0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.081 * * * [progress]: [2/2] Setting up program. 0.084 * [progress]: [Phase 2 of 3] Improving. 0.084 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.084 * [simplify]: Simplifying (- (log (+ N 1)) (log N)) 0.084 * * [simplify]: iters left: 5 (6 enodes) 0.086 * * [simplify]: iters left: 4 (23 enodes) 0.089 * * [simplify]: iters left: 3 (29 enodes) 0.093 * * [simplify]: Extracting #0: cost 1 inf + 0 0.094 * * [simplify]: Extracting #1: cost 5 inf + 0 0.094 * * [simplify]: Extracting #2: cost 10 inf + 0 0.094 * * [simplify]: Extracting #3: cost 11 inf + 1 0.094 * * [simplify]: Extracting #4: cost 2 inf + 762 0.094 * * [simplify]: Extracting #5: cost 0 inf + 1034 0.094 * [simplify]: Simplified to (- (log1p N) (log N)) 0.094 * [simplify]: Simplified (2) to (λ (N) (- (log1p N) (log N))) 0.099 * * [progress]: iteration 1 / 4 0.099 * * * [progress]: picking best candidate 0.101 * * * * [pick]: Picked # 0.101 * * * [progress]: localizing error 0.110 * * * [progress]: generating rewritten candidates 0.110 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.116 * * * [progress]: generating series expansions 0.116 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.116 * [backup-simplify]: Simplify (- (log1p N) (log N)) into (- (log1p N) (log N)) 0.116 * [approximate]: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0 0.116 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.116 * [taylor]: Taking taylor expansion of (log1p N) in N 0.118 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.118 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.118 * [taylor]: Taking taylor expansion of 1 in N 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [taylor]: Taking taylor expansion of N in N 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (+ 1 0) into 1 0.120 * [backup-simplify]: Simplify (log 1) into 0 0.120 * [taylor]: Taking taylor expansion of (log N) in N 0.120 * [taylor]: Taking taylor expansion of N in N 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (log 1) into 0 0.120 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.120 * [taylor]: Taking taylor expansion of (log1p N) in N 0.120 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.120 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.120 * [taylor]: Taking taylor expansion of 1 in N 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [taylor]: Taking taylor expansion of N in N 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (+ 1 0) into 1 0.121 * [backup-simplify]: Simplify (log 1) into 0 0.121 * [taylor]: Taking taylor expansion of (log N) in N 0.121 * [taylor]: Taking taylor expansion of N in N 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (log 1) into 0 0.122 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.123 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.123 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.123 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.123 * [backup-simplify]: Simplify (+ 0 1) into 1 0.125 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.127 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.127 * [backup-simplify]: Simplify (- 0) into 0 0.128 * [backup-simplify]: Simplify (+ 1 0) into 1 0.128 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.134 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.135 * [backup-simplify]: Simplify (- 0) into 0 0.135 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.135 * [backup-simplify]: Simplify -1/2 into -1/2 0.136 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.136 * [backup-simplify]: Simplify (- (log1p (/ 1 N)) (log (/ 1 N))) into (- (log1p (/ 1 N)) (log (/ 1 N))) 0.136 * [approximate]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0 0.136 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.136 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.136 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.136 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.136 * [taylor]: Taking taylor expansion of 1 in N 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.136 * [taylor]: Taking taylor expansion of N in N 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (/ 1 1) into 1 0.137 * [backup-simplify]: Simplify (+ 0 1) into 1 0.137 * [backup-simplify]: Simplify (log 1) into 0 0.137 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.137 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.137 * [taylor]: Taking taylor expansion of N in N 0.137 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (/ 1 1) into 1 0.138 * [backup-simplify]: Simplify (log 1) into 0 0.138 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.138 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.138 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.138 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.138 * [taylor]: Taking taylor expansion of 1 in N 0.138 * [backup-simplify]: Simplify 1 into 1 0.139 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.139 * [taylor]: Taking taylor expansion of N in N 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (/ 1 1) into 1 0.139 * [backup-simplify]: Simplify (+ 0 1) into 1 0.140 * [backup-simplify]: Simplify (log 1) into 0 0.140 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.140 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.140 * [taylor]: Taking taylor expansion of N in N 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [backup-simplify]: Simplify (log 1) into 0 0.141 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.142 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.142 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.142 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (+ 1 0) into 1 0.144 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.147 * [backup-simplify]: Simplify (- 0) into 0 0.147 * [backup-simplify]: Simplify (+ 1 0) into 1 0.147 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.157 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.157 * [backup-simplify]: Simplify -1/2 into -1/2 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.171 * [backup-simplify]: Simplify (- 0) into 0 0.172 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.172 * [backup-simplify]: Simplify 1/3 into 1/3 0.172 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.173 * [backup-simplify]: Simplify (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) into (- (log1p (/ -1 N)) (log (/ -1 N))) 0.173 * [approximate]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in (N) around 0 0.173 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.173 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.173 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.173 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.173 * [taylor]: Taking taylor expansion of 1 in N 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.173 * [taylor]: Taking taylor expansion of -1 in N 0.173 * [backup-simplify]: Simplify -1 into -1 0.173 * [taylor]: Taking taylor expansion of N in N 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (/ -1 1) into -1 0.175 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.175 * [backup-simplify]: Simplify (log -1) into (log -1) 0.175 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.175 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.175 * [taylor]: Taking taylor expansion of -1 in N 0.175 * [backup-simplify]: Simplify -1 into -1 0.175 * [taylor]: Taking taylor expansion of N in N 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (/ -1 1) into -1 0.176 * [backup-simplify]: Simplify (log -1) into (log -1) 0.176 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.176 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.176 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.176 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.176 * [taylor]: Taking taylor expansion of 1 in N 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.177 * [taylor]: Taking taylor expansion of -1 in N 0.177 * [backup-simplify]: Simplify -1 into -1 0.177 * [taylor]: Taking taylor expansion of N in N 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (/ -1 1) into -1 0.178 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.178 * [backup-simplify]: Simplify (log -1) into (log -1) 0.178 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.178 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.178 * [taylor]: Taking taylor expansion of -1 in N 0.178 * [backup-simplify]: Simplify -1 into -1 0.178 * [taylor]: Taking taylor expansion of N in N 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (/ -1 1) into -1 0.179 * [backup-simplify]: Simplify (log -1) into (log -1) 0.180 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.181 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.182 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.182 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (+ 1 0) into 1 0.193 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.196 * [backup-simplify]: Simplify (- 0) into 0 0.196 * [backup-simplify]: Simplify (+ -1 0) into -1 0.197 * [backup-simplify]: Simplify -1 into -1 0.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.206 * [backup-simplify]: Simplify -1/2 into -1/2 0.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 0.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 0.220 * [backup-simplify]: Simplify (- 0) into 0 0.221 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.221 * [backup-simplify]: Simplify -1/3 into -1/3 0.221 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.221 * * * [progress]: simplifying candidates 0.221 * * * * [progress]: [ 1 / 40 ] simplifiying candidate # 0.222 * [simplify]: Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log N) 1))) 0.222 * * [simplify]: iters left: 6 (9 enodes) 0.227 * * [simplify]: iters left: 5 (35 enodes) 0.238 * * [simplify]: iters left: 4 (48 enodes) 0.246 * * [simplify]: iters left: 3 (59 enodes) 0.254 * * [simplify]: iters left: 2 (66 enodes) 0.264 * * [simplify]: iters left: 1 (80 enodes) 0.282 * * [simplify]: Extracting #0: cost 1 inf + 0 0.282 * * [simplify]: Extracting #1: cost 9 inf + 0 0.282 * * [simplify]: Extracting #2: cost 16 inf + 2 0.283 * * [simplify]: Extracting #3: cost 17 inf + 4 0.283 * * [simplify]: Extracting #4: cost 14 inf + 440 0.284 * * [simplify]: Extracting #5: cost 3 inf + 3246 0.284 * * [simplify]: Extracting #6: cost 1 inf + 3669 0.285 * * [simplify]: Extracting #7: cost 0 inf + 4051 0.286 * [simplify]: Simplified to (- (log1p N) (log N)) 0.286 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 0.287 * [simplify]: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 0.287 * * [simplify]: iters left: 4 (6 enodes) 0.290 * * [simplify]: iters left: 3 (21 enodes) 0.299 * * [simplify]: iters left: 2 (31 enodes) 0.308 * * [simplify]: iters left: 1 (35 enodes) 0.321 * * [simplify]: Extracting #0: cost 1 inf + 0 0.321 * * [simplify]: Extracting #1: cost 7 inf + 0 0.321 * * [simplify]: Extracting #2: cost 7 inf + 3 0.321 * * [simplify]: Extracting #3: cost 2 inf + 370 0.321 * * [simplify]: Extracting #4: cost 0 inf + 592 0.322 * [simplify]: Simplified to (* (log N) 0) 0.322 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (* (log N) 0))) 0.322 * * * * [progress]: [ 2 / 40 ] simplifiying candidate # 0.322 * [simplify]: Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) 0.322 * * [simplify]: iters left: 6 (10 enodes) 0.326 * * [simplify]: iters left: 5 (39 enodes) 0.341 * * [simplify]: iters left: 4 (59 enodes) 0.351 * * [simplify]: iters left: 3 (81 enodes) 0.365 * * [simplify]: iters left: 2 (121 enodes) 0.394 * * [simplify]: iters left: 1 (199 enodes) 0.476 * * [simplify]: Extracting #0: cost 1 inf + 0 0.476 * * [simplify]: Extracting #1: cost 20 inf + 0 0.477 * * [simplify]: Extracting #2: cost 74 inf + 0 0.477 * * [simplify]: Extracting #3: cost 92 inf + 5 0.478 * * [simplify]: Extracting #4: cost 81 inf + 1718 0.479 * * [simplify]: Extracting #5: cost 71 inf + 3972 0.482 * * [simplify]: Extracting #6: cost 33 inf + 23093 0.489 * * [simplify]: Extracting #7: cost 2 inf + 44809 0.495 * * [simplify]: Extracting #8: cost 0 inf + 46417 0.499 * [simplify]: Simplified to (- (log1p N) (log N)) 0.500 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) 0.500 * [simplify]: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) 0.500 * * [simplify]: iters left: 6 (7 enodes) 0.501 * * [simplify]: iters left: 5 (26 enodes) 0.506 * * [simplify]: iters left: 4 (42 enodes) 0.515 * * [simplify]: iters left: 3 (83 enodes) 0.532 * * [simplify]: iters left: 2 (133 enodes) 0.576 * * [simplify]: iters left: 1 (202 enodes) 0.647 * * [simplify]: Extracting #0: cost 1 inf + 0 0.647 * * [simplify]: Extracting #1: cost 0 inf + 1 0.647 * [simplify]: Simplified to 0 0.647 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 0.647 * * * * [progress]: [ 3 / 40 ] simplifiying candidate # 0.647 * [simplify]: Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) 0.647 * * [simplify]: iters left: 6 (9 enodes) 0.651 * * [simplify]: iters left: 5 (30 enodes) 0.660 * * [simplify]: iters left: 4 (38 enodes) 0.670 * * [simplify]: iters left: 3 (43 enodes) 0.679 * * [simplify]: iters left: 2 (50 enodes) 0.687 * * [simplify]: iters left: 1 (67 enodes) 0.701 * * [simplify]: Extracting #0: cost 1 inf + 0 0.702 * * [simplify]: Extracting #1: cost 12 inf + 0 0.702 * * [simplify]: Extracting #2: cost 27 inf + 0 0.702 * * [simplify]: Extracting #3: cost 26 inf + 94 0.702 * * [simplify]: Extracting #4: cost 12 inf + 2943 0.703 * * [simplify]: Extracting #5: cost 4 inf + 5104 0.705 * * [simplify]: Extracting #6: cost 0 inf + 6701 0.706 * [simplify]: Simplified to (- (log1p N) (log N)) 0.706 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) 0.707 * [simplify]: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) 0.707 * * [simplify]: iters left: 5 (6 enodes) 0.709 * * [simplify]: iters left: 4 (18 enodes) 0.715 * * [simplify]: iters left: 3 (26 enodes) 0.723 * * [simplify]: iters left: 2 (34 enodes) 0.731 * * [simplify]: iters left: 1 (36 enodes) 0.740 * * [simplify]: Extracting #0: cost 1 inf + 0 0.740 * * [simplify]: Extracting #1: cost 0 inf + 1 0.740 * [simplify]: Simplified to 0 0.740 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 0.740 * * * * [progress]: [ 4 / 40 ] simplifiying candidate # 0.740 * [simplify]: Simplifying (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log N) 1))) 0.741 * * [simplify]: iters left: 6 (9 enodes) 0.746 * * [simplify]: iters left: 5 (35 enodes) 0.758 * * [simplify]: iters left: 4 (48 enodes) 0.773 * * [simplify]: iters left: 3 (59 enodes) 0.789 * * [simplify]: iters left: 2 (66 enodes) 0.807 * * [simplify]: iters left: 1 (80 enodes) 0.834 * * [simplify]: Extracting #0: cost 1 inf + 0 0.834 * * [simplify]: Extracting #1: cost 9 inf + 0 0.834 * * [simplify]: Extracting #2: cost 16 inf + 2 0.835 * * [simplify]: Extracting #3: cost 17 inf + 4 0.835 * * [simplify]: Extracting #4: cost 14 inf + 440 0.835 * * [simplify]: Extracting #5: cost 3 inf + 3246 0.836 * * [simplify]: Extracting #6: cost 1 inf + 3669 0.837 * * [simplify]: Extracting #7: cost 0 inf + 4051 0.838 * [simplify]: Simplified to (- (log1p N) (log N)) 0.838 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 0.838 * [simplify]: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 0.839 * * [simplify]: iters left: 4 (6 enodes) 0.842 * * [simplify]: iters left: 3 (21 enodes) 0.851 * * [simplify]: iters left: 2 (31 enodes) 0.861 * * [simplify]: iters left: 1 (35 enodes) 0.871 * * [simplify]: Extracting #0: cost 1 inf + 0 0.871 * * [simplify]: Extracting #1: cost 7 inf + 0 0.871 * * [simplify]: Extracting #2: cost 7 inf + 3 0.872 * * [simplify]: Extracting #3: cost 2 inf + 370 0.872 * * [simplify]: Extracting #4: cost 0 inf + 592 0.872 * [simplify]: Simplified to (* (log N) 0) 0.872 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (* (log N) 0))) 0.872 * * * * [progress]: [ 5 / 40 ] simplifiying candidate # 0.873 * [simplify]: Simplifying (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log N) 1))) 0.873 * * [simplify]: iters left: 6 (8 enodes) 0.877 * * [simplify]: iters left: 5 (32 enodes) 0.888 * * [simplify]: iters left: 4 (41 enodes) 0.901 * * [simplify]: iters left: 3 (46 enodes) 0.913 * * [simplify]: Extracting #0: cost 1 inf + 0 0.913 * * [simplify]: Extracting #1: cost 6 inf + 0 0.913 * * [simplify]: Extracting #2: cost 13 inf + 0 0.913 * * [simplify]: Extracting #3: cost 10 inf + 3 0.913 * * [simplify]: Extracting #4: cost 5 inf + 638 0.913 * * [simplify]: Extracting #5: cost 0 inf + 1213 0.914 * [simplify]: Simplified to (- (log1p N) (log N)) 0.914 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 0.914 * [simplify]: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 0.914 * * [simplify]: iters left: 4 (6 enodes) 0.917 * * [simplify]: iters left: 3 (21 enodes) 0.926 * * [simplify]: iters left: 2 (31 enodes) 0.936 * * [simplify]: iters left: 1 (35 enodes) 0.946 * * [simplify]: Extracting #0: cost 1 inf + 0 0.946 * * [simplify]: Extracting #1: cost 7 inf + 0 0.946 * * [simplify]: Extracting #2: cost 7 inf + 3 0.946 * * [simplify]: Extracting #3: cost 2 inf + 370 0.947 * * [simplify]: Extracting #4: cost 0 inf + 592 0.947 * [simplify]: Simplified to (* (log N) 0) 0.947 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (* (log N) 0))) 0.947 * * * * [progress]: [ 6 / 40 ] simplifiying candidate # 0.947 * [simplify]: Simplifying (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) 0.948 * * [simplify]: iters left: 6 (9 enodes) 0.952 * * [simplify]: iters left: 5 (36 enodes) 0.964 * * [simplify]: iters left: 4 (52 enodes) 0.984 * * [simplify]: iters left: 3 (72 enodes) 1.010 * * [simplify]: iters left: 2 (118 enodes) 1.031 * * [simplify]: iters left: 1 (210 enodes) 1.117 * * [simplify]: Extracting #0: cost 1 inf + 0 1.118 * * [simplify]: Extracting #1: cost 22 inf + 0 1.118 * * [simplify]: Extracting #2: cost 90 inf + 0 1.119 * * [simplify]: Extracting #3: cost 104 inf + 96 1.120 * * [simplify]: Extracting #4: cost 97 inf + 834 1.122 * * [simplify]: Extracting #5: cost 74 inf + 10279 1.130 * * [simplify]: Extracting #6: cost 11 inf + 49491 1.140 * * [simplify]: Extracting #7: cost 0 inf + 56604 1.151 * [simplify]: Simplified to (- (log1p N) (log N)) 1.151 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) 1.151 * [simplify]: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) 1.151 * * [simplify]: iters left: 6 (7 enodes) 1.155 * * [simplify]: iters left: 5 (26 enodes) 1.164 * * [simplify]: iters left: 4 (42 enodes) 1.181 * * [simplify]: iters left: 3 (83 enodes) 1.212 * * [simplify]: iters left: 2 (133 enodes) 1.257 * * [simplify]: iters left: 1 (202 enodes) 1.322 * * [simplify]: Extracting #0: cost 1 inf + 0 1.322 * * [simplify]: Extracting #1: cost 0 inf + 1 1.322 * [simplify]: Simplified to 0 1.322 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1.322 * * * * [progress]: [ 7 / 40 ] simplifiying candidate # 1.323 * [simplify]: Simplifying (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) 1.323 * * [simplify]: iters left: 6 (8 enodes) 1.327 * * [simplify]: iters left: 5 (27 enodes) 1.335 * * [simplify]: iters left: 4 (31 enodes) 1.343 * * [simplify]: iters left: 3 (35 enodes) 1.352 * * [simplify]: iters left: 2 (43 enodes) 1.364 * * [simplify]: iters left: 1 (60 enodes) 1.388 * * [simplify]: Extracting #0: cost 1 inf + 0 1.388 * * [simplify]: Extracting #1: cost 14 inf + 0 1.388 * * [simplify]: Extracting #2: cost 33 inf + 0 1.388 * * [simplify]: Extracting #3: cost 29 inf + 254 1.389 * * [simplify]: Extracting #4: cost 21 inf + 1402 1.390 * * [simplify]: Extracting #5: cost 4 inf + 6029 1.393 * * [simplify]: Extracting #6: cost 0 inf + 7353 1.395 * [simplify]: Simplified to (- (log1p N) (log N)) 1.396 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) 1.396 * [simplify]: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) 1.396 * * [simplify]: iters left: 5 (6 enodes) 1.399 * * [simplify]: iters left: 4 (18 enodes) 1.404 * * [simplify]: iters left: 3 (26 enodes) 1.411 * * [simplify]: iters left: 2 (34 enodes) 1.421 * * [simplify]: iters left: 1 (36 enodes) 1.428 * * [simplify]: Extracting #0: cost 1 inf + 0 1.428 * * [simplify]: Extracting #1: cost 0 inf + 1 1.428 * [simplify]: Simplified to 0 1.429 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1.429 * * * * [progress]: [ 8 / 40 ] simplifiying candidate # 1.429 * [simplify]: Simplifying (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log N) 1))) 1.429 * * [simplify]: iters left: 6 (8 enodes) 1.434 * * [simplify]: iters left: 5 (32 enodes) 1.445 * * [simplify]: iters left: 4 (41 enodes) 1.457 * * [simplify]: iters left: 3 (46 enodes) 1.464 * * [simplify]: Extracting #0: cost 1 inf + 0 1.464 * * [simplify]: Extracting #1: cost 6 inf + 0 1.464 * * [simplify]: Extracting #2: cost 13 inf + 0 1.464 * * [simplify]: Extracting #3: cost 10 inf + 3 1.464 * * [simplify]: Extracting #4: cost 5 inf + 638 1.464 * * [simplify]: Extracting #5: cost 0 inf + 1213 1.464 * [simplify]: Simplified to (- (log1p N) (log N)) 1.464 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 1.465 * [simplify]: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 1.465 * * [simplify]: iters left: 4 (6 enodes) 1.467 * * [simplify]: iters left: 3 (21 enodes) 1.471 * * [simplify]: iters left: 2 (31 enodes) 1.476 * * [simplify]: iters left: 1 (35 enodes) 1.483 * * [simplify]: Extracting #0: cost 1 inf + 0 1.483 * * [simplify]: Extracting #1: cost 7 inf + 0 1.483 * * [simplify]: Extracting #2: cost 7 inf + 3 1.483 * * [simplify]: Extracting #3: cost 2 inf + 370 1.483 * * [simplify]: Extracting #4: cost 0 inf + 592 1.484 * [simplify]: Simplified to (* (log N) 0) 1.484 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (* (log N) 0))) 1.484 * * * * [progress]: [ 9 / 40 ] simplifiying candidate # 1.484 * [simplify]: Simplifying (fma 1 (log1p N) (- (* (log N) 1))) 1.484 * * [simplify]: iters left: 6 (7 enodes) 1.487 * * [simplify]: iters left: 5 (29 enodes) 1.493 * * [simplify]: iters left: 4 (39 enodes) 1.500 * * [simplify]: iters left: 3 (45 enodes) 1.508 * * [simplify]: iters left: 2 (47 enodes) 1.519 * * [simplify]: iters left: 1 (51 enodes) 1.530 * * [simplify]: Extracting #0: cost 1 inf + 0 1.530 * * [simplify]: Extracting #1: cost 7 inf + 0 1.530 * * [simplify]: Extracting #2: cost 9 inf + 2 1.530 * * [simplify]: Extracting #3: cost 4 inf + 367 1.531 * * [simplify]: Extracting #4: cost 1 inf + 860 1.531 * * [simplify]: Extracting #5: cost 0 inf + 951 1.532 * [simplify]: Simplified to (- (log1p N) (log N)) 1.532 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 1.532 * [simplify]: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 1.532 * * [simplify]: iters left: 4 (6 enodes) 1.536 * * [simplify]: iters left: 3 (21 enodes) 1.544 * * [simplify]: iters left: 2 (31 enodes) 1.553 * * [simplify]: iters left: 1 (35 enodes) 1.564 * * [simplify]: Extracting #0: cost 1 inf + 0 1.564 * * [simplify]: Extracting #1: cost 7 inf + 0 1.564 * * [simplify]: Extracting #2: cost 7 inf + 3 1.564 * * [simplify]: Extracting #3: cost 2 inf + 370 1.565 * * [simplify]: Extracting #4: cost 0 inf + 592 1.565 * [simplify]: Simplified to (* (log N) 0) 1.565 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (* (log N) 0))) 1.565 * * * * [progress]: [ 10 / 40 ] simplifiying candidate # 1.565 * [simplify]: Simplifying (fma 1 (log1p N) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) 1.565 * * [simplify]: iters left: 6 (9 enodes) 1.567 * * [simplify]: iters left: 5 (38 enodes) 1.575 * * [simplify]: iters left: 4 (57 enodes) 1.585 * * [simplify]: iters left: 3 (77 enodes) 1.600 * * [simplify]: iters left: 2 (117 enodes) 1.638 * * [simplify]: iters left: 1 (193 enodes) 1.689 * * [simplify]: Extracting #0: cost 1 inf + 0 1.689 * * [simplify]: Extracting #1: cost 14 inf + 0 1.689 * * [simplify]: Extracting #2: cost 53 inf + 1 1.690 * * [simplify]: Extracting #3: cost 76 inf + 6 1.690 * * [simplify]: Extracting #4: cost 68 inf + 755 1.692 * * [simplify]: Extracting #5: cost 51 inf + 6616 1.695 * * [simplify]: Extracting #6: cost 8 inf + 31796 1.698 * * [simplify]: Extracting #7: cost 0 inf + 37151 1.702 * [simplify]: Simplified to (- (log1p N) (log N)) 1.702 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))) 1.702 * [simplify]: Simplifying (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) 1.702 * * [simplify]: iters left: 6 (7 enodes) 1.704 * * [simplify]: iters left: 5 (26 enodes) 1.708 * * [simplify]: iters left: 4 (42 enodes) 1.722 * * [simplify]: iters left: 3 (83 enodes) 1.753 * * [simplify]: iters left: 2 (133 enodes) 1.793 * * [simplify]: iters left: 1 (202 enodes) 1.860 * * [simplify]: Extracting #0: cost 1 inf + 0 1.860 * * [simplify]: Extracting #1: cost 0 inf + 1 1.860 * [simplify]: Simplified to 0 1.860 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1.860 * * * * [progress]: [ 11 / 40 ] simplifiying candidate # 1.860 * [simplify]: Simplifying (fma 1 (log1p N) (- (* (sqrt (log N)) (sqrt (log N))))) 1.861 * * [simplify]: iters left: 6 (8 enodes) 1.863 * * [simplify]: iters left: 5 (29 enodes) 1.867 * * [simplify]: iters left: 4 (36 enodes) 1.874 * * [simplify]: iters left: 3 (40 enodes) 1.880 * * [simplify]: iters left: 2 (41 enodes) 1.885 * * [simplify]: iters left: 1 (43 enodes) 1.891 * * [simplify]: Extracting #0: cost 1 inf + 0 1.892 * * [simplify]: Extracting #1: cost 8 inf + 0 1.892 * * [simplify]: Extracting #2: cost 13 inf + 1 1.892 * * [simplify]: Extracting #3: cost 11 inf + 73 1.892 * * [simplify]: Extracting #4: cost 3 inf + 1071 1.892 * * [simplify]: Extracting #5: cost 0 inf + 1474 1.893 * [simplify]: Simplified to (- (log1p N) (log N)) 1.893 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))))) 1.893 * [simplify]: Simplifying (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) 1.893 * * [simplify]: iters left: 5 (6 enodes) 1.896 * * [simplify]: iters left: 4 (18 enodes) 1.899 * * [simplify]: iters left: 3 (26 enodes) 1.903 * * [simplify]: iters left: 2 (34 enodes) 1.907 * * [simplify]: iters left: 1 (36 enodes) 1.911 * * [simplify]: Extracting #0: cost 1 inf + 0 1.911 * * [simplify]: Extracting #1: cost 0 inf + 1 1.911 * [simplify]: Simplified to 0 1.911 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) 0)) 1.911 * * * * [progress]: [ 12 / 40 ] simplifiying candidate # 1.911 * [simplify]: Simplifying (fma 1 (log1p N) (- (* (log N) 1))) 1.911 * * [simplify]: iters left: 6 (7 enodes) 1.913 * * [simplify]: iters left: 5 (29 enodes) 1.918 * * [simplify]: iters left: 4 (39 enodes) 1.924 * * [simplify]: iters left: 3 (45 enodes) 1.935 * * [simplify]: iters left: 2 (47 enodes) 1.950 * * [simplify]: iters left: 1 (51 enodes) 1.961 * * [simplify]: Extracting #0: cost 1 inf + 0 1.961 * * [simplify]: Extracting #1: cost 7 inf + 0 1.961 * * [simplify]: Extracting #2: cost 9 inf + 2 1.961 * * [simplify]: Extracting #3: cost 4 inf + 367 1.962 * * [simplify]: Extracting #4: cost 1 inf + 860 1.962 * * [simplify]: Extracting #5: cost 0 inf + 951 1.962 * [simplify]: Simplified to (- (log1p N) (log N)) 1.962 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (log1p N) (log N)) (fma (- (log N)) 1 (* (log N) 1)))) 1.963 * [simplify]: Simplifying (fma (- (log N)) 1 (* (log N) 1)) 1.963 * * [simplify]: iters left: 4 (6 enodes) 1.966 * * [simplify]: iters left: 3 (21 enodes) 1.974 * * [simplify]: iters left: 2 (31 enodes) 1.983 * * [simplify]: iters left: 1 (35 enodes) 1.993 * * [simplify]: Extracting #0: cost 1 inf + 0 1.993 * * [simplify]: Extracting #1: cost 7 inf + 0 1.993 * * [simplify]: Extracting #2: cost 7 inf + 3 1.994 * * [simplify]: Extracting #3: cost 2 inf + 370 1.994 * * [simplify]: Extracting #4: cost 0 inf + 592 1.994 * [simplify]: Simplified to (* (log N) 0) 1.994 * [simplify]: Simplified (2 2) to (λ (N) (+ (- (log1p N) (log N)) (* (log N) 0))) 1.994 * * * * [progress]: [ 13 / 40 ] simplifiying candidate # 1.995 * * * * [progress]: [ 14 / 40 ] simplifiying candidate # 1.995 * * * * [progress]: [ 15 / 40 ] simplifiying candidate # 1.995 * [simplify]: Simplifying (* (cbrt (log1p N)) (cbrt (log1p N))) 1.995 * * [simplify]: iters left: 4 (4 enodes) 1.997 * * [simplify]: iters left: 3 (12 enodes) 2.000 * * [simplify]: Extracting #0: cost 1 inf + 0 2.000 * * [simplify]: Extracting #1: cost 3 inf + 0 2.000 * * [simplify]: Extracting #2: cost 5 inf + 0 2.000 * * [simplify]: Extracting #3: cost 7 inf + 0 2.000 * * [simplify]: Extracting #4: cost 6 inf + 1 2.000 * * [simplify]: Extracting #5: cost 0 inf + 947 2.001 * [simplify]: Simplified to (* (cbrt (log1p N)) (cbrt (log1p N))) 2.001 * [simplify]: Simplified (2 1) to (λ (N) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (log N)))) 2.001 * * * * [progress]: [ 16 / 40 ] simplifiying candidate # 2.001 * [simplify]: Simplifying (sqrt (log1p N)) 2.001 * * [simplify]: iters left: 2 (3 enodes) 2.002 * * [simplify]: iters left: 1 (9 enodes) 2.004 * * [simplify]: Extracting #0: cost 1 inf + 0 2.005 * * [simplify]: Extracting #1: cost 3 inf + 0 2.005 * * [simplify]: Extracting #2: cost 5 inf + 0 2.005 * * [simplify]: Extracting #3: cost 4 inf + 1 2.005 * * [simplify]: Extracting #4: cost 0 inf + 445 2.005 * [simplify]: Simplified to (sqrt (log1p N)) 2.005 * [simplify]: Simplified (2 1) to (λ (N) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) 2.005 * * * * [progress]: [ 17 / 40 ] simplifiying candidate # 2.005 * * * * [progress]: [ 18 / 40 ] simplifiying candidate # 2.006 * [simplify]: Simplifying (/ (+ 1 N) N) 2.006 * * [simplify]: iters left: 4 (4 enodes) 2.008 * * [simplify]: iters left: 3 (15 enodes) 2.013 * * [simplify]: iters left: 2 (17 enodes) 2.018 * * [simplify]: Extracting #0: cost 1 inf + 0 2.018 * * [simplify]: Extracting #1: cost 4 inf + 0 2.019 * * [simplify]: Extracting #2: cost 5 inf + 1 2.019 * * [simplify]: Extracting #3: cost 2 inf + 86 2.019 * * [simplify]: Extracting #4: cost 1 inf + 168 2.019 * * [simplify]: Extracting #5: cost 0 inf + 250 2.019 * [simplify]: Simplified to (/ (+ N 1) N) 2.019 * [simplify]: Simplified (2 1) to (λ (N) (log (/ (+ N 1) N))) 2.019 * * * * [progress]: [ 19 / 40 ] simplifiying candidate # 2.020 * [simplify]: Simplifying (/ (exp (log1p N)) N) 2.020 * * [simplify]: iters left: 4 (4 enodes) 2.021 * * [simplify]: iters left: 3 (12 enodes) 2.025 * * [simplify]: Extracting #0: cost 1 inf + 0 2.025 * * [simplify]: Extracting #1: cost 4 inf + 0 2.025 * * [simplify]: Extracting #2: cost 5 inf + 1 2.025 * * [simplify]: Extracting #3: cost 5 inf + 92 2.025 * * [simplify]: Extracting #4: cost 0 inf + 907 2.025 * [simplify]: Simplified to (/ (exp (log1p N)) N) 2.025 * [simplify]: Simplified (2 1) to (λ (N) (log (/ (exp (log1p N)) N))) 2.025 * * * * [progress]: [ 20 / 40 ] simplifiying candidate # 2.025 * * * * [progress]: [ 21 / 40 ] simplifiying candidate # 2.025 * * * * [progress]: [ 22 / 40 ] simplifiying candidate # 2.025 * * * * [progress]: [ 23 / 40 ] simplifiying candidate # 2.026 * * * * [progress]: [ 24 / 40 ] simplifiying candidate # 2.026 * * * * [progress]: [ 25 / 40 ] simplifiying candidate # 2.026 * * * * [progress]: [ 26 / 40 ] simplifiying candidate # 2.026 * * * * [progress]: [ 27 / 40 ] simplifiying candidate # 2.026 * * * * [progress]: [ 28 / 40 ] simplifiying candidate # 2.026 * * * * [progress]: [ 29 / 40 ] simplifiying candidate # 2.026 * * * * [progress]: [ 30 / 40 ] simplifiying candidate # 2.026 * [simplify]: Simplifying (+ (sqrt (log1p N)) (sqrt (log N))) 2.026 * * [simplify]: iters left: 4 (6 enodes) 2.029 * * [simplify]: iters left: 3 (19 enodes) 2.034 * * [simplify]: Extracting #0: cost 1 inf + 0 2.034 * * [simplify]: Extracting #1: cost 4 inf + 0 2.034 * * [simplify]: Extracting #2: cost 8 inf + 0 2.035 * * [simplify]: Extracting #3: cost 11 inf + 0 2.035 * * [simplify]: Extracting #4: cost 10 inf + 1 2.035 * * [simplify]: Extracting #5: cost 0 inf + 1371 2.035 * [simplify]: Simplified to (+ (sqrt (log1p N)) (sqrt (log N))) 2.035 * [simplify]: Simplified (2 1) to (λ (N) (* (+ (sqrt (log1p N)) (sqrt (log N))) (- (sqrt (log1p N)) (sqrt (log N))))) 2.036 * [simplify]: Simplifying (- (sqrt (log1p N)) (sqrt (log N))) 2.036 * * [simplify]: iters left: 4 (6 enodes) 2.038 * * [simplify]: iters left: 3 (20 enodes) 2.044 * * [simplify]: iters left: 2 (23 enodes) 2.051 * * [simplify]: Extracting #0: cost 1 inf + 0 2.051 * * [simplify]: Extracting #1: cost 5 inf + 0 2.051 * * [simplify]: Extracting #2: cost 10 inf + 0 2.051 * * [simplify]: Extracting #3: cost 13 inf + 0 2.051 * * [simplify]: Extracting #4: cost 12 inf + 1 2.051 * * [simplify]: Extracting #5: cost 10 inf + 163 2.051 * * [simplify]: Extracting #6: cost 1 inf + 1392 2.052 * * [simplify]: Extracting #7: cost 0 inf + 1673 2.052 * [simplify]: Simplified to (- (sqrt (log1p N)) (sqrt (log N))) 2.052 * [simplify]: Simplified (2 2) to (λ (N) (* (+ (sqrt (log1p N)) (sqrt (log N))) (- (sqrt (log1p N)) (sqrt (log N))))) 2.052 * * * * [progress]: [ 31 / 40 ] simplifiying candidate # 2.053 * [simplify]: Simplifying (- (log1p N) (log N)) 2.053 * * [simplify]: iters left: 3 (4 enodes) 2.055 * * [simplify]: iters left: 2 (14 enodes) 2.059 * * [simplify]: iters left: 1 (17 enodes) 2.063 * * [simplify]: Extracting #0: cost 1 inf + 0 2.063 * * [simplify]: Extracting #1: cost 5 inf + 0 2.064 * * [simplify]: Extracting #2: cost 9 inf + 0 2.064 * * [simplify]: Extracting #3: cost 8 inf + 1 2.064 * * [simplify]: Extracting #4: cost 0 inf + 949 2.064 * [simplify]: Simplified to (- (log1p N) (log N)) 2.064 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (- (log1p N) (log N)))) 2.064 * * * * [progress]: [ 32 / 40 ] simplifiying candidate # 2.065 * [simplify]: Simplifying (- (log1p N) (log N)) 2.065 * * [simplify]: iters left: 3 (4 enodes) 2.067 * * [simplify]: iters left: 2 (14 enodes) 2.072 * * [simplify]: iters left: 1 (17 enodes) 2.077 * * [simplify]: Extracting #0: cost 1 inf + 0 2.077 * * [simplify]: Extracting #1: cost 5 inf + 0 2.077 * * [simplify]: Extracting #2: cost 9 inf + 0 2.077 * * [simplify]: Extracting #3: cost 8 inf + 1 2.077 * * [simplify]: Extracting #4: cost 0 inf + 949 2.077 * [simplify]: Simplified to (- (log1p N) (log N)) 2.077 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (- (log1p N) (log N)))) 2.078 * * * * [progress]: [ 33 / 40 ] simplifiying candidate # 2.078 * [simplify]: Simplifying (log (cbrt N)) 2.078 * * [simplify]: iters left: 2 (3 enodes) 2.079 * * [simplify]: iters left: 1 (9 enodes) 2.081 * * [simplify]: Extracting #0: cost 1 inf + 0 2.081 * * [simplify]: Extracting #1: cost 3 inf + 0 2.081 * * [simplify]: Extracting #2: cost 5 inf + 0 2.081 * * [simplify]: Extracting #3: cost 4 inf + 1 2.082 * * [simplify]: Extracting #4: cost 0 inf + 465 2.082 * [simplify]: Simplified to (log (cbrt N)) 2.082 * [simplify]: Simplified (2 2) to (λ (N) (- (- (log1p N) (log (* (cbrt N) (cbrt N)))) (log (cbrt N)))) 2.082 * * * * [progress]: [ 34 / 40 ] simplifiying candidate # 2.082 * [simplify]: Simplifying (log (sqrt N)) 2.082 * * [simplify]: iters left: 2 (3 enodes) 2.083 * * [simplify]: iters left: 1 (9 enodes) 2.086 * * [simplify]: Extracting #0: cost 1 inf + 0 2.086 * * [simplify]: Extracting #1: cost 3 inf + 0 2.086 * * [simplify]: Extracting #2: cost 5 inf + 0 2.086 * * [simplify]: Extracting #3: cost 4 inf + 1 2.086 * * [simplify]: Extracting #4: cost 0 inf + 305 2.086 * [simplify]: Simplified to (log (sqrt N)) 2.086 * [simplify]: Simplified (2 2) to (λ (N) (- (- (log1p N) (log (sqrt N))) (log (sqrt N)))) 2.086 * * * * [progress]: [ 35 / 40 ] simplifiying candidate # 2.087 * [simplify]: Simplifying (log N) 2.087 * * [simplify]: iters left: 1 (2 enodes) 2.088 * * [simplify]: Extracting #0: cost 1 inf + 0 2.088 * * [simplify]: Extracting #1: cost 3 inf + 0 2.088 * * [simplify]: Extracting #2: cost 2 inf + 1 2.088 * * [simplify]: Extracting #3: cost 0 inf + 143 2.088 * [simplify]: Simplified to (log N) 2.088 * [simplify]: Simplified (2 2) to (λ (N) (- (- (log1p N) (log 1)) (log N))) 2.088 * * * * [progress]: [ 36 / 40 ] simplifiying candidate # 2.088 * * * * [progress]: [ 37 / 40 ] simplifiying candidate #real (real->posit16 (- (log1p N) (log N)))))> 2.088 * * * * [progress]: [ 38 / 40 ] simplifiying candidate # 2.088 * [simplify]: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 2.089 * * [simplify]: iters left: 6 (8 enodes) 2.094 * * [simplify]: iters left: 5 (35 enodes) 2.106 * * [simplify]: iters left: 4 (58 enodes) 2.128 * * [simplify]: iters left: 3 (98 enodes) 2.160 * * [simplify]: iters left: 2 (159 enodes) 2.207 * * [simplify]: iters left: 1 (209 enodes) 2.284 * * [simplify]: Extracting #0: cost 1 inf + 0 2.285 * * [simplify]: Extracting #1: cost 23 inf + 0 2.285 * * [simplify]: Extracting #2: cost 38 inf + 3 2.286 * * [simplify]: Extracting #3: cost 19 inf + 1431 2.288 * * [simplify]: Extracting #4: cost 2 inf + 3608 2.291 * * [simplify]: Extracting #5: cost 0 inf + 3785 2.293 * [simplify]: Simplified to (- N (fma 1/2 (* N N) (log N))) 2.293 * [simplify]: Simplified (2) to (λ (N) (- N (fma 1/2 (* N N) (log N)))) 2.294 * * * * [progress]: [ 39 / 40 ] simplifiying candidate # 2.294 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.294 * * [simplify]: iters left: 6 (15 enodes) 2.302 * * [simplify]: iters left: 5 (69 enodes) 2.316 * * [simplify]: iters left: 4 (118 enodes) 2.341 * * [simplify]: iters left: 3 (180 enodes) 2.393 * * [simplify]: iters left: 2 (298 enodes) 2.445 * * [simplify]: Extracting #0: cost 1 inf + 0 2.445 * * [simplify]: Extracting #1: cost 17 inf + 0 2.445 * * [simplify]: Extracting #2: cost 71 inf + 3 2.446 * * [simplify]: Extracting #3: cost 106 inf + 908 2.447 * * [simplify]: Extracting #4: cost 71 inf + 5296 2.450 * * [simplify]: Extracting #5: cost 31 inf + 19551 2.453 * * [simplify]: Extracting #6: cost 0 inf + 32382 2.457 * * [simplify]: Extracting #7: cost 0 inf + 32262 2.461 * [simplify]: Simplified to (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ -1/3 (* (* N N) N))) 2.461 * [simplify]: Simplified (2) to (λ (N) (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 2.461 * * * * [progress]: [ 40 / 40 ] simplifiying candidate # 2.461 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.462 * * [simplify]: iters left: 6 (15 enodes) 2.473 * * [simplify]: iters left: 5 (69 enodes) 2.500 * * [simplify]: iters left: 4 (118 enodes) 2.531 * * [simplify]: iters left: 3 (180 enodes) 2.581 * * [simplify]: iters left: 2 (298 enodes) 2.629 * * [simplify]: Extracting #0: cost 1 inf + 0 2.629 * * [simplify]: Extracting #1: cost 17 inf + 0 2.629 * * [simplify]: Extracting #2: cost 71 inf + 3 2.630 * * [simplify]: Extracting #3: cost 106 inf + 908 2.631 * * [simplify]: Extracting #4: cost 71 inf + 5296 2.633 * * [simplify]: Extracting #5: cost 31 inf + 19551 2.638 * * [simplify]: Extracting #6: cost 0 inf + 32382 2.648 * * [simplify]: Extracting #7: cost 0 inf + 32262 2.656 * [simplify]: Simplified to (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ -1/3 (* (* N N) N))) 2.656 * [simplify]: Simplified (2) to (λ (N) (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 2.656 * * * [progress]: adding candidates to table 3.027 * * [progress]: iteration 2 / 4 3.027 * * * [progress]: picking best candidate 3.035 * * * * [pick]: Picked # 3.035 * * * [progress]: localizing error 3.057 * * * [progress]: generating rewritten candidates 3.057 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.235 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 3.256 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 3.262 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.286 * * * [progress]: generating series expansions 3.286 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.286 * [backup-simplify]: Simplify (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ -1/3 (* (* N N) N))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 3.286 * [approximate]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0 3.286 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 3.286 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 3.286 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.286 * [taylor]: Taking taylor expansion of N in N 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify 1 into 1 3.287 * [backup-simplify]: Simplify (/ 1 1) into 1 3.287 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 3.287 * [taylor]: Taking taylor expansion of 1/3 in N 3.287 * [backup-simplify]: Simplify 1/3 into 1/3 3.287 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.287 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.287 * [taylor]: Taking taylor expansion of N in N 3.287 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify 1 into 1 3.288 * [backup-simplify]: Simplify (* 1 1) into 1 3.288 * [backup-simplify]: Simplify (* 1 1) into 1 3.289 * [backup-simplify]: Simplify (/ 1 1) into 1 3.289 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 3.289 * [taylor]: Taking taylor expansion of 1/2 in N 3.289 * [backup-simplify]: Simplify 1/2 into 1/2 3.289 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.289 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.289 * [taylor]: Taking taylor expansion of N in N 3.289 * [backup-simplify]: Simplify 0 into 0 3.289 * [backup-simplify]: Simplify 1 into 1 3.289 * [backup-simplify]: Simplify (* 1 1) into 1 3.290 * [backup-simplify]: Simplify (/ 1 1) into 1 3.290 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) in N 3.290 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) in N 3.290 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.290 * [taylor]: Taking taylor expansion of N in N 3.290 * [backup-simplify]: Simplify 0 into 0 3.290 * [backup-simplify]: Simplify 1 into 1 3.290 * [backup-simplify]: Simplify (/ 1 1) into 1 3.290 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 3.290 * [taylor]: Taking taylor expansion of 1/3 in N 3.290 * [backup-simplify]: Simplify 1/3 into 1/3 3.290 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.290 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.290 * [taylor]: Taking taylor expansion of N in N 3.290 * [backup-simplify]: Simplify 0 into 0 3.290 * [backup-simplify]: Simplify 1 into 1 3.291 * [backup-simplify]: Simplify (* 1 1) into 1 3.291 * [backup-simplify]: Simplify (* 1 1) into 1 3.291 * [backup-simplify]: Simplify (/ 1 1) into 1 3.292 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 3.292 * [taylor]: Taking taylor expansion of 1/2 in N 3.292 * [backup-simplify]: Simplify 1/2 into 1/2 3.292 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.292 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.292 * [taylor]: Taking taylor expansion of N in N 3.292 * [backup-simplify]: Simplify 0 into 0 3.292 * [backup-simplify]: Simplify 1 into 1 3.292 * [backup-simplify]: Simplify (* 1 1) into 1 3.292 * [backup-simplify]: Simplify (/ 1 1) into 1 3.293 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 3.293 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 3.294 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 3.294 * [backup-simplify]: Simplify 1/3 into 1/3 3.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.297 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 3.297 * [backup-simplify]: Simplify (+ 0 0) into 0 3.298 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.298 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.299 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.299 * [backup-simplify]: Simplify -1/2 into -1/2 3.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.303 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 3.304 * [backup-simplify]: Simplify (+ 1 0) into 1 3.