1546936631.062 * [misc]progress: [Phase 1 of 3] Setting up. 1546936631.062 * * * [misc]progress: [1/2] Preparing points 1546936631.062 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1546936631.128 * * * * [misc]points: Filtering points with unrepresentable outputs 1546936631.129 * * * * [exit]points: Sampled 256 points with exact outputs 1546936631.129 * * * [misc]progress: [2/2] Setting up program. 1546936631.134 * [misc]progress: [Phase 2 of 3] Improving. 1546936631.134 * * * * [misc]progress: [ 1 / 1 ] simplifiying candidate # 1546936631.134 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1546936631.135 * * [misc]simplify: iters left: 5 (6 enodes) 1546936631.137 * * [misc]simplify: iters left: 4 (11 enodes) 1546936631.139 * * [misc]simplify: iters left: 3 (12 enodes) 1546936631.142 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1546936631.142 * [misc]simplify: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1546936631.147 * * [misc]progress: iteration 1 / 4 1546936631.148 * * * [misc]progress: picking best candidate 1546936631.152 * * * * [misc]pick: Picked # 1546936631.152 * * * [misc]progress: localizing error 1546936631.173 * * * [misc]progress: generating rewritten candidates 1546936631.174 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) 1546936631.181 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) 1546936631.183 * * * [misc]progress: generating series expansions 1546936631.183 * * * * [misc]progress: [ 1 / 2 ] generating series at (2) 1546936631.183 * [misc]backup-simplify: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 1546936631.183 * [misc]approximate: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 1546936631.183 * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 1546936631.183 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N 1546936631.183 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1546936631.183 * [misc]taylor: Taking taylor expansion of (atan N) in N 1546936631.183 * [misc]backup-simplify: Simplify (atan N) into (atan N) 1546936631.183 * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 1546936631.183 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N 1546936631.183 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1546936631.183 * [misc]taylor: Taking taylor expansion of (atan N) in N 1546936631.183 * [misc]backup-simplify: Simplify (atan N) into (atan N) 1546936631.184 * [misc]backup-simplify: Simplify (- (atan N)) into (- (atan N)) 1546936631.184 * [misc]backup-simplify: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 1546936631.184 * [misc]backup-simplify: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 1546936631.184 * [misc]backup-simplify: Simplify (- 0) into 0 1546936631.184 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.184 * [misc]backup-simplify: Simplify 0 into 0 1546936631.185 * [misc]backup-simplify: Simplify (- 0) into 0 1546936631.185 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.185 * [misc]backup-simplify: Simplify 0 into 0 1546936631.185 * [misc]backup-simplify: Simplify (- 0) into 0 1546936631.185 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.185 * [misc]backup-simplify: Simplify 0 into 0 1546936631.185 * [misc]backup-simplify: Simplify (- 0) into 0 1546936631.186 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.186 * [misc]backup-simplify: Simplify 0 into 0 1546936631.186 * [misc]backup-simplify: Simplify (- 0) into 0 1546936631.186 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.186 * [misc]backup-simplify: Simplify 0 into 0 1546936631.186 * [misc]backup-simplify: Simplify (- 0) into 0 1546936631.186 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.187 * [misc]backup-simplify: Simplify 0 into 0 1546936631.187 * [misc]backup-simplify: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 1546936631.187 * [misc]backup-simplify: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 1546936631.187 * [misc]approximate: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 1546936631.187 * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 1546936631.187 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 1546936631.187 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1546936631.187 * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N 1546936631.187 * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 1546936631.187 * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 1546936631.187 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 1546936631.187 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1546936631.187 * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N 1546936631.188 * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 1546936631.188 * [misc]backup-simplify: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 1546936631.188 * [misc]backup-simplify: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 1546936631.188 * [misc]backup-simplify: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 1546936631.188 * [misc]backup-simplify: Simplify (- 0) into 0 1546936631.189 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.189 * [misc]backup-simplify: Simplify 0 into 0 1546936631.189 * [misc]backup-simplify: Simplify (- 0) into 0 1546936631.189 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.189 * [misc]backup-simplify: Simplify 0 into 0 1546936631.189 * [misc]backup-simplify: Simplify (- 0) into 0 1546936631.189 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.189 * [misc]backup-simplify: Simplify 0 into 0 1546936631.190 * [misc]backup-simplify: Simplify (- 0) into 0 1546936631.190 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.190 * [misc]backup-simplify: Simplify 0 into 0 1546936631.190 * [misc]backup-simplify: Simplify (- 0) into 0 1546936631.190 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.190 * [misc]backup-simplify: Simplify 0 into 0 1546936631.190 * [misc]backup-simplify: Simplify (- 0) into 0 1546936631.191 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.191 * [misc]backup-simplify: Simplify 0 into 0 1546936631.191 * [misc]backup-simplify: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 1546936631.191 * [misc]backup-simplify: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 1546936631.191 * [misc]approximate: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 1546936631.191 * [misc]taylor: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 1546936631.191 * [misc]taylor: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 1546936631.191 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1546936631.191 * [misc]taylor: Taking taylor expansion of (atan (/ -1 N)) in N 1546936631.191 * [misc]backup-simplify: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 1546936631.191 * [misc]taylor: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 1546936631.191 * [misc]taylor: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 1546936631.192 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1546936631.192 * [misc]taylor: Taking taylor expansion of (atan (/ -1 N)) in N 1546936631.192 * [misc]backup-simplify: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 1546936631.192 * [misc]backup-simplify: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 1546936631.192 * [misc]backup-simplify: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 1546936631.192 * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 1546936631.192 * [misc]backup-simplify: Simplify (- 0) into 0 1546936631.193 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.193 * [misc]backup-simplify: Simplify 0 into 0 1546936631.193 * [misc]backup-simplify: Simplify (- 0) into 0 1546936631.193 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.193 * [misc]backup-simplify: Simplify 0 into 0 1546936631.193 * [misc]backup-simplify: Simplify (- 0) into 0 1546936631.193 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.193 * [misc]backup-simplify: Simplify 0 into 0 1546936631.193 * [misc]backup-simplify: Simplify (- 0) into 0 1546936631.194 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.194 * [misc]backup-simplify: Simplify 0 into 0 1546936631.194 * [misc]backup-simplify: Simplify (- 0) into 0 1546936631.194 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.194 * [misc]backup-simplify: Simplify 0 into 0 1546936631.195 * [misc]backup-simplify: Simplify (- 0) into 0 1546936631.195 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.195 * [misc]backup-simplify: Simplify 0 into 0 1546936631.195 * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 1546936631.195 * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) 1546936631.195 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1546936631.195 * [misc]approximate: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 1546936631.195 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N 1546936631.195 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1546936631.195 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N 1546936631.195 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1546936631.196 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1546936631.196 * [misc]backup-simplify: Simplify 0 into 0 1546936631.196 * [misc]backup-simplify: Simplify 0 into 0 1546936631.196 * [misc]backup-simplify: Simplify 0 into 0 1546936631.196 * [misc]backup-simplify: Simplify 0 into 0 1546936631.196 * [misc]backup-simplify: Simplify 0 into 0 1546936631.196 * [misc]backup-simplify: Simplify 0 into 0 1546936631.196 * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ N 1)) 1546936631.196 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1546936631.196 * [misc]approximate: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 1546936631.196 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 1546936631.196 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1546936631.196 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 1546936631.196 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1546936631.196 * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 1546936631.197 * [misc]backup-simplify: Simplify 0 into 0 1546936631.197 * [misc]backup-simplify: Simplify 0 into 0 1546936631.197 * [misc]backup-simplify: Simplify 0 into 0 1546936631.197 * [misc]backup-simplify: Simplify 0 into 0 1546936631.197 * [misc]backup-simplify: Simplify 0 into 0 1546936631.197 * [misc]backup-simplify: Simplify 0 into 0 1546936631.197 * [misc]backup-simplify: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) 1546936631.197 * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) 1546936631.197 * [misc]approximate: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0 1546936631.197 * [misc]taylor: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 1546936631.197 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1546936631.197 * [misc]taylor: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 1546936631.197 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1546936631.197 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 1546936631.197 * [misc]backup-simplify: Simplify 0 into 0 1546936631.198 * [misc]backup-simplify: Simplify 0 into 0 1546936631.198 * [misc]backup-simplify: Simplify 0 into 0 1546936631.198 * [misc]backup-simplify: Simplify 0 into 0 1546936631.198 * [misc]backup-simplify: Simplify 0 into 0 1546936631.198 * [misc]backup-simplify: Simplify 0 into 0 1546936631.198 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) 1546936631.198 * * * [misc]progress: simplifying candidates 1546936631.198 * * * * [misc]progress: [ 1 / 28 ] simplifiying candidate # 1546936631.198 * [enter]simplify: Simplifying (- (+ N 1) N) 1546936631.198 * * [misc]simplify: iters left: 4 (4 enodes) 1546936631.200 * * [misc]simplify: iters left: 3 (11 enodes) 1546936631.203 * * [misc]simplify: iters left: 2 (19 enodes) 1546936631.225 * * [misc]simplify: iters left: 1 (25 enodes) 1546936631.229 * [exit]simplify: Simplified to 1 1546936631.229 * [misc]simplify: Simplified (2 1) to (λ (N) (atan2 1 (+ 1 (* (+ N 1) N)))) 1546936631.230 * [enter]simplify: Simplifying (+ 1 (* (+ N 1) N)) 1546936631.230 * * [misc]simplify: iters left: 6 (5 enodes) 1546936631.231 * * [misc]simplify: iters left: 5 (10 enodes) 1546936631.234 * * [misc]simplify: iters left: 4 (17 enodes) 1546936631.239 * * [misc]simplify: iters left: 3 (27 enodes) 1546936631.245 * * [misc]simplify: iters left: 2 (42 enodes) 1546936631.260 * * [misc]simplify: iters left: 1 (43 enodes) 1546936631.265 * [exit]simplify: Simplified to (+ (+ N 1) (* N N)) 1546936631.265 * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ N 1) (* N N)))) 1546936631.265 * * * * [misc]progress: [ 2 / 28 ] simplifiying candidate # 1546936631.265 * [enter]simplify: Simplifying (/ (exp (atan (+ N 1))) (exp (atan N))) 1546936631.266 * * [misc]simplify: iters left: 6 (8 enodes) 1546936631.268 * * [misc]simplify: iters left: 5 (13 enodes) 1546936631.271 * * [misc]simplify: iters left: 4 (15 enodes) 1546936631.273 * * [misc]simplify: iters left: 3 (18 enodes) 1546936631.275 * * [misc]simplify: iters left: 2 (20 enodes) 1546936631.277 * * [misc]simplify: iters left: 1 (24 enodes) 1546936631.280 * [exit]simplify: Simplified to (exp (- (atan (+ 1 N)) (atan N))) 1546936631.281 * [misc]simplify: Simplified (2 1) to (λ (N) (log (exp (- (atan (+ 1 N)) (atan N))))) 1546936631.281 * * * * [misc]progress: [ 3 / 28 ] simplifiying candidate # 1546936631.281 * * * * [misc]progress: [ 4 / 28 ] simplifiying candidate # 1546936631.281 * * * * [misc]progress: [ 5 / 28 ] simplifiying candidate # 1546936631.281 * * * * [misc]progress: [ 6 / 28 ] simplifiying candidate # 1546936631.281 * * * * [misc]progress: [ 7 / 28 ] simplifiying candidate # 1546936631.281 * * * * [misc]progress: [ 8 / 28 ] simplifiying candidate # 1546936631.281 * * * * [misc]progress: [ 9 / 28 ] simplifiying candidate # 1546936631.281 * * * * [misc]progress: [ 10 / 28 ] simplifiying candidate # 1546936631.281 * * * * [misc]progress: [ 11 / 28 ] simplifiying candidate # 1546936631.281 * * * * [misc]progress: [ 12 / 28 ] simplifiying candidate # 1546936631.281 * * * * [misc]progress: [ 13 / 28 ] simplifiying candidate # 1546936631.281 * [enter]simplify: Simplifying (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) 1546936631.281 * * [misc]simplify: iters left: 6 (8 enodes) 1546936631.282 * * [misc]simplify: iters left: 5 (12 enodes) 1546936631.284 * [exit]simplify: Simplified to (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) 1546936631.284 * [misc]simplify: Simplified (2 1) to (λ (N) (* (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) (- (sqrt (atan (+ N 1))) (sqrt (atan N))))) 1546936631.284 * [enter]simplify: Simplifying (- (sqrt (atan (+ N 1))) (sqrt (atan N))) 1546936631.284 * * [misc]simplify: iters left: 6 (8 enodes) 1546936631.285 * * [misc]simplify: iters left: 5 (13 enodes) 1546936631.286 * * [misc]simplify: iters left: 4 (14 enodes) 1546936631.289 * [exit]simplify: Simplified to (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) 1546936631.289 * [misc]simplify: Simplified (2 2) to (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N))))) 1546936631.289 * * * * [misc]progress: [ 14 / 28 ] simplifiying candidate # 1546936631.290 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1546936631.290 * * [misc]simplify: iters left: 5 (6 enodes) 1546936631.291 * * [misc]simplify: iters left: 4 (11 enodes) 1546936631.294 * * [misc]simplify: iters left: 3 (12 enodes) 1546936631.297 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1546936631.297 * [misc]simplify: Simplified (2 2) to (λ (N) (* 1 (- (atan (+ 1 N)) (atan N)))) 1546936631.297 * * * * [misc]progress: [ 15 / 28 ] simplifiying candidate # 1546936631.297 * * * * [misc]progress: [ 16 / 28 ] simplifiying candidate # 1546936631.297 * * * * [misc]progress: [ 17 / 28 ] simplifiying candidate # 1546936631.297 * * * * [misc]progress: [ 18 / 28 ] simplifiying candidate # 1546936631.297 * * * * [misc]progress: [ 19 / 28 ] simplifiying candidate # 1546936631.297 * * * * [misc]progress: [ 20 / 28 ] simplifiying candidate # 1546936631.297 * * * * [misc]progress: [ 21 / 28 ] simplifiying candidate # 1546936631.297 * * * * [misc]progress: [ 22 / 28 ] simplifiying candidate # 1546936631.297 * * * * [misc]progress: [ 23 / 28 ] simplifiying candidate # 1546936631.298 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1546936631.298 * * [misc]simplify: iters left: 5 (6 enodes) 1546936631.300 * * [misc]simplify: iters left: 4 (11 enodes) 1546936631.302 * * [misc]simplify: iters left: 3 (12 enodes) 1546936631.305 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1546936631.305 * [misc]simplify: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1546936631.305 * * * * [misc]progress: [ 24 / 28 ] simplifiying candidate # 1546936631.306 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1546936631.306 * * [misc]simplify: iters left: 5 (6 enodes) 1546936631.307 * * [misc]simplify: iters left: 4 (11 enodes) 1546936631.310 * * [misc]simplify: iters left: 3 (12 enodes) 1546936631.313 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1546936631.313 * [misc]simplify: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1546936631.313 * * * * [misc]progress: [ 25 / 28 ] simplifiying candidate # 1546936631.313 * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) 1546936631.313 * * [misc]simplify: iters left: 5 (6 enodes) 1546936631.315 * * [misc]simplify: iters left: 4 (11 enodes) 1546936631.318 * * [misc]simplify: iters left: 3 (12 enodes) 1546936631.320 * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) 1546936631.321 * [misc]simplify: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1546936631.321 * * * * [misc]progress: [ 26 / 28 ] simplifiying candidate # 1546936631.321 * [enter]simplify: Simplifying (atan (+ N 1)) 1546936631.321 * * [misc]simplify: iters left: 3 (4 enodes) 1546936631.322 * * [misc]simplify: iters left: 2 (7 enodes) 1546936631.324 * [exit]simplify: Simplified to (atan (+ 1 N)) 1546936631.324 * [misc]simplify: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1546936631.324 * * * * [misc]progress: [ 27 / 28 ] simplifiying candidate # 1546936631.324 * [enter]simplify: Simplifying (atan (+ N 1)) 1546936631.324 * * [misc]simplify: iters left: 3 (4 enodes) 1546936631.325 * * [misc]simplify: iters left: 2 (7 enodes) 1546936631.327 * [exit]simplify: Simplified to (atan (+ 1 N)) 1546936631.327 * [misc]simplify: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1546936631.327 * * * * [misc]progress: [ 28 / 28 ] simplifiying candidate # 1546936631.327 * [enter]simplify: Simplifying (atan (+ N 1)) 1546936631.327 * * [misc]simplify: iters left: 3 (4 enodes) 1546936631.328 * * [misc]simplify: iters left: 2 (7 enodes) 1546936631.330 * [exit]simplify: Simplified to (atan (+ 1 N)) 1546936631.330 * [misc]simplify: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) 1546936631.330 * * * [misc]progress: adding candidates to table 1546936631.526 * * [misc]progress: iteration 2 / 4 1546936631.526 * * * [misc]progress: picking best candidate 1546936631.527 * * * * [misc]pick: Picked # 1546936631.527 * * * [misc]progress: localizing error 1546936631.535 * * * [misc]progress: generating rewritten candidates 1546936631.535 * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) 1546936631.536 * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2 2) 1546936631.538 * * * [misc]progress: generating series expansions 1546936631.538 * * * * [misc]progress: [ 1 / 2 ] generating series at (2) 1546936631.538 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936631.538 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1546936631.538 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1546936631.539 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936631.539 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1546936631.539 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936631.539 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936631.539 * [misc]backup-simplify: Simplify 0 into 0 1546936631.539 * [misc]backup-simplify: Simplify 0 into 0 1546936631.539 * [misc]backup-simplify: Simplify 0 into 0 1546936631.539 * [misc]backup-simplify: Simplify 0 into 0 1546936631.539 * [misc]backup-simplify: Simplify 0 into 0 1546936631.539 * [misc]backup-simplify: Simplify 0 into 0 1546936631.539 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936631.539 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1546936631.539 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1546936631.539 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1546936631.539 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1546936631.539 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1546936631.540 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1546936631.540 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1546936631.540 * [misc]backup-simplify: Simplify 0 into 0 1546936631.540 * [misc]backup-simplify: Simplify 0 into 0 1546936631.540 * [misc]backup-simplify: Simplify 0 into 0 1546936631.540 * [misc]backup-simplify: Simplify 0 into 0 1546936631.540 * [misc]backup-simplify: Simplify 0 into 0 1546936631.540 * [misc]backup-simplify: Simplify 0 into 0 1546936631.540 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936631.540 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1546936631.540 * [misc]approximate: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1546936631.540 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1546936631.540 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1546936631.540 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1546936631.540 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1546936631.541 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1546936631.541 * [misc]backup-simplify: Simplify 0 into 0 1546936631.541 * [misc]backup-simplify: Simplify 0 into 0 1546936631.541 * [misc]backup-simplify: Simplify 0 into 0 1546936631.541 * [misc]backup-simplify: Simplify 0 into 0 1546936631.541 * [misc]backup-simplify: Simplify 0 into 0 1546936631.541 * [misc]backup-simplify: Simplify 0 into 0 1546936631.541 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936631.541 * * * * [misc]progress: [ 2 / 2 ] generating series at (2 2 2) 1546936631.541 * [misc]backup-simplify: Simplify (* (+ N 1) N) into (* (+ N 1) N) 1546936631.541 * [misc]approximate: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 1546936631.541 * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N 1546936631.541 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1546936631.541 * [misc]taylor: Taking taylor expansion of N in N 1546936631.541 * [misc]backup-simplify: Simplify 0 into 0 1546936631.541 * [misc]backup-simplify: Simplify 1 into 1 1546936631.541 * [misc]taylor: Taking taylor expansion of 1 in N 1546936631.541 * [misc]backup-simplify: Simplify 1 into 1 1546936631.541 * [misc]taylor: Taking taylor expansion of N in N 1546936631.541 * [misc]backup-simplify: Simplify 0 into 0 1546936631.541 * [misc]backup-simplify: Simplify 1 into 1 1546936631.541 * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N 1546936631.541 * [misc]taylor: Taking taylor expansion of (+ N 1) in N 1546936631.541 * [misc]taylor: Taking taylor expansion of N in N 1546936631.541 * [misc]backup-simplify: Simplify 0 into 0 1546936631.541 * [misc]backup-simplify: Simplify 1 into 1 1546936631.541 * [misc]taylor: Taking taylor expansion of 1 in N 1546936631.541 * [misc]backup-simplify: Simplify 1 into 1 1546936631.541 * [misc]taylor: Taking taylor expansion of N in N 1546936631.541 * [misc]backup-simplify: Simplify 0 into 0 1546936631.541 * [misc]backup-simplify: Simplify 1 into 1 1546936631.542 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546936631.542 * [misc]backup-simplify: Simplify (* 1 0) into 0 1546936631.542 * [misc]backup-simplify: Simplify 0 into 0 1546936631.542 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546936631.542 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 1546936631.542 * [misc]backup-simplify: Simplify 1 into 1 1546936631.542 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.542 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 1546936631.542 * [misc]backup-simplify: Simplify 1 into 1 1546936631.542 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.543 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1546936631.543 * [misc]backup-simplify: Simplify 0 into 0 1546936631.543 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.543 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1546936631.543 * [misc]backup-simplify: Simplify 0 into 0 1546936631.543 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.543 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1546936631.544 * [misc]backup-simplify: Simplify 0 into 0 1546936631.544 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.544 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1546936631.544 * [misc]backup-simplify: Simplify 0 into 0 1546936631.544 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.544 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1546936631.544 * [misc]backup-simplify: Simplify 0 into 0 1546936631.545 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.545 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 1546936631.545 * [misc]backup-simplify: Simplify 0 into 0 1546936631.545 * [misc]backup-simplify: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 1546936631.545 * [misc]backup-simplify: Simplify (* (+ (/ 1 N) 1) (/ 1 N)) into (/ (+ (/ 1 N) 1) N) 1546936631.545 * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 1546936631.545 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 1546936631.545 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1546936631.545 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1546936631.545 * [misc]taylor: Taking taylor expansion of N in N 1546936631.545 * [misc]backup-simplify: Simplify 0 into 0 1546936631.545 * [misc]backup-simplify: Simplify 1 into 1 1546936631.545 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546936631.545 * [misc]taylor: Taking taylor expansion of 1 in N 1546936631.545 * [misc]backup-simplify: Simplify 1 into 1 1546936631.546 * [misc]taylor: Taking taylor expansion of N in N 1546936631.546 * [misc]backup-simplify: Simplify 0 into 0 1546936631.546 * [misc]backup-simplify: Simplify 1 into 1 1546936631.546 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546936631.546 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546936631.546 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 1546936631.546 * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N 1546936631.546 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1546936631.546 * [misc]taylor: Taking taylor expansion of N in N 1546936631.546 * [misc]backup-simplify: Simplify 0 into 0 1546936631.546 * [misc]backup-simplify: Simplify 1 into 1 1546936631.546 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546936631.546 * [misc]taylor: Taking taylor expansion of 1 in N 1546936631.546 * [misc]backup-simplify: Simplify 1 into 1 1546936631.546 * [misc]taylor: Taking taylor expansion of N in N 1546936631.546 * [misc]backup-simplify: Simplify 0 into 0 1546936631.546 * [misc]backup-simplify: Simplify 1 into 1 1546936631.546 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546936631.546 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546936631.546 * [misc]backup-simplify: Simplify 1 into 1 1546936631.546 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546936631.547 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546936631.547 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1546936631.547 * [misc]backup-simplify: Simplify 1 into 1 1546936631.547 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546936631.547 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.547 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1546936631.547 * [misc]backup-simplify: Simplify 0 into 0 1546936631.548 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546936631.548 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.548 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546936631.548 * [misc]backup-simplify: Simplify 0 into 0 1546936631.548 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546936631.548 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.549 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546936631.549 * [misc]backup-simplify: Simplify 0 into 0 1546936631.549 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546936631.549 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.549 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546936631.549 * [misc]backup-simplify: Simplify 0 into 0 1546936631.550 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546936631.550 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.550 * [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 1546936631.550 * [misc]backup-simplify: Simplify 0 into 0 1546936631.551 * [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 1546936631.551 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.551 * [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 1546936631.551 * [misc]backup-simplify: Simplify 0 into 0 1546936631.551 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 1546936631.552 * [misc]backup-simplify: Simplify (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N)) 1546936631.552 * [misc]approximate: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0 1546936631.552 * [misc]taylor: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 1546936631.552 * [misc]taylor: Taking taylor expansion of -1 in N 1546936631.552 * [misc]backup-simplify: Simplify -1 into -1 1546936631.552 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 1546936631.552 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1546936631.552 * [misc]taylor: Taking taylor expansion of 1 in N 1546936631.552 * [misc]backup-simplify: Simplify 1 into 1 1546936631.552 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1546936631.552 * [misc]taylor: Taking taylor expansion of N in N 1546936631.552 * [misc]backup-simplify: Simplify 0 into 0 1546936631.552 * [misc]backup-simplify: Simplify 1 into 1 1546936631.552 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546936631.552 * [misc]taylor: Taking taylor expansion of N in N 1546936631.552 * [misc]backup-simplify: Simplify 0 into 0 1546936631.552 * [misc]backup-simplify: Simplify 1 into 1 1546936631.552 * [misc]backup-simplify: Simplify (- 1) into -1 1546936631.552 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1546936631.552 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546936631.552 * [misc]taylor: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 1546936631.552 * [misc]taylor: Taking taylor expansion of -1 in N 1546936631.552 * [misc]backup-simplify: Simplify -1 into -1 1546936631.552 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 1546936631.552 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 N)) in N 1546936631.552 * [misc]taylor: Taking taylor expansion of 1 in N 1546936631.552 * [misc]backup-simplify: Simplify 1 into 1 1546936631.552 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N 1546936631.552 * [misc]taylor: Taking taylor expansion of N in N 1546936631.552 * [misc]backup-simplify: Simplify 0 into 0 1546936631.552 * [misc]backup-simplify: Simplify 1 into 1 1546936631.552 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546936631.553 * [misc]taylor: Taking taylor expansion of N in N 1546936631.553 * [misc]backup-simplify: Simplify 0 into 0 1546936631.553 * [misc]backup-simplify: Simplify 1 into 1 1546936631.553 * [misc]backup-simplify: Simplify (- 1) into -1 1546936631.553 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1546936631.553 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546936631.553 * [misc]backup-simplify: Simplify (* -1 -1) into 1 1546936631.553 * [misc]backup-simplify: Simplify 1 into 1 1546936631.553 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546936631.553 * [misc]backup-simplify: Simplify (- 0) into 0 1546936631.553 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546936631.554 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 1546936631.554 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 -1)) into -1 1546936631.554 * [misc]backup-simplify: Simplify -1 into -1 1546936631.554 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546936631.554 * [misc]backup-simplify: Simplify (- 0) into 0 1546936631.554 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.554 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1546936631.555 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 1546936631.555 * [misc]backup-simplify: Simplify 0 into 0 1546936631.555 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546936631.555 * [misc]backup-simplify: Simplify (- 0) into 0 1546936631.555 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.555 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546936631.555 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 1546936631.556 * [misc]backup-simplify: Simplify 0 into 0 1546936631.556 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546936631.556 * [misc]backup-simplify: Simplify (- 0) into 0 1546936631.556 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.556 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546936631.557 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1546936631.557 * [misc]backup-simplify: Simplify 0 into 0 1546936631.557 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546936631.557 * [misc]backup-simplify: Simplify (- 0) into 0 1546936631.557 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.557 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546936631.558 