0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.037 * * * [progress]: [2/2] Setting up program. 0.040 * [progress]: [Phase 2 of 3] Improving. 0.040 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.040 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N)) 0.040 * * [simplify]: iters left: 5 (6 enodes) 0.042 * * [simplify]: iters left: 4 (23 enodes) 0.046 * * [simplify]: iters left: 3 (28 enodes) 0.050 * * [simplify]: Extracting #0: cost 1 inf + 0 0.050 * * [simplify]: Extracting #1: cost 5 inf + 0 0.050 * * [simplify]: Extracting #2: cost 10 inf + 0 0.050 * * [simplify]: Extracting #3: cost 11 inf + 1 0.051 * * [simplify]: Extracting #4: cost 6 inf + 298 0.051 * * [simplify]: Extracting #5: cost 1 inf + 1176 0.051 * * [simplify]: Extracting #6: cost 0 inf + 1468 0.051 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 0.051 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 0.054 * * [progress]: iteration 1 / 4 0.054 * * * [progress]: picking best candidate 0.056 * * * * [pick]: Picked # 0.056 * * * [progress]: localizing error 0.066 * * * [progress]: generating rewritten candidates 0.066 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.071 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.072 * * * [progress]: generating series expansions 0.072 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.072 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.073 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.073 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.073 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.074 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.074 * [taylor]: Taking taylor expansion of (atan N) in N 0.074 * [backup-simplify]: Simplify (atan N) into (atan N) 0.074 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.074 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.074 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.074 * [taylor]: Taking taylor expansion of (atan N) in N 0.074 * [backup-simplify]: Simplify (atan N) into (atan N) 0.074 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.074 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N)) 0.074 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.085 * [backup-simplify]: Simplify (- 0) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (- 0) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (- 0) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (- 0) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N)) 0.089 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.089 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.089 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.089 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.090 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.090 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.090 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.090 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.090 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.090 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.090 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.090 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.090 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.090 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.091 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) 0.092 * [backup-simplify]: Simplify (- 0) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (- 0) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (- 0) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (- 0) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (- 0) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (- 0) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N)) 0.097 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.097 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.097 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.097 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.097 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.097 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.097 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.097 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.098 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.098 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.098 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.098 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.098 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.098 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.098 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) 0.099 * [backup-simplify]: Simplify (- 0) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (- 0) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (- 0) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (- 0) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (- 0) into 0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (- 0) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N)) 0.103 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.103 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.103 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 0.103 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.103 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.103 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.103 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.104 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1)) 0.104 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.104 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 0.104 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.104 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.104 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.104 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.104 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1)) 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1)) 0.105 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) 0.105 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0 0.105 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.105 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.105 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.105 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.105 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1)) 0.106 * * * [progress]: simplifying candidates 0.106 * * * * [progress]: [ 1 / 30 ] simplifiying candidate # 0.106 * [simplify]: Simplifying (- (+ N 1) N) 0.106 * * [simplify]: iters left: 4 (4 enodes) 0.108 * * [simplify]: iters left: 3 (19 enodes) 0.115 * * [simplify]: iters left: 2 (33 enodes) 0.126 * * [simplify]: iters left: 1 (39 enodes) 0.134 * * [simplify]: Extracting #0: cost 1 inf + 0 0.134 * * [simplify]: Extracting #1: cost 0 inf + 1 0.134 * [simplify]: Simplified to 1 0.135 * [simplify]: Simplified (2 1) to (λ (N) (atan2 1 (+ 1 (* (+ N 1) N)))) 0.135 * [simplify]: Simplifying (+ 1 (* (+ N 1) N)) 0.135 * * [simplify]: iters left: 6 (5 enodes) 0.137 * * [simplify]: iters left: 5 (20 enodes) 0.140 * * [simplify]: iters left: 4 (29 enodes) 0.145 * * [simplify]: iters left: 3 (31 enodes) 0.149 * * [simplify]: Extracting #0: cost 1 inf + 0 0.149 * * [simplify]: Extracting #1: cost 4 inf + 0 0.149 * * [simplify]: Extracting #2: cost 7 inf + 1 0.149 * * [simplify]: Extracting #3: cost 2 inf + 493 0.149 * * [simplify]: Extracting #4: cost 0 inf + 574 0.150 * [simplify]: Simplified to (+ (* (+ N 1) N) 1) 0.150 * [simplify]: Simplified (2 2) to (λ (N) (atan2 1 (+ (* (+ N 1) N) 1))) 0.150 * * * * [progress]: [ 2 / 30 ] simplifiying candidate # 0.150 * [simplify]: Simplifying (/ (exp (atan (+ N 1))) (exp (atan N))) 0.150 * * [simplify]: iters left: 6 (8 enodes) 0.152 * * [simplify]: iters left: 5 (29 enodes) 0.156 * * [simplify]: iters left: 4 (35 enodes) 0.165 * * [simplify]: iters left: 3 (40 enodes) 0.175 * * [simplify]: iters left: 2 (44 enodes) 0.187 * * [simplify]: iters left: 1 (48 enodes) 0.199 * * [simplify]: Extracting #0: cost 1 inf + 0 0.199 * * [simplify]: Extracting #1: cost 9 inf + 0 0.199 * * [simplify]: Extracting #2: cost 15 inf + 1 0.199 * * [simplify]: Extracting #3: cost 20 inf + 1 0.199 * * [simplify]: Extracting #4: cost 20 inf + 2 0.199 * * [simplify]: Extracting #5: cost 16 inf + 339 0.200 * * [simplify]: Extracting #6: cost 0 inf + 4059 0.201 * [simplify]: Simplified to (exp (- (atan (+ 1 N)) (atan N))) 0.201 * [simplify]: Simplified (2 1) to (λ (N) (log (exp (- (atan (+ 1 N)) (atan N))))) 0.201 * * * * [progress]: [ 3 / 30 ] simplifiying candidate # 0.201 * * * * [progress]: [ 4 / 30 ] simplifiying candidate # 0.201 * * * * [progress]: [ 5 / 30 ] simplifiying candidate # 0.201 * * * * [progress]: [ 6 / 30 ] simplifiying candidate # 0.201 * * * * [progress]: [ 7 / 30 ] simplifiying candidate # 0.201 * * * * [progress]: [ 8 / 30 ] simplifiying candidate # 0.201 * * * * [progress]: [ 9 / 30 ] simplifiying candidate # 0.201 * * * * [progress]: [ 10 / 30 ] simplifiying candidate # 0.201 * * * * [progress]: [ 11 / 30 ] simplifiying candidate # 0.201 * * * * [progress]: [ 12 / 30 ] simplifiying candidate # 0.201 * * * * [progress]: [ 13 / 30 ] simplifiying candidate # 0.202 * [simplify]: Simplifying (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) 0.202 * * [simplify]: iters left: 6 (8 enodes) 0.205 * * [simplify]: iters left: 5 (28 enodes) 0.215 * * [simplify]: iters left: 4 (30 enodes) 0.223 * * [simplify]: Extracting #0: cost 1 inf + 0 0.223 * * [simplify]: Extracting #1: cost 4 inf + 0 0.223 * * [simplify]: Extracting #2: cost 8 inf + 0 0.223 * * [simplify]: Extracting #3: cost 12 inf + 0 0.223 * * [simplify]: Extracting #4: cost 10 inf + 359 0.223 * * [simplify]: Extracting #5: cost 8 inf + 506 0.223 * * [simplify]: Extracting #6: cost 5 inf + 737 0.224 * * [simplify]: Extracting #7: cost 1 inf + 1630 0.224 * * [simplify]: Extracting #8: cost 0 inf + 2002 0.224 * [simplify]: Simplified to (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) 0.224 * [simplify]: Simplified (2 1) to (λ (N) (* (+ (sqrt (atan N)) (sqrt (atan (+ 1 N)))) (- (sqrt (atan (+ N 1))) (sqrt (atan N))))) 0.225 * [simplify]: Simplifying (- (sqrt (atan (+ N 1))) (sqrt (atan N))) 0.225 * * [simplify]: iters left: 6 (8 enodes) 0.228 * * [simplify]: iters left: 5 (29 enodes) 0.236 * * [simplify]: iters left: 4 (34 enodes) 0.244 * * [simplify]: Extracting #0: cost 1 inf + 0 0.244 * * [simplify]: Extracting #1: cost 5 inf + 0 0.245 * * [simplify]: Extracting #2: cost 10 inf + 0 0.245 * * [simplify]: Extracting #3: cost 14 inf + 0 0.245 * * [simplify]: Extracting #4: cost 15 inf + 1 0.245 * * [simplify]: Extracting #5: cost 13 inf + 108 0.245 * * [simplify]: Extracting #6: cost 5 inf + 1109 0.245 * * [simplify]: Extracting #7: cost 0 inf + 2374 0.246 * [simplify]: Simplified to (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) 0.246 * [simplify]: Simplified (2 2) to (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ 1 N))) (sqrt (atan N))))) 0.246 * * * * [progress]: [ 14 / 30 ] simplifiying candidate # 0.246 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N)) 0.246 * * [simplify]: iters left: 5 (6 enodes) 0.249 * * [simplify]: iters left: 4 (23 enodes) 0.252 * * [simplify]: iters left: 3 (28 enodes) 0.256 * * [simplify]: Extracting #0: cost 1 inf + 0 0.256 * * [simplify]: Extracting #1: cost 5 inf + 0 0.256 * * [simplify]: Extracting #2: cost 10 inf + 0 0.257 * * [simplify]: Extracting #3: cost 11 inf + 1 0.257 * * [simplify]: Extracting #4: cost 6 inf + 298 0.257 * * [simplify]: Extracting #5: cost 1 inf + 1176 0.257 * * [simplify]: Extracting #6: cost 0 inf + 1468 0.257 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 0.257 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (- (atan (+ 1 N)) (atan N)))) 0.257 * * * * [progress]: [ 15 / 30 ] simplifiying candidate # 0.257 * * * * [progress]: [ 16 / 30 ] simplifiying candidate #real (real->posit16 (- (atan (+ N 1)) (atan N)))))> 0.257 * * * * [progress]: [ 17 / 30 ] simplifiying candidate # 0.257 * * * * [progress]: [ 18 / 30 ] simplifiying candidate # 0.257 * * * * [progress]: [ 19 / 30 ] simplifiying candidate # 0.257 * * * * [progress]: [ 20 / 30 ] simplifiying candidate # 0.257 * * * * [progress]: [ 21 / 30 ] simplifiying candidate # 0.258 * * * * [progress]: [ 22 / 30 ] simplifiying candidate # 0.258 * * * * [progress]: [ 23 / 30 ] simplifiying candidate # 0.258 * * * * [progress]: [ 24 / 30 ] simplifiying candidate #real (real->posit16 (atan (+ N 1)))) (atan N)))> 0.258 * * * * [progress]: [ 25 / 30 ] simplifiying candidate # 0.258 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N)) 0.258 * * [simplify]: iters left: 5 (6 enodes) 0.259 * * [simplify]: iters left: 4 (23 enodes) 0.263 * * [simplify]: iters left: 3 (28 enodes) 0.267 * * [simplify]: Extracting #0: cost 1 inf + 0 0.267 * * [simplify]: Extracting #1: cost 5 inf + 0 0.267 * * [simplify]: Extracting #2: cost 10 inf + 0 0.267 * * [simplify]: Extracting #3: cost 11 inf + 1 0.267 * * [simplify]: Extracting #4: cost 6 inf + 298 0.267 * * [simplify]: Extracting #5: cost 1 inf + 1176 0.268 * * [simplify]: Extracting #6: cost 0 inf + 1468 0.268 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 0.268 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 0.268 * * * * [progress]: [ 26 / 30 ] simplifiying candidate # 0.268 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N)) 0.268 * * [simplify]: iters left: 5 (6 enodes) 0.270 * * [simplify]: iters left: 4 (23 enodes) 0.273 * * [simplify]: iters left: 3 (28 enodes) 0.277 * * [simplify]: Extracting #0: cost 1 inf + 0 0.277 * * [simplify]: Extracting #1: cost 5 inf + 0 0.277 * * [simplify]: Extracting #2: cost 10 inf + 0 0.277 * * [simplify]: Extracting #3: cost 11 inf + 1 0.277 * * [simplify]: Extracting #4: cost 6 inf + 298 0.278 * * [simplify]: Extracting #5: cost 1 inf + 1176 0.278 * * [simplify]: Extracting #6: cost 0 inf + 1468 0.278 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 0.278 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 0.278 * * * * [progress]: [ 27 / 30 ] simplifiying candidate # 0.278 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N)) 0.278 * * [simplify]: iters left: 5 (6 enodes) 0.280 * * [simplify]: iters left: 4 (23 enodes) 0.287 * * [simplify]: iters left: 3 (28 enodes) 0.295 * * [simplify]: Extracting #0: cost 1 inf + 0 0.295 * * [simplify]: Extracting #1: cost 5 inf + 0 0.295 * * [simplify]: Extracting #2: cost 10 inf + 0 0.295 * * [simplify]: Extracting #3: cost 11 inf + 1 0.295 * * [simplify]: Extracting #4: cost 6 inf + 298 0.296 * * [simplify]: Extracting #5: cost 1 inf + 1176 0.296 * * [simplify]: Extracting #6: cost 0 inf + 1468 0.296 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)) 0.296 * [simplify]: Simplified (2) to (λ (N) (- (atan (+ 1 N)) (atan N))) 0.296 * * * * [progress]: [ 28 / 30 ] simplifiying candidate # 0.297 * [simplify]: Simplifying (atan (+ N 1)) 0.297 * * [simplify]: iters left: 3 (4 enodes) 0.299 * * [simplify]: iters left: 2 (15 enodes) 0.304 * * [simplify]: iters left: 1 (17 enodes) 0.308 * * [simplify]: Extracting #0: cost 1 inf + 0 0.308 * * [simplify]: Extracting #1: cost 3 inf + 0 0.309 * * [simplify]: Extracting #2: cost 6 inf + 0 0.309 * * [simplify]: Extracting #3: cost 2 inf + 86 0.309 * * [simplify]: Extracting #4: cost 1 inf + 233 0.309 * * [simplify]: Extracting #5: cost 0 inf + 380 0.309 * [simplify]: Simplified to (atan (+ 1 N)) 0.309 * [simplify]: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) 0.309 * * * * [progress]: [ 29 / 30 ] simplifiying candidate # 0.309 * [simplify]: Simplifying (atan (+ N 1)) 0.310 * * [simplify]: iters left: 3 (4 enodes) 0.312 * * [simplify]: iters left: 2 (15 enodes) 0.317 * * [simplify]: iters left: 1 (17 enodes) 0.322 * * [simplify]: Extracting #0: cost 1 inf + 0 0.322 * * [simplify]: Extracting #1: cost 3 inf + 0 0.322 * * [simplify]: Extracting #2: cost 6 inf + 0 0.322 * * [simplify]: Extracting #3: cost 2 inf + 86 0.322 * * [simplify]: Extracting #4: cost 1 inf + 233 0.323 * * [simplify]: Extracting #5: cost 0 inf + 380 0.323 * [simplify]: Simplified to (atan (+ 1 N)) 0.323 * [simplify]: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) 0.323 * * * * [progress]: [ 30 / 30 ] simplifiying candidate # 0.323 * [simplify]: Simplifying (atan (+ N 1)) 0.323 * * [simplify]: iters left: 3 (4 enodes) 0.326 * * [simplify]: iters left: 2 (15 enodes) 0.329 * * [simplify]: iters left: 1 (17 enodes) 0.332 * * [simplify]: Extracting #0: cost 1 inf + 0 0.332 * * [simplify]: Extracting #1: cost 3 inf + 0 0.332 * * [simplify]: Extracting #2: cost 6 inf + 0 0.332 * * [simplify]: Extracting #3: cost 2 inf + 86 0.332 * * [simplify]: Extracting #4: cost 1 inf + 233 0.333 * * [simplify]: Extracting #5: cost 0 inf + 380 0.333 * [simplify]: Simplified to (atan (+ 1 N)) 0.333 * [simplify]: Simplified (2 1) to (λ (N) (- (atan (+ 1 N)) (atan N))) 0.333 * * * [progress]: adding candidates to table 0.553 * * [progress]: iteration 2 / 4 0.553 * * * [progress]: picking best candidate 0.566 * * * * [pick]: Picked # 0.566 * * * [progress]: localizing error 0.589 * * * [progress]: generating rewritten candidates 0.589 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.590 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.607 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.612 * * * [progress]: generating series expansions 0.613 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.613 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ N (+ (pow N 2) 1))) 0.613 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 0.613 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 0.613 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 0.613 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 0.613 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 0.613 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 0.614 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 0.614 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 0.614 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 0.614 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 0.614 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 0.614 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 0.614 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 0.615 * [backup-simplify]: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 0.615 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 0.615 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 0.615 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 0.615 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 0.615 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 0.615 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 0.615 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.615 * [backup-simplify]: Simplify (* (+ N 1) N) into (* (+ N 1) N) 0.615 * [approximate]: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 0.615 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 0.615 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.615 * [taylor]: Taking taylor expansion of N in N 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [taylor]: Taking taylor expansion of 1 in N 0.616 * [backup-simplify]: Simplify 1 into 1 0.616 * [taylor]: Taking taylor expansion of N in N 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify 1 into 1 0.616 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 0.616 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.616 * [taylor]: Taking taylor expansion of N in N 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify 1 into 1 0.616 * [taylor]: Taking taylor expansion of 1 in N 0.616 * [backup-simplify]: Simplify 1 into 1 0.616 * [taylor]: Taking taylor expansion of N in N 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify 1 into 1 0.616 * [backup-simplify]: Simplify (+ 0 1) into 1 0.617 * [backup-simplify]: Simplify (* 1 0) into 0 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify (+ 1 0) into 1 0.617 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 0)) into 1 0.617 * [backup-simplify]: Simplify 1 into 1 0.618 * [backup-simplify]: Simplify (+ 0 0) into 0 0.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 0.618 * [backup-simplify]: Simplify 1 into 1 0.618 * [backup-simplify]: Simplify (+ 0 0) into 0 0.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify (+ 0 0) into 0 0.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify (+ 0 0) into 0 0.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.621 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify (+ 0 0) into 0 0.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.623 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify (+ 0 0) into 0 0.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify (+ 0 0) into 0 0.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ N (pow N 2)) 0.628 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1) (/ 1 N)) into (/ (+ (/ 1 N) 1) N) 0.628 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 0.628 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 0.628 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.628 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.628 * [taylor]: Taking taylor expansion of N in N 0.628 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 1 into 1 0.629 * [backup-simplify]: Simplify (/ 1 1) into 1 0.629 * [taylor]: Taking taylor expansion of 1 in N 0.629 * [backup-simplify]: Simplify 1 into 1 0.629 * [taylor]: Taking taylor expansion of N in N 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 1 into 1 0.630 * [backup-simplify]: Simplify (+ 1 0) into 1 0.630 * [backup-simplify]: Simplify (/ 1 1) into 1 0.630 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 0.630 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.630 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.630 * [taylor]: Taking taylor expansion of N in N 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 1 into 1 0.630 * [backup-simplify]: Simplify (/ 1 1) into 1 0.631 * [taylor]: Taking taylor expansion of 1 in N 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [taylor]: Taking taylor expansion of N in N 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [backup-simplify]: Simplify (+ 1 0) into 1 0.631 * [backup-simplify]: Simplify (/ 1 1) into 1 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.633 * [backup-simplify]: Simplify (+ 0 1) into 1 0.634 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 0.634 * [backup-simplify]: Simplify 1 into 1 0.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.635 * [backup-simplify]: Simplify (+ 0 0) into 0 0.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.636 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.637 * [backup-simplify]: Simplify (+ 0 0) into 0 0.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.638 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.639 * [backup-simplify]: Simplify (+ 0 0) into 0 0.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.640 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.642 * [backup-simplify]: Simplify (+ 0 0) into 0 0.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.643 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.644 * [backup-simplify]: Simplify (+ 0 0) into 0 0.645 * [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 0.645 * [backup-simplify]: Simplify 0 into 0 0.646 * [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 0.646 * [backup-simplify]: Simplify (+ 0 0) into 0 0.647 * [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 0.647 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ N (pow N 2)) 0.648 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (/ (- 1 (/ 1 N)) N)) 0.648 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0 0.648 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 0.648 * [taylor]: Taking taylor expansion of -1 in N 0.648 * [backup-simplify]: Simplify -1 into -1 0.648 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 0.648 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.648 * [taylor]: Taking taylor expansion of 1 in N 0.648 * [backup-simplify]: Simplify 1 into 1 0.648 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.648 * [taylor]: Taking taylor expansion of N in N 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 1 into 1 0.649 * [backup-simplify]: Simplify (/ 1 1) into 1 0.649 * [taylor]: Taking taylor expansion of N in N 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify 1 into 1 0.649 * [backup-simplify]: Simplify (- 1) into -1 0.649 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.650 * [backup-simplify]: Simplify (/ -1 1) into -1 0.650 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 0.650 * [taylor]: Taking taylor expansion of -1 in N 0.650 * [backup-simplify]: Simplify -1 into -1 0.650 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 0.650 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.650 * [taylor]: Taking taylor expansion of 1 in N 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.650 * [taylor]: Taking taylor expansion of N in N 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 1 into 1 0.651 * [backup-simplify]: Simplify (/ 1 1) into 1 0.651 * [taylor]: Taking taylor expansion of N in N 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 1 into 1 0.651 * [backup-simplify]: Simplify (- 1) into -1 0.651 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.652 * [backup-simplify]: Simplify (/ -1 1) into -1 0.652 * [backup-simplify]: Simplify (* -1 -1) into 1 0.652 * [backup-simplify]: Simplify 1 into 1 0.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.654 * [backup-simplify]: Simplify (- 0) into 0 0.654 * [backup-simplify]: Simplify (+ 1 0) into 1 0.655 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 0.656 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 0.656 * [backup-simplify]: Simplify -1 into -1 0.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.657 * [backup-simplify]: Simplify (- 0) into 0 0.657 * [backup-simplify]: Simplify (+ 0 0) into 0 0.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.659 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 0.659 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.661 * [backup-simplify]: Simplify (- 0) into 0 0.661 * [backup-simplify]: Simplify (+ 0 0) into 0 0.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.664 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 0.664 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.665 * [backup-simplify]: Simplify (- 0) into 0 0.665 * [backup-simplify]: Simplify (+ 0 0) into 0 0.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.668 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 0.668 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.669 * [backup-simplify]: Simplify (- 0) into 0 0.670 * [backup-simplify]: Simplify (+ 0 0) into 0 0.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.672 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 0.672 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.674 * [backup-simplify]: Simplify (- 0) into 0 0.675 * [backup-simplify]: Simplify (+ 0 0) into 0 0.676 * [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 0.678 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 0.678 * [backup-simplify]: Simplify 0 into 0 0.679 * [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 0.679 * [backup-simplify]: Simplify (- 0) into 0 0.679 * [backup-simplify]: Simplify (+ 0 0) into 0 0.680 * [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 0.682 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ N (pow N 2)) 0.682 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.682 * [backup-simplify]: Simplify (+ 1 (* (+ N 1) N)) into (+ N (+ (pow N 2) 1)) 0.682 * [approximate]: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in (N) around 0 0.682 * [taylor]: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N 0.682 * [taylor]: Taking taylor expansion of N in N 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N 0.682 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.682 * [taylor]: Taking taylor expansion of N in N 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [taylor]: Taking taylor expansion of 1 in N 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [taylor]: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N 0.682 * [taylor]: Taking taylor expansion of N in N 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N 0.682 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.682 * [taylor]: Taking taylor expansion of N in N 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [taylor]: Taking taylor expansion of 1 in N 0.682 * [backup-simplify]: Simplify 1 into 1 0.683 * [backup-simplify]: Simplify (+ 0 1) into 1 0.683 * [backup-simplify]: Simplify (+ 0 1) into 1 0.683 * [backup-simplify]: Simplify 1 into 1 0.683 * [backup-simplify]: Simplify (+ 0 0) into 0 0.683 * [backup-simplify]: Simplify (+ 1 0) into 1 0.683 * [backup-simplify]: Simplify 1 into 1 0.684 * [backup-simplify]: Simplify (* 1 1) into 1 0.684 * [backup-simplify]: Simplify (+ 1 0) into 1 0.684 * [backup-simplify]: Simplify (+ 0 1) into 1 0.684 * [backup-simplify]: Simplify 1 into 1 0.684 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1)) 0.684 * [backup-simplify]: Simplify (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))) into (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 0.685 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in (N) around 0 0.