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.306 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.306 * [backup-simplify]: Simplify (- 0) into 0 3.307 * [backup-simplify]: Simplify (+ 1 0) into 1 3.307 * [backup-simplify]: Simplify 1 into 1 3.307 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 3.308 * [backup-simplify]: Simplify (- (+ (/ -1/2 (* (/ 1 N) (/ 1 N))) (/ 1 (/ 1 N))) (/ -1/3 (* (* (/ 1 N) (/ 1 N)) (/ 1 N)))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 3.308 * [approximate]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in (N) around 0 3.308 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 3.308 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 3.308 * [taylor]: Taking taylor expansion of N in N 3.308 * [backup-simplify]: Simplify 0 into 0 3.308 * [backup-simplify]: Simplify 1 into 1 3.308 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 3.308 * [taylor]: Taking taylor expansion of 1/3 in N 3.308 * [backup-simplify]: Simplify 1/3 into 1/3 3.308 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.308 * [taylor]: Taking taylor expansion of N in N 3.308 * [backup-simplify]: Simplify 0 into 0 3.308 * [backup-simplify]: Simplify 1 into 1 3.308 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 3.308 * [taylor]: Taking taylor expansion of 1/2 in N 3.308 * [backup-simplify]: Simplify 1/2 into 1/2 3.308 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.308 * [taylor]: Taking taylor expansion of N in N 3.308 * [backup-simplify]: Simplify 0 into 0 3.308 * [backup-simplify]: Simplify 1 into 1 3.308 * [taylor]: Taking taylor expansion of (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) in N 3.308 * [taylor]: Taking taylor expansion of (+ N (* 1/3 (pow N 3))) in N 3.308 * [taylor]: Taking taylor expansion of N in N 3.308 * [backup-simplify]: Simplify 0 into 0 3.309 * [backup-simplify]: Simplify 1 into 1 3.309 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 3.309 * [taylor]: Taking taylor expansion of 1/3 in N 3.309 * [backup-simplify]: Simplify 1/3 into 1/3 3.309 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.309 * [taylor]: Taking taylor expansion of N in N 3.309 * [backup-simplify]: Simplify 0 into 0 3.309 * [backup-simplify]: Simplify 1 into 1 3.309 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 3.309 * [taylor]: Taking taylor expansion of 1/2 in N 3.309 * [backup-simplify]: Simplify 1/2 into 1/2 3.309 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.309 * [taylor]: Taking taylor expansion of N in N 3.309 * [backup-simplify]: Simplify 0 into 0 3.309 * [backup-simplify]: Simplify 1 into 1 3.310 * [backup-simplify]: Simplify (+ 0 0) into 0 3.310 * [backup-simplify]: Simplify (+ 0 0) into 0 3.310 * [backup-simplify]: Simplify 0 into 0 3.311 * [backup-simplify]: Simplify (+ 1 0) into 1 3.311 * [backup-simplify]: Simplify (+ 1 0) into 1 3.311 * [backup-simplify]: Simplify 1 into 1 3.312 * [backup-simplify]: Simplify (+ 0 0) into 0 3.312 * [backup-simplify]: Simplify (* 1 1) into 1 3.312 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.313 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.314 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.314 * [backup-simplify]: Simplify -1/2 into -1/2 3.314 * [backup-simplify]: Simplify (* 1 1) into 1 3.315 * [backup-simplify]: Simplify (* 1 1) into 1 3.315 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 3.315 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 3.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.317 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.317 * [backup-simplify]: Simplify (- 0) into 0 3.318 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 3.318 * [backup-simplify]: Simplify 1/3 into 1/3 3.318 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 3.319 * [backup-simplify]: Simplify (- (+ (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N)))) (/ 1 (/ 1 (- N)))) (/ -1/3 (* (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N))))) into (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) 3.319 * [approximate]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in (N) around 0 3.319 * [taylor]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 3.319 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 3.319 * [taylor]: Taking taylor expansion of N in N 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 1 into 1 3.319 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 3.319 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 3.319 * [taylor]: Taking taylor expansion of 1/2 in N 3.319 * [backup-simplify]: Simplify 1/2 into 1/2 3.319 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.319 * [taylor]: Taking taylor expansion of N in N 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 1 into 1 3.319 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 3.319 * [taylor]: Taking taylor expansion of 1/3 in N 3.320 * [backup-simplify]: Simplify 1/3 into 1/3 3.320 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.320 * [taylor]: Taking taylor expansion of N in N 3.320 * [backup-simplify]: Simplify 0 into 0 3.320 * [backup-simplify]: Simplify 1 into 1 3.320 * [taylor]: Taking taylor expansion of (- (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))))) in N 3.320 * [taylor]: Taking taylor expansion of (+ N (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3)))) in N 3.320 * [taylor]: Taking taylor expansion of N in N 3.320 * [backup-simplify]: Simplify 0 into 0 3.320 * [backup-simplify]: Simplify 1 into 1 3.320 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow N 2)) (* 1/3 (pow N 3))) in N 3.320 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 3.320 * [taylor]: Taking taylor expansion of 1/2 in N 3.320 * [backup-simplify]: Simplify 1/2 into 1/2 3.320 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.320 * [taylor]: Taking taylor expansion of N in N 3.320 * [backup-simplify]: Simplify 0 into 0 3.320 * [backup-simplify]: Simplify 1 into 1 3.320 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 3.320 * [taylor]: Taking taylor expansion of 1/3 in N 3.320 * [backup-simplify]: Simplify 1/3 into 1/3 3.320 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.320 * [taylor]: Taking taylor expansion of N in N 3.320 * [backup-simplify]: Simplify 0 into 0 3.320 * [backup-simplify]: Simplify 1 into 1 3.321 * [backup-simplify]: Simplify (+ 0 0) into 0 3.321 * [backup-simplify]: Simplify (- 0) into 0 3.321 * [backup-simplify]: Simplify 0 into 0 3.322 * [backup-simplify]: Simplify (+ 1 0) into 1 3.322 * [backup-simplify]: Simplify (- 1) into -1 3.322 * [backup-simplify]: Simplify -1 into -1 3.323 * [backup-simplify]: Simplify (* 1 1) into 1 3.323 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.324 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.324 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.324 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.324 * [backup-simplify]: Simplify -1/2 into -1/2 3.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.326 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.326 * [backup-simplify]: Simplify (* 1 1) into 1 3.327 * [backup-simplify]: Simplify (* 1 1) into 1 3.327 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 3.328 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 3.328 * [backup-simplify]: Simplify (+ 0 1/3) into 1/3 3.329 * [backup-simplify]: Simplify (- 1/3) into -1/3 3.329 * [backup-simplify]: Simplify -1/3 into -1/3 3.329 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 3.329 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 3.329 * [backup-simplify]: Simplify (/ -1/3 (* (* N N) N)) into (/ -1/3 (pow N 3)) 3.329 * [approximate]: Taking taylor expansion of (/ -1/3 (pow N 3)) in (N) around 0 3.329 * [taylor]: Taking taylor expansion of (/ -1/3 (pow N 3)) in N 3.330 * [taylor]: Taking taylor expansion of -1/3 in N 3.330 * [backup-simplify]: Simplify -1/3 into -1/3 3.330 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.330 * [taylor]: Taking taylor expansion of N in N 3.330 * [backup-simplify]: Simplify 0 into 0 3.330 * [backup-simplify]: Simplify 1 into 1 3.330 * [backup-simplify]: Simplify (* 1 1) into 1 3.331 * [backup-simplify]: Simplify (* 1 1) into 1 3.331 * [backup-simplify]: Simplify (/ -1/3 1) into -1/3 3.331 * [taylor]: Taking taylor expansion of (/ -1/3 (pow N 3)) in N 3.331 * [taylor]: Taking taylor expansion of -1/3 in N 3.331 * [backup-simplify]: Simplify -1/3 into -1/3 3.331 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.331 * [taylor]: Taking taylor expansion of N in N 3.331 * [backup-simplify]: Simplify 0 into 0 3.331 * [backup-simplify]: Simplify 1 into 1 3.332 * [backup-simplify]: Simplify (* 1 1) into 1 3.332 * [backup-simplify]: Simplify (* 1 1) into 1 3.333 * [backup-simplify]: Simplify (/ -1/3 1) into -1/3 3.333 * [backup-simplify]: Simplify -1/3 into -1/3 3.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/3 (/ 0 1)))) into 0 3.336 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.339 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.342 * [backup-simplify]: Simplify 0 into 0 3.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.346 * [backup-simplify]: Simplify 0 into 0 3.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.350 * [backup-simplify]: Simplify 0 into 0 3.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 N) 3)) into (/ -1/3 (pow N 3)) 3.354 * [backup-simplify]: Simplify (/ -1/3 (* (* (/ 1 N) (/ 1 N)) (/ 1 N))) into (* -1/3 (pow N 3)) 3.355 * [approximate]: Taking taylor expansion of (* -1/3 (pow N 3)) in (N) around 0 3.355 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 3.355 * [taylor]: Taking taylor expansion of -1/3 in N 3.355 * [backup-simplify]: Simplify -1/3 into -1/3 3.355 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.355 * [taylor]: Taking taylor expansion of N in N 3.355 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify 1 into 1 3.355 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 3.355 * [taylor]: Taking taylor expansion of -1/3 in N 3.355 * [backup-simplify]: Simplify -1/3 into -1/3 3.355 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.355 * [taylor]: Taking taylor expansion of N in N 3.355 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify 1 into 1 3.355 * [backup-simplify]: Simplify (* 1 1) into 1 3.356 * [backup-simplify]: Simplify (* 1 1) into 1 3.356 * [backup-simplify]: Simplify (* -1/3 1) into -1/3 3.356 * [backup-simplify]: Simplify -1/3 into -1/3 3.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.358 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 1)) into 0 3.358 * [backup-simplify]: Simplify 0 into 0 3.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.361 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 1))) into 0 3.361 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.364 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.364 * [backup-simplify]: Simplify 0 into 0 3.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.368 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.368 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.373 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.373 * [backup-simplify]: Simplify 0 into 0 3.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.378 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.378 * [backup-simplify]: Simplify 0 into 0 3.378 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 N) 3)) into (/ -1/3 (pow N 3)) 3.378 * [backup-simplify]: Simplify (/ -1/3 (* (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))) into (* 1/3 (pow N 3)) 3.379 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 3)) in (N) around 0 3.379 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 3.379 * [taylor]: Taking taylor expansion of 1/3 in N 3.379 * [backup-simplify]: Simplify 1/3 into 1/3 3.379 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.379 * [taylor]: Taking taylor expansion of N in N 3.379 * [backup-simplify]: Simplify 0 into 0 3.379 * [backup-simplify]: Simplify 1 into 1 3.379 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 3.379 * [taylor]: Taking taylor expansion of 1/3 in N 3.379 * [backup-simplify]: Simplify 1/3 into 1/3 3.379 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.379 * [taylor]: Taking taylor expansion of N in N 3.379 * [backup-simplify]: Simplify 0 into 0 3.379 * [backup-simplify]: Simplify 1 into 1 3.379 * [backup-simplify]: Simplify (* 1 1) into 1 3.380 * [backup-simplify]: Simplify (* 1 1) into 1 3.380 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 3.380 * [backup-simplify]: Simplify 1/3 into 1/3 3.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.383 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 3.383 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.386 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 3.386 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.389 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.389 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.396 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.396 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.400 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.400 * [backup-simplify]: Simplify 0 into 0 3.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.404 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (- N)) 3)) into (/ -1/3 (pow N 3)) 3.405 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 3.405 * [backup-simplify]: Simplify (/ -1/2 (* N N)) into (/ -1/2 (pow N 2)) 3.405 * [approximate]: Taking taylor expansion of (/ -1/2 (pow N 2)) in (N) around 0 3.405 * [taylor]: Taking taylor expansion of (/ -1/2 (pow N 2)) in N 3.405 * [taylor]: Taking taylor expansion of -1/2 in N 3.405 * [backup-simplify]: Simplify -1/2 into -1/2 3.405 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.405 * [taylor]: Taking taylor expansion of N in N 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify 1 into 1 3.406 * [backup-simplify]: Simplify (* 1 1) into 1 3.406 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.406 * [taylor]: Taking taylor expansion of (/ -1/2 (pow N 2)) in N 3.406 * [taylor]: Taking taylor expansion of -1/2 in N 3.406 * [backup-simplify]: Simplify -1/2 into -1/2 3.406 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.406 * [taylor]: Taking taylor expansion of N in N 3.406 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify 1 into 1 3.407 * [backup-simplify]: Simplify (* 1 1) into 1 3.407 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.407 * [backup-simplify]: Simplify -1/2 into -1/2 3.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 3.409 * [backup-simplify]: Simplify 0 into 0 3.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.411 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.413 * [backup-simplify]: Simplify 0 into 0 3.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.416 * [backup-simplify]: Simplify 0 into 0 3.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.418 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.421 * [backup-simplify]: Simplify 0 into 0 3.421 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 N) 2)) into (/ -1/2 (pow N 2)) 3.421 * [backup-simplify]: Simplify (/ -1/2 (* (/ 1 N) (/ 1 N))) into (* -1/2 (pow N 2)) 3.421 * [approximate]: Taking taylor expansion of (* -1/2 (pow N 2)) in (N) around 0 3.421 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 3.421 * [taylor]: Taking taylor expansion of -1/2 in N 3.421 * [backup-simplify]: Simplify -1/2 into -1/2 3.421 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.421 * [taylor]: Taking taylor expansion of N in N 3.421 * [backup-simplify]: Simplify 0 into 0 3.421 * [backup-simplify]: Simplify 1 into 1 3.421 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 3.421 * [taylor]: Taking taylor expansion of -1/2 in N 3.421 * [backup-simplify]: Simplify -1/2 into -1/2 3.421 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.421 * [taylor]: Taking taylor expansion of N in N 3.421 * [backup-simplify]: Simplify 0 into 0 3.421 * [backup-simplify]: Simplify 1 into 1 3.422 * [backup-simplify]: Simplify (* 1 1) into 1 3.422 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 3.422 * [backup-simplify]: Simplify -1/2 into -1/2 3.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.424 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 1)) into 0 3.424 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.426 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.426 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.428 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.428 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.431 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.431 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.434 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.434 * [backup-simplify]: Simplify 0 into 0 3.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.437 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.438 * [backup-simplify]: Simplify 0 into 0 3.438 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 N) 2)) into (/ -1/2 (pow N 2)) 3.438 * [backup-simplify]: Simplify (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N)))) into (* -1/2 (pow N 2)) 3.438 * [approximate]: Taking taylor expansion of (* -1/2 (pow N 2)) in (N) around 0 3.438 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 3.438 * [taylor]: Taking taylor expansion of -1/2 in N 3.438 * [backup-simplify]: Simplify -1/2 into -1/2 3.438 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.438 * [taylor]: Taking taylor expansion of N in N 3.438 * [backup-simplify]: Simplify 0 into 0 3.438 * [backup-simplify]: Simplify 1 into 1 3.438 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 3.438 * [taylor]: Taking taylor expansion of -1/2 in N 3.438 * [backup-simplify]: Simplify -1/2 into -1/2 3.438 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.438 * [taylor]: Taking taylor expansion of N in N 3.438 * [backup-simplify]: Simplify 0 into 0 3.438 * [backup-simplify]: Simplify 1 into 1 3.439 * [backup-simplify]: Simplify (* 1 1) into 1 3.439 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 3.439 * [backup-simplify]: Simplify -1/2 into -1/2 3.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.441 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 1)) into 0 3.441 * [backup-simplify]: Simplify 0 into 0 3.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.443 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.443 * [backup-simplify]: Simplify 0 into 0 3.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.445 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.445 * [backup-simplify]: Simplify 0 into 0 3.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.448 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.448 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.451 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.451 * [backup-simplify]: Simplify 0 into 0 3.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.454 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.454 * [backup-simplify]: Simplify 0 into 0 3.454 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 (- N)) 2)) into (/ -1/2 (pow N 2)) 3.454 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.454 * [backup-simplify]: Simplify (+ (/ -1/2 (* N N)) (/ 1 N)) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 3.454 * [approximate]: Taking taylor expansion of (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0 3.454 * [taylor]: Taking taylor expansion of (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) in N 3.454 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.454 * [taylor]: Taking taylor expansion of N in N 3.454 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify 1 into 1 3.455 * [backup-simplify]: Simplify (/ 1 1) into 1 3.455 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 3.455 * [taylor]: Taking taylor expansion of 1/2 in N 3.455 * [backup-simplify]: Simplify 1/2 into 1/2 3.455 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.455 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.455 * [taylor]: Taking taylor expansion of N in N 3.455 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify 1 into 1 3.455 * [backup-simplify]: Simplify (* 1 1) into 1 3.456 * [backup-simplify]: Simplify (/ 1 1) into 1 3.456 * [taylor]: Taking taylor expansion of (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) in N 3.456 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.456 * [taylor]: Taking taylor expansion of N in N 3.456 * [backup-simplify]: Simplify 0 into 0 3.456 * [backup-simplify]: Simplify 1 into 1 3.456 * [backup-simplify]: Simplify (/ 1 1) into 1 3.456 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 3.456 * [taylor]: Taking taylor expansion of 1/2 in N 3.457 * [backup-simplify]: Simplify 1/2 into 1/2 3.457 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.457 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.457 * [taylor]: Taking taylor expansion of N in N 3.457 * [backup-simplify]: Simplify 0 into 0 3.457 * [backup-simplify]: Simplify 1 into 1 3.457 * [backup-simplify]: Simplify (* 1 1) into 1 3.457 * [backup-simplify]: Simplify (/ 1 1) into 1 3.458 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.458 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.459 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.459 * [backup-simplify]: Simplify -1/2 into -1/2 3.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.461 * [backup-simplify]: Simplify (- 0) into 0 3.462 * [backup-simplify]: Simplify (+ 1 0) into 1 3.462 * [backup-simplify]: Simplify 1 into 1 3.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.466 * [backup-simplify]: Simplify (- 0) into 0 3.466 * [backup-simplify]: Simplify (+ 0 0) into 0 3.466 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.470 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.471 * [backup-simplify]: Simplify (- 0) into 0 3.471 * [backup-simplify]: Simplify (+ 0 0) into 0 3.471 * [backup-simplify]: Simplify 0 into 0 3.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.475 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.475 * [backup-simplify]: Simplify (- 0) into 0 3.476 * [backup-simplify]: Simplify (+ 0 0) into 0 3.476 * [backup-simplify]: Simplify 0 into 0 3.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.481 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.481 * [backup-simplify]: Simplify (- 0) into 0 3.481 * [backup-simplify]: Simplify (+ 0 0) into 0 3.481 * [backup-simplify]: Simplify 0 into 0 3.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.486 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.487 * [backup-simplify]: Simplify (- 0) into 0 3.487 * [backup-simplify]: Simplify (+ 0 0) into 0 3.487 * [backup-simplify]: Simplify 0 into 0 3.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.491 * [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 3.493 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.494 * [backup-simplify]: Simplify (- 0) into 0 3.494 * [backup-simplify]: Simplify (+ 0 0) into 0 3.494 * [backup-simplify]: Simplify 0 into 0 3.495 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (* -1/2 (pow (/ 1 N) 2))) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 3.495 * [backup-simplify]: Simplify (+ (/ -1/2 (* (/ 1 N) (/ 1 N))) (/ 1 (/ 1 N))) into (- N (* 1/2 (pow N 2))) 3.495 * [approximate]: Taking taylor expansion of (- N (* 1/2 (pow N 2))) in (N) around 0 3.495 * [taylor]: Taking taylor expansion of (- N (* 1/2 (pow N 2))) in N 3.495 * [taylor]: Taking taylor expansion of N in N 3.495 * [backup-simplify]: Simplify 0 into 0 3.495 * [backup-simplify]: Simplify 1 into 1 3.495 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 3.495 * [taylor]: Taking taylor expansion of 1/2 in N 3.495 * [backup-simplify]: Simplify 1/2 into 1/2 3.495 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.495 * [taylor]: Taking taylor expansion of N in N 3.495 * [backup-simplify]: Simplify 0 into 0 3.495 * [backup-simplify]: Simplify 1 into 1 3.495 * [taylor]: Taking taylor expansion of (- N (* 1/2 (pow N 2))) in N 3.495 * [taylor]: Taking taylor expansion of N in N 3.495 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify 1 into 1 3.496 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 3.496 * [taylor]: Taking taylor expansion of 1/2 in N 3.496 * [backup-simplify]: Simplify 1/2 into 1/2 3.496 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.496 * [taylor]: Taking taylor expansion of N in N 3.496 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify 1 into 1 3.496 * [backup-simplify]: Simplify (+ 0 0) into 0 3.496 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify (+ 1 0) into 1 3.497 * [backup-simplify]: Simplify 1 into 1 3.497 * [backup-simplify]: Simplify (* 1 1) into 1 3.498 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.498 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.498 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.498 * [backup-simplify]: Simplify -1/2 into -1/2 3.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.500 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.500 * [backup-simplify]: Simplify (- 0) into 0 3.501 * [backup-simplify]: Simplify (+ 0 0) into 0 3.501 * [backup-simplify]: Simplify 0 into 0 3.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.503 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.503 * [backup-simplify]: Simplify (- 0) into 0 3.504 * [backup-simplify]: Simplify (+ 0 0) into 0 3.504 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.506 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.506 * [backup-simplify]: Simplify (- 0) into 0 3.507 * [backup-simplify]: Simplify (+ 0 0) into 0 3.507 * [backup-simplify]: Simplify 0 into 0 3.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.510 * [backup-simplify]: Simplify (- 0) into 0 3.511 * [backup-simplify]: Simplify (+ 0 0) into 0 3.511 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.514 * [backup-simplify]: Simplify (- 0) into 0 3.514 * [backup-simplify]: Simplify (+ 0 0) into 0 3.514 * [backup-simplify]: Simplify 0 into 0 3.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.518 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.518 * [backup-simplify]: Simplify (- 0) into 0 3.518 * [backup-simplify]: Simplify (+ 0 0) into 0 3.518 * [backup-simplify]: Simplify 0 into 0 3.519 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N))) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 3.519 * [backup-simplify]: Simplify (+ (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N)))) (/ 1 (/ 1 (- N)))) into (- (+ N (* 1/2 (pow N 2)))) 3.519 * [approximate]: Taking taylor expansion of (- (+ N (* 1/2 (pow N 2)))) in (N) around 0 3.519 * [taylor]: Taking taylor expansion of (- (+ N (* 1/2 (pow N 2)))) in N 3.519 * [taylor]: Taking taylor expansion of (+ N (* 1/2 (pow N 2))) in N 3.519 * [taylor]: Taking taylor expansion of N in N 3.519 * [backup-simplify]: Simplify 0 into 0 3.519 * [backup-simplify]: Simplify 1 into 1 3.519 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 3.519 * [taylor]: Taking taylor expansion of 1/2 in N 3.519 * [backup-simplify]: Simplify 1/2 into 1/2 3.519 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.519 * [taylor]: Taking taylor expansion of N in N 3.519 * [backup-simplify]: Simplify 0 into 0 3.519 * [backup-simplify]: Simplify 1 into 1 3.519 * [taylor]: Taking taylor expansion of (- (+ N (* 1/2 (pow N 2)))) in N 3.519 * [taylor]: Taking taylor expansion of (+ N (* 1/2 (pow N 2))) in N 3.519 * [taylor]: Taking taylor expansion of N in N 3.519 * [backup-simplify]: Simplify 0 into 0 3.519 * [backup-simplify]: Simplify 1 into 1 3.520 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 3.520 * [taylor]: Taking taylor expansion of 1/2 in N 3.520 * [backup-simplify]: Simplify 1/2 into 1/2 3.520 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.520 * [taylor]: Taking taylor expansion of N in N 3.520 * [backup-simplify]: Simplify 0 into 0 3.520 * [backup-simplify]: Simplify 1 into 1 3.520 * [backup-simplify]: Simplify (+ 0 0) into 0 3.521 * [backup-simplify]: Simplify (- 0) into 0 3.521 * [backup-simplify]: Simplify 0 into 0 3.521 * [backup-simplify]: Simplify (+ 1 0) into 1 3.521 * [backup-simplify]: Simplify (- 1) into -1 3.521 * [backup-simplify]: Simplify -1 into -1 3.522 * [backup-simplify]: Simplify (* 1 1) into 1 3.522 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.523 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 3.523 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.523 * [backup-simplify]: Simplify -1/2 into -1/2 3.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.525 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.525 * [backup-simplify]: Simplify (+ 0 0) into 0 3.526 * [backup-simplify]: Simplify (- 0) into 0 3.526 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.528 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.528 * [backup-simplify]: Simplify (+ 0 0) into 0 3.528 * [backup-simplify]: Simplify (- 0) into 0 3.529 * [backup-simplify]: Simplify 0 into 0 3.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.531 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.531 * [backup-simplify]: Simplify (+ 0 0) into 0 3.532 * [backup-simplify]: Simplify (- 0) into 0 3.532 * [backup-simplify]: Simplify 0 into 0 3.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.534 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.535 * [backup-simplify]: Simplify (+ 0 0) into 0 3.535 * [backup-simplify]: Simplify (- 0) into 0 3.535 * [backup-simplify]: Simplify 0 into 0 3.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.538 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.539 * [backup-simplify]: Simplify (+ 0 0) into 0 3.539 * [backup-simplify]: Simplify (- 0) into 0 3.539 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.546 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.547 * [backup-simplify]: Simplify (+ 0 0) into 0 3.547 * [backup-simplify]: Simplify (- 0) into 0 3.547 * [backup-simplify]: Simplify 0 into 0 3.548 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N)))) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 3.548 * * * [progress]: simplifying candidates 3.548 * * * * [progress]: [ 1 / 151 ] simplifiying candidate # 3.548 * [simplify]: Simplifying (fma (* (cbrt (+ (/ -1/2 (* N N)) (/ 1 N))) (cbrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (cbrt (+ (/ -1/2 (* N N)) (/ 1 N))) (- (* (cbrt (/ -1/3 (* (* N N) N))) (* (cbrt (/ -1/3 (* (* N N) N))) (cbrt (/ -1/3 (* (* N N) N))))))) 3.548 * * [simplify]: iters left: 6 (17 enodes) 3.558 * * [simplify]: iters left: 5 (68 enodes) 3.582 * * [simplify]: iters left: 4 (98 enodes) 3.602 * * [simplify]: iters left: 3 (131 enodes) 3.627 * * [simplify]: iters left: 2 (183 enodes) 3.666 * * [simplify]: iters left: 1 (269 enodes) 3.740 * * [simplify]: Extracting #0: cost 1 inf + 0 3.740 * * [simplify]: Extracting #1: cost 24 inf + 0 3.741 * * [simplify]: Extracting #2: cost 92 inf + 0 3.742 * * [simplify]: Extracting #3: cost 118 inf + 8 3.743 * * [simplify]: Extracting #4: cost 91 inf + 4083 3.747 * * [simplify]: Extracting #5: cost 47 inf + 21115 3.758 * * [simplify]: Extracting #6: cost 5 inf + 48346 3.774 * * [simplify]: Extracting #7: cost 0 inf + 48983 3.788 * * [simplify]: Extracting #8: cost 0 inf + 47731 3.800 * [simplify]: Simplified to (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) 3.800 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) (fma (- (cbrt (/ -1/3 (* (* N N) N)))) (* (cbrt (/ -1/3 (* (* N N) N))) (cbrt (/ -1/3 (* (* N N) N)))) (* (cbrt (/ -1/3 (* (* N N) N))) (* (cbrt (/ -1/3 (* (* N N) N))) (cbrt (/ -1/3 (* (* N N) N)))))))) 3.800 * [simplify]: Simplifying (fma (- (cbrt (/ -1/3 (* (* N N) N)))) (* (cbrt (/ -1/3 (* (* N N) N))) (cbrt (/ -1/3 (* (* N N) N)))) (* (cbrt (/ -1/3 (* (* N N) N))) (* (cbrt (/ -1/3 (* (* N N) N))) (cbrt (/ -1/3 (* (* N N) N)))))) 3.801 * * [simplify]: iters left: 6 (10 enodes) 3.806 * * [simplify]: iters left: 5 (38 enodes) 3.820 * * [simplify]: iters left: 4 (60 enodes) 3.843 * * [simplify]: iters left: 3 (112 enodes) 3.882 * * [simplify]: iters left: 2 (172 enodes) 3.917 * * [simplify]: iters left: 1 (249 enodes) 3.994 * * [simplify]: Extracting #0: cost 1 inf + 0 3.994 * * [simplify]: Extracting #1: cost 0 inf + 1 3.994 * [simplify]: Simplified to 0 3.994 * [simplify]: Simplified (2 2) to (λ (N) (+ (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) 0)) 3.994 * * * * [progress]: [ 2 / 151 ] simplifiying candidate # 3.995 * [simplify]: Simplifying (fma (* (cbrt (+ (/ -1/2 (* N N)) (/ 1 N))) (cbrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (cbrt (+ (/ -1/2 (* N N)) (/ 1 N))) (- (* (sqrt (/ -1/3 (* (* N N) N))) (sqrt (/ -1/3 (* (* N N) N)))))) 3.995 * * [simplify]: iters left: 6 (16 enodes) 4.004 * * [simplify]: iters left: 5 (59 enodes) 4.024 * * [simplify]: iters left: 4 (83 enodes) 4.042 * * [simplify]: iters left: 3 (103 enodes) 4.059 * * [simplify]: iters left: 2 (123 enodes) 4.083 * * [simplify]: iters left: 1 (170 enodes) 4.124 * * [simplify]: Extracting #0: cost 1 inf + 0 4.124 * * [simplify]: Extracting #1: cost 16 inf + 0 4.124 * * [simplify]: Extracting #2: cost 47 inf + 0 4.125 * * [simplify]: Extracting #3: cost 58 inf + 49 4.126 * * [simplify]: Extracting #4: cost 37 inf + 2761 4.129 * * [simplify]: Extracting #5: cost 15 inf + 8437 4.135 * * [simplify]: Extracting #6: cost 0 inf + 13966 4.139 * * [simplify]: Extracting #7: cost 0 inf + 13881 4.144 * [simplify]: Simplified to (+ (/ 1 N) (- (/ -1/2 (* N N)) (/ (/ -1/3 (* N N)) N))) 4.144 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (/ 1 N) (- (/ -1/2 (* N N)) (/ (/ -1/3 (* N N)) N))) (fma (- (sqrt (/ -1/3 (* (* N N) N)))) (sqrt (/ -1/3 (* (* N N) N))) (* (sqrt (/ -1/3 (* (* N N) N))) (sqrt (/ -1/3 (* (* N N) N))))))) 4.144 * [simplify]: Simplifying (fma (- (sqrt (/ -1/3 (* (* N N) N)))) (sqrt (/ -1/3 (* (* N N) N))) (* (sqrt (/ -1/3 (* (* N N) N))) (sqrt (/ -1/3 (* (* N N) N))))) 4.144 * * [simplify]: iters left: 6 (9 enodes) 4.149 * * [simplify]: iters left: 5 (30 enodes) 4.159 * * [simplify]: iters left: 4 (45 enodes) 4.176 * * [simplify]: iters left: 3 (69 enodes) 4.198 * * [simplify]: iters left: 2 (94 enodes) 4.227 * * [simplify]: iters left: 1 (120 enodes) 4.260 * * [simplify]: Extracting #0: cost 1 inf + 0 4.260 * * [simplify]: Extracting #1: cost 0 inf + 1 4.260 * [simplify]: Simplified to 0 4.260 * [simplify]: Simplified (2 2) to (λ (N) (+ (+ (/ 1 N) (- (/ -1/2 (* N N)) (/ (/ -1/3 (* N N)) N))) 0)) 4.261 * * * * [progress]: [ 3 / 151 ] simplifiying candidate # 4.261 * [simplify]: Simplifying (fma (* (cbrt (+ (/ -1/2 (* N N)) (/ 1 N))) (cbrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (cbrt (+ (/ -1/2 (* N N)) (/ 1 N))) (- (* (/ (cbrt -1/3) N) (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N))))) 4.261 * * [simplify]: iters left: 6 (17 enodes) 4.269 * * [simplify]: iters left: 5 (72 enodes) 4.297 * * [simplify]: iters left: 4 (153 enodes) 4.363 * * [simplify]: iters left: 3 (309 enodes) 4.493 * * [simplify]: iters left: 2 (475 enodes) 4.701 * * [simplify]: Extracting #0: cost 1 inf + 0 4.701 * * [simplify]: Extracting #1: cost 21 inf + 0 4.701 * * [simplify]: Extracting #2: cost 88 inf + 0 4.702 * * [simplify]: Extracting #3: cost 131 inf + 6 4.704 * * [simplify]: Extracting #4: cost 73 inf + 12482 4.708 * * [simplify]: Extracting #5: cost 9 inf + 25028 4.714 * * [simplify]: Extracting #6: cost 0 inf + 28023 4.719 * [simplify]: Simplified to (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) 4.719 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) (fma (- (/ (cbrt -1/3) N)) (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N)) (* (/ (cbrt -1/3) N) (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N)))))) 4.720 * [simplify]: Simplifying (fma (- (/ (cbrt -1/3) N)) (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N)) (* (/ (cbrt -1/3) N) (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N)))) 4.720 * * [simplify]: iters left: 6 (10 enodes) 4.725 * * [simplify]: iters left: 5 (44 enodes) 4.736 * * [simplify]: iters left: 4 (108 enodes) 4.772 * * [simplify]: iters left: 3 (265 enodes) 4.865 * * [simplify]: iters left: 2 (461 enodes) 5.033 * * [simplify]: Extracting #0: cost 1 inf + 0 5.033 * * [simplify]: Extracting #1: cost 0 inf + 1 5.034 * [simplify]: Simplified to 0 5.034 * [simplify]: Simplified (2 2) to (λ (N) (+ (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) 0)) 5.034 * * * * [progress]: [ 4 / 151 ] simplifiying candidate # 5.034 * [simplify]: Simplifying (fma (* (cbrt (+ (/ -1/2 (* N N)) (/ 1 N))) (cbrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (cbrt (+ (/ -1/2 (* N N)) (/ 1 N))) (- (* (/ (sqrt -1/3) N) (/ (sqrt -1/3) (* N N))))) 5.034 * * [simplify]: iters left: 6 (16 enodes) 5.038 * * [simplify]: iters left: 5 (65 enodes) 5.050 * * [simplify]: iters left: 4 (114 enodes) 5.079 * * [simplify]: iters left: 3 (165 enodes) 5.112 * * [simplify]: iters left: 2 (209 enodes) 5.178 * * [simplify]: iters left: 1 (271 enodes) 5.258 * * [simplify]: Extracting #0: cost 1 inf + 0 5.258 * * [simplify]: Extracting #1: cost 20 inf + 0 5.258 * * [simplify]: Extracting #2: cost 60 inf + 0 5.258 * * [simplify]: Extracting #3: cost 71 inf + 7 5.259 * * [simplify]: Extracting #4: cost 32 inf + 3649 5.261 * * [simplify]: Extracting #5: cost 9 inf + 7545 5.264 * * [simplify]: Extracting #6: cost 0 inf + 11037 5.267 * [simplify]: Simplified to (+ (+ (/ 1 N) (/ (/ 1/3 (* N N)) N)) (/ -1/2 (* N N))) 5.267 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (+ (/ 1 N) (/ (/ 1/3 (* N N)) N)) (/ -1/2 (* N N))) (fma (- (/ (sqrt -1/3) N)) (/ (sqrt -1/3) (* N N)) (* (/ (sqrt -1/3) N) (/ (sqrt -1/3) (* N N)))))) 5.267 * [simplify]: Simplifying (fma (- (/ (sqrt -1/3) N)) (/ (sqrt -1/3) (* N N)) (* (/ (sqrt -1/3) N) (/ (sqrt -1/3) (* N N)))) 5.267 * * [simplify]: iters left: 6 (9 enodes) 5.270 * * [simplify]: iters left: 5 (37 enodes) 5.282 * * [simplify]: iters left: 4 (72 enodes) 5.308 * * [simplify]: iters left: 3 (124 enodes) 5.348 * * [simplify]: iters left: 2 (188 enodes) 5.401 * * [simplify]: iters left: 1 (249 enodes) 5.450 * * [simplify]: Extracting #0: cost 1 inf + 0 5.450 * * [simplify]: Extracting #1: cost 0 inf + 1 5.450 * [simplify]: Simplified to 0 5.451 * [simplify]: Simplified (2 2) to (λ (N) (+ (+ (+ (/ 1 N) (/ (/ 1/3 (* N N)) N)) (/ -1/2 (* N N))) 0)) 5.451 * * * * [progress]: [ 5 / 151 ] simplifiying candidate # 5.451 * [simplify]: Simplifying (fma (* (cbrt (+ (/ -1/2 (* N N)) (/ 1 N))) (cbrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (cbrt (+ (/ -1/2 (* N N)) (/ 1 N))) (- (* (/ -1/3 N) (/ 1 (* N N))))) 5.451 * * [simplify]: iters left: 6 (15 enodes) 5.460 * * [simplify]: iters left: 5 (62 enodes) 5.486 * * [simplify]: iters left: 4 (116 enodes) 5.530 * * [simplify]: iters left: 3 (200 enodes) 5.590 * * [simplify]: iters left: 2 (320 enodes) 5.716 * * [simplify]: iters left: 1 (477 enodes) 5.972 * * [simplify]: Extracting #0: cost 1 inf + 0 5.973 * * [simplify]: Extracting #1: cost 34 inf + 0 5.974 * * [simplify]: Extracting #2: cost 89 inf + 4 5.975 * * [simplify]: Extracting #3: cost 80 inf + 1769 5.982 * * [simplify]: Extracting #4: cost 20 inf + 9073 5.992 * * [simplify]: Extracting #5: cost 2 inf + 12492 5.999 * * [simplify]: Extracting #6: cost 0 inf + 13390 6.004 * [simplify]: Simplified to (+ (/ -1/2 (* N N)) (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N))) 6.004 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (/ -1/2 (* N N)) (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N))) (fma (- (/ -1/3 N)) (/ 1 (* N N)) (* (/ -1/3 N) (/ 1 (* N N)))))) 6.005 * [simplify]: Simplifying (fma (- (/ -1/3 N)) (/ 1 (* N N)) (* (/ -1/3 N) (/ 1 (* N N)))) 6.005 * * [simplify]: iters left: 6 (9 enodes) 6.008 * * [simplify]: iters left: 5 (41 enodes) 6.016 * * [simplify]: iters left: 4 (79 enodes) 6.036 * * [simplify]: iters left: 3 (157 enodes) 6.084 * * [simplify]: iters left: 2 (295 enodes) 6.181 * * [simplify]: iters left: 1 (440 enodes) 6.360 * * [simplify]: Extracting #0: cost 1 inf + 0 6.360 * * [simplify]: Extracting #1: cost 0 inf + 1 6.360 * [simplify]: Simplified to 0 6.360 * [simplify]: Simplified (2 2) to (λ (N) (+ (+ (/ -1/2 (* N N)) (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N))) 0)) 6.360 * * * * [progress]: [ 6 / 151 ] simplifiying candidate # 6.360 * [simplify]: Simplifying (fma (* (cbrt (+ (/ -1/2 (* N N)) (/ 1 N))) (cbrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (cbrt (+ (/ -1/2 (* N N)) (/ 1 N))) (- (* (/ -1/3 (* (* N N) N)) 1))) 6.360 * * [simplify]: iters left: 6 (15 enodes) 6.366 * * [simplify]: iters left: 5 (61 enodes) 6.380 * * [simplify]: iters left: 4 (95 enodes) 6.397 * * [simplify]: iters left: 3 (139 enodes) 6.428 * * [simplify]: iters left: 2 (189 enodes) 6.481 * * [simplify]: iters left: 1 (319 enodes) 6.597 * * [simplify]: Extracting #0: cost 1 inf + 0 6.597 * * [simplify]: Extracting #1: cost 19 inf + 0 6.597 * * [simplify]: Extracting #2: cost 82 inf + 2 6.598 * * [simplify]: Extracting #3: cost 113 inf + 473 6.604 * * [simplify]: Extracting #4: cost 71 inf + 6033 6.609 * * [simplify]: Extracting #5: cost 19 inf + 15198 6.617 * * [simplify]: Extracting #6: cost 0 inf + 20743 6.625 * [simplify]: Simplified to (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ (/ -1/2 N) N) (/ 1 N))) 6.625 * [simplify]: Simplified (2 1) to (λ (N) (+ (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ (/ -1/2 N) N) (/ 1 N))) (fma (- (/ -1/3 (* (* N N) N))) 1 (* (/ -1/3 (* (* N N) N)) 1)))) 6.625 * [simplify]: Simplifying (fma (- (/ -1/3 (* (* N N) N))) 1 (* (/ -1/3 (* (* N N) N)) 1)) 6.626 * * [simplify]: iters left: 6 (9 enodes) 6.632 * * [simplify]: iters left: 5 (38 enodes) 6.646 * * [simplify]: iters left: 4 (66 enodes) 6.659 * * [simplify]: iters left: 3 (100 enodes) 6.680 * * [simplify]: iters left: 2 (158 enodes) 6.742 * * [simplify]: iters left: 1 (276 enodes) 6.873 * * [simplify]: Extracting #0: cost 1 inf + 0 6.873 * * [simplify]: Extracting #1: cost 0 inf + 1 6.873 * [simplify]: Simplified to 0 6.873 * [simplify]: Simplified (2 2) to (λ (N) (+ (fma (/ 1 N) (/ 1/3 (* N N)) (+ (/ (/ -1/2 N) N) (/ 1 N))) 0)) 6.874 * * * * [progress]: [ 7 / 151 ] simplifiying candidate # 6.874 * [simplify]: Simplifying (fma (* (cbrt (+ (/ -1/2 (* N N)) (/ 1 N))) (cbrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (cbrt (+ (/ -1/2 (* N N)) (/ 1 N))) (- (* (/ 1 (* (* N N) N)) -1/3))) 6.874 * * [simplify]: iters left: 6 (15 enodes) 6.883 * * [simplify]: iters left: 5 (63 enodes) 6.894 * * [simplify]: iters left: 4 (97 enodes) 6.910 * * [simplify]: iters left: 3 (138 enodes) 6.938 * * [simplify]: iters left: 2 (212 enodes) 6.993 * * [simplify]: iters left: 1 (306 enodes) 7.104 * * [simplify]: Extracting #0: cost 1 inf + 0 7.104 * * [simplify]: Extracting #1: cost 21 inf + 0 7.105 * * [simplify]: Extracting #2: cost 81 inf + 2 7.105 * * [simplify]: Extracting #3: cost 103 inf + 304 7.106 * * [simplify]: Extracting #4: cost 60 inf + 7050 7.109 * * [simplify]: Extracting #5: cost 18 inf + 13623 7.112 * * [simplify]: Extracting #6: cost 4 inf + 18015 7.116 * * [simplify]: Extracting #7: cost 0 inf + 19397 7.120 * [simplify]: Simplified to (+ (/ (/ -1/2 N) N) (fma (/ 1 N) (/ (/ 1/3 N) N) (/ 1 N))) 7.120 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (/ (/ -1/2 N) N) (fma (/ 1 N) (/ (/ 1/3 N) N) (/ 1 N))) (fma (- (/ 1 (* (* N N) N))) -1/3 (* (/ 1 (* (* N N) N)) -1/3)))) 7.120 * [simplify]: Simplifying (fma (- (/ 1 (* (* N N) N))) -1/3 (* (/ 1 (* (* N N) N)) -1/3)) 7.120 * * [simplify]: iters left: 6 (9 enodes) 7.126 * * [simplify]: iters left: 5 (40 enodes) 7.139 * * [simplify]: iters left: 4 (66 enodes) 7.157 * * [simplify]: iters left: 3 (118 enodes) 7.181 * * [simplify]: iters left: 2 (179 enodes) 7.234 * * [simplify]: iters left: 1 (262 enodes) 7.291 * * [simplify]: Extracting #0: cost 1 inf + 0 7.291 * * [simplify]: Extracting #1: cost 0 inf + 1 7.291 * [simplify]: Simplified to 0 7.291 * [simplify]: Simplified (2 2) to (λ (N) (+ (+ (/ (/ -1/2 N) N) (fma (/ 1 N) (/ (/ 1/3 N) N) (/ 1 N))) 0)) 7.291 * * * * [progress]: [ 8 / 151 ] simplifiying candidate # 7.292 * [simplify]: Simplifying (fma (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (- (* (cbrt (/ -1/3 (* (* N N) N))) (* (cbrt (/ -1/3 (* (* N N) N))) (cbrt (/ -1/3 (* (* N N) N))))))) 7.292 * * [simplify]: iters left: 6 (16 enodes) 7.300 * * [simplify]: iters left: 5 (65 enodes) 7.320 * * [simplify]: iters left: 4 (91 enodes) 7.348 * * [simplify]: iters left: 3 (130 enodes) 7.387 * * [simplify]: iters left: 2 (195 enodes) 7.432 * * [simplify]: iters left: 1 (313 enodes) 7.529 * * [simplify]: Extracting #0: cost 1 inf + 0 7.530 * * [simplify]: Extracting #1: cost 28 inf + 0 7.531 * * [simplify]: Extracting #2: cost 122 inf + 0 7.532 * * [simplify]: Extracting #3: cost 140 inf + 954 7.534 * * [simplify]: Extracting #4: cost 106 inf + 6550 7.541 * * [simplify]: Extracting #5: cost 64 inf + 23766 7.556 * * [simplify]: Extracting #6: cost 14 inf + 58585 7.573 * * [simplify]: Extracting #7: cost 0 inf + 68829 7.583 * [simplify]: Simplified to (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) 7.583 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) (fma (- (cbrt (/ -1/3 (* (* N N) N)))) (* (cbrt (/ -1/3 (* (* N N) N))) (cbrt (/ -1/3 (* (* N N) N)))) (* (cbrt (/ -1/3 (* (* N N) N))) (* (cbrt (/ -1/3 (* (* N N) N))) (cbrt (/ -1/3 (* (* N N) N)))))))) 7.584 * [simplify]: Simplifying (fma (- (cbrt (/ -1/3 (* (* N N) N)))) (* (cbrt (/ -1/3 (* (* N N) N))) (cbrt (/ -1/3 (* (* N N) N)))) (* (cbrt (/ -1/3 (* (* N N) N))) (* (cbrt (/ -1/3 (* (* N N) N))) (cbrt (/ -1/3 (* (* N N) N)))))) 7.584 * * [simplify]: iters left: 6 (10 enodes) 7.587 * * [simplify]: iters left: 5 (38 enodes) 7.594 * * [simplify]: iters left: 4 (60 enodes) 7.617 * * [simplify]: iters left: 3 (112 enodes) 7.646 * * [simplify]: iters left: 2 (172 enodes) 7.686 * * [simplify]: iters left: 1 (249 enodes) 7.772 * * [simplify]: Extracting #0: cost 1 inf + 0 7.772 * * [simplify]: Extracting #1: cost 0 inf + 1 7.772 * [simplify]: Simplified to 0 7.772 * [simplify]: Simplified (2 2) to (λ (N) (+ (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) 0)) 7.772 * * * * [progress]: [ 9 / 151 ] simplifiying candidate # 7.773 * [simplify]: Simplifying (fma (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (- (* (sqrt (/ -1/3 (* (* N N) N))) (sqrt (/ -1/3 (* (* N N) N)))))) 7.773 * * [simplify]: iters left: 6 (15 enodes) 7.781 * * [simplify]: iters left: 5 (56 enodes) 7.800 * * [simplify]: iters left: 4 (76 enodes) 7.825 * * [simplify]: iters left: 3 (104 enodes) 7.859 * * [simplify]: iters left: 2 (138 enodes) 7.908 * * [simplify]: iters left: 1 (191 enodes) 7.957 * * [simplify]: Extracting #0: cost 1 inf + 0 7.958 * * [simplify]: Extracting #1: cost 20 inf + 0 7.958 * * [simplify]: Extracting #2: cost 60 inf + 0 7.958 * * [simplify]: Extracting #3: cost 73 inf + 5 7.959 * * [simplify]: Extracting #4: cost 50 inf + 3116 7.960 * * [simplify]: Extracting #5: cost 32 inf + 6149 7.962 * * [simplify]: Extracting #6: cost 18 inf + 10239 7.965 * * [simplify]: Extracting #7: cost 1 inf + 16229 7.969 * * [simplify]: Extracting #8: cost 0 inf + 16633 7.973 * [simplify]: Simplified to (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) 7.973 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) (fma (- (sqrt (/ -1/3 (* (* N N) N)))) (sqrt (/ -1/3 (* (* N N) N))) (* (sqrt (/ -1/3 (* (* N N) N))) (sqrt (/ -1/3 (* (* N N) N))))))) 7.973 * [simplify]: Simplifying (fma (- (sqrt (/ -1/3 (* (* N N) N)))) (sqrt (/ -1/3 (* (* N N) N))) (* (sqrt (/ -1/3 (* (* N N) N))) (sqrt (/ -1/3 (* (* N N) N))))) 7.973 * * [simplify]: iters left: 6 (9 enodes) 7.976 * * [simplify]: iters left: 5 (30 enodes) 7.981 * * [simplify]: iters left: 4 (45 enodes) 7.992 * * [simplify]: iters left: 3 (69 enodes) 8.008 * * [simplify]: iters left: 2 (94 enodes) 8.040 * * [simplify]: iters left: 1 (120 enodes) 8.072 * * [simplify]: Extracting #0: cost 1 inf + 0 8.072 * * [simplify]: Extracting #1: cost 0 inf + 1 8.073 * [simplify]: Simplified to 0 8.073 * [simplify]: Simplified (2 2) to (λ (N) (+ (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ 1/3 N) (* N N))) 0)) 8.073 * * * * [progress]: [ 10 / 151 ] simplifiying candidate # 8.073 * [simplify]: Simplifying (fma (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (- (* (/ (cbrt -1/3) N) (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N))))) 8.073 * * [simplify]: iters left: 6 (16 enodes) 8.078 * * [simplify]: iters left: 5 (69 enodes) 8.090 * * [simplify]: iters left: 4 (146 enodes) 8.141 * * [simplify]: iters left: 3 (298 enodes) 8.242 * * [simplify]: iters left: 2 (474 enodes) 8.432 * * [simplify]: Extracting #0: cost 1 inf + 0 8.432 * * [simplify]: Extracting #1: cost 32 inf + 0 8.433 * * [simplify]: Extracting #2: cost 107 inf + 0 8.434 * * [simplify]: Extracting #3: cost 115 inf + 1239 8.439 * * [simplify]: Extracting #4: cost 44 inf + 14506 8.451 * * [simplify]: Extracting #5: cost 4 inf + 25191 8.458 * * [simplify]: Extracting #6: cost 0 inf + 27056 8.465 * [simplify]: Simplified to (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ 1/3 (* (* N N) N))) 8.465 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ 1/3 (* (* N N) N))) (fma (- (/ (cbrt -1/3) N)) (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N)) (* (/ (cbrt -1/3) N) (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N)))))) 8.465 * [simplify]: Simplifying (fma (- (/ (cbrt -1/3) N)) (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N)) (* (/ (cbrt -1/3) N) (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N)))) 8.466 * * [simplify]: iters left: 6 (10 enodes) 8.469 * * [simplify]: iters left: 5 (44 enodes) 8.478 * * [simplify]: iters left: 4 (108 enodes) 8.508 * * [simplify]: iters left: 3 (265 enodes) 8.588 * * [simplify]: iters left: 2 (461 enodes) 8.725 * * [simplify]: Extracting #0: cost 1 inf + 0 8.725 * * [simplify]: Extracting #1: cost 0 inf + 1 8.725 * [simplify]: Simplified to 0 8.725 * [simplify]: Simplified (2 2) to (λ (N) (+ (+ (+ (/ -1/2 (* N N)) (/ 1 N)) (/ 1/3 (* (* N N) N))) 0)) 8.725 * * * * [progress]: [ 11 / 151 ] simplifiying candidate # 8.726 * [simplify]: Simplifying (fma (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (- (* (/ (sqrt -1/3) N) (/ (sqrt -1/3) (* N N))))) 8.726 * * [simplify]: iters left: 6 (15 enodes) 8.730 * * [simplify]: iters left: 5 (62 enodes) 8.744 * * [simplify]: iters left: 4 (107 enodes) 8.779 * * [simplify]: iters left: 3 (161 enodes) 8.828 * * [simplify]: iters left: 2 (207 enodes) 8.884 * * [simplify]: iters left: 1 (268 enodes) 8.950 * * [simplify]: Extracting #0: cost 1 inf + 0 8.950 * * [simplify]: Extracting #1: cost 20 inf + 0 8.950 * * [simplify]: Extracting #2: cost 59 inf + 0 8.950 * * [simplify]: Extracting #3: cost 69 inf + 5 8.951 * * [simplify]: Extracting #4: cost 26 inf + 5414 8.956 * * [simplify]: Extracting #5: cost 0 inf + 9281 8.959 * * [simplify]: Extracting #6: cost 0 inf + 8881 8.961 * [simplify]: Simplified to (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 N) (* N N))) 8.961 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (+ (/ (/ -1/2 N) N) (/ 1 N)) (/ (/ 1/3 N) (* N N))) (fma (- (/ (sqrt -1/3) N)) (/ (sqrt -1/3) (* N N)) (* (/ (sqrt -1/3) N) (/ (sqrt -1/3) (* N N)))))) 8.962 * [simplify]: Simplifying (fma (- (/ (sqrt -1/3) N)) (/ (sqrt -1/3) (* N N)) (* (/ (sqrt -1/3) N) (/ (sqrt -1/3) (* N N)))) 8.962 * * [simplify]: iters left: 6 (9 enodes) 8.965 * * [simplify]: iters left: 5 (37 enodes) 8.972 * * [simplify]: iters left: 4 (72 enodes) 8.988 * * [simplify]: iters left: 3 (124 enodes) 9.027 * * [simplify]: iters left: 2 (188 enodes) 9.071 * * [simplify]: iters left: 1 (249 enodes) 9.129 * * [simplify]: Extracting #0: cost 1 inf + 0 9.130 * * [simplify]: Extracting #1: cost 0 inf + 1 9.130 * [simplify]: Simplified to 0 9.130 * [simplify]: Simplified (2 2) to (λ (N) (+ (fma (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (- (* (/ (sqrt -1/3) N) (/ (sqrt -1/3) (* N N))))) 0)) 9.130 * * * * [progress]: [ 12 / 151 ] simplifiying candidate # 9.130 * [simplify]: Simplifying (fma (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (- (* (/ -1/3 N) (/ 1 (* N N))))) 9.131 * * [simplify]: iters left: 6 (14 enodes) 9.137 * * [simplify]: iters left: 5 (59 enodes) 9.158 * * [simplify]: iters left: 4 (109 enodes) 9.204 * * [simplify]: iters left: 3 (192 enodes) 9.290 * * [simplify]: iters left: 2 (316 enodes) 9.477 * * [simplify]: Extracting #0: cost 1 inf + 0 9.477 * * [simplify]: Extracting #1: cost 29 inf + 0 9.478 * * [simplify]: Extracting #2: cost 75 inf + 4 9.478 * * [simplify]: Extracting #3: cost 82 inf + 261 9.480 * * [simplify]: Extracting #4: cost 26 inf + 5131 9.484 * * [simplify]: Extracting #5: cost 0 inf + 9043 9.489 * * [simplify]: Extracting #6: cost 0 inf + 9003 9.496 * [simplify]: Simplified to (fma (/ 1 N) (/ (/ 1/3 N) N) (fma (/ -1/2 N) (/ 1 N) (/ 1 N))) 9.496 * [simplify]: Simplified (2 1) to (λ (N) (+ (fma (/ 1 N) (/ (/ 1/3 N) N) (fma (/ -1/2 N) (/ 1 N) (/ 1 N))) (fma (- (/ -1/3 N)) (/ 1 (* N N)) (* (/ -1/3 N) (/ 1 (* N N)))))) 9.496 * [simplify]: Simplifying (fma (- (/ -1/3 N)) (/ 1 (* N N)) (* (/ -1/3 N) (/ 1 (* N N)))) 9.496 * * [simplify]: iters left: 6 (9 enodes) 9.502 * * [simplify]: iters left: 5 (41 enodes) 9.519 * * [simplify]: iters left: 4 (79 enodes) 9.549 * * [simplify]: iters left: 3 (157 enodes) 9.600 * * [simplify]: iters left: 2 (295 enodes) 9.714 * * [simplify]: iters left: 1 (440 enodes) 9.938 * * [simplify]: Extracting #0: cost 1 inf + 0 9.938 * * [simplify]: Extracting #1: cost 0 inf + 1 9.938 * [simplify]: Simplified to 0 9.938 * [simplify]: Simplified (2 2) to (λ (N) (+ (fma (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (- (* (/ -1/3 N) (/ 1 (* N N))))) 0)) 9.938 * * * * [progress]: [ 13 / 151 ] simplifiying candidate # 9.938 * [simplify]: Simplifying (fma (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (- (* (/ -1/3 (* (* N N) N)) 1))) 9.938 * * [simplify]: iters left: 6 (14 enodes) 9.943 * * [simplify]: iters left: 5 (58 enodes) 9.954 * * [simplify]: iters left: 4 (88 enodes) 9.986 * * [simplify]: iters left: 3 (135 enodes) 10.030 * * [simplify]: iters left: 2 (192 enodes) 10.066 * * [simplify]: iters left: 1 (325 enodes) 10.208 * * [simplify]: Extracting #0: cost 1 inf + 0 10.208 * * [simplify]: Extracting #1: cost 19 inf + 0 10.208 * * [simplify]: Extracting #2: cost 80 inf + 2 10.209 * * [simplify]: Extracting #3: cost 115 inf + 6 10.211 * * [simplify]: Extracting #4: cost 82 inf + 3960 10.217 * * [simplify]: Extracting #5: cost 6 inf + 18027 10.224 * * [simplify]: Extracting #6: cost 1 inf + 18679 10.232 * * [simplify]: Extracting #7: cost 0 inf + 18891 10.239 * [simplify]: Simplified to (fma (/ 1 N) (/ (/ 1/3 N) N) (+ (/ (/ -1/2 N) N) (/ 1 N))) 10.240 * [simplify]: Simplified (2 1) to (λ (N) (+ (fma (/ 1 N) (/ (/ 1/3 N) N) (+ (/ (/ -1/2 N) N) (/ 1 N))) (fma (- (/ -1/3 (* (* N N) N))) 1 (* (/ -1/3 (* (* N N) N)) 1)))) 10.240 * [simplify]: Simplifying (fma (- (/ -1/3 (* (* N N) N))) 1 (* (/ -1/3 (* (* N N) N)) 1)) 10.240 * * [simplify]: iters left: 6 (9 enodes) 10.247 * * [simplify]: iters left: 5 (38 enodes) 10.261 * * [simplify]: iters left: 4 (66 enodes) 10.283 * * [simplify]: iters left: 3 (100 enodes) 10.326 * * [simplify]: iters left: 2 (158 enodes) 10.385 * * [simplify]: iters left: 1 (276 enodes) 10.513 * * [simplify]: Extracting #0: cost 1 inf + 0 10.513 * * [simplify]: Extracting #1: cost 0 inf + 1 10.513 * [simplify]: Simplified to 0 10.513 * [simplify]: Simplified (2 2) to (λ (N) (+ (fma (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (- (* (/ -1/3 (* (* N N) N)) 1))) 0)) 10.513 * * * * [progress]: [ 14 / 151 ] simplifiying candidate # 10.514 * [simplify]: Simplifying (fma (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (- (* (/ 1 (* (* N N) N)) -1/3))) 10.514 * * [simplify]: iters left: 6 (14 enodes) 10.523 * * [simplify]: iters left: 5 (60 enodes) 10.545 * * [simplify]: iters left: 4 (90 enodes) 10.576 * * [simplify]: iters left: 3 (134 enodes) 10.602 * * [simplify]: iters left: 2 (216 enodes) 10.651 * * [simplify]: iters left: 1 (316 enodes) 10.733 * * [simplify]: Extracting #0: cost 1 inf + 0 10.733 * * [simplify]: Extracting #1: cost 21 inf + 0 10.733 * * [simplify]: Extracting #2: cost 76 inf + 2 10.734 * * [simplify]: Extracting #3: cost 103 inf + 6 10.734 * * [simplify]: Extracting #4: cost 70 inf + 2941 10.737 * * [simplify]: Extracting #5: cost 15 inf + 12583 10.743 * * [simplify]: Extracting #6: cost 2 inf + 16351 10.746 * * [simplify]: Extracting #7: cost 0 inf + 17026 10.750 * [simplify]: Simplified to (+ (/ (/ 1/3 N) (* N N)) (+ (/ -1/2 (* N N)) (/ 1 N))) 10.750 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (/ (/ 1/3 N) (* N N)) (+ (/ -1/2 (* N N)) (/ 1 N))) (fma (- (/ 1 (* (* N N) N))) -1/3 (* (/ 1 (* (* N N) N)) -1/3)))) 10.750 * [simplify]: Simplifying (fma (- (/ 1 (* (* N N) N))) -1/3 (* (/ 1 (* (* N N) N)) -1/3)) 10.750 * * [simplify]: iters left: 6 (9 enodes) 10.754 * * [simplify]: iters left: 5 (40 enodes) 10.761 * * [simplify]: iters left: 4 (66 enodes) 10.773 * * [simplify]: iters left: 3 (118 enodes) 10.803 * * [simplify]: iters left: 2 (179 enodes) 10.864 * * [simplify]: iters left: 1 (262 enodes) 10.943 * * [simplify]: Extracting #0: cost 1 inf + 0 10.943 * * [simplify]: Extracting #1: cost 0 inf + 1 10.943 * [simplify]: Simplified to 0 10.943 * [simplify]: Simplified (2 2) to (λ (N) (+ (+ (/ (/ 1/3 N) (* N N)) (+ (/ -1/2 (* N N)) (/ 1 N))) 0)) 10.943 * * * * [progress]: [ 15 / 151 ] simplifiying candidate # 10.943 * [simplify]: Simplifying (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (cbrt (/ -1/3 (* (* N N) N))) (* (cbrt (/ -1/3 (* (* N N) N))) (cbrt (/ -1/3 (* (* N N) N))))))) 10.944 * * [simplify]: iters left: 6 (15 enodes) 10.952 * * [simplify]: iters left: 5 (62 enodes) 10.974 * * [simplify]: iters left: 4 (97 enodes) 11.012 * * [simplify]: iters left: 3 (149 enodes) 11.059 * * [simplify]: iters left: 2 (224 enodes) 11.115 * * [simplify]: iters left: 1 (322 enodes) 11.218 * * [simplify]: Extracting #0: cost 1 inf + 0 11.218 * * [simplify]: Extracting #1: cost 23 inf + 0 11.218 * * [simplify]: Extracting #2: cost 87 inf + 1 11.219 * * [simplify]: Extracting #3: cost 109 inf + 885 11.220 * * [simplify]: Extracting #4: cost 85 inf + 4155 11.223 * * [simplify]: Extracting #5: cost 26 inf + 25029 11.229 * * [simplify]: Extracting #6: cost 2 inf + 41256 11.239 * * [simplify]: Extracting #7: cost 0 inf + 42915 11.250 * [simplify]: Simplified to (fma (/ 1 N) (/ -1/2 N) (+ (/ (/ 1/3 (* N N)) N) (/ 1 N))) 11.250 * [simplify]: Simplified (2 1) to (λ (N) (+ (fma (/ 1 N) (/ -1/2 N) (+ (/ (/ 1/3 (* N N)) N) (/ 1 N))) (fma (- (cbrt (/ -1/3 (* (* N N) N)))) (* (cbrt (/ -1/3 (* (* N N) N))) (cbrt (/ -1/3 (* (* N N) N)))) (* (cbrt (/ -1/3 (* (* N N) N))) (* (cbrt (/ -1/3 (* (* N N) N))) (cbrt (/ -1/3 (* (* N N) N)))))))) 11.250 * [simplify]: Simplifying (fma (- (cbrt (/ -1/3 (* (* N N) N)))) (* (cbrt (/ -1/3 (* (* N N) N))) (cbrt (/ -1/3 (* (* N N) N)))) (* (cbrt (/ -1/3 (* (* N N) N))) (* (cbrt (/ -1/3 (* (* N N) N))) (cbrt (/ -1/3 (* (* N N) N)))))) 11.250 * * [simplify]: iters left: 6 (10 enodes) 11.255 * * [simplify]: iters left: 5 (38 enodes) 11.268 * * [simplify]: iters left: 4 (60 enodes) 11.284 * * [simplify]: iters left: 3 (112 enodes) 11.307 * * [simplify]: iters left: 2 (172 enodes) 11.356 * * [simplify]: iters left: 1 (249 enodes) 11.408 * * [simplify]: Extracting #0: cost 1 inf + 0 11.408 * * [simplify]: Extracting #1: cost 0 inf + 1 11.408 * [simplify]: Simplified to 0 11.408 * [simplify]: Simplified (2 2) to (λ (N) (+ (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (cbrt (/ -1/3 (* (* N N) N))) (* (cbrt (/ -1/3 (* (* N N) N))) (cbrt (/ -1/3 (* (* N N) N))))))) 0)) 11.408 * * * * [progress]: [ 16 / 151 ] simplifiying candidate # 11.409 * [simplify]: Simplifying (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (sqrt (/ -1/3 (* (* N N) N))) (sqrt (/ -1/3 (* (* N N) N)))))) 11.409 * * [simplify]: iters left: 6 (14 enodes) 11.417 * * [simplify]: iters left: 5 (53 enodes) 11.431 * * [simplify]: iters left: 4 (82 enodes) 11.449 * * [simplify]: iters left: 3 (123 enodes) 11.480 * * [simplify]: iters left: 2 (166 enodes) 11.508 * * [simplify]: iters left: 1 (210 enodes) 11.544 * * [simplify]: Extracting #0: cost 1 inf + 0 11.544 * * [simplify]: Extracting #1: cost 17 inf + 0 11.544 * * [simplify]: Extracting #2: cost 45 inf + 1 11.545 * * [simplify]: Extracting #3: cost 52 inf + 539 11.546 * * [simplify]: Extracting #4: cost 24 inf + 4937 11.550 * * [simplify]: Extracting #5: cost 10 inf + 7061 11.554 * * [simplify]: Extracting #6: cost 2 inf + 9340 11.558 * * [simplify]: Extracting #7: cost 0 inf + 10015 11.562 * [simplify]: Simplified to (- (/ -1/2 (* N N)) (- (/ (/ -1/3 (* N N)) N) (/ 1 N))) 11.562 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (/ -1/2 (* N N)) (- (/ (/ -1/3 (* N N)) N) (/ 1 N))) (fma (- (sqrt (/ -1/3 (* (* N N) N)))) (sqrt (/ -1/3 (* (* N N) N))) (* (sqrt (/ -1/3 (* (* N N) N))) (sqrt (/ -1/3 (* (* N N) N))))))) 11.562 * [simplify]: Simplifying (fma (- (sqrt (/ -1/3 (* (* N N) N)))) (sqrt (/ -1/3 (* (* N N) N))) (* (sqrt (/ -1/3 (* (* N N) N))) (sqrt (/ -1/3 (* (* N N) N))))) 11.562 * * [simplify]: iters left: 6 (9 enodes) 11.566 * * [simplify]: iters left: 5 (30 enodes) 11.571 * * [simplify]: iters left: 4 (45 enodes) 11.579 * * [simplify]: iters left: 3 (69 enodes) 11.591 * * [simplify]: iters left: 2 (94 enodes) 11.615 * * [simplify]: iters left: 1 (120 enodes) 11.634 * * [simplify]: Extracting #0: cost 1 inf + 0 11.634 * * [simplify]: Extracting #1: cost 0 inf + 1 11.634 * [simplify]: Simplified to 0 11.634 * [simplify]: Simplified (2 2) to (λ (N) (+ (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (sqrt (/ -1/3 (* (* N N) N))) (sqrt (/ -1/3 (* (* N N) N)))))) 0)) 11.634 * * * * [progress]: [ 17 / 151 ] simplifiying candidate # 11.635 * [simplify]: Simplifying (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ (cbrt -1/3) N) (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N))))) 11.635 * * [simplify]: iters left: 6 (15 enodes) 11.642 * * [simplify]: iters left: 5 (66 enodes) 11.663 * * [simplify]: iters left: 4 (152 enodes) 11.710 * * [simplify]: iters left: 3 (325 enodes) 11.799 * * [simplify]: Extracting #0: cost 1 inf + 0 11.799 * * [simplify]: Extracting #1: cost 10 inf + 0 11.800 * * [simplify]: Extracting #2: cost 67 inf + 1 11.800 * * [simplify]: Extracting #3: cost 87 inf + 1556 11.802 * * [simplify]: Extracting #4: cost 36 inf + 9332 11.808 * * [simplify]: Extracting #5: cost 1 inf + 17020 11.821 * * [simplify]: Extracting #6: cost 0 inf + 17344 11.830 * [simplify]: Simplified to (+ (+ (/ (/ 1/3 N) (* N N)) (/ 1 N)) (/ (/ -1/2 N) N)) 11.830 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (+ (/ (/ 1/3 N) (* N N)) (/ 1 N)) (/ (/ -1/2 N) N)) (fma (- (/ (cbrt -1/3) N)) (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N)) (* (/ (cbrt -1/3) N) (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N)))))) 11.831 * [simplify]: Simplifying (fma (- (/ (cbrt -1/3) N)) (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N)) (* (/ (cbrt -1/3) N) (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N)))) 11.831 * * [simplify]: iters left: 6 (10 enodes) 11.837 * * [simplify]: iters left: 5 (44 enodes) 11.848 * * [simplify]: iters left: 4 (108 enodes) 11.873 * * [simplify]: iters left: 3 (265 enodes) 11.961 * * [simplify]: iters left: 2 (461 enodes) 12.124 * * [simplify]: Extracting #0: cost 1 inf + 0 12.124 * * [simplify]: Extracting #1: cost 0 inf + 1 12.124 * [simplify]: Simplified to 0 12.125 * [simplify]: Simplified (2 2) to (λ (N) (+ (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ (cbrt -1/3) N) (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N))))) 0)) 12.125 * * * * [progress]: [ 18 / 151 ] simplifiying candidate # 12.125 * [simplify]: Simplifying (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ (sqrt -1/3) N) (/ (sqrt -1/3) (* N N))))) 12.125 * * [simplify]: iters left: 6 (14 enodes) 12.129 * * [simplify]: iters left: 5 (59 enodes) 12.141 * * [simplify]: iters left: 4 (113 enodes) 12.166 * * [simplify]: iters left: 3 (181 enodes) 12.229 * * [simplify]: iters left: 2 (243 enodes) 12.302 * * [simplify]: iters left: 1 (311 enodes) 12.380 * * [simplify]: Extracting #0: cost 1 inf + 0 12.381 * * [simplify]: Extracting #1: cost 23 inf + 0 12.381 * * [simplify]: Extracting #2: cost 61 inf + 1 12.381 * * [simplify]: Extracting #3: cost 64 inf + 581 12.383 * * [simplify]: Extracting #4: cost 17 inf + 6486 12.387 * * [simplify]: Extracting #5: cost 0 inf + 9365 12.390 * [simplify]: Simplified to (fma (/ 1 N) (/ -1/2 N) (+ (/ 1 N) (/ 1/3 (* N (* N N))))) 12.390 * [simplify]: Simplified (2 1) to (λ (N) (+ (fma (/ 1 N) (/ -1/2 N) (+ (/ 1 N) (/ 1/3 (* N (* N N))))) (fma (- (/ (sqrt -1/3) N)) (/ (sqrt -1/3) (* N N)) (* (/ (sqrt -1/3) N) (/ (sqrt -1/3) (* N N)))))) 12.390 * [simplify]: Simplifying (fma (- (/ (sqrt -1/3) N)) (/ (sqrt -1/3) (* N N)) (* (/ (sqrt -1/3) N) (/ (sqrt -1/3) (* N N)))) 12.391 * * [simplify]: iters left: 6 (9 enodes) 12.393 * * [simplify]: iters left: 5 (37 enodes) 12.400 * * [simplify]: iters left: 4 (72 enodes) 12.416 * * [simplify]: iters left: 3 (124 enodes) 12.436 * * [simplify]: iters left: 2 (188 enodes) 12.472 * * [simplify]: iters left: 1 (249 enodes) 12.538 * * [simplify]: Extracting #0: cost 1 inf + 0 12.539 * * [simplify]: Extracting #1: cost 0 inf + 1 12.539 * [simplify]: Simplified to 0 12.539 * [simplify]: Simplified (2 2) to (λ (N) (+ (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ (sqrt -1/3) N) (/ (sqrt -1/3) (* N N))))) 0)) 12.539 * * * * [progress]: [ 19 / 151 ] simplifiying candidate # 12.539 * [simplify]: Simplifying (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ -1/3 N) (/ 1 (* N N))))) 12.539 * * [simplify]: iters left: 6 (13 enodes) 12.546 * * [simplify]: iters left: 5 (56 enodes) 12.567 * * [simplify]: iters left: 4 (115 enodes) 12.592 * * [simplify]: iters left: 3 (211 enodes) 12.700 * * [simplify]: iters left: 2 (346 enodes) 12.909 * * [simplify]: Extracting #0: cost 1 inf + 0 12.909 * * [simplify]: Extracting #1: cost 28 inf + 0 12.910 * * [simplify]: Extracting #2: cost 71 inf + 4 12.912 * * [simplify]: Extracting #3: cost 56 inf + 2131 12.917 * * [simplify]: Extracting #4: cost 10 inf + 7040 12.925 * * [simplify]: Extracting #5: cost 0 inf + 8520 12.932 * * [simplify]: Extracting #6: cost 0 inf + 8505 12.940 * [simplify]: Simplified to (fma 1/3 (/ (/ 1 N) (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))) 12.940 * [simplify]: Simplified (2 1) to (λ (N) (+ (fma 1/3 (/ (/ 1 N) (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))) (fma (- (/ -1/3 N)) (/ 1 (* N N)) (* (/ -1/3 N) (/ 1 (* N N)))))) 12.941 * [simplify]: Simplifying (fma (- (/ -1/3 N)) (/ 1 (* N N)) (* (/ -1/3 N) (/ 1 (* N N)))) 12.941 * * [simplify]: iters left: 6 (9 enodes) 12.947 * * [simplify]: iters left: 5 (41 enodes) 12.962 * * [simplify]: iters left: 4 (79 enodes) 13.001 * * [simplify]: iters left: 3 (157 enodes) 13.067 * * [simplify]: iters left: 2 (295 enodes) 13.148 * * [simplify]: iters left: 1 (440 enodes) 13.311 * * [simplify]: Extracting #0: cost 1 inf + 0 13.311 * * [simplify]: Extracting #1: cost 0 inf + 1 13.311 * [simplify]: Simplified to 0 13.311 * [simplify]: Simplified (2 2) to (λ (N) (+ (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ -1/3 N) (/ 1 (* N N))))) 0)) 13.311 * * * * [progress]: [ 20 / 151 ] simplifiying candidate # 13.311 * [simplify]: Simplifying (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ -1/3 (* (* N N) N)) 1))) 13.312 * * [simplify]: iters left: 6 (13 enodes) 13.316 * * [simplify]: iters left: 5 (55 enodes) 13.327 * * [simplify]: iters left: 4 (94 enodes) 13.355 * * [simplify]: iters left: 3 (154 enodes) 13.407 * * [simplify]: iters left: 2 (234 enodes) 13.454 * * [simplify]: iters left: 1 (374 enodes) 13.608 * * [simplify]: Extracting #0: cost 1 inf + 0 13.608 * * [simplify]: Extracting #1: cost 24 inf + 0 13.609 * * [simplify]: Extracting #2: cost 93 inf + 2 13.609 * * [simplify]: Extracting #3: cost 116 inf + 909 13.612 * * [simplify]: Extracting #4: cost 50 inf + 8979 13.616 * * [simplify]: Extracting #5: cost 16 inf + 15425 13.623 * * [simplify]: Extracting #6: cost 0 inf + 20241 13.627 * [simplify]: Simplified to (fma (/ 1 N) (- 1 (/ -1/3 (* N N))) (/ -1/2 (* N N))) 13.628 * [simplify]: Simplified (2 1) to (λ (N) (+ (fma (/ 1 N) (- 1 (/ -1/3 (* N N))) (/ -1/2 (* N N))) (fma (- (/ -1/3 (* (* N N) N))) 1 (* (/ -1/3 (* (* N N) N)) 1)))) 13.628 * [simplify]: Simplifying (fma (- (/ -1/3 (* (* N N) N))) 1 (* (/ -1/3 (* (* N N) N)) 1)) 13.628 * * [simplify]: iters left: 6 (9 enodes) 13.631 * * [simplify]: iters left: 5 (38 enodes) 13.639 * * [simplify]: iters left: 4 (66 enodes) 13.650 * * [simplify]: iters left: 3 (100 enodes) 13.670 * * [simplify]: iters left: 2 (158 enodes) 13.719 * * [simplify]: iters left: 1 (276 enodes) 13.848 * * [simplify]: Extracting #0: cost 1 inf + 0 13.848 * * [simplify]: Extracting #1: cost 0 inf + 1 13.848 * [simplify]: Simplified to 0 13.848 * [simplify]: Simplified (2 2) to (λ (N) (+ (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ -1/3 (* (* N N) N)) 1))) 0)) 13.849 * * * * [progress]: [ 21 / 151 ] simplifiying candidate # 13.849 * [simplify]: Simplifying (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ 1 (* (* N N) N)) -1/3))) 13.849 * * [simplify]: iters left: 6 (13 enodes) 13.858 * * [simplify]: iters left: 5 (57 enodes) 13.878 * * [simplify]: iters left: 4 (96 enodes) 13.912 * * [simplify]: iters left: 3 (156 enodes) 13.964 * * [simplify]: iters left: 2 (267 enodes) 14.035 * * [simplify]: iters left: 1 (412 enodes) 14.195 * * [simplify]: Extracting #0: cost 1 inf + 0 14.196 * * [simplify]: Extracting #1: cost 24 inf + 0 14.196 * * [simplify]: Extracting #2: cost 96 inf + 3 14.197 * * [simplify]: Extracting #3: cost 109 inf + 1499 14.200 * * [simplify]: Extracting #4: cost 39 inf + 10586 14.205 * * [simplify]: Extracting #5: cost 7 inf + 19308 14.214 * * [simplify]: Extracting #6: cost 0 inf + 21372 14.223 * [simplify]: Simplified to (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) 14.223 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) (fma (- (/ 1 (* (* N N) N))) -1/3 (* (/ 1 (* (* N N) N)) -1/3)))) 14.224 * [simplify]: Simplifying (fma (- (/ 1 (* (* N N) N))) -1/3 (* (/ 1 (* (* N N) N)) -1/3)) 14.224 * * [simplify]: iters left: 6 (9 enodes) 14.232 * * [simplify]: iters left: 5 (40 enodes) 14.244 * * [simplify]: iters left: 4 (66 enodes) 14.257 * * [simplify]: iters left: 3 (118 enodes) 14.286 * * [simplify]: iters left: 2 (179 enodes) 14.340 * * [simplify]: iters left: 1 (262 enodes) 14.407 * * [simplify]: Extracting #0: cost 1 inf + 0 14.407 * * [simplify]: Extracting #1: cost 0 inf + 1 14.407 * [simplify]: Simplified to 0 14.408 * [simplify]: Simplified (2 2) to (λ (N) (+ (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ 1 (* (* N N) N)) -1/3))) 0)) 14.408 * * * * [progress]: [ 22 / 151 ] simplifiying candidate # 14.408 * [simplify]: Simplifying (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (cbrt (/ -1/3 (* (* N N) N))) (* (cbrt (/ -1/3 (* (* N N) N))) (cbrt (/ -1/3 (* (* N N) N))))))) 14.408 * * [simplify]: iters left: 6 (15 enodes) 14.416 * * [simplify]: iters left: 5 (62 enodes) 14.428 * * [simplify]: iters left: 4 (97 enodes) 14.450 * * [simplify]: iters left: 3 (149 enodes) 14.485 * * [simplify]: iters left: 2 (224 enodes) 14.530 * * [simplify]: iters left: 1 (322 enodes) 14.602 * * [simplify]: Extracting #0: cost 1 inf + 0 14.602 * * [simplify]: Extracting #1: cost 23 inf + 0 14.603 * * [simplify]: Extracting #2: cost 87 inf + 1 14.603 * * [simplify]: Extracting #3: cost 109 inf + 885 14.604 * * [simplify]: Extracting #4: cost 85 inf + 4155 14.607 * * [simplify]: Extracting #5: cost 26 inf + 25029 14.613 * * [simplify]: Extracting #6: cost 2 inf + 41256 14.622 * * [simplify]: Extracting #7: cost 0 inf + 42915 14.634 * [simplify]: Simplified to (fma (/ 1 N) (/ -1/2 N) (+ (/ (/ 1/3 (* N N)) N) (/ 1 N))) 14.634 * [simplify]: Simplified (2 1) to (λ (N) (+ (fma (/ 1 N) (/ -1/2 N) (+ (/ (/ 1/3 (* N N)) N) (/ 1 N))) (fma (- (cbrt (/ -1/3 (* (* N N) N)))) (* (cbrt (/ -1/3 (* (* N N) N))) (cbrt (/ -1/3 (* (* N N) N)))) (* (cbrt (/ -1/3 (* (* N N) N))) (* (cbrt (/ -1/3 (* (* N N) N))) (cbrt (/ -1/3 (* (* N N) N)))))))) 14.635 * [simplify]: Simplifying (fma (- (cbrt (/ -1/3 (* (* N N) N)))) (* (cbrt (/ -1/3 (* (* N N) N))) (cbrt (/ -1/3 (* (* N N) N)))) (* (cbrt (/ -1/3 (* (* N N) N))) (* (cbrt (/ -1/3 (* (* N N) N))) (cbrt (/ -1/3 (* (* N N) N)))))) 14.635 * * [simplify]: iters left: 6 (10 enodes) 14.640 * * [simplify]: iters left: 5 (38 enodes) 14.654 * * [simplify]: iters left: 4 (60 enodes) 14.674 * * [simplify]: iters left: 3 (112 enodes) 14.699 * * [simplify]: iters left: 2 (172 enodes) 14.732 * * [simplify]: iters left: 1 (249 enodes) 14.820 * * [simplify]: Extracting #0: cost 1 inf + 0 14.820 * * [simplify]: Extracting #1: cost 0 inf + 1 14.820 * [simplify]: Simplified to 0 14.820 * [simplify]: Simplified (2 2) to (λ (N) (+ (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (cbrt (/ -1/3 (* (* N N) N))) (* (cbrt (/ -1/3 (* (* N N) N))) (cbrt (/ -1/3 (* (* N N) N))))))) 0)) 14.820 * * * * [progress]: [ 23 / 151 ] simplifiying candidate # 14.821 * [simplify]: Simplifying (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (sqrt (/ -1/3 (* (* N N) N))) (sqrt (/ -1/3 (* (* N N) N)))))) 14.821 * * [simplify]: iters left: 6 (14 enodes) 14.829 * * [simplify]: iters left: 5 (53 enodes) 14.847 * * [simplify]: iters left: 4 (82 enodes) 14.863 * * [simplify]: iters left: 3 (123 enodes) 14.890 * * [simplify]: iters left: 2 (166 enodes) 14.944 * * [simplify]: iters left: 1 (210 enodes) 14.975 * * [simplify]: Extracting #0: cost 1 inf + 0 14.975 * * [simplify]: Extracting #1: cost 17 inf + 0 14.975 * * [simplify]: Extracting #2: cost 45 inf + 1 14.975 * * [simplify]: Extracting #3: cost 52 inf + 539 14.976 * * [simplify]: Extracting #4: cost 24 inf + 4937 14.979 * * [simplify]: Extracting #5: cost 10 inf + 7061 14.982 * * [simplify]: Extracting #6: cost 2 inf + 9340 14.987 * * [simplify]: Extracting #7: cost 0 inf + 10015 14.991 * [simplify]: Simplified to (- (/ -1/2 (* N N)) (- (/ (/ -1/3 (* N N)) N) (/ 1 N))) 14.991 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (/ -1/2 (* N N)) (- (/ (/ -1/3 (* N N)) N) (/ 1 N))) (fma (- (sqrt (/ -1/3 (* (* N N) N)))) (sqrt (/ -1/3 (* (* N N) N))) (* (sqrt (/ -1/3 (* (* N N) N))) (sqrt (/ -1/3 (* (* N N) N))))))) 14.991 * [simplify]: Simplifying (fma (- (sqrt (/ -1/3 (* (* N N) N)))) (sqrt (/ -1/3 (* (* N N) N))) (* (sqrt (/ -1/3 (* (* N N) N))) (sqrt (/ -1/3 (* (* N N) N))))) 14.991 * * [simplify]: iters left: 6 (9 enodes) 14.996 * * [simplify]: iters left: 5 (30 enodes) 15.006 * * [simplify]: iters left: 4 (45 enodes) 15.017 * * [simplify]: iters left: 3 (69 enodes) 15.031 * * [simplify]: iters left: 2 (94 enodes) 15.049 * * [simplify]: iters left: 1 (120 enodes) 15.081 * * [simplify]: Extracting #0: cost 1 inf + 0 15.082 * * [simplify]: Extracting #1: cost 0 inf + 1 15.082 * [simplify]: Simplified to 0 15.082 * [simplify]: Simplified (2 2) to (λ (N) (+ (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (sqrt (/ -1/3 (* (* N N) N))) (sqrt (/ -1/3 (* (* N N) N)))))) 0)) 15.082 * * * * [progress]: [ 24 / 151 ] simplifiying candidate # 15.082 * [simplify]: Simplifying (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ (cbrt -1/3) N) (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N))))) 15.082 * * [simplify]: iters left: 6 (15 enodes) 15.088 * * [simplify]: iters left: 5 (66 enodes) 15.102 * * [simplify]: iters left: 4 (152 enodes) 15.160 * * [simplify]: iters left: 3 (325 enodes) 15.253 * * [simplify]: Extracting #0: cost 1 inf + 0 15.253 * * [simplify]: Extracting #1: cost 10 inf + 0 15.254 * * [simplify]: Extracting #2: cost 67 inf + 1 15.254 * * [simplify]: Extracting #3: cost 87 inf + 1556 15.256 * * [simplify]: Extracting #4: cost 36 inf + 9332 15.260 * * [simplify]: Extracting #5: cost 1 inf + 17020 15.264 * * [simplify]: Extracting #6: cost 0 inf + 17344 15.273 * [simplify]: Simplified to (+ (+ (/ (/ 1/3 N) (* N N)) (/ 1 N)) (/ (/ -1/2 N) N)) 15.273 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (+ (/ (/ 1/3 N) (* N N)) (/ 1 N)) (/ (/ -1/2 N) N)) (fma (- (/ (cbrt -1/3) N)) (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N)) (* (/ (cbrt -1/3) N) (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N)))))) 15.274 * [simplify]: Simplifying (fma (- (/ (cbrt -1/3) N)) (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N)) (* (/ (cbrt -1/3) N) (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N)))) 15.274 * * [simplify]: iters left: 6 (10 enodes) 15.280 * * [simplify]: iters left: 5 (44 enodes) 15.298 * * [simplify]: iters left: 4 (108 enodes) 15.335 * * [simplify]: iters left: 3 (265 enodes) 15.427 * * [simplify]: iters left: 2 (461 enodes) 15.583 * * [simplify]: Extracting #0: cost 1 inf + 0 15.583 * * [simplify]: Extracting #1: cost 0 inf + 1 15.583 * [simplify]: Simplified to 0 15.583 * [simplify]: Simplified (2 2) to (λ (N) (+ (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ (cbrt -1/3) N) (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N))))) 0)) 15.583 * * * * [progress]: [ 25 / 151 ] simplifiying candidate # 15.584 * [simplify]: Simplifying (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ (sqrt -1/3) N) (/ (sqrt -1/3) (* N N))))) 15.584 * * [simplify]: iters left: 6 (14 enodes) 15.588 * * [simplify]: iters left: 5 (59 enodes) 15.603 * * [simplify]: iters left: 4 (113 enodes) 15.638 * * [simplify]: iters left: 3 (181 enodes) 15.668 * * [simplify]: iters left: 2 (243 enodes) 15.741 * * [simplify]: iters left: 1 (311 enodes) 15.832 * * [simplify]: Extracting #0: cost 1 inf + 0 15.832 * * [simplify]: Extracting #1: cost 23 inf + 0 15.833 * * [simplify]: Extracting #2: cost 61 inf + 1 15.833 * * [simplify]: Extracting #3: cost 64 inf + 581 15.837 * * [simplify]: Extracting #4: cost 17 inf + 6486 15.843 * * [simplify]: Extracting #5: cost 0 inf + 9365 15.849 * [simplify]: Simplified to (fma (/ 1 N) (/ -1/2 N) (+ (/ 1 N) (/ 1/3 (* N (* N N))))) 15.849 * [simplify]: Simplified (2 1) to (λ (N) (+ (fma (/ 1 N) (/ -1/2 N) (+ (/ 1 N) (/ 1/3 (* N (* N N))))) (fma (- (/ (sqrt -1/3) N)) (/ (sqrt -1/3) (* N N)) (* (/ (sqrt -1/3) N) (/ (sqrt -1/3) (* N N)))))) 15.850 * [simplify]: Simplifying (fma (- (/ (sqrt -1/3) N)) (/ (sqrt -1/3) (* N N)) (* (/ (sqrt -1/3) N) (/ (sqrt -1/3) (* N N)))) 15.850 * * [simplify]: iters left: 6 (9 enodes) 15.855 * * [simplify]: iters left: 5 (37 enodes) 15.862 * * [simplify]: iters left: 4 (72 enodes) 15.875 * * [simplify]: iters left: 3 (124 enodes) 15.904 * * [simplify]: iters left: 2 (188 enodes) 15.954 * * [simplify]: iters left: 1 (249 enodes) 16.002 * * [simplify]: Extracting #0: cost 1 inf + 0 16.002 * * [simplify]: Extracting #1: cost 0 inf + 1 16.002 * [simplify]: Simplified to 0 16.002 * [simplify]: Simplified (2 2) to (λ (N) (+ (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ (sqrt -1/3) N) (/ (sqrt -1/3) (* N N))))) 0)) 16.002 * * * * [progress]: [ 26 / 151 ] simplifiying candidate # 16.003 * [simplify]: Simplifying (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ -1/3 N) (/ 1 (* N N))))) 16.003 * * [simplify]: iters left: 6 (13 enodes) 16.010 * * [simplify]: iters left: 5 (56 enodes) 16.033 * * [simplify]: iters left: 4 (115 enodes) 16.080 * * [simplify]: iters left: 3 (211 enodes) 16.167 * * [simplify]: iters left: 2 (346 enodes) 16.329 * * [simplify]: Extracting #0: cost 1 inf + 0 16.330 * * [simplify]: Extracting #1: cost 28 inf + 0 16.330 * * [simplify]: Extracting #2: cost 71 inf + 4 16.332 * * [simplify]: Extracting #3: cost 56 inf + 2131 16.338 * * [simplify]: Extracting #4: cost 10 inf + 7040 16.345 * * [simplify]: Extracting #5: cost 0 inf + 8520 16.353 * * [simplify]: Extracting #6: cost 0 inf + 8505 16.361 * [simplify]: Simplified to (fma 1/3 (/ (/ 1 N) (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))) 16.361 * [simplify]: Simplified (2 1) to (λ (N) (+ (fma 1/3 (/ (/ 1 N) (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))) (fma (- (/ -1/3 N)) (/ 1 (* N N)) (* (/ -1/3 N) (/ 1 (* N N)))))) 16.361 * [simplify]: Simplifying (fma (- (/ -1/3 N)) (/ 1 (* N N)) (* (/ -1/3 N) (/ 1 (* N N)))) 16.361 * * [simplify]: iters left: 6 (9 enodes) 16.367 * * [simplify]: iters left: 5 (41 enodes) 16.381 * * [simplify]: iters left: 4 (79 enodes) 16.414 * * [simplify]: iters left: 3 (157 enodes) 16.466 * * [simplify]: iters left: 2 (295 enodes) 16.575 * * [simplify]: iters left: 1 (440 enodes) 16.780 * * [simplify]: Extracting #0: cost 1 inf + 0 16.780 * * [simplify]: Extracting #1: cost 0 inf + 1 16.780 * [simplify]: Simplified to 0 16.780 * [simplify]: Simplified (2 2) to (λ (N) (+ (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ -1/3 N) (/ 1 (* N N))))) 0)) 16.780 * * * * [progress]: [ 27 / 151 ] simplifiying candidate # 16.781 * [simplify]: Simplifying (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ -1/3 (* (* N N) N)) 1))) 16.781 * * [simplify]: iters left: 6 (13 enodes) 16.789 * * [simplify]: iters left: 5 (55 enodes) 16.810 * * [simplify]: iters left: 4 (94 enodes) 16.842 * * [simplify]: iters left: 3 (154 enodes) 16.874 * * [simplify]: iters left: 2 (234 enodes) 16.939 * * [simplify]: iters left: 1 (374 enodes) 17.086 * * [simplify]: Extracting #0: cost 1 inf + 0 17.086 * * [simplify]: Extracting #1: cost 24 inf + 0 17.087 * * [simplify]: Extracting #2: cost 93 inf + 2 17.088 * * [simplify]: Extracting #3: cost 116 inf + 909 17.093 * * [simplify]: Extracting #4: cost 50 inf + 8979 17.101 * * [simplify]: Extracting #5: cost 16 inf + 15425 17.110 * * [simplify]: Extracting #6: cost 0 inf + 20241 17.120 * [simplify]: Simplified to (fma (/ 1 N) (- 1 (/ -1/3 (* N N))) (/ -1/2 (* N N))) 17.120 * [simplify]: Simplified (2 1) to (λ (N) (+ (fma (/ 1 N) (- 1 (/ -1/3 (* N N))) (/ -1/2 (* N N))) (fma (- (/ -1/3 (* (* N N) N))) 1 (* (/ -1/3 (* (* N N) N)) 1)))) 17.120 * [simplify]: Simplifying (fma (- (/ -1/3 (* (* N N) N))) 1 (* (/ -1/3 (* (* N N) N)) 1)) 17.120 * * [simplify]: iters left: 6 (9 enodes) 17.126 * * [simplify]: iters left: 5 (38 enodes) 17.141 * * [simplify]: iters left: 4 (66 enodes) 17.162 * * [simplify]: iters left: 3 (100 enodes) 17.185 * * [simplify]: iters left: 2 (158 enodes) 17.228 * * [simplify]: iters left: 1 (276 enodes) 17.305 * * [simplify]: Extracting #0: cost 1 inf + 0 17.305 * * [simplify]: Extracting #1: cost 0 inf + 1 17.305 * [simplify]: Simplified to 0 17.305 * [simplify]: Simplified (2 2) to (λ (N) (+ (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ -1/3 (* (* N N) N)) 1))) 0)) 17.305 * * * * [progress]: [ 28 / 151 ] simplifiying candidate # 17.305 * [simplify]: Simplifying (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ 1 (* (* N N) N)) -1/3))) 17.306 * * [simplify]: iters left: 6 (13 enodes) 17.314 * * [simplify]: iters left: 5 (57 enodes) 17.336 * * [simplify]: iters left: 4 (96 enodes) 17.369 * * [simplify]: iters left: 3 (156 enodes) 17.403 * * [simplify]: iters left: 2 (267 enodes) 17.463 * * [simplify]: iters left: 1 (412 enodes) 17.616 * * [simplify]: Extracting #0: cost 1 inf + 0 17.616 * * [simplify]: Extracting #1: cost 24 inf + 0 17.617 * * [simplify]: Extracting #2: cost 96 inf + 3 17.619 * * [simplify]: Extracting #3: cost 109 inf + 1499 17.624 * * [simplify]: Extracting #4: cost 39 inf + 10586 17.633 * * [simplify]: Extracting #5: cost 7 inf + 19308 17.646 * * [simplify]: Extracting #6: cost 0 inf + 21372 17.655 * [simplify]: Simplified to (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) 17.655 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) (fma (- (/ 1 (* (* N N) N))) -1/3 (* (/ 1 (* (* N N) N)) -1/3)))) 17.656 * [simplify]: Simplifying (fma (- (/ 1 (* (* N N) N))) -1/3 (* (/ 1 (* (* N N) N)) -1/3)) 17.656 * * [simplify]: iters left: 6 (9 enodes) 17.662 * * [simplify]: iters left: 5 (40 enodes) 17.673 * * [simplify]: iters left: 4 (66 enodes) 17.685 * * [simplify]: iters left: 3 (118 enodes) 17.704 * * [simplify]: iters left: 2 (179 enodes) 17.761 * * [simplify]: iters left: 1 (262 enodes) 17.835 * * [simplify]: Extracting #0: cost 1 inf + 0 17.835 * * [simplify]: Extracting #1: cost 0 inf + 1 17.835 * [simplify]: Simplified to 0 17.836 * [simplify]: Simplified (2 2) to (λ (N) (+ (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ 1 (* (* N N) N)) -1/3))) 0)) 17.836 * * * * [progress]: [ 29 / 151 ] simplifiying candidate # 17.836 * [simplify]: Simplifying (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (cbrt (/ -1/3 (* (* N N) N))) (* (cbrt (/ -1/3 (* (* N N) N))) (cbrt (/ -1/3 (* (* N N) N))))))) 17.836 * * [simplify]: iters left: 6 (15 enodes) 17.842 * * [simplify]: iters left: 5 (62 enodes) 17.853 * * [simplify]: iters left: 4 (97 enodes) 17.875 * * [simplify]: iters left: 3 (149 enodes) 17.901 * * [simplify]: iters left: 2 (224 enodes) 17.936 * * [simplify]: iters left: 1 (322 enodes) 17.994 * * [simplify]: Extracting #0: cost 1 inf + 0 17.994 * * [simplify]: Extracting #1: cost 23 inf + 0 17.995 * * [simplify]: Extracting #2: cost 87 inf + 1 17.995 * * [simplify]: Extracting #3: cost 109 inf + 885 17.996 * * [simplify]: Extracting #4: cost 85 inf + 4155 17.999 * * [simplify]: Extracting #5: cost 26 inf + 25029 18.005 * * [simplify]: Extracting #6: cost 2 inf + 41256 18.013 * * [simplify]: Extracting #7: cost 0 inf + 42915 18.019 * [simplify]: Simplified to (fma (/ 1 N) (/ -1/2 N) (+ (/ (/ 1/3 (* N N)) N) (/ 1 N))) 18.019 * [simplify]: Simplified (2 1) to (λ (N) (+ (fma (/ 1 N) (/ -1/2 N) (+ (/ (/ 1/3 (* N N)) N) (/ 1 N))) (fma (- (cbrt (/ -1/3 (* (* N N) N)))) (* (cbrt (/ -1/3 (* (* N N) N))) (cbrt (/ -1/3 (* (* N N) N)))) (* (cbrt (/ -1/3 (* (* N N) N))) (* (cbrt (/ -1/3 (* (* N N) N))) (cbrt (/ -1/3 (* (* N N) N)))))))) 18.020 * [simplify]: Simplifying (fma (- (cbrt (/ -1/3 (* (* N N) N)))) (* (cbrt (/ -1/3 (* (* N N) N))) (cbrt (/ -1/3 (* (* N N) N)))) (* (cbrt (/ -1/3 (* (* N N) N))) (* (cbrt (/ -1/3 (* (* N N) N))) (cbrt (/ -1/3 (* (* N N) N)))))) 18.020 * * [simplify]: iters left: 6 (10 enodes) 18.023 * * [simplify]: iters left: 5 (38 enodes) 18.030 * * [simplify]: iters left: 4 (60 enodes) 18.050 * * [simplify]: iters left: 3 (112 enodes) 18.084 * * [simplify]: iters left: 2 (172 enodes) 18.113 * * [simplify]: iters left: 1 (249 enodes) 18.158 * * [simplify]: Extracting #0: cost 1 inf + 0 18.158 * * [simplify]: Extracting #1: cost 0 inf + 1 18.158 * [simplify]: Simplified to 0 18.158 * [simplify]: Simplified (2 2) to (λ (N) (+ (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (cbrt (/ -1/3 (* (* N N) N))) (* (cbrt (/ -1/3 (* (* N N) N))) (cbrt (/ -1/3 (* (* N N) N))))))) 0)) 18.158 * * * * [progress]: [ 30 / 151 ] simplifiying candidate # 18.158 * [simplify]: Simplifying (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (sqrt (/ -1/3 (* (* N N) N))) (sqrt (/ -1/3 (* (* N N) N)))))) 18.158 * * [simplify]: iters left: 6 (14 enodes) 18.164 * * [simplify]: iters left: 5 (53 enodes) 18.181 * * [simplify]: iters left: 4 (82 enodes) 18.199 * * [simplify]: iters left: 3 (123 enodes) 18.228 * * [simplify]: iters left: 2 (166 enodes) 18.277 * * [simplify]: iters left: 1 (210 enodes) 18.340 * * [simplify]: Extracting #0: cost 1 inf + 0 18.341 * * [simplify]: Extracting #1: cost 17 inf + 0 18.341 * * [simplify]: Extracting #2: cost 45 inf + 1 18.341 * * [simplify]: Extracting #3: cost 52 inf + 539 18.342 * * [simplify]: Extracting #4: cost 24 inf + 4937 18.344 * * [simplify]: Extracting #5: cost 10 inf + 7061 18.346 * * [simplify]: Extracting #6: cost 2 inf + 9340 18.347 * * [simplify]: Extracting #7: cost 0 inf + 10015 18.350 * [simplify]: Simplified to (- (/ -1/2 (* N N)) (- (/ (/ -1/3 (* N N)) N) (/ 1 N))) 18.350 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (/ -1/2 (* N N)) (- (/ (/ -1/3 (* N N)) N) (/ 1 N))) (fma (- (sqrt (/ -1/3 (* (* N N) N)))) (sqrt (/ -1/3 (* (* N N) N))) (* (sqrt (/ -1/3 (* (* N N) N))) (sqrt (/ -1/3 (* (* N N) N))))))) 18.350 * [simplify]: Simplifying (fma (- (sqrt (/ -1/3 (* (* N N) N)))) (sqrt (/ -1/3 (* (* N N) N))) (* (sqrt (/ -1/3 (* (* N N) N))) (sqrt (/ -1/3 (* (* N N) N))))) 18.350 * * [simplify]: iters left: 6 (9 enodes) 18.353 * * [simplify]: iters left: 5 (30 enodes) 18.358 * * [simplify]: iters left: 4 (45 enodes) 18.366 * * [simplify]: iters left: 3 (69 enodes) 18.380 * * [simplify]: iters left: 2 (94 enodes) 18.407 * * [simplify]: iters left: 1 (120 enodes) 18.426 * * [simplify]: Extracting #0: cost 1 inf + 0 18.427 * * [simplify]: Extracting #1: cost 0 inf + 1 18.427 * [simplify]: Simplified to 0 18.427 * [simplify]: Simplified (2 2) to (λ (N) (+ (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (sqrt (/ -1/3 (* (* N N) N))) (sqrt (/ -1/3 (* (* N N) N)))))) 0)) 18.427 * * * * [progress]: [ 31 / 151 ] simplifiying candidate # 18.427 * [simplify]: Simplifying (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ (cbrt -1/3) N) (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N))))) 18.427 * * [simplify]: iters left: 6 (15 enodes) 18.434 * * [simplify]: iters left: 5 (66 enodes) 18.447 * * [simplify]: iters left: 4 (152 enodes) 18.493 * * [simplify]: iters left: 3 (325 enodes) 18.586 * * [simplify]: Extracting #0: cost 1 inf + 0 18.586 * * [simplify]: Extracting #1: cost 10 inf + 0 18.587 * * [simplify]: Extracting #2: cost 67 inf + 1 18.588 * * [simplify]: Extracting #3: cost 87 inf + 1556 18.591 * * [simplify]: Extracting #4: cost 36 inf + 9332 18.599 * * [simplify]: Extracting #5: cost 1 inf + 17020 18.611 * * [simplify]: Extracting #6: cost 0 inf + 17344 18.619 * [simplify]: Simplified to (+ (+ (/ (/ 1/3 N) (* N N)) (/ 1 N)) (/ (/ -1/2 N) N)) 18.619 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (+ (/ (/ 1/3 N) (* N N)) (/ 1 N)) (/ (/ -1/2 N) N)) (fma (- (/ (cbrt -1/3) N)) (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N)) (* (/ (cbrt -1/3) N) (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N)))))) 18.620 * [simplify]: Simplifying (fma (- (/ (cbrt -1/3) N)) (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N)) (* (/ (cbrt -1/3) N) (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N)))) 18.620 * * [simplify]: iters left: 6 (10 enodes) 18.626 * * [simplify]: iters left: 5 (44 enodes) 18.643 * * [simplify]: iters left: 4 (108 enodes) 18.695 * * [simplify]: iters left: 3 (265 enodes) 18.790 * * [simplify]: iters left: 2 (461 enodes) 19.002 * * [simplify]: Extracting #0: cost 1 inf + 0 19.002 * * [simplify]: Extracting #1: cost 0 inf + 1 19.002 * [simplify]: Simplified to 0 19.002 * [simplify]: Simplified (2 2) to (λ (N) (+ (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ (cbrt -1/3) N) (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N))))) 0)) 19.002 * * * * [progress]: [ 32 / 151 ] simplifiying candidate # 19.003 * [simplify]: Simplifying (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ (sqrt -1/3) N) (/ (sqrt -1/3) (* N N))))) 19.003 * * [simplify]: iters left: 6 (14 enodes) 19.011 * * [simplify]: iters left: 5 (59 enodes) 19.033 * * [simplify]: iters left: 4 (113 enodes) 19.075 * * [simplify]: iters left: 3 (181 enodes) 19.136 * * [simplify]: iters left: 2 (243 enodes) 19.208 * * [simplify]: iters left: 1 (311 enodes) 19.277 * * [simplify]: Extracting #0: cost 1 inf + 0 19.277 * * [simplify]: Extracting #1: cost 23 inf + 0 19.277 * * [simplify]: Extracting #2: cost 61 inf + 1 19.278 * * [simplify]: Extracting #3: cost 64 inf + 581 19.279 * * [simplify]: Extracting #4: cost 17 inf + 6486 19.285 * * [simplify]: Extracting #5: cost 0 inf + 9365 19.291 * [simplify]: Simplified to (fma (/ 1 N) (/ -1/2 N) (+ (/ 1 N) (/ 1/3 (* N (* N N))))) 19.291 * [simplify]: Simplified (2 1) to (λ (N) (+ (fma (/ 1 N) (/ -1/2 N) (+ (/ 1 N) (/ 1/3 (* N (* N N))))) (fma (- (/ (sqrt -1/3) N)) (/ (sqrt -1/3) (* N N)) (* (/ (sqrt -1/3) N) (/ (sqrt -1/3) (* N N)))))) 19.291 * [simplify]: Simplifying (fma (- (/ (sqrt -1/3) N)) (/ (sqrt -1/3) (* N N)) (* (/ (sqrt -1/3) N) (/ (sqrt -1/3) (* N N)))) 19.292 * * [simplify]: iters left: 6 (9 enodes) 19.297 * * [simplify]: iters left: 5 (37 enodes) 19.310 * * [simplify]: iters left: 4 (72 enodes) 19.338 * * [simplify]: iters left: 3 (124 enodes) 19.360 * * [simplify]: iters left: 2 (188 enodes) 19.397 * * [simplify]: iters left: 1 (249 enodes) 19.452 * * [simplify]: Extracting #0: cost 1 inf + 0 19.452 * * [simplify]: Extracting #1: cost 0 inf + 1 19.452 * [simplify]: Simplified to 0 19.452 * [simplify]: Simplified (2 2) to (λ (N) (+ (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ (sqrt -1/3) N) (/ (sqrt -1/3) (* N N))))) 0)) 19.452 * * * * [progress]: [ 33 / 151 ] simplifiying candidate # 19.452 * [simplify]: Simplifying (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ -1/3 N) (/ 1 (* N N))))) 19.452 * * [simplify]: iters left: 6 (13 enodes) 19.456 * * [simplify]: iters left: 5 (56 enodes) 19.467 * * [simplify]: iters left: 4 (115 enodes) 19.500 * * [simplify]: iters left: 3 (211 enodes) 19.567 * * [simplify]: iters left: 2 (346 enodes) 19.731 * * [simplify]: Extracting #0: cost 1 inf + 0 19.731 * * [simplify]: Extracting #1: cost 28 inf + 0 19.732 * * [simplify]: Extracting #2: cost 71 inf + 4 19.734 * * [simplify]: Extracting #3: cost 56 inf + 2131 19.738 * * [simplify]: Extracting #4: cost 10 inf + 7040 19.742 * * [simplify]: Extracting #5: cost 0 inf + 8520 19.746 * * [simplify]: Extracting #6: cost 0 inf + 8505 19.750 * [simplify]: Simplified to (fma 1/3 (/ (/ 1 N) (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))) 19.750 * [simplify]: Simplified (2 1) to (λ (N) (+ (fma 1/3 (/ (/ 1 N) (* N N)) (+ (/ 1 N) (/ -1/2 (* N N)))) (fma (- (/ -1/3 N)) (/ 1 (* N N)) (* (/ -1/3 N) (/ 1 (* N N)))))) 19.751 * [simplify]: Simplifying (fma (- (/ -1/3 N)) (/ 1 (* N N)) (* (/ -1/3 N) (/ 1 (* N N)))) 19.751 * * [simplify]: iters left: 6 (9 enodes) 19.754 * * [simplify]: iters left: 5 (41 enodes) 19.763 * * [simplify]: iters left: 4 (79 enodes) 19.791 * * [simplify]: iters left: 3 (157 enodes) 19.856 * * [simplify]: iters left: 2 (295 enodes) 19.961 * * [simplify]: iters left: 1 (440 enodes) 20.191 * * [simplify]: Extracting #0: cost 1 inf + 0 20.191 * * [simplify]: Extracting #1: cost 0 inf + 1 20.191 * [simplify]: Simplified to 0 20.191 * [simplify]: Simplified (2 2) to (λ (N) (+ (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ -1/3 N) (/ 1 (* N N))))) 0)) 20.191 * * * * [progress]: [ 34 / 151 ] simplifiying candidate # 20.191 * [simplify]: Simplifying (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ -1/3 (* (* N N) N)) 1))) 20.192 * * [simplify]: iters left: 6 (13 enodes) 20.200 * * [simplify]: iters left: 5 (55 enodes) 20.221 * * [simplify]: iters left: 4 (94 enodes) 20.254 * * [simplify]: iters left: 3 (154 enodes) 20.291 * * [simplify]: iters left: 2 (234 enodes) 20.358 * * [simplify]: iters left: 1 (374 enodes) 20.496 * * [simplify]: Extracting #0: cost 1 inf + 0 20.496 * * [simplify]: Extracting #1: cost 24 inf + 0 20.497 * * [simplify]: Extracting #2: cost 93 inf + 2 20.497 * * [simplify]: Extracting #3: cost 116 inf + 909 20.500 * * [simplify]: Extracting #4: cost 50 inf + 8979 20.504 * * [simplify]: Extracting #5: cost 16 inf + 15425 20.509 * * [simplify]: Extracting #6: cost 0 inf + 20241 20.516 * [simplify]: Simplified to (fma (/ 1 N) (- 1 (/ -1/3 (* N N))) (/ -1/2 (* N N))) 20.516 * [simplify]: Simplified (2 1) to (λ (N) (+ (fma (/ 1 N) (- 1 (/ -1/3 (* N N))) (/ -1/2 (* N N))) (fma (- (/ -1/3 (* (* N N) N))) 1 (* (/ -1/3 (* (* N N) N)) 1)))) 20.516 * [simplify]: Simplifying (fma (- (/ -1/3 (* (* N N) N))) 1 (* (/ -1/3 (* (* N N) N)) 1)) 20.517 * * [simplify]: iters left: 6 (9 enodes) 20.520 * * [simplify]: iters left: 5 (38 enodes) 20.534 * * [simplify]: iters left: 4 (66 enodes) 20.556 * * [simplify]: iters left: 3 (100 enodes) 20.596 * * [simplify]: iters left: 2 (158 enodes) 20.653 * * [simplify]: iters left: 1 (276 enodes) 20.730 * * [simplify]: Extracting #0: cost 1 inf + 0 20.730 * * [simplify]: Extracting #1: cost 0 inf + 1 20.730 * [simplify]: Simplified to 0 20.730 * [simplify]: Simplified (2 2) to (λ (N) (+ (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ -1/3 (* (* N N) N)) 1))) 0)) 20.731 * * * * [progress]: [ 35 / 151 ] simplifiying candidate # 20.731 * [simplify]: Simplifying (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ 1 (* (* N N) N)) -1/3))) 20.731 * * [simplify]: iters left: 6 (13 enodes) 20.740 * * [simplify]: iters left: 5 (57 enodes) 20.751 * * [simplify]: iters left: 4 (96 enodes) 20.769 * * [simplify]: iters left: 3 (156 enodes) 20.815 * * [simplify]: iters left: 2 (267 enodes) 20.899 * * [simplify]: iters left: 1 (412 enodes) 21.077 * * [simplify]: Extracting #0: cost 1 inf + 0 21.077 * * [simplify]: Extracting #1: cost 24 inf + 0 21.077 * * [simplify]: Extracting #2: cost 96 inf + 3 21.078 * * [simplify]: Extracting #3: cost 109 inf + 1499 21.081 * * [simplify]: Extracting #4: cost 39 inf + 10586 21.086 * * [simplify]: Extracting #5: cost 7 inf + 19308 21.090 * * [simplify]: Extracting #6: cost 0 inf + 21372 21.097 * [simplify]: Simplified to (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) 21.097 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) (fma (- (/ 1 (* (* N N) N))) -1/3 (* (/ 1 (* (* N N) N)) -1/3)))) 21.098 * [simplify]: Simplifying (fma (- (/ 1 (* (* N N) N))) -1/3 (* (/ 1 (* (* N N) N)) -1/3)) 21.098 * * [simplify]: iters left: 6 (9 enodes) 21.105 * * [simplify]: iters left: 5 (40 enodes) 21.119 * * [simplify]: iters left: 4 (66 enodes) 21.142 * * [simplify]: iters left: 3 (118 enodes) 21.181 * * [simplify]: iters left: 2 (179 enodes) 21.212 * * [simplify]: iters left: 1 (262 enodes) 21.277 * * [simplify]: Extracting #0: cost 1 inf + 0 21.277 * * [simplify]: Extracting #1: cost 0 inf + 1 21.277 * [simplify]: Simplified to 0 21.277 * [simplify]: Simplified (2 2) to (λ (N) (+ (fma 1 (+ (/ -1/2 (* N N)) (/ 1 N)) (- (* (/ 1 (* (* N N) N)) -1/3))) 0)) 21.277 * * * * [progress]: [ 36 / 151 ] simplifiying candidate # 21.277 * * * * [progress]: [ 37 / 151 ] simplifiying candidate # 21.277 * * * * [progress]: [ 38 / 151 ] simplifiying candidate # 21.277 * [simplify]: Simplifying (* (cbrt (+ (/ -1/2 (* N N)) (/ 1 N))) (cbrt (+ (/ -1/2 (* N N)) (/ 1 N)))) 21.278 * * [simplify]: iters left: 6 (9 enodes) 21.283 * * [simplify]: iters left: 5 (32 enodes) 21.293 * * [simplify]: iters left: 4 (36 enodes) 21.303 * * [simplify]: Extracting #0: cost 1 inf + 0 21.303 * * [simplify]: Extracting #1: cost 3 inf + 0 21.303 * * [simplify]: Extracting #2: cost 5 inf + 0 21.303 * * [simplify]: Extracting #3: cost 8 inf + 0 21.303 * * [simplify]: Extracting #4: cost 15 inf + 0 21.303 * * [simplify]: Extracting #5: cost 13 inf + 45 21.303 * * [simplify]: Extracting #6: cost 8 inf + 293 21.303 * * [simplify]: Extracting #7: cost 3 inf + 986 21.304 * * [simplify]: Extracting #8: cost 0 inf + 1795 21.304 * [simplify]: Simplified to (* (cbrt (+ (/ -1/2 (* N N)) (/ 1 N))) (cbrt (+ (/ -1/2 (* N N)) (/ 1 N)))) 21.304 * [simplify]: Simplified (2 1) to (λ (N) (fma (* (cbrt (+ (/ -1/2 (* N N)) (/ 1 N))) (cbrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (cbrt (+ (/ -1/2 (* N N)) (/ 1 N))) (- (/ -1/3 (* (* N N) N))))) 21.304 * * * * [progress]: [ 39 / 151 ] simplifiying candidate # 21.304 * [simplify]: Simplifying (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) 21.304 * * [simplify]: iters left: 6 (8 enodes) 21.307 * * [simplify]: iters left: 5 (29 enodes) 21.312 * * [simplify]: iters left: 4 (33 enodes) 21.317 * * [simplify]: Extracting #0: cost 1 inf + 0 21.317 * * [simplify]: Extracting #1: cost 3 inf + 0 21.317 * * [simplify]: Extracting #2: cost 6 inf + 0 21.317 * * [simplify]: Extracting #3: cost 13 inf + 0 21.317 * * [simplify]: Extracting #4: cost 11 inf + 45 21.317 * * [simplify]: Extracting #5: cost 5 inf + 335 21.317 * * [simplify]: Extracting #6: cost 0 inf + 1149 21.318 * [simplify]: Simplified to (sqrt (+ (/ (/ -1/2 N) N) (/ 1 N))) 21.318 * [simplify]: Simplified (2 1) to (λ (N) (fma (sqrt (+ (/ (/ -1/2 N) N) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (- (/ -1/3 (* (* N N) N))))) 21.318 * * * * [progress]: [ 40 / 151 ] simplifiying candidate # 21.318 * * * * [progress]: [ 41 / 151 ] simplifiying candidate # 21.318 * * * * [progress]: [ 42 / 151 ] simplifiying candidate # 21.318 * * * * [progress]: [ 43 / 151 ] simplifiying candidate # 21.318 * [simplify]: Simplifying (/ (* (exp (/ -1/2 (* N N))) (exp (/ 1 N))) (exp (/ -1/3 (* (* N N) N)))) 21.318 * * [simplify]: iters left: 6 (14 enodes) 21.322 * * [simplify]: iters left: 5 (54 enodes) 21.333 * * [simplify]: iters left: 4 (79 enodes) 21.358 * * [simplify]: iters left: 3 (110 enodes) 21.398 * * [simplify]: iters left: 2 (170 enodes) 21.454 * * [simplify]: iters left: 1 (251 enodes) 21.534 * * [simplify]: Extracting #0: cost 1 inf + 0 21.534 * * [simplify]: Extracting #1: cost 15 inf + 0 21.534 * * [simplify]: Extracting #2: cost 46 inf + 0 21.534 * * [simplify]: Extracting #3: cost 73 inf + 1 21.535 * * [simplify]: Extracting #4: cost 79 inf + 49 21.537 * * [simplify]: Extracting #5: cost 41 inf + 5689 21.541 * * [simplify]: Extracting #6: cost 17 inf + 10700 21.546 * * [simplify]: Extracting #7: cost 6 inf + 13789 21.552 * * [simplify]: Extracting #8: cost 0 inf + 15352 21.558 * [simplify]: Simplified to (exp (- (/ -1/2 (* N N)) (+ (/ -1 N) (/ -1/3 (* (* N N) N))))) 21.558 * [simplify]: Simplified (2 1) to (λ (N) (log (exp (- (/ -1/2 (* N N)) (+ (/ -1 N) (/ -1/3 (* (* N N) N))))))) 21.558 * * * * [progress]: [ 44 / 151 ] simplifiying candidate # 21.559 * [simplify]: Simplifying (/ (exp (+ (/ -1/2 (* N N)) (/ 1 N))) (exp (/ -1/3 (* (* N N) N)))) 21.559 * * [simplify]: iters left: 6 (13 enodes) 21.566 * * [simplify]: iters left: 5 (52 enodes) 21.584 * * [simplify]: iters left: 4 (78 enodes) 21.600 * * [simplify]: iters left: 3 (119 enodes) 21.625 * * [simplify]: iters left: 2 (170 enodes) 21.680 * * [simplify]: iters left: 1 (222 enodes) 21.724 * * [simplify]: Extracting #0: cost 1 inf + 0 21.724 * * [simplify]: Extracting #1: cost 16 inf + 0 21.724 * * [simplify]: Extracting #2: cost 42 inf + 1 21.724 * * [simplify]: Extracting #3: cost 65 inf + 1 21.724 * * [simplify]: Extracting #4: cost 75 inf + 6 21.725 * * [simplify]: Extracting #5: cost 47 inf + 3891 21.727 * * [simplify]: Extracting #6: cost 15 inf + 10148 21.730 * * [simplify]: Extracting #7: cost 5 inf + 12845 21.733 * * [simplify]: Extracting #8: cost 0 inf + 14377 21.735 * [simplify]: Simplified to (exp (- (+ (/ -1/2 (* N N)) (/ (/ 1/3 (* N N)) N)) (/ -1 N))) 21.735 * [simplify]: Simplified (2 1) to (λ (N) (log (exp (- (+ (/ -1/2 (* N N)) (/ (/ 1/3 (* N N)) N)) (/ -1 N))))) 21.735 * * * * [progress]: [ 45 / 151 ] simplifiying candidate # 21.735 * * * * [progress]: [ 46 / 151 ] simplifiying candidate # 21.736 * * * * [progress]: [ 47 / 151 ] simplifiying candidate # 21.736 * * * * [progress]: [ 48 / 151 ] simplifiying candidate # 21.736 * * * * [progress]: [ 49 / 151 ] simplifiying candidate # 21.736 * * * * [progress]: [ 50 / 151 ] simplifiying candidate # 21.736 * * * * [progress]: [ 51 / 151 ] simplifiying candidate # 21.736 * [simplify]: Simplifying (- (+ (* -1/2 N) (* (* N N) 1)) -1/3) 21.736 * * [simplify]: iters left: 6 (9 enodes) 21.739 * * [simplify]: iters left: 5 (37 enodes) 21.747 * * [simplify]: iters left: 4 (65 enodes) 21.762 * * [simplify]: iters left: 3 (86 enodes) 21.781 * * [simplify]: iters left: 2 (102 enodes) 21.795 * * [simplify]: iters left: 1 (122 enodes) 21.811 * * [simplify]: Extracting #0: cost 1 inf + 0 21.811 * * [simplify]: Extracting #1: cost 17 inf + 0 21.811 * * [simplify]: Extracting #2: cost 24 inf + 46 21.812 * * [simplify]: Extracting #3: cost 5 inf + 1309 21.812 * * [simplify]: Extracting #4: cost 0 inf + 1576 21.814 * [simplify]: Simplified to (fma (+ N -1/2) N 1/3) 21.814 * [simplify]: Simplified (2 1) to (λ (N) (/ (fma (+ N -1/2) N 1/3) (* (* N N) N))) 21.814 * [simplify]: Simplifying (* (* N N) N) 21.814 * * [simplify]: iters left: 4 (3 enodes) 21.816 * * [simplify]: iters left: 3 (10 enodes) 21.819 * * [simplify]: iters left: 2 (12 enodes) 21.822 * * [simplify]: iters left: 1 (19 enodes) 21.826 * * [simplify]: Extracting #0: cost 1 inf + 0 21.827 * * [simplify]: Extracting #1: cost 6 inf + 0 21.827 * * [simplify]: Extracting #2: cost 8 inf + 2 21.827 * * [simplify]: Extracting #3: cost 3 inf + 459 21.827 * * [simplify]: Extracting #4: cost 0 inf + 884 21.827 * [simplify]: Simplified to (* N (* N N)) 21.827 * [simplify]: Simplified (2 2) to (λ (N) (/ (fma (+ N -1/2) N 1/3) (* N (* N N)))) 21.827 * * * * [progress]: [ 52 / 151 ] simplifiying candidate # 21.827 * [simplify]: Simplifying (- (* (+ (* -1/2 N) (* (* N N) 1)) (* (* N N) N)) (* (* (* N N) N) -1/3)) 21.827 * * [simplify]: iters left: 6 (12 enodes) 21.831 * * [simplify]: iters left: 5 (52 enodes) 21.844 * * [simplify]: iters left: 4 (115 enodes) 21.894 * * [simplify]: iters left: 3 (298 enodes) 22.077 * * [simplify]: Extracting #0: cost 1 inf + 0 22.077 * * [simplify]: Extracting #1: cost 43 inf + 0 22.079 * * [simplify]: Extracting #2: cost 127 inf + 46 22.082 * * [simplify]: Extracting #3: cost 57 inf + 8883 22.092 * * [simplify]: Extracting #4: cost 1 inf + 18163 22.098 * * [simplify]: Extracting #5: cost 0 inf + 18229 22.106 * [simplify]: Simplified to (* (* N (fma (+ N -1/2) N 1/3)) (* N N)) 22.106 * [simplify]: Simplified (2 1) to (λ (N) (/ (* (* N (fma (+ N -1/2) N 1/3)) (* N N)) (* (* (* N N) N) (* (* N N) N)))) 22.106 * [simplify]: Simplifying (* (* (* N N) N) (* (* N N) N)) 22.106 * * [simplify]: iters left: 6 (4 enodes) 22.107 * * [simplify]: iters left: 5 (19 enodes) 22.111 * * [simplify]: iters left: 4 (31 enodes) 22.117 * * [simplify]: iters left: 3 (46 enodes) 22.132 * * [simplify]: iters left: 2 (84 enodes) 22.171 * * [simplify]: iters left: 1 (172 enodes) 22.218 * * [simplify]: Extracting #0: cost 1 inf + 0 22.218 * * [simplify]: Extracting #1: cost 28 inf + 0 22.219 * * [simplify]: Extracting #2: cost 69 inf + 450 22.220 * * [simplify]: Extracting #3: cost 48 inf + 4945 22.223 * * [simplify]: Extracting #4: cost 18 inf + 14171 22.226 * * [simplify]: Extracting #5: cost 9 inf + 16883 22.230 * * [simplify]: Extracting #6: cost 0 inf + 19755 22.233 * [simplify]: Simplified to (* (* (* N N) N) (* (* N N) N)) 22.234 * [simplify]: Simplified (2 2) to (λ (N) (/ (* (* N (fma (+ N -1/2) N 1/3)) (* N N)) (* (* (* N N) N) (* (* N N) N)))) 22.234 * * * * [progress]: [ 53 / 151 ] simplifiying candidate # 22.234 * [simplify]: Simplifying (- (* (+ (pow (/ -1/2 (* N N)) 3) (pow (/ 1 N) 3)) (* (* N N) N)) (* (+ (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (- (* (/ 1 N) (/ 1 N)) (* (/ -1/2 (* N N)) (/ 1 N)))) -1/3)) 22.234 * * [simplify]: iters left: 6 (20 enodes) 22.249 * * [simplify]: iters left: 5 (113 enodes) 22.300 * * [simplify]: iters left: 4 (294 enodes) 22.481 * * [simplify]: Extracting #0: cost 1 inf + 0 22.481 * * [simplify]: Extracting #1: cost 19 inf + 0 22.481 * * [simplify]: Extracting #2: cost 91 inf + 3 22.482 * * [simplify]: Extracting #3: cost 183 inf + 211 22.485 * * [simplify]: Extracting #4: cost 150 inf + 12818 22.492 * * [simplify]: Extracting #5: cost 37 inf + 31768 22.502 * * [simplify]: Extracting #6: cost 2 inf + 41410 22.518 * * [simplify]: Extracting #7: cost 0 inf + 41780 22.537 * [simplify]: Simplified to (fma (* (* N N) N) (fma (/ -1/2 (* N N)) (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (/ (/ 1 N) (* N N))) (* 1/3 (fma (- (/ 1 N) (/ -1/2 (* N N))) (/ 1 N) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))))) 22.537 * [simplify]: Simplified (2 1) to (λ (N) (/ (fma (* (* N N) N) (fma (/ -1/2 (* N N)) (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (/ (/ 1 N) (* N N))) (* 1/3 (fma (- (/ 1 N) (/ -1/2 (* N N))) (/ 1 N) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))))) (* (+ (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (- (* (/ 1 N) (/ 1 N)) (* (/ -1/2 (* N N)) (/ 1 N)))) (* (* N N) N)))) 22.537 * [simplify]: Simplifying (* (+ (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (- (* (/ 1 N) (/ 1 N)) (* (/ -1/2 (* N N)) (/ 1 N)))) (* (* N N) N)) 22.537 * * [simplify]: iters left: 6 (13 enodes) 22.542 * * [simplify]: iters left: 5 (69 enodes) 22.559 * * [simplify]: iters left: 4 (171 enodes) 22.630 * * [simplify]: iters left: 3 (482 enodes) 23.032 * * [simplify]: Extracting #0: cost 1 inf + 0 23.032 * * [simplify]: Extracting #1: cost 37 inf + 0 23.034 * * [simplify]: Extracting #2: cost 297 inf + 2 23.041 * * [simplify]: Extracting #3: cost 342 inf + 11669 23.075 * * [simplify]: Extracting #4: cost 60 inf + 64977 23.126 * * [simplify]: Extracting #5: cost 0 inf + 77311 23.171 * * [simplify]: Extracting #6: cost 0 inf + 76615 23.209 * * [simplify]: Extracting #7: cost 0 inf + 76560 23.235 * [simplify]: Simplified to (/ (* (fma (/ (/ -1/2 N) N) (+ (- (/ 1 N)) (/ (/ -1/2 N) N)) (* (/ 1 N) (/ 1 N))) N) (* (/ 1 N) (/ 1 N))) 23.235 * [simplify]: Simplified (2 2) to (λ (N) (/ (fma (* (* N N) N) (fma (/ -1/2 (* N N)) (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (/ (/ 1 N) (* N N))) (* 1/3 (fma (- (/ 1 N) (/ -1/2 (* N N))) (/ 1 N) (* (/ -1/2 (* N N)) (/ -1/2 (* N N)))))) (/ (* (fma (/ (/ -1/2 N) N) (+ (- (/ 1 N)) (/ (/ -1/2 N) N)) (* (/ 1 N) (/ 1 N))) N) (* (/ 1 N) (/ 1 N))))) 23.235 * * * * [progress]: [ 54 / 151 ] simplifiying candidate # 23.236 * [simplify]: Simplifying (- (* (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (/ 1 N) (/ 1 N))) (* (* N N) N)) (* (- (/ -1/2 (* N N)) (/ 1 N)) -1/3)) 23.236 * * [simplify]: iters left: 6 (15 enodes) 23.246 * * [simplify]: iters left: 5 (72 enodes) 23.272 * * [simplify]: iters left: 4 (166 enodes) 23.334 * * [simplify]: Extracting #0: cost 1 inf + 0 23.335 * * [simplify]: Extracting #1: cost 26 inf + 0 23.335 * * [simplify]: Extracting #2: cost 115 inf + 3 23.336 * * [simplify]: Extracting #3: cost 150 inf + 413 23.340 * * [simplify]: Extracting #4: cost 117 inf + 5255 23.345 * * [simplify]: Extracting #5: cost 17 inf + 25179 23.358 * * [simplify]: Extracting #6: cost 0 inf + 27285 23.371 * * [simplify]: Extracting #7: cost 0 inf + 27075 23.384 * [simplify]: Simplified to (* (- (/ -1/2 (* N N)) (/ 1 N)) (- (* (* N N) (* N (+ (/ -1/2 (* N N)) (/ 1 N)))) -1/3)) 23.384 * [simplify]: Simplified (2 1) to (λ (N) (/ (* (- (/ -1/2 (* N N)) (/ 1 N)) (- (* (* N N) (* N (+ (/ -1/2 (* N N)) (/ 1 N)))) -1/3)) (* (- (/ -1/2 (* N N)) (/ 1 N)) (* (* N N) N)))) 23.384 * [simplify]: Simplifying (* (- (/ -1/2 (* N N)) (/ 1 N)) (* (* N N) N)) 23.384 * * [simplify]: iters left: 6 (9 enodes) 23.390 * * [simplify]: iters left: 5 (37 enodes) 23.404 * * [simplify]: iters left: 4 (64 enodes) 23.429 * * [simplify]: iters left: 3 (129 enodes) 23.479 * * [simplify]: iters left: 2 (316 enodes) 23.605 * * [simplify]: Extracting #0: cost 1 inf + 0 23.605 * * [simplify]: Extracting #1: cost 33 inf + 0 23.606 * * [simplify]: Extracting #2: cost 110 inf + 2 23.608 * * [simplify]: Extracting #3: cost 106 inf + 2173 23.614 * * [simplify]: Extracting #4: cost 24 inf + 18727 23.624 * * [simplify]: Extracting #5: cost 0 inf + 25656 23.633 * [simplify]: Simplified to (* (* N N) (fma (/ -1/2 (* N N)) N -1)) 23.633 * [simplify]: Simplified (2 2) to (λ (N) (/ (* (- (/ -1/2 (* N N)) (/ 1 N)) (- (* (* N N) (* N (+ (/ -1/2 (* N N)) (/ 1 N)))) -1/3)) (* (* N N) (fma (/ -1/2 (* N N)) N -1)))) 23.634 * * * * [progress]: [ 55 / 151 ] simplifiying candidate # 23.634 * * * * [progress]: [ 56 / 151 ] simplifiying candidate # 23.634 * * * * [progress]: [ 57 / 151 ] simplifiying candidate # 23.634 * * * * [progress]: [ 58 / 151 ] simplifiying candidate # 23.634 * * * * [progress]: [ 59 / 151 ] simplifiying candidate # 23.634 * [simplify]: Simplifying (+ (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (/ -1/3 (* (* N N) N)))) 23.634 * * [simplify]: iters left: 6 (13 enodes) 23.642 * * [simplify]: iters left: 5 (48 enodes) 23.659 * * [simplify]: iters left: 4 (59 enodes) 23.677 * * [simplify]: iters left: 3 (68 enodes) 23.703 * * [simplify]: iters left: 2 (82 enodes) 23.726 * * [simplify]: iters left: 1 (108 enodes) 23.747 * * [simplify]: Extracting #0: cost 1 inf + 0 23.747 * * [simplify]: Extracting #1: cost 4 inf + 0 23.747 * * [simplify]: Extracting #2: cost 8 inf + 0 23.747 * * [simplify]: Extracting #3: cost 18 inf + 0 23.747 * * [simplify]: Extracting #4: cost 29 inf + 44 23.748 * * [simplify]: Extracting #5: cost 24 inf + 944 23.748 * * [simplify]: Extracting #6: cost 18 inf + 1569 23.749 * * [simplify]: Extracting #7: cost 8 inf + 3847 23.751 * * [simplify]: Extracting #8: cost 3 inf + 5390 23.752 * * [simplify]: Extracting #9: cost 0 inf + 6277 23.754 * [simplify]: Simplified to (+ (sqrt (/ (/ -1/3 N) (* N N))) (sqrt (+ (/ (/ -1/2 N) N) (/ 1 N)))) 23.754 * [simplify]: Simplified (2 1) to (λ (N) (* (+ (sqrt (/ (/ -1/3 N) (* N N))) (sqrt (+ (/ (/ -1/2 N) N) (/ 1 N)))) (- (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (/ -1/3 (* (* N N) N)))))) 23.755 * [simplify]: Simplifying (- (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (/ -1/3 (* (* N N) N)))) 23.755 * * [simplify]: iters left: 6 (13 enodes) 23.763 * * [simplify]: iters left: 5 (49 enodes) 23.779 * * [simplify]: iters left: 4 (63 enodes) 23.799 * * [simplify]: iters left: 3 (72 enodes) 23.825 * * [simplify]: iters left: 2 (86 enodes) 23.854 * * [simplify]: iters left: 1 (112 enodes) 23.891 * * [simplify]: Extracting #0: cost 1 inf + 0 23.891 * * [simplify]: Extracting #1: cost 5 inf + 0 23.891 * * [simplify]: Extracting #2: cost 10 inf + 0 23.891 * * [simplify]: Extracting #3: cost 20 inf + 0 23.891 * * [simplify]: Extracting #4: cost 32 inf + 2 23.891 * * [simplify]: Extracting #5: cost 30 inf + 376 23.892 * * [simplify]: Extracting #6: cost 19 inf + 1791 23.893 * * [simplify]: Extracting #7: cost 7 inf + 4915 23.895 * * [simplify]: Extracting #8: cost 2 inf + 6006 23.897 * * [simplify]: Extracting #9: cost 0 inf + 6681 23.898 * [simplify]: Simplified to (- (sqrt (+ (/ (/ -1/2 N) N) (/ 1 N))) (sqrt (/ (/ (/ -1/3 N) N) N))) 23.899 * [simplify]: Simplified (2 2) to (λ (N) (* (+ (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (/ -1/3 (* (* N N) N)))) (- (sqrt (+ (/ (/ -1/2 N) N) (/ 1 N))) (sqrt (/ (/ (/ -1/3 N) N) N))))) 23.899 * * * * [progress]: [ 60 / 151 ] simplifiying candidate # 23.899 * [simplify]: Simplifying (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ -1/3 (* (* N N) N))) 23.899 * * [simplify]: iters left: 6 (11 enodes) 23.906 * * [simplify]: iters left: 5 (45 enodes) 23.914 * * [simplify]: iters left: 4 (73 enodes) 23.927 * * [simplify]: iters left: 3 (99 enodes) 23.960 * * [simplify]: iters left: 2 (120 enodes) 23.986 * * [simplify]: iters left: 1 (155 enodes) 24.030 * * [simplify]: Extracting #0: cost 1 inf + 0 24.030 * * [simplify]: Extracting #1: cost 16 inf + 0 24.031 * * [simplify]: Extracting #2: cost 39 inf + 0 24.031 * * [simplify]: Extracting #3: cost 42 inf + 214 24.032 * * [simplify]: Extracting #4: cost 26 inf + 2381 24.034 * * [simplify]: Extracting #5: cost 11 inf + 5003 24.037 * * [simplify]: Extracting #6: cost 6 inf + 6638 24.039 * * [simplify]: Extracting #7: cost 4 inf + 6851 24.042 * * [simplify]: Extracting #8: cost 0 inf + 8201 24.044 * [simplify]: Simplified to (+ (/ (/ 1/3 N) (* N N)) (+ (/ -1/2 (* N N)) (/ 1 N))) 24.044 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (+ (/ (/ 1/3 N) (* N N)) (+ (/ -1/2 (* N N)) (/ 1 N))))) 24.044 * * * * [progress]: [ 61 / 151 ] simplifiying candidate # 24.045 * [simplify]: Simplifying (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ -1/3 (* (* N N) N))) 24.045 * * [simplify]: iters left: 6 (11 enodes) 24.051 * * [simplify]: iters left: 5 (45 enodes) 24.062 * * [simplify]: iters left: 4 (73 enodes) 24.077 * * [simplify]: iters left: 3 (99 enodes) 24.095 * * [simplify]: iters left: 2 (120 enodes) 24.132 * * [simplify]: iters left: 1 (155 enodes) 24.180 * * [simplify]: Extracting #0: cost 1 inf + 0 24.180 * * [simplify]: Extracting #1: cost 16 inf + 0 24.181 * * [simplify]: Extracting #2: cost 39 inf + 0 24.181 * * [simplify]: Extracting #3: cost 42 inf + 214 24.182 * * [simplify]: Extracting #4: cost 26 inf + 2381 24.184 * * [simplify]: Extracting #5: cost 11 inf + 5003 24.187 * * [simplify]: Extracting #6: cost 6 inf + 6638 24.189 * * [simplify]: Extracting #7: cost 4 inf + 6851 24.191 * * [simplify]: Extracting #8: cost 0 inf + 8201 24.194 * [simplify]: Simplified to (+ (/ (/ 1/3 N) (* N N)) (+ (/ -1/2 (* N N)) (/ 1 N))) 24.194 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (+ (/ (/ 1/3 N) (* N N)) (+ (/ -1/2 (* N N)) (/ 1 N))))) 24.194 * * * * [progress]: [ 62 / 151 ] simplifiying candidate # 24.195 * [simplify]: Simplifying (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ -1/3 (* (* N N) N))) 24.195 * * [simplify]: iters left: 6 (11 enodes) 24.202 * * [simplify]: iters left: 5 (45 enodes) 24.220 * * [simplify]: iters left: 4 (73 enodes) 24.244 * * [simplify]: iters left: 3 (99 enodes) 24.275 * * [simplify]: iters left: 2 (120 enodes) 24.312 * * [simplify]: iters left: 1 (155 enodes) 24.342 * * [simplify]: Extracting #0: cost 1 inf + 0 24.342 * * [simplify]: Extracting #1: cost 16 inf + 0 24.342 * * [simplify]: Extracting #2: cost 39 inf + 0 24.342 * * [simplify]: Extracting #3: cost 42 inf + 214 24.343 * * [simplify]: Extracting #4: cost 26 inf + 2381 24.346 * * [simplify]: Extracting #5: cost 11 inf + 5003 24.351 * * [simplify]: Extracting #6: cost 6 inf + 6638 24.353 * * [simplify]: Extracting #7: cost 4 inf + 6851 24.356 * * [simplify]: Extracting #8: cost 0 inf + 8201 24.358 * [simplify]: Simplified to (+ (/ (/ 1/3 N) (* N N)) (+ (/ -1/2 (* N N)) (/ 1 N))) 24.358 * [simplify]: Simplified (2 2) to (λ (N) (* 1 (+ (/ (/ 1/3 N) (* N N)) (+ (/ -1/2 (* N N)) (/ 1 N))))) 24.359 * * * * [progress]: [ 63 / 151 ] simplifiying candidate # 24.359 * [simplify]: Simplifying (/ -1/2 (* N N)) 24.359 * * [simplify]: iters left: 4 (4 enodes) 24.362 * * [simplify]: iters left: 3 (14 enodes) 24.366 * * [simplify]: iters left: 2 (16 enodes) 24.371 * * [simplify]: Extracting #0: cost 1 inf + 0 24.372 * * [simplify]: Extracting #1: cost 6 inf + 0 24.372 * * [simplify]: Extracting #2: cost 5 inf + 43 24.372 * * [simplify]: Extracting #3: cost 0 inf + 332 24.372 * [simplify]: Simplified to (/ -1/2 (* N N)) 24.372 * [simplify]: Simplified (2 1) to (λ (N) (+ (/ -1/2 (* N N)) (- (/ 1 N) (/ -1/3 (* (* N N) N))))) 24.372 * * * * [progress]: [ 64 / 151 ] simplifiying candidate # 24.372 * * * * [progress]: [ 65 / 151 ] simplifiying candidate #real (real->posit16 (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ -1/3 (* (* N N) N))))))> 24.372 * * * * [progress]: [ 66 / 151 ] simplifiying candidate # 24.372 * * * * [progress]: [ 67 / 151 ] simplifiying candidate # 24.373 * * * * [progress]: [ 68 / 151 ] simplifiying candidate # 24.373 * * * * [progress]: [ 69 / 151 ] simplifiying candidate # 24.373 * [simplify]: Simplifying (- (log -1/3) (+ (+ (log N) (log N)) (log N))) 24.373 * * [simplify]: iters left: 6 (7 enodes) 24.377 * * [simplify]: iters left: 5 (26 enodes) 24.386 * * [simplify]: iters left: 4 (40 enodes) 24.399 * * [simplify]: iters left: 3 (62 enodes) 24.410 * * [simplify]: iters left: 2 (94 enodes) 24.423 * * [simplify]: iters left: 1 (111 enodes) 24.439 * * [simplify]: Extracting #0: cost 1 inf + 0 24.439 * * [simplify]: Extracting #1: cost 19 inf + 0 24.439 * * [simplify]: Extracting #2: cost 37 inf + 0 24.439 * * [simplify]: Extracting #3: cost 30 inf + 477 24.440 * * [simplify]: Extracting #4: cost 7 inf + 4722 24.441 * * [simplify]: Extracting #5: cost 0 inf + 6245 24.442 * [simplify]: Simplified to (- (log -1/3) (+ (log N) (+ (log N) (log N)))) 24.442 * [simplify]: Simplified (2 2 1) to (λ (N) (- (+ (/ -1/2 (* N N)) (/ 1 N)) (exp (- (log -1/3) (+ (log N) (+ (log N) (log N))))))) 24.442 * * * * [progress]: [ 70 / 151 ] simplifiying candidate # 24.442 * [simplify]: Simplifying (- (log -1/3) (+ (log (* N N)) (log N))) 24.442 * * [simplify]: iters left: 6 (8 enodes) 24.445 * * [simplify]: iters left: 5 (30 enodes) 24.452 * * [simplify]: iters left: 4 (44 enodes) 24.459 * * [simplify]: iters left: 3 (66 enodes) 24.480 * * [simplify]: iters left: 2 (98 enodes) 24.506 * * [simplify]: iters left: 1 (115 enodes) 24.522 * * [simplify]: Extracting #0: cost 1 inf + 0 24.522 * * [simplify]: Extracting #1: cost 19 inf + 0 24.522 * * [simplify]: Extracting #2: cost 38 inf + 0 24.522 * * [simplify]: Extracting #3: cost 30 inf + 851 24.523 * * [simplify]: Extracting #4: cost 9 inf + 4731 24.524 * * [simplify]: Extracting #5: cost 2 inf + 6273 24.526 * * [simplify]: Extracting #6: cost 0 inf + 6757 24.527 * [simplify]: Simplified to (- (+ (log N) (- (log N) (- (log -1/3) (log N))))) 24.527 * [simplify]: Simplified (2 2 1) to (λ (N) (- (+ (/ -1/2 (* N N)) (/ 1 N)) (exp (- (+ (log N) (- (log N) (- (log -1/3) (log N)))))))) 24.527 * * * * [progress]: [ 71 / 151 ] simplifiying candidate # 24.527 * [simplify]: Simplifying (- (log -1/3) (log (* (* N N) N))) 24.527 * * [simplify]: iters left: 6 (7 enodes) 24.530 * * [simplify]: iters left: 5 (27 enodes) 24.535 * * [simplify]: iters left: 4 (43 enodes) 24.550 * * [simplify]: iters left: 3 (68 enodes) 24.564 * * [simplify]: iters left: 2 (110 enodes) 24.592 * * [simplify]: iters left: 1 (183 enodes) 24.655 * * [simplify]: Extracting #0: cost 1 inf + 0 24.655 * * [simplify]: Extracting #1: cost 26 inf + 0 24.656 * * [simplify]: Extracting #2: cost 56 inf + 2 24.656 * * [simplify]: Extracting #3: cost 49 inf + 1611 24.659 * * [simplify]: Extracting #4: cost 13 inf + 9518 24.662 * * [simplify]: Extracting #5: cost 7 inf + 9662 24.665 * * [simplify]: Extracting #6: cost 1 inf + 11044 24.671 * * [simplify]: Extracting #7: cost 0 inf + 11507 24.674 * [simplify]: Simplified to (fma -3 (log N) (log -1/3)) 24.674 * [simplify]: Simplified (2 2 1) to (λ (N) (- (+ (/ -1/2 (* N N)) (/ 1 N)) (exp (fma -3 (log N) (log -1/3))))) 24.675 * * * * [progress]: [ 72 / 151 ] simplifiying candidate # 24.675 * * * * [progress]: [ 73 / 151 ] simplifiying candidate # 24.675 * * * * [progress]: [ 74 / 151 ] simplifiying candidate # 24.675 * [simplify]: Simplifying (/ (* (* -1/3 -1/3) -1/3) (* (* (* (* N N) N) (* (* N N) N)) (* (* N N) N))) 24.675 * * [simplify]: iters left: 6 (9 enodes) 24.682 * * [simplify]: iters left: 5 (46 enodes) 24.699 * * [simplify]: iters left: 4 (159 enodes) 24.749 * * [simplify]: Extracting #0: cost 1 inf + 0 24.749 * * [simplify]: Extracting #1: cost 70 inf + 0 24.749 * * [simplify]: Extracting #2: cost 140 inf + 1663 24.753 * * [simplify]: Extracting #3: cost 52 inf + 14690 24.759 * * [simplify]: Extracting #4: cost 2 inf + 23098 24.764 * * [simplify]: Extracting #5: cost 0 inf + 23512 24.770 * [simplify]: Simplified to (/ -1/27 (* (* (* N N) (* N N)) (* (* (* N N) (* N N)) N))) 24.770 * [simplify]: Simplified (2 2 1) to (λ (N) (- (+ (/ -1/2 (* N N)) (/ 1 N)) (cbrt (/ -1/27 (* (* (* N N) (* N N)) (* (* (* N N) (* N N)) N)))))) 24.770 * * * * [progress]: [ 75 / 151 ] simplifiying candidate # 24.771 * [simplify]: Simplifying (/ (* (* -1/3 -1/3) -1/3) (* (* (* (* N N) (* N N)) (* N N)) (* (* N N) N))) 24.771 * * [simplify]: iters left: 6 (10 enodes) 24.775 * * [simplify]: iters left: 5 (51 enodes) 24.787 * * [simplify]: iters left: 4 (167 enodes) 24.844 * * [simplify]: Extracting #0: cost 1 inf + 0 24.845 * * [simplify]: Extracting #1: cost 75 inf + 0 24.845 * * [simplify]: Extracting #2: cost 142 inf + 1745 24.849 * * [simplify]: Extracting #3: cost 30 inf + 18706 24.860 * * [simplify]: Extracting #4: cost 3 inf + 23092 24.872 * * [simplify]: Extracting #5: cost 0 inf + 23848 24.883 * [simplify]: Simplified to (/ -1/27 (* (* N (* (* N N) (* N N))) (* (* N N) (* N N)))) 24.884 * [simplify]: Simplified (2 2 1) to (λ (N) (- (+ (/ -1/2 (* N N)) (/ 1 N)) (cbrt (/ -1/27 (* (* N (* (* N N) (* N N))) (* (* N N) (* N N))))))) 24.884 * * * * [progress]: [ 76 / 151 ] simplifiying candidate # 24.884 * [simplify]: Simplifying (/ (* (* -1/3 -1/3) -1/3) (* (* (* (* N N) N) (* (* N N) N)) (* (* N N) N))) 24.884 * * [simplify]: iters left: 6 (9 enodes) 24.891 * * [simplify]: iters left: 5 (46 enodes) 24.903 * * [simplify]: iters left: 4 (159 enodes) 24.961 * * [simplify]: Extracting #0: cost 1 inf + 0 24.961 * * [simplify]: Extracting #1: cost 70 inf + 0 24.962 * * [simplify]: Extracting #2: cost 140 inf + 1663 24.965 * * [simplify]: Extracting #3: cost 52 inf + 14690 24.971 * * [simplify]: Extracting #4: cost 2 inf + 23098 24.977 * * [simplify]: Extracting #5: cost 0 inf + 23512 24.985 * [simplify]: Simplified to (/ -1/27 (* (* (* N N) (* N N)) (* (* (* N N) (* N N)) N))) 24.985 * [simplify]: Simplified (2 2 1) to (λ (N) (- (+ (/ -1/2 (* N N)) (/ 1 N)) (cbrt (/ -1/27 (* (* (* N N) (* N N)) (* (* (* N N) (* N N)) N)))))) 24.986 * * * * [progress]: [ 77 / 151 ] simplifiying candidate # 24.986 * * * * [progress]: [ 78 / 151 ] simplifiying candidate # 24.986 * * * * [progress]: [ 79 / 151 ] simplifiying candidate # 24.986 * * * * [progress]: [ 80 / 151 ] simplifiying candidate # 24.986 * * * * [progress]: [ 81 / 151 ] simplifiying candidate # 24.986 * [simplify]: Simplifying (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N)) 24.986 * * [simplify]: iters left: 5 (6 enodes) 24.988 * * [simplify]: iters left: 4 (24 enodes) 24.992 * * [simplify]: iters left: 3 (39 enodes) 24.999 * * [simplify]: iters left: 2 (46 enodes) 25.006 * * [simplify]: iters left: 1 (49 enodes) 25.017 * * [simplify]: Extracting #0: cost 1 inf + 0 25.017 * * [simplify]: Extracting #1: cost 11 inf + 0 25.017 * * [simplify]: Extracting #2: cost 18 inf + 42 25.017 * * [simplify]: Extracting #3: cost 16 inf + 84 25.017 * * [simplify]: Extracting #4: cost 14 inf + 287 25.017 * * [simplify]: Extracting #5: cost 2 inf + 1948 25.018 * * [simplify]: Extracting #6: cost 0 inf + 2272 25.018 * [simplify]: Simplified to (* (/ (cbrt -1/3) N) (/ (cbrt -1/3) N)) 25.018 * [simplify]: Simplified (2 2 1) to (λ (N) (- (+ (/ -1/2 (* N N)) (/ 1 N)) (* (* (/ (cbrt -1/3) N) (/ (cbrt -1/3) N)) (/ (cbrt -1/3) N)))) 25.018 * [simplify]: Simplifying (/ (cbrt -1/3) N) 25.018 * * [simplify]: iters left: 3 (4 enodes) 25.020 * * [simplify]: iters left: 2 (12 enodes) 25.022 * * [simplify]: Extracting #0: cost 1 inf + 0 25.022 * * [simplify]: Extracting #1: cost 4 inf + 0 25.022 * * [simplify]: Extracting #2: cost 5 inf + 1 25.022 * * [simplify]: Extracting #3: cost 4 inf + 2 25.022 * * [simplify]: Extracting #4: cost 0 inf + 408 25.023 * [simplify]: Simplified to (/ (cbrt -1/3) N) 25.023 * [simplify]: Simplified (2 2 2) to (λ (N) (- (+ (/ -1/2 (* N N)) (/ 1 N)) (* (* (/ (cbrt -1/3) N) (/ (cbrt -1/3) N)) (/ (cbrt -1/3) N)))) 25.023 * * * * [progress]: [ 82 / 151 ] simplifiying candidate # 25.023 * [simplify]: Simplifying (/ (sqrt -1/3) (* N N)) 25.023 * * [simplify]: iters left: 4 (5 enodes) 25.024 * * [simplify]: iters left: 3 (17 enodes) 25.027 * * [simplify]: iters left: 2 (19 enodes) 25.030 * * [simplify]: Extracting #0: cost 1 inf + 0 25.031 * * [simplify]: Extracting #1: cost 6 inf + 0 25.031 * * [simplify]: Extracting #2: cost 9 inf + 1 25.031 * * [simplify]: Extracting #3: cost 6 inf + 84 25.031 * * [simplify]: Extracting #4: cost 0 inf + 574 25.031 * [simplify]: Simplified to (/ (sqrt -1/3) (* N N)) 25.031 * [simplify]: Simplified (2 2 1) to (λ (N) (- (+ (/ -1/2 (* N N)) (/ 1 N)) (* (/ (sqrt -1/3) (* N N)) (/ (sqrt -1/3) N)))) 25.031 * [simplify]: Simplifying (/ (sqrt -1/3) N) 25.031 * * [simplify]: iters left: 3 (4 enodes) 25.033 * * [simplify]: iters left: 2 (12 enodes) 25.035 * * [simplify]: Extracting #0: cost 1 inf + 0 25.035 * * [simplify]: Extracting #1: cost 4 inf + 0 25.035 * * [simplify]: Extracting #2: cost 5 inf + 1 25.035 * * [simplify]: Extracting #3: cost 4 inf + 2 25.035 * * [simplify]: Extracting #4: cost 0 inf + 248 25.035 * [simplify]: Simplified to (/ (sqrt -1/3) N) 25.035 * [simplify]: Simplified (2 2 2) to (λ (N) (- (+ (/ -1/2 (* N N)) (/ 1 N)) (* (/ (sqrt -1/3) (* N N)) (/ (sqrt -1/3) N)))) 25.035 * * * * [progress]: [ 83 / 151 ] simplifiying candidate # 25.035 * [simplify]: Simplifying (/ 1 (* N N)) 25.035 * * [simplify]: iters left: 4 (4 enodes) 25.037 * * [simplify]: iters left: 3 (16 enodes) 25.039 * * [simplify]: iters left: 2 (20 enodes) 25.044 * * [simplify]: Extracting #0: cost 1 inf + 0 25.044 * * [simplify]: Extracting #1: cost 6 inf + 0 25.044 * * [simplify]: Extracting #2: cost 5 inf + 43 25.044 * * [simplify]: Extracting #3: cost 1 inf + 290 25.044 * * [simplify]: Extracting #4: cost 0 inf + 332 25.044 * [simplify]: Simplified to (/ 1 (* N N)) 25.044 * [simplify]: Simplified (2 2 1) to (λ (N) (- (+ (/ -1/2 (* N N)) (/ 1 N)) (* (/ 1 (* N N)) (/ -1/3 N)))) 25.045 * [simplify]: Simplifying (/ -1/3 N) 25.045 * * [simplify]: iters left: 2 (3 enodes) 25.046 * * [simplify]: iters left: 1 (9 enodes) 25.049 * * [simplify]: Extracting #0: cost 1 inf + 0 25.049 * * [simplify]: Extracting #1: cost 4 inf + 0 25.049 * * [simplify]: Extracting #2: cost 2 inf + 2 25.049 * * [simplify]: Extracting #3: cost 0 inf + 86 25.049 * [simplify]: Simplified to (/ -1/3 N) 25.050 * [simplify]: Simplified (2 2 2) to (λ (N) (- (+ (/ -1/2 (* N N)) (/ 1 N)) (* (/ 1 (* N N)) (/ -1/3 N)))) 25.050 * * * * [progress]: [ 84 / 151 ] simplifiying candidate # 25.050 * * * * [progress]: [ 85 / 151 ] simplifiying candidate # 25.050 * * * * [progress]: [ 86 / 151 ] simplifiying candidate # 25.050 * * * * [progress]: [ 87 / 151 ] simplifiying candidate # 25.050 * * * * [progress]: [ 88 / 151 ] simplifiying candidate # 25.050 * [simplify]: Simplifying (* (cbrt -1/3) (cbrt -1/3)) 25.050 * * [simplify]: iters left: 3 (3 enodes) 25.053 * * [simplify]: iters left: 2 (9 enodes) 25.056 * * [simplify]: Extracting #0: cost 1 inf + 0 25.056 * * [simplify]: Extracting #1: cost 3 inf + 0 25.056 * * [simplify]: Extracting #2: cost 5 inf + 0 25.056 * * [simplify]: Extracting #3: cost 4 inf + 1 25.056 * * [simplify]: Extracting #4: cost 0 inf + 405 25.056 * [simplify]: Simplified to (* (cbrt -1/3) (cbrt -1/3)) 25.056 * [simplify]: Simplified (2 2 1) to (λ (N) (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (* (cbrt -1/3) (cbrt -1/3)) (/ (* (* N N) N) (cbrt -1/3))))) 25.056 * * * * [progress]: [ 89 / 151 ] simplifiying candidate # 25.057 * [simplify]: Simplifying (sqrt -1/3) 25.057 * * [simplify]: iters left: 1 (2 enodes) 25.058 * * [simplify]: Extracting #0: cost 1 inf + 0 25.058 * * [simplify]: Extracting #1: cost 3 inf + 0 25.058 * * [simplify]: Extracting #2: cost 2 inf + 1 25.058 * * [simplify]: Extracting #3: cost 0 inf + 83 25.058 * [simplify]: Simplified to (sqrt -1/3) 25.058 * [simplify]: Simplified (2 2 1) to (λ (N) (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (sqrt -1/3) (/ (* (* N N) N) (sqrt -1/3))))) 25.058 * * * * [progress]: [ 90 / 151 ] simplifiying candidate # 25.058 * * * * [progress]: [ 91 / 151 ] simplifiying candidate #real (real->posit16 (/ -1/3 (* (* N N) N))))))> 25.058 * * * * [progress]: [ 92 / 151 ] simplifiying candidate # 25.058 * * * * [progress]: [ 93 / 151 ] simplifiying candidate # 25.058 * * * * [progress]: [ 94 / 151 ] simplifiying candidate # 25.058 * * * * [progress]: [ 95 / 151 ] simplifiying candidate # 25.058 * [simplify]: Simplifying (- (log -1/2) (+ (log N) (log N))) 25.058 * * [simplify]: iters left: 5 (6 enodes) 25.060 * * [simplify]: iters left: 4 (22 enodes) 25.064 * * [simplify]: iters left: 3 (31 enodes) 25.070 * * [simplify]: iters left: 2 (39 enodes) 25.076 * * [simplify]: iters left: 1 (45 enodes) 25.087 * * [simplify]: Extracting #0: cost 1 inf + 0 25.087 * * [simplify]: Extracting #1: cost 10 inf + 0 25.087 * * [simplify]: Extracting #2: cost 20 inf + 0 25.087 * * [simplify]: Extracting #3: cost 16 inf + 184 25.088 * * [simplify]: Extracting #4: cost 5 inf + 1698 25.089 * * [simplify]: Extracting #5: cost 0 inf + 2537 25.089 * [simplify]: Simplified to (- (log -1/2) (+ (log N) (log N))) 25.090 * [simplify]: Simplified (2 1 1 1) to (λ (N) (- (+ (exp (- (log -1/2) (+ (log N) (log N)))) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 25.090 * * * * [progress]: [ 96 / 151 ] simplifiying candidate # 25.090 * [simplify]: Simplifying (- (log -1/2) (log (* N N))) 25.090 * * [simplify]: iters left: 5 (6 enodes) 25.093 * * [simplify]: iters left: 4 (22 enodes) 25.097 * * [simplify]: iters left: 3 (31 enodes) 25.102 * * [simplify]: iters left: 2 (41 enodes) 25.109 * * [simplify]: iters left: 1 (48 enodes) 25.116 * * [simplify]: Extracting #0: cost 1 inf + 0 25.116 * * [simplify]: Extracting #1: cost 12 inf + 0 25.116 * * [simplify]: Extracting #2: cost 25 inf + 0 25.116 * * [simplify]: Extracting #3: cost 10 inf + 1748 25.117 * * [simplify]: Extracting #4: cost 0 inf + 3263 25.117 * [simplify]: Simplified to (- (log -1/2) (+ (log N) (log N))) 25.117 * [simplify]: Simplified (2 1 1 1) to (λ (N) (- (+ (exp (- (log -1/2) (+ (log N) (log N)))) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 25.117 * * * * [progress]: [ 97 / 151 ] simplifiying candidate # 25.117 * * * * [progress]: [ 98 / 151 ] simplifiying candidate # 25.117 * * * * [progress]: [ 99 / 151 ] simplifiying candidate # 25.118 * [simplify]: Simplifying (/ (* (* -1/2 -1/2) -1/2) (* (* (* N N) N) (* (* N N) N))) 25.118 * * [simplify]: iters left: 6 (8 enodes) 25.121 * * [simplify]: iters left: 5 (40 enodes) 25.132 * * [simplify]: iters left: 4 (125 enodes) 25.182 * * [simplify]: iters left: 3 (395 enodes) 25.361 * * [simplify]: Extracting #0: cost 1 inf + 0 25.362 * * [simplify]: Extracting #1: cost 86 inf + 0 25.367 * * [simplify]: Extracting #2: cost 142 inf + 3503 25.376 * * [simplify]: Extracting #3: cost 48 inf + 15446 25.388 * * [simplify]: Extracting #4: cost 14 inf + 21195 25.400 * * [simplify]: Extracting #5: cost 0 inf + 25333 25.413 * [simplify]: Simplified to (/ -1/8 (* (* N (* N N)) (* N (* N N)))) 25.413 * [simplify]: Simplified (2 1 1 1) to (λ (N) (- (+ (cbrt (/ -1/8 (* (* N (* N N)) (* N (* N N))))) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 25.413 * * * * [progress]: [ 100 / 151 ] simplifiying candidate # 25.413 * [simplify]: Simplifying (/ (* (* -1/2 -1/2) -1/2) (* (* (* N N) (* N N)) (* N N))) 25.413 * * [simplify]: iters left: 6 (8 enodes) 25.420 * * [simplify]: iters left: 5 (41 enodes) 25.430 * * [simplify]: iters left: 4 (128 enodes) 25.472 * * [simplify]: iters left: 3 (370 enodes) 25.692 * * [simplify]: Extracting #0: cost 1 inf + 0 25.692 * * [simplify]: Extracting #1: cost 85 inf + 0 25.693 * * [simplify]: Extracting #2: cost 134 inf + 2854 25.697 * * [simplify]: Extracting #3: cost 61 inf + 11812 25.707 * * [simplify]: Extracting #4: cost 18 inf + 18887 25.719 * * [simplify]: Extracting #5: cost 0 inf + 24276 25.730 * [simplify]: Simplified to (/ (/ -1/8 (* N (* N N))) (* N (* N N))) 25.730 * [simplify]: Simplified (2 1 1 1) to (λ (N) (- (+ (cbrt (/ (/ -1/8 (* N (* N N))) (* N (* N N)))) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 25.731 * * * * [progress]: [ 101 / 151 ] simplifiying candidate # 25.731 * * * * [progress]: [ 102 / 151 ] simplifiying candidate # 25.731 * * * * [progress]: [ 103 / 151 ] simplifiying candidate # 25.731 * * * * [progress]: [ 104 / 151 ] simplifiying candidate # 25.731 * * * * [progress]: [ 105 / 151 ] simplifiying candidate # 25.731 * [simplify]: Simplifying (/ (* (cbrt -1/2) (cbrt -1/2)) N) 25.731 * * [simplify]: iters left: 5 (5 enodes) 25.735 * * [simplify]: iters left: 4 (17 enodes) 25.740 * * [simplify]: iters left: 3 (21 enodes) 25.747 * * [simplify]: iters left: 2 (24 enodes) 25.755 * * [simplify]: Extracting #0: cost 1 inf + 0 25.755 * * [simplify]: Extracting #1: cost 7 inf + 0 25.755 * * [simplify]: Extracting #2: cost 11 inf + 1 25.755 * * [simplify]: Extracting #3: cost 10 inf + 2 25.756 * * [simplify]: Extracting #4: cost 0 inf + 1218 25.756 * [simplify]: Simplified to (/ (* (cbrt -1/2) (cbrt -1/2)) N) 25.756 * [simplify]: Simplified (2 1 1 1) to (λ (N) (- (+ (* (/ (* (cbrt -1/2) (cbrt -1/2)) N) (/ (cbrt -1/2) N)) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 25.756 * [simplify]: Simplifying (/ (cbrt -1/2) N) 25.757 * * [simplify]: iters left: 3 (4 enodes) 25.759 * * [simplify]: iters left: 2 (12 enodes) 25.763 * * [simplify]: Extracting #0: cost 1 inf + 0 25.764 * * [simplify]: Extracting #1: cost 4 inf + 0 25.764 * * [simplify]: Extracting #2: cost 5 inf + 1 25.764 * * [simplify]: Extracting #3: cost 4 inf + 2 25.764 * * [simplify]: Extracting #4: cost 0 inf + 408 25.764 * [simplify]: Simplified to (/ (cbrt -1/2) N) 25.764 * [simplify]: Simplified (2 1 1 2) to (λ (N) (- (+ (* (/ (* (cbrt -1/2) (cbrt -1/2)) N) (/ (cbrt -1/2) N)) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 25.764 * * * * [progress]: [ 106 / 151 ] simplifiying candidate # 25.764 * [simplify]: Simplifying (/ (sqrt -1/2) N) 25.765 * * [simplify]: iters left: 3 (4 enodes) 25.768 * * [simplify]: iters left: 2 (12 enodes) 25.772 * * [simplify]: Extracting #0: cost 1 inf + 0 25.772 * * [simplify]: Extracting #1: cost 4 inf + 0 25.772 * * [simplify]: Extracting #2: cost 5 inf + 1 25.772 * * [simplify]: Extracting #3: cost 4 inf + 2 25.772 * * [simplify]: Extracting #4: cost 0 inf + 248 25.772 * [simplify]: Simplified to (/ (sqrt -1/2) N) 25.772 * [simplify]: Simplified (2 1 1 1) to (λ (N) (- (+ (* (/ (sqrt -1/2) N) (/ (sqrt -1/2) N)) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 25.773 * [simplify]: Simplifying (/ (sqrt -1/2) N) 25.773 * * [simplify]: iters left: 3 (4 enodes) 25.775 * * [simplify]: iters left: 2 (12 enodes) 25.780 * * [simplify]: Extracting #0: cost 1 inf + 0 25.780 * * [simplify]: Extracting #1: cost 4 inf + 0 25.780 * * [simplify]: Extracting #2: cost 5 inf + 1 25.780 * * [simplify]: Extracting #3: cost 4 inf + 2 25.780 * * [simplify]: Extracting #4: cost 0 inf + 248 25.780 * [simplify]: Simplified to (/ (sqrt -1/2) N) 25.780 * [simplify]: Simplified (2 1 1 2) to (λ (N) (- (+ (* (/ (sqrt -1/2) N) (/ (sqrt -1/2) N)) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 25.780 * * * * [progress]: [ 107 / 151 ] simplifiying candidate # 25.781 * [simplify]: Simplifying (/ 1 N) 25.781 * * [simplify]: iters left: 2 (3 enodes) 25.782 * * [simplify]: iters left: 1 (11 enodes) 25.787 * * [simplify]: Extracting #0: cost 1 inf + 0 25.787 * * [simplify]: Extracting #1: cost 4 inf + 0 25.787 * * [simplify]: Extracting #2: cost 2 inf + 2 25.787 * * [simplify]: Extracting #3: cost 0 inf + 86 25.787 * [simplify]: Simplified to (/ 1 N) 25.787 * [simplify]: Simplified (2 1 1 1) to (λ (N) (- (+ (* (/ 1 N) (/ -1/2 N)) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 25.787 * [simplify]: Simplifying (/ -1/2 N) 25.787 * * [simplify]: iters left: 2 (3 enodes) 25.789 * * [simplify]: iters left: 1 (9 enodes) 25.792 * * [simplify]: Extracting #0: cost 1 inf + 0 25.792 * * [simplify]: Extracting #1: cost 4 inf + 0 25.792 * * [simplify]: Extracting #2: cost 2 inf + 2 25.792 * * [simplify]: Extracting #3: cost 0 inf + 86 25.792 * [simplify]: Simplified to (/ -1/2 N) 25.792 * [simplify]: Simplified (2 1 1 2) to (λ (N) (- (+ (* (/ 1 N) (/ -1/2 N)) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 25.792 * * * * [progress]: [ 108 / 151 ] simplifiying candidate # 25.793 * * * * [progress]: [ 109 / 151 ] simplifiying candidate # 25.793 * * * * [progress]: [ 110 / 151 ] simplifiying candidate # 25.793 * * * * [progress]: [ 111 / 151 ] simplifiying candidate # 25.793 * * * * [progress]: [ 112 / 151 ] simplifiying candidate # 25.793 * [simplify]: Simplifying (* (cbrt -1/2) (cbrt -1/2)) 25.793 * * [simplify]: iters left: 3 (3 enodes) 25.799 * * [simplify]: iters left: 2 (9 enodes) 25.802 * * [simplify]: Extracting #0: cost 1 inf + 0 25.802 * * [simplify]: Extracting #1: cost 3 inf + 0 25.802 * * [simplify]: Extracting #2: cost 5 inf + 0 25.802 * * [simplify]: Extracting #3: cost 4 inf + 1 25.802 * * [simplify]: Extracting #4: cost 0 inf + 405 25.802 * [simplify]: Simplified to (* (cbrt -1/2) (cbrt -1/2)) 25.802 * [simplify]: Simplified (2 1 1 1) to (λ (N) (- (+ (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* N N) (cbrt -1/2))) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 25.803 * * * * [progress]: [ 113 / 151 ] simplifiying candidate # 25.803 * [simplify]: Simplifying (sqrt -1/2) 25.803 * * [simplify]: iters left: 1 (2 enodes) 25.805 * * [simplify]: Extracting #0: cost 1 inf + 0 25.805 * * [simplify]: Extracting #1: cost 3 inf + 0 25.805 * * [simplify]: Extracting #2: cost 2 inf + 1 25.805 * * [simplify]: Extracting #3: cost 0 inf + 83 25.805 * [simplify]: Simplified to (sqrt -1/2) 25.805 * [simplify]: Simplified (2 1 1 1) to (λ (N) (- (+ (/ (sqrt -1/2) (/ (* N N) (sqrt -1/2))) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 25.805 * * * * [progress]: [ 114 / 151 ] simplifiying candidate # 25.805 * * * * [progress]: [ 115 / 151 ] simplifiying candidate #real (real->posit16 (/ -1/2 (* N N)))) (/ 1 N)) (/ -1/3 (* (* N N) N))))> 25.805 * * * * [progress]: [ 116 / 151 ] simplifiying candidate # 25.805 * * * * [progress]: [ 117 / 151 ] simplifiying candidate # 25.805 * * * * [progress]: [ 118 / 151 ] simplifiying candidate # 25.806 * [simplify]: Simplifying (* (cbrt (/ -1/2 (* N N))) (cbrt (/ -1/2 (* N N)))) 25.806 * * [simplify]: iters left: 6 (6 enodes) 25.809 * * [simplify]: iters left: 5 (20 enodes) 25.816 * * [simplify]: iters left: 4 (22 enodes) 25.823 * * [simplify]: Extracting #0: cost 1 inf + 0 25.823 * * [simplify]: Extracting #1: cost 3 inf + 0 25.823 * * [simplify]: Extracting #2: cost 5 inf + 0 25.823 * * [simplify]: Extracting #3: cost 10 inf + 0 25.823 * * [simplify]: Extracting #4: cost 10 inf + 2 25.823 * * [simplify]: Extracting #5: cost 1 inf + 858 25.824 * * [simplify]: Extracting #6: cost 0 inf + 1060 25.824 * [simplify]: Simplified to (* (cbrt (/ -1/2 (* N N))) (cbrt (/ -1/2 (* N N)))) 25.824 * [simplify]: Simplified (2 1 1) to (λ (N) (- (fma (* (cbrt (/ -1/2 (* N N))) (cbrt (/ -1/2 (* N N)))) (cbrt (/ -1/2 (* N N))) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 25.824 * * * * [progress]: [ 119 / 151 ] simplifiying candidate # 25.825 * [simplify]: Simplifying (sqrt (/ -1/2 (* N N))) 25.825 * * [simplify]: iters left: 5 (5 enodes) 25.828 * * [simplify]: iters left: 4 (17 enodes) 25.833 * * [simplify]: iters left: 3 (19 enodes) 25.839 * * [simplify]: Extracting #0: cost 1 inf + 0 25.839 * * [simplify]: Extracting #1: cost 3 inf + 0 25.839 * * [simplify]: Extracting #2: cost 8 inf + 0 25.839 * * [simplify]: Extracting #3: cost 7 inf + 43 25.839 * * [simplify]: Extracting #4: cost 0 inf + 576 25.840 * [simplify]: Simplified to (sqrt (/ -1/2 (* N N))) 25.840 * [simplify]: Simplified (2 1 1) to (λ (N) (- (fma (sqrt (/ -1/2 (* N N))) (sqrt (/ -1/2 (* N N))) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 25.840 * * * * [progress]: [ 120 / 151 ] simplifiying candidate # 25.840 * [simplify]: Simplifying (/ (* (cbrt -1/2) (cbrt -1/2)) N) 25.840 * * [simplify]: iters left: 5 (5 enodes) 25.843 * * [simplify]: iters left: 4 (17 enodes) 25.850 * * [simplify]: iters left: 3 (21 enodes) 25.857 * * [simplify]: iters left: 2 (24 enodes) 25.864 * * [simplify]: Extracting #0: cost 1 inf + 0 25.864 * * [simplify]: Extracting #1: cost 7 inf + 0 25.864 * * [simplify]: Extracting #2: cost 11 inf + 1 25.865 * * [simplify]: Extracting #3: cost 10 inf + 2 25.865 * * [simplify]: Extracting #4: cost 0 inf + 1218 25.865 * [simplify]: Simplified to (/ (* (cbrt -1/2) (cbrt -1/2)) N) 25.865 * [simplify]: Simplified (2 1 1) to (λ (N) (- (fma (/ (* (cbrt -1/2) (cbrt -1/2)) N) (/ (cbrt -1/2) N) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 25.865 * * * * [progress]: [ 121 / 151 ] simplifiying candidate # 25.866 * [simplify]: Simplifying (/ (sqrt -1/2) N) 25.866 * * [simplify]: iters left: 3 (4 enodes) 25.868 * * [simplify]: iters left: 2 (12 enodes) 25.872 * * [simplify]: Extracting #0: cost 1 inf + 0 25.872 * * [simplify]: Extracting #1: cost 4 inf + 0 25.872 * * [simplify]: Extracting #2: cost 5 inf + 1 25.873 * * [simplify]: Extracting #3: cost 4 inf + 2 25.873 * * [simplify]: Extracting #4: cost 0 inf + 248 25.873 * [simplify]: Simplified to (/ (sqrt -1/2) N) 25.873 * [simplify]: Simplified (2 1 1) to (λ (N) (- (fma (/ (sqrt -1/2) N) (/ (sqrt -1/2) N) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 25.873 * * * * [progress]: [ 122 / 151 ] simplifiying candidate # 25.873 * [simplify]: Simplifying (/ 1 N) 25.873 * * [simplify]: iters left: 2 (3 enodes) 25.875 * * [simplify]: iters left: 1 (11 enodes) 25.879 * * [simplify]: Extracting #0: cost 1 inf + 0 25.879 * * [simplify]: Extracting #1: cost 4 inf + 0 25.879 * * [simplify]: Extracting #2: cost 2 inf + 2 25.879 * * [simplify]: Extracting #3: cost 0 inf + 86 25.879 * [simplify]: Simplified to (/ 1 N) 25.879 * [simplify]: Simplified (2 1 1) to (λ (N) (- (fma (/ 1 N) (/ -1/2 N) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 25.879 * * * * [progress]: [ 123 / 151 ] simplifiying candidate # 25.879 * * * * [progress]: [ 124 / 151 ] simplifiying candidate # 25.880 * * * * [progress]: [ 125 / 151 ] simplifiying candidate # 25.880 * [simplify]: Simplifying (* (exp (/ -1/2 (* N N))) (exp (/ 1 N))) 25.880 * * [simplify]: iters left: 6 (9 enodes) 25.885 * * [simplify]: iters left: 5 (34 enodes) 25.896 * * [simplify]: iters left: 4 (42 enodes) 25.909 * * [simplify]: Extracting #0: cost 1 inf + 0 25.909 * * [simplify]: Extracting #1: cost 5 inf + 0 25.909 * * [simplify]: Extracting #2: cost 10 inf + 0 25.909 * * [simplify]: Extracting #3: cost 17 inf + 0 25.909 * * [simplify]: Extracting #4: cost 16 inf + 3 25.909 * * [simplify]: Extracting #5: cost 9 inf + 527 25.910 * * [simplify]: Extracting #6: cost 0 inf + 1737 25.911 * [simplify]: Simplified to (exp (+ (/ -1/2 (* N N)) (/ 1 N))) 25.911 * [simplify]: Simplified (2 1 1) to (λ (N) (- (log (exp (+ (/ -1/2 (* N N)) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 25.911 * * * * [progress]: [ 126 / 151 ] simplifiying candidate # 25.911 * * * * [progress]: [ 127 / 151 ] simplifiying candidate # 25.911 * * * * [progress]: [ 128 / 151 ] simplifiying candidate # 25.911 * * * * [progress]: [ 129 / 151 ] simplifiying candidate # 25.911 * * * * [progress]: [ 130 / 151 ] simplifiying candidate # 25.911 * * * * [progress]: [ 131 / 151 ] simplifiying candidate # 25.911 * * * * [progress]: [ 132 / 151 ] simplifiying candidate # 25.912 * [simplify]: Simplifying (+ (* -1/2 N) (* (* N N) 1)) 25.912 * * [simplify]: iters left: 6 (7 enodes) 25.916 * * [simplify]: iters left: 5 (26 enodes) 25.926 * * [simplify]: iters left: 4 (38 enodes) 25.937 * * [simplify]: iters left: 3 (44 enodes) 25.948 * * [simplify]: iters left: 2 (47 enodes) 25.956 * * [simplify]: Extracting #0: cost 1 inf + 0 25.956 * * [simplify]: Extracting #1: cost 8 inf + 0 25.956 * * [simplify]: Extracting #2: cost 7 inf + 44 25.956 * * [simplify]: Extracting #3: cost 2 inf + 308 25.956 * * [simplify]: Extracting #4: cost 0 inf + 432 25.957 * * [simplify]: Extracting #5: cost 0 inf + 417 25.957 * [simplify]: Simplified to (* (+ N -1/2) N) 25.957 * [simplify]: Simplified (2 1 1) to (λ (N) (- (/ (* (+ N -1/2) N) (* (* N N) N)) (/ -1/3 (* (* N N) N)))) 25.957 * [simplify]: Simplifying (* (* N N) N) 25.957 * * [simplify]: iters left: 4 (3 enodes) 25.958 * * [simplify]: iters left: 3 (10 enodes) 25.959 * * [simplify]: iters left: 2 (12 enodes) 25.962 * * [simplify]: iters left: 1 (19 enodes) 25.966 * * [simplify]: Extracting #0: cost 1 inf + 0 25.966 * * [simplify]: Extracting #1: cost 6 inf + 0 25.966 * * [simplify]: Extracting #2: cost 8 inf + 2 25.966 * * [simplify]: Extracting #3: cost 3 inf + 459 25.967 * * [simplify]: Extracting #4: cost 0 inf + 884 25.967 * [simplify]: Simplified to (* N (* N N)) 25.967 * [simplify]: Simplified (2 1 2) to (λ (N) (- (/ (* (+ N -1/2) N) (* N (* N N))) (/ -1/3 (* (* N N) N)))) 25.967 * * * * [progress]: [ 133 / 151 ] simplifiying candidate # 25.967 * * * * [progress]: [ 134 / 151 ] simplifiying candidate # 25.967 * * * * [progress]: [ 135 / 151 ] simplifiying candidate # 25.967 * * * * [progress]: [ 136 / 151 ] simplifiying candidate # 25.967 * [simplify]: Simplifying (+ (/ -1/2 (* N N)) (/ 1 N)) 25.967 * * [simplify]: iters left: 6 (7 enodes) 25.969 * * [simplify]: iters left: 5 (26 enodes) 25.974 * * [simplify]: iters left: 4 (30 enodes) 25.978 * * [simplify]: Extracting #0: cost 1 inf + 0 25.979 * * [simplify]: Extracting #1: cost 4 inf + 0 25.979 * * [simplify]: Extracting #2: cost 11 inf + 0 25.979 * * [simplify]: Extracting #3: cost 7 inf + 128 25.979 * * [simplify]: Extracting #4: cost 2 inf + 417 25.979 * * [simplify]: Extracting #5: cost 1 inf + 580 25.979 * * [simplify]: Extracting #6: cost 0 inf + 743 25.979 * [simplify]: Simplified to (+ (/ -1/2 (* N N)) (/ 1 N)) 25.979 * [simplify]: Simplified (2 1 2) to (λ (N) (- (* 1 (+ (/ -1/2 (* N N)) (/ 1 N))) (/ -1/3 (* (* N N) N)))) 25.979 * * * * [progress]: [ 137 / 151 ] simplifiying candidate # 25.980 * [simplify]: Simplifying (+ (/ -1/2 (* N N)) (/ 1 N)) 25.980 * * [simplify]: iters left: 6 (7 enodes) 25.982 * * [simplify]: iters left: 5 (26 enodes) 25.987 * * [simplify]: iters left: 4 (30 enodes) 25.991 * * [simplify]: Extracting #0: cost 1 inf + 0 25.992 * * [simplify]: Extracting #1: cost 4 inf + 0 25.992 * * [simplify]: Extracting #2: cost 11 inf + 0 25.992 * * [simplify]: Extracting #3: cost 7 inf + 128 25.992 * * [simplify]: Extracting #4: cost 2 inf + 417 25.992 * * [simplify]: Extracting #5: cost 1 inf + 580 25.992 * * [simplify]: Extracting #6: cost 0 inf + 743 25.992 * [simplify]: Simplified to (+ (/ -1/2 (* N N)) (/ 1 N)) 25.992 * [simplify]: Simplified (2 1 2) to (λ (N) (- (* 1 (+ (/ -1/2 (* N N)) (/ 1 N))) (/ -1/3 (* (* N N) N)))) 25.992 * * * * [progress]: [ 138 / 151 ] simplifiying candidate #real (real->posit16 (+ (/ -1/2 (* N N)) (/ 1 N)))) (/ -1/3 (* (* N N) N))))> 25.992 * * * * [progress]: [ 139 / 151 ] simplifiying candidate # 25.992 * * * * [progress]: [ 140 / 151 ] simplifiying candidate # 25.993 * [simplify]: Simplifying (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 25.993 * * [simplify]: iters left: 6 (15 enodes) 26.000 * * [simplify]: iters left: 5 (68 enodes) 26.027 * * [simplify]: iters left: 4 (118 enodes) 26.066 * * [simplify]: iters left: 3 (182 enodes) 26.104 * * [simplify]: iters left: 2 (297 enodes) 26.171 * * [simplify]: Extracting #0: cost 1 inf + 0 26.172 * * [simplify]: Extracting #1: cost 22 inf + 0 26.172 * * [simplify]: Extracting #2: cost 71 inf + 3 26.172 * * [simplify]: Extracting #3: cost 117 inf + 6 26.173 * * [simplify]: Extracting #4: cost 76 inf + 5326 26.176 * * [simplify]: Extracting #5: cost 15 inf + 24736 26.180 * * [simplify]: Extracting #6: cost 1 inf + 30645 26.183 * * [simplify]: Extracting #7: cost 0 inf + 30857 26.187 * [simplify]: Simplified to (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) 26.187 * [simplify]: Simplified (2) to (λ (N) (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N)))) 26.187 * * * * [progress]: [ 141 / 151 ] simplifiying candidate # 26.187 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 26.187 * * [simplify]: iters left: 6 (15 enodes) 26.197 * * [simplify]: iters left: 5 (69 enodes) 26.220 * * [simplify]: iters left: 4 (118 enodes) 26.240 * * [simplify]: iters left: 3 (180 enodes) 26.275 * * [simplify]: iters left: 2 (298 enodes) 26.360 * * [simplify]: Extracting #0: cost 1 inf + 0 26.360 * * [simplify]: Extracting #1: cost 17 inf + 0 26.361 * * [simplify]: Extracting #2: cost 71 inf + 3 26.362 * * [simplify]: Extracting #3: cost 106 inf + 908 26.364 * * [simplify]: Extracting #4: cost 71 inf + 5296 26.369 * * [simplify]: Extracting #5: cost 31 inf + 19551 26.377 * * [simplify]: Extracting #6: cost 0 inf + 32382 26.387 * * [simplify]: Extracting #7: cost 0 inf + 32262 26.394 * [simplify]: Simplified to (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ -1/3 (* (* N N) N))) 26.395 * [simplify]: Simplified (2) to (λ (N) (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 26.395 * * * * [progress]: [ 142 / 151 ] simplifiying candidate # 26.395 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 26.395 * * [simplify]: iters left: 6 (15 enodes) 26.406 * * [simplify]: iters left: 5 (69 enodes) 26.432 * * [simplify]: iters left: 4 (118 enodes) 26.452 * * [simplify]: iters left: 3 (180 enodes) 26.510 * * [simplify]: iters left: 2 (298 enodes) 26.584 * * [simplify]: Extracting #0: cost 1 inf + 0 26.584 * * [simplify]: Extracting #1: cost 17 inf + 0 26.584 * * [simplify]: Extracting #2: cost 71 inf + 3 26.584 * * [simplify]: Extracting #3: cost 106 inf + 908 26.586 * * [simplify]: Extracting #4: cost 71 inf + 5296 26.588 * * [simplify]: Extracting #5: cost 31 inf + 19551 26.592 * * [simplify]: Extracting #6: cost 0 inf + 32382 26.596 * * [simplify]: Extracting #7: cost 0 inf + 32262 26.603 * [simplify]: Simplified to (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ -1/3 (* (* N N) N))) 26.603 * [simplify]: Simplified (2) to (λ (N) (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 26.603 * * * * [progress]: [ 143 / 151 ] simplifiying candidate # 26.604 * [simplify]: Simplifying (/ -1/3 (pow N 3)) 26.604 * * [simplify]: iters left: 3 (5 enodes) 26.608 * * [simplify]: iters left: 2 (23 enodes) 26.621 * * [simplify]: iters left: 1 (45 enodes) 26.639 * * [simplify]: Extracting #0: cost 1 inf + 0 26.639 * * [simplify]: Extracting #1: cost 10 inf + 0 26.639 * * [simplify]: Extracting #2: cost 16 inf + 167 26.640 * * [simplify]: Extracting #3: cost 11 inf + 659 26.640 * * [simplify]: Extracting #4: cost 3 inf + 2347 26.641 * * [simplify]: Extracting #5: cost 1 inf + 2601 26.642 * * [simplify]: Extracting #6: cost 0 inf + 2813 26.642 * [simplify]: Simplified to (/ (/ (/ -1/3 N) N) N) 26.642 * [simplify]: Simplified (2 2) to (λ (N) (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ (/ -1/3 N) N) N))) 26.642 * * * * [progress]: [ 144 / 151 ] simplifiying candidate # 26.643 * [simplify]: Simplifying (/ -1/3 (pow N 3)) 26.643 * * [simplify]: iters left: 3 (5 enodes) 26.647 * * [simplify]: iters left: 2 (23 enodes) 26.657 * * [simplify]: iters left: 1 (45 enodes) 26.676 * * [simplify]: Extracting #0: cost 1 inf + 0 26.676 * * [simplify]: Extracting #1: cost 10 inf + 0 26.676 * * [simplify]: Extracting #2: cost 16 inf + 167 26.677 * * [simplify]: Extracting #3: cost 11 inf + 659 26.677 * * [simplify]: Extracting #4: cost 3 inf + 2347 26.678 * * [simplify]: Extracting #5: cost 1 inf + 2601 26.678 * * [simplify]: Extracting #6: cost 0 inf + 2813 26.679 * [simplify]: Simplified to (/ (/ (/ -1/3 N) N) N) 26.679 * [simplify]: Simplified (2 2) to (λ (N) (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ (/ -1/3 N) N) N))) 26.679 * * * * [progress]: [ 145 / 151 ] simplifiying candidate # 26.680 * [simplify]: Simplifying (/ -1/3 (pow N 3)) 26.680 * * [simplify]: iters left: 3 (5 enodes) 26.684 * * [simplify]: iters left: 2 (23 enodes) 26.694 * * [simplify]: iters left: 1 (45 enodes) 26.707 * * [simplify]: Extracting #0: cost 1 inf + 0 26.707 * * [simplify]: Extracting #1: cost 10 inf + 0 26.708 * * [simplify]: Extracting #2: cost 16 inf + 167 26.708 * * [simplify]: Extracting #3: cost 11 inf + 659 26.708 * * [simplify]: Extracting #4: cost 3 inf + 2347 26.708 * * [simplify]: Extracting #5: cost 1 inf + 2601 26.709 * * [simplify]: Extracting #6: cost 0 inf + 2813 26.709 * [simplify]: Simplified to (/ (/ (/ -1/3 N) N) N) 26.709 * [simplify]: Simplified (2 2) to (λ (N) (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ (/ (/ -1/3 N) N) N))) 26.709 * * * * [progress]: [ 146 / 151 ] simplifiying candidate # 26.710 * [simplify]: Simplifying (/ -1/2 (pow N 2)) 26.710 * * [simplify]: iters left: 3 (5 enodes) 26.712 * * [simplify]: iters left: 2 (20 enodes) 26.715 * * [simplify]: iters left: 1 (26 enodes) 26.719 * * [simplify]: Extracting #0: cost 1 inf + 0 26.719 * * [simplify]: Extracting #1: cost 6 inf + 0 26.719 * * [simplify]: Extracting #2: cost 6 inf + 43 26.719 * * [simplify]: Extracting #3: cost 0 inf + 333 26.719 * [simplify]: Simplified to (/ -1/2 (* N N)) 26.719 * [simplify]: Simplified (2 1 1) to (λ (N) (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 26.720 * * * * [progress]: [ 147 / 151 ] simplifiying candidate # 26.720 * [simplify]: Simplifying (/ -1/2 (pow N 2)) 26.720 * * [simplify]: iters left: 3 (5 enodes) 26.722 * * [simplify]: iters left: 2 (20 enodes) 26.729 * * [simplify]: iters left: 1 (26 enodes) 26.737 * * [simplify]: Extracting #0: cost 1 inf + 0 26.737 * * [simplify]: Extracting #1: cost 6 inf + 0 26.737 * * [simplify]: Extracting #2: cost 6 inf + 43 26.738 * * [simplify]: Extracting #3: cost 0 inf + 333 26.738 * [simplify]: Simplified to (/ -1/2 (* N N)) 26.738 * [simplify]: Simplified (2 1 1) to (λ (N) (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 26.738 * * * * [progress]: [ 148 / 151 ] simplifiying candidate # 26.738 * [simplify]: Simplifying (/ -1/2 (pow N 2)) 26.738 * * [simplify]: iters left: 3 (5 enodes) 26.742 * * [simplify]: iters left: 2 (20 enodes) 26.749 * * [simplify]: iters left: 1 (26 enodes) 26.760 * * [simplify]: Extracting #0: cost 1 inf + 0 26.760 * * [simplify]: Extracting #1: cost 6 inf + 0 26.760 * * [simplify]: Extracting #2: cost 6 inf + 43 26.761 * * [simplify]: Extracting #3: cost 0 inf + 333 26.761 * [simplify]: Simplified to (/ -1/2 (* N N)) 26.761 * [simplify]: Simplified (2 1 1) to (λ (N) (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 26.761 * * * * [progress]: [ 149 / 151 ] simplifiying candidate # 26.761 * [simplify]: Simplifying (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 26.761 * * [simplify]: iters left: 6 (9 enodes) 26.768 * * [simplify]: iters left: 5 (38 enodes) 26.782 * * [simplify]: iters left: 4 (55 enodes) 26.799 * * [simplify]: iters left: 3 (70 enodes) 26.817 * * [simplify]: iters left: 2 (82 enodes) 26.838 * * [simplify]: iters left: 1 (87 enodes) 26.860 * * [simplify]: Extracting #0: cost 1 inf + 0 26.860 * * [simplify]: Extracting #1: cost 9 inf + 0 26.860 * * [simplify]: Extracting #2: cost 21 inf + 2 26.860 * * [simplify]: Extracting #3: cost 19 inf + 170 26.861 * * [simplify]: Extracting #4: cost 3 inf + 1216 26.862 * * [simplify]: Extracting #5: cost 0 inf + 1479 26.863 * [simplify]: Simplified to (fma -1/2 (/ (/ 1 N) N) (/ 1 N)) 26.863 * [simplify]: Simplified (2 1) to (λ (N) (- (fma -1/2 (/ (/ 1 N) N) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 26.863 * * * * [progress]: [ 150 / 151 ] simplifiying candidate # 26.863 * [simplify]: Simplifying (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 26.863 * * [simplify]: iters left: 6 (9 enodes) 26.870 * * [simplify]: iters left: 5 (38 enodes) 26.884 * * [simplify]: iters left: 4 (55 enodes) 26.893 * * [simplify]: iters left: 3 (70 enodes) 26.903 * * [simplify]: iters left: 2 (82 enodes) 26.914 * * [simplify]: iters left: 1 (87 enodes) 26.931 * * [simplify]: Extracting #0: cost 1 inf + 0 26.931 * * [simplify]: Extracting #1: cost 9 inf + 0 26.932 * * [simplify]: Extracting #2: cost 21 inf + 2 26.932 * * [simplify]: Extracting #3: cost 19 inf + 170 26.932 * * [simplify]: Extracting #4: cost 3 inf + 1216 26.933 * * [simplify]: Extracting #5: cost 0 inf + 1479 26.934 * [simplify]: Simplified to (fma -1/2 (/ (/ 1 N) N) (/ 1 N)) 26.934 * [simplify]: Simplified (2 1) to (λ (N) (- (fma -1/2 (/ (/ 1 N) N) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 26.934 * * * * [progress]: [ 151 / 151 ] simplifiying candidate # 26.935 * [simplify]: Simplifying (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 26.935 * * [simplify]: iters left: 6 (9 enodes) 26.939 * * [simplify]: iters left: 5 (38 enodes) 26.946 * * [simplify]: iters left: 4 (55 enodes) 26.955 * * [simplify]: iters left: 3 (70 enodes) 26.964 * * [simplify]: iters left: 2 (82 enodes) 26.979 * * [simplify]: iters left: 1 (87 enodes) 27.001 * * [simplify]: Extracting #0: cost 1 inf + 0 27.001 * * [simplify]: Extracting #1: cost 9 inf + 0 27.001 * * [simplify]: Extracting #2: cost 21 inf + 2 27.001 * * [simplify]: Extracting #3: cost 19 inf + 170 27.001 * * [simplify]: Extracting #4: cost 3 inf + 1216 27.002 * * [simplify]: Extracting #5: cost 0 inf + 1479 27.002 * [simplify]: Simplified to (fma -1/2 (/ (/ 1 N) N) (/ 1 N)) 27.002 * [simplify]: Simplified (2 1) to (λ (N) (- (fma -1/2 (/ (/ 1 N) N) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 27.002 * * * [progress]: adding candidates to table 28.043 * * [progress]: iteration 3 / 4 28.043 * * * [progress]: picking best candidate 28.051 * * * * [pick]: Picked # 28.051 * * * [progress]: localizing error 28.082 * * * [progress]: generating rewritten candidates 28.082 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 28.111 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 28.118 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 28.124 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 28.152 * * * [progress]: generating series expansions 28.152 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 28.152 * [backup-simplify]: Simplify (/ -1/3 (* (* N N) N)) into (/ -1/3 (pow N 3)) 28.152 * [approximate]: Taking taylor expansion of (/ -1/3 (pow N 3)) in (N) around 0 28.152 * [taylor]: Taking taylor expansion of (/ -1/3 (pow N 3)) in N 28.152 * [taylor]: Taking taylor expansion of -1/3 in N 28.152 * [backup-simplify]: Simplify -1/3 into -1/3 28.152 * [taylor]: Taking taylor expansion of (pow N 3) in N 28.152 * [taylor]: Taking taylor expansion of N in N 28.152 * [backup-simplify]: Simplify 0 into 0 28.152 * [backup-simplify]: Simplify 1 into 1 28.153 * [backup-simplify]: Simplify (* 1 1) into 1 28.153 * [backup-simplify]: Simplify (* 1 1) into 1 28.154 * [backup-simplify]: Simplify (/ -1/3 1) into -1/3 28.154 * [taylor]: Taking taylor expansion of (/ -1/3 (pow N 3)) in N 28.154 * [taylor]: Taking taylor expansion of -1/3 in N 28.154 * [backup-simplify]: Simplify -1/3 into -1/3 28.154 * [taylor]: Taking taylor expansion of (pow N 3) in N 28.154 * [taylor]: Taking taylor expansion of N in N 28.154 * [backup-simplify]: Simplify 0 into 0 28.154 * [backup-simplify]: Simplify 1 into 1 28.154 * [backup-simplify]: Simplify (* 1 1) into 1 28.155 * [backup-simplify]: Simplify (* 1 1) into 1 28.155 * [backup-simplify]: Simplify (/ -1/3 1) into -1/3 28.155 * [backup-simplify]: Simplify -1/3 into -1/3 28.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/3 (/ 0 1)))) into 0 28.157 * [backup-simplify]: Simplify 0 into 0 28.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.160 * [backup-simplify]: Simplify 0 into 0 28.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.163 * [backup-simplify]: Simplify 0 into 0 28.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.167 * [backup-simplify]: Simplify 0 into 0 28.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 28.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 28.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.171 * [backup-simplify]: Simplify 0 into 0 28.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 28.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 28.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.176 * [backup-simplify]: Simplify 0 into 0 28.176 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 N) 3)) into (/ -1/3 (pow N 3)) 28.176 * [backup-simplify]: Simplify (/ -1/3 (* (* (/ 1 N) (/ 1 N)) (/ 1 N))) into (* -1/3 (pow N 3)) 28.176 * [approximate]: Taking taylor expansion of (* -1/3 (pow N 3)) in (N) around 0 28.176 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 28.176 * [taylor]: Taking taylor expansion of -1/3 in N 28.176 * [backup-simplify]: Simplify -1/3 into -1/3 28.176 * [taylor]: Taking taylor expansion of (pow N 3) in N 28.176 * [taylor]: Taking taylor expansion of N in N 28.176 * [backup-simplify]: Simplify 0 into 0 28.176 * [backup-simplify]: Simplify 1 into 1 28.176 * [taylor]: Taking taylor expansion of (* -1/3 (pow N 3)) in N 28.176 * [taylor]: Taking taylor expansion of -1/3 in N 28.176 * [backup-simplify]: Simplify -1/3 into -1/3 28.176 * [taylor]: Taking taylor expansion of (pow N 3) in N 28.176 * [taylor]: Taking taylor expansion of N in N 28.176 * [backup-simplify]: Simplify 0 into 0 28.176 * [backup-simplify]: Simplify 1 into 1 28.177 * [backup-simplify]: Simplify (* 1 1) into 1 28.177 * [backup-simplify]: Simplify (* 1 1) into 1 28.178 * [backup-simplify]: Simplify (* -1/3 1) into -1/3 28.178 * [backup-simplify]: Simplify -1/3 into -1/3 28.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.180 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 1)) into 0 28.180 * [backup-simplify]: Simplify 0 into 0 28.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.183 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 1))) into 0 28.183 * [backup-simplify]: Simplify 0 into 0 28.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.186 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.186 * [backup-simplify]: Simplify 0 into 0 28.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.190 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.190 * [backup-simplify]: Simplify 0 into 0 28.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 28.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 28.199 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 28.199 * [backup-simplify]: Simplify 0 into 0 28.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 28.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 28.203 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 28.203 * [backup-simplify]: Simplify 0 into 0 28.203 * [backup-simplify]: Simplify (* -1/3 (pow (/ 1 N) 3)) into (/ -1/3 (pow N 3)) 28.204 * [backup-simplify]: Simplify (/ -1/3 (* (* (/ 1 (- N)) (/ 1 (- N))) (/ 1 (- N)))) into (* 1/3 (pow N 3)) 28.204 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 3)) in (N) around 0 28.204 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 28.204 * [taylor]: Taking taylor expansion of 1/3 in N 28.204 * [backup-simplify]: Simplify 1/3 into 1/3 28.204 * [taylor]: Taking taylor expansion of (pow N 3) in N 28.204 * [taylor]: Taking taylor expansion of N in N 28.204 * [backup-simplify]: Simplify 0 into 0 28.204 * [backup-simplify]: Simplify 1 into 1 28.204 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 28.204 * [taylor]: Taking taylor expansion of 1/3 in N 28.204 * [backup-simplify]: Simplify 1/3 into 1/3 28.204 * [taylor]: Taking taylor expansion of (pow N 3) in N 28.204 * [taylor]: Taking taylor expansion of N in N 28.204 * [backup-simplify]: Simplify 0 into 0 28.204 * [backup-simplify]: Simplify 1 into 1 28.205 * [backup-simplify]: Simplify (* 1 1) into 1 28.205 * [backup-simplify]: Simplify (* 1 1) into 1 28.205 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 28.205 * [backup-simplify]: Simplify 1/3 into 1/3 28.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.207 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 28.208 * [backup-simplify]: Simplify 0 into 0 28.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.210 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 28.210 * [backup-simplify]: Simplify 0 into 0 28.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.214 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.214 * [backup-simplify]: Simplify 0 into 0 28.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.218 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.218 * [backup-simplify]: Simplify 0 into 0 28.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 28.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 28.223 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 28.223 * [backup-simplify]: Simplify 0 into 0 28.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 28.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 28.228 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 28.228 * [backup-simplify]: Simplify 0 into 0 28.228 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (- N)) 3)) into (/ -1/3 (pow N 3)) 28.228 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 28.229 * [backup-simplify]: Simplify (/ -1/2 (* N N)) into (/ -1/2 (pow N 2)) 28.229 * [approximate]: Taking taylor expansion of (/ -1/2 (pow N 2)) in (N) around 0 28.229 * [taylor]: Taking taylor expansion of (/ -1/2 (pow N 2)) in N 28.229 * [taylor]: Taking taylor expansion of -1/2 in N 28.229 * [backup-simplify]: Simplify -1/2 into -1/2 28.229 * [taylor]: Taking taylor expansion of (pow N 2) in N 28.229 * [taylor]: Taking taylor expansion of N in N 28.229 * [backup-simplify]: Simplify 0 into 0 28.229 * [backup-simplify]: Simplify 1 into 1 28.229 * [backup-simplify]: Simplify (* 1 1) into 1 28.230 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 28.230 * [taylor]: Taking taylor expansion of (/ -1/2 (pow N 2)) in N 28.230 * [taylor]: Taking taylor expansion of -1/2 in N 28.230 * [backup-simplify]: Simplify -1/2 into -1/2 28.230 * [taylor]: Taking taylor expansion of (pow N 2) in N 28.230 * [taylor]: Taking taylor expansion of N in N 28.230 * [backup-simplify]: Simplify 0 into 0 28.230 * [backup-simplify]: Simplify 1 into 1 28.230 * [backup-simplify]: Simplify (* 1 1) into 1 28.231 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 28.231 * [backup-simplify]: Simplify -1/2 into -1/2 28.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 28.232 * [backup-simplify]: Simplify 0 into 0 28.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.234 * [backup-simplify]: Simplify 0 into 0 28.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.237 * [backup-simplify]: Simplify 0 into 0 28.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.239 * [backup-simplify]: Simplify 0 into 0 28.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 28.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.241 * [backup-simplify]: Simplify 0 into 0 28.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 28.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.244 * [backup-simplify]: Simplify 0 into 0 28.244 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 N) 2)) into (/ -1/2 (pow N 2)) 28.244 * [backup-simplify]: Simplify (/ -1/2 (* (/ 1 N) (/ 1 N))) into (* -1/2 (pow N 2)) 28.244 * [approximate]: Taking taylor expansion of (* -1/2 (pow N 2)) in (N) around 0 28.244 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 28.245 * [taylor]: Taking taylor expansion of -1/2 in N 28.245 * [backup-simplify]: Simplify -1/2 into -1/2 28.245 * [taylor]: Taking taylor expansion of (pow N 2) in N 28.245 * [taylor]: Taking taylor expansion of N in N 28.245 * [backup-simplify]: Simplify 0 into 0 28.245 * [backup-simplify]: Simplify 1 into 1 28.245 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 28.245 * [taylor]: Taking taylor expansion of -1/2 in N 28.245 * [backup-simplify]: Simplify -1/2 into -1/2 28.245 * [taylor]: Taking taylor expansion of (pow N 2) in N 28.245 * [taylor]: Taking taylor expansion of N in N 28.245 * [backup-simplify]: Simplify 0 into 0 28.245 * [backup-simplify]: Simplify 1 into 1 28.245 * [backup-simplify]: Simplify (* 1 1) into 1 28.246 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 28.246 * [backup-simplify]: Simplify -1/2 into -1/2 28.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.247 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 1)) into 0 28.247 * [backup-simplify]: Simplify 0 into 0 28.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.249 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 1))) into 0 28.249 * [backup-simplify]: Simplify 0 into 0 28.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.251 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.251 * [backup-simplify]: Simplify 0 into 0 28.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.254 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.254 * [backup-simplify]: Simplify 0 into 0 28.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 28.257 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 28.257 * [backup-simplify]: Simplify 0 into 0 28.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 28.260 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 28.260 * [backup-simplify]: Simplify 0 into 0 28.260 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 N) 2)) into (/ -1/2 (pow N 2)) 28.260 * [backup-simplify]: Simplify (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N)))) into (* -1/2 (pow N 2)) 28.260 * [approximate]: Taking taylor expansion of (* -1/2 (pow N 2)) in (N) around 0 28.260 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 28.260 * [taylor]: Taking taylor expansion of -1/2 in N 28.260 * [backup-simplify]: Simplify -1/2 into -1/2 28.260 * [taylor]: Taking taylor expansion of (pow N 2) in N 28.260 * [taylor]: Taking taylor expansion of N in N 28.261 * [backup-simplify]: Simplify 0 into 0 28.261 * [backup-simplify]: Simplify 1 into 1 28.261 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 28.261 * [taylor]: Taking taylor expansion of -1/2 in N 28.261 * [backup-simplify]: Simplify -1/2 into -1/2 28.261 * [taylor]: Taking taylor expansion of (pow N 2) in N 28.261 * [taylor]: Taking taylor expansion of N in N 28.261 * [backup-simplify]: Simplify 0 into 0 28.261 * [backup-simplify]: Simplify 1 into 1 28.261 * [backup-simplify]: Simplify (* 1 1) into 1 28.262 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 28.262 * [backup-simplify]: Simplify -1/2 into -1/2 28.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.263 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 1)) into 0 28.263 * [backup-simplify]: Simplify 0 into 0 28.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.265 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 1))) into 0 28.265 * [backup-simplify]: Simplify 0 into 0 28.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.267 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.267 * [backup-simplify]: Simplify 0 into 0 28.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.270 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.270 * [backup-simplify]: Simplify 0 into 0 28.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 28.273 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 28.273 * [backup-simplify]: Simplify 0 into 0 28.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 28.274 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 28.274 * [backup-simplify]: Simplify 0 into 0 28.275 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 (- N)) 2)) into (/ -1/2 (pow N 2)) 28.275 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 28.275 * [backup-simplify]: Simplify (/ -1/2 (* N N)) into (/ -1/2 (pow N 2)) 28.275 * [approximate]: Taking taylor expansion of (/ -1/2 (pow N 2)) in (N) around 0 28.275 * [taylor]: Taking taylor expansion of (/ -1/2 (pow N 2)) in N 28.275 * [taylor]: Taking taylor expansion of -1/2 in N 28.275 * [backup-simplify]: Simplify -1/2 into -1/2 28.275 * [taylor]: Taking taylor expansion of (pow N 2) in N 28.275 * [taylor]: Taking taylor expansion of N in N 28.275 * [backup-simplify]: Simplify 0 into 0 28.275 * [backup-simplify]: Simplify 1 into 1 28.275 * [backup-simplify]: Simplify (* 1 1) into 1 28.275 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 28.275 * [taylor]: Taking taylor expansion of (/ -1/2 (pow N 2)) in N 28.275 * [taylor]: Taking taylor expansion of -1/2 in N 28.275 * [backup-simplify]: Simplify -1/2 into -1/2 28.275 * [taylor]: Taking taylor expansion of (pow N 2) in N 28.275 * [taylor]: Taking taylor expansion of N in N 28.275 * [backup-simplify]: Simplify 0 into 0 28.275 * [backup-simplify]: Simplify 1 into 1 28.276 * [backup-simplify]: Simplify (* 1 1) into 1 28.276 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 28.276 * [backup-simplify]: Simplify -1/2 into -1/2 28.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 28.277 * [backup-simplify]: Simplify 0 into 0 28.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.278 * [backup-simplify]: Simplify 0 into 0 28.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.279 * [backup-simplify]: Simplify 0 into 0 28.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.281 * [backup-simplify]: Simplify 0 into 0 28.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 28.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.282 * [backup-simplify]: Simplify 0 into 0 28.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 28.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.284 * [backup-simplify]: Simplify 0 into 0 28.284 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 N) 2)) into (/ -1/2 (pow N 2)) 28.284 * [backup-simplify]: Simplify (/ -1/2 (* (/ 1 N) (/ 1 N))) into (* -1/2 (pow N 2)) 28.284 * [approximate]: Taking taylor expansion of (* -1/2 (pow N 2)) in (N) around 0 28.284 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 28.284 * [taylor]: Taking taylor expansion of -1/2 in N 28.284 * [backup-simplify]: Simplify -1/2 into -1/2 28.284 * [taylor]: Taking taylor expansion of (pow N 2) in N 28.284 * [taylor]: Taking taylor expansion of N in N 28.284 * [backup-simplify]: Simplify 0 into 0 28.284 * [backup-simplify]: Simplify 1 into 1 28.284 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 28.284 * [taylor]: Taking taylor expansion of -1/2 in N 28.284 * [backup-simplify]: Simplify -1/2 into -1/2 28.284 * [taylor]: Taking taylor expansion of (pow N 2) in N 28.284 * [taylor]: Taking taylor expansion of N in N 28.284 * [backup-simplify]: Simplify 0 into 0 28.284 * [backup-simplify]: Simplify 1 into 1 28.285 * [backup-simplify]: Simplify (* 1 1) into 1 28.285 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 28.285 * [backup-simplify]: Simplify -1/2 into -1/2 28.