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1546936631.558 * [misc]backup-simplify: Simplify 0 into 0 1546936631.558 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546936631.558 * [misc]backup-simplify: Simplify (- 0) into 0 1546936631.558 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.559 * [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 1546936631.559 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1546936631.559 * [misc]backup-simplify: Simplify 0 into 0 1546936631.559 * [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 1546936631.559 * [misc]backup-simplify: Simplify (- 0) into 0 1546936631.560 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546936631.560 * [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 1546936631.560 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1546936631.560 * [misc]backup-simplify: Simplify 0 into 0 1546936631.561 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2)) 1546936631.561 * * * [misc]progress: simplifying candidates 1546936631.561 * * * * [misc]progress: [ 1 / 26 ] simplifiying candidate # 1546936631.561 * * * * [misc]progress: [ 2 / 26 ] simplifiying candidate # 1546936631.561 * * * * [misc]progress: [ 3 / 26 ] simplifiying candidate # 1546936631.561 * * * * [misc]progress: [ 4 / 26 ] simplifiying candidate # 1546936631.561 * * * * [misc]progress: [ 5 / 26 ] simplifiying candidate # 1546936631.561 * * * * [misc]progress: [ 6 / 26 ] simplifiying candidate # 1546936631.561 * * * * [misc]progress: [ 7 / 26 ] simplifiying candidate # 1546936631.561 * * * * [misc]progress: [ 8 / 26 ] simplifiying candidate # 1546936631.561 * * * * [misc]progress: [ 9 / 26 ] simplifiying candidate # 1546936631.561 * * * * [misc]progress: [ 10 / 26 ] simplifiying candidate # 1546936631.561 * * * * [misc]progress: [ 11 / 26 ] simplifiying candidate # 1546936631.561 * * * * [misc]progress: [ 12 / 26 ] simplifiying candidate # 1546936631.561 * * * * [misc]progress: [ 13 / 26 ] simplifiying candidate # 1546936631.561 * * * * [misc]progress: [ 14 / 26 ] simplifiying candidate # 1546936631.561 * * * * [misc]progress: [ 15 / 26 ] simplifiying candidate # 1546936631.561 * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1546936631.562 * * [misc]simplify: iters left: 5 (5 enodes) 1546936631.562 * * [misc]simplify: iters left: 4 (8 enodes) 1546936631.563 * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1546936631.563 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ N 1)) N))))) 1546936631.563 * * * * [misc]progress: [ 16 / 26 ] simplifiying candidate # 1546936631.564 * [enter]simplify: Simplifying (sqrt (+ N 1)) 1546936631.564 * * [misc]simplify: iters left: 3 (4 enodes) 1546936631.564 * * [misc]simplify: iters left: 2 (7 enodes) 1546936631.565 * [exit]simplify: Simplified to (sqrt (+ 1 N)) 1546936631.565 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (sqrt (+ 1 N)) (* (sqrt (+ N 1)) N))))) 1546936631.565 * * * * [misc]progress: [ 17 / 26 ] simplifiying candidate # 1546936631.565 * * * * [misc]progress: [ 18 / 26 ] simplifiying candidate # 1546936631.565 * [enter]simplify: Simplifying (* (+ (pow N 3) (pow 1 3)) N) 1546936631.565 * * [misc]simplify: iters left: 5 (7 enodes) 1546936631.567 * * [misc]simplify: iters left: 4 (16 enodes) 1546936631.569 * * [misc]simplify: iters left: 3 (26 enodes) 1546936631.575 * * [misc]simplify: iters left: 2 (32 enodes) 1546936631.580 * [exit]simplify: Simplified to (+ N (pow N 4)) 1546936631.580 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (/ (+ N (pow N 4)) (+ (* N N) (- (* 1 1) (* N 1))))))) 1546936631.580 * * * * [misc]progress: [ 19 / 26 ] simplifiying candidate # 1546936631.581 * [enter]simplify: Simplifying (* (- (* N N) (* 1 1)) N) 1546936631.581 * * [misc]simplify: iters left: 6 (6 enodes) 1546936631.582 * * [misc]simplify: iters left: 5 (12 enodes) 1546936631.584 * * [misc]simplify: iters left: 4 (15 enodes) 1546936631.585 * * [misc]simplify: iters left: 3 (22 enodes) 1546936631.589 * * [misc]simplify: iters left: 2 (56 enodes) 1546936631.605 * * [misc]simplify: iters left: 1 (136 enodes) 1546936631.650 * [exit]simplify: Simplified to (- (pow N 3) N) 1546936631.650 * [misc]simplify: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (/ (- (pow N 3) N) (- N 1))))) 1546936631.650 * * * * [misc]progress: [ 20 / 26 ] simplifiying candidate # 1546936631.650 * * * * [misc]progress: [ 21 / 26 ] simplifiying candidate # 1546936631.650 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1546936631.650 * * [misc]simplify: iters left: 6 (7 enodes) 1546936631.652 * * [misc]simplify: iters left: 5 (14 enodes) 1546936631.654 * * [misc]simplify: iters left: 4 (21 enodes) 1546936631.656 * * [misc]simplify: iters left: 3 (23 enodes) 1546936631.659 * * [misc]simplify: iters left: 2 (29 enodes) 1546936631.663 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1546936631.663 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1546936631.663 * * * * [misc]progress: [ 22 / 26 ] simplifiying candidate # 1546936631.663 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1546936631.663 * * [misc]simplify: iters left: 6 (7 enodes) 1546936631.664 * * [misc]simplify: iters left: 5 (14 enodes) 1546936631.666 * * [misc]simplify: iters left: 4 (21 enodes) 1546936631.669 * * [misc]simplify: iters left: 3 (23 enodes) 1546936631.672 * * [misc]simplify: iters left: 2 (29 enodes) 1546936631.676 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1546936631.676 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1546936631.676 * * * * [misc]progress: [ 23 / 26 ] simplifiying candidate # 1546936631.676 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1546936631.676 * * [misc]simplify: iters left: 6 (7 enodes) 1546936631.677 * * [misc]simplify: iters left: 5 (14 enodes) 1546936631.679 * * [misc]simplify: iters left: 4 (21 enodes) 1546936631.681 * * [misc]simplify: iters left: 3 (23 enodes) 1546936631.684 * * [misc]simplify: iters left: 2 (29 enodes) 1546936631.688 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1546936631.688 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1546936631.688 * * * * [misc]progress: [ 24 / 26 ] simplifiying candidate # 1546936631.688 * [enter]simplify: Simplifying (+ N (pow N 2)) 1546936631.688 * * [misc]simplify: iters left: 3 (4 enodes) 1546936631.689 * * [misc]simplify: iters left: 2 (6 enodes) 1546936631.690 * * [misc]simplify: iters left: 1 (9 enodes) 1546936631.691 * [exit]simplify: Simplified to (+ N (* N N)) 1546936631.691 * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N))))) 1546936631.691 * * * * [misc]progress: [ 25 / 26 ] simplifiying candidate # 1546936631.691 * [enter]simplify: Simplifying (+ N (pow N 2)) 1546936631.691 * * [misc]simplify: iters left: 3 (4 enodes) 1546936631.692 * * [misc]simplify: iters left: 2 (6 enodes) 1546936631.693 * * [misc]simplify: iters left: 1 (9 enodes) 1546936631.694 * [exit]simplify: Simplified to (+ N (* N N)) 1546936631.694 * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N))))) 1546936631.694 * * * * [misc]progress: [ 26 / 26 ] simplifiying candidate # 1546936631.694 * [enter]simplify: Simplifying (+ N (pow N 2)) 1546936631.694 * * [misc]simplify: iters left: 3 (4 enodes) 1546936631.695 * * [misc]simplify: iters left: 2 (6 enodes) 1546936631.696 * * [misc]simplify: iters left: 1 (9 enodes) 1546936631.697 * [exit]simplify: Simplified to (+ N (* N N)) 1546936631.697 * [misc]simplify: Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N))))) 1546936631.697 * * * [misc]progress: adding candidates to table 1546936631.870 * * [misc]progress: iteration 3 / 4 1546936631.870 * * * [misc]progress: picking best candidate 1546936631.876 * * * * [misc]pick: Picked # 1546936631.876 * * * [misc]progress: localizing error 1546936631.882 * * * [misc]progress: generating rewritten candidates 1546936631.882 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) 1546936631.883 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1546936631.883 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1546936631.888 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) 1546936631.888 * * * [misc]progress: generating series expansions 1546936631.888 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) 1546936631.889 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936631.889 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 1546936631.889 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1546936631.889 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1546936631.889 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936631.889 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936631.889 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936631.889 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1546936631.889 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1546936631.889 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936631.889 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936631.889 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936631.890 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936631.890 * [misc]backup-simplify: Simplify 0 into 0 1546936631.890 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936631.890 * [misc]backup-simplify: Simplify 0 into 0 1546936631.891 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936631.891 * [misc]backup-simplify: Simplify 0 into 0 1546936631.891 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936631.891 * [misc]backup-simplify: Simplify 0 into 0 1546936631.892 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936631.892 * [misc]backup-simplify: Simplify 0 into 0 1546936631.892 * [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 1546936631.892 * [misc]backup-simplify: Simplify 0 into 0 1546936631.893 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936631.893 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1546936631.893 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 1546936631.893 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1546936631.893 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1546936631.893 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1546936631.893 * [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)))) 1546936631.893 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936631.893 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1546936631.893 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1546936631.893 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1546936631.893 * [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)))) 1546936631.893 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936631.894 * [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)))) 1546936631.894 * [misc]backup-simplify: Simplify 0 into 0 1546936631.894 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936631.894 * [misc]backup-simplify: Simplify 0 into 0 1546936631.895 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936631.895 * [misc]backup-simplify: Simplify 0 into 0 1546936631.895 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936631.895 * [misc]backup-simplify: Simplify 0 into 0 1546936631.896 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936631.896 * [misc]backup-simplify: Simplify 0 into 0 1546936631.896 * [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 1546936631.896 * [misc]backup-simplify: Simplify 0 into 0 1546936631.897 * [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)))) 1546936631.897 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1546936631.897 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 1546936631.897 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1546936631.897 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1546936631.897 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1546936631.897 * [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)))) 1546936631.897 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936631.897 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1546936631.897 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1546936631.897 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1546936631.898 * [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)))) 1546936631.898 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936631.898 * [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)))) 1546936631.898 * [misc]backup-simplify: Simplify 0 into 0 1546936631.899 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936631.899 * [misc]backup-simplify: Simplify 0 into 0 1546936631.899 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936631.899 * [misc]backup-simplify: Simplify 0 into 0 1546936631.900 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936631.900 * [misc]backup-simplify: Simplify 0 into 0 1546936631.900 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936631.900 * [misc]backup-simplify: Simplify 0 into 0 1546936631.901 * [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 1546936631.901 * [misc]backup-simplify: Simplify 0 into 0 1546936631.901 * [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)))) 1546936631.901 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1546936631.901 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936631.901 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 1546936631.901 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1546936631.901 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1546936631.901 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936631.901 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936631.901 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936631.901 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1546936631.901 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1546936631.902 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936631.902 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936631.902 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936631.902 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936631.902 * [misc]backup-simplify: Simplify 0 into 0 1546936631.903 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936631.903 * [misc]backup-simplify: Simplify 0 into 0 1546936631.903 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936631.903 * [misc]backup-simplify: Simplify 0 into 0 1546936631.903 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936631.904 * [misc]backup-simplify: Simplify 0 into 0 1546936631.904 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936631.904 * [misc]backup-simplify: Simplify 0 into 0 1546936631.905 * [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 1546936631.905 * [misc]backup-simplify: Simplify 0 into 0 1546936631.905 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936631.905 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1546936631.905 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 1546936631.905 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1546936631.905 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1546936631.905 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1546936631.905 * [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)))) 1546936631.905 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936631.905 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1546936631.905 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1546936631.905 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1546936631.905 * [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)))) 1546936631.906 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936631.906 * [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)))) 1546936631.906 * [misc]backup-simplify: Simplify 0 into 0 1546936631.906 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936631.907 * [misc]backup-simplify: Simplify 0 into 0 1546936631.907 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936631.907 * [misc]backup-simplify: Simplify 0 into 0 1546936631.908 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936631.908 * [misc]backup-simplify: Simplify 0 into 0 1546936631.908 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936631.908 * [misc]backup-simplify: Simplify 0 into 0 1546936631.910 * [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 1546936631.910 * [misc]backup-simplify: Simplify 0 into 0 1546936631.910 * [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)))) 1546936631.910 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1546936631.910 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 1546936631.910 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1546936631.910 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1546936631.911 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1546936631.911 * [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)))) 1546936631.911 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936631.911 