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in N 0.685 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.685 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.685 * [taylor]: Taking taylor expansion of N in N 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 1 into 1 0.685 * [backup-simplify]: Simplify (* 1 1) into 1 0.685 * [backup-simplify]: Simplify (/ 1 1) into 1 0.685 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.685 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.685 * [taylor]: Taking taylor expansion of N in N 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 1 into 1 0.685 * [backup-simplify]: Simplify (/ 1 1) into 1 0.685 * [taylor]: Taking taylor expansion of 1 in N 0.685 * [backup-simplify]: Simplify 1 into 1 0.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in N 0.685 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.685 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.686 * [taylor]: Taking taylor expansion of N in N 0.686 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify 1 into 1 0.686 * [backup-simplify]: Simplify (* 1 1) into 1 0.686 * [backup-simplify]: Simplify (/ 1 1) into 1 0.686 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.686 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.686 * [taylor]: Taking taylor expansion of N in N 0.686 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify 1 into 1 0.686 * [backup-simplify]: Simplify (/ 1 1) into 1 0.686 * [taylor]: Taking taylor expansion of 1 in N 0.686 * [backup-simplify]: Simplify 1 into 1 0.687 * [backup-simplify]: Simplify (+ 1 0) into 1 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.688 * [backup-simplify]: Simplify (+ 1 0) into 1 0.688 * [backup-simplify]: Simplify (+ 0 1) into 1 0.688 * [backup-simplify]: Simplify 1 into 1 0.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.690 * [backup-simplify]: Simplify (+ 0 1) into 1 0.690 * [backup-simplify]: Simplify (+ 0 1) into 1 0.690 * [backup-simplify]: Simplify 1 into 1 0.690 * [backup-simplify]: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1)) 0.690 * [backup-simplify]: Simplify (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 0.690 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in (N) around 0 0.690 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in N 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.690 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.690 * [taylor]: Taking taylor expansion of N in N 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify 1 into 1 0.691 * [backup-simplify]: Simplify (* 1 1) into 1 0.691 * [backup-simplify]: Simplify (/ 1 1) into 1 0.691 * [taylor]: Taking taylor expansion of 1 in N 0.691 * [backup-simplify]: Simplify 1 into 1 0.691 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.691 * [taylor]: Taking taylor expansion of N in N 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify 1 into 1 0.691 * [backup-simplify]: Simplify (/ 1 1) into 1 0.691 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in N 0.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.691 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.691 * [taylor]: Taking taylor expansion of N in N 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify 1 into 1 0.692 * [backup-simplify]: Simplify (* 1 1) into 1 0.692 * [backup-simplify]: Simplify (/ 1 1) into 1 0.692 * [taylor]: Taking taylor expansion of 1 in N 0.692 * [backup-simplify]: Simplify 1 into 1 0.692 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.692 * [taylor]: Taking taylor expansion of N in N 0.692 * [backup-simplify]: Simplify 0 into 0 0.692 * [backup-simplify]: Simplify 1 into 1 0.692 * [backup-simplify]: Simplify (/ 1 1) into 1 0.692 * [backup-simplify]: Simplify (+ 1 0) into 1 0.693 * [backup-simplify]: Simplify (+ 1 0) into 1 0.693 * [backup-simplify]: Simplify 1 into 1 0.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.694 * [backup-simplify]: Simplify (+ 0 0) into 0 0.694 * [backup-simplify]: Simplify (- 1) into -1 0.694 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.694 * [backup-simplify]: Simplify -1 into -1 0.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.696 * [backup-simplify]: Simplify (+ 0 1) into 1 0.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.696 * [backup-simplify]: Simplify (- 0) into 0 0.696 * [backup-simplify]: Simplify (+ 1 0) into 1 0.697 * [backup-simplify]: Simplify 1 into 1 0.697 * [backup-simplify]: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1)) 0.697 * * * [progress]: simplifying candidates 0.697 * * * * [progress]: [ 1 / 51 ] simplifiying candidate # 0.697 * * * * [progress]: [ 2 / 51 ] simplifiying candidate # 0.697 * * * * [progress]: [ 3 / 51 ] simplifiying candidate # 0.697 * * * * [progress]: [ 4 / 51 ] simplifiying candidate # 0.697 * * * * [progress]: [ 5 / 51 ] simplifiying candidate # 0.697 * * * * [progress]: [ 6 / 51 ] simplifiying candidate # 0.697 * * * * [progress]: [ 7 / 51 ] simplifiying candidate # 0.697 * * * * [progress]: [ 8 / 51 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ 1 (* (+ N 1) N))))))> 0.697 * * * * [progress]: [ 9 / 51 ] simplifiying candidate # 0.697 * [simplify]: Simplifying (* (+ N 1) N) 0.697 * * [simplify]: iters left: 4 (4 enodes) 0.700 * * [simplify]: iters left: 3 (16 enodes) 0.703 * * [simplify]: iters left: 2 (25 enodes) 0.707 * * [simplify]: iters left: 1 (27 enodes) 0.711 * * [simplify]: Extracting #0: cost 1 inf + 0 0.711 * * [simplify]: Extracting #1: cost 5 inf + 0 0.711 * * [simplify]: Extracting #2: cost 7 inf + 1 0.711 * * [simplify]: Extracting #3: cost 2 inf + 246 0.711 * * [simplify]: Extracting #4: cost 0 inf + 330 0.711 * [simplify]: Simplified to (+ (* N N) N) 0.711 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (pow (+ (* N N) N) 1)))) 0.712 * * * * [progress]: [ 10 / 51 ] simplifiying candidate # 0.712 * * * * [progress]: [ 11 / 51 ] simplifiying candidate # 0.712 * [simplify]: Simplifying (+ (log (+ N 1)) (log N)) 0.712 * * [simplify]: iters left: 5 (6 enodes) 0.715 * * [simplify]: iters left: 4 (22 enodes) 0.722 * * [simplify]: iters left: 3 (24 enodes) 0.729 * * [simplify]: Extracting #0: cost 1 inf + 0 0.729 * * [simplify]: Extracting #1: cost 4 inf + 0 0.729 * * [simplify]: Extracting #2: cost 8 inf + 0 0.729 * * [simplify]: Extracting #3: cost 7 inf + 143 0.729 * * [simplify]: Extracting #4: cost 6 inf + 144 0.729 * * [simplify]: Extracting #5: cost 0 inf + 896 0.730 * [simplify]: Simplified to (+ (log (+ 1 N)) (log N)) 0.730 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (exp (+ (log (+ 1 N)) (log N)))))) 0.730 * * * * [progress]: [ 12 / 51 ] simplifiying candidate # 0.730 * * * * [progress]: [ 13 / 51 ] simplifiying candidate # 0.730 * * * * [progress]: [ 14 / 51 ] simplifiying candidate # 0.730 * [simplify]: Simplifying (* (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N)) 0.730 * * [simplify]: iters left: 6 (8 enodes) 0.736 * * [simplify]: iters left: 5 (46 enodes) 0.756 * * [simplify]: iters left: 4 (112 enodes) 0.792 * * [simplify]: iters left: 3 (266 enodes) 1.032 * * [simplify]: Extracting #0: cost 1 inf + 0 1.032 * * [simplify]: Extracting #1: cost 41 inf + 0 1.032 * * [simplify]: Extracting #2: cost 143 inf + 44 1.035 * * [simplify]: Extracting #3: cost 121 inf + 6793 1.042 * * [simplify]: Extracting #4: cost 8 inf + 29851 1.054 * * [simplify]: Extracting #5: cost 0 inf + 31580 1.073 * * [simplify]: Extracting #6: cost 0 inf + 31540 1.081 * [simplify]: Simplified to (* (+ (* N N) N) (* (+ (* N N) N) (+ (* N N) N))) 1.081 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (cbrt (* (+ (* N N) N) (* (+ (* N N) N) (+ (* N N) N))))))) 1.081 * * * * [progress]: [ 15 / 51 ] simplifiying candidate # 1.081 * * * * [progress]: [ 16 / 51 ] simplifiying candidate # 1.081 * * * * [progress]: [ 17 / 51 ] simplifiying candidate # 1.081 * * * * [progress]: [ 18 / 51 ] simplifiying candidate # 1.081 * * * * [progress]: [ 19 / 51 ] simplifiying candidate # 1.081 * [simplify]: Simplifying (* (sqrt (+ N 1)) (sqrt N)) 1.081 * * [simplify]: iters left: 5 (6 enodes) 1.083 * * [simplify]: iters left: 4 (22 enodes) 1.087 * * [simplify]: iters left: 3 (24 enodes) 1.090 * * [simplify]: Extracting #0: cost 1 inf + 0 1.090 * * [simplify]: Extracting #1: cost 4 inf + 0 1.090 * * [simplify]: Extracting #2: cost 8 inf + 0 1.090 * * [simplify]: Extracting #3: cost 7 inf + 83 1.090 * * [simplify]: Extracting #4: cost 6 inf + 84 1.090 * * [simplify]: Extracting #5: cost 0 inf + 656 1.091 * [simplify]: Simplified to (* (sqrt (+ 1 N)) (sqrt N)) 1.091 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (sqrt (+ 1 N)) (sqrt N)) (* (sqrt (+ N 1)) (sqrt N)))))) 1.091 * [simplify]: Simplifying (* (sqrt (+ N 1)) (sqrt N)) 1.091 * * [simplify]: iters left: 5 (6 enodes) 1.093 * * [simplify]: iters left: 4 (22 enodes) 1.096 * * [simplify]: iters left: 3 (24 enodes) 1.100 * * [simplify]: Extracting #0: cost 1 inf + 0 1.100 * * [simplify]: Extracting #1: cost 4 inf + 0 1.100 * * [simplify]: Extracting #2: cost 8 inf + 0 1.100 * * [simplify]: Extracting #3: cost 7 inf + 83 1.100 * * [simplify]: Extracting #4: cost 6 inf + 84 1.100 * * [simplify]: Extracting #5: cost 0 inf + 656 1.100 * [simplify]: Simplified to (* (sqrt (+ 1 N)) (sqrt N)) 1.100 * [simplify]: Simplified (2 2 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (sqrt (+ N 1)) (sqrt N)) (* (sqrt (+ 1 N)) (sqrt N)))))) 1.100 * * * * [progress]: [ 20 / 51 ] simplifiying candidate # 1.101 * [simplify]: Simplifying (cbrt N) 1.101 * * [simplify]: iters left: 1 (2 enodes) 1.101 * * [simplify]: Extracting #0: cost 1 inf + 0 1.101 * * [simplify]: Extracting #1: cost 3 inf + 0 1.101 * * [simplify]: Extracting #2: cost 2 inf + 1 1.101 * * [simplify]: Extracting #3: cost 0 inf + 163 1.101 * [simplify]: Simplified to (cbrt N) 1.101 * [simplify]: Simplified (2 2 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (+ N 1) (* (cbrt N) (cbrt N))) (cbrt N))))) 1.101 * * * * [progress]: [ 21 / 51 ] simplifiying candidate # 1.102 * [simplify]: Simplifying (sqrt N) 1.102 * * [simplify]: iters left: 1 (2 enodes) 1.102 * * [simplify]: Extracting #0: cost 1 inf + 0 1.102 * * [simplify]: Extracting #1: cost 3 inf + 0 1.102 * * [simplify]: Extracting #2: cost 2 inf + 1 1.102 * * [simplify]: Extracting #3: cost 0 inf + 83 1.102 * [simplify]: Simplified to (sqrt N) 1.102 * [simplify]: Simplified (2 2 2 2) to (λ (N) (atan2 1 (+ 1 (* (* (+ N 1) (sqrt N)) (sqrt N))))) 1.102 * * * * [progress]: [ 22 / 51 ] simplifiying candidate # 1.102 * * * * [progress]: [ 23 / 51 ] simplifiying candidate # 1.102 * [simplify]: Simplifying (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1.103 * * [simplify]: iters left: 5 (5 enodes) 1.104 * * [simplify]: iters left: 4 (18 enodes) 1.110 * * [simplify]: iters left: 3 (20 enodes) 1.115 * * [simplify]: Extracting #0: cost 1 inf + 0 1.115 * * [simplify]: Extracting #1: cost 3 inf + 0 1.116 * * [simplify]: Extracting #2: cost 5 inf + 0 1.116 * * [simplify]: Extracting #3: cost 8 inf + 0 1.116 * * [simplify]: Extracting #4: cost 6 inf + 2 1.116 * * [simplify]: Extracting #5: cost 0 inf + 654 1.116 * [simplify]: Simplified to (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1.116 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt (+ N 1)) N))))) 1.116 * * * * [progress]: [ 24 / 51 ] simplifiying candidate # 1.117 * [simplify]: Simplifying (sqrt (+ N 1)) 1.117 * * [simplify]: iters left: 3 (4 enodes) 1.119 * * [simplify]: iters left: 2 (15 enodes) 1.122 * * [simplify]: iters left: 1 (17 enodes) 1.125 * * [simplify]: Extracting #0: cost 1 inf + 0 1.125 * * [simplify]: Extracting #1: cost 3 inf + 0 1.125 * * [simplify]: Extracting #2: cost 6 inf + 0 1.125 * * [simplify]: Extracting #3: cost 2 inf + 86 1.125 * * [simplify]: Extracting #4: cost 1 inf + 168 1.125 * * [simplify]: Extracting #5: cost 0 inf + 250 1.125 * [simplify]: Simplified to (sqrt (+ 1 N)) 1.125 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (* (sqrt (+ 1 N)) (* (sqrt (+ N 1)) N))))) 1.125 * * * * [progress]: [ 25 / 51 ] simplifiying candidate # 1.125 * * * * [progress]: [ 26 / 51 ] simplifiying candidate # 1.125 * * * * [progress]: [ 27 / 51 ] simplifiying candidate # 1.125 * [simplify]: Simplifying (* (+ (pow N 3) (pow 1 3)) N) 1.126 * * [simplify]: iters left: 5 (7 enodes) 1.129 * * [simplify]: iters left: 4 (33 enodes) 1.136 * * [simplify]: iters left: 3 (61 enodes) 1.149 * * [simplify]: iters left: 2 (97 enodes) 1.182 * * [simplify]: iters left: 1 (165 enodes) 1.219 * * [simplify]: Extracting #0: cost 1 inf + 0 1.219 * * [simplify]: Extracting #1: cost 5 inf + 0 1.219 * * [simplify]: Extracting #2: cost 19 inf + 1 1.220 * * [simplify]: Extracting #3: cost 47 inf + 256 1.220 * * [simplify]: Extracting #4: cost 32 inf + 2796 1.223 * * [simplify]: Extracting #5: cost 4 inf + 11668 1.226 * * [simplify]: Extracting #6: cost 1 inf + 12515 1.228 * * [simplify]: Extracting #7: cost 0 inf + 12727 1.231 * [simplify]: Simplified to (+ (* (* N N) (* N N)) N) 1.231 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (/ (+ (* (* N N) (* N N)) N) (+ (* N N) (- (* 1 1) (* N 1))))))) 1.232 * * * * [progress]: [ 28 / 51 ] simplifiying candidate # 1.232 * [simplify]: Simplifying (* (- (* N N) (* 1 1)) N) 1.232 * * [simplify]: iters left: 6 (6 enodes) 1.236 * * [simplify]: iters left: 5 (22 enodes) 1.243 * * [simplify]: iters left: 4 (29 enodes) 1.254 * * [simplify]: iters left: 3 (40 enodes) 1.269 * * [simplify]: iters left: 2 (78 enodes) 1.305 * * [simplify]: iters left: 1 (136 enodes) 1.331 * * [simplify]: Extracting #0: cost 1 inf + 0 1.332 * * [simplify]: Extracting #1: cost 13 inf + 0 1.332 * * [simplify]: Extracting #2: cost 48 inf + 1 1.332 * * [simplify]: Extracting #3: cost 36 inf + 864 1.333 * * [simplify]: Extracting #4: cost 0 inf + 4172 1.334 * * [simplify]: Extracting #5: cost 0 inf + 4168 1.335 * [simplify]: Simplified to (- (* N (* N N)) N) 1.335 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ 1 (/ (- (* N (* N N)) N) (- N 1))))) 1.336 * * * * [progress]: [ 29 / 51 ] simplifiying candidate #real (real->posit16 (* (+ N 1) N))))))> 1.336 * * * * [progress]: [ 30 / 51 ] simplifiying candidate # 1.336 * * * * [progress]: [ 31 / 51 ] simplifiying candidate # 1.336 * [simplify]: Simplifying (* (exp 1) (exp (* (+ N 1) N))) 1.336 * * [simplify]: iters left: 6 (7 enodes) 1.338 * * [simplify]: iters left: 5 (29 enodes) 1.343 * * [simplify]: iters left: 4 (51 enodes) 1.352 * * [simplify]: iters left: 3 (77 enodes) 1.364 * * [simplify]: iters left: 2 (129 enodes) 1.397 * * [simplify]: iters left: 1 (240 enodes) 1.463 * * [simplify]: Extracting #0: cost 1 inf + 0 1.463 * * [simplify]: Extracting #1: cost 35 inf + 0 1.464 * * [simplify]: Extracting #2: cost 126 inf + 1 1.465 * * [simplify]: Extracting #3: cost 143 inf + 830 1.467 * * [simplify]: Extracting #4: cost 122 inf + 3483 1.471 * * [simplify]: Extracting #5: cost 70 inf + 18662 1.482 * * [simplify]: Extracting #6: cost 14 inf + 48940 1.498 * * [simplify]: Extracting #7: cost 0 inf + 59498 1.511 * [simplify]: Simplified to (exp (+ 1 (* N (+ 1 N)))) 1.512 * [simplify]: Simplified (2 2 1) to (λ (N) (atan2 1 (log (exp (+ 1 (* N (+ 1 N))))))) 1.512 * * * * [progress]: [ 32 / 51 ] simplifiying candidate # 1.512 * * * * [progress]: [ 33 / 51 ] simplifiying candidate # 1.512 * * * * [progress]: [ 34 / 51 ] simplifiying candidate # 1.512 * * * * [progress]: [ 35 / 51 ] simplifiying candidate # 1.512 * * * * [progress]: [ 36 / 51 ] simplifiying candidate # 1.512 * * * * [progress]: [ 37 / 51 ] simplifiying candidate # 1.512 * * * * [progress]: [ 38 / 51 ] simplifiying candidate # 1.512 * * * * [progress]: [ 39 / 51 ] simplifiying candidate # 1.512 * * * * [progress]: [ 40 / 51 ] simplifiying candidate # 1.512 * * * * [progress]: [ 41 / 51 ] simplifiying candidate #real (real->posit16 (+ 1 (* (+ N 1) N))))))> 1.512 * * * * [progress]: [ 42 / 51 ] simplifiying candidate # 1.512 * * * * [progress]: [ 43 / 51 ] simplifiying candidate # 1.513 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1.513 * * [simplify]: iters left: 6 (7 enodes) 1.515 * * [simplify]: iters left: 5 (31 enodes) 1.520 * * [simplify]: iters left: 4 (42 enodes) 1.526 * * [simplify]: iters left: 3 (48 enodes) 1.532 * * [simplify]: iters left: 2 (54 enodes) 1.539 * * [simplify]: Extracting #0: cost 1 inf + 0 1.539 * * [simplify]: Extracting #1: cost 4 inf + 0 1.539 * * [simplify]: Extracting #2: cost 9 inf + 1 1.539 * * [simplify]: Extracting #3: cost 5 inf + 1016 1.540 * * [simplify]: Extracting #4: cost 0 inf + 1263 1.540 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1))) 1.540 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1)))) 1.540 * * * * [progress]: [ 44 / 51 ] simplifiying candidate # 1.540 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1.540 * * [simplify]: iters left: 6 (7 enodes) 1.544 * * [simplify]: iters left: 5 (31 enodes) 1.554 * * [simplify]: iters left: 4 (42 enodes) 1.565 * * [simplify]: iters left: 3 (48 enodes) 1.571 * * [simplify]: iters left: 2 (54 enodes) 1.578 * * [simplify]: Extracting #0: cost 1 inf + 0 1.578 * * [simplify]: Extracting #1: cost 4 inf + 0 1.578 * * [simplify]: Extracting #2: cost 9 inf + 1 1.578 * * [simplify]: Extracting #3: cost 5 inf + 1016 1.578 * * [simplify]: Extracting #4: cost 0 inf + 1263 1.579 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1))) 1.579 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1)))) 1.579 * * * * [progress]: [ 45 / 51 ] simplifiying candidate # 1.579 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 1.579 * * [simplify]: iters left: 6 (7 enodes) 1.581 * * [simplify]: iters left: 5 (31 enodes) 1.586 * * [simplify]: iters left: 4 (42 enodes) 1.592 * * [simplify]: iters left: 3 (48 enodes) 1.602 * * [simplify]: iters left: 2 (54 enodes) 1.609 * * [simplify]: Extracting #0: cost 1 inf + 0 1.609 * * [simplify]: Extracting #1: cost 4 inf + 0 1.609 * * [simplify]: Extracting #2: cost 9 inf + 1 1.609 * * [simplify]: Extracting #3: cost 5 inf + 1016 1.609 * * [simplify]: Extracting #4: cost 0 inf + 1263 1.609 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1))) 1.609 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1)))) 1.610 * * * * [progress]: [ 46 / 51 ] simplifiying candidate # 1.610 * [simplify]: Simplifying (+ N (pow N 2)) 1.610 * * [simplify]: iters left: 3 (4 enodes) 1.611 * * [simplify]: iters left: 2 (18 enodes) 1.614 * * [simplify]: iters left: 1 (24 enodes) 1.618 * * [simplify]: Extracting #0: cost 1 inf + 0 1.618 * * [simplify]: Extracting #1: cost 5 inf + 0 1.618 * * [simplify]: Extracting #2: cost 8 inf + 1 1.618 * * [simplify]: Extracting #3: cost 2 inf + 247 1.618 * * [simplify]: Extracting #4: cost 0 inf + 331 1.618 * [simplify]: Simplified to (+ N (* N N)) 1.618 * [simplify]: Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N))))) 1.618 * * * * [progress]: [ 47 / 51 ] simplifiying candidate # 1.618 * [simplify]: Simplifying (+ N (pow N 2)) 1.619 * * [simplify]: iters left: 3 (4 enodes) 1.620 * * [simplify]: iters left: 2 (18 enodes) 1.626 * * [simplify]: iters left: 1 (24 enodes) 1.633 * * [simplify]: Extracting #0: cost 1 inf + 0 1.633 * * [simplify]: Extracting #1: cost 5 inf + 0 1.633 * * [simplify]: Extracting #2: cost 8 inf + 1 1.633 * * [simplify]: Extracting #3: cost 2 inf + 247 1.633 * * [simplify]: Extracting #4: cost 0 inf + 331 1.633 * [simplify]: Simplified to (+ N (* N N)) 1.634 * [simplify]: Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N))))) 1.634 * * * * [progress]: [ 48 / 51 ] simplifiying candidate # 1.634 * [simplify]: Simplifying (+ N (pow N 2)) 1.634 * * [simplify]: iters left: 3 (4 enodes) 1.637 * * [simplify]: iters left: 2 (18 enodes) 1.643 * * [simplify]: iters left: 1 (24 enodes) 1.647 * * [simplify]: Extracting #0: cost 1 inf + 0 1.647 * * [simplify]: Extracting #1: cost 5 inf + 0 1.647 * * [simplify]: Extracting #2: cost 8 inf + 1 1.647 * * [simplify]: Extracting #3: cost 2 inf + 247 1.648 * * [simplify]: Extracting #4: cost 0 inf + 331 1.648 * [simplify]: Simplified to (+ N (* N N)) 1.648 * [simplify]: Simplified (2 2 2) to (λ (N) (atan2 1 (+ 1 (+ N (* N N))))) 1.648 * * * * [progress]: [ 49 / 51 ] simplifiying candidate # 1.648 * [simplify]: Simplifying (+ N (+ (pow N 2) 1)) 1.648 * * [simplify]: iters left: 5 (6 enodes) 1.650 * * [simplify]: iters left: 4 (28 enodes) 1.654 * * [simplify]: iters left: 3 (39 enodes) 1.660 * * [simplify]: iters left: 2 (45 enodes) 1.666 * * [simplify]: iters left: 1 (51 enodes) 1.672 * * [simplify]: Extracting #0: cost 1 inf + 0 1.672 * * [simplify]: Extracting #1: cost 8 inf + 0 1.672 * * [simplify]: Extracting #2: cost 11 inf + 2 1.672 * * [simplify]: Extracting #3: cost 1 inf + 697 1.673 * * [simplify]: Extracting #4: cost 0 inf + 739 1.673 * [simplify]: Simplified to (+ N (+ 1 (* N N))) 1.673 * [simplify]: Simplified (2 2) to (λ (N) (atan2 1 (+ N (+ 1 (* N N))))) 1.673 * * * * [progress]: [ 50 / 51 ] simplifiying candidate # 1.674 * [simplify]: Simplifying (+ N (+ (pow N 2) 1)) 1.674 * * [simplify]: iters left: 5 (6 enodes) 1.678 * * [simplify]: iters left: 4 (28 enodes) 1.687 * * [simplify]: iters left: 3 (39 enodes) 1.698 * * [simplify]: iters left: 2 (45 enodes) 1.711 * * [simplify]: iters left: 1 (51 enodes) 1.724 * * [simplify]: Extracting #0: cost 1 inf + 0 1.724 * * [simplify]: Extracting #1: cost 8 inf + 0 1.724 * * [simplify]: Extracting #2: cost 11 inf + 2 1.724 * * [simplify]: Extracting #3: cost 1 inf + 697 1.725 * * [simplify]: Extracting #4: cost 0 inf + 739 1.725 * [simplify]: Simplified to (+ N (+ 1 (* N N))) 1.725 * [simplify]: Simplified (2 2) to (λ (N) (atan2 1 (+ N (+ 1 (* N N))))) 1.725 * * * * [progress]: [ 51 / 51 ] simplifiying candidate # 1.725 * [simplify]: Simplifying (+ N (+ (pow N 2) 1)) 1.726 * * [simplify]: iters left: 5 (6 enodes) 1.730 * * [simplify]: iters left: 4 (28 enodes) 1.739 * * [simplify]: iters left: 3 (39 enodes) 1.750 * * [simplify]: iters left: 2 (45 enodes) 1.762 * * [simplify]: iters left: 1 (51 enodes) 1.774 * * [simplify]: Extracting #0: cost 1 inf + 0 1.774 * * [simplify]: Extracting #1: cost 8 inf + 0 1.774 * * [simplify]: Extracting #2: cost 11 inf + 2 1.775 * * [simplify]: Extracting #3: cost 1 inf + 697 1.775 * * [simplify]: Extracting #4: cost 0 inf + 739 1.776 * [simplify]: Simplified to (+ N (+ 1 (* N N))) 1.776 * [simplify]: Simplified (2 2) to (λ (N) (atan2 1 (+ N (+ 1 (* N N))))) 1.776 * * * [progress]: adding candidates to table 2.204 * * [progress]: iteration 3 / 4 2.204 * * * [progress]: picking best candidate 2.233 * * * * [pick]: Picked # 2.233 * * * [progress]: localizing error 2.250 * * * [progress]: generating rewritten candidates 2.250 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.250 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 2.260 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 2.265 * * * [progress]: generating series expansions 2.265 * * * * [progress]: [ 1 / 3 ] generating series at (2) 2.265 * [backup-simplify]: Simplify (atan2 1 (+ N (+ 1 (* N N)))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.265 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in (N) around 0 2.265 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.265 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.265 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (+ (pow N 2) 1))) in N 2.265 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.265 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify (atan2 1 (+ N (+ (pow N 2) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.266 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (+ 1 (* (/ 1 N) (/ 1 N))))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.266 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in (N) around 0 2.266 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.266 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.266 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 2.266 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.266 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) into (atan2 1 (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (pow (/ 1 N) 2)) (+ (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.267 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (- N)) (+ 1 (* (/ 1 (- N)) (/ 1 (- N)))))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.267 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 2.267 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.267 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.267 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 2.267 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.267 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) into (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify (atan2 1 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (+ (pow N 2) 1))) 2.267 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 2.267 * [backup-simplify]: Simplify (+ N (+ 1 (* N N))) into (+ N (+ (pow N 2) 1)) 2.267 * [approximate]: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in (N) around 0 2.267 * [taylor]: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N 2.268 * [taylor]: Taking taylor expansion of N in N 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify 1 into 1 2.268 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N 2.268 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.268 * [taylor]: Taking taylor expansion of N in N 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify 1 into 1 2.268 * [taylor]: Taking taylor expansion of 1 in N 2.268 * [backup-simplify]: Simplify 1 into 1 2.268 * [taylor]: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N 2.268 * [taylor]: Taking taylor expansion of N in N 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify 1 into 1 2.268 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N 2.268 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.268 * [taylor]: Taking taylor expansion of N in N 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify 1 into 1 2.268 * [taylor]: Taking taylor expansion of 1 in N 2.268 * [backup-simplify]: Simplify 1 into 1 2.268 * [backup-simplify]: Simplify (+ 0 1) into 1 2.269 * [backup-simplify]: Simplify (+ 0 1) into 1 2.269 * [backup-simplify]: Simplify 1 into 1 2.269 * [backup-simplify]: Simplify (+ 0 0) into 0 2.269 * [backup-simplify]: Simplify (+ 1 0) into 1 2.269 * [backup-simplify]: Simplify 1 into 1 2.269 * [backup-simplify]: Simplify (* 1 1) into 1 2.270 * [backup-simplify]: Simplify (+ 1 0) into 1 2.270 * [backup-simplify]: Simplify (+ 0 1) into 1 2.270 * [backup-simplify]: Simplify 1 into 1 2.270 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1)) 2.270 * [backup-simplify]: Simplify (+ (/ 1 N) (+ 1 (* (/ 1 N) (/ 1 N)))) into (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 2.270 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in (N) around 0 2.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in N 2.270 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.270 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.270 * [taylor]: Taking taylor expansion of N in N 2.270 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify 1 into 1 2.271 * [backup-simplify]: Simplify (* 1 1) into 1 2.271 * [backup-simplify]: Simplify (/ 1 1) into 1 2.271 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.271 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.271 * [taylor]: Taking taylor expansion of N in N 2.271 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify 1 into 1 2.271 * [backup-simplify]: Simplify (/ 1 1) into 1 2.271 * [taylor]: Taking taylor expansion of 1 in N 2.271 * [backup-simplify]: Simplify 1 into 1 2.