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.286 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 1)) into 0 28.286 * [backup-simplify]: Simplify 0 into 0 28.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.287 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 1))) into 0 28.287 * [backup-simplify]: Simplify 0 into 0 28.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.288 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.288 * [backup-simplify]: Simplify 0 into 0 28.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.290 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.290 * [backup-simplify]: Simplify 0 into 0 28.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 28.291 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 28.291 * [backup-simplify]: Simplify 0 into 0 28.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 28.293 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 28.293 * [backup-simplify]: Simplify 0 into 0 28.293 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 N) 2)) into (/ -1/2 (pow N 2)) 28.293 * [backup-simplify]: Simplify (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N)))) into (* -1/2 (pow N 2)) 28.293 * [approximate]: Taking taylor expansion of (* -1/2 (pow N 2)) in (N) around 0 28.293 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 28.293 * [taylor]: Taking taylor expansion of -1/2 in N 28.293 * [backup-simplify]: Simplify -1/2 into -1/2 28.293 * [taylor]: Taking taylor expansion of (pow N 2) in N 28.293 * [taylor]: Taking taylor expansion of N in N 28.294 * [backup-simplify]: Simplify 0 into 0 28.294 * [backup-simplify]: Simplify 1 into 1 28.294 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 28.294 * [taylor]: Taking taylor expansion of -1/2 in N 28.294 * [backup-simplify]: Simplify -1/2 into -1/2 28.294 * [taylor]: Taking taylor expansion of (pow N 2) in N 28.294 * [taylor]: Taking taylor expansion of N in N 28.294 * [backup-simplify]: Simplify 0 into 0 28.294 * [backup-simplify]: Simplify 1 into 1 28.294 * [backup-simplify]: Simplify (* 1 1) into 1 28.294 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 28.294 * [backup-simplify]: Simplify -1/2 into -1/2 28.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.295 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 1)) into 0 28.295 * [backup-simplify]: Simplify 0 into 0 28.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.296 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 1))) into 0 28.296 * [backup-simplify]: Simplify 0 into 0 28.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.298 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.298 * [backup-simplify]: Simplify 0 into 0 28.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.299 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.299 * [backup-simplify]: Simplify 0 into 0 28.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 28.301 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 28.301 * [backup-simplify]: Simplify 0 into 0 28.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 28.303 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 28.303 * [backup-simplify]: Simplify 0 into 0 28.303 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 (- N)) 2)) into (/ -1/2 (pow N 2)) 28.303 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 28.303 * [backup-simplify]: Simplify (+ (/ -1/2 (* N N)) (/ 1 N)) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 28.303 * [approximate]: Taking taylor expansion of (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0 28.303 * [taylor]: Taking taylor expansion of (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) in N 28.303 * [taylor]: Taking taylor expansion of (/ 1 N) in N 28.303 * [taylor]: Taking taylor expansion of N in N 28.303 * [backup-simplify]: Simplify 0 into 0 28.303 * [backup-simplify]: Simplify 1 into 1 28.303 * [backup-simplify]: Simplify (/ 1 1) into 1 28.303 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 28.304 * [taylor]: Taking taylor expansion of 1/2 in N 28.304 * [backup-simplify]: Simplify 1/2 into 1/2 28.304 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 28.304 * [taylor]: Taking taylor expansion of (pow N 2) in N 28.304 * [taylor]: Taking taylor expansion of N in N 28.304 * [backup-simplify]: Simplify 0 into 0 28.304 * [backup-simplify]: Simplify 1 into 1 28.304 * [backup-simplify]: Simplify (* 1 1) into 1 28.304 * [backup-simplify]: Simplify (/ 1 1) into 1 28.304 * [taylor]: Taking taylor expansion of (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) in N 28.304 * [taylor]: Taking taylor expansion of (/ 1 N) in N 28.304 * [taylor]: Taking taylor expansion of N in N 28.304 * [backup-simplify]: Simplify 0 into 0 28.304 * [backup-simplify]: Simplify 1 into 1 28.304 * [backup-simplify]: Simplify (/ 1 1) into 1 28.304 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 28.304 * [taylor]: Taking taylor expansion of 1/2 in N 28.304 * [backup-simplify]: Simplify 1/2 into 1/2 28.305 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 28.305 * [taylor]: Taking taylor expansion of (pow N 2) in N 28.305 * [taylor]: Taking taylor expansion of N in N 28.305 * [backup-simplify]: Simplify 0 into 0 28.305 * [backup-simplify]: Simplify 1 into 1 28.305 * [backup-simplify]: Simplify (* 1 1) into 1 28.305 * [backup-simplify]: Simplify (/ 1 1) into 1 28.306 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.306 * [backup-simplify]: Simplify (- 1/2) into -1/2 28.307 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 28.307 * [backup-simplify]: Simplify -1/2 into -1/2 28.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 28.309 * [backup-simplify]: Simplify (- 0) into 0 28.310 * [backup-simplify]: Simplify (+ 1 0) into 1 28.310 * [backup-simplify]: Simplify 1 into 1 28.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 28.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.313 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 28.314 * [backup-simplify]: Simplify (- 0) into 0 28.314 * [backup-simplify]: Simplify (+ 0 0) into 0 28.314 * [backup-simplify]: Simplify 0 into 0 28.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.318 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.740 * [backup-simplify]: Simplify (- 0) into 0 28.740 * [backup-simplify]: Simplify (+ 0 0) into 0 28.740 * [backup-simplify]: Simplify 0 into 0 28.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.745 * [backup-simplify]: Simplify (- 0) into 0 28.746 * [backup-simplify]: Simplify (+ 0 0) into 0 28.746 * [backup-simplify]: Simplify 0 into 0 28.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 28.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.751 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 28.751 * [backup-simplify]: Simplify (- 0) into 0 28.752 * [backup-simplify]: Simplify (+ 0 0) into 0 28.752 * [backup-simplify]: Simplify 0 into 0 28.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 28.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.757 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 28.757 * [backup-simplify]: Simplify (- 0) into 0 28.758 * [backup-simplify]: Simplify (+ 0 0) into 0 28.758 * [backup-simplify]: Simplify 0 into 0 28.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 28.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 28.761 * [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 28.763 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 28.763 * [backup-simplify]: Simplify (- 0) into 0 28.764 * [backup-simplify]: Simplify (+ 0 0) into 0 28.764 * [backup-simplify]: Simplify 0 into 0 28.764 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (* -1/2 (pow (/ 1 N) 2))) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 28.764 * [backup-simplify]: Simplify (+ (/ -1/2 (* (/ 1 N) (/ 1 N))) (/ 1 (/ 1 N))) into (- N (* 1/2 (pow N 2))) 28.764 * [approximate]: Taking taylor expansion of (- N (* 1/2 (pow N 2))) in (N) around 0 28.764 * [taylor]: Taking taylor expansion of (- N (* 1/2 (pow N 2))) in N 28.765 * [taylor]: Taking taylor expansion of N in N 28.765 * [backup-simplify]: Simplify 0 into 0 28.765 * [backup-simplify]: Simplify 1 into 1 28.765 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 28.765 * [taylor]: Taking taylor expansion of 1/2 in N 28.765 * [backup-simplify]: Simplify 1/2 into 1/2 28.765 * [taylor]: Taking taylor expansion of (pow N 2) in N 28.765 * [taylor]: Taking taylor expansion of N in N 28.765 * [backup-simplify]: Simplify 0 into 0 28.765 * [backup-simplify]: Simplify 1 into 1 28.765 * [taylor]: Taking taylor expansion of (- N (* 1/2 (pow N 2))) in N 28.765 * [taylor]: Taking taylor expansion of N in N 28.765 * [backup-simplify]: Simplify 0 into 0 28.765 * [backup-simplify]: Simplify 1 into 1 28.765 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 28.765 * [taylor]: Taking taylor expansion of 1/2 in N 28.765 * [backup-simplify]: Simplify 1/2 into 1/2 28.765 * [taylor]: Taking taylor expansion of (pow N 2) in N 28.765 * [taylor]: Taking taylor expansion of N in N 28.765 * [backup-simplify]: Simplify 0 into 0 28.765 * [backup-simplify]: Simplify 1 into 1 28.766 * [backup-simplify]: Simplify (+ 0 0) into 0 28.766 * [backup-simplify]: Simplify 0 into 0 28.766 * [backup-simplify]: Simplify (+ 1 0) into 1 28.766 * [backup-simplify]: Simplify 1 into 1 28.767 * [backup-simplify]: Simplify (* 1 1) into 1 28.767 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.767 * [backup-simplify]: Simplify (- 1/2) into -1/2 28.768 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 28.768 * [backup-simplify]: Simplify -1/2 into -1/2 28.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.769 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 28.770 * [backup-simplify]: Simplify (- 0) into 0 28.770 * [backup-simplify]: Simplify (+ 0 0) into 0 28.770 * [backup-simplify]: Simplify 0 into 0 28.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.772 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 28.772 * [backup-simplify]: Simplify (- 0) into 0 28.773 * [backup-simplify]: Simplify (+ 0 0) into 0 28.773 * [backup-simplify]: Simplify 0 into 0 28.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.775 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.775 * [backup-simplify]: Simplify (- 0) into 0 28.776 * [backup-simplify]: Simplify (+ 0 0) into 0 28.776 * [backup-simplify]: Simplify 0 into 0 28.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.779 * [backup-simplify]: Simplify (- 0) into 0 28.779 * [backup-simplify]: Simplify (+ 0 0) into 0 28.779 * [backup-simplify]: Simplify 0 into 0 28.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 28.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 28.783 * [backup-simplify]: Simplify (- 0) into 0 28.783 * [backup-simplify]: Simplify (+ 0 0) into 0 28.783 * [backup-simplify]: Simplify 0 into 0 28.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 28.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 28.787 * [backup-simplify]: Simplify (- 0) into 0 28.787 * [backup-simplify]: Simplify (+ 0 0) into 0 28.787 * [backup-simplify]: Simplify 0 into 0 28.787 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N))) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 28.788 * [backup-simplify]: Simplify (+ (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N)))) (/ 1 (/ 1 (- N)))) into (- (+ N (* 1/2 (pow N 2)))) 28.788 * [approximate]: Taking taylor expansion of (- (+ N (* 1/2 (pow N 2)))) in (N) around 0 28.788 * [taylor]: Taking taylor expansion of (- (+ N (* 1/2 (pow N 2)))) in N 28.788 * [taylor]: Taking taylor expansion of (+ N (* 1/2 (pow N 2))) in N 28.788 * [taylor]: Taking taylor expansion of N in N 28.788 * [backup-simplify]: Simplify 0 into 0 28.788 * [backup-simplify]: Simplify 1 into 1 28.788 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 28.788 * [taylor]: Taking taylor expansion of 1/2 in N 28.788 * [backup-simplify]: Simplify 1/2 into 1/2 28.788 * [taylor]: Taking taylor expansion of (pow N 2) in N 28.788 * [taylor]: Taking taylor expansion of N in N 28.788 * [backup-simplify]: Simplify 0 into 0 28.788 * [backup-simplify]: Simplify 1 into 1 28.788 * [taylor]: Taking taylor expansion of (- (+ N (* 1/2 (pow N 2)))) in N 28.788 * [taylor]: Taking taylor expansion of (+ N (* 1/2 (pow N 2))) in N 28.788 * [taylor]: Taking taylor expansion of N in N 28.788 * [backup-simplify]: Simplify 0 into 0 28.788 * [backup-simplify]: Simplify 1 into 1 28.788 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 28.788 * [taylor]: Taking taylor expansion of 1/2 in N 28.788 * [backup-simplify]: Simplify 1/2 into 1/2 28.788 * [taylor]: Taking taylor expansion of (pow N 2) in N 28.788 * [taylor]: Taking taylor expansion of N in N 28.788 * [backup-simplify]: Simplify 0 into 0 28.788 * [backup-simplify]: Simplify 1 into 1 28.789 * [backup-simplify]: Simplify (+ 0 0) into 0 28.789 * [backup-simplify]: Simplify (- 0) into 0 28.789 * [backup-simplify]: Simplify 0 into 0 28.790 * [backup-simplify]: Simplify (+ 1 0) into 1 28.791 * [backup-simplify]: Simplify (- 1) into -1 28.791 * [backup-simplify]: Simplify -1 into -1 28.791 * [backup-simplify]: Simplify (* 1 1) into 1 28.791 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 28.792 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 28.792 * [backup-simplify]: Simplify (- 1/2) into -1/2 28.792 * [backup-simplify]: Simplify -1/2 into -1/2 28.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 28.794 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 28.794 * [backup-simplify]: Simplify (+ 0 0) into 0 28.794 * [backup-simplify]: Simplify (- 0) into 0 28.794 * [backup-simplify]: Simplify 0 into 0 28.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 28.796 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 28.797 * [backup-simplify]: Simplify (+ 0 0) into 0 28.797 * [backup-simplify]: Simplify (- 0) into 0 28.797 * [backup-simplify]: Simplify 0 into 0 28.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.799 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 28.800 * [backup-simplify]: Simplify (+ 0 0) into 0 28.800 * [backup-simplify]: Simplify (- 0) into 0 28.800 * [backup-simplify]: Simplify 0 into 0 28.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.803 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 28.803 * [backup-simplify]: Simplify (+ 0 0) into 0 28.803 * [backup-simplify]: Simplify (- 0) into 0 28.804 * [backup-simplify]: Simplify 0 into 0 28.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 28.806 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 28.807 * [backup-simplify]: Simplify (+ 0 0) into 0 28.807 * [backup-simplify]: Simplify (- 0) into 0 28.807 * [backup-simplify]: Simplify 0 into 0 28.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 28.811 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 28.811 * [backup-simplify]: Simplify (+ 0 0) into 0 28.811 * [backup-simplify]: Simplify (- 0) into 0 28.811 * [backup-simplify]: Simplify 0 into 0 28.812 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N)))) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 28.812 * * * [progress]: simplifying candidates 28.812 * * * * [progress]: [ 1 / 110 ] simplifiying candidate # 28.812 * * * * [progress]: [ 2 / 110 ] simplifiying candidate # 28.812 * * * * [progress]: [ 3 / 110 ] simplifiying candidate # 28.812 * * * * [progress]: [ 4 / 110 ] simplifiying candidate # 28.812 * [simplify]: Simplifying (- (log -1/3) (+ (+ (log N) (log N)) (log N))) 28.812 * * [simplify]: iters left: 6 (7 enodes) 28.817 * * [simplify]: iters left: 5 (26 enodes) 28.826 * * [simplify]: iters left: 4 (40 enodes) 28.839 * * [simplify]: iters left: 3 (62 enodes) 28.853 * * [simplify]: iters left: 2 (94 enodes) 28.870 * * [simplify]: iters left: 1 (111 enodes) 28.897 * * [simplify]: Extracting #0: cost 1 inf + 0 28.897 * * [simplify]: Extracting #1: cost 19 inf + 0 28.897 * * [simplify]: Extracting #2: cost 37 inf + 0 28.898 * * [simplify]: Extracting #3: cost 30 inf + 477 28.899 * * [simplify]: Extracting #4: cost 7 inf + 4722 28.901 * * [simplify]: Extracting #5: cost 0 inf + 6245 28.903 * [simplify]: Simplified to (- (log -1/3) (+ (log N) (+ (log N) (log N)))) 28.904 * [simplify]: Simplified (2 2 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (exp (- (log -1/3) (+ (log N) (+ (log N) (log N))))))) 28.904 * * * * [progress]: [ 5 / 110 ] simplifiying candidate # 28.904 * [simplify]: Simplifying (- (log -1/3) (+ (log (* N N)) (log N))) 28.904 * * [simplify]: iters left: 6 (8 enodes) 28.909 * * [simplify]: iters left: 5 (30 enodes) 28.919 * * [simplify]: iters left: 4 (44 enodes) 28.933 * * [simplify]: iters left: 3 (66 enodes) 28.956 * * [simplify]: iters left: 2 (98 enodes) 28.980 * * [simplify]: iters left: 1 (115 enodes) 28.998 * * [simplify]: Extracting #0: cost 1 inf + 0 28.998 * * [simplify]: Extracting #1: cost 19 inf + 0 28.998 * * [simplify]: Extracting #2: cost 38 inf + 0 28.998 * * [simplify]: Extracting #3: cost 30 inf + 851 28.999 * * [simplify]: Extracting #4: cost 9 inf + 4731 29.000 * * [simplify]: Extracting #5: cost 2 inf + 6273 29.002 * * [simplify]: Extracting #6: cost 0 inf + 6757 29.004 * [simplify]: Simplified to (- (+ (log N) (- (log N) (- (log -1/3) (log N))))) 29.004 * [simplify]: Simplified (2 2 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (exp (- (+ (log N) (- (log N) (- (log -1/3) (log N)))))))) 29.005 * * * * [progress]: [ 6 / 110 ] simplifiying candidate # 29.005 * [simplify]: Simplifying (- (log -1/3) (log (* (* N N) N))) 29.005 * * [simplify]: iters left: 6 (7 enodes) 29.009 * * [simplify]: iters left: 5 (27 enodes) 29.019 * * [simplify]: iters left: 4 (43 enodes) 29.030 * * [simplify]: iters left: 3 (68 enodes) 29.042 * * [simplify]: iters left: 2 (110 enodes) 29.073 * * [simplify]: iters left: 1 (183 enodes) 29.131 * * [simplify]: Extracting #0: cost 1 inf + 0 29.131 * * [simplify]: Extracting #1: cost 26 inf + 0 29.131 * * [simplify]: Extracting #2: cost 56 inf + 2 29.131 * * [simplify]: Extracting #3: cost 49 inf + 1611 29.132 * * [simplify]: Extracting #4: cost 13 inf + 9518 29.134 * * [simplify]: Extracting #5: cost 7 inf + 9662 29.136 * * [simplify]: Extracting #6: cost 1 inf + 11044 29.138 * * [simplify]: Extracting #7: cost 0 inf + 11507 29.139 * [simplify]: Simplified to (fma -3 (log N) (log -1/3)) 29.139 * [simplify]: Simplified (2 2 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (exp (fma -3 (log N) (log -1/3))))) 29.140 * * * * [progress]: [ 7 / 110 ] simplifiying candidate # 29.140 * * * * [progress]: [ 8 / 110 ] simplifiying candidate # 29.140 * * * * [progress]: [ 9 / 110 ] simplifiying candidate # 29.140 * [simplify]: Simplifying (/ (* (* -1/3 -1/3) -1/3) (* (* (* (* N N) N) (* (* N N) N)) (* (* N N) N))) 29.140 * * [simplify]: iters left: 6 (9 enodes) 29.143 * * [simplify]: iters left: 5 (46 enodes) 29.156 * * [simplify]: iters left: 4 (159 enodes) 29.224 * * [simplify]: Extracting #0: cost 1 inf + 0 29.225 * * [simplify]: Extracting #1: cost 70 inf + 0 29.226 * * [simplify]: Extracting #2: cost 140 inf + 1663 29.233 * * [simplify]: Extracting #3: cost 52 inf + 14690 29.244 * * [simplify]: Extracting #4: cost 2 inf + 23098 29.252 * * [simplify]: Extracting #5: cost 0 inf + 23512 29.258 * [simplify]: Simplified to (/ -1/27 (* (* (* N N) (* N N)) (* (* (* N N) (* N N)) N))) 29.258 * [simplify]: Simplified (2 2 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (cbrt (/ -1/27 (* (* (* N N) (* N N)) (* (* (* N N) (* N N)) N)))))) 29.258 * * * * [progress]: [ 10 / 110 ] simplifiying candidate # 29.259 * [simplify]: Simplifying (/ (* (* -1/3 -1/3) -1/3) (* (* (* (* N N) (* N N)) (* N N)) (* (* N N) N))) 29.259 * * [simplify]: iters left: 6 (10 enodes) 29.262 * * [simplify]: iters left: 5 (51 enodes) 29.274 * * [simplify]: iters left: 4 (167 enodes) 29.347 * * [simplify]: Extracting #0: cost 1 inf + 0 29.347 * * [simplify]: Extracting #1: cost 75 inf + 0 29.349 * * [simplify]: Extracting #2: cost 142 inf + 1745 29.355 * * [simplify]: Extracting #3: cost 30 inf + 18706 29.367 * * [simplify]: Extracting #4: cost 3 inf + 23092 29.378 * * [simplify]: Extracting #5: cost 0 inf + 23848 29.386 * [simplify]: Simplified to (/ -1/27 (* (* N (* (* N N) (* N N))) (* (* N N) (* N N)))) 29.386 * [simplify]: Simplified (2 2 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (cbrt (/ -1/27 (* (* N (* (* N N) (* N N))) (* (* N N) (* N N))))))) 29.386 * * * * [progress]: [ 11 / 110 ] simplifiying candidate # 29.386 * [simplify]: Simplifying (/ (* (* -1/3 -1/3) -1/3) (* (* (* (* N N) N) (* (* N N) N)) (* (* N N) N))) 29.386 * * [simplify]: iters left: 6 (9 enodes) 29.390 * * [simplify]: iters left: 5 (46 enodes) 29.401 * * [simplify]: iters left: 4 (159 enodes) 29.493 * * [simplify]: Extracting #0: cost 1 inf + 0 29.494 * * [simplify]: Extracting #1: cost 70 inf + 0 29.495 * * [simplify]: Extracting #2: cost 140 inf + 1663 29.502 * * [simplify]: Extracting #3: cost 52 inf + 14690 29.509 * * [simplify]: Extracting #4: cost 2 inf + 23098 29.515 * * [simplify]: Extracting #5: cost 0 inf + 23512 29.521 * [simplify]: Simplified to (/ -1/27 (* (* (* N N) (* N N)) (* (* (* N N) (* N N)) N))) 29.521 * [simplify]: Simplified (2 2 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (cbrt (/ -1/27 (* (* (* N N) (* N N)) (* (* (* N N) (* N N)) N)))))) 29.521 * * * * [progress]: [ 12 / 110 ] simplifiying candidate # 29.521 * * * * [progress]: [ 13 / 110 ] simplifiying candidate # 29.521 * * * * [progress]: [ 14 / 110 ] simplifiying candidate # 29.521 * * * * [progress]: [ 15 / 110 ] simplifiying candidate # 29.521 * * * * [progress]: [ 16 / 110 ] simplifiying candidate # 29.522 * [simplify]: Simplifying (/ (* (cbrt -1/3) (cbrt -1/3)) (* N N)) 29.522 * * [simplify]: iters left: 5 (6 enodes) 29.524 * * [simplify]: iters left: 4 (24 enodes) 29.529 * * [simplify]: iters left: 3 (39 enodes) 29.535 * * [simplify]: iters left: 2 (46 enodes) 29.542 * * [simplify]: iters left: 1 (49 enodes) 29.549 * * [simplify]: Extracting #0: cost 1 inf + 0 29.549 * * [simplify]: Extracting #1: cost 11 inf + 0 29.549 * * [simplify]: Extracting #2: cost 18 inf + 42 29.550 * * [simplify]: Extracting #3: cost 16 inf + 84 29.550 * * [simplify]: Extracting #4: cost 14 inf + 287 29.550 * * [simplify]: Extracting #5: cost 2 inf + 1948 29.550 * * [simplify]: Extracting #6: cost 0 inf + 2272 29.551 * [simplify]: Simplified to (* (/ (cbrt -1/3) N) (/ (cbrt -1/3) N)) 29.551 * [simplify]: Simplified (2 2 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (* (* (/ (cbrt -1/3) N) (/ (cbrt -1/3) N)) (/ (cbrt -1/3) N)))) 29.551 * [simplify]: Simplifying (/ (cbrt -1/3) N) 29.551 * * [simplify]: iters left: 3 (4 enodes) 29.552 * * [simplify]: iters left: 2 (12 enodes) 29.555 * * [simplify]: Extracting #0: cost 1 inf + 0 29.555 * * [simplify]: Extracting #1: cost 4 inf + 0 29.555 * * [simplify]: Extracting #2: cost 5 inf + 1 29.555 * * [simplify]: Extracting #3: cost 4 inf + 2 29.555 * * [simplify]: Extracting #4: cost 0 inf + 408 29.555 * [simplify]: Simplified to (/ (cbrt -1/3) N) 29.555 * [simplify]: Simplified (2 2 2) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (* (* (/ (cbrt -1/3) N) (/ (cbrt -1/3) N)) (/ (cbrt -1/3) N)))) 29.555 * * * * [progress]: [ 17 / 110 ] simplifiying candidate # 29.555 * [simplify]: Simplifying (/ (sqrt -1/3) (* N N)) 29.555 * * [simplify]: iters left: 4 (5 enodes) 29.557 * * [simplify]: iters left: 3 (17 enodes) 29.563 * * [simplify]: iters left: 2 (19 enodes) 29.569 * * [simplify]: Extracting #0: cost 1 inf + 0 29.569 * * [simplify]: Extracting #1: cost 6 inf + 0 29.569 * * [simplify]: Extracting #2: cost 9 inf + 1 29.569 * * [simplify]: Extracting #3: cost 6 inf + 84 29.569 * * [simplify]: Extracting #4: cost 0 inf + 574 29.570 * [simplify]: Simplified to (/ (sqrt -1/3) (* N N)) 29.570 * [simplify]: Simplified (2 2 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (* (/ (sqrt -1/3) (* N N)) (/ (sqrt -1/3) N)))) 29.570 * [simplify]: Simplifying (/ (sqrt -1/3) N) 29.570 * * [simplify]: iters left: 3 (4 enodes) 29.573 * * [simplify]: iters left: 2 (12 enodes) 29.577 * * [simplify]: Extracting #0: cost 1 inf + 0 29.577 * * [simplify]: Extracting #1: cost 4 inf + 0 29.577 * * [simplify]: Extracting #2: cost 5 inf + 1 29.577 * * [simplify]: Extracting #3: cost 4 inf + 2 29.577 * * [simplify]: Extracting #4: cost 0 inf + 248 29.577 * [simplify]: Simplified to (/ (sqrt -1/3) N) 29.578 * [simplify]: Simplified (2 2 2) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (* (/ (sqrt -1/3) (* N N)) (/ (sqrt -1/3) N)))) 29.578 * * * * [progress]: [ 18 / 110 ] simplifiying candidate # 29.578 * [simplify]: Simplifying (/ 1 (* N N)) 29.578 * * [simplify]: iters left: 4 (4 enodes) 29.581 * * [simplify]: iters left: 3 (16 enodes) 29.586 * * [simplify]: iters left: 2 (20 enodes) 29.592 * * [simplify]: Extracting #0: cost 1 inf + 0 29.592 * * [simplify]: Extracting #1: cost 6 inf + 0 29.592 * * [simplify]: Extracting #2: cost 5 inf + 43 29.593 * * [simplify]: Extracting #3: cost 1 inf + 290 29.593 * * [simplify]: Extracting #4: cost 0 inf + 332 29.594 * [simplify]: Simplified to (/ 1 (* N N)) 29.594 * [simplify]: Simplified (2 2 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (* (/ 1 (* N N)) (/ -1/3 N)))) 29.595 * [simplify]: Simplifying (/ -1/3 N) 29.595 * * [simplify]: iters left: 2 (3 enodes) 29.596 * * [simplify]: iters left: 1 (9 enodes) 29.597 * * [simplify]: Extracting #0: cost 1 inf + 0 29.597 * * [simplify]: Extracting #1: cost 4 inf + 0 29.597 * * [simplify]: Extracting #2: cost 2 inf + 2 29.597 * * [simplify]: Extracting #3: cost 0 inf + 86 29.598 * [simplify]: Simplified to (/ -1/3 N) 29.598 * [simplify]: Simplified (2 2 2) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (* (/ 1 (* N N)) (/ -1/3 N)))) 29.598 * * * * [progress]: [ 19 / 110 ] simplifiying candidate # 29.598 * * * * [progress]: [ 20 / 110 ] simplifiying candidate # 29.598 * * * * [progress]: [ 21 / 110 ] simplifiying candidate # 29.598 * * * * [progress]: [ 22 / 110 ] simplifiying candidate # 29.598 * * * * [progress]: [ 23 / 110 ] simplifiying candidate # 29.598 * [simplify]: Simplifying (* (cbrt -1/3) (cbrt -1/3)) 29.598 * * [simplify]: iters left: 3 (3 enodes) 29.600 * * [simplify]: iters left: 2 (9 enodes) 29.602 * * [simplify]: Extracting #0: cost 1 inf + 0 29.602 * * [simplify]: Extracting #1: cost 3 inf + 0 29.602 * * [simplify]: Extracting #2: cost 5 inf + 0 29.602 * * [simplify]: Extracting #3: cost 4 inf + 1 29.602 * * [simplify]: Extracting #4: cost 0 inf + 405 29.602 * [simplify]: Simplified to (* (cbrt -1/3) (cbrt -1/3)) 29.602 * [simplify]: Simplified (2 2 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (/ (* (cbrt -1/3) (cbrt -1/3)) (/ (* (* N N) N) (cbrt -1/3))))) 29.602 * * * * [progress]: [ 24 / 110 ] simplifiying candidate # 29.602 * [simplify]: Simplifying (sqrt -1/3) 29.602 * * [simplify]: iters left: 1 (2 enodes) 29.603 * * [simplify]: Extracting #0: cost 1 inf + 0 29.603 * * [simplify]: Extracting #1: cost 3 inf + 0 29.603 * * [simplify]: Extracting #2: cost 2 inf + 1 29.603 * * [simplify]: Extracting #3: cost 0 inf + 83 29.603 * [simplify]: Simplified to (sqrt -1/3) 29.603 * [simplify]: Simplified (2 2 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (/ (sqrt -1/3) (/ (* (* N N) N) (sqrt -1/3))))) 29.603 * * * * [progress]: [ 25 / 110 ] simplifiying candidate # 29.603 * * * * [progress]: [ 26 / 110 ] simplifiying candidate #real (real->posit16 (/ -1/3 (* (* N N) N))))))> 29.603 * * * * [progress]: [ 27 / 110 ] simplifiying candidate # 29.603 * * * * [progress]: [ 28 / 110 ] simplifiying candidate # 29.604 * * * * [progress]: [ 29 / 110 ] simplifiying candidate # 29.604 * * * * [progress]: [ 30 / 110 ] simplifiying candidate # 29.604 * [simplify]: Simplifying (- (log -1/2) (+ (log N) (log N))) 29.604 * * [simplify]: iters left: 5 (6 enodes) 29.606 * * [simplify]: iters left: 4 (22 enodes) 29.609 * * [simplify]: iters left: 3 (31 enodes) 29.614 * * [simplify]: iters left: 2 (39 enodes) 29.620 * * [simplify]: iters left: 1 (45 enodes) 29.627 * * [simplify]: Extracting #0: cost 1 inf + 0 29.627 * * [simplify]: Extracting #1: cost 10 inf + 0 29.627 * * [simplify]: Extracting #2: cost 20 inf + 0 29.627 * * [simplify]: Extracting #3: cost 16 inf + 184 29.627 * * [simplify]: Extracting #4: cost 5 inf + 1698 29.628 * * [simplify]: Extracting #5: cost 0 inf + 2537 29.628 * [simplify]: Simplified to (- (log -1/2) (+ (log N) (log N))) 29.628 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (exp (- (log -1/2) (+ (log N) (log N)))) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 29.628 * * * * [progress]: [ 31 / 110 ] simplifiying candidate # 29.629 * [simplify]: Simplifying (- (log -1/2) (log (* N N))) 29.629 * * [simplify]: iters left: 5 (6 enodes) 29.631 * * [simplify]: iters left: 4 (22 enodes) 29.636 * * [simplify]: iters left: 3 (31 enodes) 29.646 * * [simplify]: iters left: 2 (41 enodes) 29.659 * * [simplify]: iters left: 1 (48 enodes) 29.673 * * [simplify]: Extracting #0: cost 1 inf + 0 29.673 * * [simplify]: Extracting #1: cost 12 inf + 0 29.673 * * [simplify]: Extracting #2: cost 25 inf + 0 29.674 * * [simplify]: Extracting #3: cost 10 inf + 1748 29.675 * * [simplify]: Extracting #4: cost 0 inf + 3263 29.675 * [simplify]: Simplified to (- (log -1/2) (+ (log N) (log N))) 29.676 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (exp (- (log -1/2) (+ (log N) (log N)))) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 29.676 * * * * [progress]: [ 32 / 110 ] simplifiying candidate # 29.676 * * * * [progress]: [ 33 / 110 ] simplifiying candidate # 29.676 * * * * [progress]: [ 34 / 110 ] simplifiying candidate # 29.676 * [simplify]: Simplifying (/ (* (* -1/2 -1/2) -1/2) (* (* (* N N) N) (* (* N N) N))) 29.676 * * [simplify]: iters left: 6 (8 enodes) 29.682 * * [simplify]: iters left: 5 (40 enodes) 29.700 * * [simplify]: iters left: 4 (125 enodes) 29.765 * * [simplify]: iters left: 3 (395 enodes) 29.985 * * [simplify]: Extracting #0: cost 1 inf + 0 29.985 * * [simplify]: Extracting #1: cost 86 inf + 0 29.986 * * [simplify]: Extracting #2: cost 142 inf + 3503 29.991 * * [simplify]: Extracting #3: cost 48 inf + 15446 29.997 * * [simplify]: Extracting #4: cost 14 inf + 21195 30.003 * * [simplify]: Extracting #5: cost 0 inf + 25333 30.014 * [simplify]: Simplified to (/ -1/8 (* (* N (* N N)) (* N (* N N)))) 30.015 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (cbrt (/ -1/8 (* (* N (* N N)) (* N (* N N))))) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 30.015 * * * * [progress]: [ 35 / 110 ] simplifiying candidate # 30.015 * [simplify]: Simplifying (/ (* (* -1/2 -1/2) -1/2) (* (* (* N N) (* N N)) (* N N))) 30.015 * * [simplify]: iters left: 6 (8 enodes) 30.022 * * [simplify]: iters left: 5 (41 enodes) 30.041 * * [simplify]: iters left: 4 (128 enodes) 30.107 * * [simplify]: iters left: 3 (370 enodes) 30.352 * * [simplify]: Extracting #0: cost 1 inf + 0 30.352 * * [simplify]: Extracting #1: cost 85 inf + 0 30.354 * * [simplify]: Extracting #2: cost 134 inf + 2854 30.361 * * [simplify]: Extracting #3: cost 61 inf + 11812 30.372 * * [simplify]: Extracting #4: cost 18 inf + 18887 30.383 * * [simplify]: Extracting #5: cost 0 inf + 24276 30.395 * [simplify]: Simplified to (/ (/ -1/8 (* N (* N N))) (* N (* N N))) 30.395 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (cbrt (/ (/ -1/8 (* N (* N N))) (* N (* N N)))) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 30.395 * * * * [progress]: [ 36 / 110 ] simplifiying candidate # 30.395 * * * * [progress]: [ 37 / 110 ] simplifiying candidate # 30.395 * * * * [progress]: [ 38 / 110 ] simplifiying candidate # 30.395 * * * * [progress]: [ 39 / 110 ] simplifiying candidate # 30.395 * * * * [progress]: [ 40 / 110 ] simplifiying candidate # 30.396 * [simplify]: Simplifying (/ (* (cbrt -1/2) (cbrt -1/2)) N) 30.396 * * [simplify]: iters left: 5 (5 enodes) 30.399 * * [simplify]: iters left: 4 (17 enodes) 30.409 * * [simplify]: iters left: 3 (21 enodes) 30.416 * * [simplify]: iters left: 2 (24 enodes) 30.424 * * [simplify]: Extracting #0: cost 1 inf + 0 30.424 * * [simplify]: Extracting #1: cost 7 inf + 0 30.424 * * [simplify]: Extracting #2: cost 11 inf + 1 30.425 * * [simplify]: Extracting #3: cost 10 inf + 2 30.425 * * [simplify]: Extracting #4: cost 0 inf + 1218 30.425 * [simplify]: Simplified to (/ (* (cbrt -1/2) (cbrt -1/2)) N) 30.425 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (* (/ (* (cbrt -1/2) (cbrt -1/2)) N) (/ (cbrt -1/2) N)) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 30.426 * [simplify]: Simplifying (/ (cbrt -1/2) N) 30.426 * * [simplify]: iters left: 3 (4 enodes) 30.429 * * [simplify]: iters left: 2 (12 enodes) 30.433 * * [simplify]: Extracting #0: cost 1 inf + 0 30.433 * * [simplify]: Extracting #1: cost 4 inf + 0 30.433 * * [simplify]: Extracting #2: cost 5 inf + 1 30.433 * * [simplify]: Extracting #3: cost 4 inf + 2 30.433 * * [simplify]: Extracting #4: cost 0 inf + 408 30.434 * [simplify]: Simplified to (/ (cbrt -1/2) N) 30.434 * [simplify]: Simplified (2 1 2 1 1 2) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (* (/ (* (cbrt -1/2) (cbrt -1/2)) N) (/ (cbrt -1/2) N)) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 30.434 * * * * [progress]: [ 41 / 110 ] simplifiying candidate # 30.434 * [simplify]: Simplifying (/ (sqrt -1/2) N) 30.434 * * [simplify]: iters left: 3 (4 enodes) 30.437 * * [simplify]: iters left: 2 (12 enodes) 30.441 * * [simplify]: Extracting #0: cost 1 inf + 0 30.441 * * [simplify]: Extracting #1: cost 4 inf + 0 30.441 * * [simplify]: Extracting #2: cost 5 inf + 1 30.441 * * [simplify]: Extracting #3: cost 4 inf + 2 30.441 * * [simplify]: Extracting #4: cost 0 inf + 248 30.442 * [simplify]: Simplified to (/ (sqrt -1/2) N) 30.442 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (* (/ (sqrt -1/2) N) (/ (sqrt -1/2) N)) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 30.442 * [simplify]: Simplifying (/ (sqrt -1/2) N) 30.442 * * [simplify]: iters left: 3 (4 enodes) 30.445 * * [simplify]: iters left: 2 (12 enodes) 30.449 * * [simplify]: Extracting #0: cost 1 inf + 0 30.449 * * [simplify]: Extracting #1: cost 4 inf + 0 30.449 * * [simplify]: Extracting #2: cost 5 inf + 1 30.449 * * [simplify]: Extracting #3: cost 4 inf + 2 30.449 * * [simplify]: Extracting #4: cost 0 inf + 248 30.449 * [simplify]: Simplified to (/ (sqrt -1/2) N) 30.449 * [simplify]: Simplified (2 1 2 1 1 2) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (* (/ (sqrt -1/2) N) (/ (sqrt -1/2) N)) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 30.449 * * * * [progress]: [ 42 / 110 ] simplifiying candidate # 30.450 * [simplify]: Simplifying (/ 1 N) 30.450 * * [simplify]: iters left: 2 (3 enodes) 30.451 * * [simplify]: iters left: 1 (11 enodes) 30.453 * * [simplify]: Extracting #0: cost 1 inf + 0 30.453 * * [simplify]: Extracting #1: cost 4 inf + 0 30.453 * * [simplify]: Extracting #2: cost 2 inf + 2 30.453 * * [simplify]: Extracting #3: cost 0 inf + 86 30.453 * [simplify]: Simplified to (/ 1 N) 30.453 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (* (/ 1 N) (/ -1/2 N)) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 30.453 * [simplify]: Simplifying (/ -1/2 N) 30.453 * * [simplify]: iters left: 2 (3 enodes) 30.454 * * [simplify]: iters left: 1 (9 enodes) 30.455 * * [simplify]: Extracting #0: cost 1 inf + 0 30.455 * * [simplify]: Extracting #1: cost 4 inf + 0 30.456 * * [simplify]: Extracting #2: cost 2 inf + 2 30.456 * * [simplify]: Extracting #3: cost 0 inf + 86 30.456 * [simplify]: Simplified to (/ -1/2 N) 30.456 * [simplify]: Simplified (2 1 2 1 1 2) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (* (/ 1 N) (/ -1/2 N)) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 30.456 * * * * [progress]: [ 43 / 110 ] simplifiying candidate # 30.456 * * * * [progress]: [ 44 / 110 ] simplifiying candidate # 30.456 * * * * [progress]: [ 45 / 110 ] simplifiying candidate # 30.456 * * * * [progress]: [ 46 / 110 ] simplifiying candidate # 30.456 * * * * [progress]: [ 47 / 110 ] simplifiying candidate # 30.456 * [simplify]: Simplifying (* (cbrt -1/2) (cbrt -1/2)) 30.456 * * [simplify]: iters left: 3 (3 enodes) 30.457 * * [simplify]: iters left: 2 (9 enodes) 30.459 * * [simplify]: Extracting #0: cost 1 inf + 0 30.459 * * [simplify]: Extracting #1: cost 3 inf + 0 30.459 * * [simplify]: Extracting #2: cost 5 inf + 0 30.459 * * [simplify]: Extracting #3: cost 4 inf + 1 30.459 * * [simplify]: Extracting #4: cost 0 inf + 405 30.459 * [simplify]: Simplified to (* (cbrt -1/2) (cbrt -1/2)) 30.459 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* N N) (cbrt -1/2))) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 30.459 * * * * [progress]: [ 48 / 110 ] simplifiying candidate # 30.460 * [simplify]: Simplifying (sqrt -1/2) 30.460 * * [simplify]: iters left: 1 (2 enodes) 30.461 * * [simplify]: Extracting #0: cost 1 inf + 0 30.461 * * [simplify]: Extracting #1: cost 3 inf + 0 30.461 * * [simplify]: Extracting #2: cost 2 inf + 1 30.461 * * [simplify]: Extracting #3: cost 0 inf + 83 30.461 * [simplify]: Simplified to (sqrt -1/2) 30.461 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ (sqrt -1/2) (/ (* N N) (sqrt -1/2))) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 30.461 * * * * [progress]: [ 49 / 110 ] simplifiying candidate # 30.461 * * * * [progress]: [ 50 / 110 ] simplifiying candidate #real (real->posit16 (/ -1/2 (* N N)))) (/ 1 N)))) (/ -1/3 (* (* N N) N))))> 30.461 * * * * [progress]: [ 51 / 110 ] simplifiying candidate # 30.461 * * * * [progress]: [ 52 / 110 ] simplifiying candidate # 30.461 * * * * [progress]: [ 53 / 110 ] simplifiying candidate # 30.461 * * * * [progress]: [ 54 / 110 ] simplifiying candidate # 30.461 * [simplify]: Simplifying (- (log -1/2) (+ (log N) (log N))) 30.461 * * [simplify]: iters left: 5 (6 enodes) 30.463 * * [simplify]: iters left: 4 (22 enodes) 30.467 * * [simplify]: iters left: 3 (31 enodes) 30.472 * * [simplify]: iters left: 2 (39 enodes) 30.478 * * [simplify]: iters left: 1 (45 enodes) 30.485 * * [simplify]: Extracting #0: cost 1 inf + 0 30.485 * * [simplify]: Extracting #1: cost 10 inf + 0 30.485 * * [simplify]: Extracting #2: cost 20 inf + 0 30.485 * * [simplify]: Extracting #3: cost 16 inf + 184 30.485 * * [simplify]: Extracting #4: cost 5 inf + 1698 30.486 * * [simplify]: Extracting #5: cost 0 inf + 2537 30.486 * [simplify]: Simplified to (- (log -1/2) (+ (log N) (log N))) 30.486 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (N) (- (* (sqrt (+ (exp (- (log -1/2) (+ (log N) (log N)))) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 30.486 * * * * [progress]: [ 55 / 110 ] simplifiying candidate # 30.487 * [simplify]: Simplifying (- (log -1/2) (log (* N N))) 30.487 * * [simplify]: iters left: 5 (6 enodes) 30.489 * * [simplify]: iters left: 4 (22 enodes) 30.492 * * [simplify]: iters left: 3 (31 enodes) 30.502 * * [simplify]: iters left: 2 (41 enodes) 30.514 * * [simplify]: iters left: 1 (48 enodes) 30.530 * * [simplify]: Extracting #0: cost 1 inf + 0 30.530 * * [simplify]: Extracting #1: cost 12 inf + 0 30.530 * * [simplify]: Extracting #2: cost 25 inf + 0 30.531 * * [simplify]: Extracting #3: cost 10 inf + 1748 30.532 * * [simplify]: Extracting #4: cost 0 inf + 3263 30.533 * [simplify]: Simplified to (- (log -1/2) (+ (log N) (log N))) 30.533 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (N) (- (* (sqrt (+ (exp (- (log -1/2) (+ (log N) (log N)))) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 30.533 * * * * [progress]: [ 56 / 110 ] simplifiying candidate # 30.533 * * * * [progress]: [ 57 / 110 ] simplifiying candidate # 30.534 * * * * [progress]: [ 58 / 110 ] simplifiying candidate # 30.534 * [simplify]: Simplifying (/ (* (* -1/2 -1/2) -1/2) (* (* (* N N) N) (* (* N N) N))) 30.534 * * [simplify]: iters left: 6 (8 enodes) 30.539 * * [simplify]: iters left: 5 (40 enodes) 30.558 * * [simplify]: iters left: 4 (125 enodes) 30.624 * * [simplify]: iters left: 3 (395 enodes) 30.860 * * [simplify]: Extracting #0: cost 1 inf + 0 30.860 * * [simplify]: Extracting #1: cost 86 inf + 0 30.862 * * [simplify]: Extracting #2: cost 142 inf + 3503 30.871 * * [simplify]: Extracting #3: cost 48 inf + 15446 30.882 * * [simplify]: Extracting #4: cost 14 inf + 21195 30.895 * * [simplify]: Extracting #5: cost 0 inf + 25333 30.907 * [simplify]: Simplified to (/ -1/8 (* (* N (* N N)) (* N (* N N)))) 30.907 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (N) (- (* (sqrt (+ (cbrt (/ -1/8 (* (* N (* N N)) (* N (* N N))))) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 30.908 * * * * [progress]: [ 59 / 110 ] simplifiying candidate # 30.908 * [simplify]: Simplifying (/ (* (* -1/2 -1/2) -1/2) (* (* (* N N) (* N N)) (* N N))) 30.908 * * [simplify]: iters left: 6 (8 enodes) 30.916 * * [simplify]: iters left: 5 (41 enodes) 30.926 * * [simplify]: iters left: 4 (128 enodes) 30.974 * * [simplify]: iters left: 3 (370 enodes) 31.177 * * [simplify]: Extracting #0: cost 1 inf + 0 31.177 * * [simplify]: Extracting #1: cost 85 inf + 0 31.178 * * [simplify]: Extracting #2: cost 134 inf + 2854 31.185 * * [simplify]: Extracting #3: cost 61 inf + 11812 31.190 * * [simplify]: Extracting #4: cost 18 inf + 18887 31.196 * * [simplify]: Extracting #5: cost 0 inf + 24276 31.202 * [simplify]: Simplified to (/ (/ -1/8 (* N (* N N))) (* N (* N N))) 31.202 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (N) (- (* (sqrt (+ (cbrt (/ (/ -1/8 (* N (* N N))) (* N (* N N)))) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 31.202 * * * * [progress]: [ 60 / 110 ] simplifiying candidate # 31.202 * * * * [progress]: [ 61 / 110 ] simplifiying candidate # 31.202 * * * * [progress]: [ 62 / 110 ] simplifiying candidate # 31.202 * * * * [progress]: [ 63 / 110 ] simplifiying candidate # 31.202 * * * * [progress]: [ 64 / 110 ] simplifiying candidate # 31.202 * [simplify]: Simplifying (/ (* (cbrt -1/2) (cbrt -1/2)) N) 31.202 * * [simplify]: iters left: 5 (5 enodes) 31.204 * * [simplify]: iters left: 4 (17 enodes) 31.211 * * [simplify]: iters left: 3 (21 enodes) 31.218 * * [simplify]: iters left: 2 (24 enodes) 31.226 * * [simplify]: Extracting #0: cost 1 inf + 0 31.226 * * [simplify]: Extracting #1: cost 7 inf + 0 31.226 * * [simplify]: Extracting #2: cost 11 inf + 1 31.226 * * [simplify]: Extracting #3: cost 10 inf + 2 31.226 * * [simplify]: Extracting #4: cost 0 inf + 1218 31.227 * [simplify]: Simplified to (/ (* (cbrt -1/2) (cbrt -1/2)) N) 31.227 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (N) (- (* (sqrt (+ (* (/ (* (cbrt -1/2) (cbrt -1/2)) N) (/ (cbrt -1/2) N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 31.227 * [simplify]: Simplifying (/ (cbrt -1/2) N) 31.227 * * [simplify]: iters left: 3 (4 enodes) 31.230 * * [simplify]: iters left: 2 (12 enodes) 31.234 * * [simplify]: Extracting #0: cost 1 inf + 0 31.234 * * [simplify]: Extracting #1: cost 4 inf + 0 31.234 * * [simplify]: Extracting #2: cost 5 inf + 1 31.234 * * [simplify]: Extracting #3: cost 4 inf + 2 31.234 * * [simplify]: Extracting #4: cost 0 inf + 408 31.235 * [simplify]: Simplified to (/ (cbrt -1/2) N) 31.235 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (N) (- (* (sqrt (+ (* (/ (* (cbrt -1/2) (cbrt -1/2)) N) (/ (cbrt -1/2) N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 31.235 * * * * [progress]: [ 65 / 110 ] simplifiying candidate # 31.235 * [simplify]: Simplifying (/ (sqrt -1/2) N) 31.235 * * [simplify]: iters left: 3 (4 enodes) 31.238 * * [simplify]: iters left: 2 (12 enodes) 31.242 * * [simplify]: Extracting #0: cost 1 inf + 0 31.242 * * [simplify]: Extracting #1: cost 4 inf + 0 31.242 * * [simplify]: Extracting #2: cost 5 inf + 1 31.242 * * [simplify]: Extracting #3: cost 4 inf + 2 31.242 * * [simplify]: Extracting #4: cost 0 inf + 248 31.242 * [simplify]: Simplified to (/ (sqrt -1/2) N) 31.242 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (N) (- (* (sqrt (+ (* (/ (sqrt -1/2) N) (/ (sqrt -1/2) N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 31.243 * [simplify]: Simplifying (/ (sqrt -1/2) N) 31.243 * * [simplify]: iters left: 3 (4 enodes) 31.245 * * [simplify]: iters left: 2 (12 enodes) 31.250 * * [simplify]: Extracting #0: cost 1 inf + 0 31.250 * * [simplify]: Extracting #1: cost 4 inf + 0 31.250 * * [simplify]: Extracting #2: cost 5 inf + 1 31.250 * * [simplify]: Extracting #3: cost 4 inf + 2 31.250 * * [simplify]: Extracting #4: cost 0 inf + 248 31.250 * [simplify]: Simplified to (/ (sqrt -1/2) N) 31.250 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (N) (- (* (sqrt (+ (* (/ (sqrt -1/2) N) (/ (sqrt -1/2) N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 31.250 * * * * [progress]: [ 66 / 110 ] simplifiying candidate # 31.251 * [simplify]: Simplifying (/ 1 N) 31.251 * * [simplify]: iters left: 2 (3 enodes) 31.253 * * [simplify]: iters left: 1 (11 enodes) 31.257 * * [simplify]: Extracting #0: cost 1 inf + 0 31.257 * * [simplify]: Extracting #1: cost 4 inf + 0 31.257 * * [simplify]: Extracting #2: cost 2 inf + 2 31.257 * * [simplify]: Extracting #3: cost 0 inf + 86 31.257 * [simplify]: Simplified to (/ 1 N) 31.257 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (N) (- (* (sqrt (+ (* (/ 1 N) (/ -1/2 N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 31.258 * [simplify]: Simplifying (/ -1/2 N) 31.258 * * [simplify]: iters left: 2 (3 enodes) 31.260 * * [simplify]: iters left: 1 (9 enodes) 31.262 * * [simplify]: Extracting #0: cost 1 inf + 0 31.263 * * [simplify]: Extracting #1: cost 4 inf + 0 31.263 * * [simplify]: Extracting #2: cost 2 inf + 2 31.263 * * [simplify]: Extracting #3: cost 0 inf + 86 31.263 * [simplify]: Simplified to (/ -1/2 N) 31.263 * [simplify]: Simplified (2 1 1 1 1 2) to (λ (N) (- (* (sqrt (+ (* (/ 1 N) (/ -1/2 N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 31.263 * * * * [progress]: [ 67 / 110 ] simplifiying candidate # 31.263 * * * * [progress]: [ 68 / 110 ] simplifiying candidate # 31.263 * * * * [progress]: [ 69 / 110 ] simplifiying candidate # 31.263 * * * * [progress]: [ 70 / 110 ] simplifiying candidate # 31.263 * * * * [progress]: [ 71 / 110 ] simplifiying candidate # 31.264 * [simplify]: Simplifying (* (cbrt -1/2) (cbrt -1/2)) 31.264 * * [simplify]: iters left: 3 (3 enodes) 31.266 * * [simplify]: iters left: 2 (9 enodes) 31.270 * * [simplify]: Extracting #0: cost 1 inf + 0 31.270 * * [simplify]: Extracting #1: cost 3 inf + 0 31.270 * * [simplify]: Extracting #2: cost 5 inf + 0 31.270 * * [simplify]: Extracting #3: cost 4 inf + 1 31.270 * * [simplify]: Extracting #4: cost 0 inf + 405 31.270 * [simplify]: Simplified to (* (cbrt -1/2) (cbrt -1/2)) 31.270 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (N) (- (* (sqrt (+ (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* N N) (cbrt -1/2))) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 31.270 * * * * [progress]: [ 72 / 110 ] simplifiying candidate # 31.271 * [simplify]: Simplifying (sqrt -1/2) 31.271 * * [simplify]: iters left: 1 (2 enodes) 31.272 * * [simplify]: Extracting #0: cost 1 inf + 0 31.272 * * [simplify]: Extracting #1: cost 3 inf + 0 31.273 * * [simplify]: Extracting #2: cost 2 inf + 1 31.273 * * [simplify]: Extracting #3: cost 0 inf + 83 31.273 * [simplify]: Simplified to (sqrt -1/2) 31.273 * [simplify]: Simplified (2 1 1 1 1 1) to (λ (N) (- (* (sqrt (+ (/ (sqrt -1/2) (/ (* N N) (sqrt -1/2))) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 31.273 * * * * [progress]: [ 73 / 110 ] simplifiying candidate # 31.273 * * * * [progress]: [ 74 / 110 ] simplifiying candidate #real (real->posit16 (/ -1/2 (* N N)))) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (/ -1/3 (* (* N N) N))))> 31.273 * * * * [progress]: [ 75 / 110 ] simplifiying candidate # 31.273 * * * * [progress]: [ 76 / 110 ] simplifiying candidate # 31.273 * * * * [progress]: [ 77 / 110 ] simplifiying candidate # 31.273 * [simplify]: Simplifying (* (cbrt (/ -1/2 (* N N))) (cbrt (/ -1/2 (* N N)))) 31.273 * * [simplify]: iters left: 6 (6 enodes) 31.277 * * [simplify]: iters left: 5 (20 enodes) 31.284 * * [simplify]: iters left: 4 (22 enodes) 31.291 * * [simplify]: Extracting #0: cost 1 inf + 0 31.291 * * [simplify]: Extracting #1: cost 3 inf + 0 31.291 * * [simplify]: Extracting #2: cost 5 inf + 0 31.291 * * [simplify]: Extracting #3: cost 10 inf + 0 31.291 * * [simplify]: Extracting #4: cost 10 inf + 2 31.291 * * [simplify]: Extracting #5: cost 1 inf + 858 31.292 * * [simplify]: Extracting #6: cost 0 inf + 1060 31.292 * [simplify]: Simplified to (* (cbrt (/ -1/2 (* N N))) (cbrt (/ -1/2 (* N N)))) 31.292 * [simplify]: Simplified (2 1 2 1 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (fma (* (cbrt (/ -1/2 (* N N))) (cbrt (/ -1/2 (* N N)))) (cbrt (/ -1/2 (* N N))) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 31.292 * * * * [progress]: [ 78 / 110 ] simplifiying candidate # 31.293 * [simplify]: Simplifying (sqrt (/ -1/2 (* N N))) 31.293 * * [simplify]: iters left: 5 (5 enodes) 31.295 * * [simplify]: iters left: 4 (17 enodes) 31.301 * * [simplify]: iters left: 3 (19 enodes) 31.307 * * [simplify]: Extracting #0: cost 1 inf + 0 31.307 * * [simplify]: Extracting #1: cost 3 inf + 0 31.307 * * [simplify]: Extracting #2: cost 8 inf + 0 31.307 * * [simplify]: Extracting #3: cost 7 inf + 43 31.307 * * [simplify]: Extracting #4: cost 0 inf + 576 31.307 * [simplify]: Simplified to (sqrt (/ -1/2 (* N N))) 31.308 * [simplify]: Simplified (2 1 2 1 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (fma (sqrt (/ -1/2 (* N N))) (sqrt (/ -1/2 (* N N))) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 31.308 * * * * [progress]: [ 79 / 110 ] simplifiying candidate # 31.308 * [simplify]: Simplifying (/ (* (cbrt -1/2) (cbrt -1/2)) N) 31.308 * * [simplify]: iters left: 5 (5 enodes) 31.311 * * [simplify]: iters left: 4 (17 enodes) 31.318 * * [simplify]: iters left: 3 (21 enodes) 31.323 * * [simplify]: iters left: 2 (24 enodes) 31.329 * * [simplify]: Extracting #0: cost 1 inf + 0 31.329 * * [simplify]: Extracting #1: cost 7 inf + 0 31.329 * * [simplify]: Extracting #2: cost 11 inf + 1 31.329 * * [simplify]: Extracting #3: cost 10 inf + 2 31.329 * * [simplify]: Extracting #4: cost 0 inf + 1218 31.329 * [simplify]: Simplified to (/ (* (cbrt -1/2) (cbrt -1/2)) N) 31.329 * [simplify]: Simplified (2 1 2 1 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (fma (/ (* (cbrt -1/2) (cbrt -1/2)) N) (/ (cbrt -1/2) N) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 31.329 * * * * [progress]: [ 80 / 110 ] simplifiying candidate # 31.330 * [simplify]: Simplifying (/ (sqrt -1/2) N) 31.330 * * [simplify]: iters left: 3 (4 enodes) 31.331 * * [simplify]: iters left: 2 (12 enodes) 31.333 * * [simplify]: Extracting #0: cost 1 inf + 0 31.333 * * [simplify]: Extracting #1: cost 4 inf + 0 31.333 * * [simplify]: Extracting #2: cost 5 inf + 1 31.333 * * [simplify]: Extracting #3: cost 4 inf + 2 31.333 * * [simplify]: Extracting #4: cost 0 inf + 248 31.333 * [simplify]: Simplified to (/ (sqrt -1/2) N) 31.333 * [simplify]: Simplified (2 1 2 1 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (fma (/ (sqrt -1/2) N) (/ (sqrt -1/2) N) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 31.333 * * * * [progress]: [ 81 / 110 ] simplifiying candidate # 31.334 * [simplify]: Simplifying (/ 1 N) 31.334 * * [simplify]: iters left: 2 (3 enodes) 31.334 * * [simplify]: iters left: 1 (11 enodes) 31.336 * * [simplify]: Extracting #0: cost 1 inf + 0 31.336 * * [simplify]: Extracting #1: cost 4 inf + 0 31.336 * * [simplify]: Extracting #2: cost 2 inf + 2 31.336 * * [simplify]: Extracting #3: cost 0 inf + 86 31.336 * [simplify]: Simplified to (/ 1 N) 31.336 * [simplify]: Simplified (2 1 2 1 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (fma (/ 1 N) (/ -1/2 N) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 31.337 * * * * [progress]: [ 82 / 110 ] simplifiying candidate # 31.337 * * * * [progress]: [ 83 / 110 ] simplifiying candidate # 31.337 * * * * [progress]: [ 84 / 110 ] simplifiying candidate # 31.337 * [simplify]: Simplifying (* (exp (/ -1/2 (* N N))) (exp (/ 1 N))) 31.337 * * [simplify]: iters left: 6 (9 enodes) 31.339 * * [simplify]: iters left: 5 (34 enodes) 31.345 * * [simplify]: iters left: 4 (42 enodes) 31.352 * * [simplify]: Extracting #0: cost 1 inf + 0 31.353 * * [simplify]: Extracting #1: cost 5 inf + 0 31.353 * * [simplify]: Extracting #2: cost 10 inf + 0 31.353 * * [simplify]: Extracting #3: cost 17 inf + 0 31.353 * * [simplify]: Extracting #4: cost 16 inf + 3 31.353 * * [simplify]: Extracting #5: cost 9 inf + 527 31.354 * * [simplify]: Extracting #6: cost 0 inf + 1737 31.354 * [simplify]: Simplified to (exp (+ (/ -1/2 (* N N)) (/ 1 N))) 31.354 * [simplify]: Simplified (2 1 2 1 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (log (exp (+ (/ -1/2 (* N N)) (/ 1 N)))))) (/ -1/3 (* (* N N) N)))) 31.354 * * * * [progress]: [ 85 / 110 ] simplifiying candidate # 31.355 * * * * [progress]: [ 86 / 110 ] simplifiying candidate # 31.355 * * * * [progress]: [ 87 / 110 ] simplifiying candidate # 31.355 * * * * [progress]: [ 88 / 110 ] simplifiying candidate # 31.355 * * * * [progress]: [ 89 / 110 ] simplifiying candidate # 31.355 * * * * [progress]: [ 90 / 110 ] simplifiying candidate # 31.355 * * * * [progress]: [ 91 / 110 ] simplifiying candidate # 31.355 * [simplify]: Simplifying (+ (* -1/2 N) (* (* N N) 1)) 31.355 * * [simplify]: iters left: 6 (7 enodes) 31.360 * * [simplify]: iters left: 5 (26 enodes) 31.370 * * [simplify]: iters left: 4 (38 enodes) 31.380 * * [simplify]: iters left: 3 (44 enodes) 31.392 * * [simplify]: iters left: 2 (47 enodes) 31.403 * * [simplify]: Extracting #0: cost 1 inf + 0 31.403 * * [simplify]: Extracting #1: cost 8 inf + 0 31.404 * * [simplify]: Extracting #2: cost 7 inf + 44 31.404 * * [simplify]: Extracting #3: cost 2 inf + 308 31.404 * * [simplify]: Extracting #4: cost 0 inf + 432 31.405 * * [simplify]: Extracting #5: cost 0 inf + 417 31.405 * [simplify]: Simplified to (* (+ N -1/2) N) 31.405 * [simplify]: Simplified (2 1 2 1 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (/ (* (+ N -1/2) N) (* (* N N) N)))) (/ -1/3 (* (* N N) N)))) 31.405 * [simplify]: Simplifying (* (* N N) N) 31.405 * * [simplify]: iters left: 4 (3 enodes) 31.407 * * [simplify]: iters left: 3 (10 enodes) 31.409 * * [simplify]: iters left: 2 (12 enodes) 31.412 * * [simplify]: iters left: 1 (19 enodes) 31.417 * * [simplify]: Extracting #0: cost 1 inf + 0 31.417 * * [simplify]: Extracting #1: cost 6 inf + 0 31.417 * * [simplify]: Extracting #2: cost 8 inf + 2 31.417 * * [simplify]: Extracting #3: cost 3 inf + 459 31.417 * * [simplify]: Extracting #4: cost 0 inf + 884 31.417 * [simplify]: Simplified to (* N (* N N)) 31.417 * [simplify]: Simplified (2 1 2 1 2) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (/ (* (+ N -1/2) N) (* N (* N N))))) (/ -1/3 (* (* N N) N)))) 31.417 * * * * [progress]: [ 92 / 110 ] simplifiying candidate # 31.417 * * * * [progress]: [ 93 / 110 ] simplifiying candidate # 31.417 * * * * [progress]: [ 94 / 110 ] simplifiying candidate # 31.417 * * * * [progress]: [ 95 / 110 ] simplifiying candidate # 31.418 * [simplify]: Simplifying (+ (/ -1/2 (* N N)) (/ 1 N)) 31.418 * * [simplify]: iters left: 6 (7 enodes) 31.420 * * [simplify]: iters left: 5 (26 enodes) 31.424 * * [simplify]: iters left: 4 (30 enodes) 31.429 * * [simplify]: Extracting #0: cost 1 inf + 0 31.429 * * [simplify]: Extracting #1: cost 4 inf + 0 31.429 * * [simplify]: Extracting #2: cost 11 inf + 0 31.429 * * [simplify]: Extracting #3: cost 7 inf + 128 31.429 * * [simplify]: Extracting #4: cost 2 inf + 417 31.429 * * [simplify]: Extracting #5: cost 1 inf + 580 31.429 * * [simplify]: Extracting #6: cost 0 inf + 743 31.430 * [simplify]: Simplified to (+ (/ -1/2 (* N N)) (/ 1 N)) 31.430 * [simplify]: Simplified (2 1 2 1 2) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (* 1 (+ (/ -1/2 (* N N)) (/ 1 N))))) (/ -1/3 (* (* N N) N)))) 31.430 * * * * [progress]: [ 96 / 110 ] simplifiying candidate # 31.430 * [simplify]: Simplifying (+ (/ -1/2 (* N N)) (/ 1 N)) 31.430 * * [simplify]: iters left: 6 (7 enodes) 31.432 * * [simplify]: iters left: 5 (26 enodes) 31.438 * * [simplify]: iters left: 4 (30 enodes) 31.445 * * [simplify]: Extracting #0: cost 1 inf + 0 31.445 * * [simplify]: Extracting #1: cost 4 inf + 0 31.445 * * [simplify]: Extracting #2: cost 11 inf + 0 31.445 * * [simplify]: Extracting #3: cost 7 inf + 128 31.445 * * [simplify]: Extracting #4: cost 2 inf + 417 31.445 * * [simplify]: Extracting #5: cost 1 inf + 580 31.446 * * [simplify]: Extracting #6: cost 0 inf + 743 31.446 * [simplify]: Simplified to (+ (/ -1/2 (* N N)) (/ 1 N)) 31.446 * [simplify]: Simplified (2 1 2 1 2) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (* 1 (+ (/ -1/2 (* N N)) (/ 1 N))))) (/ -1/3 (* (* N N) N)))) 31.446 * * * * [progress]: [ 97 / 110 ] simplifiying candidate #real (real->posit16 (+ (/ -1/2 (* N N)) (/ 1 N)))))) (/ -1/3 (* (* N N) N))))> 31.447 * * * * [progress]: [ 98 / 110 ] simplifiying candidate # 31.447 * * * * [progress]: [ 99 / 110 ] simplifiying candidate # 31.447 * [simplify]: Simplifying (/ -1/3 (pow N 3)) 31.447 * * [simplify]: iters left: 3 (5 enodes) 31.451 * * [simplify]: iters left: 2 (23 enodes) 31.462 * * [simplify]: iters left: 1 (45 enodes) 31.480 * * [simplify]: Extracting #0: cost 1 inf + 0 31.480 * * [simplify]: Extracting #1: cost 10 inf + 0 31.480 * * [simplify]: Extracting #2: cost 16 inf + 167 31.481 * * [simplify]: Extracting #3: cost 11 inf + 659 31.481 * * [simplify]: Extracting #4: cost 3 inf + 2347 31.482 * * [simplify]: Extracting #5: cost 1 inf + 2601 31.483 * * [simplify]: Extracting #6: cost 0 inf + 2813 31.483 * [simplify]: Simplified to (/ (/ (/ -1/3 N) N) N) 31.483 * [simplify]: Simplified (2 2) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (/ (/ (/ -1/3 N) N) N))) 31.483 * * * * [progress]: [ 100 / 110 ] simplifiying candidate # 31.484 * [simplify]: Simplifying (/ -1/3 (pow N 3)) 31.484 * * [simplify]: iters left: 3 (5 enodes) 31.488 * * [simplify]: iters left: 2 (23 enodes) 31.498 * * [simplify]: iters left: 1 (45 enodes) 31.516 * * [simplify]: Extracting #0: cost 1 inf + 0 31.516 * * [simplify]: Extracting #1: cost 10 inf + 0 31.516 * * [simplify]: Extracting #2: cost 16 inf + 167 31.517 * * [simplify]: Extracting #3: cost 11 inf + 659 31.518 * * [simplify]: Extracting #4: cost 3 inf + 2347 31.518 * * [simplify]: Extracting #5: cost 1 inf + 2601 31.519 * * [simplify]: Extracting #6: cost 0 inf + 2813 31.520 * [simplify]: Simplified to (/ (/ (/ -1/3 N) N) N) 31.520 * [simplify]: Simplified (2 2) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (/ (/ (/ -1/3 N) N) N))) 31.520 * * * * [progress]: [ 101 / 110 ] simplifiying candidate # 31.520 * [simplify]: Simplifying (/ -1/3 (pow N 3)) 31.520 * * [simplify]: iters left: 3 (5 enodes) 31.524 * * [simplify]: iters left: 2 (23 enodes) 31.532 * * [simplify]: iters left: 1 (45 enodes) 31.542 * * [simplify]: Extracting #0: cost 1 inf + 0 31.542 * * [simplify]: Extracting #1: cost 10 inf + 0 31.542 * * [simplify]: Extracting #2: cost 16 inf + 167 31.542 * * [simplify]: Extracting #3: cost 11 inf + 659 31.543 * * [simplify]: Extracting #4: cost 3 inf + 2347 31.543 * * [simplify]: Extracting #5: cost 1 inf + 2601 31.543 * * [simplify]: Extracting #6: cost 0 inf + 2813 31.544 * [simplify]: Simplified to (/ (/ (/ -1/3 N) N) N) 31.544 * [simplify]: Simplified (2 2) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (/ (/ (/ -1/3 N) N) N))) 31.544 * * * * [progress]: [ 102 / 110 ] simplifiying candidate # 31.544 * [simplify]: Simplifying (/ -1/2 (pow N 2)) 31.544 * * [simplify]: iters left: 3 (5 enodes) 31.546 * * [simplify]: iters left: 2 (20 enodes) 31.550 * * [simplify]: iters left: 1 (26 enodes) 31.554 * * [simplify]: Extracting #0: cost 1 inf + 0 31.554 * * [simplify]: Extracting #1: cost 6 inf + 0 31.554 * * [simplify]: Extracting #2: cost 6 inf + 43 31.554 * * [simplify]: Extracting #3: cost 0 inf + 333 31.554 * [simplify]: Simplified to (/ -1/2 (* N N)) 31.554 * [simplify]: Simplified (2 1 2 1 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 31.554 * * * * [progress]: [ 103 / 110 ] simplifiying candidate # 31.555 * [simplify]: Simplifying (/ -1/2 (pow N 2)) 31.555 * * [simplify]: iters left: 3 (5 enodes) 31.557 * * [simplify]: iters left: 2 (20 enodes) 31.562 * * [simplify]: iters left: 1 (26 enodes) 31.566 * * [simplify]: Extracting #0: cost 1 inf + 0 31.567 * * [simplify]: Extracting #1: cost 6 inf + 0 31.567 * * [simplify]: Extracting #2: cost 6 inf + 43 31.567 * * [simplify]: Extracting #3: cost 0 inf + 333 31.567 * [simplify]: Simplified to (/ -1/2 (* N N)) 31.567 * [simplify]: Simplified (2 1 2 1 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 31.568 * * * * [progress]: [ 104 / 110 ] simplifiying candidate # 31.568 * [simplify]: Simplifying (/ -1/2 (pow N 2)) 31.568 * * [simplify]: iters left: 3 (5 enodes) 31.570 * * [simplify]: iters left: 2 (20 enodes) 31.573 * * [simplify]: iters left: 1 (26 enodes) 31.577 * * [simplify]: Extracting #0: cost 1 inf + 0 31.577 * * [simplify]: Extracting #1: cost 6 inf + 0 31.577 * * [simplify]: Extracting #2: cost 6 inf + 43 31.578 * * [simplify]: Extracting #3: cost 0 inf + 333 31.578 * [simplify]: Simplified to (/ -1/2 (* N N)) 31.578 * [simplify]: Simplified (2 1 2 1 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 31.578 * * * * [progress]: [ 105 / 110 ] simplifiying candidate # 31.578 * [simplify]: Simplifying (/ -1/2 (pow N 2)) 31.578 * * [simplify]: iters left: 3 (5 enodes) 31.580 * * [simplify]: iters left: 2 (20 enodes) 31.584 * * [simplify]: iters left: 1 (26 enodes) 31.588 * * [simplify]: Extracting #0: cost 1 inf + 0 31.588 * * [simplify]: Extracting #1: cost 6 inf + 0 31.588 * * [simplify]: Extracting #2: cost 6 inf + 43 31.588 * * [simplify]: Extracting #3: cost 0 inf + 333 31.588 * [simplify]: Simplified to (/ -1/2 (* N N)) 31.588 * [simplify]: Simplified (2 1 1 1 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 31.588 * * * * [progress]: [ 106 / 110 ] simplifiying candidate # 31.588 * [simplify]: Simplifying (/ -1/2 (pow N 2)) 31.588 * * [simplify]: iters left: 3 (5 enodes) 31.590 * * [simplify]: iters left: 2 (20 enodes) 31.594 * * [simplify]: iters left: 1 (26 enodes) 31.598 * * [simplify]: Extracting #0: cost 1 inf + 0 31.598 * * [simplify]: Extracting #1: cost 6 inf + 0 31.598 * * [simplify]: Extracting #2: cost 6 inf + 43 31.598 * * [simplify]: Extracting #3: cost 0 inf + 333 31.598 * [simplify]: Simplified to (/ -1/2 (* N N)) 31.598 * [simplify]: Simplified (2 1 1 1 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 31.598 * * * * [progress]: [ 107 / 110 ] simplifiying candidate # 31.598 * [simplify]: Simplifying (/ -1/2 (pow N 2)) 31.598 * * [simplify]: iters left: 3 (5 enodes) 31.600 * * [simplify]: iters left: 2 (20 enodes) 31.604 * * [simplify]: iters left: 1 (26 enodes) 31.608 * * [simplify]: Extracting #0: cost 1 inf + 0 31.608 * * [simplify]: Extracting #1: cost 6 inf + 0 31.608 * * [simplify]: Extracting #2: cost 6 inf + 43 31.608 * * [simplify]: Extracting #3: cost 0 inf + 333 31.608 * [simplify]: Simplified to (/ -1/2 (* N N)) 31.608 * [simplify]: Simplified (2 1 1 1 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (+ (/ -1/2 (* N N)) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 31.608 * * * * [progress]: [ 108 / 110 ] simplifiying candidate # 31.609 * [simplify]: Simplifying (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 31.609 * * [simplify]: iters left: 6 (9 enodes) 31.612 * * [simplify]: iters left: 5 (38 enodes) 31.620 * * [simplify]: iters left: 4 (55 enodes) 31.630 * * [simplify]: iters left: 3 (70 enodes) 31.648 * * [simplify]: iters left: 2 (82 enodes) 31.671 * * [simplify]: iters left: 1 (87 enodes) 31.690 * * [simplify]: Extracting #0: cost 1 inf + 0 31.690 * * [simplify]: Extracting #1: cost 9 inf + 0 31.690 * * [simplify]: Extracting #2: cost 21 inf + 2 31.690 * * [simplify]: Extracting #3: cost 19 inf + 170 31.690 * * [simplify]: Extracting #4: cost 3 inf + 1216 31.691 * * [simplify]: Extracting #5: cost 0 inf + 1479 31.691 * [simplify]: Simplified to (fma -1/2 (/ (/ 1 N) N) (/ 1 N)) 31.691 * [simplify]: Simplified (2 1 2 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (fma -1/2 (/ (/ 1 N) N) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 31.691 * * * * [progress]: [ 109 / 110 ] simplifiying candidate # 31.692 * [simplify]: Simplifying (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 31.692 * * [simplify]: iters left: 6 (9 enodes) 31.695 * * [simplify]: iters left: 5 (38 enodes) 31.702 * * [simplify]: iters left: 4 (55 enodes) 31.711 * * [simplify]: iters left: 3 (70 enodes) 31.727 * * [simplify]: iters left: 2 (82 enodes) 31.745 * * [simplify]: iters left: 1 (87 enodes) 31.756 * * [simplify]: Extracting #0: cost 1 inf + 0 31.756 * * [simplify]: Extracting #1: cost 9 inf + 0 31.756 * * [simplify]: Extracting #2: cost 21 inf + 2 31.756 * * [simplify]: Extracting #3: cost 19 inf + 170 31.757 * * [simplify]: Extracting #4: cost 3 inf + 1216 31.757 * * [simplify]: Extracting #5: cost 0 inf + 1479 31.758 * [simplify]: Simplified to (fma -1/2 (/ (/ 1 N) N) (/ 1 N)) 31.758 * [simplify]: Simplified (2 1 2 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (fma -1/2 (/ (/ 1 N) N) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 31.758 * * * * [progress]: [ 110 / 110 ] simplifiying candidate # 31.758 * [simplify]: Simplifying (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 31.758 * * [simplify]: iters left: 6 (9 enodes) 31.762 * * [simplify]: iters left: 5 (38 enodes) 31.769 * * [simplify]: iters left: 4 (55 enodes) 31.780 * * [simplify]: iters left: 3 (70 enodes) 31.799 * * [simplify]: iters left: 2 (82 enodes) 31.820 * * [simplify]: iters left: 1 (87 enodes) 31.842 * * [simplify]: Extracting #0: cost 1 inf + 0 31.842 * * [simplify]: Extracting #1: cost 9 inf + 0 31.842 * * [simplify]: Extracting #2: cost 21 inf + 2 31.842 * * [simplify]: Extracting #3: cost 19 inf + 170 31.843 * * [simplify]: Extracting #4: cost 3 inf + 1216 31.844 * * [simplify]: Extracting #5: cost 0 inf + 1479 31.845 * [simplify]: Simplified to (fma -1/2 (/ (/ 1 N) N) (/ 1 N)) 31.845 * [simplify]: Simplified (2 1 2 1) to (λ (N) (- (* (sqrt (+ (/ -1/2 (* N N)) (/ 1 N))) (sqrt (fma -1/2 (/ (/ 1 N) N) (/ 1 N)))) (/ -1/3 (* (* N N) N)))) 31.845 * * * [progress]: adding candidates to table 32.930 * * [progress]: iteration 4 / 4 32.930 * * * [progress]: picking best candidate 32.938 * * * * [pick]: Picked # 32.938 * * * [progress]: localizing error 32.956 * * * [progress]: generating rewritten candidates 32.956 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 32.964 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 32.992 * * * [progress]: generating series expansions 32.992 * * * * [progress]: [ 1 / 2 ] generating series at (2) 32.992 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 32.992 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 32.992 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 32.992 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 32.992 * [taylor]: Taking taylor expansion of (+ N 1) in N 32.992 * [taylor]: Taking taylor expansion of N in N 32.992 * [backup-simplify]: Simplify 0 into 0 32.992 * [backup-simplify]: Simplify 1 into 1 32.992 * [taylor]: Taking taylor expansion of 1 in N 32.992 * [backup-simplify]: Simplify 1 into 1 32.992 * [taylor]: Taking taylor expansion of N in N 32.992 * [backup-simplify]: Simplify 0 into 0 32.992 * [backup-simplify]: Simplify 1 into 1 32.993 * [backup-simplify]: Simplify (+ 0 1) into 1 32.994 * [backup-simplify]: Simplify (/ 1 1) into 1 32.994 * [backup-simplify]: Simplify (log 1) into 0 32.994 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 32.994 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 32.994 * [taylor]: Taking taylor expansion of (+ N 1) in N 32.994 * [taylor]: Taking taylor expansion of N in N 32.994 * [backup-simplify]: Simplify 0 into 0 32.994 * [backup-simplify]: Simplify 1 into 1 32.994 * [taylor]: Taking taylor expansion of 1 in N 32.994 * [backup-simplify]: Simplify 1 into 1 32.994 * [taylor]: Taking taylor expansion of N in N 32.994 * [backup-simplify]: Simplify 0 into 0 32.994 * [backup-simplify]: Simplify 1 into 1 32.995 * [backup-simplify]: Simplify (+ 0 1) into 1 32.995 * [backup-simplify]: Simplify (/ 1 1) into 1 32.996 * [backup-simplify]: Simplify (log 1) into 0 32.997 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 32.997 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 32.997 * [backup-simplify]: Simplify (+ 1 0) into 1 32.998 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 32.999 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 32.999 * [backup-simplify]: Simplify 1 into 1 33.000 * [backup-simplify]: Simplify (+ 0 0) into 0 33.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 33.004 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 33.004 * [backup-simplify]: Simplify -1/2 into -1/2 33.004 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 33.004 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 33.004 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 33.004 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 33.004 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 33.004 * [taylor]: Taking taylor expansion of N in N 33.004 * [backup-simplify]: Simplify 0 into 0 33.004 * [backup-simplify]: Simplify 1 into 1 33.004 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 33.004 * [taylor]: Taking taylor expansion of (/ 1 N) in N 33.004 * [taylor]: Taking taylor expansion of N in N 33.004 * [backup-simplify]: Simplify 0 into 0 33.004 * [backup-simplify]: Simplify 1 into 1 33.005 * [backup-simplify]: Simplify (/ 1 1) into 1 33.005 * [taylor]: Taking taylor expansion of 1 in N 33.005 * [backup-simplify]: Simplify 1 into 1 33.005 * [backup-simplify]: Simplify (+ 1 0) into 1 33.006 * [backup-simplify]: Simplify (* 0 1) into 0 33.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.007 * [backup-simplify]: Simplify (+ 0 1) into 1 33.008 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 33.008 * [backup-simplify]: Simplify (log 1) into 0 33.008 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 33.008 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 33.008 * [taylor]: Taking taylor expansion of N in N 33.008 * [backup-simplify]: Simplify 0 into 0 33.008 * [backup-simplify]: Simplify 1 into 1 33.008 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 33.008 * [taylor]: Taking taylor expansion of (/ 1 N) in N 33.008 * [taylor]: Taking taylor expansion of N in N 33.008 * [backup-simplify]: Simplify 0 into 0 33.008 * [backup-simplify]: Simplify 1 into 1 33.009 * [backup-simplify]: Simplify (/ 1 1) into 1 33.009 * [taylor]: Taking taylor expansion of 1 in N 33.009 * [backup-simplify]: Simplify 1 into 1 33.009 * [backup-simplify]: Simplify (+ 1 0) into 1 33.010 * [backup-simplify]: Simplify (* 0 1) into 0 33.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.011 * [backup-simplify]: Simplify (+ 0 1) into 1 33.012 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 33.012 * [backup-simplify]: Simplify (log 1) into 0 33.012 * [backup-simplify]: Simplify 0 into 0 33.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.014 * [backup-simplify]: Simplify (+ 0 0) into 0 33.014 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 33.016 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 33.016 * [backup-simplify]: Simplify 1 into 1 33.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.017 * [backup-simplify]: Simplify (+ 0 0) into 0 33.018 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 33.021 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 33.021 * [backup-simplify]: Simplify -1/2 into -1/2 33.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.023 * [backup-simplify]: Simplify (+ 0 0) into 0 33.024 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 33.029 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 33.029 * [backup-simplify]: Simplify 1/3 into 1/3 33.030 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 33.030 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 33.030 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 33.030 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 33.030 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 33.030 * [taylor]: Taking taylor expansion of -1 in N 33.030 * [backup-simplify]: Simplify -1 into -1 33.030 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 33.030 * [taylor]: Taking taylor expansion of N in N 33.030 * [backup-simplify]: Simplify 0 into 0 33.030 * [backup-simplify]: Simplify 1 into 1 33.030 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 33.030 * [taylor]: Taking taylor expansion of 1 in N 33.030 * [backup-simplify]: Simplify 1 into 1 33.030 * [taylor]: Taking taylor expansion of (/ 1 N) in N 33.030 * [taylor]: Taking taylor expansion of N in N 33.030 * [backup-simplify]: Simplify 0 into 0 33.030 * [backup-simplify]: Simplify 1 into 1 33.031 * [backup-simplify]: Simplify (/ 1 1) into 1 33.037 * [backup-simplify]: Simplify (- 1) into -1 33.037 * [backup-simplify]: Simplify (+ 0 -1) into -1 33.038 * [backup-simplify]: Simplify (* 0 -1) into 0 33.038 * [backup-simplify]: Simplify (* -1 0) into 0 33.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.040 * [backup-simplify]: Simplify (- 0) into 0 33.040 * [backup-simplify]: Simplify (+ 1 0) into 1 33.041 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 33.041 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 33.042 * [backup-simplify]: Simplify (log 1) into 0 33.042 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 33.042 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 33.042 * [taylor]: Taking taylor expansion of -1 in N 33.042 * [backup-simplify]: Simplify -1 into -1 33.042 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 33.042 * [taylor]: Taking taylor expansion of N in N 33.042 * [backup-simplify]: Simplify 0 into 0 33.042 * [backup-simplify]: Simplify 1 into 1 33.042 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 33.042 * [taylor]: Taking taylor expansion of 1 in N 33.042 * [backup-simplify]: Simplify 1 into 1 33.042 * [taylor]: Taking taylor expansion of (/ 1 N) in N 33.042 * [taylor]: Taking taylor expansion of N in N 33.042 * [backup-simplify]: Simplify 0 into 0 33.042 * [backup-simplify]: Simplify 1 into 1 33.043 * [backup-simplify]: Simplify (/ 1 1) into 1 33.043 * [backup-simplify]: Simplify (- 1) into -1 33.044 * [backup-simplify]: Simplify (+ 0 -1) into -1 33.044 * [backup-simplify]: Simplify (* 0 -1) into 0 33.045 * [backup-simplify]: Simplify (* -1 0) into 0 33.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.046 * [backup-simplify]: Simplify (- 0) into 0 33.046 * [backup-simplify]: Simplify (+ 1 0) into 1 33.047 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 33.048 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 33.048 * [backup-simplify]: Simplify (log 1) into 0 33.048 * [backup-simplify]: Simplify 0 into 0 33.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.050 * [backup-simplify]: Simplify (- 0) into 0 33.050 * [backup-simplify]: Simplify (+ 0 0) into 0 33.051 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 33.052 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 33.053 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 33.054 * [backup-simplify]: Simplify -1 into -1 33.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.055 * [backup-simplify]: Simplify (- 0) into 0 33.055 * [backup-simplify]: Simplify (+ 0 0) into 0 33.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 33.058 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 33.061 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 33.061 * [backup-simplify]: Simplify -1/2 into -1/2 33.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.063 * [backup-simplify]: Simplify (- 0) into 0 33.063 * [backup-simplify]: Simplify (+ 0 0) into 0 33.064 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 33.066 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 33.071 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 33.071 * [backup-simplify]: Simplify -1/3 into -1/3 33.072 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 33.072 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 33.072 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 33.072 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 33.072 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 33.072 * [taylor]: Taking taylor expansion of (+ N 1) in N 33.072 * [taylor]: Taking taylor expansion of N in N 33.072 * [backup-simplify]: Simplify 0 into 0 33.072 * [backup-simplify]: Simplify 1 into 1 33.072 * [taylor]: Taking taylor expansion of 1 in N 33.072 * [backup-simplify]: Simplify 1 into 1 33.072 * [taylor]: Taking taylor expansion of N in N 33.072 * [backup-simplify]: Simplify 0 into 0 33.073 * [backup-simplify]: Simplify 1 into 1 33.073 * [backup-simplify]: Simplify (+ 0 1) into 1 33.073 * [backup-simplify]: Simplify (/ 1 1) into 1 33.074 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 33.074 * [taylor]: Taking taylor expansion of (+ N 1) in N 33.074 * [taylor]: Taking taylor expansion of N in N 33.074 * [backup-simplify]: Simplify 0 into 0 33.074 * [backup-simplify]: Simplify 1 into 1 33.074 * [taylor]: Taking taylor expansion of 1 in N 33.074 * [backup-simplify]: Simplify 1 into 1 33.074 * [taylor]: Taking taylor expansion of N in N 33.074 * [backup-simplify]: Simplify 0 into 0 33.074 * [backup-simplify]: Simplify 1 into 1 33.074 * [backup-simplify]: Simplify (+ 0 1) into 1 33.075 * [backup-simplify]: Simplify (/ 1 1) into 1 33.075 * [backup-simplify]: Simplify 1 into 1 33.075 * [backup-simplify]: Simplify (+ 1 0) into 1 33.076 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 33.076 * [backup-simplify]: Simplify 1 into 1 33.077 * [backup-simplify]: Simplify (+ 0 0) into 0 33.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 33.077 * [backup-simplify]: Simplify 0 into 0 33.078 * [backup-simplify]: Simplify (+ 0 0) into 0 33.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.079 * [backup-simplify]: Simplify 0 into 0 33.079 * [backup-simplify]: Simplify (+ 0 0) into 0 33.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.080 * [backup-simplify]: Simplify 0 into 0 33.081 * [backup-simplify]: Simplify (+ 0 0) into 0 33.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.082 * [backup-simplify]: Simplify 0 into 0 33.082 * [backup-simplify]: Simplify (+ 0 0) into 0 33.083 * [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 33.083 * [backup-simplify]: Simplify 0 into 0 33.084 * [backup-simplify]: Simplify (+ 0 0) into 0 33.085 * [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 33.085 * [backup-simplify]: Simplify 0 into 0 33.085 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 33.085 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 33.085 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 33.085 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 33.085 * [taylor]: Taking taylor expansion of N in N 33.085 * [backup-simplify]: Simplify 0 into 0 33.085 * [backup-simplify]: Simplify 1 into 1 33.085 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 33.085 * [taylor]: Taking taylor expansion of (/ 1 N) in N 33.085 * [taylor]: Taking taylor expansion of N in N 33.085 * [backup-simplify]: Simplify 0 into 0 33.085 * [backup-simplify]: Simplify 1 into 1 33.086 * [backup-simplify]: Simplify (/ 1 1) into 1 33.086 * [taylor]: Taking taylor expansion of 1 in N 33.086 * [backup-simplify]: Simplify 1 into 1 33.086 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 33.086 * [taylor]: Taking taylor expansion of N in N 33.086 * [backup-simplify]: Simplify 0 into 0 33.086 * [backup-simplify]: Simplify 1 into 1 33.086 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 33.086 * [taylor]: Taking taylor expansion of (/ 1 N) in N 33.086 * [taylor]: Taking taylor expansion of N in N 33.086 * [backup-simplify]: Simplify 0 into 0 33.086 * [backup-simplify]: Simplify 1 into 1 33.086 * [backup-simplify]: Simplify (/ 1 1) into 1 33.086 * [taylor]: Taking taylor expansion of 1 in N 33.086 * [backup-simplify]: Simplify 1 into 1 33.087 * [backup-simplify]: Simplify (+ 1 0) into 1 33.087 * [backup-simplify]: Simplify (* 0 1) into 0 33.087 * [backup-simplify]: Simplify 0 into 0 33.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.089 * [backup-simplify]: Simplify (+ 0 1) into 1 33.089 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 33.089 * [backup-simplify]: Simplify 1 into 1 33.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.091 * [backup-simplify]: Simplify (+ 0 0) into 0 33.092 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 33.092 * [backup-simplify]: Simplify 1 into 1 33.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.093 * [backup-simplify]: Simplify (+ 0 0) into 0 33.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 33.094 * [backup-simplify]: Simplify 0 into 0 33.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.095 * [backup-simplify]: Simplify (+ 0 0) into 0 33.097 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 33.097 * [backup-simplify]: Simplify 0 into 0 33.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.098 * [backup-simplify]: Simplify (+ 0 0) into 0 33.100 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 33.100 * [backup-simplify]: Simplify 0 into 0 33.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.101 * [backup-simplify]: Simplify (+ 0 0) into 0 33.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 33.103 * [backup-simplify]: Simplify 0 into 0 33.104 * [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 33.104 * [backup-simplify]: Simplify (+ 0 0) into 0 33.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 33.106 * [backup-simplify]: Simplify 0 into 0 33.107 * [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 33.107 * [backup-simplify]: Simplify (+ 0 0) into 0 33.109 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 33.109 * [backup-simplify]: Simplify 0 into 0 33.109 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 33.109 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 33.109 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 33.109 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 33.109 * [taylor]: Taking taylor expansion of -1 in N 33.109 * [backup-simplify]: Simplify -1 into -1 33.110 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 33.110 * [taylor]: Taking taylor expansion of N in N 33.110 * [backup-simplify]: Simplify 0 into 0 33.110 * [backup-simplify]: Simplify 1 into 1 33.110 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 33.110 * [taylor]: Taking taylor expansion of 1 in N 33.110 * [backup-simplify]: Simplify 1 into 1 33.110 * [taylor]: Taking taylor expansion of (/ 1 N) in N 33.110 * [taylor]: Taking taylor expansion of N in N 33.110 * [backup-simplify]: Simplify 0 into 0 33.110 * [backup-simplify]: Simplify 1 into 1 33.110 * [backup-simplify]: Simplify (/ 1 1) into 1 33.110 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 33.110 * [taylor]: Taking taylor expansion of -1 in N 33.110 * [backup-simplify]: Simplify -1 into -1 33.110 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 33.110 * [taylor]: Taking taylor expansion of N in N 33.110 * [backup-simplify]: Simplify 0 into 0 33.110 * [backup-simplify]: Simplify 1 into 1 33.110 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 33.110 * [taylor]: Taking taylor expansion of 1 in N 33.110 * [backup-simplify]: Simplify 1 into 1 33.110 * [taylor]: Taking taylor expansion of (/ 1 N) in N 33.110 * [taylor]: Taking taylor expansion of N in N 33.111 * [backup-simplify]: Simplify 0 into 0 33.111 * [backup-simplify]: Simplify 1 into 1 33.111 * [backup-simplify]: Simplify (/ 1 1) into 1 33.111 * [backup-simplify]: Simplify (- 1) into -1 33.112 * [backup-simplify]: Simplify (+ 0 -1) into -1 33.112 * [backup-simplify]: Simplify (* 0 -1) into 0 33.113 * [backup-simplify]: Simplify (* -1 0) into 0 33.113 * [backup-simplify]: Simplify 0 into 0 33.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 33.114 * [backup-simplify]: Simplify (- 0) into 0 33.114 * [backup-simplify]: Simplify (+ 1 0) into 1 33.115 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 33.116 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 33.116 * [backup-simplify]: Simplify 1 into 1 33.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.117 * [backup-simplify]: Simplify (- 0) into 0 33.118 * [backup-simplify]: Simplify (+ 0 0) into 0 33.119 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 33.120 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 33.120 * [backup-simplify]: Simplify -1 into -1 33.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.121 * [backup-simplify]: Simplify (- 0) into 0 33.121 * [backup-simplify]: Simplify (+ 0 0) into 0 33.123 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 33.124 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 33.124 * [backup-simplify]: Simplify 0 into 0 33.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.125 * [backup-simplify]: Simplify (- 0) into 0 33.126 * [backup-simplify]: Simplify (+ 0 0) into 0 33.127 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 33.129 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 33.129 * [backup-simplify]: Simplify 0 into 0 33.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.130 * [backup-simplify]: Simplify (- 0) into 0 33.131 * [backup-simplify]: Simplify (+ 0 0) into 0 33.133 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 33.134 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 33.134 * [backup-simplify]: Simplify 0 into 0 33.