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1546936631.911 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1546936631.911 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1546936631.912 * [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)))) 1546936631.912 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936631.912 * [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)))) 1546936631.912 * [misc]backup-simplify: Simplify 0 into 0 1546936631.913 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936631.913 * [misc]backup-simplify: Simplify 0 into 0 1546936631.914 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936631.914 * [misc]backup-simplify: Simplify 0 into 0 1546936631.915 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936631.915 * [misc]backup-simplify: Simplify 0 into 0 1546936631.915 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936631.916 * [misc]backup-simplify: Simplify 0 into 0 1546936631.917 * [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 1546936631.917 * [misc]backup-simplify: Simplify 0 into 0 1546936631.917 * [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)))) 1546936631.917 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1546936631.918 * [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))) 1546936631.918 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1546936631.918 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1546936631.918 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936631.918 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1546936631.918 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936631.918 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936631.918 * [misc]backup-simplify: Simplify 0 into 0 1546936631.918 * [misc]backup-simplify: Simplify 0 into 0 1546936631.918 * [misc]backup-simplify: Simplify 0 into 0 1546936631.918 * [misc]backup-simplify: Simplify 0 into 0 1546936631.918 * [misc]backup-simplify: Simplify 0 into 0 1546936631.918 * [misc]backup-simplify: Simplify 0 into 0 1546936631.919 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936631.919 * [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))) 1546936631.919 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1546936631.919 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1546936631.920 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1546936631.920 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1546936631.920 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1546936631.920 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1546936631.920 * [misc]backup-simplify: Simplify 0 into 0 1546936631.920 * [misc]backup-simplify: Simplify 0 into 0 1546936631.920 * [misc]backup-simplify: Simplify 0 into 0 1546936631.920 * [misc]backup-simplify: Simplify 0 into 0 1546936631.920 * [misc]backup-simplify: Simplify 0 into 0 1546936631.920 * [misc]backup-simplify: Simplify 0 into 0 1546936631.921 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936631.921 * [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))) 1546936631.921 * [misc]approximate: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1546936631.921 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1546936631.921 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1546936631.921 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1546936631.922 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1546936631.922 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1546936631.922 * [misc]backup-simplify: Simplify 0 into 0 1546936631.922 * [misc]backup-simplify: Simplify 0 into 0 1546936631.922 * [misc]backup-simplify: Simplify 0 into 0 1546936631.922 * [misc]backup-simplify: Simplify 0 into 0 1546936631.922 * [misc]backup-simplify: Simplify 0 into 0 1546936631.922 * [misc]backup-simplify: Simplify 0 into 0 1546936631.922 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936631.922 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) 1546936631.923 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936631.923 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1546936631.923 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1546936631.923 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936631.923 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1546936631.923 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936631.923 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936631.923 * [misc]backup-simplify: Simplify 0 into 0 1546936631.923 * [misc]backup-simplify: Simplify 0 into 0 1546936631.923 * [misc]backup-simplify: Simplify 0 into 0 1546936631.924 * [misc]backup-simplify: Simplify 0 into 0 1546936631.924 * [misc]backup-simplify: Simplify 0 into 0 1546936631.924 * [misc]backup-simplify: Simplify 0 into 0 1546936631.924 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936631.924 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1546936631.924 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1546936631.924 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1546936631.924 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1546936631.924 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1546936631.925 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1546936631.925 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1546936631.925 * [misc]backup-simplify: Simplify 0 into 0 1546936631.925 * [misc]backup-simplify: Simplify 0 into 0 1546936631.925 * [misc]backup-simplify: Simplify 0 into 0 1546936631.925 * [misc]backup-simplify: Simplify 0 into 0 1546936631.925 * [misc]backup-simplify: Simplify 0 into 0 1546936631.925 * [misc]backup-simplify: Simplify 0 into 0 1546936631.925 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936631.926 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1546936631.926 * [misc]approximate: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1546936631.926 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1546936631.926 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1546936631.926 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1546936631.926 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1546936631.926 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1546936631.926 * [misc]backup-simplify: Simplify 0 into 0 1546936631.926 * [misc]backup-simplify: Simplify 0 into 0 1546936631.927 * [misc]backup-simplify: Simplify 0 into 0 1546936631.927 * [misc]backup-simplify: Simplify 0 into 0 1546936631.927 * [misc]backup-simplify: Simplify 0 into 0 1546936631.927 * [misc]backup-simplify: Simplify 0 into 0 1546936631.927 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936631.927 * * * [misc]progress: simplifying candidates 1546936631.927 * * * * [misc]progress: [ 1 / 73 ] simplifiying candidate # 1546936631.927 * * * * [misc]progress: [ 2 / 73 ] simplifiying candidate # 1546936631.927 * * * * [misc]progress: [ 3 / 73 ] simplifiying candidate # 1546936631.927 * * * * [misc]progress: [ 4 / 73 ] simplifiying candidate # 1546936631.927 * * * * [misc]progress: [ 5 / 73 ] simplifiying candidate # 1546936631.927 * * * * [misc]progress: [ 6 / 73 ] simplifiying candidate # 1546936631.927 * * * * [misc]progress: [ 7 / 73 ] simplifiying candidate # 1546936631.927 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936631.928 * * [misc]simplify: iters left: 6 (9 enodes) 1546936631.929 * * [misc]simplify: iters left: 5 (15 enodes) 1546936631.931 * * [misc]simplify: iters left: 4 (22 enodes) 1546936631.934 * * [misc]simplify: iters left: 3 (32 enodes) 1546936631.938 * * [misc]simplify: iters left: 2 (48 enodes) 1546936631.946 * * [misc]simplify: iters left: 1 (49 enodes) 1546936631.949 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1546936631.949 * [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)))))))) 1546936631.949 * * * * [misc]progress: [ 8 / 73 ] simplifiying candidate # 1546936631.949 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1546936631.949 * * [misc]simplify: iters left: 6 (8 enodes) 1546936631.952 * * [misc]simplify: iters left: 5 (13 enodes) 1546936631.954 * * [misc]simplify: iters left: 4 (20 enodes) 1546936631.957 * * [misc]simplify: iters left: 3 (30 enodes) 1546936631.961 * * [misc]simplify: iters left: 2 (45 enodes) 1546936631.970 * * [misc]simplify: iters left: 1 (46 enodes) 1546936631.973 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1546936631.973 * [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)))))))) 1546936631.973 * * * * [misc]progress: [ 9 / 73 ] simplifiying candidate # 1546936631.974 * [enter]simplify: Simplifying (sqrt 1) 1546936631.974 * * [misc]simplify: iters left: 1 (2 enodes) 1546936631.974 * [exit]simplify: Simplified to 1 1546936631.974 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1546936631.974 * * * * [misc]progress: [ 10 / 73 ] simplifiying candidate # 1546936631.975 * * * * [misc]progress: [ 11 / 73 ] simplifiying candidate # 1546936631.975 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1546936631.975 * * [misc]simplify: iters left: 6 (7 enodes) 1546936631.976 * * [misc]simplify: iters left: 5 (12 enodes) 1546936631.977 * * [misc]simplify: iters left: 4 (19 enodes) 1546936631.980 * * [misc]simplify: iters left: 3 (29 enodes) 1546936631.984 * * [misc]simplify: iters left: 2 (45 enodes) 1546936631.991 * * [misc]simplify: iters left: 1 (46 enodes) 1546936631.996 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1546936631.997 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (fabs (sqrt (atan2 1 (+ (+ N 1) (* N N))))))) 1546936631.997 * * * * [misc]progress: [ 12 / 73 ] simplifiying candidate # 1546936631.997 * * * * [misc]progress: [ 13 / 73 ] simplifiying candidate # 1546936631.997 * * * * [misc]progress: [ 14 / 73 ] simplifiying candidate # 1546936631.997 * * * * [misc]progress: [ 15 / 73 ] simplifiying candidate # 1546936631.997 * * * * [misc]progress: [ 16 / 73 ] simplifiying candidate # 1546936631.997 * * * * [misc]progress: [ 17 / 73 ] simplifiying candidate # 1546936631.997 * * * * [misc]progress: [ 18 / 73 ] simplifiying candidate # 1546936631.997 * * * * [misc]progress: [ 19 / 73 ] simplifiying candidate # 1546936631.997 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936631.997 * * [misc]simplify: iters left: 6 (9 enodes) 1546936632.000 * * [misc]simplify: iters left: 5 (15 enodes) 1546936632.004 * * [misc]simplify: iters left: 4 (22 enodes) 1546936632.010 * * [misc]simplify: iters left: 3 (32 enodes) 1546936632.018 * * [misc]simplify: iters left: 2 (48 enodes) 1546936632.030 * * [misc]simplify: iters left: 1 (49 enodes) 1546936632.034 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1546936632.034 * [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)))))) 1546936632.034 * * * * [misc]progress: [ 20 / 73 ] simplifiying candidate # 1546936632.034 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1546936632.035 * * [misc]simplify: iters left: 6 (8 enodes) 1546936632.036 * * [misc]simplify: iters left: 5 (13 enodes) 1546936632.037 * * [misc]simplify: iters left: 4 (20 enodes) 1546936632.041 * * [misc]simplify: iters left: 3 (30 enodes) 1546936632.046 * * [misc]simplify: iters left: 2 (45 enodes) 1546936632.053 * * [misc]simplify: iters left: 1 (46 enodes) 1546936632.057 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1546936632.057 * [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)))))) 1546936632.057 * * * * [misc]progress: [ 21 / 73 ] simplifiying candidate # 1546936632.057 * [enter]simplify: Simplifying (sqrt 1) 1546936632.057 * * [misc]simplify: iters left: 1 (2 enodes) 1546936632.058 * [exit]simplify: Simplified to 1 1546936632.058 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936632.058 * * * * [misc]progress: [ 22 / 73 ] simplifiying candidate # 1546936632.058 * * * * [misc]progress: [ 23 / 73 ] simplifiying candidate # 1546936632.058 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1546936632.058 * * [misc]simplify: iters left: 6 (7 enodes) 1546936632.059 * * [misc]simplify: iters left: 5 (12 enodes) 1546936632.061 * * [misc]simplify: iters left: 4 (19 enodes) 1546936632.064 * * [misc]simplify: iters left: 3 (29 enodes) 1546936632.067 * * [misc]simplify: iters left: 2 (45 enodes) 1546936632.074 * * [misc]simplify: iters left: 1 (46 enodes) 1546936632.077 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1546936632.077 * [misc]simplify: Simplified (2 1 1) to (λ (N) (* (fabs (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936632.077 * * * * [misc]progress: [ 24 / 73 ] simplifiying candidate # 1546936632.078 * * * * [misc]progress: [ 25 / 73 ] simplifiying candidate # 1546936632.078 * [enter]simplify: Simplifying (atan2 1 (+ 1 (* (+ N 1) N))) 1546936632.078 * * [misc]simplify: iters left: 6 (6 enodes) 1546936632.079 * * [misc]simplify: iters left: 5 (11 enodes) 1546936632.080 * * [misc]simplify: iters left: 4 (18 enodes) 1546936632.083 * * [misc]simplify: iters left: 3 (28 enodes) 1546936632.086 * * [misc]simplify: iters left: 2 (44 enodes) 1546936632.093 * * [misc]simplify: iters left: 1 (45 enodes) 1546936632.096 * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (* N N))) 1546936632.096 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N 1) (* N N))) (+ 1/2 1/2))) 1546936632.097 * [enter]simplify: Simplifying (+ 1/2 1/2) 1546936632.097 * * [misc]simplify: iters left: 2 (2 enodes) 1546936632.097 * * [misc]simplify: iters left: 1 (3 enodes) 1546936632.098 * [exit]simplify: Simplified to 1 1546936632.098 * [misc]simplify: Simplified (2 2) to (λ (N) (pow (atan2 1 (+ 1 (* (+ N 1) N))) 1)) 1546936632.098 * * * * [misc]progress: [ 26 / 73 ] simplifiying candidate # 1546936632.098 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1546936632.098 * * [misc]simplify: iters left: 6 (7 enodes) 1546936632.099 * * [misc]simplify: iters left: 5 (12 enodes) 1546936632.100 * * [misc]simplify: iters left: 4 (19 enodes) 1546936632.103 * * [misc]simplify: iters left: 3 (29 enodes) 1546936632.107 * * [misc]simplify: iters left: 2 (45 enodes) 1546936632.116 * * [misc]simplify: iters left: 1 (46 enodes) 1546936632.119 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1546936632.119 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (+ 1 1))) 1546936632.119 * [enter]simplify: Simplifying (+ 1 1) 1546936632.119 * * [misc]simplify: iters left: 2 (2 enodes) 1546936632.120 * * [misc]simplify: iters left: 1 (5 enodes) 1546936632.120 * [exit]simplify: Simplified to 2 1546936632.121 * [misc]simplify: Simplified (2 2) to (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 2)) 1546936632.121 * * * * [misc]progress: [ 27 / 73 ] simplifiying candidate # 1546936632.121 * [enter]simplify: Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) 1546936632.121 * * [misc]simplify: iters left: 6 (7 enodes) 1546936632.122 * * [misc]simplify: iters left: 5 (12 enodes) 1546936632.124 * * [misc]simplify: iters left: 4 (19 enodes) 1546936632.129 * * [misc]simplify: iters left: 3 (29 enodes) 1546936632.132 * * [misc]simplify: iters left: 2 (45 enodes) 1546936632.140 * * [misc]simplify: iters left: 1 (46 enodes) 1546936632.143 * [exit]simplify: Simplified to (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N)))) 1546936632.143 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N)))) 1/2)) 1546936632.143 * * * * [misc]progress: [ 28 / 73 ] simplifiying candidate # 1546936632.143 * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1546936632.143 * * [misc]simplify: iters left: 6 (8 enodes) 1546936632.144 * * [misc]simplify: iters left: 5 (13 enodes) 1546936632.146 * * [misc]simplify: iters left: 4 (21 enodes) 1546936632.149 * * [misc]simplify: iters left: 3 (31 enodes) 1546936632.152 * * [misc]simplify: iters left: 2 (46 enodes) 1546936632.160 * * [misc]simplify: iters left: 1 (48 enodes) 1546936632.163 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1546936632.163 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (* N N) (+ N 1))) 1)) 1546936632.163 * * * * [misc]progress: [ 29 / 73 ] simplifiying candidate # 1546936632.163 * * * * [misc]progress: [ 30 / 73 ] simplifiying candidate # 1546936632.164 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1546936632.164 * * [misc]simplify: iters left: 6 (7 enodes) 1546936632.165 * * [misc]simplify: iters left: 5 (12 enodes) 1546936632.166 * * [misc]simplify: iters left: 4 (19 enodes) 1546936632.169 * * [misc]simplify: iters left: 3 (29 enodes) 1546936632.173 * * [misc]simplify: iters left: 2 (45 enodes) 1546936632.180 * * [misc]simplify: iters left: 1 (46 enodes) 1546936632.183 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1546936632.183 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (+ 1 1))) 1546936632.183 * * * * [misc]progress: [ 31 / 73 ] simplifiying candidate # 1546936632.183 * * * * [misc]progress: [ 32 / 73 ] simplifiying candidate # 1546936632.183 * [enter]simplify: Simplifying (+ (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936632.183 * * [misc]simplify: iters left: 6 (9 enodes) 1546936632.186 * * [misc]simplify: iters left: 5 (14 enodes) 1546936632.187 * * [misc]simplify: iters left: 4 (21 enodes) 1546936632.194 * * [misc]simplify: iters left: 3 (31 enodes) 1546936632.202 * * [misc]simplify: iters left: 2 (46 enodes) 1546936632.217 * * [misc]simplify: iters left: 1 (48 enodes) 1546936632.225 * [exit]simplify: Simplified to (+ (log (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1546936632.226 * [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)))))))) 1546936632.226 * * * * [misc]progress: [ 33 / 73 ] simplifiying candidate # 1546936632.226 * * * * [misc]progress: [ 34 / 73 ] simplifiying candidate # 1546936632.226 * * * * [misc]progress: [ 35 / 73 ] simplifiying candidate # 1546936632.226 * [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)))))) 1546936632.226 * * [misc]simplify: iters left: 6 (10 enodes) 1546936632.230 * * [misc]simplify: iters left: 5 (20 enodes) 1546936632.233 * * [misc]simplify: iters left: 4 (36 enodes) 1546936632.239 * * [misc]simplify: iters left: 3 (51 enodes) 1546936632.247 * * [misc]simplify: iters left: 2 (70 enodes) 1546936632.257 * * [misc]simplify: iters left: 1 (74 enodes) 1546936632.263 * [exit]simplify: Simplified to (pow (atan2 1 (+ (+ N 1) (* N N))) 3) 1546936632.263 * [misc]simplify: Simplified (2 1) to (λ (N) (cbrt (pow (atan2 1 (+ (+ N 1) (* N N))) 3))) 1546936632.264 * * * * [misc]progress: [ 36 / 73 ] simplifiying candidate # 1546936632.264 * * * * [misc]progress: [ 37 / 73 ] simplifiying candidate # 1546936632.264 * * * * [misc]progress: [ 38 / 73 ] simplifiying candidate # 1546936632.264 * [enter]simplify: Simplifying (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) 1546936632.264 * * [misc]simplify: iters left: 6 (7 enodes) 1546936632.265 * * [misc]simplify: iters left: 5 (12 enodes) 1546936632.267 * * [misc]simplify: iters left: 4 (19 enodes) 1546936632.272 * * [misc]simplify: iters left: 3 (29 enodes) 1546936632.279 * * [misc]simplify: iters left: 2 (45 enodes) 1546936632.296 * * [misc]simplify: iters left: 1 (46 enodes) 1546936632.302 * [exit]simplify: Simplified to (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N)))) 1546936632.302 * [misc]simplify: Simplified (2 1) to (λ (N) (sqrt (* (atan2 1 (+ (+ N 1) (* N N))) (atan2 1 (+ (+ N 1) (* N N)))))) 1546936632.302 * * * * [misc]progress: [ 39 / 73 ] simplifiying candidate # 1546936632.302 * * * * [misc]progress: [ 40 / 73 ] simplifiying candidate # 1546936632.303 * [enter]simplify: Simplifying (+ 1 (* (+ N 1) N)) 1546936632.303 * * [misc]simplify: iters left: 6 (5 enodes) 1546936632.304 * * [misc]simplify: iters left: 5 (10 enodes) 1546936632.307 * * [misc]simplify: iters left: 4 (17 enodes) 1546936632.313 * * [misc]simplify: iters left: 3 (27 enodes) 1546936632.319 * * [misc]simplify: iters left: 2 (42 enodes) 1546936632.326 * * [misc]simplify: iters left: 1 (43 enodes) 1546936632.329 * [exit]simplify: Simplified to (+ (+ N 1) (* N N)) 1546936632.329 * [misc]simplify: Simplified (2 2) to (λ (N) (atan2 1 (+ (+ N 1) (* N N)))) 1546936632.329 * * * * [misc]progress: [ 41 / 73 ] simplifiying candidate # 1546936632.329 * * * * [misc]progress: [ 42 / 73 ] simplifiying candidate # 1546936632.329 * [enter]simplify: Simplifying (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1546936632.330 * * [misc]simplify: iters left: 6 (8 enodes) 1546936632.331 * * [misc]simplify: iters left: 5 (13 enodes) 1546936632.333 * * [misc]simplify: iters left: 4 (20 enodes) 1546936632.336 * * [misc]simplify: iters left: 3 (30 enodes) 1546936632.340 * * [misc]simplify: iters left: 2 (45 enodes) 1546936632.348 * * [misc]simplify: iters left: 1 (46 enodes) 1546936632.351 * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1546936632.351 * [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))))))) 1546936632.351 * * * * [misc]progress: [ 43 / 73 ] simplifiying candidate # 1546936632.352 * [enter]simplify: Simplifying (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1546936632.352 * * [misc]simplify: iters left: 6 (8 enodes) 1546936632.353 * * [misc]simplify: iters left: 5 (13 enodes) 1546936632.355 * * [misc]simplify: iters left: 4 (20 enodes) 1546936632.358 * * [misc]simplify: iters left: 3 (30 enodes) 1546936632.362 * * [misc]simplify: iters left: 2 (45 enodes) 1546936632.369 * * [misc]simplify: iters left: 1 (46 enodes) 1546936632.373 * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1546936632.373 * [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))))))) 1546936632.373 * * * * [misc]progress: [ 44 / 73 ] simplifiying candidate # 1546936632.373 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1546936632.373 * * [misc]simplify: iters left: 6 (8 enodes) 1546936632.374 * * [misc]simplify: iters left: 5 (13 enodes) 1546936632.376 * * [misc]simplify: iters left: 4 (20 enodes) 1546936632.382 * * [misc]simplify: iters left: 3 (30 enodes) 1546936632.389 * * [misc]simplify: iters left: 2 (45 enodes) 1546936632.404 * * [misc]simplify: iters left: 1 (46 enodes) 1546936632.411 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1546936632.411 * [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))))))) 1546936632.411 * * * * [misc]progress: [ 45 / 73 ] simplifiying candidate # 1546936632.411 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1546936632.411 * * [misc]simplify: iters left: 6 (7 enodes) 1546936632.413 * * [misc]simplify: iters left: 5 (12 enodes) 1546936632.417 * * [misc]simplify: iters left: 4 (19 enodes) 1546936632.423 * * [misc]simplify: iters left: 3 (29 enodes) 1546936632.426 * * [misc]simplify: iters left: 2 (45 enodes) 1546936632.434 * * [misc]simplify: iters left: 1 (46 enodes) 1546936632.437 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1546936632.437 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt 1)) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1546936632.437 * * * * [misc]progress: [ 46 / 73 ] simplifiying candidate # 1546936632.437 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1546936632.437 * * [misc]simplify: iters left: 6 (8 enodes) 1546936632.439 * * [misc]simplify: iters left: 5 (13 enodes) 1546936632.440 * * [misc]simplify: iters left: 4 (20 enodes) 1546936632.443 * * [misc]simplify: iters left: 3 (30 enodes) 1546936632.447 * * [misc]simplify: iters left: 2 (45 enodes) 1546936632.454 * * [misc]simplify: iters left: 1 (46 enodes) 1546936632.457 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1546936632.457 * [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))))))) 1546936632.457 * * * * [misc]progress: [ 47 / 73 ] simplifiying candidate # 1546936632.458 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1546936632.458 * * [misc]simplify: iters left: 6 (7 enodes) 1546936632.459 * * [misc]simplify: iters left: 5 (12 enodes) 1546936632.460 * * [misc]simplify: iters left: 4 (19 enodes) 1546936632.463 * * [misc]simplify: iters left: 3 (29 enodes) 1546936632.470 * * [misc]simplify: iters left: 2 (45 enodes) 1546936632.485 * * [misc]simplify: iters left: 1 (46 enodes) 1546936632.492 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1546936632.492 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1546936632.492 * * * * [misc]progress: [ 48 / 73 ] simplifiying candidate # 1546936632.492 * [enter]simplify: Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936632.492 * * [misc]simplify: iters left: 6 (9 enodes) 1546936632.495 * * [misc]simplify: iters left: 5 (14 enodes) 1546936632.499 * * [misc]simplify: iters left: 4 (21 enodes) 1546936632.502 * * [misc]simplify: iters left: 3 (31 enodes) 1546936632.506 * * [misc]simplify: iters left: 2 (46 enodes) 1546936632.513 * * [misc]simplify: iters left: 1 (48 enodes) 1546936632.517 * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1546936632.517 * [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))))))) 1546936632.517 * * * * [misc]progress: [ 49 / 73 ] simplifiying candidate # 1546936632.518 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936632.518 * * [misc]simplify: iters left: 6 (9 enodes) 1546936632.519 * * [misc]simplify: iters left: 5 (15 enodes) 1546936632.521 * * [misc]simplify: iters left: 4 (22 enodes) 1546936632.524 * * [misc]simplify: iters left: 3 (32 enodes) 1546936632.529 * * [misc]simplify: iters left: 2 (48 enodes) 1546936632.538 * * [misc]simplify: iters left: 1 (49 enodes) 1546936632.541 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1546936632.542 * [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))))))) 1546936632.542 * * * * [misc]progress: [ 50 / 73 ] simplifiying candidate # 1546936632.542 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1546936632.542 * * [misc]simplify: iters left: 6 (8 enodes) 1546936632.543 * * [misc]simplify: iters left: 5 (13 enodes) 1546936632.545 * * [misc]simplify: iters left: 4 (20 enodes) 1546936632.548 * * [misc]simplify: iters left: 3 (30 enodes) 1546936632.552 * * [misc]simplify: iters left: 2 (45 enodes) 1546936632.560 * * [misc]simplify: iters left: 1 (46 enodes) 1546936632.563 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1546936632.563 * [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))))))) 1546936632.563 * * * * [misc]progress: [ 51 / 73 ] simplifiying candidate # 1546936632.563 * [enter]simplify: Simplifying (sqrt 1) 1546936632.563 * * [misc]simplify: iters left: 1 (2 enodes) 1546936632.564 * [exit]simplify: Simplified to 1 1546936632.564 * [misc]simplify: Simplified (2 1) to (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1546936632.564 * * * * [misc]progress: [ 52 / 73 ] simplifiying candidate # 1546936632.564 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1546936632.565 * * [misc]simplify: iters left: 6 (8 enodes) 1546936632.566 * * [misc]simplify: iters left: 5 (13 enodes) 1546936632.567 * * [misc]simplify: iters left: 4 (20 enodes) 1546936632.570 * * [misc]simplify: iters left: 3 (30 enodes) 1546936632.574 * * [misc]simplify: iters left: 2 (45 enodes) 1546936632.582 * * [misc]simplify: iters left: 1 (46 enodes) 1546936632.585 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1546936632.585 * [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))))))) 1546936632.585 * * * * [misc]progress: [ 53 / 73 ] simplifiying candidate # 1546936632.585 * * * * [misc]progress: [ 54 / 73 ] simplifiying candidate # 1546936632.586 * * * * [misc]progress: [ 55 / 73 ] simplifiying candidate # 1546936632.586 * * * * [misc]progress: [ 56 / 73 ] simplifiying candidate # 1546936632.586 * * * * [misc]progress: [ 57 / 73 ] simplifiying candidate # 1546936632.586 * * * * [misc]progress: [ 58 / 73 ] simplifiying candidate # 1546936632.586 * * * * [misc]progress: [ 59 / 73 ] simplifiying candidate # 1546936632.586 * * * * [misc]progress: [ 60 / 73 ] simplifiying candidate # 1546936632.586 * * * * [misc]progress: [ 61 / 73 ] simplifiying candidate # 1546936632.586 * * * * [misc]progress: [ 62 / 73 ] simplifiying candidate # 1546936632.586 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936632.586 * * [misc]simplify: iters left: 6 (8 enodes) 1546936632.587 * * [misc]simplify: iters left: 5 (15 enodes) 1546936632.589 * * [misc]simplify: iters left: 4 (22 enodes) 1546936632.592 * * [misc]simplify: iters left: 3 (24 enodes) 1546936632.595 * * [misc]simplify: iters left: 2 (30 enodes) 1546936632.603 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1546936632.603 * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1546936632.603 * * * * [misc]progress: [ 63 / 73 ] simplifiying candidate # 1546936632.603 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936632.603 * * [misc]simplify: iters left: 6 (8 enodes) 1546936632.606 * * [misc]simplify: iters left: 5 (15 enodes) 1546936632.610 * * [misc]simplify: iters left: 4 (22 enodes) 1546936632.615 * * [misc]simplify: iters left: 3 (24 enodes) 1546936632.620 * * [misc]simplify: iters left: 2 (30 enodes) 1546936632.624 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1546936632.624 * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1546936632.624 * * * * [misc]progress: [ 64 / 73 ] simplifiying candidate # 1546936632.624 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936632.624 * * [misc]simplify: iters left: 6 (8 enodes) 1546936632.626 * * [misc]simplify: iters left: 5 (15 enodes) 1546936632.628 * * [misc]simplify: iters left: 4 (22 enodes) 1546936632.630 * * [misc]simplify: iters left: 3 (24 enodes) 1546936632.633 * * [misc]simplify: iters left: 2 (30 enodes) 1546936632.637 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1546936632.637 * [misc]simplify: Simplified (2 2) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1546936632.637 * * * * [misc]progress: [ 65 / 73 ] simplifiying candidate # 1546936632.637 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936632.637 * * [misc]simplify: iters left: 6 (8 enodes) 1546936632.638 * * [misc]simplify: iters left: 5 (15 enodes) 1546936632.640 * * [misc]simplify: iters left: 4 (22 enodes) 1546936632.643 * * [misc]simplify: iters left: 3 (24 enodes) 1546936632.647 * * [misc]simplify: iters left: 2 (30 enodes) 1546936632.652 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1546936632.653 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936632.653 * * * * [misc]progress: [ 66 / 73 ] simplifiying candidate # 1546936632.653 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936632.653 * * [misc]simplify: iters left: 6 (8 enodes) 1546936632.654 * * [misc]simplify: iters left: 5 (15 enodes) 1546936632.656 * * [misc]simplify: iters left: 4 (22 enodes) 1546936632.659 * * [misc]simplify: iters left: 3 (24 enodes) 1546936632.661 * * [misc]simplify: iters left: 2 (30 enodes) 1546936632.665 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1546936632.665 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936632.665 * * * * [misc]progress: [ 67 / 73 ] simplifiying candidate # 1546936632.666 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936632.666 * * [misc]simplify: iters left: 6 (8 enodes) 1546936632.667 * * [misc]simplify: iters left: 5 (15 enodes) 1546936632.669 * * [misc]simplify: iters left: 4 (22 enodes) 1546936632.671 * * [misc]simplify: iters left: 3 (24 enodes) 1546936632.674 * * [misc]simplify: iters left: 2 (30 enodes) 1546936632.678 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1546936632.678 * [misc]simplify: Simplified (2 1) to (λ (N) (* (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936632.678 * * * * [misc]progress: [ 68 / 73 ] simplifiying candidate # 1546936632.678 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1546936632.678 * * [misc]simplify: iters left: 6 (7 enodes) 1546936632.679 * * [misc]simplify: iters left: 5 (14 enodes) 1546936632.681 * * [misc]simplify: iters left: 4 (21 enodes) 1546936632.684 * * [misc]simplify: iters left: 3 (23 enodes) 1546936632.687 * * [misc]simplify: iters left: 2 (29 enodes) 1546936632.696 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1546936632.696 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1546936632.696 * * * * [misc]progress: [ 69 / 73 ] simplifiying candidate # 1546936632.696 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1546936632.697 * * [misc]simplify: iters left: 6 (7 enodes) 1546936632.699 * * [misc]simplify: iters left: 5 (14 enodes) 1546936632.702 * * [misc]simplify: iters left: 4 (21 enodes) 1546936632.705 * * [misc]simplify: iters left: 3 (23 enodes) 1546936632.708 * * [misc]simplify: iters left: 2 (29 enodes) 1546936632.712 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1546936632.712 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1546936632.712 * * * * [misc]progress: [ 70 / 73 ] simplifiying candidate # 1546936632.712 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1546936632.712 * * [misc]simplify: iters left: 6 (7 enodes) 1546936632.713 * * [misc]simplify: iters left: 5 (14 enodes) 1546936632.715 * * [misc]simplify: iters left: 4 (21 enodes) 1546936632.717 * * [misc]simplify: iters left: 3 (23 enodes) 1546936632.720 * * [misc]simplify: iters left: 2 (29 enodes) 1546936632.724 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1546936632.724 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1546936632.724 * * * * [misc]progress: [ 71 / 73 ] simplifiying candidate # 1546936632.724 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1546936632.724 * * [misc]simplify: iters left: 6 (7 enodes) 1546936632.725 * * [misc]simplify: iters left: 5 (14 enodes) 1546936632.727 * * [misc]simplify: iters left: 4 (21 enodes) 1546936632.730 * * [misc]simplify: iters left: 3 (23 enodes) 1546936632.734 * * [misc]simplify: iters left: 2 (29 enodes) 1546936632.738 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1546936632.738 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1546936632.739 * * * * [misc]progress: [ 72 / 73 ] simplifiying candidate # 