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in N 2.271 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.271 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.271 * [taylor]: Taking taylor expansion of N in N 2.271 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify 1 into 1 2.272 * [backup-simplify]: Simplify (* 1 1) into 1 2.272 * [backup-simplify]: Simplify (/ 1 1) into 1 2.272 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.272 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.272 * [taylor]: Taking taylor expansion of N in N 2.272 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify 1 into 1 2.272 * [backup-simplify]: Simplify (/ 1 1) into 1 2.272 * [taylor]: Taking taylor expansion of 1 in N 2.272 * [backup-simplify]: Simplify 1 into 1 2.273 * [backup-simplify]: Simplify (+ 1 0) into 1 2.273 * [backup-simplify]: Simplify 1 into 1 2.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.274 * [backup-simplify]: Simplify (+ 1 0) into 1 2.274 * [backup-simplify]: Simplify (+ 0 1) into 1 2.274 * [backup-simplify]: Simplify 1 into 1 2.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.276 * [backup-simplify]: Simplify (+ 0 1) into 1 2.276 * [backup-simplify]: Simplify (+ 0 1) into 1 2.276 * [backup-simplify]: Simplify 1 into 1 2.276 * [backup-simplify]: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1)) 2.276 * [backup-simplify]: Simplify (+ (/ 1 (- N)) (+ 1 (* (/ 1 (- N)) (/ 1 (- N))))) into (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 2.276 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in (N) around 0 2.277 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in N 2.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 2.277 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.277 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.277 * [taylor]: Taking taylor expansion of N in N 2.277 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify 1 into 1 2.277 * [backup-simplify]: Simplify (* 1 1) into 1 2.277 * [backup-simplify]: Simplify (/ 1 1) into 1 2.277 * [taylor]: Taking taylor expansion of 1 in N 2.278 * [backup-simplify]: Simplify 1 into 1 2.278 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.278 * [taylor]: Taking taylor expansion of N in N 2.278 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify 1 into 1 2.278 * [backup-simplify]: Simplify (/ 1 1) into 1 2.278 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in N 2.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 2.278 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.278 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.278 * [taylor]: Taking taylor expansion of N in N 2.278 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify 1 into 1 2.279 * [backup-simplify]: Simplify (* 1 1) into 1 2.279 * [backup-simplify]: Simplify (/ 1 1) into 1 2.279 * [taylor]: Taking taylor expansion of 1 in N 2.279 * [backup-simplify]: Simplify 1 into 1 2.279 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.279 * [taylor]: Taking taylor expansion of N in N 2.279 * [backup-simplify]: Simplify 0 into 0 2.279 * [backup-simplify]: Simplify 1 into 1 2.280 * [backup-simplify]: Simplify (/ 1 1) into 1 2.280 * [backup-simplify]: Simplify (+ 1 0) into 1 2.280 * [backup-simplify]: Simplify (+ 1 0) into 1 2.281 * [backup-simplify]: Simplify 1 into 1 2.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.282 * [backup-simplify]: Simplify (+ 0 0) into 0 2.283 * [backup-simplify]: Simplify (- 1) into -1 2.283 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.283 * [backup-simplify]: Simplify -1 into -1 2.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.286 * [backup-simplify]: Simplify (+ 0 1) into 1 2.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.290 * [backup-simplify]: Simplify (- 0) into 0 2.291 * [backup-simplify]: Simplify (+ 1 0) into 1 2.291 * [backup-simplify]: Simplify 1 into 1 2.291 * [backup-simplify]: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1)) 2.291 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 2.291 * [backup-simplify]: Simplify (+ 1 (* N N)) into (+ (pow N 2) 1) 2.291 * [approximate]: Taking taylor expansion of (+ (pow N 2) 1) in (N) around 0 2.291 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N 2.291 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.291 * [taylor]: Taking taylor expansion of N in N 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 1 into 1 2.291 * [taylor]: Taking taylor expansion of 1 in N 2.291 * [backup-simplify]: Simplify 1 into 1 2.291 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N 2.291 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.291 * [taylor]: Taking taylor expansion of N in N 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 1 into 1 2.291 * [taylor]: Taking taylor expansion of 1 in N 2.291 * [backup-simplify]: Simplify 1 into 1 2.292 * [backup-simplify]: Simplify (+ 0 1) into 1 2.292 * [backup-simplify]: Simplify 1 into 1 2.292 * [backup-simplify]: Simplify (+ 0 0) into 0 2.292 * [backup-simplify]: Simplify 0 into 0 2.292 * [backup-simplify]: Simplify (* 1 1) into 1 2.293 * [backup-simplify]: Simplify (+ 1 0) into 1 2.293 * [backup-simplify]: Simplify 1 into 1 2.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.293 * [backup-simplify]: Simplify (+ 0 0) into 0 2.293 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.294 * [backup-simplify]: Simplify (+ 0 0) into 0 2.294 * [backup-simplify]: Simplify 0 into 0 2.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.295 * [backup-simplify]: Simplify (+ 0 0) into 0 2.295 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.296 * [backup-simplify]: Simplify (+ 0 0) into 0 2.296 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.297 * [backup-simplify]: Simplify (+ 0 0) into 0 2.297 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.298 * [backup-simplify]: Simplify (+ 0 0) into 0 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) 1) into (+ (pow N 2) 1) 2.298 * [backup-simplify]: Simplify (+ 1 (* (/ 1 N) (/ 1 N))) into (+ (/ 1 (pow N 2)) 1) 2.298 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in (N) around 0 2.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 2.298 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.298 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.298 * [taylor]: Taking taylor expansion of N in N 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify 1 into 1 2.299 * [backup-simplify]: Simplify (* 1 1) into 1 2.299 * [backup-simplify]: Simplify (/ 1 1) into 1 2.299 * [taylor]: Taking taylor expansion of 1 in N 2.299 * [backup-simplify]: Simplify 1 into 1 2.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 2.299 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.299 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.299 * [taylor]: Taking taylor expansion of N in N 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify 1 into 1 2.299 * [backup-simplify]: Simplify (* 1 1) into 1 2.299 * [backup-simplify]: Simplify (/ 1 1) into 1 2.299 * [taylor]: Taking taylor expansion of 1 in N 2.299 * [backup-simplify]: Simplify 1 into 1 2.300 * [backup-simplify]: Simplify (+ 1 0) into 1 2.300 * [backup-simplify]: Simplify 1 into 1 2.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.301 * [backup-simplify]: Simplify (+ 0 0) into 0 2.301 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.302 * [backup-simplify]: Simplify (+ 0 1) into 1 2.302 * [backup-simplify]: Simplify 1 into 1 2.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.304 * [backup-simplify]: Simplify (+ 0 0) into 0 2.304 * [backup-simplify]: Simplify 0 into 0 2.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.305 * [backup-simplify]: Simplify (+ 0 0) into 0 2.305 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.307 * [backup-simplify]: Simplify (+ 0 0) into 0 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.308 * [backup-simplify]: Simplify (+ 0 0) into 0 2.308 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.310 * [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 2.310 * [backup-simplify]: Simplify (+ 0 0) into 0 2.310 * [backup-simplify]: Simplify 0 into 0 2.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 2.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.312 * [backup-simplify]: Simplify (+ 0 0) into 0 2.312 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify (+ 1 (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) 1) 2.312 * [backup-simplify]: Simplify (+ 1 (* (/ 1 (- N)) (/ 1 (- N)))) into (+ (/ 1 (pow N 2)) 1) 2.312 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in (N) around 0 2.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 2.312 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.312 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.312 * [taylor]: Taking taylor expansion of N in N 2.312 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify 1 into 1 2.313 * [backup-simplify]: Simplify (* 1 1) into 1 2.313 * [backup-simplify]: Simplify (/ 1 1) into 1 2.313 * [taylor]: Taking taylor expansion of 1 in N 2.313 * [backup-simplify]: Simplify 1 into 1 2.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 2.313 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.313 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.313 * [taylor]: Taking taylor expansion of N in N 2.313 * [backup-simplify]: Simplify 0 into 0 2.313 * [backup-simplify]: Simplify 1 into 1 2.313 * [backup-simplify]: Simplify (* 1 1) into 1 2.314 * [backup-simplify]: Simplify (/ 1 1) into 1 2.314 * [taylor]: Taking taylor expansion of 1 in N 2.314 * [backup-simplify]: Simplify 1 into 1 2.314 * [backup-simplify]: Simplify (+ 1 0) into 1 2.314 * [backup-simplify]: Simplify 1 into 1 2.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.315 * [backup-simplify]: Simplify (+ 0 0) into 0 2.315 * [backup-simplify]: Simplify 0 into 0 2.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.316 * [backup-simplify]: Simplify (+ 0 1) into 1 2.316 * [backup-simplify]: Simplify 1 into 1 2.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.318 * [backup-simplify]: Simplify (+ 0 0) into 0 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.319 * [backup-simplify]: Simplify (+ 0 0) into 0 2.319 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.321 * [backup-simplify]: Simplify (+ 0 0) into 0 2.321 * [backup-simplify]: Simplify 0 into 0 2.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.324 * [backup-simplify]: Simplify (+ 0 0) into 0 2.324 * [backup-simplify]: Simplify 0 into 0 2.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.327 * [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 2.327 * [backup-simplify]: Simplify (+ 0 0) into 0 2.327 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 2.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.331 * [backup-simplify]: Simplify (+ 0 0) into 0 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify (+ 1 (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) 1) 2.331 * * * [progress]: simplifying candidates 2.331 * * * * [progress]: [ 1 / 44 ] simplifiying candidate # 2.331 * * * * [progress]: [ 2 / 44 ] simplifiying candidate # 2.331 * * * * [progress]: [ 3 / 44 ] simplifiying candidate # 2.331 * * * * [progress]: [ 4 / 44 ] simplifiying candidate # 2.331 * * * * [progress]: [ 5 / 44 ] simplifiying candidate # 2.331 * * * * [progress]: [ 6 / 44 ] simplifiying candidate # 2.331 * * * * [progress]: [ 7 / 44 ] simplifiying candidate # 2.332 * * * * [progress]: [ 8 / 44 ] simplifiying candidate #real (real->posit16 (atan2 1 (+ N (+ 1 (* N N)))))))> 2.332 * * * * [progress]: [ 9 / 44 ] simplifiying candidate # 2.332 * [simplify]: Simplifying (* (exp N) (* (exp 1) (exp (* N N)))) 2.332 * * [simplify]: iters left: 6 (8 enodes) 2.336 * * [simplify]: iters left: 5 (32 enodes) 2.347 * * [simplify]: iters left: 4 (51 enodes) 2.356 * * [simplify]: iters left: 3 (88 enodes) 2.371 * * [simplify]: iters left: 2 (162 enodes) 2.405 * * [simplify]: iters left: 1 (336 enodes) 2.529 * * [simplify]: Extracting #0: cost 1 inf + 0 2.529 * * [simplify]: Extracting #1: cost 57 inf + 0 2.531 * * [simplify]: Extracting #2: cost 225 inf + 1 2.533 * * [simplify]: Extracting #3: cost 242 inf + 1321 2.537 * * [simplify]: Extracting #4: cost 194 inf + 12342 2.548 * * [simplify]: Extracting #5: cost 104 inf + 47370 2.577 * * [simplify]: Extracting #6: cost 3 inf + 115785 2.594 * * [simplify]: Extracting #7: cost 0 inf + 117696 2.608 * [simplify]: Simplified to (exp (+ N (+ 1 (* N N)))) 2.608 * [simplify]: Simplified (2 2 1) to (λ (N) (atan2 1 (log (exp (+ N (+ 1 (* N N))))))) 2.608 * * * * [progress]: [ 10 / 44 ] simplifiying candidate # 2.608 * [simplify]: Simplifying (* (exp N) (exp (+ 1 (* N N)))) 2.608 * * [simplify]: iters left: 6 (7 enodes) 2.611 * * [simplify]: iters left: 5 (30 enodes) 2.616 * * [simplify]: iters left: 4 (49 enodes) 2.631 * * [simplify]: iters left: 3 (76 enodes) 2.650 * * [simplify]: iters left: 2 (109 enodes) 2.671 * * [simplify]: iters left: 1 (199 enodes) 2.728 * * [simplify]: Extracting #0: cost 1 inf + 0 2.728 * * [simplify]: Extracting #1: cost 35 inf + 0 2.729 * * [simplify]: Extracting #2: cost 113 inf + 1 2.730 * * [simplify]: Extracting #3: cost 127 inf + 1150 2.732 * * [simplify]: Extracting #4: cost 89 inf + 6525 2.738 * * [simplify]: Extracting #5: cost 31 inf + 26778 2.748 * * [simplify]: Extracting #6: cost 1 inf + 41778 2.758 * * [simplify]: Extracting #7: cost 0 inf + 42390 2.768 * [simplify]: Simplified to (exp (+ (* N N) (+ N 1))) 2.768 * [simplify]: Simplified (2 2 1) to (λ (N) (atan2 1 (log (exp (+ (* N N) (+ N 1)))))) 2.768 * * * * [progress]: [ 11 / 44 ] simplifiying candidate # 2.769 * * * * [progress]: [ 12 / 44 ] simplifiying candidate # 2.769 * * * * [progress]: [ 13 / 44 ] simplifiying candidate # 2.769 * * * * [progress]: [ 14 / 44 ] simplifiying candidate # 2.769 * * * * [progress]: [ 15 / 44 ] simplifiying candidate # 2.769 * * * * [progress]: [ 16 / 44 ] simplifiying candidate # 2.769 * * * * [progress]: [ 17 / 44 ] simplifiying candidate # 2.769 * * * * [progress]: [ 18 / 44 ] simplifiying candidate # 2.769 * * * * [progress]: [ 19 / 44 ] simplifiying candidate # 2.769 * * * * [progress]: [ 20 / 44 ] simplifiying candidate # 2.772 * [simplify]: Simplifying (+ N (+ 1 (* N N))) 2.772 * * [simplify]: iters left: 6 (5 enodes) 2.775 * * [simplify]: iters left: 5 (21 enodes) 2.782 * * [simplify]: iters left: 4 (31 enodes) 2.791 * * [simplify]: iters left: 3 (34 enodes) 2.800 * * [simplify]: iters left: 2 (35 enodes) 2.810 * * [simplify]: iters left: 1 (41 enodes) 2.821 * * [simplify]: Extracting #0: cost 1 inf + 0 2.821 * * [simplify]: Extracting #1: cost 8 inf + 0 2.821 * * [simplify]: Extracting #2: cost 10 inf + 2 2.822 * * [simplify]: Extracting #3: cost 1 inf + 657 2.822 * * [simplify]: Extracting #4: cost 0 inf + 738 2.823 * [simplify]: Simplified to (+ (+ 1 (* N N)) N) 2.823 * [simplify]: Simplified (2 2 2) to (λ (N) (atan2 1 (* 1 (+ (+ 1 (* N N)) N)))) 2.823 * * * * [progress]: [ 21 / 44 ] simplifiying candidate # 2.823 * [simplify]: Simplifying (* N N) 2.823 * * [simplify]: iters left: 2 (2 enodes) 2.824 * * [simplify]: iters left: 1 (6 enodes) 2.826 * * [simplify]: Extracting #0: cost 1 inf + 0 2.826 * * [simplify]: Extracting #1: cost 3 inf + 0 2.826 * * [simplify]: Extracting #2: cost 2 inf + 1 2.826 * * [simplify]: Extracting #3: cost 0 inf + 83 2.826 * [simplify]: Simplified to (* N N) 2.826 * [simplify]: Simplified (2 2 2) to (λ (N) (atan2 1 (+ (+ N 1) (* N N)))) 2.826 * * * * [progress]: [ 22 / 44 ] simplifiying candidate #real (real->posit16 (+ N (+ 1 (* N N)))))))> 2.826 * * * * [progress]: [ 23 / 44 ] simplifiying candidate # 2.826 * * * * [progress]: [ 24 / 44 ] simplifiying candidate # 2.827 * [simplify]: Simplifying (* (exp 1) (exp (* N N))) 2.827 * * [simplify]: iters left: 5 (6 enodes) 2.830 * * [simplify]: iters left: 4 (24 enodes) 2.838 * * [simplify]: iters left: 3 (35 enodes) 2.848 * * [simplify]: iters left: 2 (50 enodes) 2.865 * * [simplify]: iters left: 1 (85 enodes) 2.893 * * [simplify]: Extracting #0: cost 1 inf + 0 2.893 * * [simplify]: Extracting #1: cost 14 inf + 0 2.893 * * [simplify]: Extracting #2: cost 46 inf + 1 2.894 * * [simplify]: Extracting #3: cost 53 inf + 490 2.894 * * [simplify]: Extracting #4: cost 46 inf + 881 2.894 * * [simplify]: Extracting #5: cost 34 inf + 2147 2.895 * * [simplify]: Extracting #6: cost 8 inf + 11191 2.897 * * [simplify]: Extracting #7: cost 0 inf + 15890 2.898 * [simplify]: Simplified to (* (exp (* N N)) E) 2.898 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (+ N (log (* (exp (* N N)) E))))) 2.899 * * * * [progress]: [ 25 / 44 ] simplifiying candidate # 2.899 * * * * [progress]: [ 26 / 44 ] simplifiying candidate # 2.899 * * * * [progress]: [ 27 / 44 ] simplifiying candidate # 2.899 * * * * [progress]: [ 28 / 44 ] simplifiying candidate # 2.899 * * * * [progress]: [ 29 / 44 ] simplifiying candidate # 2.899 * * * * [progress]: [ 30 / 44 ] simplifiying candidate # 2.899 * * * * [progress]: [ 31 / 44 ] simplifiying candidate # 2.899 * * * * [progress]: [ 32 / 44 ] simplifiying candidate # 2.899 * * * * [progress]: [ 33 / 44 ] simplifiying candidate # 2.899 * * * * [progress]: [ 34 / 44 ] simplifiying candidate #real (real->posit16 (+ 1 (* N N)))))))> 2.899 * * * * [progress]: [ 35 / 44 ] simplifiying candidate # 2.899 * * * * [progress]: [ 36 / 44 ] simplifiying candidate # 2.899 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 2.899 * * [simplify]: iters left: 6 (7 enodes) 2.902 * * [simplify]: iters left: 5 (31 enodes) 2.908 * * [simplify]: iters left: 4 (42 enodes) 2.914 * * [simplify]: iters left: 3 (48 enodes) 2.921 * * [simplify]: iters left: 2 (54 enodes) 2.934 * * [simplify]: Extracting #0: cost 1 inf + 0 2.934 * * [simplify]: Extracting #1: cost 4 inf + 0 2.934 * * [simplify]: Extracting #2: cost 9 inf + 1 2.935 * * [simplify]: Extracting #3: cost 5 inf + 1016 2.935 * * [simplify]: Extracting #4: cost 0 inf + 1263 2.936 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1))) 2.936 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1)))) 2.936 * * * * [progress]: [ 37 / 44 ] simplifiying candidate # 2.936 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 2.936 * * [simplify]: iters left: 6 (7 enodes) 2.941 * * [simplify]: iters left: 5 (31 enodes) 2.950 * * [simplify]: iters left: 4 (42 enodes) 2.959 * * [simplify]: iters left: 3 (48 enodes) 2.966 * * [simplify]: iters left: 2 (54 enodes) 2.973 * * [simplify]: Extracting #0: cost 1 inf + 0 2.973 * * [simplify]: Extracting #1: cost 4 inf + 0 2.973 * * [simplify]: Extracting #2: cost 9 inf + 1 2.973 * * [simplify]: Extracting #3: cost 5 inf + 1016 2.973 * * [simplify]: Extracting #4: cost 0 inf + 1263 2.974 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1))) 2.974 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1)))) 2.974 * * * * [progress]: [ 38 / 44 ] simplifiying candidate # 2.974 * [simplify]: Simplifying (atan2 1 (+ N (+ (pow N 2) 1))) 2.974 * * [simplify]: iters left: 6 (7 enodes) 2.976 * * [simplify]: iters left: 5 (31 enodes) 2.982 * * [simplify]: iters left: 4 (42 enodes) 2.988 * * [simplify]: iters left: 3 (48 enodes) 2.999 * * [simplify]: iters left: 2 (54 enodes) 3.013 * * [simplify]: Extracting #0: cost 1 inf + 0 3.013 * * [simplify]: Extracting #1: cost 4 inf + 0 3.013 * * [simplify]: Extracting #2: cost 9 inf + 1 3.013 * * [simplify]: Extracting #3: cost 5 inf + 1016 3.013 * * [simplify]: Extracting #4: cost 0 inf + 1263 3.014 * [simplify]: Simplified to (atan2 1 (+ N (+ (* N N) 1))) 3.014 * [simplify]: Simplified (2) to (λ (N) (atan2 1 (+ N (+ (* N N) 1)))) 3.014 * * * * [progress]: [ 39 / 44 ] simplifiying candidate # 3.014 * [simplify]: Simplifying (+ N (+ (pow N 2) 1)) 3.014 * * [simplify]: iters left: 5 (6 enodes) 3.019 * * [simplify]: iters left: 4 (28 enodes) 3.030 * * [simplify]: iters left: 3 (39 enodes) 3.041 * * [simplify]: iters left: 2 (45 enodes) 3.052 * * [simplify]: iters left: 1 (51 enodes) 3.065 * * [simplify]: Extracting #0: cost 1 inf + 0 3.065 * * [simplify]: Extracting #1: cost 8 inf + 0 3.065 * * [simplify]: Extracting #2: cost 11 inf + 2 3.065 * * [simplify]: Extracting #3: cost 1 inf + 697 3.066 * * [simplify]: Extracting #4: cost 0 inf + 739 3.066 * [simplify]: Simplified to (+ N (+ 1 (* N N))) 3.066 * [simplify]: Simplified (2 2) to (λ (N) (atan2 1 (+ N (+ 1 (* N N))))) 3.066 * * * * [progress]: [ 40 / 44 ] simplifiying candidate # 3.067 * [simplify]: Simplifying (+ N (+ (pow N 2) 1)) 3.067 * * [simplify]: iters left: 5 (6 enodes) 3.071 * * [simplify]: iters left: 4 (28 enodes) 3.079 * * [simplify]: iters left: 3 (39 enodes) 3.091 * * [simplify]: iters left: 2 (45 enodes) 3.100 * * [simplify]: iters left: 1 (51 enodes) 3.106 * * [simplify]: Extracting #0: cost 1 inf + 0 3.106 * * [simplify]: Extracting #1: cost 8 inf + 0 3.106 * * [simplify]: Extracting #2: cost 11 inf + 2 3.107 * * [simplify]: Extracting #3: cost 1 inf + 697 3.107 * * [simplify]: Extracting #4: cost 0 inf + 739 3.107 * [simplify]: Simplified to (+ N (+ 1 (* N N))) 3.107 * [simplify]: Simplified (2 2) to (λ (N) (atan2 1 (+ N (+ 1 (* N N))))) 3.107 * * * * [progress]: [ 41 / 44 ] simplifiying candidate # 3.107 * [simplify]: Simplifying (+ N (+ (pow N 2) 1)) 3.107 * * [simplify]: iters left: 5 (6 enodes) 3.110 * * [simplify]: iters left: 4 (28 enodes) 3.114 * * [simplify]: iters left: 3 (39 enodes) 3.120 * * [simplify]: iters left: 2 (45 enodes) 3.127 * * [simplify]: iters left: 1 (51 enodes) 3.139 * * [simplify]: Extracting #0: cost 1 inf + 0 3.139 * * [simplify]: Extracting #1: cost 8 inf + 0 3.140 * * [simplify]: Extracting #2: cost 11 inf + 2 3.140 * * [simplify]: Extracting #3: cost 1 inf + 697 3.140 * * [simplify]: Extracting #4: cost 0 inf + 739 3.140 * [simplify]: Simplified to (+ N (+ 1 (* N N))) 3.141 * [simplify]: Simplified (2 2) to (λ (N) (atan2 1 (+ N (+ 1 (* N N))))) 3.141 * * * * [progress]: [ 42 / 44 ] simplifiying candidate # 3.141 * [simplify]: Simplifying (+ (pow N 2) 1) 3.141 * * [simplify]: iters left: 3 (5 enodes) 3.143 * * [simplify]: iters left: 2 (22 enodes) 3.146 * * [simplify]: iters left: 1 (24 enodes) 3.151 * * [simplify]: Extracting #0: cost 1 inf + 0 3.151 * * [simplify]: Extracting #1: cost 4 inf + 0 3.151 * * [simplify]: Extracting #2: cost 6 inf + 1 3.151 * * [simplify]: Extracting #3: cost 4 inf + 3 3.151 * * [simplify]: Extracting #4: cost 1 inf + 167 3.151 * * [simplify]: Extracting #5: cost 0 inf + 249 3.152 * [simplify]: Simplified to (+ 1 (* N N)) 3.152 * [simplify]: Simplified (2 2 2) to (λ (N) (atan2 1 (+ N (+ 1 (* N N))))) 3.152 * * * * [progress]: [ 43 / 44 ] simplifiying candidate # 3.152 * [simplify]: Simplifying (+ (pow N 2) 1) 3.152 * * [simplify]: iters left: 3 (5 enodes) 3.154 * * [simplify]: iters left: 2 (22 enodes) 3.158 * * [simplify]: iters left: 1 (24 enodes) 3.161 * * [simplify]: Extracting #0: cost 1 inf + 0 3.161 * * [simplify]: Extracting #1: cost 4 inf + 0 3.161 * * [simplify]: Extracting #2: cost 6 inf + 1 3.161 * * [simplify]: Extracting #3: cost 4 inf + 3 3.161 * * [simplify]: Extracting #4: cost 1 inf + 167 3.161 * * [simplify]: Extracting #5: cost 0 inf + 249 3.161 * [simplify]: Simplified to (+ 1 (* N N)) 3.161 * [simplify]: Simplified (2 2 2) to (λ (N) (atan2 1 (+ N (+ 1 (* N N))))) 3.161 * * * * [progress]: [ 44 / 44 ] simplifiying candidate # 3.162 * [simplify]: Simplifying (+ (pow N 2) 1) 3.162 * * [simplify]: iters left: 3 (5 enodes) 3.164 * * [simplify]: iters left: 2 (22 enodes) 3.168 * * [simplify]: iters left: 1 (24 enodes) 3.171 * * [simplify]: Extracting #0: cost 1 inf + 0 3.171 * * [simplify]: Extracting #1: cost 4 inf + 0 3.171 * * [simplify]: Extracting #2: cost 6 inf + 1 3.171 * * [simplify]: Extracting #3: cost 4 inf + 3 3.171 * * [simplify]: Extracting #4: cost 1 inf + 167 3.172 * * [simplify]: Extracting #5: cost 0 inf + 249 3.172 * [simplify]: Simplified to (+ 1 (* N N)) 3.172 * [simplify]: Simplified (2 2 2) to (λ (N) (atan2 1 (+ N (+ 1 (* N N))))) 3.172 * * * [progress]: adding candidates to table 3.506 * * [progress]: iteration 4 / 4 3.506 * * * [progress]: picking best candidate 3.529 * * * * [pick]: Picked # 3.529 * * * [progress]: localizing error 3.563 * * * [progress]: generating rewritten candidates 3.563 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 3.565 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 3.570 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 3.573 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 3.592 * * * [progress]: generating series expansions 3.592 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 3.592 * [backup-simplify]: Simplify (cbrt (+ 1 (* (+ N 1) N))) into (pow (+ N (+ (pow N 2) 1)) 1/3) 3.592 * [approximate]: Taking taylor expansion of (pow (+ N (+ (pow N 2) 1)) 1/3) in (N) around 0 3.592 * [taylor]: Taking taylor expansion of (pow (+ N (+ (pow N 2) 1)) 1/3) in N 3.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N (+ (pow N 2) 1))))) in N 3.592 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N (+ (pow N 2) 1)))) in N 3.592 * [taylor]: Taking taylor expansion of 1/3 in N 3.592 * [backup-simplify]: Simplify 1/3 into 1/3 3.592 * [taylor]: Taking taylor expansion of (log (+ N (+ (pow N 2) 1))) in N 3.592 * [taylor]: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N 3.592 * [taylor]: Taking taylor expansion of N in N 3.592 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify 1 into 1 3.592 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N 3.592 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.592 * [taylor]: Taking taylor expansion of N in N 3.592 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify 1 into 1 3.592 * [taylor]: Taking taylor expansion of 1 in N 3.592 * [backup-simplify]: Simplify 1 into 1 3.593 * [backup-simplify]: Simplify (+ 0 1) into 1 3.593 * [backup-simplify]: Simplify (+ 0 1) into 1 3.593 * [backup-simplify]: Simplify (log 1) into 0 3.594 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.594 * [backup-simplify]: Simplify (+ 0 0) into 0 3.594 * [backup-simplify]: Simplify (+ 1 0) into 1 3.595 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.595 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 3.595 * [backup-simplify]: Simplify (exp 0) into 1 3.595 * [taylor]: Taking taylor expansion of (pow (+ N (+ (pow N 2) 1)) 1/3) in N 3.596 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N (+ (pow N 2) 1))))) in N 3.596 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N (+ (pow N 2) 1)))) in N 3.596 * [taylor]: Taking taylor expansion of 1/3 in N 3.596 * [backup-simplify]: Simplify 1/3 into 1/3 3.596 * [taylor]: Taking taylor expansion of (log (+ N (+ (pow N 2) 1))) in N 3.596 * [taylor]: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N 3.596 * [taylor]: Taking taylor expansion of N in N 3.596 * [backup-simplify]: Simplify 0 into 0 3.596 * [backup-simplify]: Simplify 1 into 1 3.596 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N 3.596 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.596 * [taylor]: Taking taylor expansion of N in N 3.596 * [backup-simplify]: Simplify 0 into 0 3.596 * [backup-simplify]: Simplify 1 into 1 3.596 * [taylor]: Taking taylor expansion of 1 in N 3.596 * [backup-simplify]: Simplify 1 into 1 3.596 * [backup-simplify]: Simplify (+ 0 1) into 1 3.596 * [backup-simplify]: Simplify (+ 0 1) into 1 3.597 * [backup-simplify]: Simplify (log 1) into 0 3.597 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.597 * [backup-simplify]: Simplify (+ 0 0) into 0 3.597 * [backup-simplify]: Simplify (+ 1 0) into 1 3.598 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.599 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 3.599 * [backup-simplify]: Simplify (exp 0) into 1 3.599 * [backup-simplify]: Simplify 1 into 1 3.599 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 3.600 * [backup-simplify]: Simplify 1/3 into 1/3 3.600 * [backup-simplify]: Simplify (* 1 1) into 1 3.600 * [backup-simplify]: Simplify (+ 1 0) into 1 3.600 * [backup-simplify]: Simplify (+ 0 1) into 1 3.602 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 3.602 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6 3.603 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9 3.603 * [backup-simplify]: Simplify 2/9 into 2/9 3.604 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) 3.604 * [backup-simplify]: Simplify (cbrt (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (pow (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 1/3) 3.604 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 1/3) in (N) around 0 3.604 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 1/3) in N 3.604 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) in N 3.604 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 3.604 * [taylor]: Taking taylor expansion of 1/3 in N 3.604 * [backup-simplify]: Simplify 1/3 into 1/3 3.604 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 3.604 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in N 3.604 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.604 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.604 * [taylor]: Taking taylor expansion of N in N 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [backup-simplify]: Simplify 1 into 1 3.604 * [backup-simplify]: Simplify (* 1 1) into 1 3.604 * [backup-simplify]: Simplify (/ 1 1) into 1 3.605 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.605 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.605 * [taylor]: Taking taylor expansion of N in N 3.605 * [backup-simplify]: Simplify 0 into 0 3.605 * [backup-simplify]: Simplify 1 into 1 3.605 * [backup-simplify]: Simplify (/ 1 1) into 1 3.605 * [taylor]: Taking taylor expansion of 1 in N 3.605 * [backup-simplify]: Simplify 1 into 1 3.605 * [backup-simplify]: Simplify (+ 1 0) into 1 3.605 * [backup-simplify]: Simplify (log 1) into 0 3.606 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.606 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.606 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.606 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 1/3) in N 3.606 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) in N 3.606 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 3.606 * [taylor]: Taking taylor expansion of 1/3 in N 3.606 * [backup-simplify]: Simplify 1/3 into 1/3 3.606 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 3.