifiying candidate # 1547109433.917 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109433.917 * * [misc]simplify: iters left: 6 (8 enodes) 1547109433.919 * * [misc]simplify: iters left: 5 (15 enodes) 1547109433.921 * * [misc]simplify: iters left: 4 (22 enodes) 1547109433.923 * * [misc]simplify: iters left: 3 (24 enodes) 1547109433.926 * * [misc]simplify: iters left: 2 (30 enodes) 1547109433.934 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1547109433.934 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))))) 1547109433.934 * * * * [misc]progress: [ 62 / 72 ] simplifiying candidate # 1547109433.934 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109433.934 * * [misc]simplify: iters left: 6 (8 enodes) 1547109433.937 * * [misc]simplify: iters left: 5 (15 enodes) 1547109433.941 * * [misc]simplify: iters left: 4 (22 enodes) 1547109433.947 * * [misc]simplify: iters left: 3 (24 enodes) 1547109433.952 * * [misc]simplify: iters left: 2 (30 enodes) 1547109433.956 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1547109433.957 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))))) 1547109433.957 * * * * [misc]progress: [ 63 / 72 ] simplifiying candidate # 1547109433.957 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109433.957 * * [misc]simplify: iters left: 6 (8 enodes) 1547109433.958 * * [misc]simplify: iters left: 5 (15 enodes) 1547109433.960 * * [misc]simplify: iters left: 4 (22 enodes) 1547109433.963 * * [misc]simplify: iters left: 3 (24 enodes) 1547109433.966 * * [misc]simplify: iters left: 2 (30 enodes) 1547109433.970 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1547109433.970 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))))) 1547109433.970 * * * * [misc]progress: [ 64 / 72 ] simplifiying candidate # 1547109433.970 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109433.970 * * [misc]simplify: iters left: 6 (8 enodes) 1547109433.971 * * [misc]simplify: iters left: 5 (15 enodes) 1547109433.973 * * [misc]simplify: iters left: 4 (22 enodes) 1547109433.976 * * [misc]simplify: iters left: 3 (24 enodes) 1547109433.979 * * [misc]simplify: iters left: 2 (30 enodes) 1547109433.983 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1547109433.983 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1547109433.983 * * * * [misc]progress: [ 65 / 72 ] simplifiying candidate # 1547109433.983 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109433.983 * * [misc]simplify: iters left: 6 (8 enodes) 1547109433.985 * * [misc]simplify: iters left: 5 (15 enodes) 1547109433.987 * * [misc]simplify: iters left: 4 (22 enodes) 1547109433.989 * * [misc]simplify: iters left: 3 (24 enodes) 1547109433.992 * * [misc]simplify: iters left: 2 (30 enodes) 1547109433.998 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1547109433.998 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1547109433.998 * * * * [misc]progress: [ 66 / 72 ] simplifiying candidate # 1547109433.998 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109433.998 * * [misc]simplify: iters left: 6 (8 enodes) 1547109434.002 * * [misc]simplify: iters left: 5 (15 enodes) 1547109434.006 * * [misc]simplify: iters left: 4 (22 enodes) 1547109434.009 * * [misc]simplify: iters left: 3 (24 enodes) 1547109434.012 * * [misc]simplify: iters left: 2 (30 enodes) 1547109434.017 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1547109434.017 * [misc]simplify: Simplified (2 2 1 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1547109434.017 * * * * [misc]progress: [ 67 / 72 ] simplifiying candidate # 1547109434.017 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109434.017 * * [misc]simplify: iters left: 6 (8 enodes) 1547109434.018 * * [misc]simplify: iters left: 5 (15 enodes) 1547109434.020 * * [misc]simplify: iters left: 4 (22 enodes) 1547109434.023 * * [misc]simplify: iters left: 3 (24 enodes) 1547109434.026 * * [misc]simplify: iters left: 2 (30 enodes) 1547109434.031 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1547109434.031 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1547109434.031 * * * * [misc]progress: [ 68 / 72 ] simplifiying candidate # 1547109434.031 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109434.031 * * [misc]simplify: iters left: 6 (8 enodes) 1547109434.033 * * [misc]simplify: iters left: 5 (15 enodes) 1547109434.035 * * [misc]simplify: iters left: 4 (22 enodes) 1547109434.038 * * [misc]simplify: iters left: 3 (24 enodes) 1547109434.041 * * [misc]simplify: iters left: 2 (30 enodes) 1547109434.047 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1547109434.047 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1547109434.047 * * * * [misc]progress: [ 69 / 72 ] simplifiying candidate # 1547109434.048 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1547109434.048 * * [misc]simplify: iters left: 6 (8 enodes) 1547109434.050 * * [misc]simplify: iters left: 5 (15 enodes) 1547109434.054 * * [misc]simplify: iters left: 4 (22 enodes) 1547109434.058 * * [misc]simplify: iters left: 3 (24 enodes) 1547109434.061 * * [misc]simplify: iters left: 2 (30 enodes) 1547109434.065 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1547109434.065 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1547109434.065 * * * * [misc]progress: [ 70 / 72 ] simplifiying candidate # 1547109434.065 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1547109434.065 * * [misc]simplify: iters left: 6 (7 enodes) 1547109434.066 * * [misc]simplify: iters left: 5 (14 enodes) 1547109434.068 * * [misc]simplify: iters left: 4 (21 enodes) 1547109434.071 * * [misc]simplify: iters left: 3 (23 enodes) 1547109434.074 * * [misc]simplify: iters left: 2 (29 enodes) 1547109434.077 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1547109434.078 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1547109434.078 * * * * [misc]progress: [ 71 / 72 ] simplifiying candidate # 1547109434.078 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1547109434.078 * * [misc]simplify: iters left: 6 (7 enodes) 1547109434.079 * * [misc]simplify: iters left: 5 (14 enodes) 1547109434.081 * * [misc]simplify: iters left: 4 (21 enodes) 1547109434.084 * * [misc]simplify: iters left: 3 (23 enodes) 1547109434.087 * * [misc]simplify: iters left: 2 (29 enodes) 1547109434.091 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1547109434.091 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1547109434.091 * * * * [misc]progress: [ 72 / 72 ] simplifiying candidate # 1547109434.091 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1547109434.091 * * [misc]simplify: iters left: 6 (7 enodes) 1547109434.093 * * [misc]simplify: iters left: 5 (14 enodes) 1547109434.094 * * [misc]simplify: iters left: 4 (21 enodes) 1547109434.097 * * [misc]simplify: iters left: 3 (23 enodes) 1547109434.100 * * [misc]simplify: iters left: 2 (29 enodes) 1547109434.104 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1547109434.105 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1547109434.105 * * * [misc]progress: adding candidates to table 1547109434.725 * [misc]progress: [Phase 3 of 3] Extracting. 1547109434.725 * * [misc]regime: Finding splitpoints for: (# # # # # #) 1547109434.726 * * * [misc]regime-changes: Trying 1 branch expressions: (N) 1547109434.726 * * * * [misc]regimes: Trying to branch on N from (# # # # # #) 1547109434.756 * * * [misc]regime: Found split indices: #