1546936632.739 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1546936632.739 * * [misc]simplify: iters left: 6 (7 enodes) 1546936632.740 * * [misc]simplify: iters left: 5 (14 enodes) 1546936632.742 * * [misc]simplify: iters left: 4 (21 enodes) 1546936632.744 * * [misc]simplify: iters left: 3 (23 enodes) 1546936632.747 * * [misc]simplify: iters left: 2 (29 enodes) 1546936632.750 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1546936632.751 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1546936632.751 * * * * [misc]progress: [ 73 / 73 ] simplifiying candidate # 1546936632.751 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1546936632.751 * * [misc]simplify: iters left: 6 (7 enodes) 1546936632.752 * * [misc]simplify: iters left: 5 (14 enodes) 1546936632.754 * * [misc]simplify: iters left: 4 (21 enodes) 1546936632.756 * * [misc]simplify: iters left: 3 (23 enodes) 1546936632.759 * * [misc]simplify: iters left: 2 (29 enodes) 1546936632.763 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1546936632.763 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1546936632.763 * * * [misc]progress: adding candidates to table 1546936633.324 * * [misc]progress: iteration 4 / 4 1546936633.324 * * * [misc]progress: picking best candidate 1546936633.337 * * * * [misc]pick: Picked # 1546936633.337 * * * [misc]progress: localizing error 1546936633.349 * * * [misc]progress: generating rewritten candidates 1546936633.349 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) 1546936633.350 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) 1546936633.350 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) 1546936633.351 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1546936633.366 * * * [misc]progress: generating series expansions 1546936633.366 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) 1546936633.366 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936633.366 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 1546936633.366 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1546936633.366 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1546936633.366 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936633.366 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936633.366 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936633.367 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1546936633.367 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1546936633.367 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936633.367 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936633.367 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936633.367 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936633.367 * [misc]backup-simplify: Simplify 0 into 0 1546936633.368 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936633.368 * [misc]backup-simplify: Simplify 0 into 0 1546936633.368 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936633.368 * [misc]backup-simplify: Simplify 0 into 0 1546936633.369 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936633.369 * [misc]backup-simplify: Simplify 0 into 0 1546936633.369 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936633.369 * [misc]backup-simplify: Simplify 0 into 0 1546936633.370 * [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 1546936633.370 * [misc]backup-simplify: Simplify 0 into 0 1546936633.370 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936633.370 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1546936633.370 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 1546936633.370 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1546936633.370 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1546936633.371 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1546936633.371 * [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)))) 1546936633.371 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936633.371 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1546936633.371 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1546936633.371 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1546936633.371 * [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)))) 1546936633.371 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936633.371 * [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)))) 1546936633.371 * [misc]backup-simplify: Simplify 0 into 0 1546936633.372 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936633.372 * [misc]backup-simplify: Simplify 0 into 0 1546936633.372 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936633.372 * [misc]backup-simplify: Simplify 0 into 0 1546936633.373 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936633.373 * [misc]backup-simplify: Simplify 0 into 0 1546936633.373 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936633.373 * [misc]backup-simplify: Simplify 0 into 0 1546936633.374 * [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 1546936633.374 * [misc]backup-simplify: Simplify 0 into 0 1546936633.374 * [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)))) 1546936633.374 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1546936633.374 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 1546936633.375 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1546936633.375 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1546936633.375 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1546936633.375 * [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)))) 1546936633.375 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936633.375 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1546936633.375 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1546936633.375 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1546936633.375 * [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)))) 1546936633.375 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936633.376 * [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)))) 1546936633.376 * [misc]backup-simplify: Simplify 0 into 0 1546936633.376 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936633.376 * [misc]backup-simplify: Simplify 0 into 0 1546936633.377 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936633.377 * [misc]backup-simplify: Simplify 0 into 0 1546936633.377 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936633.377 * [misc]backup-simplify: Simplify 0 into 0 1546936633.378 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936633.378 * [misc]backup-simplify: Simplify 0 into 0 1546936633.379 * [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 1546936633.379 * [misc]backup-simplify: Simplify 0 into 0 1546936633.379 * [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)))) 1546936633.379 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) 1546936633.379 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936633.379 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 1546936633.379 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1546936633.379 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1546936633.379 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936633.379 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936633.379 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936633.379 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1546936633.379 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1546936633.379 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936633.380 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936633.380 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936633.380 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936633.380 * [misc]backup-simplify: Simplify 0 into 0 1546936633.381 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936633.381 * [misc]backup-simplify: Simplify 0 into 0 1546936633.381 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936633.381 * [misc]backup-simplify: Simplify 0 into 0 1546936633.382 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936633.382 * [misc]backup-simplify: Simplify 0 into 0 1546936633.382 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936633.382 * [misc]backup-simplify: Simplify 0 into 0 1546936633.383 * [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 1546936633.383 * [misc]backup-simplify: Simplify 0 into 0 1546936633.383 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936633.383 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1546936633.383 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 1546936633.383 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1546936633.383 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1546936633.383 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1546936633.383 * [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)))) 1546936633.383 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936633.384 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1546936633.384 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1546936633.384 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1546936633.384 * [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)))) 1546936633.384 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936633.384 * [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)))) 1546936633.384 * [misc]backup-simplify: Simplify 0 into 0 1546936633.385 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936633.385 * [misc]backup-simplify: Simplify 0 into 0 1546936633.385 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936633.385 * [misc]backup-simplify: Simplify 0 into 0 1546936633.386 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936633.386 * [misc]backup-simplify: Simplify 0 into 0 1546936633.386 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936633.386 * [misc]backup-simplify: Simplify 0 into 0 1546936633.387 * [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 1546936633.387 * [misc]backup-simplify: Simplify 0 into 0 1546936633.387 * [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)))) 1546936633.387 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1546936633.387 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 1546936633.387 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1546936633.388 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1546936633.388 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1546936633.388 * [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)))) 1546936633.388 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936633.388 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1546936633.388 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1546936633.388 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1546936633.388 * [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)))) 1546936633.388 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936633.389 * [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)))) 1546936633.389 * [misc]backup-simplify: Simplify 0 into 0 1546936633.389 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936633.389 * [misc]backup-simplify: Simplify 0 into 0 1546936633.390 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936633.390 * [misc]backup-simplify: Simplify 0 into 0 1546936633.390 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936633.390 * [misc]backup-simplify: Simplify 0 into 0 1546936633.391 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936633.391 * [misc]backup-simplify: Simplify 0 into 0 1546936633.391 * [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 1546936633.391 * [misc]backup-simplify: Simplify 0 into 0 1546936633.392 * [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)))) 1546936633.392 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1) 1546936633.392 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936633.392 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in (N) around 0 1546936633.392 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1546936633.392 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1546936633.392 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936633.392 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936633.392 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936633.392 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) in N 1546936633.392 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1546936633.392 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936633.392 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936633.393 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936633.393 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936633.393 * [misc]backup-simplify: Simplify 0 into 0 1546936633.393 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936633.393 * [misc]backup-simplify: Simplify 0 into 0 1546936633.394 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936633.394 * [misc]backup-simplify: Simplify 0 into 0 1546936633.394 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936633.394 * [misc]backup-simplify: Simplify 0 into 0 1546936633.395 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))))) into 0 1546936633.395 * [misc]backup-simplify: Simplify 0 into 0 1546936633.395 * [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 1546936633.395 * [misc]backup-simplify: Simplify 0 into 0 1546936633.396 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) into (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936633.396 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) 1546936633.396 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in (N) around 0 1546936633.396 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1546936633.396 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1546936633.396 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1546936633.396 * [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)))) 1546936633.396 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936633.396 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 1546936633.396 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1546936633.396 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1546936633.396 * [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)))) 1546936633.396 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936633.397 * [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)))) 1546936633.397 * [misc]backup-simplify: Simplify 0 into 0 1546936633.397 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936633.397 * [misc]backup-simplify: Simplify 0 into 0 1546936633.398 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936633.398 * [misc]backup-simplify: Simplify 0 into 0 1546936633.398 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936633.398 * [misc]backup-simplify: Simplify 0 into 0 1546936633.399 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))))) into 0 1546936633.399 * [misc]backup-simplify: Simplify 0 into 0 1546936633.400 * [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 1546936633.400 * [misc]backup-simplify: Simplify 0 into 0 1546936633.400 * [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)))) 1546936633.400 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) 1546936633.400 * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in (N) around 0 1546936633.400 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1546936633.400 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1546936633.401 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1546936633.401 * [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)))) 1546936633.401 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936633.401 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 1546936633.401 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1546936633.401 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1546936633.402 * [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)))) 1546936633.402 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936633.402 * [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)))) 1546936633.402 * [misc]backup-simplify: Simplify 0 into 0 1546936633.403 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936633.403 * [misc]backup-simplify: Simplify 0 into 0 1546936633.404 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936633.404 * [misc]backup-simplify: Simplify 0 into 0 1546936633.404 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936633.404 * [misc]backup-simplify: Simplify 0 into 0 1546936633.405 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))))) into 0 1546936633.405 * [misc]backup-simplify: Simplify 0 into 0 1546936633.405 * [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 1546936633.405 * [misc]backup-simplify: Simplify 0 into 0 1546936633.406 * [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)))) 1546936633.406 