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in N 3.606 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.606 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.606 * [taylor]: Taking taylor expansion of N in N 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify 1 into 1 3.606 * [backup-simplify]: Simplify (* 1 1) into 1 3.606 * [backup-simplify]: Simplify (/ 1 1) into 1 3.606 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.606 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.606 * [taylor]: Taking taylor expansion of N in N 3.606 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify 1 into 1 3.607 * [backup-simplify]: Simplify (/ 1 1) into 1 3.607 * [taylor]: Taking taylor expansion of 1 in N 3.607 * [backup-simplify]: Simplify 1 into 1 3.607 * [backup-simplify]: Simplify (+ 1 0) into 1 3.607 * [backup-simplify]: Simplify (log 1) into 0 3.608 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.608 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.608 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.608 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 3.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.609 * [backup-simplify]: Simplify (+ 1 0) into 1 3.609 * [backup-simplify]: Simplify (+ 0 1) into 1 3.610 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.610 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.610 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 3.611 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 3.611 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 3.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.613 * [backup-simplify]: Simplify (+ 0 1) into 1 3.613 * [backup-simplify]: Simplify (+ 0 1) into 1 3.615 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 3.615 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.616 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6 3.616 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 3.617 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 3.617 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 3.617 * [backup-simplify]: Simplify (cbrt (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (pow (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 1/3) 3.617 * [approximate]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 1/3) in (N) around 0 3.617 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 1/3) in N 3.617 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) in N 3.617 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 3.617 * [taylor]: Taking taylor expansion of 1/3 in N 3.617 * [backup-simplify]: Simplify 1/3 into 1/3 3.617 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 3.617 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in N 3.617 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 3.617 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.617 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.617 * [taylor]: Taking taylor expansion of N in N 3.617 * [backup-simplify]: Simplify 0 into 0 3.617 * [backup-simplify]: Simplify 1 into 1 3.618 * [backup-simplify]: Simplify (* 1 1) into 1 3.618 * [backup-simplify]: Simplify (/ 1 1) into 1 3.618 * [taylor]: Taking taylor expansion of 1 in N 3.618 * [backup-simplify]: Simplify 1 into 1 3.618 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.618 * [taylor]: Taking taylor expansion of N in N 3.618 * [backup-simplify]: Simplify 0 into 0 3.618 * [backup-simplify]: Simplify 1 into 1 3.618 * [backup-simplify]: Simplify (/ 1 1) into 1 3.618 * [backup-simplify]: Simplify (+ 1 0) into 1 3.619 * [backup-simplify]: Simplify (+ 1 0) into 1 3.619 * [backup-simplify]: Simplify (log 1) into 0 3.619 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.619 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.619 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.619 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 1/3) in N 3.619 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) in N 3.619 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 3.619 * [taylor]: Taking taylor expansion of 1/3 in N 3.619 * [backup-simplify]: Simplify 1/3 into 1/3 3.619 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 3.619 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in N 3.619 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 3.620 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.620 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.620 * [taylor]: Taking taylor expansion of N in N 3.620 * [backup-simplify]: Simplify 0 into 0 3.620 * [backup-simplify]: Simplify 1 into 1 3.620 * [backup-simplify]: Simplify (* 1 1) into 1 3.620 * [backup-simplify]: Simplify (/ 1 1) into 1 3.620 * [taylor]: Taking taylor expansion of 1 in N 3.620 * [backup-simplify]: Simplify 1 into 1 3.620 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.620 * [taylor]: Taking taylor expansion of N in N 3.620 * [backup-simplify]: Simplify 0 into 0 3.620 * [backup-simplify]: Simplify 1 into 1 3.620 * [backup-simplify]: Simplify (/ 1 1) into 1 3.621 * [backup-simplify]: Simplify (+ 1 0) into 1 3.621 * [backup-simplify]: Simplify (+ 1 0) into 1 3.621 * [backup-simplify]: Simplify (log 1) into 0 3.622 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.622 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.622 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.622 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 3.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.623 * [backup-simplify]: Simplify (+ 0 0) into 0 3.623 * [backup-simplify]: Simplify (- 1) into -1 3.623 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.624 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 3.624 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.625 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3) 3.625 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 3.625 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 3.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.627 * [backup-simplify]: Simplify (+ 0 1) into 1 3.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.627 * [backup-simplify]: Simplify (- 0) into 0 3.628 * [backup-simplify]: Simplify (+ 1 0) into 1 3.629 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 3.629 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.630 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6 3.631 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 3.631 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 3.631 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 3.631 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 3.632 * [backup-simplify]: Simplify (cbrt (+ 1 (* (+ N 1) N))) into (pow (+ N (+ (pow N 2) 1)) 1/3) 3.632 * [approximate]: Taking taylor expansion of (pow (+ N (+ (pow N 2) 1)) 1/3) in (N) around 0 3.632 * [taylor]: Taking taylor expansion of (pow (+ N (+ (pow N 2) 1)) 1/3) in N 3.632 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N (+ (pow N 2) 1))))) in N 3.632 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N (+ (pow N 2) 1)))) in N 3.632 * [taylor]: Taking taylor expansion of 1/3 in N 3.632 * [backup-simplify]: Simplify 1/3 into 1/3 3.632 * [taylor]: Taking taylor expansion of (log (+ N (+ (pow N 2) 1))) in N 3.632 * [taylor]: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N 3.632 * [taylor]: Taking taylor expansion of N in N 3.632 * [backup-simplify]: Simplify 0 into 0 3.632 * [backup-simplify]: Simplify 1 into 1 3.632 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N 3.632 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.632 * [taylor]: Taking taylor expansion of N in N 3.632 * [backup-simplify]: Simplify 0 into 0 3.632 * [backup-simplify]: Simplify 1 into 1 3.632 * [taylor]: Taking taylor expansion of 1 in N 3.632 * [backup-simplify]: Simplify 1 into 1 3.632 * [backup-simplify]: Simplify (+ 0 1) into 1 3.632 * [backup-simplify]: Simplify (+ 0 1) into 1 3.633 * [backup-simplify]: Simplify (log 1) into 0 3.633 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.633 * [backup-simplify]: Simplify (+ 0 0) into 0 3.634 * [backup-simplify]: Simplify (+ 1 0) into 1 3.634 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.635 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 3.635 * [backup-simplify]: Simplify (exp 0) into 1 3.635 * [taylor]: Taking taylor expansion of (pow (+ N (+ (pow N 2) 1)) 1/3) in N 3.635 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N (+ (pow N 2) 1))))) in N 3.635 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N (+ (pow N 2) 1)))) in N 3.635 * [taylor]: Taking taylor expansion of 1/3 in N 3.635 * [backup-simplify]: Simplify 1/3 into 1/3 3.635 * [taylor]: Taking taylor expansion of (log (+ N (+ (pow N 2) 1))) in N 3.635 * [taylor]: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N 3.635 * [taylor]: Taking taylor expansion of N in N 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 1 into 1 3.635 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N 3.635 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.635 * [taylor]: Taking taylor expansion of N in N 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 1 into 1 3.635 * [taylor]: Taking taylor expansion of 1 in N 3.635 * [backup-simplify]: Simplify 1 into 1 3.635 * [backup-simplify]: Simplify (+ 0 1) into 1 3.636 * [backup-simplify]: Simplify (+ 0 1) into 1 3.636 * [backup-simplify]: Simplify (log 1) into 0 3.636 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.636 * [backup-simplify]: Simplify (+ 0 0) into 0 3.637 * [backup-simplify]: Simplify (+ 1 0) into 1 3.637 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.638 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 3.638 * [backup-simplify]: Simplify (exp 0) into 1 3.638 * [backup-simplify]: Simplify 1 into 1 3.638 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 3.638 * [backup-simplify]: Simplify 1/3 into 1/3 3.639 * [backup-simplify]: Simplify (* 1 1) into 1 3.639 * [backup-simplify]: Simplify (+ 1 0) into 1 3.639 * [backup-simplify]: Simplify (+ 0 1) into 1 3.641 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 3.641 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6 3.642 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9 3.642 * [backup-simplify]: Simplify 2/9 into 2/9 3.642 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) 3.642 * [backup-simplify]: Simplify (cbrt (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (pow (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 1/3) 3.643 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 1/3) in (N) around 0 3.643 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 1/3) in N 3.643 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) in N 3.643 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 3.643 * [taylor]: Taking taylor expansion of 1/3 in N 3.643 * [backup-simplify]: Simplify 1/3 into 1/3 3.643 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 3.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in N 3.643 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.643 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.643 * [taylor]: Taking taylor expansion of N in N 3.643 * [backup-simplify]: Simplify 0 into 0 3.643 * [backup-simplify]: Simplify 1 into 1 3.643 * [backup-simplify]: Simplify (* 1 1) into 1 3.643 * [backup-simplify]: Simplify (/ 1 1) into 1 3.643 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.643 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.643 * [taylor]: Taking taylor expansion of N in N 3.643 * [backup-simplify]: Simplify 0 into 0 3.643 * [backup-simplify]: Simplify 1 into 1 3.643 * [backup-simplify]: Simplify (/ 1 1) into 1 3.644 * [taylor]: Taking taylor expansion of 1 in N 3.644 * [backup-simplify]: Simplify 1 into 1 3.644 * [backup-simplify]: Simplify (+ 1 0) into 1 3.644 * [backup-simplify]: Simplify (log 1) into 0 3.644 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.644 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.644 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.644 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 1/3) in N 3.644 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) in N 3.644 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 3.645 * [taylor]: Taking taylor expansion of 1/3 in N 3.645 * [backup-simplify]: Simplify 1/3 into 1/3 3.645 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 3.645 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in N 3.645 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.645 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.645 * [taylor]: Taking taylor expansion of N in N 3.645 * [backup-simplify]: Simplify 0 into 0 3.645 * [backup-simplify]: Simplify 1 into 1 3.645 * [backup-simplify]: Simplify (* 1 1) into 1 3.645 * [backup-simplify]: Simplify (/ 1 1) into 1 3.645 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.645 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.645 * [taylor]: Taking taylor expansion of N in N 3.645 * [backup-simplify]: Simplify 0 into 0 3.645 * [backup-simplify]: Simplify 1 into 1 3.645 * [backup-simplify]: Simplify (/ 1 1) into 1 3.645 * [taylor]: Taking taylor expansion of 1 in N 3.645 * [backup-simplify]: Simplify 1 into 1 3.646 * [backup-simplify]: Simplify (+ 1 0) into 1 3.646 * [backup-simplify]: Simplify (log 1) into 0 3.646 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.646 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.646 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.646 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 3.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.648 * [backup-simplify]: Simplify (+ 1 0) into 1 3.650 * [backup-simplify]: Simplify (+ 0 1) into 1 3.651 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.651 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.651 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 3.652 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 3.652 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 3.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.654 * [backup-simplify]: Simplify (+ 0 1) into 1 3.654 * [backup-simplify]: Simplify (+ 0 1) into 1 3.656 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 3.657 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.657 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6 3.658 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 3.658 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 3.658 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 3.659 * [backup-simplify]: Simplify (cbrt (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (pow (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 1/3) 3.659 * [approximate]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 1/3) in (N) around 0 3.659 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 1/3) in N 3.659 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) in N 3.659 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 3.659 * [taylor]: Taking taylor expansion of 1/3 in N 3.659 * [backup-simplify]: Simplify 1/3 into 1/3 3.659 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 3.659 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in N 3.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 3.659 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.659 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.659 * [taylor]: Taking taylor expansion of N in N 3.659 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify 1 into 1 3.659 * [backup-simplify]: Simplify (* 1 1) into 1 3.659 * [backup-simplify]: Simplify (/ 1 1) into 1 3.659 * [taylor]: Taking taylor expansion of 1 in N 3.659 * [backup-simplify]: Simplify 1 into 1 3.659 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.659 * [taylor]: Taking taylor expansion of N in N 3.659 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify 1 into 1 3.660 * [backup-simplify]: Simplify (/ 1 1) into 1 3.660 * [backup-simplify]: Simplify (+ 1 0) into 1 3.660 * [backup-simplify]: Simplify (+ 1 0) into 1 3.661 * [backup-simplify]: Simplify (log 1) into 0 3.661 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.661 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.661 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.661 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 1/3) in N 3.661 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) in N 3.661 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 3.661 * [taylor]: Taking taylor expansion of 1/3 in N 3.661 * [backup-simplify]: Simplify 1/3 into 1/3 3.661 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 3.661 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in N 3.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 3.661 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.661 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.661 * [taylor]: Taking taylor expansion of N in N 3.662 * [backup-simplify]: Simplify 0 into 0 3.662 * [backup-simplify]: Simplify 1 into 1 3.662 * [backup-simplify]: Simplify (* 1 1) into 1 3.662 * [backup-simplify]: Simplify (/ 1 1) into 1 3.662 * [taylor]: Taking taylor expansion of 1 in N 3.662 * [backup-simplify]: Simplify 1 into 1 3.662 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.662 * [taylor]: Taking taylor expansion of N in N 3.662 * [backup-simplify]: Simplify 0 into 0 3.662 * [backup-simplify]: Simplify 1 into 1 3.663 * [backup-simplify]: Simplify (/ 1 1) into 1 3.663 * [backup-simplify]: Simplify (+ 1 0) into 1 3.664 * [backup-simplify]: Simplify (+ 1 0) into 1 3.664 * [backup-simplify]: Simplify (log 1) into 0 3.664 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.665 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.665 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.665 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 3.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.667 * [backup-simplify]: Simplify (+ 0 0) into 0 3.667 * [backup-simplify]: Simplify (- 1) into -1 3.667 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.669 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 3.669 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.670 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3) 3.671 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 3.671 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 3.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.674 * [backup-simplify]: Simplify (+ 0 1) into 1 3.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.675 * [backup-simplify]: Simplify (- 0) into 0 3.676 * [backup-simplify]: Simplify (+ 1 0) into 1 3.678 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 3.679 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.679 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6 3.681 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 3.681 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 3.682 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 3.682 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 3.682 * [backup-simplify]: Simplify (cbrt (+ 1 (* (+ N 1) N))) into (pow (+ N (+ (pow N 2) 1)) 1/3) 3.682 * [approximate]: Taking taylor expansion of (pow (+ N (+ (pow N 2) 1)) 1/3) in (N) around 0 3.682 * [taylor]: Taking taylor expansion of (pow (+ N (+ (pow N 2) 1)) 1/3) in N 3.682 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N (+ (pow N 2) 1))))) in N 3.682 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N (+ (pow N 2) 1)))) in N 3.682 * [taylor]: Taking taylor expansion of 1/3 in N 3.682 * [backup-simplify]: Simplify 1/3 into 1/3 3.682 * [taylor]: Taking taylor expansion of (log (+ N (+ (pow N 2) 1))) in N 3.683 * [taylor]: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N 3.683 * [taylor]: Taking taylor expansion of N in N 3.683 * [backup-simplify]: Simplify 0 into 0 3.683 * [backup-simplify]: Simplify 1 into 1 3.683 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N 3.683 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.683 * [taylor]: Taking taylor expansion of N in N 3.683 * [backup-simplify]: Simplify 0 into 0 3.683 * [backup-simplify]: Simplify 1 into 1 3.683 * [taylor]: Taking taylor expansion of 1 in N 3.683 * [backup-simplify]: Simplify 1 into 1 3.683 * [backup-simplify]: Simplify (+ 0 1) into 1 3.684 * [backup-simplify]: Simplify (+ 0 1) into 1 3.684 * [backup-simplify]: Simplify (log 1) into 0 3.684 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.685 * [backup-simplify]: Simplify (+ 0 0) into 0 3.685 * [backup-simplify]: Simplify (+ 1 0) into 1 3.686 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.686 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 3.686 * [backup-simplify]: Simplify (exp 0) into 1 3.686 * [taylor]: Taking taylor expansion of (pow (+ N (+ (pow N 2) 1)) 1/3) in N 3.686 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N (+ (pow N 2) 1))))) in N 3.686 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N (+ (pow N 2) 1)))) in N 3.686 * [taylor]: Taking taylor expansion of 1/3 in N 3.686 * [backup-simplify]: Simplify 1/3 into 1/3 3.686 * [taylor]: Taking taylor expansion of (log (+ N (+ (pow N 2) 1))) in N 3.686 * [taylor]: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N 3.686 * [taylor]: Taking taylor expansion of N in N 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify 1 into 1 3.686 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N 3.686 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.686 * [taylor]: Taking taylor expansion of N in N 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify 1 into 1 3.686 * [taylor]: Taking taylor expansion of 1 in N 3.686 * [backup-simplify]: Simplify 1 into 1 3.687 * [backup-simplify]: Simplify (+ 0 1) into 1 3.687 * [backup-simplify]: Simplify (+ 0 1) into 1 3.687 * [backup-simplify]: Simplify (log 1) into 0 3.687 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.688 * [backup-simplify]: Simplify (+ 0 0) into 0 3.688 * [backup-simplify]: Simplify (+ 1 0) into 1 3.688 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.689 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 3.689 * [backup-simplify]: Simplify (exp 0) into 1 3.689 * [backup-simplify]: Simplify 1 into 1 3.690 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 3.690 * [backup-simplify]: Simplify 1/3 into 1/3 3.690 * [backup-simplify]: Simplify (* 1 1) into 1 3.690 * [backup-simplify]: Simplify (+ 1 0) into 1 3.690 * [backup-simplify]: Simplify (+ 0 1) into 1 3.692 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 3.692 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 0))) into 1/6 3.693 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into 2/9 3.693 * [backup-simplify]: Simplify 2/9 into 2/9 3.694 * [backup-simplify]: Simplify (+ (* 2/9 (pow N 2)) (+ (* 1/3 N) 1)) into (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) 3.694 * [backup-simplify]: Simplify (cbrt (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (pow (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 1/3) 3.694 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 1/3) in (N) around 0 3.694 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 1/3) in N 3.694 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) in N 3.694 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 3.694 * [taylor]: Taking taylor expansion of 1/3 in N 3.694 * [backup-simplify]: Simplify 1/3 into 1/3 3.694 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 3.694 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in N 3.694 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.694 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.694 * [taylor]: Taking taylor expansion of N in N 3.694 * [backup-simplify]: Simplify 0 into 0 3.694 * [backup-simplify]: Simplify 1 into 1 3.694 * [backup-simplify]: Simplify (* 1 1) into 1 3.694 * [backup-simplify]: Simplify (/ 1 1) into 1 3.694 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.695 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.695 * [taylor]: Taking taylor expansion of N in N 3.695 * [backup-simplify]: Simplify 0 into 0 3.695 * [backup-simplify]: Simplify 1 into 1 3.695 * [backup-simplify]: Simplify (/ 1 1) into 1 3.695 * [taylor]: Taking taylor expansion of 1 in N 3.695 * [backup-simplify]: Simplify 1 into 1 3.695 * [backup-simplify]: Simplify (+ 1 0) into 1 3.695 * [backup-simplify]: Simplify (log 1) into 0 3.696 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.696 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.696 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.696 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 1/3) in N 3.696 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))))) in N 3.696 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)))) in N 3.696 * [taylor]: Taking taylor expansion of 1/3 in N 3.696 * [backup-simplify]: Simplify 1/3 into 1/3 3.696 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1))) in N 3.696 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in N 3.696 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.696 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.696 * [taylor]: Taking taylor expansion of N in N 3.696 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify 1 into 1 3.696 * [backup-simplify]: Simplify (* 1 1) into 1 3.696 * [backup-simplify]: Simplify (/ 1 1) into 1 3.696 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.696 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.696 * [taylor]: Taking taylor expansion of N in N 3.696 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify 1 into 1 3.697 * [backup-simplify]: Simplify (/ 1 1) into 1 3.697 * [taylor]: Taking taylor expansion of 1 in N 3.697 * [backup-simplify]: Simplify 1 into 1 3.697 * [backup-simplify]: Simplify (+ 1 0) into 1 3.697 * [backup-simplify]: Simplify (log 1) into 0 3.698 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.698 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.698 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.698 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 3.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.699 * [backup-simplify]: Simplify (+ 1 0) into 1 3.699 * [backup-simplify]: Simplify (+ 0 1) into 1 3.700 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.700 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.700 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (- (* 2 (log N))))) into 1/3 3.701 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 3.701 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* 1/3 (pow (/ 1 (pow N 2)) 1/3)) 3.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.703 * [backup-simplify]: Simplify (+ 0 1) into 1 3.703 * [backup-simplify]: Simplify (+ 0 1) into 1 3.704 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 3.705 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.705 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 1) (* 0 (- (* 2 (log N)))))) into 1/6 3.706 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 3.706 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 3.707 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (pow (/ 1 N) 2)) 1/3)) (/ 1 N)) (pow (/ 1 N) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 3.707 * [backup-simplify]: Simplify (cbrt (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (pow (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 1/3) 3.707 * [approximate]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 1/3) in (N) around 0 3.707 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 1/3) in N 3.707 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) in N 3.707 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 3.707 * [taylor]: Taking taylor expansion of 1/3 in N 3.707 * [backup-simplify]: Simplify 1/3 into 1/3 3.707 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 3.707 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in N 3.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 3.707 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.707 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.707 * [taylor]: Taking taylor expansion of N in N 3.707 * [backup-simplify]: Simplify 0 into 0 3.707 * [backup-simplify]: Simplify 1 into 1 3.707 * [backup-simplify]: Simplify (* 1 1) into 1 3.707 * [backup-simplify]: Simplify (/ 1 1) into 1 3.707 * [taylor]: Taking taylor expansion of 1 in N 3.707 * [backup-simplify]: Simplify 1 into 1 3.707 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.707 * [taylor]: Taking taylor expansion of N in N 3.707 * [backup-simplify]: Simplify 0 into 0 3.707 * [backup-simplify]: Simplify 1 into 1 3.708 * [backup-simplify]: Simplify (/ 1 1) into 1 3.708 * [backup-simplify]: Simplify (+ 1 0) into 1 3.708 * [backup-simplify]: Simplify (+ 1 0) into 1 3.708 * [backup-simplify]: Simplify (log 1) into 0 3.709 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.709 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.709 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.709 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 1/3) in N 3.709 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))))) in N 3.709 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)))) in N 3.709 * [taylor]: Taking taylor expansion of 1/3 in N 3.709 * [backup-simplify]: Simplify 1/3 into 1/3 3.709 * [taylor]: Taking taylor expansion of (log (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 3.709 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in N 3.709 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 3.709 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.709 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.709 * [taylor]: Taking taylor expansion of N in N 3.709 * [backup-simplify]: Simplify 0 into 0 3.709 * [backup-simplify]: Simplify 1 into 1 3.709 * [backup-simplify]: Simplify (* 1 1) into 1 3.710 * [backup-simplify]: Simplify (/ 1 1) into 1 3.710 * [taylor]: Taking taylor expansion of 1 in N 3.710 * [backup-simplify]: Simplify 1 into 1 3.710 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.710 * [taylor]: Taking taylor expansion of N in N 3.710 * [backup-simplify]: Simplify 0 into 0 3.710 * [backup-simplify]: Simplify 1 into 1 3.710 * [backup-simplify]: Simplify (/ 1 1) into 1 3.710 * [backup-simplify]: Simplify (+ 1 0) into 1 3.710 * [backup-simplify]: Simplify (+ 1 0) into 1 3.711 * [backup-simplify]: Simplify (log 1) into 0 3.711 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.711 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log N)))) into (* -2/3 (log N)) 3.711 * [backup-simplify]: Simplify (exp (* -2/3 (log N))) into (pow N -2/3) 3.711 * [backup-simplify]: Simplify (pow N -2/3) into (pow N -2/3) 3.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.712 * [backup-simplify]: Simplify (+ 0 0) into 0 3.713 * [backup-simplify]: Simplify (- 1) into -1 3.713 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.714 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 3.715 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.715 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 (- (* 2 (log N))))) into (- 1/3) 3.716 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 3.716 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) into (* -1/3 (pow (/ 1 (pow N 2)) 1/3)) 3.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.719 * [backup-simplify]: Simplify (+ 0 1) into 1 3.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.720 * [backup-simplify]: Simplify (- 0) into 0 3.720 * [backup-simplify]: Simplify (+ 1 0) into 1 3.723 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1/2 3.723 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) 0) into (- (* 2 (log N))) 3.724 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (+ (* 0 -1) (* 0 (- (* 2 (log N)))))) into 1/6 3.726 * [backup-simplify]: Simplify (* (exp (* -2/3 (log N))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow 1/6 1) 1)))) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 3.726 * [backup-simplify]: Simplify (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) into (* 2/9 (pow (/ 1 (pow N 2)) 1/3)) 3.727 * [backup-simplify]: Simplify (+ (* (* 2/9 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (pow (/ 1 (pow (/ 1 (- N)) 2)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -2/3))) into (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 3.727 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 3.727 * [backup-simplify]: Simplify (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N)))) into (pow (pow (+ N (+ (pow N 2) 1)) 2) 1/3) 3.728 * [approximate]: Taking taylor expansion of (pow (pow (+ N (+ (pow N 2) 1)) 2) 1/3) in (N) around 0 3.728 * [taylor]: Taking taylor expansion of (pow (pow (+ N (+ (pow N 2) 1)) 2) 1/3) in N 3.728 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N (+ (pow N 2) 1)) 2)))) in N 3.728 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N (+ (pow N 2) 1)) 2))) in N 3.728 * [taylor]: Taking taylor expansion of 1/3 in N 3.728 * [backup-simplify]: Simplify 1/3 into 1/3 3.728 * [taylor]: Taking taylor expansion of (log (pow (+ N (+ (pow N 2) 1)) 2)) in N 3.728 * [taylor]: Taking taylor expansion of (pow (+ N (+ (pow N 2) 1)) 2) in N 3.728 * [taylor]: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N 3.728 * [taylor]: Taking taylor expansion of N in N 3.728 * [backup-simplify]: Simplify 0 into 0 3.728 * [backup-simplify]: Simplify 1 into 1 3.728 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N 3.728 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.728 * [taylor]: Taking taylor expansion of N in N 3.728 * [backup-simplify]: Simplify 0 into 0 3.728 * [backup-simplify]: Simplify 1 into 1 3.728 * [taylor]: Taking taylor expansion of 1 in N 3.728 * [backup-simplify]: Simplify 1 into 1 3.728 * [backup-simplify]: Simplify (+ 0 1) into 1 3.729 * [backup-simplify]: Simplify (+ 0 1) into 1 3.729 * [backup-simplify]: Simplify (* 1 1) into 1 3.730 * [backup-simplify]: Simplify (log 1) into 0 3.730 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.730 * [backup-simplify]: Simplify (+ 0 0) into 0 3.731 * [backup-simplify]: Simplify (+ 1 0) into 1 3.731 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 3.733 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 3.734 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3 3.734 * [backup-simplify]: Simplify (exp 0) into 1 3.734 * [taylor]: Taking taylor expansion of (pow (pow (+ N (+ (pow N 2) 1)) 2) 1/3) in N 3.734 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N (+ (pow N 2) 1)) 2)))) in N 3.734 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N (+ (pow N 2) 1)) 2))) in N 3.734 * [taylor]: Taking taylor expansion of 1/3 in N 3.734 * [backup-simplify]: Simplify 1/3 into 1/3 3.734 * [taylor]: Taking taylor expansion of (log (pow (+ N (+ (pow N 2) 1)) 2)) in N 3.734 * [taylor]: Taking taylor expansion of (pow (+ N (+ (pow N 2) 1)) 2) in N 3.734 * [taylor]: Taking taylor expansion of (+ N (+ (pow N 2) 1)) in N 3.734 * [taylor]: Taking taylor expansion of N in N 3.734 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify 1 into 1 3.734 * [taylor]: Taking taylor expansion of (+ (pow N 2) 1) in N 3.734 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.734 * [taylor]: Taking taylor expansion of N in N 3.734 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify 1 into 1 3.734 * [taylor]: Taking taylor expansion of 1 in N 3.734 * [backup-simplify]: Simplify 1 into 1 3.735 * [backup-simplify]: Simplify (+ 0 1) into 1 3.735 * [backup-simplify]: Simplify (+ 0 1) into 1 3.735 * [backup-simplify]: Simplify (* 1 1) into 1 3.736 * [backup-simplify]: Simplify (log 1) into 0 3.736 * [backup-simplify]: Simplify (* 1/3 0) into 0 3.736 * [backup-simplify]: Simplify (+ 0 0) into 0 3.737 * [backup-simplify]: Simplify (+ 1 0) into 1 3.737 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 3.739 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 3.739 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 0)) into 2/3 3.739 * [backup-simplify]: Simplify (exp 0) into 1 3.740 * [backup-simplify]: Simplify 1 into 1 3.741 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 1) 1)))) into 2/3 3.741 * [backup-simplify]: Simplify 2/3 into 2/3 3.741 * [backup-simplify]: Simplify (* 1 1) into 1 3.742 * [backup-simplify]: Simplify (+ 1 0) into 1 3.742 * [backup-simplify]: Simplify (+ 0 1) into 1 3.743 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 1 1) (* 1 1))) into 3 3.746 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 3) 1)) (pow 1 1)))) 2) into 1 3.747 * [backup-simplify]: Simplify (+ (* 1/3 1) (+ (* 0 2) (* 0 0))) into 1/3 3.749 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow 1/3 1) 1)))) into 5/9 3.749 * [backup-simplify]: Simplify 5/9 into 5/9 3.749 * [backup-simplify]: Simplify (+ (* 5/9 (pow N 2)) (+ (* 2/3 N) 1)) into (+ (* 2/3 N) (+ (* 5/9 (pow N 2)) 1)) 3.749 * [backup-simplify]: Simplify (* (cbrt (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) (cbrt (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) into (pow (pow (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 2) 1/3) 3.749 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 2) 1/3) in (N) around 0 3.749 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 2) 1/3) in N 3.749 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 2)))) in N 3.749 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 2))) in N 3.750 * [taylor]: Taking taylor expansion of 1/3 in N 3.750 * [backup-simplify]: Simplify 1/3 into 1/3 3.750 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 2)) in N 3.750 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 2) in N 3.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in N 3.750 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.750 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.750 * [taylor]: Taking taylor expansion of N in N 3.750 * [backup-simplify]: Simplify 0 into 0 3.750 * [backup-simplify]: Simplify 1 into 1 3.750 * [backup-simplify]: Simplify (* 1 1) into 1 3.751 * [backup-simplify]: Simplify (/ 1 1) into 1 3.751 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.751 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.751 * [taylor]: Taking taylor expansion of N in N 3.751 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify 1 into 1 3.751 * [backup-simplify]: Simplify (/ 1 1) into 1 3.751 * [taylor]: Taking taylor expansion of 1 in N 3.751 * [backup-simplify]: Simplify 1 into 1 3.751 * [backup-simplify]: Simplify (+ 1 0) into 1 3.752 * [backup-simplify]: Simplify (* 1 1) into 1 3.752 * [backup-simplify]: Simplify (log 1) into 0 3.753 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 3.753 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 3.753 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 3.753 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 2) 1/3) in N 3.753 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 2)))) in N 3.753 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 2))) in N 3.753 * [taylor]: Taking taylor expansion of 1/3 in N 3.753 * [backup-simplify]: Simplify 1/3 into 1/3 3.753 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 2)) in N 3.753 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) 2) in N 3.753 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) (+ (/ 1 N) 1)) in N 3.753 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.753 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.753 * [taylor]: Taking taylor expansion of N in N 3.753 * [backup-simplify]: Simplify 0 into 0 3.753 * [backup-simplify]: Simplify 1 into 1 3.754 * [backup-simplify]: Simplify (* 1 1) into 1 3.754 * [backup-simplify]: Simplify (/ 1 1) into 1 3.754 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.754 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.754 * [taylor]: Taking taylor expansion of N in N 3.754 * [backup-simplify]: Simplify 0 into 0 3.754 * [backup-simplify]: Simplify 1 into 1 3.755 * [backup-simplify]: Simplify (/ 1 1) into 1 3.755 * [taylor]: Taking taylor expansion of 1 in N 3.755 * [backup-simplify]: Simplify 1 into 1 3.755 * [backup-simplify]: Simplify (+ 1 0) into 1 3.755 * [backup-simplify]: Simplify (* 1 1) into 1 3.756 * [backup-simplify]: Simplify (log 1) into 0 3.756 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 3.756 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 3.756 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 3.757 * [backup-simplify]: Simplify (pow N -4/3) into (pow N -4/3) 3.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.758 * [backup-simplify]: Simplify (+ 1 0) into 1 3.759 * [backup-simplify]: Simplify (+ 0 1) into 1 3.759 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 1)) into 2 3.761 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow 1 1)))) 1) into 2 3.761 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 3.762 * [backup-simplify]: Simplify (+ (* 1/3 2) (* 0 (- (* 4 (log N))))) into 2/3 3.762 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow (/ 1 (pow N 4)) 1/3)) 3.763 * [backup-simplify]: Simplify (* 2/3 (pow (/ 1 (pow N 4)) 1/3)) into (* 2/3 (pow (/ 1 (pow N 4)) 1/3)) 3.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.766 * [backup-simplify]: Simplify (+ 0 1) into 1 3.766 * [backup-simplify]: Simplify (+ 0 1) into 1 3.767 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 1 1) (* 1 1))) into 3 3.771 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 3) 1)) (pow 1 1)))) 2) into 1 3.772 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 3.773 * [backup-simplify]: Simplify (+ (* 1/3 1) (+ (* 0 2) (* 0 (- (* 4 (log N)))))) into 1/3 3.774 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 5/9 (pow (/ 1 (pow N 4)) 1/3)) 3.774 * [backup-simplify]: Simplify (* 5/9 (pow (/ 1 (pow N 4)) 1/3)) into (* 5/9 (pow (/ 1 (pow N 4)) 1/3)) 3.775 * [backup-simplify]: Simplify (+ (* (* 5/9 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 2/3 (pow (/ 1 (pow (/ 1 N) 4)) 1/3)) (/ 1 N)) (pow (/ 1 N) -4/3))) into (+ (* 2/3 (pow N 1/3)) (+ (pow (/ 1 N) -4/3) (* 5/9 (pow (/ 1 (pow N 2)) 1/3)))) 3.775 * [backup-simplify]: Simplify (* (cbrt (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) (cbrt (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) into (pow (pow (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 2) 1/3) 3.776 * [approximate]: Taking taylor expansion of (pow (pow (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 2) 1/3) in (N) around 0 3.776 * [taylor]: Taking taylor expansion of (pow (pow (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 2) 1/3) in N 3.776 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 2)))) in N 3.776 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 2))) in N 3.776 * [taylor]: Taking taylor expansion of 1/3 in N 3.776 * [backup-simplify]: Simplify 1/3 into 1/3 3.776 * [taylor]: Taking taylor expansion of (log (pow (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 2)) in N 3.776 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 2) in N 3.776 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in N 3.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 3.776 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.776 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.776 * [taylor]: Taking taylor expansion of N in N 3.776 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify 1 into 1 3.776 * [backup-simplify]: Simplify (* 1 1) into 1 3.777 * [backup-simplify]: Simplify (/ 1 1) into 1 3.777 * [taylor]: Taking taylor expansion of 1 in N 3.777 * [backup-simplify]: Simplify 1 into 1 3.777 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.777 * [taylor]: Taking taylor expansion of N in N 3.777 * [backup-simplify]: Simplify 0 into 0 3.777 * [backup-simplify]: Simplify 1 into 1 3.777 * [backup-simplify]: Simplify (/ 1 1) into 1 3.778 * [backup-simplify]: Simplify (+ 1 0) into 1 3.778 * [backup-simplify]: Simplify (+ 1 0) into 1 3.778 * [backup-simplify]: Simplify (* 1 1) into 1 3.779 * [backup-simplify]: Simplify (log 1) into 0 3.779 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 3.779 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 3.780 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 3.780 * [taylor]: Taking taylor expansion of (pow (pow (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 2) 1/3) in N 3.780 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 2)))) in N 3.780 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 2))) in N 3.780 * [taylor]: Taking taylor expansion of 1/3 in N 3.780 * [backup-simplify]: Simplify 1/3 into 1/3 3.780 * [taylor]: Taking taylor expansion of (log (pow (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 2)) in N 3.780 * [taylor]: Taking taylor expansion of (pow (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) 2) in N 3.780 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (/ 1 N)) in N 3.780 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 3.780 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.780 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.780 * [taylor]: Taking taylor expansion of N in N 3.780 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify 1 into 1 3.780 * [backup-simplify]: Simplify (* 1 1) into 1 3.781 * [backup-simplify]: Simplify (/ 1 1) into 1 3.781 * [taylor]: Taking taylor expansion of 1 in N 3.781 * [backup-simplify]: Simplify 1 into 1 3.781 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.781 * [taylor]: Taking taylor expansion of N in N 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 1 into 1 3.781 * [backup-simplify]: Simplify (/ 1 1) into 1 3.782 * [backup-simplify]: Simplify (+ 1 0) into 1 3.782 * [backup-simplify]: Simplify (+ 1 0) into 1 3.783 * [backup-simplify]: Simplify (* 1 1) into 1 3.783 * [backup-simplify]: Simplify (log 1) into 0 3.784 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 3.784 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log N)))) into (* -4/3 (log N)) 3.784 * [backup-simplify]: Simplify (exp (* -4/3 (log N))) into (pow N -4/3) 3.784 * [backup-simplify]: Simplify (pow N -4/3) into (pow N -4/3) 3.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.786 * [backup-simplify]: Simplify (+ 0 0) into 0 3.786 * [backup-simplify]: Simplify (- 1) into -1 3.787 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.787 * [backup-simplify]: Simplify (+ (* 1 -1) (* -1 1)) into -2 3.788 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 3.789 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 3.789 * [backup-simplify]: Simplify (+ (* 1/3 -2) (* 0 (- (* 4 (log N))))) into (- 2/3) 3.790 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 2/3) 1) 1)))) into (* -2/3 (pow (/ 1 (pow N 4)) 1/3)) 3.790 * [backup-simplify]: Simplify (* -2/3 (pow (/ 1 (pow N 4)) 1/3)) into (* -2/3 (pow (/ 1 (pow N 4)) 1/3)) 3.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.791 * [backup-simplify]: Simplify (+ 0 1) into 1 3.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.792 * [backup-simplify]: Simplify (- 0) into 0 3.792 * [backup-simplify]: Simplify (+ 1 0) into 1 3.792 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* -1 -1) (* 1 1))) into 3 3.794 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 3) 1)) (pow 1 1)))) 2) into 1 3.794 * [backup-simplify]: Simplify (+ (* (- 4) (log N)) 0) into (- (* 4 (log N))) 3.795 * [backup-simplify]: Simplify (+ (* 1/3 1) (+ (* 0 -2) (* 0 (- (* 4 (log N)))))) into 1/3 3.796 * [backup-simplify]: Simplify (* (exp (* -4/3 (log N))) (+ (* (/ (pow (- 2/3) 2) 2)) (* (/ (pow 1/3 1) 1)))) into (* 5/9 (pow (/ 1 (pow N 4)) 1/3)) 3.796 * [backup-simplify]: Simplify (* 5/9 (pow (/ 1 (pow N 4)) 1/3)) into (* 5/9 (pow (/ 1 (pow N 4)) 1/3)) 3.796 * [backup-simplify]: Simplify (+ (* (* 5/9 (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* -2/3 (pow (/ 1 (pow (/ 1 (- N)) 4)) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) -4/3))) into (+ (* 2/3 (pow N 1/3)) (+ (* 5/9 (pow (/ 1 (pow N 2)) 1/3)) (pow (/ -1 N) -4/3))) 3.796 * * * [progress]: simplifying candidates 3.796 * * * * [progress]: [ 1 / 103 ] simplifiying candidate # 3.796 * * * * [progress]: [ 2 / 103 ] simplifiying candidate # 3.796 * * * * [progress]: [ 3 / 103 ] simplifiying candidate # 3.796 * * * * [progress]: [ 4 / 103 ] simplifiying candidate # 3.796 * * * * [progress]: [ 5 / 103 ] simplifiying candidate # 3.797 * [simplify]: Simplifying (cbrt (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N))))) 3.797 * * [simplify]: iters left: 6 (8 enodes) 3.799 * * [simplify]: iters left: 5 (29 enodes) 3.804 * * [simplify]: iters left: 4 (38 enodes) 3.810 * * [simplify]: iters left: 3 (40 enodes) 3.815 * * [simplify]: Extracting #0: cost 1 inf + 0 3.815 * * [simplify]: Extracting #1: cost 3 inf + 0 3.815 * * [simplify]: Extracting #2: cost 5 inf + 0 3.815 * * [simplify]: Extracting #3: cost 7 inf + 0 3.815 * * [simplify]: Extracting #4: cost 10 inf + 0 3.815 * * [simplify]: Extracting #5: cost 13 inf + 1 3.815 * * [simplify]: Extracting #6: cost 14 inf + 2 3.815 * * [simplify]: Extracting #7: cost 9 inf + 249 3.816 * * [simplify]: Extracting #8: cost 5 inf + 776 3.816 * * [simplify]: Extracting #9: cost 1 inf + 1784 3.816 * * [simplify]: Extracting #10: cost 0 inf + 2106 3.817 * [simplify]: Simplified to (cbrt (* (cbrt (+ (+ N (* N N)) 1)) (cbrt (+ (+ N (* N N)) 1)))) 3.817 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (* (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N)))) (* (cbrt (* (cbrt (+ (+ N (* N N)) 1)) (cbrt (+ (+ N (* N N)) 1)))) (cbrt (cbrt (+ 1 (* (+ N 1) N)))))))) 3.817 * * * * [progress]: [ 6 / 103 ] simplifiying candidate # 3.817 * [simplify]: Simplifying (cbrt (sqrt (+ 1 (* (+ N 1) N)))) 3.817 * * [simplify]: iters left: 6 (7 enodes) 3.819 * * [simplify]: iters left: 5 (26 enodes) 3.823 * * [simplify]: iters left: 4 (35 enodes) 3.829 * * [simplify]: iters left: 3 (37 enodes) 3.834 * * [simplify]: Extracting #0: cost 1 inf + 0 3.834 * * [simplify]: Extracting #1: cost 3 inf + 0 3.834 * * [simplify]: Extracting #2: cost 5 inf + 0 3.834 * * [simplify]: Extracting #3: cost 8 inf + 0 3.834 * * [simplify]: Extracting #4: cost 11 inf + 1 3.834 * * [simplify]: Extracting #5: cost 8 inf + 249 3.834 * * [simplify]: Extracting #6: cost 3 inf + 736 3.835 * * [simplify]: Extracting #7: cost 1 inf + 1140 3.835 * * [simplify]: Extracting #8: cost 0 inf + 1382 3.835 * [simplify]: Simplified to (cbrt (sqrt (+ (* (+ N 1) N) 1))) 3.835 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (* (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N)))) (* (cbrt (sqrt (+ (* (+ N 1) N) 1))) (cbrt (sqrt (+ 1 (* (+ N 1) N)))))))) 3.835 * * * * [progress]: [ 7 / 103 ] simplifiying candidate # 3.835 * [simplify]: Simplifying (cbrt 1) 3.836 * * [simplify]: iters left: 1 (2 enodes) 3.837 * * [simplify]: Extracting #0: cost 1 inf + 0 3.837 * * [simplify]: Extracting #1: cost 0 inf + 1 3.837 * [simplify]: Simplified to 1 3.837 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (* (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N)))) (* 1 (cbrt (+ 1 (* (+ N 1) N))))))) 3.838 * * * * [progress]: [ 8 / 103 ] simplifiying candidate # 3.838 * [simplify]: Simplifying (cbrt (+ (pow 1 3) (pow (* (+ N 1) N) 3))) 3.838 * * [simplify]: iters left: 6 (9 enodes) 3.841 * * [simplify]: iters left: 5 (43 enodes) 3.851 * * [simplify]: iters left: 4 (100 enodes) 3.889 * * [simplify]: iters left: 3 (237 enodes) 4.004 * * [simplify]: iters left: 2 (459 enodes) 4.262 * * [simplify]: Extracting #0: cost 1 inf + 0 4.262 * * [simplify]: Extracting #1: cost 3 inf + 0 4.262 * * [simplify]: Extracting #2: cost 6 inf + 0 4.262 * * [simplify]: Extracting #3: cost 65 inf + 1 4.263 * * [simplify]: Extracting #4: cost 196 inf + 777 4.266 * * [simplify]: Extracting #5: cost 154 inf + 9357 4.279 * * [simplify]: Extracting #6: cost 47 inf + 47892 4.289 * * [simplify]: Extracting #7: cost 3 inf + 71060 4.302 * * [simplify]: Extracting #8: cost 0 inf + 72438 4.315 * [simplify]: Simplified to (cbrt (+ 1 (* (+ (* N N) N) (* (+ (* N N) N) (+ (* N N) N))))) 4.315 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (* (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N)))) (/ (cbrt (+ 1 (* (+ (* N N) N) (* (+ (* N N) N) (+ (* N N) N))))) (cbrt (+ (* 1 1) (- (* (* (+ N 1) N) (* (+ N 1) N)) (* 1 (* (+ N 1) N))))))))) 4.316 * * * * [progress]: [ 9 / 103 ] simplifiying candidate # 4.316 * [simplify]: Simplifying (cbrt (- (* 1 1) (* (* (+ N 1) N) (* (+ N 1) N)))) 4.316 * * [simplify]: iters left: 6 (8 enodes) 4.321 * * [simplify]: iters left: 5 (35 enodes) 4.330 * * [simplify]: iters left: 4 (93 enodes) 4.350 * * [simplify]: iters left: 3 (168 enodes) 4.402 * * [simplify]: iters left: 2 (291 enodes) 4.544 * * [simplify]: Extracting #0: cost 1 inf + 0 4.544 * * [simplify]: Extracting #1: cost 3 inf + 0 4.544 * * [simplify]: Extracting #2: cost 13 inf + 0 4.544 * * [simplify]: Extracting #3: cost 48 inf + 1 4.545 * * [simplify]: Extracting #4: cost 71 inf + 2631 4.548 * * [simplify]: Extracting #5: cost 20 inf + 10755 4.554 * * [simplify]: Extracting #6: cost 0 inf + 13910 4.562 * [simplify]: Simplified to (cbrt (- 1 (* (+ N (* N N)) (+ N (* N N))))) 4.562 * [simplify]: Simplified (2 2 2 1) to (λ (N) (atan2 1 (* (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N)))) (/ (cbrt (- 1 (* (+ N (* N N)) (+ N (* N N))))) (cbrt (- 1 (* (+ N 1) N))))))) 4.562 * * * * [progress]: [ 10 / 103 ] simplifiying candidate # 4.563 * * * * [progress]: [ 11 / 103 ] simplifiying candidate # 4.563 * * * * [progress]: [ 12 / 103 ] simplifiying candidate # 4.563 * * * * [progress]: [ 13 / 103 ] simplifiying candidate # 4.563 * * * * [progress]: [ 14 / 103 ] simplifiying candidate #real (real->posit16 (cbrt (+ 1 (* (+ N 1) N))))))))> 4.563 * * * * [progress]: [ 15 / 103 ] simplifiying candidate # 4.563 * * * * [progress]: [ 16 / 103 ] simplifiying candidate # 4.563 * * * * [progress]: [ 17 / 103 ] simplifiying candidate # 4.563 * * * * [progress]: [ 18 / 103 ] simplifiying candidate # 4.563 * * * * [progress]: [ 19 / 103 ] simplifiying candidate # 4.563 * [simplify]: Simplifying (cbrt (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N))))) 4.564 * * [simplify]: iters left: 6 (8 enodes) 4.567 * * [simplify]: iters left: 5 (29 enodes) 4.576 * * [simplify]: iters left: 4 (38 enodes) 4.582 * * [simplify]: iters left: 3 (40 enodes) 4.587 * * [simplify]: Extracting #0: cost 1 inf + 0 4.587 * * [simplify]: Extracting #1: cost 3 inf + 0 4.587 * * [simplify]: Extracting #2: cost 5 inf + 0 4.587 * * [simplify]: Extracting #3: cost 7 inf + 0 4.587 * * [simplify]: Extracting #4: cost 10 inf + 0 4.587 * * [simplify]: Extracting #5: cost 13 inf + 1 4.587 * * [simplify]: Extracting #6: cost 14 inf + 2 4.588 * * [simplify]: Extracting #7: cost 9 inf + 249 4.588 * * [simplify]: Extracting #8: cost 5 inf + 776 4.588 * * [simplify]: Extracting #9: cost 1 inf + 1784 4.588 * * [simplify]: Extracting #10: cost 0 inf + 