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1546936633.406 * [misc]backup-simplify: Simplify (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936633.406 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 1546936633.406 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1546936633.406 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936633.406 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 1546936633.406 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936633.406 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936633.406 * [misc]backup-simplify: Simplify 0 into 0 1546936633.406 * [misc]backup-simplify: Simplify 0 into 0 1546936633.406 * [misc]backup-simplify: Simplify 0 into 0 1546936633.406 * [misc]backup-simplify: Simplify 0 into 0 1546936633.406 * [misc]backup-simplify: Simplify 0 into 0 1546936633.406 * [misc]backup-simplify: Simplify 0 into 0 1546936633.407 * [misc]backup-simplify: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936633.407 * [misc]backup-simplify: Simplify (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))))) (sqrt (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))) 1546936633.407 * [misc]approximate: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 1546936633.407 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1546936633.407 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1546936633.407 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 1546936633.407 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1546936633.407 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 1546936633.407 * [misc]backup-simplify: Simplify 0 into 0 1546936633.407 * [misc]backup-simplify: Simplify 0 into 0 1546936633.407 * [misc]backup-simplify: Simplify 0 into 0 1546936633.407 * [misc]backup-simplify: Simplify 0 into 0 1546936633.408 * [misc]backup-simplify: Simplify 0 into 0 1546936633.408 * [misc]backup-simplify: Simplify 0 into 0 1546936633.408 * [misc]backup-simplify: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936633.408 * [misc]backup-simplify: Simplify (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))))) (sqrt (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))) 1546936633.408 * [misc]approximate: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 1546936633.408 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1546936633.408 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1546936633.408 * [misc]taylor: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 1546936633.408 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1546936633.409 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 1546936633.409 * [misc]backup-simplify: Simplify 0 into 0 1546936633.409 * [misc]backup-simplify: Simplify 0 into 0 1546936633.409 * [misc]backup-simplify: Simplify 0 into 0 1546936633.409 * [misc]backup-simplify: Simplify 0 into 0 1546936633.409 * [misc]backup-simplify: Simplify 0 into 0 1546936633.409 * [misc]backup-simplify: Simplify 0 into 0 1546936633.409 * [misc]backup-simplify: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 1546936633.409 * * * [misc]progress: simplifying candidates 1546936633.409 * * * * [misc]progress: [ 1 / 73 ] simplifiying candidate # 1546936633.409 * * * * [misc]progress: [ 2 / 73 ] simplifiying candidate # 1546936633.409 * * * * [misc]progress: [ 3 / 73 ] simplifiying candidate # 1546936633.409 * * * * [misc]progress: [ 4 / 73 ] simplifiying candidate # 1546936633.409 * * * * [misc]progress: [ 5 / 73 ] simplifiying candidate # 1546936633.409 * * * * [misc]progress: [ 6 / 73 ] simplifiying candidate # 1546936633.409 * * * * [misc]progress: [ 7 / 73 ] simplifiying candidate # 1546936633.409 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936633.409 * * [misc]simplify: iters left: 6 (9 enodes) 1546936633.411 * * [misc]simplify: iters left: 5 (15 enodes) 1546936633.413 * * [misc]simplify: iters left: 4 (22 enodes) 1546936633.416 * * [misc]simplify: iters left: 3 (32 enodes) 1546936633.420 * * [misc]simplify: iters left: 2 (48 enodes) 1546936633.428 * * [misc]simplify: iters left: 1 (49 enodes) 1546936633.433 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1546936633.433 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1546936633.433 * * * * [misc]progress: [ 8 / 73 ] simplifiying candidate # 1546936633.433 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1546936633.433 * * [misc]simplify: iters left: 6 (8 enodes) 1546936633.434 * * [misc]simplify: iters left: 5 (13 enodes) 1546936633.436 * * [misc]simplify: iters left: 4 (20 enodes) 1546936633.439 * * [misc]simplify: iters left: 3 (30 enodes) 1546936633.442 * * [misc]simplify: iters left: 2 (45 enodes) 1546936633.452 * * [misc]simplify: iters left: 1 (46 enodes) 1546936633.458 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1546936633.458 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))))) 1546936633.458 * * * * [misc]progress: [ 9 / 73 ] simplifiying candidate # 1546936633.459 * [enter]simplify: Simplifying (sqrt 1) 1546936633.459 * * [misc]simplify: iters left: 1 (2 enodes) 1546936633.460 * [exit]simplify: Simplified to 1 1546936633.460 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) 1546936633.460 * * * * [misc]progress: [ 10 / 73 ] simplifiying candidate # 1546936633.460 * * * * [misc]progress: [ 11 / 73 ] simplifiying candidate # 1546936633.461 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1546936633.461 * * [misc]simplify: iters left: 6 (7 enodes) 1546936633.463 * * [misc]simplify: iters left: 5 (12 enodes) 1546936633.466 * * [misc]simplify: iters left: 4 (19 enodes) 1546936633.472 * * [misc]simplify: iters left: 3 (29 enodes) 1546936633.480 * * [misc]simplify: iters left: 2 (45 enodes) 1546936633.495 * * [misc]simplify: iters left: 1 (46 enodes) 1546936633.501 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1546936633.501 * [misc]simplify: Simplified (2 2 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (fabs (sqrt (atan2 1 (+ (+ N 1) (* N N))))))) 1546936633.501 * * * * [misc]progress: [ 12 / 73 ] simplifiying candidate # 1546936633.501 * * * * [misc]progress: [ 13 / 73 ] simplifiying candidate # 1546936633.501 * * * * [misc]progress: [ 14 / 73 ] simplifiying candidate # 1546936633.501 * * * * [misc]progress: [ 15 / 73 ] simplifiying candidate # 1546936633.501 * * * * [misc]progress: [ 16 / 73 ] simplifiying candidate # 1546936633.502 * * * * [misc]progress: [ 17 / 73 ] simplifiying candidate # 1546936633.502 * * * * [misc]progress: [ 18 / 73 ] simplifiying candidate # 1546936633.502 * * * * [misc]progress: [ 19 / 73 ] simplifiying candidate # 1546936633.502 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936633.502 * * [misc]simplify: iters left: 6 (9 enodes) 1546936633.505 * * [misc]simplify: iters left: 5 (15 enodes) 1546936633.509 * * [misc]simplify: iters left: 4 (22 enodes) 1546936633.515 * * [misc]simplify: iters left: 3 (32 enodes) 1546936633.519 * * [misc]simplify: iters left: 2 (48 enodes) 1546936633.527 * * [misc]simplify: iters left: 1 (49 enodes) 1546936633.530 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1546936633.531 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (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)))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936633.531 * * * * [misc]progress: [ 20 / 73 ] simplifiying candidate # 1546936633.531 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1546936633.531 * * [misc]simplify: iters left: 6 (8 enodes) 1546936633.532 * * [misc]simplify: iters left: 5 (13 enodes) 1546936633.534 * * [misc]simplify: iters left: 4 (20 enodes) 1546936633.538 * * [misc]simplify: iters left: 3 (30 enodes) 1546936633.541 * * [misc]simplify: iters left: 2 (45 enodes) 1546936633.555 * * [misc]simplify: iters left: 1 (46 enodes) 1546936633.561 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1546936633.562 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (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)))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936633.562 * * * * [misc]progress: [ 21 / 73 ] simplifiying candidate # 1546936633.562 * [enter]simplify: Simplifying (sqrt 1) 1546936633.562 * * [misc]simplify: iters left: 1 (2 enodes) 1546936633.563 * [exit]simplify: Simplified to 1 1546936633.563 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936633.563 * * * * [misc]progress: [ 22 / 73 ] simplifiying candidate # 1546936633.564 * * * * [misc]progress: [ 23 / 73 ] simplifiying candidate # 1546936633.564 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1546936633.564 * * [misc]simplify: iters left: 6 (7 enodes) 1546936633.566 * * [misc]simplify: iters left: 5 (12 enodes) 1546936633.569 * * [misc]simplify: iters left: 4 (19 enodes) 1546936633.575 * * [misc]simplify: iters left: 3 (29 enodes) 1546936633.583 * * [misc]simplify: iters left: 2 (45 enodes) 1546936633.598 * * [misc]simplify: iters left: 1 (46 enodes) 1546936633.604 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1546936633.604 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (fabs (sqrt (atan2 1 (+ (+ N 1) (* N N))))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936633.605 * * * * [misc]progress: [ 24 / 73 ] simplifiying candidate # 1546936633.605 * * * * [misc]progress: [ 25 / 73 ] simplifiying candidate # 1546936633.605 * * * * [misc]progress: [ 26 / 73 ] simplifiying candidate # 1546936633.605 * * * * [misc]progress: [ 27 / 73 ] simplifiying candidate # 1546936633.605 * * * * [misc]progress: [ 28 / 73 ] simplifiying candidate # 1546936633.605 * * * * [misc]progress: [ 29 / 73 ] simplifiying candidate # 1546936633.605 * * * * [misc]progress: [ 30 / 73 ] simplifiying candidate # 1546936633.605 * * * * [misc]progress: [ 31 / 73 ] simplifiying candidate # 1546936633.605 * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936633.606 * * [misc]simplify: iters left: 6 (9 enodes) 1546936633.609 * * [misc]simplify: iters left: 5 (15 enodes) 1546936633.612 * * [misc]simplify: iters left: 4 (22 enodes) 1546936633.619 * * [misc]simplify: iters left: 3 (32 enodes) 1546936633.627 * * [misc]simplify: iters left: 2 (48 enodes) 1546936633.643 * * [misc]simplify: iters left: 1 (49 enodes) 1546936633.650 * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1546936633.651 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936633.651 * * * * [misc]progress: [ 32 / 73 ] simplifiying candidate # 1546936633.651 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1546936633.651 * * [misc]simplify: iters left: 6 (8 enodes) 1546936633.654 * * [misc]simplify: iters left: 5 (13 enodes) 1546936633.657 * * [misc]simplify: iters left: 4 (20 enodes) 1546936633.663 * * [misc]simplify: iters left: 3 (30 enodes) 1546936633.670 * * [misc]simplify: iters left: 2 (45 enodes) 1546936633.687 * * [misc]simplify: iters left: 1 (46 enodes) 1546936633.694 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1546936633.694 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (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)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936633.694 * * * * [misc]progress: [ 33 / 73 ] simplifiying candidate # 1546936633.694 * [enter]simplify: Simplifying (sqrt 1) 1546936633.694 * * [misc]simplify: iters left: 1 (2 enodes) 1546936633.696 * [exit]simplify: Simplified to 1 1546936633.696 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (N) (* (* (sqrt (* 1 (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936633.696 * * * * [misc]progress: [ 34 / 73 ] simplifiying candidate # 1546936633.696 * * * * [misc]progress: [ 35 / 73 ] simplifiying candidate # 1546936633.696 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1546936633.696 * * [misc]simplify: iters left: 6 (7 enodes) 1546936633.698 * * [misc]simplify: iters left: 5 (12 enodes) 1546936633.701 * * [misc]simplify: iters left: 4 (19 enodes) 1546936633.707 * * [misc]simplify: iters left: 3 (29 enodes) 1546936633.714 * * [misc]simplify: iters left: 2 (45 enodes) 1546936633.729 * * [misc]simplify: iters left: 1 (46 enodes) 1546936633.736 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1546936633.736 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (N) (* (* (sqrt (fabs (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936633.736 * * * * [misc]progress: [ 36 / 73 ] simplifiying candidate # 1546936633.736 * * * * [misc]progress: [ 37 / 73 ] simplifiying candidate # 1546936633.736 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1546936633.737 * * [misc]simplify: iters left: 6 (7 enodes) 1546936633.739 * * [misc]simplify: iters left: 5 (12 enodes) 1546936633.741 * * [misc]simplify: iters left: 4 (19 enodes) 1546936633.743 * * [misc]simplify: iters left: 3 (29 enodes) 1546936633.747 * * [misc]simplify: iters left: 2 (45 enodes) 1546936633.754 * * [misc]simplify: iters left: 1 (46 enodes) 1546936633.757 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1546936633.757 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (+ (+ 1/2 1/2) 1))) 1546936633.757 * [enter]simplify: Simplifying (+ (+ 1/2 1/2) 1) 1546936633.758 * * [misc]simplify: iters left: 4 (4 enodes) 1546936633.759 * * [misc]simplify: iters left: 3 (11 enodes) 1546936633.760 * [exit]simplify: Simplified to 2 1546936633.760 * [misc]simplify: Simplified (2 2) to (λ (N) (pow (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 2)) 1546936633.760 * * * * [misc]progress: [ 38 / 73 ] simplifiying candidate # 1546936633.760 * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (atan2 1 (+ 1 (* (+ N 1) N)))) 1546936633.760 * * [misc]simplify: iters left: 6 (9 enodes) 1546936633.762 * * [misc]simplify: iters left: 5 (17 enodes) 1546936633.764 * * [misc]simplify: iters left: 4 (29 enodes) 1546936633.769 * * [misc]simplify: iters left: 3 (42 enodes) 1546936633.774 * * [misc]simplify: iters left: 2 (57 enodes) 1546936633.783 * * [misc]simplify: iters left: 1 (58 enodes) 1546936633.788 * [exit]simplify: Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (atan2 1 (+ (* N N) (+ N 1)))) 1546936633.788 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (* (atan2 1 (+ (* N N) (+ N 1))) (atan2 1 (+ (* N N) (+ N 1)))) 1/2)) 1546936633.788 * * * * [misc]progress: [ 39 / 73 ] simplifiying candidate # 1546936633.788 * [enter]simplify: Simplifying (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1546936633.789 * * [misc]simplify: iters left: 6 (10 enodes) 1546936633.790 * * [misc]simplify: iters left: 5 (18 enodes) 1546936633.793 * * [misc]simplify: iters left: 4 (30 enodes) 1546936633.797 * * [misc]simplify: iters left: 3 (44 enodes) 1546936633.802 * * [misc]simplify: iters left: 2 (59 enodes) 1546936633.810 * * [misc]simplify: iters left: 1 (61 enodes) 1546936633.815 * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (* N N))) 1546936633.815 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N 1) (* N N))) 1)) 1546936633.815 * * * * [misc]progress: [ 40 / 73 ] simplifiying candidate # 1546936633.815 * [enter]simplify: Simplifying (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1546936633.815 * * [misc]simplify: iters left: 6 (10 enodes) 1546936633.817 * * [misc]simplify: iters left: 5 (18 enodes) 1546936633.819 * * [misc]simplify: iters left: 4 (30 enodes) 1546936633.823 * * [misc]simplify: iters left: 3 (44 enodes) 1546936633.828 * * [misc]simplify: iters left: 2 (59 enodes) 1546936633.837 * * [misc]simplify: iters left: 1 (61 enodes) 1546936633.841 * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (* N N))) 1546936633.841 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (atan2 1 (+ (+ N 1) (* N N))) 1)) 1546936633.841 * * * * [misc]progress: [ 41 / 73 ] simplifiying candidate # 1546936633.842 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1546936633.842 * * [misc]simplify: iters left: 6 (7 enodes) 1546936633.843 * * [misc]simplify: iters left: 5 (12 enodes) 1546936633.844 * * [misc]simplify: iters left: 4 (19 enodes) 1546936633.847 * * [misc]simplify: iters left: 3 (29 enodes) 1546936633.855 * * [misc]simplify: iters left: 2 (45 enodes) 1546936633.870 * * [misc]simplify: iters left: 1 (46 enodes) 1546936633.877 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1546936633.877 * [misc]simplify: Simplified (2 1) to (λ (N) (pow (sqrt (atan2 1 (+ (+ N 1) (* N N)))) (+ (+ 1/2 1/2) 1))) 1546936633.877 * * * * [misc]progress: [ 42 / 73 ] simplifiying candidate # 1546936633.877 * * * * [misc]progress: [ 43 / 73 ] simplifiying candidate # 1546936633.877 * [enter]simplify: Simplifying (+ (+ (log (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (log (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936633.878 * * [misc]simplify: iters left: 6 (12 enodes) 1546936633.881 * * [misc]simplify: iters left: 5 (20 enodes) 1546936633.887 * * [misc]simplify: iters left: 4 (29 enodes) 1546936633.895 * * [misc]simplify: iters left: 3 (40 enodes) 1546936633.905 * * [misc]simplify: iters left: 2 (56 enodes) 1546936633.917 * * [misc]simplify: iters left: 1 (57 enodes) 1546936633.921 * [exit]simplify: Simplified to (+ (log (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) (+ (log (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (log (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))))) 1546936633.921 * [misc]simplify: Simplified (2 1) to (λ (N) (exp (+ (log (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) (+ (log (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (log (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))))))) 1546936633.921 * * * * [misc]progress: [ 44 / 73 ] simplifiying candidate # 1546936633.922 * [enter]simplify: Simplifying (+ (log (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))))) (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936633.922 * * [misc]simplify: iters left: 6 (12 enodes) 1546936633.923 * * [misc]simplify: iters left: 5 (20 enodes) 1546936633.926 * * [misc]simplify: iters left: 4 (34 enodes) 1546936633.931 * * [misc]simplify: iters left: 3 (44 enodes) 1546936633.935 * * [misc]simplify: iters left: 2 (59 enodes) 1546936633.952 * * [misc]simplify: iters left: 1 (60 enodes) 1546936633.961 * [exit]simplify: Simplified to (+ (log (sqrt (atan2 1 (+ (* N N) (+ N 1))))) (log (sqrt (atan2 1 (+ (* N N) (+ N 1)))))) 1546936633.961 * [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)))))))) 1546936633.961 * * * * [misc]progress: [ 45 / 73 ] simplifiying candidate # 1546936633.961 * * * * [misc]progress: [ 46 / 73 ] simplifiying candidate # 1546936633.961 * * * * [misc]progress: [ 47 / 73 ] simplifiying candidate # 1546936633.961 * [enter]simplify: Simplifying (* (* (* (* (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))))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936633.962 * * [misc]simplify: iters left: 6 (14 enodes) 1546936633.967 * * [misc]simplify: iters left: 5 (33 enodes) 1546936633.979 * * [misc]simplify: iters left: 4 (77 enodes) 1546936634.003 * * [misc]simplify: iters left: 3 (138 enodes) 1546936634.028 * * [misc]simplify: iters left: 2 (172 enodes) 1546936634.060 * * [misc]simplify: iters left: 1 (176 enodes) 1546936634.079 * [exit]simplify: Simplified to (pow (atan2 1 (+ (* N N) (+ N 1))) 3) 1546936634.079 * [misc]simplify: Simplified (2 1) to (λ (N) (cbrt (pow (atan2 1 (+ (* N N) (+ N 1))) 3))) 1546936634.079 * * * * [misc]progress: [ 48 / 73 ] simplifiying candidate # 1546936634.080 * [enter]simplify: Simplifying (* (* (* (* (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))))))) (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936634.080 * * [misc]simplify: iters left: 6 (14 enodes) 1546936634.082 * * [misc]simplify: iters left: 5 (33 enodes) 1546936634.088 * * [misc]simplify: iters left: 4 (72 enodes) 1546936634.101 * * [misc]simplify: iters left: 3 (131 enodes) 1546936634.136 * * [misc]simplify: iters left: 2 (167 enodes) 1546936634.160 * * [misc]simplify: iters left: 1 (173 enodes) 1546936634.173 * [exit]simplify: Simplified to (pow (atan2 1 (+ (* N N) (+ N 1))) 3) 1546936634.174 * [misc]simplify: Simplified (2 1) to (λ (N) (cbrt (pow (atan2 1 (+ (* N N) (+ N 1))) 3))) 1546936634.174 * * * * [misc]progress: [ 49 / 73 ] simplifiying candidate # 1546936634.174 * * * * [misc]progress: [ 50 / 73 ] simplifiying candidate # 1546936634.174 * * * * [misc]progress: [ 51 / 73 ] simplifiying candidate # 1546936634.174 * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (atan2 1 (+ 1 (* (+ N 1) N)))) 1546936634.174 * * [misc]simplify: iters left: 6 (9 enodes) 1546936634.175 * * [misc]simplify: iters left: 5 (17 enodes) 1546936634.178 * * [misc]simplify: iters left: 4 (29 enodes) 1546936634.182 * * [misc]simplify: iters left: 3 (42 enodes) 1546936634.187 * * [misc]simplify: iters left: 2 (57 enodes) 1546936634.195 * * [misc]simplify: iters left: 1 (58 enodes) 1546936634.199 * [exit]simplify: Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (atan2 1 (+ (* N N) (+ N 1)))) 1546936634.199 * [misc]simplify: Simplified (2 1) to (λ (N) (sqrt (* (atan2 1 (+ (* N N) (+ N 1))) (atan2 1 (+ (* N N) (+ N 1)))))) 1546936634.200 * * * * [misc]progress: [ 52 / 73 ] simplifiying candidate # 1546936634.200 * * * * [misc]progress: [ 53 / 73 ] simplifiying candidate # 1546936634.200 * * * * [misc]progress: [ 54 / 73 ] simplifiying candidate # 1546936634.200 * [enter]simplify: Simplifying (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1546936634.200 * * [misc]simplify: iters left: 6 (8 enodes) 1546936634.201 * * [misc]simplify: iters left: 5 (13 enodes) 1546936634.203 * * [misc]simplify: iters left: 4 (20 enodes) 1546936634.207 * * [misc]simplify: iters left: 3 (30 enodes) 1546936634.210 * * [misc]simplify: iters left: 2 (45 enodes) 1546936634.221 * * [misc]simplify: iters left: 1 (46 enodes) 1546936634.225 * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1546936634.225 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (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))))))) 1546936634.225 * * * * [misc]progress: [ 55 / 73 ] simplifiying candidate # 1546936634.225 * [enter]simplify: Simplifying (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1546936634.225 * * [misc]simplify: iters left: 6 (8 enodes) 1546936634.226 * * [misc]simplify: iters left: 5 (13 enodes) 1546936634.228 * * [misc]simplify: iters left: 4 (20 enodes) 1546936634.231 * * [misc]simplify: iters left: 3 (30 enodes) 1546936634.235 * * [misc]simplify: iters left: 2 (45 enodes) 1546936634.242 * * [misc]simplify: iters left: 1 (46 enodes) 1546936634.245 * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1))))) 1546936634.245 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (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))))))) 1546936634.245 * * * * [misc]progress: [ 56 / 73 ] simplifiying candidate # 1546936634.245 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1546936634.245 * * [misc]simplify: iters left: 6 (8 enodes) 1546936634.247 * * [misc]simplify: iters left: 5 (13 enodes) 1546936634.248 * * [misc]simplify: iters left: 4 (20 enodes) 1546936634.252 * * [misc]simplify: iters left: 3 (30 enodes) 1546936634.259 * * [misc]simplify: iters left: 2 (45 enodes) 1546936634.274 * * [misc]simplify: iters left: 1 (46 enodes) 1546936634.280 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1546936634.280 * [misc]simplify: Simplified (2 2) to (λ (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 (+ (* N N) (+ N 1))))))) 1546936634.280 * * * * [misc]progress: [ 57 / 73 ] simplifiying candidate # 1546936634.281 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1546936634.281 * * [misc]simplify: iters left: 6 (7 enodes) 1546936634.283 * * [misc]simplify: iters left: 5 (12 enodes) 1546936634.285 * * [misc]simplify: iters left: 4 (19 enodes) 1546936634.288 * * [misc]simplify: iters left: 3 (29 enodes) 1546936634.291 * * [misc]simplify: iters left: 2 (45 enodes) 1546936634.300 * * [misc]simplify: iters left: 1 (46 enodes) 1546936634.303 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1546936634.303 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt 1)) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1546936634.303 * * * * [misc]progress: [ 58 / 73 ] simplifiying candidate # 1546936634.303 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1546936634.303 * * [misc]simplify: iters left: 6 (8 enodes) 1546936634.305 * * [misc]simplify: iters left: 5 (13 enodes) 1546936634.306 * * [misc]simplify: iters left: 4 (20 enodes) 1546936634.310 * * [misc]simplify: iters left: 3 (30 enodes) 1546936634.313 * * [misc]simplify: iters left: 2 (45 enodes) 1546936634.320 * * [misc]simplify: iters left: 1 (46 enodes) 1546936634.324 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1546936634.324 * [misc]simplify: Simplified (2 2) to (λ (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 (+ (* N N) (+ N 1))))))) 1546936634.324 * * * * [misc]progress: [ 59 / 73 ] simplifiying candidate # 1546936634.324 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) 1546936634.324 * * [misc]simplify: iters left: 6 (7 enodes) 1546936634.325 * * [misc]simplify: iters left: 5 (12 enodes) 1546936634.327 * * [misc]simplify: iters left: 4 (19 enodes) 1546936634.330 * * [misc]simplify: iters left: 3 (29 enodes) 1546936634.335 * * [misc]simplify: iters left: 2 (45 enodes) 1546936634.349 * * [misc]simplify: iters left: 1 (46 enodes) 1546936634.356 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1546936634.356 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1546936634.356 * * * * [misc]progress: [ 60 / 73 ] simplifiying candidate # 1546936634.357 * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) 1546936634.357 * * [misc]simplify: iters left: 6 (8 enodes) 1546936634.359 * * [misc]simplify: iters left: 5 (13 enodes) 1546936634.361 * * [misc]simplify: iters left: 4 (20 enodes) 1546936634.364 * * [misc]simplify: iters left: 3 (30 enodes) 1546936634.367 * * [misc]simplify: iters left: 2 (45 enodes) 1546936634.375 * * [misc]simplify: iters left: 1 (46 enodes) 1546936634.379 * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) 1546936634.379 * [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))))))) 1546936634.379 * * * * [misc]progress: [ 61 / 73 ] simplifiying candidate # 1546936634.379 * * * * [misc]progress: [ 62 / 73 ] simplifiying candidate # 1546936634.380 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936634.380 * * [misc]simplify: iters left: 6 (8 enodes) 1546936634.381 * * [misc]simplify: iters left: 5 (15 enodes) 1546936634.383 * * [misc]simplify: iters left: 4 (22 enodes) 1546936634.386 * * [misc]simplify: iters left: 3 (24 enodes) 1546936634.391 * * [misc]simplify: iters left: 2 (30 enodes) 1546936634.399 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1546936634.399 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1546936634.399 * * * * [misc]progress: [ 63 / 73 ] simplifiying candidate # 1546936634.399 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936634.399 * * [misc]simplify: iters left: 6 (8 enodes) 1546936634.402 * * [misc]simplify: iters left: 5 (15 enodes) 1546936634.405 * * [misc]simplify: iters left: 4 (22 enodes) 1546936634.411 * * [misc]simplify: iters left: 3 (24 enodes) 1546936634.417 * * [misc]simplify: iters left: 2 (30 enodes) 1546936634.424 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1546936634.424 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1546936634.424 * * * * [misc]progress: [ 64 / 73 ] simplifiying candidate # 1546936634.425 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936634.425 * * [misc]simplify: iters left: 6 (8 enodes) 1546936634.427 * * [misc]simplify: iters left: 5 (15 enodes) 1546936634.429 * * [misc]simplify: iters left: 4 (22 enodes) 1546936634.432 * * [misc]simplify: iters left: 3 (24 enodes) 1546936634.435 * * [misc]simplify: iters left: 2 (30 enodes) 1546936634.439 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1546936634.439 * [misc]simplify: Simplified (2 2) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) 1546936634.439 * * * * [misc]progress: [ 65 / 73 ] simplifiying candidate # 1546936634.439 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936634.439 * * [misc]simplify: iters left: 6 (8 enodes) 1546936634.440 * * [misc]simplify: iters left: 5 (15 enodes) 1546936634.442 * * [misc]simplify: iters left: 4 (22 enodes) 1546936634.445 * * [misc]simplify: iters left: 3 (24 enodes) 1546936634.448 * * [misc]simplify: iters left: 2 (30 enodes) 1546936634.454 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1546936634.454 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936634.454 * * * * [misc]progress: [ 66 / 73 ] simplifiying candidate # 1546936634.454 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936634.454 * * [misc]simplify: iters left: 6 (8 enodes) 1546936634.455 * * [misc]simplify: iters left: 5 (15 enodes) 1546936634.457 * * [misc]simplify: iters left: 4 (22 enodes) 1546936634.460 * * [misc]simplify: iters left: 3 (24 enodes) 1546936634.463 * * [misc]simplify: iters left: 2 (30 enodes) 1546936634.467 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1546936634.467 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936634.467 * * * * [misc]progress: [ 67 / 73 ] simplifiying candidate # 1546936634.467 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936634.467 * * [misc]simplify: iters left: 6 (8 enodes) 1546936634.468 * * [misc]simplify: iters left: 5 (15 enodes) 1546936634.470 * * [misc]simplify: iters left: 4 (22 enodes) 1546936634.473 * * [misc]simplify: iters left: 3 (24 enodes) 1546936634.478 * * [misc]simplify: iters left: 2 (30 enodes) 1546936634.486 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1546936634.486 * [misc]simplify: Simplified (2 1 2 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936634.486 * * * * [misc]progress: [ 68 / 73 ] simplifiying candidate # 1546936634.486 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936634.486 * * [misc]simplify: iters left: 6 (8 enodes) 1546936634.489 * * [misc]simplify: iters left: 5 (15 enodes) 1546936634.493 * * [misc]simplify: iters left: 4 (22 enodes) 1546936634.498 * * [misc]simplify: iters left: 3 (24 enodes) 1546936634.504 * * [misc]simplify: iters left: 2 (30 enodes) 1546936634.512 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1546936634.512 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936634.512 * * * * [misc]progress: [ 69 / 73 ] simplifiying candidate # 1546936634.512 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936634.513 * * [misc]simplify: iters left: 6 (8 enodes) 1546936634.515 * * [misc]simplify: iters left: 5 (15 enodes) 1546936634.519 * * [misc]simplify: iters left: 4 (22 enodes) 1546936634.525 * * [misc]simplify: iters left: 3 (24 enodes) 1546936634.531 * * [misc]simplify: iters left: 2 (30 enodes) 1546936634.535 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1546936634.535 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936634.535 * * * * [misc]progress: [ 70 / 73 ] simplifiying candidate # 1546936634.535 * [enter]simplify: Simplifying (sqrt (atan2 1 (+ N (+ (pow N 2) 1)))) 1546936634.535 * * [misc]simplify: iters left: 6 (8 enodes) 1546936634.536 * * [misc]simplify: iters left: 5 (15 enodes) 1546936634.538 * * [misc]simplify: iters left: 4 (22 enodes) 1546936634.541 * * [misc]simplify: iters left: 3 (24 enodes) 1546936634.544 * * [misc]simplify: iters left: 2 (30 enodes) 1546936634.548 * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) 1546936634.548 * [misc]simplify: Simplified (2 1 1 1) to (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) 1546936634.548 * * * * [misc]progress: [ 71 / 73 ] simplifiying candidate # 1546936634.548 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1546936634.548 * * [misc]simplify: iters left: 6 (7 enodes) 1546936634.549 * * [misc]simplify: iters left: 5 (14 enodes) 1546936634.551 * * [misc]simplify: iters left: 4 (21 enodes) 1546936634.556 * * [misc]simplify: iters left: 3 (23 enodes) 1546936634.562 * * [misc]simplify: iters left: 2 (29 enodes) 1546936634.569 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1546936634.569 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1546936634.569 * * * * [misc]progress: [ 72 / 73 ] simplifiying candidate # 1546936634.570 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1546936634.570 * * [misc]simplify: iters left: 6 (7 enodes) 1546936634.572 * * [misc]simplify: iters left: 5 (14 enodes) 1546936634.575 * * [misc]simplify: iters left: 4 (21 enodes) 1546936634.580 * * [misc]simplify: iters left: 3 (23 enodes) 1546936634.585 * * [misc]simplify: iters left: 2 (29 enodes) 1546936634.594 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1546936634.594 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1546936634.594 * * * * [misc]progress: [ 73 / 73 ] simplifiying candidate # 1546936634.594 * [enter]simplify: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1546936634.594 * * [misc]simplify: iters left: 6 (7 enodes) 1546936634.597 * * [misc]simplify: iters left: 5 (14 enodes) 1546936634.601 * * [misc]simplify: iters left: 4 (21 enodes) 1546936634.606 * * [misc]simplify: iters left: 3 (23 enodes) 1546936634.612 * * [misc]simplify: iters left: 2 (29 enodes) 1546936634.620 * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) 1546936634.620 * [misc]simplify: Simplified (2) to (λ (N) (atan2 1 (+ (* N N) (+ N 1)))) 1546936634.620 * * * [misc]progress: adding candidates to table 1546936635.241 * [misc]progress: [Phase 3 of 3] Extracting. 1546936635.242 * * [misc]regime: Finding splitpoints for: (# # # # # # # #) 1546936635.244 * * * [misc]regime-changes: Trying 2 branch expressions: (N (- (atan (+ N 1)) (atan N))) 1546936635.244 * * * * [misc]regimes: Trying to branch on N from (# # # # # # # #) 1546936635.285 * * * * [misc]regimes: Trying to branch on (- (atan (+ N 1)) (atan N)) from (# # # # # # # #) 1546936635.335 * * * [misc]regime: Found split indices: #