2106 4.589 * [simplify]: Simplified to (cbrt (* (cbrt (+ (+ N (* N N)) 1)) (cbrt (+ (+ N (* N N)) 1)))) 4.589 * [simplify]: Simplified (2 2 1 2 1) to (λ (N) (atan2 1 (* (* (cbrt (+ 1 (* (+ N 1) N))) (* (cbrt (* (cbrt (+ (+ N (* N N)) 1)) (cbrt (+ (+ N (* N N)) 1)))) (cbrt (cbrt (+ 1 (* (+ N 1) N)))))) (cbrt (+ 1 (* (+ N 1) N)))))) 4.589 * * * * [progress]: [ 20 / 103 ] simplifiying candidate # 4.589 * [simplify]: Simplifying (cbrt (sqrt (+ 1 (* (+ N 1) N)))) 4.589 * * [simplify]: iters left: 6 (7 enodes) 4.591 * * [simplify]: iters left: 5 (26 enodes) 4.595 * * [simplify]: iters left: 4 (35 enodes) 4.600 * * [simplify]: iters left: 3 (37 enodes) 4.606 * * [simplify]: Extracting #0: cost 1 inf + 0 4.606 * * [simplify]: Extracting #1: cost 3 inf + 0 4.606 * * [simplify]: Extracting #2: cost 5 inf + 0 4.606 * * [simplify]: Extracting #3: cost 8 inf + 0 4.606 * * [simplify]: Extracting #4: cost 11 inf + 1 4.606 * * [simplify]: Extracting #5: cost 8 inf + 249 4.606 * * [simplify]: Extracting #6: cost 3 inf + 736 4.607 * * [simplify]: Extracting #7: cost 1 inf + 1140 4.607 * * [simplify]: Extracting #8: cost 0 inf + 1382 4.608 * [simplify]: Simplified to (cbrt (sqrt (+ (* (+ N 1) N) 1))) 4.608 * [simplify]: Simplified (2 2 1 2 1) to (λ (N) (atan2 1 (* (* (cbrt (+ 1 (* (+ N 1) N))) (* (cbrt (sqrt (+ (* (+ N 1) N) 1))) (cbrt (sqrt (+ 1 (* (+ N 1) N)))))) (cbrt (+ 1 (* (+ N 1) N)))))) 4.608 * * * * [progress]: [ 21 / 103 ] simplifiying candidate # 4.608 * [simplify]: Simplifying (cbrt 1) 4.608 * * [simplify]: iters left: 1 (2 enodes) 4.611 * * [simplify]: Extracting #0: cost 1 inf + 0 4.611 * * [simplify]: Extracting #1: cost 0 inf + 1 4.611 * [simplify]: Simplified to 1 4.612 * [simplify]: Simplified (2 2 1 2 1) to (λ (N) (atan2 1 (* (* (cbrt (+ 1 (* (+ N 1) N))) (* 1 (cbrt (+ 1 (* (+ N 1) N))))) (cbrt (+ 1 (* (+ N 1) N)))))) 4.612 * * * * [progress]: [ 22 / 103 ] simplifiying candidate # 4.612 * [simplify]: Simplifying (cbrt (+ (pow 1 3) (pow (* (+ N 1) N) 3))) 4.612 * * [simplify]: iters left: 6 (9 enodes) 4.618 * * [simplify]: iters left: 5 (43 enodes) 4.634 * * [simplify]: iters left: 4 (100 enodes) 4.661 * * [simplify]: iters left: 3 (237 enodes) 4.764 * * [simplify]: iters left: 2 (459 enodes) 5.054 * * [simplify]: Extracting #0: cost 1 inf + 0 5.054 * * [simplify]: Extracting #1: cost 3 inf + 0 5.054 * * [simplify]: Extracting #2: cost 6 inf + 0 5.055 * * [simplify]: Extracting #3: cost 65 inf + 1 5.055 * * [simplify]: Extracting #4: cost 196 inf + 777 5.058 * * [simplify]: Extracting #5: cost 154 inf + 9357 5.064 * * [simplify]: Extracting #6: cost 47 inf + 47892 5.083 * * [simplify]: Extracting #7: cost 3 inf + 71060 5.101 * * [simplify]: Extracting #8: cost 0 inf + 72438 5.119 * [simplify]: Simplified to (cbrt (+ 1 (* (+ (* N N) N) (* (+ (* N N) N) (+ (* N N) N))))) 5.119 * [simplify]: Simplified (2 2 1 2 1) to (λ (N) (atan2 1 (* (* (cbrt (+ 1 (* (+ N 1) N))) (/ (cbrt (+ 1 (* (+ (* N N) N) (* (+ (* N N) N) (+ (* N N) N))))) (cbrt (+ (* 1 1) (- (* (* (+ N 1) N) (* (+ N 1) N)) (* 1 (* (+ N 1) N))))))) (cbrt (+ 1 (* (+ N 1) N)))))) 5.119 * * * * [progress]: [ 23 / 103 ] simplifiying candidate # 5.120 * [simplify]: Simplifying (cbrt (- (* 1 1) (* (* (+ N 1) N) (* (+ N 1) N)))) 5.120 * * [simplify]: iters left: 6 (8 enodes) 5.125 * * [simplify]: iters left: 5 (35 enodes) 5.138 * * [simplify]: iters left: 4 (93 enodes) 5.159 * * [simplify]: iters left: 3 (168 enodes) 5.209 * * [simplify]: iters left: 2 (291 enodes) 5.375 * * [simplify]: Extracting #0: cost 1 inf + 0 5.375 * * [simplify]: Extracting #1: cost 3 inf + 0 5.375 * * [simplify]: Extracting #2: cost 13 inf + 0 5.375 * * [simplify]: Extracting #3: cost 48 inf + 1 5.376 * * [simplify]: Extracting #4: cost 71 inf + 2631 5.381 * * [simplify]: Extracting #5: cost 20 inf + 10755 5.389 * * [simplify]: Extracting #6: cost 0 inf + 13910 5.397 * [simplify]: Simplified to (cbrt (- 1 (* (+ N (* N N)) (+ N (* N N))))) 5.397 * [simplify]: Simplified (2 2 1 2 1) to (λ (N) (atan2 1 (* (* (cbrt (+ 1 (* (+ N 1) N))) (/ (cbrt (- 1 (* (+ N (* N N)) (+ N (* N N))))) (cbrt (- 1 (* (+ N 1) N))))) (cbrt (+ 1 (* (+ N 1) N)))))) 5.397 * * * * [progress]: [ 24 / 103 ] simplifiying candidate # 5.397 * * * * [progress]: [ 25 / 103 ] simplifiying candidate # 5.397 * * * * [progress]: [ 26 / 103 ] simplifiying candidate # 5.397 * * * * [progress]: [ 27 / 103 ] simplifiying candidate # 5.397 * * * * [progress]: [ 28 / 103 ] simplifiying candidate #real (real->posit16 (cbrt (+ 1 (* (+ N 1) N)))))) (cbrt (+ 1 (* (+ N 1) N))))))> 5.397 * * * * [progress]: [ 29 / 103 ] simplifiying candidate # 5.397 * * * * [progress]: [ 30 / 103 ] simplifiying candidate # 5.398 * * * * [progress]: [ 31 / 103 ] simplifiying candidate # 5.398 * * * * [progress]: [ 32 / 103 ] simplifiying candidate # 5.398 * * * * [progress]: [ 33 / 103 ] simplifiying candidate # 5.398 * [simplify]: Simplifying (cbrt (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N))))) 5.398 * * [simplify]: iters left: 6 (8 enodes) 5.402 * * [simplify]: iters left: 5 (29 enodes) 5.411 * * [simplify]: iters left: 4 (38 enodes) 5.422 * * [simplify]: iters left: 3 (40 enodes) 5.432 * * [simplify]: Extracting #0: cost 1 inf + 0 5.433 * * [simplify]: Extracting #1: cost 3 inf + 0 5.433 * * [simplify]: Extracting #2: cost 5 inf + 0 5.433 * * [simplify]: Extracting #3: cost 7 inf + 0 5.433 * * [simplify]: Extracting #4: cost 10 inf + 0 5.433 * * [simplify]: Extracting #5: cost 13 inf + 1 5.433 * * [simplify]: Extracting #6: cost 14 inf + 2 5.433 * * [simplify]: Extracting #7: cost 9 inf + 249 5.433 * * [simplify]: Extracting #8: cost 5 inf + 776 5.434 * * [simplify]: Extracting #9: cost 1 inf + 1784 5.434 * * [simplify]: Extracting #10: cost 0 inf + 2106 5.435 * [simplify]: Simplified to (cbrt (* (cbrt (+ (+ N (* N N)) 1)) (cbrt (+ (+ N (* N N)) 1)))) 5.435 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (atan2 1 (* (* (* (cbrt (* (cbrt (+ (+ N (* N N)) 1)) (cbrt (+ (+ N (* N N)) 1)))) (cbrt (cbrt (+ 1 (* (+ N 1) N))))) (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (+ 1 (* (+ N 1) N)))))) 5.435 * * * * [progress]: [ 34 / 103 ] simplifiying candidate # 5.436 * [simplify]: Simplifying (cbrt (sqrt (+ 1 (* (+ N 1) N)))) 5.436 * * [simplify]: iters left: 6 (7 enodes) 5.439 * * [simplify]: iters left: 5 (26 enodes) 5.444 * * [simplify]: iters left: 4 (35 enodes) 5.449 * * [simplify]: iters left: 3 (37 enodes) 5.454 * * [simplify]: Extracting #0: cost 1 inf + 0 5.454 * * [simplify]: Extracting #1: cost 3 inf + 0 5.454 * * [simplify]: Extracting #2: cost 5 inf + 0 5.454 * * [simplify]: Extracting #3: cost 8 inf + 0 5.454 * * [simplify]: Extracting #4: cost 11 inf + 1 5.454 * * [simplify]: Extracting #5: cost 8 inf + 249 5.455 * * [simplify]: Extracting #6: cost 3 inf + 736 5.455 * * [simplify]: Extracting #7: cost 1 inf + 1140 5.455 * * [simplify]: Extracting #8: cost 0 inf + 1382 5.455 * [simplify]: Simplified to (cbrt (sqrt (+ (* (+ N 1) N) 1))) 5.455 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (+ (* (+ N 1) N) 1))) (cbrt (sqrt (+ 1 (* (+ N 1) N))))) (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (+ 1 (* (+ N 1) N)))))) 5.455 * * * * [progress]: [ 35 / 103 ] simplifiying candidate # 5.456 * [simplify]: Simplifying (cbrt 1) 5.456 * * [simplify]: iters left: 1 (2 enodes) 5.457 * * [simplify]: Extracting #0: cost 1 inf + 0 5.458 * * [simplify]: Extracting #1: cost 0 inf + 1 5.458 * [simplify]: Simplified to 1 5.458 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (atan2 1 (* (* (* 1 (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (+ 1 (* (+ N 1) N)))))) 5.458 * * * * [progress]: [ 36 / 103 ] simplifiying candidate # 5.458 * [simplify]: Simplifying (cbrt (+ (pow 1 3) (pow (* (+ N 1) N) 3))) 5.458 * * [simplify]: iters left: 6 (9 enodes) 5.464 * * [simplify]: iters left: 5 (43 enodes) 5.476 * * [simplify]: iters left: 4 (100 enodes) 5.505 * * [simplify]: iters left: 3 (237 enodes) 5.591 * * [simplify]: iters left: 2 (459 enodes) 5.809 * * [simplify]: Extracting #0: cost 1 inf + 0 5.809 * * [simplify]: Extracting #1: cost 3 inf + 0 5.809 * * [simplify]: Extracting #2: cost 6 inf + 0 5.810 * * [simplify]: Extracting #3: cost 65 inf + 1 5.810 * * [simplify]: Extracting #4: cost 196 inf + 777 5.813 * * [simplify]: Extracting #5: cost 154 inf + 9357 5.830 * * [simplify]: Extracting #6: cost 47 inf + 47892 5.848 * * [simplify]: Extracting #7: cost 3 inf + 71060 5.867 * * [simplify]: Extracting #8: cost 0 inf + 72438 5.883 * [simplify]: Simplified to (cbrt (+ 1 (* (+ (* N N) N) (* (+ (* N N) N) (+ (* N N) N))))) 5.883 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (atan2 1 (* (* (/ (cbrt (+ 1 (* (+ (* N N) N) (* (+ (* N N) N) (+ (* N N) N))))) (cbrt (+ (* 1 1) (- (* (* (+ N 1) N) (* (+ N 1) N)) (* 1 (* (+ N 1) N)))))) (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (+ 1 (* (+ N 1) N)))))) 5.884 * * * * [progress]: [ 37 / 103 ] simplifiying candidate # 5.884 * [simplify]: Simplifying (cbrt (- (* 1 1) (* (* (+ N 1) N) (* (+ N 1) N)))) 5.884 * * [simplify]: iters left: 6 (8 enodes) 5.886 * * [simplify]: iters left: 5 (35 enodes) 5.893 * * [simplify]: iters left: 4 (93 enodes) 5.916 * * [simplify]: iters left: 3 (168 enodes) 6.294 * * [simplify]: iters left: 2 (291 enodes) 6.410 * * [simplify]: Extracting #0: cost 1 inf + 0 6.410 * * [simplify]: Extracting #1: cost 3 inf + 0 6.410 * * [simplify]: Extracting #2: cost 13 inf + 0 6.411 * * [simplify]: Extracting #3: cost 48 inf + 1 6.413 * * [simplify]: Extracting #4: cost 71 inf + 2631 6.417 * * [simplify]: Extracting #5: cost 20 inf + 10755 6.421 * * [simplify]: Extracting #6: cost 0 inf + 13910 6.425 * [simplify]: Simplified to (cbrt (- 1 (* (+ N (* N N)) (+ N (* N N))))) 6.425 * [simplify]: Simplified (2 2 1 1 1) to (λ (N) (atan2 1 (* (* (/ (cbrt (- 1 (* (+ N (* N N)) (+ N (* N N))))) (cbrt (- 1 (* (+ N 1) N)))) (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (+ 1 (* (+ N 1) N)))))) 6.425 * * * * [progress]: [ 38 / 103 ] simplifiying candidate # 6.425 * * * * [progress]: [ 39 / 103 ] simplifiying candidate # 6.425 * * * * [progress]: [ 40 / 103 ] simplifiying candidate # 6.425 * * * * [progress]: [ 41 / 103 ] simplifiying candidate # 6.425 * * * * [progress]: [ 42 / 103 ] simplifiying candidate #real (real->posit16 (cbrt (+ 1 (* (+ N 1) N))))) (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (+ 1 (* (+ N 1) N))))))> 6.425 * * * * [progress]: [ 43 / 103 ] simplifiying candidate # 6.425 * [simplify]: Simplifying (+ 1 (* (+ N 1) N)) 6.425 * * [simplify]: iters left: 6 (5 enodes) 6.427 * * [simplify]: iters left: 5 (20 enodes) 6.430 * * [simplify]: iters left: 4 (29 enodes) 6.435 * * [simplify]: iters left: 3 (31 enodes) 6.439 * * [simplify]: Extracting #0: cost 1 inf + 0 6.440 * * [simplify]: Extracting #1: cost 4 inf + 0 6.440 * * [simplify]: Extracting #2: cost 7 inf + 1 6.440 * * [simplify]: Extracting #3: cost 2 inf + 493 6.440 * * [simplify]: Extracting #4: cost 0 inf + 574 6.440 * [simplify]: Simplified to (+ (* (+ N 1) N) 1) 6.440 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (pow (+ (* (+ N 1) N) 1) (+ 1/3 1/3)) (cbrt (+ 1 (* (+ N 1) N)))))) 6.440 * [simplify]: Simplifying (+ 1/3 1/3) 6.440 * * [simplify]: iters left: 2 (2 enodes) 6.442 * * [simplify]: iters left: 1 (7 enodes) 6.443 * * [simplify]: Extracting #0: cost 1 inf + 0 6.443 * * [simplify]: Extracting #1: cost 0 inf + 1 6.443 * [simplify]: Simplified to 2/3 6.443 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (pow (+ 1 (* (+ N 1) N)) 2/3) (cbrt (+ 1 (* (+ N 1) N)))))) 6.443 * * * * [progress]: [ 44 / 103 ] simplifiying candidate # 6.443 * [simplify]: Simplifying (cbrt (+ 1 (* (+ N 1) N))) 6.443 * * [simplify]: iters left: 6 (6 enodes) 6.445 * * [simplify]: iters left: 5 (23 enodes) 6.449 * * [simplify]: iters left: 4 (32 enodes) 6.454 * * [simplify]: iters left: 3 (34 enodes) 6.459 * * [simplify]: Extracting #0: cost 1 inf + 0 6.459 * * [simplify]: Extracting #1: cost 3 inf + 0 6.459 * * [simplify]: Extracting #2: cost 6 inf + 0 6.459 * * [simplify]: Extracting #3: cost 9 inf + 1 6.459 * * [simplify]: Extracting #4: cost 9 inf + 43 6.461 * * [simplify]: Extracting #5: cost 1 inf + 776 6.461 * * [simplify]: Extracting #6: cost 0 inf + 978 6.461 * [simplify]: Simplified to (cbrt (+ (+ N (* N N)) 1)) 6.461 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (pow (cbrt (+ (+ N (* N N)) 1)) (+ 1 1)) (cbrt (+ 1 (* (+ N 1) N)))))) 6.462 * [simplify]: Simplifying (+ 1 1) 6.462 * * [simplify]: iters left: 2 (2 enodes) 6.463 * * [simplify]: iters left: 1 (9 enodes) 6.465 * * [simplify]: Extracting #0: cost 1 inf + 0 6.465 * * [simplify]: Extracting #1: cost 0 inf + 1 6.465 * [simplify]: Simplified to 2 6.465 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (pow (cbrt (+ 1 (* (+ N 1) N))) 2) (cbrt (+ 1 (* (+ N 1) N)))))) 6.465 * * * * [progress]: [ 45 / 103 ] simplifiying candidate # 6.465 * [simplify]: Simplifying (* (+ 1 (* (+ N 1) N)) (+ 1 (* (+ N 1) N))) 6.466 * * [simplify]: iters left: 6 (6 enodes) 6.469 * * [simplify]: iters left: 5 (29 enodes) 6.479 * * [simplify]: iters left: 4 (64 enodes) 6.492 * * [simplify]: iters left: 3 (128 enodes) 6.543 * * [simplify]: iters left: 2 (342 enodes) 6.779 * * [simplify]: Extracting #0: cost 1 inf + 0 6.779 * * [simplify]: Extracting #1: cost 36 inf + 0 6.780 * * [simplify]: Extracting #2: cost 143 inf + 2 6.783 * * [simplify]: Extracting #3: cost 156 inf + 4010 6.794 * * [simplify]: Extracting #4: cost 48 inf + 22471 6.813 * * [simplify]: Extracting #5: cost 0 inf + 31829 6.836 * [simplify]: Simplified to (* (+ (+ N (* N N)) 1) (+ (+ N (* N N)) 1)) 6.836 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (pow (* (+ (+ N (* N N)) 1) (+ (+ N (* N N)) 1)) 1/3) (cbrt (+ 1 (* (+ N 1) N)))))) 6.836 * * * * [progress]: [ 46 / 103 ] simplifiying candidate # 6.837 * [simplify]: Simplifying (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N)))) 6.837 * * [simplify]: iters left: 6 (7 enodes) 6.841 * * [simplify]: iters left: 5 (26 enodes) 6.849 * * [simplify]: iters left: 4 (35 enodes) 6.859 * * [simplify]: iters left: 3 (37 enodes) 6.870 * * [simplify]: Extracting #0: cost 1 inf + 0 6.870 * * [simplify]: Extracting #1: cost 3 inf + 0 6.870 * * [simplify]: Extracting #2: cost 5 inf + 0 6.870 * * [simplify]: Extracting #3: cost 8 inf + 0 6.870 * * [simplify]: Extracting #4: cost 11 inf + 1 6.870 * * [simplify]: Extracting #5: cost 8 inf + 249 6.870 * * [simplify]: Extracting #6: cost 3 inf + 776 6.871 * * [simplify]: Extracting #7: cost 1 inf + 1220 6.871 * * [simplify]: Extracting #8: cost 0 inf + 1462 6.872 * [simplify]: Simplified to (* (cbrt (+ (* (+ N 1) N) 1)) (cbrt (+ (* (+ N 1) N) 1))) 6.872 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (pow (* (cbrt (+ (* (+ N 1) N) 1)) (cbrt (+ (* (+ N 1) N) 1))) 1) (cbrt (+ 1 (* (+ N 1) N)))))) 6.872 * * * * [progress]: [ 47 / 103 ] simplifiying candidate # 6.872 * * * * [progress]: [ 48 / 103 ] simplifiying candidate # 6.873 * [simplify]: Simplifying (cbrt (+ 1 (* (+ N 1) N))) 6.873 * * [simplify]: iters left: 6 (6 enodes) 6.876 * * [simplify]: iters left: 5 (23 enodes) 6.883 * * [simplify]: iters left: 4 (32 enodes) 6.893 * * [simplify]: iters left: 3 (34 enodes) 6.901 * * [simplify]: Extracting #0: cost 1 inf + 0 6.901 * * [simplify]: Extracting #1: cost 3 inf + 0 6.901 * * [simplify]: Extracting #2: cost 6 inf + 0 6.902 * * [simplify]: Extracting #3: cost 9 inf + 1 6.902 * * [simplify]: Extracting #4: cost 9 inf + 43 6.902 * * [simplify]: Extracting #5: cost 1 inf + 776 6.902 * * [simplify]: Extracting #6: cost 0 inf + 978 6.903 * [simplify]: Simplified to (cbrt (+ (+ N (* N N)) 1)) 6.903 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (pow (cbrt (+ (+ N (* N N)) 1)) (+ 1 1)) (cbrt (+ 1 (* (+ N 1) N)))))) 6.903 * * * * [progress]: [ 49 / 103 ] simplifiying candidate # 6.903 * * * * [progress]: [ 50 / 103 ] simplifiying candidate # 6.903 * [simplify]: Simplifying (+ (log (cbrt (+ 1 (* (+ N 1) N)))) (log (cbrt (+ 1 (* (+ N 1) N))))) 6.903 * * [simplify]: iters left: 6 (8 enodes) 6.906 * * [simplify]: iters left: 5 (29 enodes) 6.910 * * [simplify]: iters left: 4 (38 enodes) 6.916 * * [simplify]: iters left: 3 (40 enodes) 6.921 * * [simplify]: Extracting #0: cost 1 inf + 0 6.921 * * [simplify]: Extracting #1: cost 3 inf + 0 6.921 * * [simplify]: Extracting #2: cost 5 inf + 0 6.921 * * [simplify]: Extracting #3: cost 7 inf + 0 6.921 * * [simplify]: Extracting #4: cost 10 inf + 0 6.921 * * [simplify]: Extracting #5: cost 13 inf + 1 6.921 * * [simplify]: Extracting #6: cost 14 inf + 2 6.921 * * [simplify]: Extracting #7: cost 9 inf + 249 6.921 * * [simplify]: Extracting #8: cost 5 inf + 776 6.921 * * [simplify]: Extracting #9: cost 1 inf + 1834 6.922 * * [simplify]: Extracting #10: cost 0 inf + 2146 6.922 * [simplify]: Simplified to (+ (log (cbrt (+ (+ N (* N N)) 1))) (log (cbrt (+ (+ N (* N N)) 1)))) 6.922 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (exp (+ (log (cbrt (+ (+ N (* N N)) 1))) (log (cbrt (+ (+ N (* N N)) 1))))) (cbrt (+ 1 (* (+ N 1) N)))))) 6.922 * * * * [progress]: [ 51 / 103 ] simplifiying candidate # 6.922 * * * * [progress]: [ 52 / 103 ] simplifiying candidate # 6.922 * * * * [progress]: [ 53 / 103 ] simplifiying candidate # 6.922 * [simplify]: Simplifying (* (+ 1 (* (+ N 1) N)) (+ 1 (* (+ N 1) N))) 6.922 * * [simplify]: iters left: 6 (6 enodes) 6.924 * * [simplify]: iters left: 5 (29 enodes) 6.930 * * [simplify]: iters left: 4 (64 enodes) 6.955 * * [simplify]: iters left: 3 (128 enodes) 6.999 * * [simplify]: iters left: 2 (342 enodes) 7.254 * * [simplify]: Extracting #0: cost 1 inf + 0 7.254 * * [simplify]: Extracting #1: cost 36 inf + 0 7.255 * * [simplify]: Extracting #2: cost 143 inf + 2 7.256 * * [simplify]: Extracting #3: cost 156 inf + 4010 7.262 * * [simplify]: Extracting #4: cost 48 inf + 22471 7.272 * * [simplify]: Extracting #5: cost 0 inf + 31829 7.288 * [simplify]: Simplified to (* (+ (+ N (* N N)) 1) (+ (+ N (* N N)) 1)) 7.288 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (cbrt (* (+ (+ N (* N N)) 1) (+ (+ N (* N N)) 1))) (cbrt (+ 1 (* (+ N 1) N)))))) 7.288 * * * * [progress]: [ 54 / 103 ] simplifiying candidate # 7.289 * * * * [progress]: [ 55 / 103 ] simplifiying candidate # 7.289 * * * * [progress]: [ 56 / 103 ] simplifiying candidate # 7.289 * * * * [progress]: [ 57 / 103 ] simplifiying candidate # 7.289 * [simplify]: Simplifying (* (cbrt (+ (pow 1 3) (pow (* (+ N 1) N) 3))) (cbrt (+ (pow 1 3) (pow (* (+ N 1) N) 3)))) 7.289 * * [simplify]: iters left: 6 (10 enodes) 7.297 * * [simplify]: iters left: 5 (46 enodes) 7.315 * * [simplify]: iters left: 4 (103 enodes) 7.367 * * [simplify]: iters left: 3 (241 enodes) 7.481 * * [simplify]: iters left: 2 (456 enodes) 7.713 * * [simplify]: Extracting #0: cost 1 inf + 0 7.713 * * [simplify]: Extracting #1: cost 3 inf + 0 7.713 * * [simplify]: Extracting #2: cost 5 inf + 0 7.713 * * [simplify]: Extracting #3: cost 8 inf + 0 7.713 * * [simplify]: Extracting #4: cost 63 inf + 1 7.714 * * [simplify]: Extracting #5: cost 191 inf + 369 7.718 * * [simplify]: Extracting #6: cost 150 inf + 11845 7.730 * * [simplify]: Extracting #7: cost 38 inf + 52688 7.745 * * [simplify]: Extracting #8: cost 0 inf + 70938 7.755 * [simplify]: Simplified to (* (cbrt (+ 1 (* (* (+ N (* N N)) (+ N (* N N))) (+ N (* N N))))) (cbrt (+ 1 (* (* (+ N (* N N)) (+ N (* N N))) (+ N (* N N)))))) 7.755 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (/ (* (cbrt (+ 1 (* (* (+ N (* N N)) (+ N (* N N))) (+ N (* N N))))) (cbrt (+ 1 (* (* (+ N (* N N)) (+ N (* N N))) (+ N (* N N)))))) (* (cbrt (+ (* 1 1) (- (* (* (+ N 1) N) (* (+ N 1) N)) (* 1 (* (+ N 1) N))))) (cbrt (+ (* 1 1) (- (* (* (+ N 1) N) (* (+ N 1) N)) (* 1 (* (+ N 1) N))))))) (cbrt (+ 1 (* (+ N 1) N)))))) 7.755 * [simplify]: Simplifying (* (cbrt (+ (* 1 1) (- (* (* (+ N 1) N) (* (+ N 1) N)) (* 1 (* (+ N 1) N))))) (cbrt (+ (* 1 1) (- (* (* (+ N 1) N) (* (+ N 1) N)) (* 1 (* (+ N 1) N)))))) 7.755 * * [simplify]: iters left: 6 (11 enodes) 7.759 * * [simplify]: iters left: 5 (51 enodes) 7.777 * * [simplify]: iters left: 4 (134 enodes) 7.814 * * [simplify]: iters left: 3 (271 enodes) 7.924 * * [simplify]: Extracting #0: cost 1 inf + 0 7.924 * * [simplify]: Extracting #1: cost 3 inf + 0 7.924 * * [simplify]: Extracting #2: cost 5 inf + 0 7.925 * * [simplify]: Extracting #3: cost 26 inf + 0 7.925 * * [simplify]: Extracting #4: cost 73 inf + 44 7.925 * * [simplify]: Extracting #5: cost 87 inf + 1641 7.927 * * [simplify]: Extracting #6: cost 63 inf + 6823 7.932 * * [simplify]: Extracting #7: cost 0 inf + 17536 7.938 * * [simplify]: Extracting #8: cost 0 inf + 17495 7.943 * [simplify]: Simplified to (* (cbrt (+ (* (+ (* N N) N) (+ (* N N) N)) (- 1 (+ (* N N) N)))) (cbrt (+ (* (+ (* N N) N) (+ (* N N) N)) (- 1 (+ (* N N) N))))) 7.943 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (/ (* (cbrt (+ 1 (* (* (+ N (* N N)) (+ N (* N N))) (+ N (* N N))))) (cbrt (+ 1 (* (* (+ N (* N N)) (+ N (* N N))) (+ N (* N N)))))) (* (cbrt (+ (* (+ (* N N) N) (+ (* N N) N)) (- 1 (+ (* N N) N)))) (cbrt (+ (* (+ (* N N) N) (+ (* N N) N)) (- 1 (+ (* N N) N)))))) (cbrt (+ 1 (* (+ N 1) N)))))) 7.943 * * * * [progress]: [ 58 / 103 ] simplifiying candidate # 7.943 * [simplify]: Simplifying (* (cbrt (+ (pow 1 3) (pow (* (+ N 1) N) 3))) (cbrt (- (* 1 1) (* (* (+ N 1) N) (* (+ N 1) N))))) 7.944 * * [simplify]: iters left: 6 (14 enodes) 7.948 * * [simplify]: iters left: 5 (64 enodes) 7.962 * * [simplify]: iters left: 4 (166 enodes) 8.009 * * [simplify]: iters left: 3 (346 enodes) 8.119 * * [simplify]: Extracting #0: cost 1 inf + 0 8.119 * * [simplify]: Extracting #1: cost 4 inf + 0 8.119 * * [simplify]: Extracting #2: cost 8 inf + 0 8.119 * * [simplify]: Extracting #3: cost 14 inf + 0 8.120 * * [simplify]: Extracting #4: cost 56 inf + 1 8.121 * * [simplify]: Extracting #5: cost 120 inf + 940 8.127 * * [simplify]: Extracting #6: cost 48 inf + 13675 8.135 * * [simplify]: Extracting #7: cost 10 inf + 25483 8.141 * * [simplify]: Extracting #8: cost 1 inf + 28575 8.147 * * [simplify]: Extracting #9: cost 0 inf + 28867 8.153 * [simplify]: Simplified to (* (cbrt (- 1 (* (* N (+ N 1)) (* N (+ N 1))))) (cbrt (+ 1 (* (* (+ N 1) (* N (+ N 1))) (* N (* N (+ N 1))))))) 8.153 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (/ (* (cbrt (- 1 (* (* N (+ N 1)) (* N (+ N 1))))) (cbrt (+ 1 (* (* (+ N 1) (* N (+ N 1))) (* N (* N (+ N 1))))))) (* (cbrt (+ (* 1 1) (- (* (* (+ N 1) N) (* (+ N 1) N)) (* 1 (* (+ N 1) N))))) (cbrt (- 1 (* (+ N 1) N))))) (cbrt (+ 1 (* (+ N 1) N)))))) 8.153 * [simplify]: Simplifying (* (cbrt (+ (* 1 1) (- (* (* (+ N 1) N) (* (+ N 1) N)) (* 1 (* (+ N 1) N))))) (cbrt (- 1 (* (+ N 1) N)))) 8.153 * * [simplify]: iters left: 6 (13 enodes) 8.157 * * [simplify]: iters left: 5 (59 enodes) 8.171 * * [simplify]: iters left: 4 (145 enodes) 8.211 * * [simplify]: iters left: 3 (277 enodes) 8.369 * * [simplify]: Extracting #0: cost 1 inf + 0 8.369 * * [simplify]: Extracting #1: cost 4 inf + 0 8.369 * * [simplify]: Extracting #2: cost 8 inf + 0 8.369 * * [simplify]: Extracting #3: cost 26 inf + 0 8.370 * * [simplify]: Extracting #4: cost 75 inf + 2 8.370 * * [simplify]: Extracting #5: cost 100 inf + 663 8.373 * * [simplify]: Extracting #6: cost 43 inf + 11358 8.378 * * [simplify]: Extracting #7: cost 1 inf + 18457 8.383 * * [simplify]: Extracting #8: cost 0 inf + 18415 8.389 * [simplify]: Simplified to (* (cbrt (- 1 (* N (+ 1 N)))) (cbrt (- 1 (- (* N (+ 1 N)) (* (* N (+ 1 N)) (* N (+ 1 N))))))) 8.389 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (/ (* (cbrt (- 1 (* (* N (+ N 1)) (* N (+ N 1))))) (cbrt (+ 1 (* (* (+ N 1) (* N (+ N 1))) (* N (* N (+ N 1))))))) (* (cbrt (- 1 (* N (+ 1 N)))) (cbrt (- 1 (- (* N (+ 1 N)) (* (* N (+ 1 N)) (* N (+ 1 N)))))))) (cbrt (+ 1 (* (+ N 1) N)))))) 8.389 * * * * [progress]: [ 59 / 103 ] simplifiying candidate # 8.389 * [simplify]: Simplifying (* (cbrt (- (* 1 1) (* (* (+ N 1) N) (* (+ N 1) N)))) (cbrt (+ (pow 1 3) (pow (* (+ N 1) N) 3)))) 8.390 * * [simplify]: iters left: 6 (14 enodes) 8.398 * * [simplify]: iters left: 5 (64 enodes) 8.419 * * [simplify]: iters left: 4 (166 enodes) 8.481 * * [simplify]: iters left: 3 (354 enodes) 8.618 * * [simplify]: Extracting #0: cost 1 inf + 0 8.618 * * [simplify]: Extracting #1: cost 4 inf + 0 8.618 * * [simplify]: Extracting #2: cost 8 inf + 0 8.618 * * [simplify]: Extracting #3: cost 14 inf + 0 8.618 * * [simplify]: Extracting #4: cost 56 inf + 1 8.619 * * [simplify]: Extracting #5: cost 108 inf + 3004 8.625 * * [simplify]: Extracting #6: cost 47 inf + 13824 8.630 * * [simplify]: Extracting #7: cost 14 inf + 23489 8.636 * * [simplify]: Extracting #8: cost 1 inf + 28415 8.642 * * [simplify]: Extracting #9: cost 0 inf + 28707 8.653 * [simplify]: Simplified to (* (cbrt (+ 1 (* (* N (+ 1 N)) (* (* N (+ 1 N)) (* N (+ 1 N)))))) (cbrt (- 1 (* (* N (+ 1 N)) (* N (+ 1 N)))))) 8.654 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (/ (* (cbrt (+ 1 (* (* N (+ 1 N)) (* (* N (+ 1 N)) (* N (+ 1 N)))))) (cbrt (- 1 (* (* N (+ 1 N)) (* N (+ 1 N)))))) (* (cbrt (- 1 (* (+ N 1) N))) (cbrt (+ (* 1 1) (- (* (* (+ N 1) N) (* (+ N 1) N)) (* 1 (* (+ N 1) N))))))) (cbrt (+ 1 (* (+ N 1) N)))))) 8.654 * [simplify]: Simplifying (* (cbrt (- 1 (* (+ N 1) N))) (cbrt (+ (* 1 1) (- (* (* (+ N 1) N) (* (+ N 1) N)) (* 1 (* (+ N 1) N)))))) 8.654 * * [simplify]: iters left: 6 (13 enodes) 8.662 * * [simplify]: iters left: 5 (59 enodes) 8.678 * * [simplify]: iters left: 4 (145 enodes) 8.719 * * [simplify]: iters left: 3 (276 enodes) 8.831 * * [simplify]: Extracting #0: cost 1 inf + 0 8.832 * * [simplify]: Extracting #1: cost 4 inf + 0 8.832 * * [simplify]: Extracting #2: cost 8 inf + 0 8.832 * * [simplify]: Extracting #3: cost 26 inf + 0 8.832 * * [simplify]: Extracting #4: cost 73 inf + 2 8.833 * * [simplify]: Extracting #5: cost 109 inf + 3 8.833 * * [simplify]: Extracting #6: cost 103 inf + 1555 8.836 * * [simplify]: Extracting #7: cost 30 inf + 12962 8.842 * * [simplify]: Extracting #8: cost 0 inf + 17854 8.852 * * [simplify]: Extracting #9: cost 0 inf + 17814 8.864 * [simplify]: Simplified to (* (cbrt (- 1 (+ N (* N N)))) (cbrt (- (- (* (+ N (* N N)) (+ N (* N N))) (+ N (* N N))) -1))) 8.864 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (/ (* (cbrt (+ 1 (* (* N (+ 1 N)) (* (* N (+ 1 N)) (* N (+ 1 N)))))) (cbrt (- 1 (* (* N (+ 1 N)) (* N (+ 1 N)))))) (* (cbrt (- 1 (+ N (* N N)))) (cbrt (- (- (* (+ N (* N N)) (+ N (* N N))) (+ N (* N N))) -1)))) (cbrt (+ 1 (* (+ N 1) N)))))) 8.864 * * * * [progress]: [ 60 / 103 ] simplifiying candidate # 8.865 * [simplify]: Simplifying (* (cbrt (- (* 1 1) (* (* (+ N 1) N) (* (+ N 1) N)))) (cbrt (- (* 1 1) (* (* (+ N 1) N) (* (+ N 1) N))))) 8.865 * * [simplify]: iters left: 6 (9 enodes) 8.871 * * [simplify]: iters left: 5 (38 enodes) 8.885 * * [simplify]: iters left: 4 (96 enodes) 8.909 * * [simplify]: iters left: 3 (170 enodes) 8.961 * * [simplify]: iters left: 2 (328 enodes) 9.102 * * [simplify]: Extracting #0: cost 1 inf + 0 9.102 * * [simplify]: Extracting #1: cost 3 inf + 0 9.102 * * [simplify]: Extracting #2: cost 5 inf + 0 9.102 * * [simplify]: Extracting #3: cost 15 inf + 0 9.102 * * [simplify]: Extracting #4: cost 54 inf + 1 9.103 * * [simplify]: Extracting #5: cost 68 inf + 3608 9.106 * * [simplify]: Extracting #6: cost 15 inf + 11735 9.110 * * [simplify]: Extracting #7: cost 1 inf + 13504 9.114 * * [simplify]: Extracting #8: cost 0 inf + 13713 9.118 * [simplify]: Simplified to (* (cbrt (- 1 (* (* N (+ 1 N)) (* N (+ 1 N))))) (cbrt (- 1 (* (* N (+ 1 N)) (* N (+ 1 N)))))) 9.118 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (/ (* (cbrt (- 1 (* (* N (+ 1 N)) (* N (+ 1 N))))) (cbrt (- 1 (* (* N (+ 1 N)) (* N (+ 1 N)))))) (* (cbrt (- 1 (* (+ N 1) N))) (cbrt (- 1 (* (+ N 1) N))))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.118 * [simplify]: Simplifying (* (cbrt (- 1 (* (+ N 1) N))) (cbrt (- 1 (* (+ N 1) N)))) 9.118 * * [simplify]: iters left: 6 (7 enodes) 9.120 * * [simplify]: iters left: 5 (27 enodes) 9.125 * * [simplify]: iters left: 4 (45 enodes) 9.135 * * [simplify]: iters left: 3 (63 enodes) 9.145 * * [simplify]: iters left: 2 (68 enodes) 9.156 * * [simplify]: iters left: 1 (81 enodes) 9.182 * * [simplify]: Extracting #0: cost 1 inf + 0 9.182 * * [simplify]: Extracting #1: cost 3 inf + 0 9.182 * * [simplify]: Extracting #2: cost 5 inf + 0 9.182 * * [simplify]: Extracting #3: cost 17 inf + 0 9.183 * * [simplify]: Extracting #4: cost 30 inf + 2 9.183 * * [simplify]: Extracting #5: cost 16 inf + 1470 9.184 * * [simplify]: Extracting #6: cost 2 inf + 3093 9.185 * * [simplify]: Extracting #7: cost 0 inf + 3177 9.186 * [simplify]: Simplified to (* (cbrt (- 1 (+ (* N N) N))) (cbrt (- 1 (+ (* N N) N)))) 9.186 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (/ (* (cbrt (- (* 1 1) (* (* (+ N 1) N) (* (+ N 1) N)))) (cbrt (- (* 1 1) (* (* (+ N 1) N) (* (+ N 1) N))))) (* (cbrt (- 1 (+ (* N N) N))) (cbrt (- 1 (+ (* N N) N))))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.186 * * * * [progress]: [ 61 / 103 ] simplifiying candidate # 9.186 * * * * [progress]: [ 62 / 103 ] simplifiying candidate # 9.186 * [simplify]: Simplifying (* (cbrt (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N))))) (cbrt (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.186 * * [simplify]: iters left: 6 (9 enodes) 9.189 * * [simplify]: iters left: 5 (32 enodes) 9.194 * * [simplify]: iters left: 4 (41 enodes) 9.200 * * [simplify]: iters left: 3 (43 enodes) 9.206 * * [simplify]: Extracting #0: cost 1 inf + 0 9.206 * * [simplify]: Extracting #1: cost 3 inf + 0 9.206 * * [simplify]: Extracting #2: cost 5 inf + 0 9.206 * * [simplify]: Extracting #3: cost 7 inf + 0 9.206 * * [simplify]: Extracting #4: cost 9 inf + 0 9.206 * * [simplify]: Extracting #5: cost 12 inf + 0 9.206 * * [simplify]: Extracting #6: cost 15 inf + 1 9.206 * * [simplify]: Extracting #7: cost 16 inf + 2 9.206 * * [simplify]: Extracting #8: cost 10 inf + 330 9.206 * * [simplify]: Extracting #9: cost 8 inf + 654 9.206 * * [simplify]: Extracting #10: cost 4 inf + 1542 9.207 * * [simplify]: Extracting #11: cost 0 inf + 2830 9.207 * [simplify]: Simplified to (* (cbrt (* (cbrt (+ (+ N (* N N)) 1)) (cbrt (+ (+ N (* N N)) 1)))) (cbrt (* (cbrt (+ (+ N (* N N)) 1)) (cbrt (+ (+ N (* N N)) 1))))) 9.207 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (* (cbrt (* (cbrt (+ (+ N (* N N)) 1)) (cbrt (+ (+ N (* N N)) 1)))) (cbrt (* (cbrt (+ (+ N (* N N)) 1)) (cbrt (+ (+ N (* N N)) 1))))) (* (cbrt (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (cbrt (+ 1 (* (+ N 1) N)))))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.208 * [simplify]: Simplifying (* (cbrt (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (cbrt (+ 1 (* (+ N 1) N))))) 9.208 * * [simplify]: iters left: 6 (8 enodes) 9.210 * * [simplify]: iters left: 5 (29 enodes) 9.214 * * [simplify]: iters left: 4 (38 enodes) 9.220 * * [simplify]: iters left: 3 (40 enodes) 9.225 * * [simplify]: Extracting #0: cost 1 inf + 0 9.225 * * [simplify]: Extracting #1: cost 3 inf + 0 9.225 * * [simplify]: Extracting #2: cost 5 inf + 0 9.226 * * [simplify]: Extracting #3: cost 7 inf + 0 9.226 * * [simplify]: Extracting #4: cost 10 inf + 0 9.226 * * [simplify]: Extracting #5: cost 13 inf + 1 9.226 * * [simplify]: Extracting #6: cost 14 inf + 2 9.226 * * [simplify]: Extracting #7: cost 9 inf + 249 9.226 * * [simplify]: Extracting #8: cost 5 inf + 776 9.226 * * [simplify]: Extracting #9: cost 1 inf + 1864 9.227 * * [simplify]: Extracting #10: cost 0 inf + 2186 9.227 * [simplify]: Simplified to (* (cbrt (cbrt (+ (+ N (* N N)) 1))) (cbrt (cbrt (+ (+ N (* N N)) 1)))) 9.227 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (* (cbrt (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N))))) (cbrt (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N)))))) (* (cbrt (cbrt (+ (+ N (* N N)) 1))) (cbrt (cbrt (+ (+ N (* N N)) 1))))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.227 * * * * [progress]: [ 63 / 103 ] simplifiying candidate # 9.227 * [simplify]: Simplifying (* (cbrt (sqrt (+ 1 (* (+ N 1) N)))) (cbrt (sqrt (+ 1 (* (+ N 1) N))))) 9.227 * * [simplify]: iters left: 6 (8 enodes) 9.229 * * [simplify]: iters left: 5 (29 enodes) 9.234 * * [simplify]: iters left: 4 (38 enodes) 9.241 * * [simplify]: iters left: 3 (40 enodes) 9.247 * * [simplify]: Extracting #0: cost 1 inf + 0 9.247 * * [simplify]: Extracting #1: cost 3 inf + 0 9.247 * * [simplify]: Extracting #2: cost 5 inf + 0 9.247 * * [simplify]: Extracting #3: cost 7 inf + 0 9.248 * * [simplify]: Extracting #4: cost 10 inf + 0 9.248 * * [simplify]: Extracting #5: cost 13 inf + 1 9.248 * * [simplify]: Extracting #6: cost 14 inf + 2 9.248 * * [simplify]: Extracting #7: cost 9 inf + 249 9.248 * * [simplify]: Extracting #8: cost 5 inf + 736 9.249 * * [simplify]: Extracting #9: cost 1 inf + 1664 9.249 * * [simplify]: Extracting #10: cost 0 inf + 1946 9.250 * [simplify]: Simplified to (* (cbrt (sqrt (+ (+ N (* N N)) 1))) (cbrt (sqrt (+ (+ N (* N N)) 1)))) 9.250 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (+ (+ N (* N N)) 1))) (cbrt (sqrt (+ (+ N (* N N)) 1)))) (* (cbrt (sqrt (+ 1 (* (+ N 1) N)))) (cbrt (sqrt (+ 1 (* (+ N 1) N)))))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.251 * [simplify]: Simplifying (* (cbrt (sqrt (+ 1 (* (+ N 1) N)))) (cbrt (sqrt (+ 1 (* (+ N 1) N))))) 9.251 * * [simplify]: iters left: 6 (8 enodes) 9.255 * * [simplify]: iters left: 5 (29 enodes) 9.264 * * [simplify]: iters left: 4 (38 enodes) 9.274 * * [simplify]: iters left: 3 (40 enodes) 9.279 * * [simplify]: Extracting #0: cost 1 inf + 0 9.280 * * [simplify]: Extracting #1: cost 3 inf + 0 9.280 * * [simplify]: Extracting #2: cost 5 inf + 0 9.280 * * [simplify]: Extracting #3: cost 7 inf + 0 9.280 * * [simplify]: Extracting #4: cost 10 inf + 0 9.280 * * [simplify]: Extracting #5: cost 13 inf + 1 9.280 * * [simplify]: Extracting #6: cost 14 inf + 2 9.280 * * [simplify]: Extracting #7: cost 9 inf + 249 9.280 * * [simplify]: Extracting #8: cost 5 inf + 736 9.280 * * [simplify]: Extracting #9: cost 1 inf + 1664 9.281 * * [simplify]: Extracting #10: cost 0 inf + 1946 9.281 * [simplify]: Simplified to (* (cbrt (sqrt (+ (+ N (* N N)) 1))) (cbrt (sqrt (+ (+ N (* N N)) 1)))) 9.281 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (+ 1 (* (+ N 1) N)))) (cbrt (sqrt (+ 1 (* (+ N 1) N))))) (* (cbrt (sqrt (+ (+ N (* N N)) 1))) (cbrt (sqrt (+ (+ N (* N N)) 1))))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.281 * * * * [progress]: [ 64 / 103 ] simplifiying candidate # 9.281 * [simplify]: Simplifying (* (cbrt 1) (cbrt 1)) 9.281 * * [simplify]: iters left: 3 (3 enodes) 9.285 * * [simplify]: iters left: 2 (11 enodes) 9.287 * * [simplify]: iters left: 1 (13 enodes) 9.289 * * [simplify]: Extracting #0: cost 1 inf + 0 9.289 * * [simplify]: Extracting #1: cost 0 inf + 1 9.289 * [simplify]: Simplified to 1 9.289 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* 1 (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N))))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.289 * [simplify]: Simplifying (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N)))) 9.289 * * [simplify]: iters left: 6 (7 enodes) 9.291 * * [simplify]: iters left: 5 (26 enodes) 9.296 * * [simplify]: iters left: 4 (35 enodes) 9.301 * * [simplify]: iters left: 3 (37 enodes) 9.308 * * [simplify]: Extracting #0: cost 1 inf + 0 9.308 * * [simplify]: Extracting #1: cost 3 inf + 0 9.308 * * [simplify]: Extracting #2: cost 5 inf + 0 9.308 * * [simplify]: Extracting #3: cost 8 inf + 0 9.308 * * [simplify]: Extracting #4: cost 11 inf + 1 9.308 * * [simplify]: Extracting #5: cost 8 inf + 249 9.308 * * [simplify]: Extracting #6: cost 3 inf + 776 9.309 * * [simplify]: Extracting #7: cost 1 inf + 1220 9.309 * * [simplify]: Extracting #8: cost 0 inf + 1462 9.309 * [simplify]: Simplified to (* (cbrt (+ (* (+ N 1) N) 1)) (cbrt (+ (* (+ N 1) N) 1))) 9.309 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* 1 (* (cbrt (+ (* (+ N 1) N) 1)) (cbrt (+ (* (+ N 1) N) 1)))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.309 * * * * [progress]: [ 65 / 103 ] simplifiying candidate # 9.310 * [simplify]: Simplifying (* (* (cbrt (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (cbrt (+ 1 (* (+ N 1) N))))) (* (cbrt (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (cbrt (+ 1 (* (+ N 1) N)))))) 9.310 * * [simplify]: iters left: 6 (9 enodes) 9.312 * * [simplify]: iters left: 5 (36 enodes) 9.318 * * [simplify]: iters left: 4 (49 enodes) 9.328 * * [simplify]: iters left: 3 (61 enodes) 9.339 * * [simplify]: iters left: 2 (81 enodes) 9.360 * * [simplify]: iters left: 1 (127 enodes) 9.396 * * [simplify]: Extracting #0: cost 1 inf + 0 9.396 * * [simplify]: Extracting #1: cost 13 inf + 0 9.396 * * [simplify]: Extracting #2: cost 40 inf + 1 9.396 * * [simplify]: Extracting #3: cost 40 inf + 7 9.396 * * [simplify]: Extracting #4: cost 43 inf + 9 9.396 * * [simplify]: Extracting #5: cost 43 inf + 11 9.397 * * [simplify]: Extracting #6: cost 36 inf + 664 9.397 * * [simplify]: Extracting #7: cost 27 inf + 3181 9.399 * * [simplify]: Extracting #8: cost 9 inf + 13298 9.401 * * [simplify]: Extracting #9: cost 0 inf + 19623 9.403 * [simplify]: Simplified to (* (cbrt (+ (* (+ N 1) N) 1)) (cbrt (cbrt (+ (* (+ N 1) N) 1)))) 9.403 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (* (cbrt (+ (* (+ N 1) N) 1)) (cbrt (cbrt (+ (* (+ N 1) N) 1)))) (* (cbrt (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (cbrt (+ 1 (* (+ N 1) N)))))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.403 * [simplify]: Simplifying (* (cbrt (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (cbrt (+ 1 (* (+ N 1) N))))) 9.403 * * [simplify]: iters left: 6 (8 enodes) 9.406 * * [simplify]: iters left: 5 (29 enodes) 9.410 * * [simplify]: iters left: 4 (38 enodes) 9.419 * * [simplify]: iters left: 3 (40 enodes) 9.429 * * [simplify]: Extracting #0: cost 1 inf + 0 9.429 * * [simplify]: Extracting #1: cost 3 inf + 0 9.429 * * [simplify]: Extracting #2: cost 5 inf + 0 9.429 * * [simplify]: Extracting #3: cost 7 inf + 0 9.429 * * [simplify]: Extracting #4: cost 10 inf + 0 9.429 * * [simplify]: Extracting #5: cost 13 inf + 1 9.429 * * [simplify]: Extracting #6: cost 14 inf + 2 9.429 * * [simplify]: Extracting #7: cost 9 inf + 249 9.430 * * [simplify]: Extracting #8: cost 5 inf + 776 9.430 * * [simplify]: Extracting #9: cost 1 inf + 1864 9.431 * * [simplify]: Extracting #10: cost 0 inf + 2186 9.431 * [simplify]: Simplified to (* (cbrt (cbrt (+ (+ N (* N N)) 1))) (cbrt (cbrt (+ (+ N (* N N)) 1)))) 9.431 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (* (* (cbrt (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (cbrt (+ 1 (* (+ N 1) N))))) (* (cbrt (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (cbrt (+ 1 (* (+ N 1) N)))))) (* (cbrt (cbrt (+ (+ N (* N N)) 1))) (cbrt (cbrt (+ (+ N (* N N)) 1))))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.432 * * * * [progress]: [ 66 / 103 ] simplifiying candidate # 9.432 * [simplify]: Simplifying (* (sqrt (cbrt (+ 1 (* (+ N 1) N)))) (sqrt (cbrt (+ 1 (* (+ N 1) N))))) 9.432 * * [simplify]: iters left: 6 (8 enodes) 9.436 * * [simplify]: iters left: 5 (27 enodes) 9.444 * * [simplify]: iters left: 4 (37 enodes) 9.455 * * [simplify]: iters left: 3 (39 enodes) 9.467 * * [simplify]: Extracting #0: cost 1 inf + 0 9.468 * * [simplify]: Extracting #1: cost 4 inf + 0 9.468 * * [simplify]: Extracting #2: cost 8 inf + 0 9.468 * * [simplify]: Extracting #3: cost 11 inf + 1 9.468 * * [simplify]: Extracting #4: cost 11 inf + 43 9.468 * * [simplify]: Extracting #5: cost 7 inf + 249 9.468 * * [simplify]: Extracting #6: cost 3 inf + 776 9.469 * * [simplify]: Extracting #7: cost 0 inf + 1462 9.470 * [simplify]: Simplified to (cbrt (+ (+ N (* N N)) 1)) 9.470 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (cbrt (+ (+ N (* N N)) 1)) (* (sqrt (cbrt (+ 1 (* (+ N 1) N)))) (sqrt (cbrt (+ 1 (* (+ N 1) N)))))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.470 * [simplify]: Simplifying (* (sqrt (cbrt (+ 1 (* (+ N 1) N)))) (sqrt (cbrt (+ 1 (* (+ N 1) N))))) 9.470 * * [simplify]: iters left: 6 (8 enodes) 9.474 * * [simplify]: iters left: 5 (27 enodes) 9.482 * * [simplify]: iters left: 4 (37 enodes) 9.493 * * [simplify]: iters left: 3 (39 enodes) 9.502 * * [simplify]: Extracting #0: cost 1 inf + 0 9.502 * * [simplify]: Extracting #1: cost 4 inf + 0 9.502 * * [simplify]: Extracting #2: cost 8 inf + 0 9.502 * * [simplify]: Extracting #3: cost 11 inf + 1 9.502 * * [simplify]: Extracting #4: cost 11 inf + 43 9.503 * * [simplify]: Extracting #5: cost 7 inf + 249 9.503 * * [simplify]: Extracting #6: cost 3 inf + 776 9.503 * * [simplify]: Extracting #7: cost 0 inf + 1462 9.504 * [simplify]: Simplified to (cbrt (+ (+ N (* N N)) 1)) 9.504 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (+ 1 (* (+ N 1) N)))) (sqrt (cbrt (+ 1 (* (+ N 1) N))))) (cbrt (+ (+ N (* N N)) 1))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.505 * * * * [progress]: [ 67 / 103 ] simplifiying candidate # 9.505 * [simplify]: Simplifying (* 1 1) 9.505 * * [simplify]: iters left: 2 (2 enodes) 9.506 * * [simplify]: iters left: 1 (6 enodes) 9.508 * * [simplify]: Extracting #0: cost 1 inf + 0 9.508 * * [simplify]: Extracting #1: cost 0 inf + 1 9.508 * [simplify]: Simplified to 1 9.508 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* 1 (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N))))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.509 * [simplify]: Simplifying (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N)))) 9.509 * * [simplify]: iters left: 6 (7 enodes) 9.512 * * [simplify]: iters left: 5 (26 enodes) 9.517 * * [simplify]: iters left: 4 (35 enodes) 9.527 * * [simplify]: iters left: 3 (37 enodes) 9.537 * * [simplify]: Extracting #0: cost 1 inf + 0 9.537 * * [simplify]: Extracting #1: cost 3 inf + 0 9.537 * * [simplify]: Extracting #2: cost 5 inf + 0 9.537 * * [simplify]: Extracting #3: cost 8 inf + 0 9.537 * * [simplify]: Extracting #4: cost 11 inf + 1 9.537 * * [simplify]: Extracting #5: cost 8 inf + 249 9.537 * * [simplify]: Extracting #6: cost 3 inf + 776 9.538 * * [simplify]: Extracting #7: cost 1 inf + 1220 9.538 * * [simplify]: Extracting #8: cost 0 inf + 1462 9.539 * [simplify]: Simplified to (* (cbrt (+ (* (+ N 1) N) 1)) (cbrt (+ (* (+ N 1) N) 1))) 9.539 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* 1 (* (cbrt (+ (* (+ N 1) N) 1)) (cbrt (+ (* (+ N 1) N) 1)))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.539 * * * * [progress]: [ 68 / 103 ] simplifiying candidate # 9.539 * [simplify]: Simplifying (* (cbrt (sqrt (+ 1 (* (+ N 1) N)))) (cbrt (sqrt (+ 1 (* (+ N 1) N))))) 9.539 * * [simplify]: iters left: 6 (8 enodes) 9.545 * * [simplify]: iters left: 5 (29 enodes) 9.550 * * [simplify]: iters left: 4 (38 enodes) 9.555 * * [simplify]: iters left: 3 (40 enodes) 9.560 * * [simplify]: Extracting #0: cost 1 inf + 0 9.560 * * [simplify]: Extracting #1: cost 3 inf + 0 9.560 * * [simplify]: Extracting #2: cost 5 inf + 0 9.560 * * [simplify]: Extracting #3: cost 7 inf + 0 9.560 * * [simplify]: Extracting #4: cost 10 inf + 0 9.561 * * [simplify]: Extracting #5: cost 13 inf + 1 9.561 * * [simplify]: Extracting #6: cost 14 inf + 2 9.561 * * [simplify]: Extracting #7: cost 9 inf + 249 9.561 * * [simplify]: Extracting #8: cost 5 inf + 736 9.561 * * [simplify]: Extracting #9: cost 1 inf + 1664 9.561 * * [simplify]: Extracting #10: cost 0 inf + 1946 9.562 * [simplify]: Simplified to (* (cbrt (sqrt (+ (+ N (* N N)) 1))) (cbrt (sqrt (+ (+ N (* N N)) 1)))) 9.562 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (+ (+ N (* N N)) 1))) (cbrt (sqrt (+ (+ N (* N N)) 1)))) (* (cbrt (sqrt (+ 1 (* (+ N 1) N)))) (cbrt (sqrt (+ 1 (* (+ N 1) N)))))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.562 * [simplify]: Simplifying (* (cbrt (sqrt (+ 1 (* (+ N 1) N)))) (cbrt (sqrt (+ 1 (* (+ N 1) N))))) 9.562 * * [simplify]: iters left: 6 (8 enodes) 9.564 * * [simplify]: iters left: 5 (29 enodes) 9.569 * * [simplify]: iters left: 4 (38 enodes) 9.574 * * [simplify]: iters left: 3 (40 enodes) 9.579 * * [simplify]: Extracting #0: cost 1 inf + 0 9.579 * * [simplify]: Extracting #1: cost 3 inf + 0 9.579 * * [simplify]: Extracting #2: cost 5 inf + 0 9.579 * * [simplify]: Extracting #3: cost 7 inf + 0 9.579 * * [simplify]: Extracting #4: cost 10 inf + 0 9.579 * * [simplify]: Extracting #5: cost 13 inf + 1 9.579 * * [simplify]: Extracting #6: cost 14 inf + 2 9.580 * * [simplify]: Extracting #7: cost 9 inf + 249 9.580 * * [simplify]: Extracting #8: cost 5 inf + 736 9.580 * * [simplify]: Extracting #9: cost 1 inf + 1664 9.580 * * [simplify]: Extracting #10: cost 0 inf + 1946 9.582 * [simplify]: Simplified to (* (cbrt (sqrt (+ (+ N (* N N)) 1))) (cbrt (sqrt (+ (+ N (* N N)) 1)))) 9.582 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (+ 1 (* (+ N 1) N)))) (cbrt (sqrt (+ 1 (* (+ N 1) N))))) (* (cbrt (sqrt (+ (+ N (* N N)) 1))) (cbrt (sqrt (+ (+ N (* N N)) 1))))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.582 * * * * [progress]: [ 69 / 103 ] simplifiying candidate # 9.582 * [simplify]: Simplifying (* (cbrt (sqrt (+ 1 (* (+ N 1) N)))) (sqrt (cbrt (+ 1 (* (+ N 1) N))))) 9.582 * * [simplify]: iters left: 6 (10 enodes) 9.585 * * [simplify]: iters left: 5 (36 enodes) 9.590 * * [simplify]: iters left: 4 (45 enodes) 9.596 * * [simplify]: iters left: 3 (47 enodes) 9.602 * * [simplify]: Extracting #0: cost 1 inf + 0 9.602 * * [simplify]: Extracting #1: cost 4 inf + 0 9.602 * * [simplify]: Extracting #2: cost 8 inf + 0 9.602 * * [simplify]: Extracting #3: cost 11 inf + 0 9.602 * * [simplify]: Extracting #4: cost 14 inf + 0 9.602 * * [simplify]: Extracting #5: cost 17 inf + 1 9.602 * * [simplify]: Extracting #6: cost 18 inf + 2 9.602 * * [simplify]: Extracting #7: cost 13 inf + 249 9.602 * * [simplify]: Extracting #8: cost 7 inf + 1140 9.603 * * [simplify]: Extracting #9: cost 0 inf + 3074 9.603 * [simplify]: Simplified to (* (cbrt (sqrt (+ (+ N (* N N)) 1))) (sqrt (cbrt (+ (+ N (* N N)) 1)))) 9.603 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (+ (+ N (* N N)) 1))) (sqrt (cbrt (+ (+ N (* N N)) 1)))) (* (cbrt (sqrt (+ 1 (* (+ N 1) N)))) (sqrt (cbrt (+ 1 (* (+ N 1) N)))))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.603 * [simplify]: Simplifying (* (cbrt (sqrt (+ 1 (* (+ N 1) N)))) (sqrt (cbrt (+ 1 (* (+ N 1) N))))) 9.603 * * [simplify]: iters left: 6 (10 enodes) 9.606 * * [simplify]: iters left: 5 (36 enodes) 9.611 * * [simplify]: iters left: 4 (45 enodes) 9.618 * * [simplify]: iters left: 3 (47 enodes) 9.630 * * [simplify]: Extracting #0: cost 1 inf + 0 9.630 * * [simplify]: Extracting #1: cost 4 inf + 0 9.630 * * [simplify]: Extracting #2: cost 8 inf + 0 9.630 * * [simplify]: Extracting #3: cost 11 inf + 0 9.630 * * [simplify]: Extracting #4: cost 14 inf + 0 9.631 * * [simplify]: Extracting #5: cost 17 inf + 1 9.631 * * [simplify]: Extracting #6: cost 18 inf + 2 9.631 * * [simplify]: Extracting #7: cost 13 inf + 249 9.631 * * [simplify]: Extracting #8: cost 7 inf + 1140 9.632 * * [simplify]: Extracting #9: cost 0 inf + 3074 9.633 * [simplify]: Simplified to (* (cbrt (sqrt (+ (+ N (* N N)) 1))) (sqrt (cbrt (+ (+ N (* N N)) 1)))) 9.633 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (* (cbrt (sqrt (+ 1 (* (+ N 1) N)))) (sqrt (cbrt (+ 1 (* (+ N 1) N))))) (* (cbrt (sqrt (+ (+ N (* N N)) 1))) (sqrt (cbrt (+ (+ N (* N N)) 1))))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.633 * * * * [progress]: [ 70 / 103 ] simplifiying candidate # 9.634 * [simplify]: Simplifying (* (sqrt (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (sqrt (+ 1 (* (+ N 1) N))))) 9.634 * * [simplify]: iters left: 6 (10 enodes) 9.638 * * [simplify]: iters left: 5 (36 enodes) 9.643 * * [simplify]: iters left: 4 (45 enodes) 9.650 * * [simplify]: iters left: 3 (47 enodes) 9.656 * * [simplify]: Extracting #0: cost 1 inf + 0 9.657 * * [simplify]: Extracting #1: cost 4 inf + 0 9.657 * * [simplify]: Extracting #2: cost 8 inf + 0 9.657 * * [simplify]: Extracting #3: cost 11 inf + 0 9.657 * * [simplify]: Extracting #4: cost 14 inf + 0 9.657 * * [simplify]: Extracting #5: cost 17 inf + 1 9.657 * * [simplify]: Extracting #6: cost 18 inf + 2 9.657 * * [simplify]: Extracting #7: cost 13 inf + 249 9.657 * * [simplify]: Extracting #8: cost 7 inf + 1100 9.658 * * [simplify]: Extracting #9: cost 0 inf + 3074 9.658 * [simplify]: Simplified to (* (sqrt (cbrt (+ (+ N (* N N)) 1))) (cbrt (sqrt (+ (+ N (* N N)) 1)))) 9.658 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (+ (+ N (* N N)) 1))) (cbrt (sqrt (+ (+ N (* N N)) 1)))) (* (sqrt (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (sqrt (+ 1 (* (+ N 1) N)))))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.658 * [simplify]: Simplifying (* (sqrt (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (sqrt (+ 1 (* (+ N 1) N))))) 9.658 * * [simplify]: iters left: 6 (10 enodes) 9.661 * * [simplify]: iters left: 5 (36 enodes) 9.666 * * [simplify]: iters left: 4 (45 enodes) 9.674 * * [simplify]: iters left: 3 (47 enodes) 9.681 * * [simplify]: Extracting #0: cost 1 inf + 0 9.681 * * [simplify]: Extracting #1: cost 4 inf + 0 9.681 * * [simplify]: Extracting #2: cost 8 inf + 0 9.681 * * [simplify]: Extracting #3: cost 11 inf + 0 9.681 * * [simplify]: Extracting #4: cost 14 inf + 0 9.681 * * [simplify]: Extracting #5: cost 17 inf + 1 9.681 * * [simplify]: Extracting #6: cost 18 inf + 2 9.681 * * [simplify]: Extracting #7: cost 13 inf + 249 9.681 * * [simplify]: Extracting #8: cost 7 inf + 1100 9.682 * * [simplify]: Extracting #9: cost 0 inf + 3074 9.682 * [simplify]: Simplified to (* (sqrt (cbrt (+ (+ N (* N N)) 1))) (cbrt (sqrt (+ (+ N (* N N)) 1)))) 9.682 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (sqrt (+ 1 (* (+ N 1) N))))) (* (sqrt (cbrt (+ (+ N (* N N)) 1))) (cbrt (sqrt (+ (+ N (* N N)) 1))))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.682 * * * * [progress]: [ 71 / 103 ] simplifiying candidate # 9.682 * [simplify]: Simplifying (* (sqrt (cbrt (+ 1 (* (+ N 1) N)))) (sqrt (cbrt (+ 1 (* (+ N 1) N))))) 9.683 * * [simplify]: iters left: 6 (8 enodes) 9.685 * * [simplify]: iters left: 5 (27 enodes) 9.693 * * [simplify]: iters left: 4 (37 enodes) 9.704 * * [simplify]: iters left: 3 (39 enodes) 9.714 * * [simplify]: Extracting #0: cost 1 inf + 0 9.714 * * [simplify]: Extracting #1: cost 4 inf + 0 9.714 * * [simplify]: Extracting #2: cost 8 inf + 0 9.714 * * [simplify]: Extracting #3: cost 11 inf + 1 9.714 * * [simplify]: Extracting #4: cost 11 inf + 43 9.714 * * [simplify]: Extracting #5: cost 7 inf + 249 9.715 * * [simplify]: Extracting #6: cost 3 inf + 776 9.715 * * [simplify]: Extracting #7: cost 0 inf + 1462 9.716 * [simplify]: Simplified to (cbrt (+ (+ N (* N N)) 1)) 9.716 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (cbrt (+ (+ N (* N N)) 1)) (* (sqrt (cbrt (+ 1 (* (+ N 1) N)))) (sqrt (cbrt (+ 1 (* (+ N 1) N)))))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.716 * [simplify]: Simplifying (* (sqrt (cbrt (+ 1 (* (+ N 1) N)))) (sqrt (cbrt (+ 1 (* (+ N 1) N))))) 9.716 * * [simplify]: iters left: 6 (8 enodes) 9.720 * * [simplify]: iters left: 5 (27 enodes) 9.727 * * [simplify]: iters left: 4 (37 enodes) 9.732 * * [simplify]: iters left: 3 (39 enodes) 9.738 * * [simplify]: Extracting #0: cost 1 inf + 0 9.738 * * [simplify]: Extracting #1: cost 4 inf + 0 9.738 * * [simplify]: Extracting #2: cost 8 inf + 0 9.738 * * [simplify]: Extracting #3: cost 11 inf + 1 9.738 * * [simplify]: Extracting #4: cost 11 inf + 43 9.738 * * [simplify]: Extracting #5: cost 7 inf + 249 9.738 * * [simplify]: Extracting #6: cost 3 inf + 776 9.738 * * [simplify]: Extracting #7: cost 0 inf + 1462 9.739 * [simplify]: Simplified to (cbrt (+ (+ N (* N N)) 1)) 9.739 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (* (sqrt (cbrt (+ 1 (* (+ N 1) N)))) (sqrt (cbrt (+ 1 (* (+ N 1) N))))) (cbrt (+ (+ N (* N N)) 1))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.739 * * * * [progress]: [ 72 / 103 ] simplifiying candidate # 9.739 * [simplify]: Simplifying (+ 1 (* (+ N 1) N)) 9.739 * * [simplify]: iters left: 6 (5 enodes) 9.741 * * [simplify]: iters left: 5 (20 enodes) 9.744 * * [simplify]: iters left: 4 (29 enodes) 9.749 * * [simplify]: iters left: 3 (31 enodes) 9.753 * * [simplify]: Extracting #0: cost 1 inf + 0 9.753 * * [simplify]: Extracting #1: cost 4 inf + 0 9.753 * * [simplify]: Extracting #2: cost 7 inf + 1 9.753 * * [simplify]: Extracting #3: cost 2 inf + 493 9.754 * * [simplify]: Extracting #4: cost 0 inf + 574 9.754 * [simplify]: Simplified to (+ (* (+ N 1) N) 1) 9.754 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (pow (+ (* (+ N 1) N) 1) (* 2 1/3)) (cbrt (+ 1 (* (+ N 1) N)))))) 9.754 * [simplify]: Simplifying (* 2 1/3) 9.755 * * [simplify]: iters left: 2 (3 enodes) 9.759 * * [simplify]: iters left: 1 (11 enodes) 9.762 * * [simplify]: Extracting #0: cost 1 inf + 0 9.762 * * [simplify]: Extracting #1: cost 0 inf + 1 9.762 * [simplify]: Simplified to 2/3 9.762 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (pow (+ 1 (* (+ N 1) N)) 2/3) (cbrt (+ 1 (* (+ N 1) N)))))) 9.763 * * * * [progress]: [ 73 / 103 ] simplifiying candidate # 9.763 * [simplify]: Simplifying (cbrt (+ 1 (* (+ N 1) N))) 9.763 * * [simplify]: iters left: 6 (6 enodes) 9.768 * * [simplify]: iters left: 5 (23 enodes) 9.774 * * [simplify]: iters left: 4 (32 enodes) 9.779 * * [simplify]: iters left: 3 (34 enodes) 9.785 * * [simplify]: Extracting #0: cost 1 inf + 0 9.785 * * [simplify]: Extracting #1: cost 3 inf + 0 9.785 * * [simplify]: Extracting #2: cost 6 inf + 0 9.785 * * [simplify]: Extracting #3: cost 9 inf + 1 9.785 * * [simplify]: Extracting #4: cost 9 inf + 43 9.785 * * [simplify]: Extracting #5: cost 1 inf + 776 9.785 * * [simplify]: Extracting #6: cost 0 inf + 978 9.785 * [simplify]: Simplified to (cbrt (+ (+ N (* N N)) 1)) 9.786 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (pow (cbrt (+ (+ N (* N N)) 1)) (* 2 1)) (cbrt (+ 1 (* (+ N 1) N)))))) 9.786 * [simplify]: Simplifying (* 2 1) 9.786 * * [simplify]: iters left: 2 (3 enodes) 9.787 * * [simplify]: iters left: 1 (9 enodes) 9.789 * * [simplify]: Extracting #0: cost 1 inf + 0 9.789 * * [simplify]: Extracting #1: cost 0 inf + 1 9.789 * [simplify]: Simplified to 2 9.789 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (pow (cbrt (+ 1 (* (+ N 1) N))) 2) (cbrt (+ 1 (* (+ N 1) N)))))) 9.789 * * * * [progress]: [ 74 / 103 ] simplifiying candidate # 9.790 * [simplify]: Simplifying (cbrt (cbrt (+ 1 (* (+ N 1) N)))) 9.790 * * [simplify]: iters left: 6 (7 enodes) 9.791 * * [simplify]: iters left: 5 (26 enodes) 9.795 * * [simplify]: iters left: 4 (35 enodes) 9.800 * * [simplify]: iters left: 3 (37 enodes) 9.805 * * [simplify]: Extracting #0: cost 1 inf + 0 9.805 * * [simplify]: Extracting #1: cost 3 inf + 0 9.805 * * [simplify]: Extracting #2: cost 5 inf + 0 9.805 * * [simplify]: Extracting #3: cost 8 inf + 0 9.805 * * [simplify]: Extracting #4: cost 11 inf + 1 9.805 * * [simplify]: Extracting #5: cost 8 inf + 249 9.805 * * [simplify]: Extracting #6: cost 3 inf + 776 9.806 * * [simplify]: Extracting #7: cost 1 inf + 1260 9.806 * * [simplify]: Extracting #8: cost 0 inf + 1542 9.806 * [simplify]: Simplified to (cbrt (cbrt (+ (* (+ N 1) N) 1))) 9.806 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N)))))) (cbrt (cbrt (+ (* (+ N 1) N) 1)))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.807 * * * * [progress]: [ 75 / 103 ] simplifiying candidate # 9.807 * [simplify]: Simplifying (cbrt (sqrt (+ 1 (* (+ N 1) N)))) 9.807 * * [simplify]: iters left: 6 (7 enodes) 9.809 * * [simplify]: iters left: 5 (26 enodes) 9.813 * * [simplify]: iters left: 4 (35 enodes) 9.822 * * [simplify]: iters left: 3 (37 enodes) 9.827 * * [simplify]: Extracting #0: cost 1 inf + 0 9.827 * * [simplify]: Extracting #1: cost 3 inf + 0 9.827 * * [simplify]: Extracting #2: cost 5 inf + 0 9.827 * * [simplify]: Extracting #3: cost 8 inf + 0 9.827 * * [simplify]: Extracting #4: cost 11 inf + 1 9.827 * * [simplify]: Extracting #5: cost 8 inf + 249 9.827 * * [simplify]: Extracting #6: cost 3 inf + 736 9.827 * * [simplify]: Extracting #7: cost 1 inf + 1140 9.828 * * [simplify]: Extracting #8: cost 0 inf + 1382 9.828 * [simplify]: Simplified to (cbrt (sqrt (+ (* (+ N 1) N) 1))) 9.828 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (sqrt (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (+ (* (+ N 1) N) 1)))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.828 * * * * [progress]: [ 76 / 103 ] simplifiying candidate # 9.828 * [simplify]: Simplifying (cbrt (+ 1 (* (+ N 1) N))) 9.828 * * [simplify]: iters left: 6 (6 enodes) 9.830 * * [simplify]: iters left: 5 (23 enodes) 9.833 * * [simplify]: iters left: 4 (32 enodes) 9.838 * * [simplify]: iters left: 3 (34 enodes) 9.842 * * [simplify]: Extracting #0: cost 1 inf + 0 9.842 * * [simplify]: Extracting #1: cost 3 inf + 0 9.843 * * [simplify]: Extracting #2: cost 6 inf + 0 9.843 * * [simplify]: Extracting #3: cost 9 inf + 1 9.843 * * [simplify]: Extracting #4: cost 9 inf + 43 9.843 * * [simplify]: Extracting #5: cost 1 inf + 776 9.843 * * [simplify]: Extracting #6: cost 0 inf + 978 9.843 * [simplify]: Simplified to (cbrt (+ (+ N (* N N)) 1)) 9.843 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt 1)) (cbrt (+ (+ N (* N N)) 1))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.843 * * * * [progress]: [ 77 / 103 ] simplifiying candidate # 9.844 * [simplify]: Simplifying (cbrt (cbrt (+ 1 (* (+ N 1) N)))) 9.844 * * [simplify]: iters left: 6 (7 enodes) 9.845 * * [simplify]: iters left: 5 (26 enodes) 9.850 * * [simplify]: iters left: 4 (35 enodes) 9.855 * * [simplify]: iters left: 3 (37 enodes) 9.860 * * [simplify]: Extracting #0: cost 1 inf + 0 9.860 * * [simplify]: Extracting #1: cost 3 inf + 0 9.860 * * [simplify]: Extracting #2: cost 5 inf + 0 9.860 * * [simplify]: Extracting #3: cost 8 inf + 0 9.860 * * [simplify]: Extracting #4: cost 11 inf + 1 9.860 * * [simplify]: Extracting #5: cost 8 inf + 249 9.860 * * [simplify]: Extracting #6: cost 3 inf + 776 9.860 * * [simplify]: Extracting #7: cost 1 inf + 1260 9.861 * * [simplify]: Extracting #8: cost 0 inf + 1542 9.861 * [simplify]: Simplified to (cbrt (cbrt (+ (* (+ N 1) N) 1))) 9.861 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (* (cbrt (+ 1 (* (+ N 1) N))) (* (cbrt (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (cbrt (+ 1 (* (+ N 1) N)))))) (cbrt (cbrt (+ (* (+ N 1) N) 1)))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.861 * * * * [progress]: [ 78 / 103 ] simplifiying candidate # 9.861 * [simplify]: Simplifying (sqrt (cbrt (+ 1 (* (+ N 1) N)))) 9.861 * * [simplify]: iters left: 6 (7 enodes) 9.863 * * [simplify]: iters left: 5 (26 enodes) 9.867 * * [simplify]: iters left: 4 (35 enodes) 9.874 * * [simplify]: iters left: 3 (37 enodes) 9.884 * * [simplify]: Extracting #0: cost 1 inf + 0 9.884 * * [simplify]: Extracting #1: cost 3 inf + 0 9.884 * * [simplify]: Extracting #2: cost 5 inf + 0 9.884 * * [simplify]: Extracting #3: cost 8 inf + 0 9.884 * * [simplify]: Extracting #4: cost 11 inf + 1 9.884 * * [simplify]: Extracting #5: cost 8 inf + 249 9.884 * * [simplify]: Extracting #6: cost 3 inf + 776 9.885 * * [simplify]: Extracting #7: cost 1 inf + 1220 9.886 * * [simplify]: Extracting #8: cost 0 inf + 1462 9.886 * [simplify]: Simplified to (sqrt (cbrt (+ (* (+ N 1) N) 1))) 9.887 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (* (cbrt (+ 1 (* (+ N 1) N))) (sqrt (cbrt (+ 1 (* (+ N 1) N))))) (sqrt (cbrt (+ (* (+ N 1) N) 1)))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.887 * * * * [progress]: [ 79 / 103 ] simplifiying candidate # 9.887 * [simplify]: Simplifying (cbrt (+ 1 (* (+ N 1) N))) 9.887 * * [simplify]: iters left: 6 (6 enodes) 9.890 * * [simplify]: iters left: 5 (23 enodes) 9.895 * * [simplify]: iters left: 4 (32 enodes) 9.900 * * [simplify]: iters left: 3 (34 enodes) 9.904 * * [simplify]: Extracting #0: cost 1 inf + 0 9.904 * * [simplify]: Extracting #1: cost 3 inf + 0 9.904 * * [simplify]: Extracting #2: cost 6 inf + 0 9.904 * * [simplify]: Extracting #3: cost 9 inf + 1 9.904 * * [simplify]: Extracting #4: cost 9 inf + 43 9.904 * * [simplify]: Extracting #5: cost 1 inf + 776 9.905 * * [simplify]: Extracting #6: cost 0 inf + 978 9.905 * [simplify]: Simplified to (cbrt (+ (+ N (* N N)) 1)) 9.905 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (* (cbrt (+ 1 (* (+ N 1) N))) 1) (cbrt (+ (+ N (* N N)) 1))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.905 * * * * [progress]: [ 80 / 103 ] simplifiying candidate # 9.905 * [simplify]: Simplifying (cbrt (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N))))) 9.905 * * [simplify]: iters left: 6 (8 enodes) 9.908 * * [simplify]: iters left: 5 (29 enodes) 9.912 * * [simplify]: iters left: 4 (38 enodes) 9.918 * * [simplify]: iters left: 3 (40 enodes) 9.923 * * [simplify]: Extracting #0: cost 1 inf + 0 9.923 * * [simplify]: Extracting #1: cost 3 inf + 0 9.923 * * [simplify]: Extracting #2: cost 5 inf + 0 9.923 * * [simplify]: Extracting #3: cost 7 inf + 0 9.923 * * [simplify]: Extracting #4: cost 10 inf + 0 9.923 * * [simplify]: Extracting #5: cost 13 inf + 1 9.923 * * [simplify]: Extracting #6: cost 14 inf + 2 9.923 * * [simplify]: Extracting #7: cost 9 inf + 249 9.923 * * [simplify]: Extracting #8: cost 5 inf + 776 9.924 * * [simplify]: Extracting #9: cost 1 inf + 1784 9.924 * * [simplify]: Extracting #10: cost 0 inf + 2106 9.924 * [simplify]: Simplified to (cbrt (* (cbrt (+ (+ N (* N N)) 1)) (cbrt (+ (+ N (* N N)) 1)))) 9.925 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (cbrt (* (cbrt (+ (+ N (* N N)) 1)) (cbrt (+ (+ N (* N N)) 1)))) (* (cbrt (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (+ 1 (* (+ N 1) N))))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.925 * * * * [progress]: [ 81 / 103 ] simplifiying candidate # 9.925 * [simplify]: Simplifying (cbrt (sqrt (+ 1 (* (+ N 1) N)))) 9.925 * * [simplify]: iters left: 6 (7 enodes) 9.929 * * [simplify]: iters left: 5 (26 enodes) 9.933 * * [simplify]: iters left: 4 (35 enodes) 9.938 * * [simplify]: iters left: 3 (37 enodes) 9.943 * * [simplify]: Extracting #0: cost 1 inf + 0 9.943 * * [simplify]: Extracting #1: cost 3 inf + 0 9.943 * * [simplify]: Extracting #2: cost 5 inf + 0 9.943 * * [simplify]: Extracting #3: cost 8 inf + 0 9.943 * * [simplify]: Extracting #4: cost 11 inf + 1 9.943 * * [simplify]: Extracting #5: cost 8 inf + 249 9.943 * * [simplify]: Extracting #6: cost 3 inf + 736 9.943 * * [simplify]: Extracting #7: cost 1 inf + 1140 9.943 * * [simplify]: Extracting #8: cost 0 inf + 1382 9.944 * [simplify]: Simplified to (cbrt (sqrt (+ (* (+ N 1) N) 1))) 9.944 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (cbrt (sqrt (+ (* (+ N 1) N) 1))) (* (cbrt (sqrt (+ 1 (* (+ N 1) N)))) (cbrt (+ 1 (* (+ N 1) N))))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.944 * * * * [progress]: [ 82 / 103 ] simplifiying candidate # 9.944 * [simplify]: Simplifying (cbrt 1) 9.944 * * [simplify]: iters left: 1 (2 enodes) 9.946 * * [simplify]: Extracting #0: cost 1 inf + 0 9.946 * * [simplify]: Extracting #1: cost 0 inf + 1 9.946 * [simplify]: Simplified to 1 9.946 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* 1 (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N))))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.946 * * * * [progress]: [ 83 / 103 ] simplifiying candidate # 9.946 * [simplify]: Simplifying (* (cbrt (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (cbrt (+ 1 (* (+ N 1) N))))) 9.946 * * [simplify]: iters left: 6 (8 enodes) 9.948 * * [simplify]: iters left: 5 (29 enodes) 9.954 * * [simplify]: iters left: 4 (38 enodes) 9.966 * * [simplify]: iters left: 3 (40 enodes) 9.979 * * [simplify]: Extracting #0: cost 1 inf + 0 9.979 * * [simplify]: Extracting #1: cost 3 inf + 0 9.979 * * [simplify]: Extracting #2: cost 5 inf + 0 9.979 * * [simplify]: Extracting #3: cost 7 inf + 0 9.979 * * [simplify]: Extracting #4: cost 10 inf + 0 9.979 * * [simplify]: Extracting #5: cost 13 inf + 1 9.980 * * [simplify]: Extracting #6: cost 14 inf + 2 9.980 * * [simplify]: Extracting #7: cost 9 inf + 249 9.980 * * [simplify]: Extracting #8: cost 5 inf + 776 9.981 * * [simplify]: Extracting #9: cost 1 inf + 1864 9.982 * * [simplify]: Extracting #10: cost 0 inf + 2186 9.982 * [simplify]: Simplified to (* (cbrt (cbrt (+ (+ N (* N N)) 1))) (cbrt (cbrt (+ (+ N (* N N)) 1)))) 9.982 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (* (cbrt (cbrt (+ (+ N (* N N)) 1))) (cbrt (cbrt (+ (+ N (* N N)) 1)))) (* (cbrt (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (+ 1 (* (+ N 1) N))))) (cbrt (+ 1 (* (+ N 1) N)))))) 9.982 * * * * [progress]: [ 84 / 103 ] simplifiying candidate # 9.983 * [simplify]: Simplifying (sqrt (cbrt (+ 1 (* (+ N 1) N)))) 9.983 * * [simplify]: iters left: 6 (7 enodes) 9.985 * * [simplify]: iters left: 5 (26 enodes) 9.990 * * [simplify]: iters left: 4 (35 enodes) 9.995 * * [simplify]: iters left: 3 (37 enodes) 9.999 * * [simplify]: Extracting #0: cost 1 inf + 0 9.999 * * [simplify]: Extracting #1: cost 3 inf + 0 9.999 * * [simplify]: Extracting #2: cost 5 inf + 0 9.999 * * [simplify]: Extracting #3: cost 8 inf + 0 9.999 * * [simplify]: Extracting #4: cost 11 inf + 1 9.999 * * [simplify]: Extracting #5: cost 8 inf + 249 10.000 * * [simplify]: Extracting #6: cost 3 inf + 776 10.000 * * [simplify]: Extracting #7: cost 1 inf + 1220 10.000 * * [simplify]: Extracting #8: cost 0 inf + 1462 10.000 * [simplify]: Simplified to (sqrt (cbrt (+ (* (+ N 1) N) 1))) 10.000 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (sqrt (cbrt (+ (* (+ N 1) N) 1))) (* (sqrt (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (+ 1 (* (+ N 1) N))))) (cbrt (+ 1 (* (+ N 1) N)))))) 10.000 * * * * [progress]: [ 85 / 103 ] simplifiying candidate # 10.001 * * * * [progress]: [ 86 / 103 ] simplifiying candidate # 10.001 * [simplify]: Simplifying (cbrt (+ (* 1 1) (- (* (* (+ N 1) N) (* (+ N 1) N)) (* 1 (* (+ N 1) N))))) 10.001 * * [simplify]: iters left: 6 (10 enodes) 10.004 * * [simplify]: iters left: 5 (48 enodes) 10.015 * * [simplify]: iters left: 4 (131 enodes) 10.050 * * [simplify]: iters left: 3 (268 enodes) 10.171 * * [simplify]: Extracting #0: cost 1 inf + 0 10.171 * * [simplify]: Extracting #1: cost 3 inf + 0 10.171 * * [simplify]: Extracting #2: cost 24 inf + 0 10.171 * * [simplify]: Extracting #3: cost 71 inf + 44 10.172 * * [simplify]: Extracting #4: cost 72 inf + 4467 10.175 * * [simplify]: Extracting #5: cost 37 inf + 11749 10.182 * * [simplify]: Extracting #6: cost 0 inf + 17292 10.187 * * [simplify]: Extracting #7: cost 0 inf + 17091 10.195 * [simplify]: Simplified to (cbrt (- (- (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) -1)) 10.195 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (/ (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ (pow 1 3) (pow (* (+ N 1) N) 3)))) (cbrt (- (- (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N)) -1))) (cbrt (+ 1 (* (+ N 1) N)))))) 10.195 * * * * [progress]: [ 87 / 103 ] simplifiying candidate # 10.196 * [simplify]: Simplifying (cbrt (- 1 (* (+ N 1) N))) 10.196 * * [simplify]: iters left: 6 (6 enodes) 10.198 * * [simplify]: iters left: 5 (24 enodes) 10.202 * * [simplify]: iters left: 4 (42 enodes) 10.209 * * [simplify]: iters left: 3 (60 enodes) 10.222 * * [simplify]: iters left: 2 (65 enodes) 10.230 * * [simplify]: iters left: 1 (78 enodes) 10.244 * * [simplify]: Extracting #0: cost 1 inf + 0 10.244 * * [simplify]: Extracting #1: cost 3 inf + 0 10.244 * * [simplify]: Extracting #2: cost 15 inf + 0 10.244 * * [simplify]: Extracting #3: cost 25 inf + 165 10.244 * * [simplify]: Extracting #4: cost 9 inf + 1917 10.245 * * [simplify]: Extracting #5: cost 2 inf + 2609 10.245 * * [simplify]: Extracting #6: cost 0 inf + 2693 10.246 * [simplify]: Simplified to (cbrt (- 1 (+ N (* N N)))) 10.246 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (/ (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (- (* 1 1) (* (* (+ N 1) N) (* (+ N 1) N))))) (cbrt (- 1 (+ N (* N N))))) (cbrt (+ 1 (* (+ N 1) N)))))) 10.246 * * * * [progress]: [ 88 / 103 ] simplifiying candidate # 10.246 * [simplify]: Simplifying (* (cbrt (+ (pow 1 3) (pow (* (+ N 1) N) 3))) (cbrt (+ 1 (* (+ N 1) N)))) 10.247 * * [simplify]: iters left: 6 (12 enodes) 10.251 * * [simplify]: iters left: 5 (54 enodes) 10.269 * * [simplify]: iters left: 4 (111 enodes) 10.300 * * [simplify]: iters left: 3 (250 enodes) 10.399 * * [simplify]: iters left: 2 (467 enodes) 10.668 * * [simplify]: Extracting #0: cost 1 inf + 0 10.668 * * [simplify]: Extracting #1: cost 4 inf + 0 10.668 * * [simplify]: Extracting #2: cost 8 inf + 0 10.668 * * [simplify]: Extracting #3: cost 13 inf + 0 10.668 * * [simplify]: Extracting #4: cost 83 inf + 1 10.669 * * [simplify]: Extracting #5: cost 216 inf + 940 10.672 * * [simplify]: Extracting #6: cost 160 inf + 13609 10.679 * * [simplify]: Extracting #7: cost 52 inf + 53232 10.698 * * [simplify]: Extracting #8: cost 1 inf + 81693 10.708 * * [simplify]: Extracting #9: cost 0 inf + 81445 10.718 * [simplify]: Simplified to (* (cbrt (+ 1 (* (* (+ N 1) (* N (+ N 1))) (* N (* N (+ N 1)))))) (cbrt (+ (* N (+ N 1)) 1))) 10.718 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (/ (* (cbrt (+ 1 (* (* (+ N 1) (* N (+ N 1))) (* N (* N (+ N 1)))))) (cbrt (+ (* N (+ N 1)) 1))) (cbrt (+ (* 1 1) (- (* (* (+ N 1) N) (* (+ N 1) N)) (* 1 (* (+ N 1) N)))))) (cbrt (+ 1 (* (+ N 1) N)))))) 10.718 * * * * [progress]: [ 89 / 103 ] simplifiying candidate # 10.719 * [simplify]: Simplifying (* (cbrt (- (* 1 1) (* (* (+ N 1) N) (* (+ N 1) N)))) (cbrt (+ 1 (* (+ N 1) N)))) 10.719 * * [simplify]: iters left: 6 (11 enodes) 10.722 * * [simplify]: iters left: 5 (46 enodes) 10.732 * * [simplify]: iters left: 4 (104 enodes) 10.772 * * [simplify]: iters left: 3 (178 enodes) 10.822 * * [simplify]: iters left: 2 (313 enodes) 10.973 * * [simplify]: Extracting #0: cost 1 inf + 0 10.973 * * [simplify]: Extracting #1: cost 4 inf + 0 10.973 * * [simplify]: Extracting #2: cost 8 inf + 0 10.973 * * [simplify]: Extracting #3: cost 25 inf + 0 10.973 * * [simplify]: Extracting #4: cost 50 inf + 651 10.975 * * [simplify]: Extracting #5: cost 59 inf + 4780 10.978 * * [simplify]: Extracting #6: cost 11 inf + 13815 10.982 * * [simplify]: Extracting #7: cost 0 inf + 15200 10.986 * [simplify]: Simplified to (* (cbrt (+ 1 (+ (* N N) N))) (cbrt (- 1 (* (+ (* N N) N) (+ (* N N) N))))) 10.986 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (/ (* (cbrt (+ 1 (+ (* N N) N))) (cbrt (- 1 (* (+ (* N N) N) (+ (* N N) N))))) (cbrt (- 1 (* (+ N 1) N)))) (cbrt (+ 1 (* (+ N 1) N)))))) 10.986 * * * * [progress]: [ 90 / 103 ] simplifiying candidate #real (real->posit16 (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N)))))) (cbrt (+ 1 (* (+ N 1) N))))))> 10.986 * * * * [progress]: [ 91 / 103 ] simplifiying candidate # 10.986 * * * * [progress]: [ 92 / 103 ] simplifiying candidate # 10.987 * [simplify]: Simplifying (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) 10.987 * * [simplify]: iters left: 6 (10 enodes) 10.990 * * [simplify]: iters left: 5 (42 enodes) 10.998 * * [simplify]: iters left: 4 (56 enodes) 11.010 * * [simplify]: iters left: 3 (74 enodes) 11.024 * * [simplify]: iters left: 2 (88 enodes) 11.035 * * [simplify]: Extracting #0: cost 1 inf + 0 11.035 * * [simplify]: Extracting #1: cost 8 inf + 0 11.035 * * [simplify]: Extracting #2: cost 18 inf + 1 11.035 * * [simplify]: Extracting #3: cost 18 inf + 45 11.035 * * [simplify]: Extracting #4: cost 2 inf + 1404 11.036 * * [simplify]: Extracting #5: cost 0 inf + 1611 11.036 * * [simplify]: Extracting #6: cost 0 inf + 1571 11.037 * [simplify]: Simplified to (+ 1 (* N (+ (* 2/9 N) 1/3))) 11.037 * [simplify]: Simplified (2 2 2) to (λ (N) (atan2 1 (* (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N)))) (+ 1 (* N (+ (* 2/9 N) 1/3)))))) 11.037 * * * * [progress]: [ 93 / 103 ] simplifiying candidate # 11.037 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 11.037 * * [simplify]: iters left: 6 (16 enodes) 11.042 * * [simplify]: iters left: 5 (72 enodes) 11.061 * * [simplify]: iters left: 4 (137 enodes) 11.094 * * [simplify]: iters left: 3 (254 enodes) 11.151 * * [simplify]: iters left: 2 (463 enodes) 11.296 * * [simplify]: Extracting #0: cost 1 inf + 0 11.296 * * [simplify]: Extracting #1: cost 8 inf + 0 11.296 * * [simplify]: Extracting #2: cost 68 inf + 0 11.297 * * [simplify]: Extracting #3: cost 185 inf + 4 11.299 * * [simplify]: Extracting #4: cost 169 inf + 3156 11.304 * * [simplify]: Extracting #5: cost 128 inf + 20505 11.315 * * [simplify]: Extracting #6: cost 43 inf + 64711 11.325 * * [simplify]: Extracting #7: cost 8 inf + 89376 11.336 * * [simplify]: Extracting #8: cost 0 inf + 90835 11.346 * * [simplify]: Extracting #9: cost 0 inf + 88544 11.356 * * [simplify]: Extracting #10: cost 0 inf + 88151 11.374 * [simplify]: Simplified to (+ (* (cbrt (/ 1 N)) 1/3) (+ (* (cbrt (/ 1 (* (* N N) (* N N)))) 2/9) (pow (/ 1 N) -2/3))) 11.375 * [simplify]: Simplified (2 2 2) to (λ (N) (atan2 1 (* (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N)))) (+ (* (cbrt (/ 1 N)) 1/3) (+ (* (cbrt (/ 1 (* (* N N) (* N N)))) 2/9) (pow (/ 1 N) -2/3)))))) 11.375 * * * * [progress]: [ 94 / 103 ] simplifiying candidate # 11.375 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 11.376 * * [simplify]: iters left: 6 (18 enodes) 11.385 * * [simplify]: iters left: 5 (78 enodes) 11.401 * * [simplify]: iters left: 4 (143 enodes) 11.436 * * [simplify]: iters left: 3 (260 enodes) 11.509 * * [simplify]: iters left: 2 (495 enodes) 11.643 * * [simplify]: Extracting #0: cost 1 inf + 0 11.643 * * [simplify]: Extracting #1: cost 8 inf + 0 11.643 * * [simplify]: Extracting #2: cost 67 inf + 0 11.643 * * [simplify]: Extracting #3: cost 189 inf + 4 11.644 * * [simplify]: Extracting #4: cost 188 inf + 309 11.645 * * [simplify]: Extracting #5: cost 163 inf + 6243 11.651 * * [simplify]: Extracting #6: cost 61 inf + 53326 11.661 * * [simplify]: Extracting #7: cost 2 inf + 89774 11.671 * * [simplify]: Extracting #8: cost 0 inf + 90670 11.682 * * [simplify]: Extracting #9: cost 0 inf + 90408 11.697 * [simplify]: Simplified to (+ (+ (* (cbrt (/ 1 N)) 1/3) (pow (/ -1 N) -2/3)) (* (cbrt (/ 1 (* (* N N) (* N N)))) 2/9)) 11.697 * [simplify]: Simplified (2 2 2) to (λ (N) (atan2 1 (* (* (cbrt (+ 1 (* (+ N 1) N))) (cbrt (+ 1 (* (+ N 1) N)))) (+ (+ (* (cbrt (/ 1 N)) 1/3) (pow (/ -1 N) -2/3)) (* (cbrt (/ 1 (* (* N N) (* N N)))) 2/9))))) 11.697 * * * * [progress]: [ 95 / 103 ] simplifiying candidate # 11.698 * [simplify]: Simplifying (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) 11.698 * * [simplify]: iters left: 6 (10 enodes) 11.704 * * [simplify]: iters left: 5 (42 enodes) 11.716 * * [simplify]: iters left: 4 (56 enodes) 11.728 * * [simplify]: iters left: 3 (74 enodes) 11.738 * * [simplify]: iters left: 2 (88 enodes) 11.756 * * [simplify]: Extracting #0: cost 1 inf + 0 11.757 * * [simplify]: Extracting #1: cost 8 inf + 0 11.757 * * [simplify]: Extracting #2: cost 18 inf + 1 11.757 * * [simplify]: Extracting #3: cost 18 inf + 45 11.757 * * [simplify]: Extracting #4: cost 2 inf + 1404 11.758 * * [simplify]: Extracting #5: cost 0 inf + 1611 11.758 * * [simplify]: Extracting #6: cost 0 inf + 1571 11.758 * [simplify]: Simplified to (+ 1 (* N (+ (* 2/9 N) 1/3))) 11.758 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (cbrt (+ 1 (* (+ N 1) N))) (+ 1 (* N (+ (* 2/9 N) 1/3)))) (cbrt (+ 1 (* (+ N 1) N)))))) 11.759 * * * * [progress]: [ 96 / 103 ] simplifiying candidate # 11.759 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 11.759 * * [simplify]: iters left: 6 (16 enodes) 11.765 * * [simplify]: iters left: 5 (72 enodes) 11.780 * * [simplify]: iters left: 4 (137 enodes) 11.816 * * [simplify]: iters left: 3 (254 enodes) 11.878 * * [simplify]: iters left: 2 (463 enodes) 12.020 * * [simplify]: Extracting #0: cost 1 inf + 0 12.020 * * [simplify]: Extracting #1: cost 8 inf + 0 12.020 * * [simplify]: Extracting #2: cost 68 inf + 0 12.021 * * [simplify]: Extracting #3: cost 185 inf + 4 12.022 * * [simplify]: Extracting #4: cost 169 inf + 3156 12.024 * * [simplify]: Extracting #5: cost 128 inf + 20505 12.029 * * [simplify]: Extracting #6: cost 43 inf + 64711 12.039 * * [simplify]: Extracting #7: cost 8 inf + 89376 12.050 * * [simplify]: Extracting #8: cost 0 inf + 90835 12.060 * * [simplify]: Extracting #9: cost 0 inf + 88544 12.073 * * [simplify]: Extracting #10: cost 0 inf + 88151 12.097 * [simplify]: Simplified to (+ (* (cbrt (/ 1 N)) 1/3) (+ (* (cbrt (/ 1 (* (* N N) (* N N)))) 2/9) (pow (/ 1 N) -2/3))) 12.097 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (cbrt (+ 1 (* (+ N 1) N))) (+ (* (cbrt (/ 1 N)) 1/3) (+ (* (cbrt (/ 1 (* (* N N) (* N N)))) 2/9) (pow (/ 1 N) -2/3)))) (cbrt (+ 1 (* (+ N 1) N)))))) 12.097 * * * * [progress]: [ 97 / 103 ] simplifiying candidate # 12.097 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 12.098 * * [simplify]: iters left: 6 (18 enodes) 12.110 * * [simplify]: iters left: 5 (78 enodes) 12.128 * * [simplify]: iters left: 4 (143 enodes) 12.161 * * [simplify]: iters left: 3 (260 enodes) 12.230 * * [simplify]: iters left: 2 (495 enodes) 12.379 * * [simplify]: Extracting #0: cost 1 inf + 0 12.379 * * [simplify]: Extracting #1: cost 8 inf + 0 12.379 * * [simplify]: Extracting #2: cost 67 inf + 0 12.380 * * [simplify]: Extracting #3: cost 189 inf + 4 12.381 * * [simplify]: Extracting #4: cost 188 inf + 309 12.384 * * [simplify]: Extracting #5: cost 163 inf + 6243 12.391 * * [simplify]: Extracting #6: cost 61 inf + 53326 12.402 * * [simplify]: Extracting #7: cost 2 inf + 89774 12.414 * * [simplify]: Extracting #8: cost 0 inf + 90670 12.432 * * [simplify]: Extracting #9: cost 0 inf + 90408 12.443 * [simplify]: Simplified to (+ (+ (* (cbrt (/ 1 N)) 1/3) (pow (/ -1 N) -2/3)) (* (cbrt (/ 1 (* (* N N) (* N N)))) 2/9)) 12.443 * [simplify]: Simplified (2 2 1 2) to (λ (N) (atan2 1 (* (* (cbrt (+ 1 (* (+ N 1) N))) (+ (+ (* (cbrt (/ 1 N)) 1/3) (pow (/ -1 N) -2/3)) (* (cbrt (/ 1 (* (* N N) (* N N)))) 2/9))) (cbrt (+ 1 (* (+ N 1) N)))))) 12.443 * * * * [progress]: [ 98 / 103 ] simplifiying candidate # 12.444 * [simplify]: Simplifying (+ (* 1/3 N) (+ (* 2/9 (pow N 2)) 1)) 12.444 * * [simplify]: iters left: 6 (10 enodes) 12.448 * * [simplify]: iters left: 5 (42 enodes) 12.455 * * [simplify]: iters left: 4 (56 enodes) 12.472 * * [simplify]: iters left: 3 (74 enodes) 12.489 * * [simplify]: iters left: 2 (88 enodes) 12.500 * * [simplify]: Extracting #0: cost 1 inf + 0 12.500 * * [simplify]: Extracting #1: cost 8 inf + 0 12.501 * * [simplify]: Extracting #2: cost 18 inf + 1 12.501 * * [simplify]: Extracting #3: cost 18 inf + 45 12.501 * * [simplify]: Extracting #4: cost 2 inf + 1404 12.501 * * [simplify]: Extracting #5: cost 0 inf + 1611 12.502 * * [simplify]: Extracting #6: cost 0 inf + 1571 12.502 * [simplify]: Simplified to (+ 1 (* N (+ (* 2/9 N) 1/3))) 12.502 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (+ 1 (* N (+ (* 2/9 N) 1/3))) (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (+ 1 (* (+ N 1) N)))))) 12.503 * * * * [progress]: [ 99 / 103 ] simplifiying candidate # 12.503 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ 1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 12.503 * * [simplify]: iters left: 6 (16 enodes) 12.509 * * [simplify]: iters left: 5 (72 enodes) 12.540 * * [simplify]: iters left: 4 (137 enodes) 12.571 * * [simplify]: iters left: 3 (254 enodes) 12.639 * * [simplify]: iters left: 2 (463 enodes) 12.775 * * [simplify]: Extracting #0: cost 1 inf + 0 12.775 * * [simplify]: Extracting #1: cost 8 inf + 0 12.775 * * [simplify]: Extracting #2: cost 68 inf + 0 12.775 * * [simplify]: Extracting #3: cost 185 inf + 4 12.776 * * [simplify]: Extracting #4: cost 169 inf + 3156 12.778 * * [simplify]: Extracting #5: cost 128 inf + 20505 12.788 * * [simplify]: Extracting #6: cost 43 inf + 64711 12.806 * * [simplify]: Extracting #7: cost 8 inf + 89376 12.816 * * [simplify]: Extracting #8: cost 0 inf + 90835 12.826 * * [simplify]: Extracting #9: cost 0 inf + 88544 12.839 * * [simplify]: Extracting #10: cost 0 inf + 88151 12.850 * [simplify]: Simplified to (+ (* (cbrt (/ 1 N)) 1/3) (+ (* (cbrt (/ 1 (* (* N N) (* N N)))) 2/9) (pow (/ 1 N) -2/3))) 12.850 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (+ (* (cbrt (/ 1 N)) 1/3) (+ (* (cbrt (/ 1 (* (* N N) (* N N)))) 2/9) (pow (/ 1 N) -2/3))) (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (+ 1 (* (+ N 1) N)))))) 12.850 * * * * [progress]: [ 100 / 103 ] simplifiying candidate # 12.850 * [simplify]: Simplifying (+ (* 1/3 (pow (/ 1 N) 1/3)) (+ (pow (/ -1 N) -2/3) (* 2/9 (pow (/ 1 (pow N 4)) 1/3)))) 12.850 * * [simplify]: iters left: 6 (18 enodes) 12.860 * * [simplify]: iters left: 5 (78 enodes) 12.880 * * [simplify]: iters left: 4 (143 enodes) 12.912 * * [simplify]: iters left: 3 (260 enodes) 12.987 * * [simplify]: iters left: 2 (495 enodes) 13.114 * * [simplify]: Extracting #0: cost 1 inf + 0 13.115 * * [simplify]: Extracting #1: cost 8 inf + 0 13.115 * * [simplify]: Extracting #2: cost 67 inf + 0 13.115 * * [simplify]: Extracting #3: cost 189 inf + 4 13.116 * * [simplify]: Extracting #4: cost 188 inf + 309 13.118 * * [simplify]: Extracting #5: cost 163 inf + 6243 13.126 * * [simplify]: Extracting #6: cost 61 inf + 53326 13.139 * * [simplify]: Extracting #7: cost 2 inf + 89774 13.160 * * [simplify]: Extracting #8: cost 0 inf + 90670 13.174 * * [simplify]: Extracting #9: cost 0 inf + 90408 13.185 * [simplify]: Simplified to (+ (+ (* (cbrt (/ 1 N)) 1/3) (pow (/ -1 N) -2/3)) (* (cbrt (/ 1 (* (* N N) (* N N)))) 2/9)) 13.185 * [simplify]: Simplified (2 2 1 1) to (λ (N) (atan2 1 (* (* (+ (+ (* (cbrt (/ 1 N)) 1/3) (pow (/ -1 N) -2/3)) (* (cbrt (/ 1 (* (* N N) (* N N)))) 2/9)) (cbrt (+ 1 (* (+ N 1) N)))) (cbrt (+ 1 (* (+ N 1) N)))))) 13.185 * * * * [progress]: [ 101 / 103 ] simplifiying candidate # 13.186 * [simplify]: Simplifying (+ (* 2/3 N) (+ (* 5/9 (pow N 2)) 1)) 13.186 * * [simplify]: iters left: 6 (10 enodes) 13.190 * * [simplify]: iters left: 5 (42 enodes) 13.197 * * [simplify]: iters left: 4 (56 enodes) 13.207 * * [simplify]: iters left: 3 (74 enodes) 13.217 * * [simplify]: iters left: 2 (88 enodes) 13.231 * * [simplify]: Extracting #0: cost 1 inf + 0 13.231 * * [simplify]: Extracting #1: cost 8 inf + 0 13.231 * * [simplify]: Extracting #2: cost 18 inf + 1 13.231 * * [simplify]: Extracting #3: cost 18 inf + 45 13.232 * * [simplify]: Extracting #4: cost 2 inf + 1404 13.233 * * [simplify]: Extracting #5: cost 0 inf + 1611 13.234 * * [simplify]: Extracting #6: cost 0 inf + 1571 13.235 * [simplify]: Simplified to (+ 1 (* N (+ (* 5/9 N) 2/3))) 13.235 * [simplify]: Simplified (2 2 1) to (λ (N) (atan2 1 (* (+ 1 (* N (+ (* 5/9 N) 2/3))) (cbrt (+ 1 (* (+ N 1) N)))))) 13.235 * * * * [progress]: [ 102 / 103 ] simplifiying candidate # 13.235 * [simplify]: Simplifying (+ (* 2/3 (pow N 1/3)) (+ (pow (/ 1 N) -4/3) (* 5/9 (pow (/ 1 (pow N 2)) 1/3)))) 13.235 * * [simplify]: iters left: 6 (17 enodes) 13.247 * * [simplify]: iters left: 5 (75 enodes) 13.273 * * [simplify]: iters left: 4 (127 enodes) 13.301 * * [simplify]: iters left: 3 (242 enodes) 13.359 * * [simplify]: iters left: 2 (468 enodes) 13.504 * * [simplify]: Extracting #0: cost 1 inf + 0 13.504 * * [simplify]: Extracting #1: cost 8 inf + 0 13.504 * * [simplify]: Extracting #2: cost 74 inf + 0 13.505 * * [simplify]: Extracting #3: cost 188 inf + 4 13.507 * * [simplify]: Extracting #4: cost 162 inf + 5252 13.511 * * [simplify]: Extracting #5: cost 72 inf + 43767 13.521 * * [simplify]: Extracting #6: cost 3 inf + 82030 13.538 * * [simplify]: Extracting #7: cost 0 inf + 82878 13.555 * * [simplify]: Extracting #8: cost 0 inf + 82354 13.568 * [simplify]: Simplified to (+ (* (cbrt N) 2/3) (+ (pow (/ 1 N) -4/3) (* 5/9 (cbrt (/ (/ 1 N) N))))) 13.568 * [simplify]: Simplified (2 2 1) to (λ (N) (atan2 1 (* (+ (* (cbrt N) 2/3) (+ (pow (/ 1 N) -4/3) (* 5/9 (cbrt (/ (/ 1 N) N))))) (cbrt (+ 1 (* (+ N 1) N)))))) 13.568 * * * * [progress]: [ 103 / 103 ] simplifiying candidate # 13.568 * [simplify]: Simplifying (+ (* 2/3 (pow N 1/3)) (+ (* 5/9 (pow (/ 1 (pow N 2)) 1/3)) (pow (/ -1 N) -4/3))) 13.568 * * [simplify]: iters left: 6 (18 enodes) 13.575 * * [simplify]: iters left: 5 (78 enodes) 13.591 * * [simplify]: iters left: 4 (131 enodes) 13.636 * * [simplify]: iters left: 3 (249 enodes) 13.703 * * [simplify]: iters left: 2 (467 enodes) 13.836 * * [simplify]: Extracting #0: cost 1 inf + 0 13.836 * * [simplify]: Extracting #1: cost 8 inf + 0 13.837 * * [simplify]: Extracting #2: cost 72 inf + 0 13.838 * * [simplify]: Extracting #3: cost 183 inf + 4 13.839 * * [simplify]: Extracting #4: cost 174 inf + 1059 13.841 * * [simplify]: Extracting #5: cost 114 inf + 23560 13.847 * * [simplify]: Extracting #6: cost 28 inf + 65653 13.855 * * [simplify]: Extracting #7: cost 2 inf + 80656 13.864 * * [simplify]: Extracting #8: cost 0 inf + 80949 13.879 * [simplify]: Simplified to (+ (* (cbrt N) 2/3) (+ (* 5/9 (cbrt (/ 1 (* N N)))) (pow (/ -1 N) -4/3))) 13.879 * [simplify]: Simplified (2 2 1) to (λ (N) (atan2 1 (* (+ (* (cbrt N) 2/3) (+ (* 5/9 (cbrt (/ 1 (* N N)))) (pow (/ -1 N) -4/3))) (cbrt (+ 1 (* (+ N 1) N)))))) 13.879 * * * [progress]: adding candidates to table 14.807 * [progress]: [Phase 3 of 3] Extracting. 14.807 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 14.808 * * * [regime-changes]: Trying 2 branch expressions: (N (- (atan (+ N 1)) (atan N))) 14.808 * * * * [regimes]: Trying to branch on N from (# # # # # # # # #) 14.872 * * * * [regimes]: Trying to branch on (- (atan (+ N 1)) (atan N)) from (# # # # # # # # #) 14.949 * * * [regime]: Found split indices: #