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 33.136 * [backup-simplify]: Simplify (- 0) into 0 33.136 * [backup-simplify]: Simplify (+ 0 0) into 0 33.138 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 33.140 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 33.140 * [backup-simplify]: Simplify 0 into 0 33.141 * [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 33.142 * [backup-simplify]: Simplify (- 0) into 0 33.142 * [backup-simplify]: Simplify (+ 0 0) into 0 33.144 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 33.146 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 33.146 * [backup-simplify]: Simplify 0 into 0 33.147 * [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 33.148 * [backup-simplify]: Simplify (- 0) into 0 33.148 * [backup-simplify]: Simplify (+ 0 0) into 0 33.150 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 33.153 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 33.153 * [backup-simplify]: Simplify 0 into 0 33.153 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 33.153 * * * [progress]: simplifying candidates 33.153 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 33.153 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 33.153 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 33.153 * [simplify]: Simplifying (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) 33.154 * * [simplify]: iters left: 6 (7 enodes) 33.157 * * [simplify]: iters left: 5 (26 enodes) 33.165 * * [simplify]: iters left: 4 (30 enodes) 33.175 * * [simplify]: Extracting #0: cost 1 inf + 0 33.175 * * [simplify]: Extracting #1: cost 4 inf + 0 33.175 * * [simplify]: Extracting #2: cost 7 inf + 0 33.175 * * [simplify]: Extracting #3: cost 9 inf + 0 33.175 * * [simplify]: Extracting #4: cost 12 inf + 0 33.175 * * [simplify]: Extracting #5: cost 13 inf + 1 33.175 * * [simplify]: Extracting #6: cost 12 inf + 2 33.175 * * [simplify]: Extracting #7: cost 8 inf + 250 33.176 * * [simplify]: Extracting #8: cost 4 inf + 1078 33.176 * * [simplify]: Extracting #9: cost 1 inf + 1714 33.177 * * [simplify]: Extracting #10: cost 0 inf + 1986 33.177 * [simplify]: Simplified to (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) 33.178 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ 1 N) N))))) 33.178 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 33.178 * [simplify]: Simplifying (log (sqrt (/ (+ 1 N) N))) 33.178 * * [simplify]: iters left: 6 (6 enodes) 33.181 * * [simplify]: iters left: 5 (21 enodes) 33.194 * * [simplify]: iters left: 4 (23 enodes) 33.201 * * [simplify]: Extracting #0: cost 1 inf + 0 33.201 * * [simplify]: Extracting #1: cost 3 inf + 0 33.201 * * [simplify]: Extracting #2: cost 5 inf + 0 33.202 * * [simplify]: Extracting #3: cost 8 inf + 0 33.202 * * [simplify]: Extracting #4: cost 9 inf + 1 33.202 * * [simplify]: Extracting #5: cost 8 inf + 2 33.202 * * [simplify]: Extracting #6: cost 0 inf + 878 33.202 * [simplify]: Simplified to (log (sqrt (/ (+ N 1) N))) 33.202 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ 1 N) N))))) 33.202 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 33.203 * [simplify]: Simplifying (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N)))) 33.203 * * [simplify]: iters left: 6 (9 enodes) 33.208 * * [simplify]: iters left: 5 (39 enodes) 33.221 * * [simplify]: iters left: 4 (72 enodes) 33.244 * * [simplify]: iters left: 3 (110 enodes) 33.276 * * [simplify]: iters left: 2 (143 enodes) 33.298 * * [simplify]: iters left: 1 (186 enodes) 33.351 * * [simplify]: Extracting #0: cost 1 inf + 0 33.352 * * [simplify]: Extracting #1: cost 20 inf + 0 33.352 * * [simplify]: Extracting #2: cost 44 inf + 0 33.352 * * [simplify]: Extracting #3: cost 55 inf + 0 33.353 * * [simplify]: Extracting #4: cost 56 inf + 1 33.353 * * [simplify]: Extracting #5: cost 47 inf + 1170 33.355 * * [simplify]: Extracting #6: cost 20 inf + 7579 33.359 * * [simplify]: Extracting #7: cost 4 inf + 12291 33.364 * * [simplify]: Extracting #8: cost 0 inf + 13689 33.369 * [simplify]: Simplified to (log (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (cbrt N)))) 33.369 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))))) 33.369 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 33.369 * [simplify]: Simplifying (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))) 33.369 * * [simplify]: iters left: 6 (8 enodes) 33.374 * * [simplify]: iters left: 5 (32 enodes) 33.384 * * [simplify]: iters left: 4 (48 enodes) 33.399 * * [simplify]: iters left: 3 (65 enodes) 33.419 * * [simplify]: iters left: 2 (74 enodes) 33.439 * * [simplify]: iters left: 1 (83 enodes) 33.464 * * [simplify]: Extracting #0: cost 1 inf + 0 33.465 * * [simplify]: Extracting #1: cost 11 inf + 0 33.465 * * [simplify]: Extracting #2: cost 24 inf + 0 33.465 * * [simplify]: Extracting #3: cost 31 inf + 0 33.465 * * [simplify]: Extracting #4: cost 30 inf + 153 33.465 * * [simplify]: Extracting #5: cost 25 inf + 608 33.466 * * [simplify]: Extracting #6: cost 16 inf + 1996 33.467 * * [simplify]: Extracting #7: cost 3 inf + 5022 33.469 * * [simplify]: Extracting #8: cost 0 inf + 5848 33.471 * [simplify]: Simplified to (log (* (cbrt (+ N 1)) (/ (cbrt (+ N 1)) (sqrt N)))) 33.471 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (+ N 1)) (/ (cbrt (+ N 1)) (sqrt N)))) (log (/ (cbrt (+ 1 N)) (sqrt N))))) 33.471 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 33.471 * [simplify]: Simplifying (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1)) 33.472 * * [simplify]: iters left: 6 (7 enodes) 33.476 * * [simplify]: iters left: 5 (27 enodes) 33.485 * * [simplify]: iters left: 4 (41 enodes) 33.496 * * [simplify]: iters left: 3 (52 enodes) 33.511 * * [simplify]: iters left: 2 (61 enodes) 33.527 * * [simplify]: iters left: 1 (68 enodes) 33.540 * * [simplify]: Extracting #0: cost 1 inf + 0 33.541 * * [simplify]: Extracting #1: cost 7 inf + 0 33.541 * * [simplify]: Extracting #2: cost 12 inf + 1 33.541 * * [simplify]: Extracting #3: cost 14 inf + 2 33.541 * * [simplify]: Extracting #4: cost 16 inf + 2 33.541 * * [simplify]: Extracting #5: cost 15 inf + 3 33.541 * * [simplify]: Extracting #6: cost 11 inf + 371 33.541 * * [simplify]: Extracting #7: cost 2 inf + 2059 33.542 * * [simplify]: Extracting #8: cost 0 inf + 2563 33.542 * [simplify]: Simplified to (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) 33.542 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (/ (cbrt (+ 1 N)) N)))) 33.542 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 33.542 * [simplify]: Simplifying (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) 33.543 * * [simplify]: iters left: 6 (8 enodes) 33.545 * * [simplify]: iters left: 5 (32 enodes) 33.550 * * [simplify]: iters left: 4 (46 enodes) 33.557 * * [simplify]: iters left: 3 (56 enodes) 33.567 * * [simplify]: iters left: 2 (64 enodes) 33.585 * * [simplify]: iters left: 1 (72 enodes) 33.607 * * [simplify]: Extracting #0: cost 1 inf + 0 33.607 * * [simplify]: Extracting #1: cost 13 inf + 0 33.607 * * [simplify]: Extracting #2: cost 28 inf + 0 33.607 * * [simplify]: Extracting #3: cost 34 inf + 0 33.607 * * [simplify]: Extracting #4: cost 35 inf + 1 33.608 * * [simplify]: Extracting #5: cost 29 inf + 627 33.608 * * [simplify]: Extracting #6: cost 18 inf + 2114 33.610 * * [simplify]: Extracting #7: cost 2 inf + 6210 33.611 * * [simplify]: Extracting #8: cost 0 inf + 6764 33.613 * [simplify]: Simplified to (log (/ (/ (sqrt (+ N 1)) (cbrt N)) (cbrt N))) 33.613 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (/ (/ (sqrt (+ N 1)) (cbrt N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (cbrt N))))) 33.614 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 33.614 * [simplify]: Simplifying (log (/ (sqrt (+ 1 N)) (sqrt N))) 33.614 * * [simplify]: iters left: 6 (7 enodes) 33.618 * * [simplify]: iters left: 5 (27 enodes) 33.626 * * [simplify]: iters left: 4 (35 enodes) 33.637 * * [simplify]: iters left: 3 (38 enodes) 33.648 * * [simplify]: Extracting #0: cost 1 inf + 0 33.648 * * [simplify]: Extracting #1: cost 6 inf + 0 33.648 * * [simplify]: Extracting #2: cost 12 inf + 0 33.648 * * [simplify]: Extracting #3: cost 16 inf + 0 33.648 * * [simplify]: Extracting #4: cost 17 inf + 1 33.648 * * [simplify]: Extracting #5: cost 10 inf + 608 33.649 * * [simplify]: Extracting #6: cost 7 inf + 774 33.649 * * [simplify]: Extracting #7: cost 4 inf + 1170 33.650 * * [simplify]: Extracting #8: cost 0 inf + 1948 33.650 * [simplify]: Simplified to (log (/ (sqrt (+ N 1)) (sqrt N))) 33.651 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))))) 33.651 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 33.651 * [simplify]: Simplifying (log (/ (sqrt (+ 1 N)) 1)) 33.651 * * [simplify]: iters left: 6 (6 enodes) 33.655 * * [simplify]: iters left: 5 (22 enodes) 33.661 * * [simplify]: iters left: 4 (26 enodes) 33.668 * * [simplify]: Extracting #0: cost 1 inf + 0 33.669 * * [simplify]: Extracting #1: cost 4 inf + 0 33.669 * * [simplify]: Extracting #2: cost 6 inf + 1 33.669 * * [simplify]: Extracting #3: cost 7 inf + 2 33.669 * * [simplify]: Extracting #4: cost 6 inf + 3 33.669 * * [simplify]: Extracting #5: cost 1 inf + 403 33.669 * * [simplify]: Extracting #6: cost 0 inf + 555 33.669 * [simplify]: Simplified to (log (sqrt (+ N 1))) 33.670 * [simplify]: Simplified (2 1) to (λ (N) (+ (log (sqrt (+ N 1))) (log (/ (sqrt (+ 1 N)) N)))) 33.670 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 33.670 * [simplify]: Simplifying (log (/ 1 (* (cbrt N) (cbrt N)))) 33.670 * * [simplify]: iters left: 6 (6 enodes) 33.674 * * [simplify]: iters left: 5 (26 enodes) 33.682 * * [simplify]: iters left: 4 (36 enodes) 33.693 * * [simplify]: iters left: 3 (43 enodes) 33.705 * * [simplify]: iters left: 2 (49 enodes) 33.713 * * [simplify]: iters left: 1 (64 enodes) 33.722 * * [simplify]: Extracting #0: cost 1 inf + 0 33.722 * * [simplify]: Extracting #1: cost 7 inf + 0 33.722 * * [simplify]: Extracting #2: cost 14 inf + 1 33.722 * * [simplify]: Extracting #3: cost 17 inf + 2 33.722 * * [simplify]: Extracting #4: cost 16 inf + 3 33.723 * * [simplify]: Extracting #5: cost 8 inf + 1092 33.723 * * [simplify]: Extracting #6: cost 0 inf + 2503 33.723 * [simplify]: Simplified to (+ (- (log (cbrt N))) (- (log (cbrt N)))) 33.723 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (- (log (cbrt N))) (- (log (cbrt N)))) (log (/ (+ 1 N) (cbrt N))))) 33.723 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 33.724 * [simplify]: Simplifying (log (/ 1 (sqrt N))) 33.724 * * [simplify]: iters left: 4 (5 enodes) 33.725 * * [simplify]: iters left: 3 (21 enodes) 33.731 * * [simplify]: iters left: 2 (25 enodes) 33.734 * * [simplify]: Extracting #0: cost 1 inf + 0 33.734 * * [simplify]: Extracting #1: cost 5 inf + 0 33.734 * * [simplify]: Extracting #2: cost 8 inf + 1 33.734 * * [simplify]: Extracting #3: cost 9 inf + 2 33.735 * * [simplify]: Extracting #4: cost 8 inf + 3 33.735 * * [simplify]: Extracting #5: cost 2 inf + 512 33.735 * * [simplify]: Extracting #6: cost 0 inf + 774 33.735 * * [simplify]: Extracting #7: cost 0 inf + 773 33.735 * [simplify]: Simplified to (- (log (sqrt N))) 33.735 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))))) 33.735 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 33.735 * [simplify]: Simplifying (log (/ 1 1)) 33.735 * * [simplify]: iters left: 3 (3 enodes) 33.738 * * [simplify]: iters left: 2 (12 enodes) 33.741 * * [simplify]: Extracting #0: cost 1 inf + 0 33.741 * * [simplify]: Extracting #1: cost 0 inf + 1 33.741 * [simplify]: Simplified to 0 33.741 * [simplify]: Simplified (2 1) to (λ (N) (+ 0 (log (/ (+ 1 N) N)))) 33.741 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 33.741 * [simplify]: Simplifying (log (/ 1 (* (cbrt N) (cbrt N)))) 33.741 * * [simplify]: iters left: 6 (6 enodes) 33.745 * * [simplify]: iters left: 5 (26 enodes) 33.751 * * [simplify]: iters left: 4 (36 enodes) 33.756 * * [simplify]: iters left: 3 (43 enodes) 33.763 * * [simplify]: iters left: 2 (49 enodes) 33.771 * * [simplify]: iters left: 1 (64 enodes) 33.780 * * [simplify]: Extracting #0: cost 1 inf + 0 33.780 * * [simplify]: Extracting #1: cost 7 inf + 0 33.780 * * [simplify]: Extracting #2: cost 14 inf + 1 33.780 * * [simplify]: Extracting #3: cost 17 inf + 2 33.781 * * [simplify]: Extracting #4: cost 16 inf + 3 33.781 * * [simplify]: Extracting #5: cost 8 inf + 1092 33.782 * * [simplify]: Extracting #6: cost 0 inf + 2503 33.782 * [simplify]: Simplified to (+ (- (log (cbrt N))) (- (log (cbrt N)))) 33.782 * [simplify]: Simplified (2 1) to (λ (N) (+ (+ (- (log (cbrt N))) (- (log (cbrt N)))) (log (/ (+ 1 N) (cbrt N))))) 33.783 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 33.783 * [simplify]: Simplifying (log (/ 1 (sqrt N))) 33.783 * * [simplify]: iters left: 4 (5 enodes) 33.786 * * [simplify]: iters left: 3 (21 enodes) 33.792 * * [simplify]: iters left: 2 (25 enodes) 33.799 * * [simplify]: Extracting #0: cost 1 inf + 0 33.799 * * [simplify]: Extracting #1: cost 5 inf + 0 33.800 * * [simplify]: Extracting #2: cost 8 inf + 1 33.800 * * [simplify]: Extracting #3: cost 9 inf + 2 33.800 * * [simplify]: Extracting #4: cost 8 inf + 3 33.800 * * [simplify]: Extracting #5: cost 2 inf + 512 33.800 * * [simplify]: Extracting #6: cost 0 inf + 774 33.800 * * [simplify]: Extracting #7: cost 0 inf + 773 33.801 * [simplify]: Simplified to (- (log (sqrt N))) 33.801 * [simplify]: Simplified (2 1) to (λ (N) (+ (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))))) 33.801 * * * * [progress]: [ 16 / 72 ] simplifiying candidate # 33.801 * [simplify]: Simplifying (log (/ 1 1)) 33.801 * * [simplify]: iters left: 3 (3 enodes) 33.805 * * [simplify]: iters left: 2 (12 enodes) 33.808 * * [simplify]: Extracting #0: cost 1 inf + 0 33.808 * * [simplify]: Extracting #1: cost 0 inf + 1 33.808 * [simplify]: Simplified to 0 33.808 * [simplify]: Simplified (2 1) to (λ (N) (+ 0 (log (/ (+ 1 N) N)))) 33.808 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 33.808 * [simplify]: Simplifying (log 1) 33.808 * * [simplify]: iters left: 1 (2 enodes) 33.810 * * [simplify]: Extracting #0: cost 1 inf + 0 33.810 * * [simplify]: Extracting #1: cost 0 inf + 1 33.810 * [simplify]: Simplified to 0 33.810 * [simplify]: Simplified (2 1) to (λ (N) (+ 0 (log (/ (+ 1 N) N)))) 33.810 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 33.810 * [simplify]: Simplifying (log (+ 1 N)) 33.810 * * [simplify]: iters left: 3 (4 enodes) 33.811 * * [simplify]: iters left: 2 (16 enodes) 33.814 * * [simplify]: iters left: 1 (18 enodes) 33.817 * * [simplify]: Extracting #0: cost 1 inf + 0 33.817 * * [simplify]: Extracting #1: cost 4 inf + 0 33.817 * * [simplify]: Extracting #2: cost 3 inf + 183 33.817 * * [simplify]: Extracting #3: cost 2 inf + 184 33.817 * * [simplify]: Extracting #4: cost 0 inf + 268 33.817 * [simplify]: Simplified to (log1p N) 33.817 * [simplify]: Simplified (2 1) to (λ (N) (+ (log1p N) (log (/ 1 N)))) 33.817 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 33.817 * [simplify]: Simplifying (log (+ 1 N)) 33.817 * * [simplify]: iters left: 3 (4 enodes) 33.818 * * [simplify]: iters left: 2 (16 enodes) 33.821 * * [simplify]: iters left: 1 (18 enodes) 33.823 * * [simplify]: Extracting #0: cost 1 inf + 0 33.823 * * [simplify]: Extracting #1: cost 4 inf + 0 33.824 * * [simplify]: Extracting #2: cost 3 inf + 183 33.824 * * [simplify]: Extracting #3: cost 2 inf + 184 33.824 * * [simplify]: Extracting #4: cost 0 inf + 268 33.824 * [simplify]: Simplified to (log1p N) 33.824 * [simplify]: Simplified (2 1) to (λ (N) (- (log1p N) (log N))) 33.824 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 33.824 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 33.824 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 33.824 * [simplify]: Simplifying (log (+ 1 N)) 33.824 * * [simplify]: iters left: 3 (4 enodes) 33.825 * * [simplify]: iters left: 2 (16 enodes) 33.828 * * [simplify]: iters left: 1 (18 enodes) 33.831 * * [simplify]: Extracting #0: cost 1 inf + 0 33.831 * * [simplify]: Extracting #1: cost 4 inf + 0 33.831 * * [simplify]: Extracting #2: cost 3 inf + 183 33.831 * * [simplify]: Extracting #3: cost 2 inf + 184 33.831 * * [simplify]: Extracting #4: cost 0 inf + 268 33.831 * [simplify]: Simplified to (log1p N) 33.831 * [simplify]: Simplified (2 1) to (λ (N) (- (log1p N) (log N))) 33.831 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 33.831 * [simplify]: Simplifying (/ (+ 1 N) N) 33.831 * * [simplify]: iters left: 4 (4 enodes) 33.834 * * [simplify]: iters left: 3 (15 enodes) 33.837 * * [simplify]: iters left: 2 (17 enodes) 33.840 * * [simplify]: Extracting #0: cost 1 inf + 0 33.840 * * [simplify]: Extracting #1: cost 4 inf + 0 33.840 * * [simplify]: Extracting #2: cost 5 inf + 1 33.840 * * [simplify]: Extracting #3: cost 2 inf + 86 33.840 * * [simplify]: Extracting #4: cost 1 inf + 168 33.840 * * [simplify]: Extracting #5: cost 0 inf + 250 33.840 * [simplify]: Simplified to (/ (+ N 1) N) 33.840 * [simplify]: Simplified (2 1) to (λ (N) (log (/ (+ N 1) N))) 33.840 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 33.840 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 33.840 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 33.840 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 33.840 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 33.841 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 33.841 * * * * [progress]: [ 30 / 72 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))> 33.841 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 33.841 * * * * [progress]: [ 32 / 72 ] simplifiying candidate # 33.841 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 33.841 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 33.841 * [simplify]: Simplifying (- (log (+ 1 N)) (log N)) 33.841 * * [simplify]: iters left: 5 (6 enodes) 33.844 * * [simplify]: iters left: 4 (24 enodes) 33.852 * * [simplify]: iters left: 3 (29 enodes) 33.860 * * [simplify]: Extracting #0: cost 1 inf + 0 33.860 * * [simplify]: Extracting #1: cost 5 inf + 0 33.860 * * [simplify]: Extracting #2: cost 10 inf + 0 33.860 * * [simplify]: Extracting #3: cost 6 inf + 476 33.861 * * [simplify]: Extracting #4: cost 3 inf + 749 33.861 * * [simplify]: Extracting #5: cost 0 inf + 1034 33.862 * [simplify]: Simplified to (- (log1p N) (log N)) 33.862 * [simplify]: Simplified (2 1 1) to (λ (N) (log (exp (- (log1p N) (log N))))) 33.862 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 33.862 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 33.862 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 33.862 * [simplify]: Simplifying (/ (* (* (+ 1 N) (+ 1 N)) (+ 1 N)) (* (* N N) N)) 33.863 * * [simplify]: iters left: 6 (8 enodes) 33.868 * * [simplify]: iters left: 5 (48 enodes) 33.890 * * [simplify]: iters left: 4 (125 enodes) 33.941 * * [simplify]: iters left: 3 (329 enodes) 34.172 * * [simplify]: Extracting #0: cost 1 inf + 0 34.172 * * [simplify]: Extracting #1: cost 40 inf + 0 34.173 * * [simplify]: Extracting #2: cost 121 inf + 126 34.176 * * [simplify]: Extracting #3: cost 126 inf + 4112 34.188 * * [simplify]: Extracting #4: cost 11 inf + 22446 34.204 * * [simplify]: Extracting #5: cost 0 inf + 24773 34.211 * * [simplify]: Extracting #6: cost 0 inf + 24733 34.219 * [simplify]: Simplified to (* (/ (+ N 1) N) (* (/ (+ N 1) N) (/ (+ N 1) N))) 34.219 * [simplify]: Simplified (2 1 1) to (λ (N) (log (cbrt (* (/ (+ N 1) N) (* (/ (+ N 1) N) (/ (+ N 1) N)))))) 34.219 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 34.219 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 34.219 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 34.219 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 34.219 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 34.219 * [simplify]: Simplifying (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N))) 34.219 * * [simplify]: iters left: 6 (8 enodes) 34.222 * * [simplify]: iters left: 5 (33 enodes) 34.229 * * [simplify]: iters left: 4 (50 enodes) 34.245 * * [simplify]: iters left: 3 (57 enodes) 34.261 * * [simplify]: iters left: 2 (60 enodes) 34.277 * * [simplify]: Extracting #0: cost 1 inf + 0 34.277 * * [simplify]: Extracting #1: cost 11 inf + 0 34.278 * * [simplify]: Extracting #2: cost 22 inf + 0 34.278 * * [simplify]: Extracting #3: cost 21 inf + 163 34.278 * * [simplify]: Extracting #4: cost 18 inf + 406 34.278 * * [simplify]: Extracting #5: cost 10 inf + 1662 34.279 * * [simplify]: Extracting #6: cost 2 inf + 3718 34.281 * * [simplify]: Extracting #7: cost 0 inf + 4282 34.281 * [simplify]: Simplified to (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (cbrt N))) 34.281 * [simplify]: Simplified (2 1 1) to (λ (N) (log (* (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N))))) 34.281 * [simplify]: Simplifying (/ (cbrt (+ 1 N)) (cbrt N)) 34.282 * * [simplify]: iters left: 5 (6 enodes) 34.283 * * [simplify]: iters left: 4 (21 enodes) 34.287 * * [simplify]: iters left: 3 (23 enodes) 34.290 * * [simplify]: Extracting #0: cost 1 inf + 0 34.290 * * [simplify]: Extracting #1: cost 4 inf + 0 34.290 * * [simplify]: Extracting #2: cost 8 inf + 0 34.290 * * [simplify]: Extracting #3: cost 7 inf + 163 34.290 * * [simplify]: Extracting #4: cost 6 inf + 164 34.290 * * [simplify]: Extracting #5: cost 0 inf + 976 34.290 * [simplify]: Simplified to (/ (cbrt (+ N 1)) (cbrt N)) 34.290 * [simplify]: Simplified (2 1 2) to (λ (N) (log (* (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1)) (cbrt N))))) 34.290 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 34.291 * [simplify]: Simplifying (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N)) 34.291 * * [simplify]: iters left: 6 (7 enodes) 34.292 * * [simplify]: iters left: 5 (26 enodes) 34.296 * * [simplify]: iters left: 4 (32 enodes) 34.301 * * [simplify]: iters left: 3 (35 enodes) 34.308 * * [simplify]: Extracting #0: cost 1 inf + 0 34.308 * * [simplify]: Extracting #1: cost 7 inf + 0 34.308 * * [simplify]: Extracting #2: cost 14 inf + 0 34.308 * * [simplify]: Extracting #3: cost 14 inf + 42 34.308 * * [simplify]: Extracting #4: cost 12 inf + 84 34.308 * * [simplify]: Extracting #5: cost 4 inf + 1220 34.309 * * [simplify]: Extracting #6: cost 2 inf + 1624 34.309 * * [simplify]: Extracting #7: cost 0 inf + 2028 34.309 * [simplify]: Simplified to (* (cbrt (+ N 1)) (/ (cbrt (+ N 1)) (sqrt N))) 34.309 * [simplify]: Simplified (2 1 1) to (λ (N) (log (* (* (cbrt (+ N 1)) (/ (cbrt (+ N 1)) (sqrt N))) (/ (cbrt (+ 1 N)) (sqrt N))))) 34.310 * [simplify]: Simplifying (/ (cbrt (+ 1 N)) (sqrt N)) 34.310 * * [simplify]: iters left: 5 (6 enodes) 34.311 * * [simplify]: iters left: 4 (21 enodes) 34.315 * * [simplify]: iters left: 3 (23 enodes) 34.318 * * [simplify]: Extracting #0: cost 1 inf + 0 34.318 * * [simplify]: Extracting #1: cost 4 inf + 0 34.318 * * [simplify]: Extracting #2: cost 8 inf + 0 34.318 * * [simplify]: Extracting #3: cost 7 inf + 83 34.318 * * [simplify]: Extracting #4: cost 6 inf + 84 34.318 * * [simplify]: Extracting #5: cost 0 inf + 816 34.319 * [simplify]: Simplified to (/ (cbrt (+ N 1)) (sqrt N)) 34.319 * [simplify]: Simplified (2 1 2) to (λ (N) (log (* (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N)) (/ (cbrt (+ N 1)) (sqrt N))))) 34.319 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 34.319 * [simplify]: Simplifying (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1) 34.319 * * [simplify]: iters left: 6 (6 enodes) 34.321 * * [simplify]: iters left: 5 (21 enodes) 34.324 * * [simplify]: iters left: 4 (31 enodes) 34.329 * * [simplify]: iters left: 3 (32 enodes) 34.333 * * [simplify]: Extracting #0: cost 1 inf + 0 34.333 * * [simplify]: Extracting #1: cost 5 inf + 0 34.333 * * [simplify]: Extracting #2: cost 7 inf + 1 34.333 * * [simplify]: Extracting #3: cost 9 inf + 1 34.333 * * [simplify]: Extracting #4: cost 8 inf + 2 34.333 * * [simplify]: Extracting #5: cost 0 inf + 978 34.333 * [simplify]: Simplified to (* (cbrt (+ N 1)) (cbrt (+ N 1))) 34.333 * [simplify]: Simplified (2 1 1) to (λ (N) (log (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ (cbrt (+ 1 N)) N)))) 34.333 * [simplify]: Simplifying (/ (cbrt (+ 1 N)) N) 34.333 * * [simplify]: iters left: 5 (5 enodes) 34.335 * * [simplify]: iters left: 4 (18 enodes) 34.338 * * [simplify]: iters left: 3 (20 enodes) 34.340 * * [simplify]: Extracting #0: cost 1 inf + 0 34.341 * * [simplify]: Extracting #1: cost 4 inf + 0 34.341 * * [simplify]: Extracting #2: cost 5 inf + 1 34.341 * * [simplify]: Extracting #3: cost 7 inf + 1 34.341 * * [simplify]: Extracting #4: cost 6 inf + 2 34.341 * * [simplify]: Extracting #5: cost 0 inf + 654 34.341 * [simplify]: Simplified to (/ (cbrt (+ N 1)) N) 34.341 * [simplify]: Simplified (2 1 2) to (λ (N) (log (* (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1) (/ (cbrt (+ N 1)) N)))) 34.341 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 34.341 * [simplify]: Simplifying (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) 34.341 * * [simplify]: iters left: 5 (7 enodes) 34.343 * * [simplify]: iters left: 4 (26 enodes) 34.347 * * [simplify]: iters left: 3 (30 enodes) 34.355 * * [simplify]: Extracting #0: cost 1 inf + 0 34.355 * * [simplify]: Extracting #1: cost 6 inf + 0 34.356 * * [simplify]: Extracting #2: cost 12 inf + 0 34.356 * * [simplify]: Extracting #3: cost 13 inf + 1 34.356 * * [simplify]: Extracting #4: cost 10 inf + 204 34.356 * * [simplify]: Extracting #5: cost 2 inf + 1058 34.356 * * [simplify]: Extracting #6: cost 1 inf + 1300 34.357 * * [simplify]: Extracting #7: cost 0 inf + 1542 34.357 * [simplify]: Simplified to (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))) 34.357 * [simplify]: Simplified (2 1 1) to (λ (N) (log (* (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N))))) 34.358 * [simplify]: Simplifying (/ (sqrt (+ 1 N)) (cbrt N)) 34.358 * * [simplify]: iters left: 5 (6 enodes) 34.361 * * [simplify]: iters left: 4 (21 enodes) 34.368 * * [simplify]: iters left: 3 (23 enodes) 34.374 * * [simplify]: Extracting #0: cost 1 inf + 0 34.375 * * [simplify]: Extracting #1: cost 4 inf + 0 34.375 * * [simplify]: Extracting #2: cost 8 inf + 0 34.375 * * [simplify]: Extracting #3: cost 7 inf + 163 34.375 * * [simplify]: Extracting #4: cost 6 inf + 164 34.375 * * [simplify]: Extracting #5: cost 0 inf + 816 34.375 * [simplify]: Simplified to (/ (sqrt (+ N 1)) (cbrt N)) 34.375 * [simplify]: Simplified (2 1 2) to (λ (N) (log (* (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1)) (cbrt N))))) 34.376 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 34.376 * [simplify]: Simplifying (/ (sqrt (+ 1 N)) (sqrt N)) 34.376 * * [simplify]: iters left: 5 (6 enodes) 34.379 * * [simplify]: iters left: 4 (21 enodes) 34.386 * * [simplify]: iters left: 3 (23 enodes) 34.392 * * [simplify]: Extracting #0: cost 1 inf + 0 34.392 * * [simplify]: Extracting #1: cost 4 inf + 0 34.392 * * [simplify]: Extracting #2: cost 8 inf + 0 34.393 * * [simplify]: Extracting #3: cost 7 inf + 83 34.393 * * [simplify]: Extracting #4: cost 6 inf + 84 34.393 * * [simplify]: Extracting #5: cost 0 inf + 656 34.393 * [simplify]: Simplified to (/ (sqrt (+ N 1)) (sqrt N)) 34.393 * [simplify]: Simplified (2 1 1) to (λ (N) (log (* (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N))))) 34.394 * [simplify]: Simplifying (/ (sqrt (+ 1 N)) (sqrt N)) 34.394 * * [simplify]: iters left: 5 (6 enodes) 34.397 * * [simplify]: iters left: 4 (21 enodes) 34.402 * * [simplify]: iters left: 3 (23 enodes) 34.406 * * [simplify]: Extracting #0: cost 1 inf + 0 34.406 * * [simplify]: Extracting #1: cost 4 inf + 0 34.406 * * [simplify]: Extracting #2: cost 8 inf + 0 34.406 * * [simplify]: Extracting #3: cost 7 inf + 83 34.406 * * [simplify]: Extracting #4: cost 6 inf + 84 34.406 * * [simplify]: Extracting #5: cost 0 inf + 656 34.406 * [simplify]: Simplified to (/ (sqrt (+ N 1)) (sqrt N)) 34.406 * [simplify]: Simplified (2 1 2) to (λ (N) (log (* (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N))))) 34.406 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 34.407 * [simplify]: Simplifying (/ (sqrt (+ 1 N)) 1) 34.407 * * [simplify]: iters left: 5 (5 enodes) 34.408 * * [simplify]: iters left: 4 (16 enodes) 34.411 * * [simplify]: iters left: 3 (18 enodes) 34.415 * * [simplify]: Extracting #0: cost 1 inf + 0 34.415 * * [simplify]: Extracting #1: cost 4 inf + 0 34.415 * * [simplify]: Extracting #2: cost 5 inf + 1 34.416 * * [simplify]: Extracting #3: cost 1 inf + 168 34.416 * * [simplify]: Extracting #4: cost 0 inf + 250 34.416 * [simplify]: Simplified to (sqrt (+ N 1)) 34.416 * [simplify]: Simplified (2 1 1) to (λ (N) (log (* (sqrt (+ N 1)) (/ (sqrt (+ 1 N)) N)))) 34.416 * [simplify]: Simplifying (/ (sqrt (+ 1 N)) N) 34.416 * * [simplify]: iters left: 5 (5 enodes) 34.417 * * [simplify]: iters left: 4 (18 enodes) 34.420 * * [simplify]: iters left: 3 (20 enodes) 34.423 * * [simplify]: Extracting #0: cost 1 inf + 0 34.423 * * [simplify]: Extracting #1: cost 4 inf + 0 34.423 * * [simplify]: Extracting #2: cost 5 inf + 1 34.423 * * [simplify]: Extracting #3: cost 7 inf + 1 34.423 * * [simplify]: Extracting #4: cost 6 inf + 2 34.424 * * [simplify]: Extracting #5: cost 0 inf + 494 34.424 * [simplify]: Simplified to (/ (sqrt (+ N 1)) N) 34.424 * [simplify]: Simplified (2 1 2) to (λ (N) (log (* (/ (sqrt (+ 1 N)) 1) (/ (sqrt (+ N 1)) N)))) 34.424 * * * * [progress]: [ 48 / 72 ] simplifiying candidate # 34.424 * [simplify]: Simplifying (/ 1 (* (cbrt N) (cbrt N))) 34.424 * * [simplify]: iters left: 5 (5 enodes) 34.425 * * [simplify]: iters left: 4 (19 enodes) 34.429 * * [simplify]: iters left: 3 (23 enodes) 34.432 * * [simplify]: Extracting #0: cost 1 inf + 0 34.432 * * [simplify]: Extracting #1: cost 6 inf + 0 34.432 * * [simplify]: Extracting #2: cost 9 inf + 1 34.432 * * [simplify]: Extracting #3: cost 1 inf + 852 34.433 * * [simplify]: Extracting #4: cost 0 inf + 974 34.433 * [simplify]: Simplified to (/ 1 (* (cbrt N) (cbrt N))) 34.433 * [simplify]: Simplified (2 1 1) to (λ (N) (log (* (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N))))) 34.433 * [simplify]: Simplifying (/ (+ 1 N) (cbrt N)) 34.433 * * [simplify]: iters left: 4 (5 enodes) 34.434 * * [simplify]: iters left: 3 (18 enodes) 34.437 * * [simplify]: iters left: 2 (20 enodes) 34.440 * * [simplify]: Extracting #0: cost 1 inf + 0 34.440 * * [simplify]: Extracting #1: cost 4 inf + 0 34.440 * * [simplify]: Extracting #2: cost 8 inf + 0 34.440 * * [simplify]: Extracting #3: cost 4 inf + 164 34.441 * * [simplify]: Extracting #4: cost 0 inf + 572 34.441 * [simplify]: Simplified to (/ (+ N 1) (cbrt N)) 34.441 * [simplify]: Simplified (2 1 2) to (λ (N) (log (* (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N))))) 34.441 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 34.441 * [simplify]: Simplifying (/ 1 (sqrt N)) 34.441 * * [simplify]: iters left: 3 (4 enodes) 34.442 * * [simplify]: iters left: 2 (14 enodes) 34.445 * * [simplify]: iters left: 1 (16 enodes) 34.447 * * [simplify]: Extracting #0: cost 1 inf + 0 34.447 * * [simplify]: Extracting #1: cost 4 inf + 0 34.447 * * [simplify]: Extracting #2: cost 5 inf + 1 34.447 * * [simplify]: Extracting #3: cost 3 inf + 43 34.447 * * [simplify]: Extracting #4: cost 1 inf + 166 34.447 * * [simplify]: Extracting #5: cost 0 inf + 248 34.447 * [simplify]: Simplified to (/ 1 (sqrt N)) 34.447 * [simplify]: Simplified (2 1 1) to (λ (N) (log (* (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N))))) 34.448 * [simplify]: Simplifying (/ (+ 1 N) (sqrt N)) 34.448 * * [simplify]: iters left: 4 (5 enodes) 34.449 * * [simplify]: iters left: 3 (18 enodes) 34.452 * * [simplify]: iters left: 2 (20 enodes) 34.455 * * [simplify]: Extracting #0: cost 1 inf + 0 34.455 * * [simplify]: Extracting #1: cost 4 inf + 0 34.455 * * [simplify]: Extracting #2: cost 8 inf + 0 34.455 * * [simplify]: Extracting #3: cost 4 inf + 84 34.455 * * [simplify]: Extracting #4: cost 0 inf + 412 34.455 * [simplify]: Simplified to (/ (+ N 1) (sqrt N)) 34.456 * [simplify]: Simplified (2 1 2) to (λ (N) (log (* (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N))))) 34.456 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 34.456 * [simplify]: Simplifying (/ 1 1) 34.456 * * [simplify]: iters left: 2 (2 enodes) 34.457 * * [simplify]: iters left: 1 (6 enodes) 34.458 * * [simplify]: Extracting #0: cost 1 inf + 0 34.458 * * [simplify]: Extracting #1: cost 0 inf + 1 34.458 * [simplify]: Simplified to 1 34.458 * [simplify]: Simplified (2 1 1) to (λ (N) (log (* 1 (/ (+ 1 N) N)))) 34.458 * [simplify]: Simplifying (/ (+ 1 N) N) 34.458 * * [simplify]: iters left: 4 (4 enodes) 34.459 * * [simplify]: iters left: 3 (15 enodes) 34.462 * * [simplify]: iters left: 2 (17 enodes) 34.465 * * [simplify]: Extracting #0: cost 1 inf + 0 34.465 * * [simplify]: Extracting #1: cost 4 inf + 0 34.465 * * [simplify]: Extracting #2: cost 5 inf + 1 34.465 * * [simplify]: Extracting #3: cost 2 inf + 86 34.465 * * [simplify]: Extracting #4: cost 1 inf + 168 34.465 * * [simplify]: Extracting #5: cost 0 inf + 250 34.465 * [simplify]: Simplified to (/ (+ N 1) N) 34.465 * [simplify]: Simplified (2 1 2) to (λ (N) (log (* 1 (/ (+ N 1) N)))) 34.465 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 34.466 * [simplify]: Simplifying (/ 1 (* (cbrt N) (cbrt N))) 34.466 * * [simplify]: iters left: 5 (5 enodes) 34.467 * * [simplify]: iters left: 4 (19 enodes) 34.471 * * [simplify]: iters left: 3 (23 enodes) 34.478 * * [simplify]: Extracting #0: cost 1 inf + 0 34.479 * * [simplify]: Extracting #1: cost 6 inf + 0 34.479 * * [simplify]: Extracting #2: cost 9 inf + 1 34.479 * * [simplify]: Extracting #3: cost 1 inf + 852 34.479 * * [simplify]: Extracting #4: cost 0 inf + 974 34.479 * [simplify]: Simplified to (/ 1 (* (cbrt N) (cbrt N))) 34.479 * [simplify]: Simplified (2 1 1) to (λ (N) (log (* (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N))))) 34.480 * [simplify]: Simplifying (/ (+ 1 N) (cbrt N)) 34.480 * * [simplify]: iters left: 4 (5 enodes) 34.483 * * [simplify]: iters left: 3 (18 enodes) 34.488 * * [simplify]: iters left: 2 (20 enodes) 34.494 * * [simplify]: Extracting #0: cost 1 inf + 0 34.494 * * [simplify]: Extracting #1: cost 4 inf + 0 34.494 * * [simplify]: Extracting #2: cost 8 inf + 0 34.494 * * [simplify]: Extracting #3: cost 4 inf + 164 34.495 * * [simplify]: Extracting #4: cost 0 inf + 572 34.495 * [simplify]: Simplified to (/ (+ N 1) (cbrt N)) 34.495 * [simplify]: Simplified (2 1 2) to (λ (N) (log (* (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N))))) 34.495 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 34.495 * [simplify]: Simplifying (/ 1 (sqrt N)) 34.495 * * [simplify]: iters left: 3 (4 enodes) 34.498 * * [simplify]: iters left: 2 (14 enodes) 34.502 * * [simplify]: iters left: 1 (16 enodes) 34.507 * * [simplify]: Extracting #0: cost 1 inf + 0 34.507 * * [simplify]: Extracting #1: cost 4 inf + 0 34.507 * * [simplify]: Extracting #2: cost 5 inf + 1 34.507 * * [simplify]: Extracting #3: cost 3 inf + 43 34.507 * * [simplify]: Extracting #4: cost 1 inf + 166 34.507 * * [simplify]: Extracting #5: cost 0 inf + 248 34.508 * [simplify]: Simplified to (/ 1 (sqrt N)) 34.508 * [simplify]: Simplified (2 1 1) to (λ (N) (log (* (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N))))) 34.508 * [simplify]: Simplifying (/ (+ 1 N) (sqrt N)) 34.508 * * [simplify]: iters left: 4 (5 enodes) 34.511 * * [simplify]: iters left: 3 (18 enodes) 34.517 * * [simplify]: iters left: 2 (20 enodes) 34.523 * * [simplify]: Extracting #0: cost 1 inf + 0 34.523 * * [simplify]: Extracting #1: cost 4 inf + 0 34.523 * * [simplify]: Extracting #2: cost 8 inf + 0 34.523 * * [simplify]: Extracting #3: cost 4 inf + 84 34.523 * * [simplify]: Extracting #4: cost 0 inf + 412 34.523 * [simplify]: Simplified to (/ (+ N 1) (sqrt N)) 34.523 * [simplify]: Simplified (2 1 2) to (λ (N) (log (* (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N))))) 34.524 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 34.524 * [simplify]: Simplifying (/ 1 1) 34.524 * * [simplify]: iters left: 2 (2 enodes) 34.525 * * [simplify]: iters left: 1 (6 enodes) 34.530 * * [simplify]: Extracting #0: cost 1 inf + 0 34.530 * * [simplify]: Extracting #1: cost 0 inf + 1 34.530 * [simplify]: Simplified to 1 34.530 * [simplify]: Simplified (2 1 1) to (λ (N) (log (* 1 (/ (+ 1 N) N)))) 34.530 * [simplify]: Simplifying (/ (+ 1 N) N) 34.531 * * [simplify]: iters left: 4 (4 enodes) 34.533 * * [simplify]: iters left: 3 (15 enodes) 34.536 * * [simplify]: iters left: 2 (17 enodes) 34.538 * * [simplify]: Extracting #0: cost 1 inf + 0 34.539 * * [simplify]: Extracting #1: cost 4 inf + 0 34.539 * * [simplify]: Extracting #2: cost 5 inf + 1 34.539 * * [simplify]: Extracting #3: cost 2 inf + 86 34.539 * * [simplify]: Extracting #4: cost 1 inf + 168 34.539 * * [simplify]: Extracting #5: cost 0 inf + 250 34.539 * [simplify]: Simplified to (/ (+ N 1) N) 34.539 * [simplify]: Simplified (2 1 2) to (λ (N) (log (* 1 (/ (+ N 1) N)))) 34.539 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 34.539 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 34.539 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 34.539 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 34.539 * [simplify]: Simplifying (cbrt N) 34.539 * * [simplify]: iters left: 1 (2 enodes) 34.540 * * [simplify]: Extracting #0: cost 1 inf + 0 34.540 * * [simplify]: Extracting #1: cost 3 inf + 0 34.540 * * [simplify]: Extracting #2: cost 2 inf + 1 34.540 * * [simplify]: Extracting #3: cost 0 inf + 163 34.540 * [simplify]: Simplified to (cbrt N) 34.540 * [simplify]: Simplified (2 1 2) to (λ (N) (log (/ (/ (+ 1 N) (* (cbrt N) (cbrt N))) (cbrt N)))) 34.540 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 34.540 * [simplify]: Simplifying (sqrt N) 34.540 * * [simplify]: iters left: 1 (2 enodes) 34.541 * * [simplify]: Extracting #0: cost 1 inf + 0 34.541 * * [simplify]: Extracting #1: cost 3 inf + 0 34.541 * * [simplify]: Extracting #2: cost 2 inf + 1 34.541 * * [simplify]: Extracting #3: cost 0 inf + 83 34.541 * [simplify]: Simplified to (sqrt N) 34.541 * [simplify]: Simplified (2 1 2) to (λ (N) (log (/ (/ (+ 1 N) (sqrt N)) (sqrt N)))) 34.541 * * * * [progress]: [ 59 / 72 ] simplifiying candidate # 34.541 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 34.541 * [simplify]: Simplifying (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 34.541 * * [simplify]: iters left: 5 (5 enodes) 34.543 * * [simplify]: iters left: 4 (18 enodes) 34.546 * * [simplify]: iters left: 3 (20 enodes) 34.549 * * [simplify]: Extracting #0: cost 1 inf + 0 34.549 * * [simplify]: Extracting #1: cost 3 inf + 0 34.549 * * [simplify]: Extracting #2: cost 5 inf + 0 34.549 * * [simplify]: Extracting #3: cost 8 inf + 0 34.549 * * [simplify]: Extracting #4: cost 6 inf + 2 34.549 * * [simplify]: Extracting #5: cost 0 inf + 654 34.549 * [simplify]: Simplified to (* (cbrt (+ N 1)) (cbrt (+ N 1))) 34.549 * [simplify]: Simplified (2 1 1) to (λ (N) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (/ N (cbrt (+ 1 N)))))) 34.549 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 34.549 * [simplify]: Simplifying (sqrt (+ 1 N)) 34.549 * * [simplify]: iters left: 3 (4 enodes) 34.551 * * [simplify]: iters left: 2 (15 enodes) 34.553 * * [simplify]: iters left: 1 (17 enodes) 34.555 * * [simplify]: Extracting #0: cost 1 inf + 0 34.555 * * [simplify]: Extracting #1: cost 3 inf + 0 34.556 * * [simplify]: Extracting #2: cost 6 inf + 0 34.556 * * [simplify]: Extracting #3: cost 2 inf + 86 34.556 * * [simplify]: Extracting #4: cost 1 inf + 168 34.556 * * [simplify]: Extracting #5: cost 0 inf + 250 34.556 * [simplify]: Simplified to (sqrt (+ N 1)) 34.556 * [simplify]: Simplified (2 1 1) to (λ (N) (log (/ (sqrt (+ N 1)) (/ N (sqrt (+ 1 N)))))) 34.556 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 34.556 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 34.556 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 34.556 * [simplify]: Simplifying (+ (pow 1 3) (pow N 3)) 34.556 * * [simplify]: iters left: 3 (6 enodes) 34.559 * * [simplify]: iters left: 2 (29 enodes) 34.565 * * [simplify]: iters left: 1 (50 enodes) 34.583 * * [simplify]: Extracting #0: cost 1 inf + 0 34.583 * * [simplify]: Extracting #1: cost 7 inf + 0 34.584 * * [simplify]: Extracting #2: cost 11 inf + 43 34.584 * * [simplify]: Extracting #3: cost 7 inf + 557 34.584 * * [simplify]: Extracting #4: cost 3 inf + 1291 34.585 * * [simplify]: Extracting #5: cost 0 inf + 1756 34.585 * [simplify]: Simplified to (fma (* N N) N 1) 34.585 * [simplify]: Simplified (2 1 1) to (λ (N) (log (/ (fma (* N N) N 1) (* N (+ (* 1 1) (- (* N N) (* 1 N))))))) 34.585 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 34.586 * [simplify]: Simplifying (- (* 1 1) (* N N)) 34.586 * * [simplify]: iters left: 4 (5 enodes) 34.589 * * [simplify]: iters left: 3 (18 enodes) 34.594 * * [simplify]: iters left: 2 (26 enodes) 34.598 * * [simplify]: iters left: 1 (30 enodes) 34.602 * * [simplify]: Extracting #0: cost 1 inf + 0 34.602 * * [simplify]: Extracting #1: cost 7 inf + 0 34.602 * * [simplify]: Extracting #2: cost 8 inf + 2 34.602 * * [simplify]: Extracting #3: cost 0 inf + 492 34.602 * [simplify]: Simplified to (- 1 (* N N)) 34.602 * [simplify]: Simplified (2 1 1) to (λ (N) (log (/ (- 1 (* N N)) (* N (- 1 N))))) 34.602 * * * * [progress]: [ 66 / 72 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))> 34.602 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 34.603 * [simplify]: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) 34.603 * * [simplify]: iters left: 6 (8 enodes) 34.605 * * [simplify]: iters left: 5 (35 enodes) 34.612 * * [simplify]: iters left: 4 (58 enodes) 34.622 * * [simplify]: iters left: 3 (98 enodes) 34.656 * * [simplify]: iters left: 2 (159 enodes) 34.682 * * [simplify]: iters left: 1 (209 enodes) 34.742 * * [simplify]: Extracting #0: cost 1 inf + 0 34.743 * * [simplify]: Extracting #1: cost 23 inf + 0 34.743 * * [simplify]: Extracting #2: cost 38 inf + 3 34.744 * * [simplify]: Extracting #3: cost 19 inf + 1431 34.746 * * [simplify]: Extracting #4: cost 2 inf + 3608 34.749 * * [simplify]: Extracting #5: cost 0 inf + 3785 34.752 * [simplify]: Simplified to (- N (fma 1/2 (* N N) (log N))) 34.752 * [simplify]: Simplified (2) to (λ (N) (- N (fma 1/2 (* N N) (log N)))) 34.752 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 34.752 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 34.752 * * [simplify]: iters left: 6 (15 enodes) 34.764 * * [simplify]: iters left: 5 (69 enodes) 34.781 * * [simplify]: iters left: 4 (118 enodes) 34.802 * * [simplify]: iters left: 3 (180 enodes) 34.866 * * [simplify]: iters left: 2 (298 enodes) 34.931 * * [simplify]: Extracting #0: cost 1 inf + 0 34.931 * * [simplify]: Extracting #1: cost 17 inf + 0 34.931 * * [simplify]: Extracting #2: cost 71 inf + 3 34.932 * * [simplify]: Extracting #3: cost 106 inf + 908 34.934 * * [simplify]: Extracting #4: cost 71 inf + 5296 34.940 * * [simplify]: Extracting #5: cost 31 inf + 19551 34.947 * * [simplify]: Extracting #6: cost 0 inf + 32382 34.955 * * [simplify]: Extracting #7: cost 0 inf + 32262 34.967 * [simplify]: Simplified to (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ -1/3 (* (* N N) N))) 34.967 * [simplify]: Simplified (2) to (λ (N) (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 34.967 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 34.968 * [simplify]: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 34.968 * * [simplify]: iters left: 6 (15 enodes) 34.979 * * [simplify]: iters left: 5 (69 enodes) 35.007 * * [simplify]: iters left: 4 (118 enodes) 35.037 * * [simplify]: iters left: 3 (180 enodes) 35.078 * * [simplify]: iters left: 2 (298 enodes) 35.143 * * [simplify]: Extracting #0: cost 1 inf + 0 35.143 * * [simplify]: Extracting #1: cost 17 inf + 0 35.143 * * [simplify]: Extracting #2: cost 71 inf + 3 35.144 * * [simplify]: Extracting #3: cost 106 inf + 908 35.147 * * [simplify]: Extracting #4: cost 71 inf + 5296 35.152 * * [simplify]: Extracting #5: cost 31 inf + 19551 35.159 * * [simplify]: Extracting #6: cost 0 inf + 32382 35.166 * * [simplify]: Extracting #7: cost 0 inf + 32262 35.174 * [simplify]: Simplified to (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ -1/3 (* (* N N) N))) 35.174 * [simplify]: Simplified (2) to (λ (N) (- (+ (/ -1/2 (* N N)) (/ 1 N)) (/ -1/3 (* (* N N) N)))) 35.174 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 35.175 * [simplify]: Simplifying (+ (/ 1 N) 1) 35.175 * * [simplify]: iters left: 4 (4 enodes) 35.177 * * [simplify]: iters left: 3 (15 enodes) 35.182 * * [simplify]: iters left: 2 (17 enodes) 35.187 * * [simplify]: Extracting #0: cost 1 inf + 0 35.187 * * [simplify]: Extracting #1: cost 4 inf + 0 35.188 * * [simplify]: Extracting #2: cost 5 inf + 1 35.188 * * [simplify]: Extracting #3: cost 4 inf + 2 35.188 * * [simplify]: Extracting #4: cost 1 inf + 208 35.188 * * [simplify]: Extracting #5: cost 0 inf + 250 35.188 * [simplify]: Simplified to (+ 1 (/ 1 N)) 35.188 * [simplify]: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 35.188 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 35.188 * [simplify]: Simplifying (+ (/ 1 N) 1) 35.189 * * [simplify]: iters left: 4 (4 enodes) 35.191 * * [simplify]: iters left: 3 (15 enodes) 35.201 * * [simplify]: iters left: 2 (17 enodes) 35.206 * * [simplify]: Extracting #0: cost 1 inf + 0 35.206 * * [simplify]: Extracting #1: cost 4 inf + 0 35.206 * * [simplify]: Extracting #2: cost 5 inf + 1 35.206 * * [simplify]: Extracting #3: cost 4 inf + 2 35.206 * * [simplify]: Extracting #4: cost 1 inf + 208 35.206 * * [simplify]: Extracting #5: cost 0 inf + 250 35.206 * [simplify]: Simplified to (+ 1 (/ 1 N)) 35.207 * [simplify]: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 35.207 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 35.207 * [simplify]: Simplifying (+ (/ 1 N) 1) 35.207 * * [simplify]: iters left: 4 (4 enodes) 35.209 * * [simplify]: iters left: 3 (15 enodes) 35.214 * * [simplify]: iters left: 2 (17 enodes) 35.219 * * [simplify]: Extracting #0: cost 1 inf + 0 35.219 * * [simplify]: Extracting #1: cost 4 inf + 0 35.219 * * [simplify]: Extracting #2: cost 5 inf + 1 35.219 * * [simplify]: Extracting #3: cost 4 inf + 2 35.220 * * [simplify]: Extracting #4: cost 1 inf + 208 35.220 * * [simplify]: Extracting #5: cost 0 inf + 250 35.220 * [simplify]: Simplified to (+ 1 (/ 1 N)) 35.220 * [simplify]: Simplified (2 1) to (λ (N) (log (+ 1 (/ 1 N)))) 35.220 * * * [progress]: adding candidates to table 35.726 * [progress]: [Phase 3 of 3] Extracting. 35.726 * * [regime]: Finding splitpoints for: (# # #) 35.726 * * * [regime-changes]: Trying 1 branch expressions: (N) 35.726 * * * * [regimes]: Trying to branch on N from (# # #) 35.748 * * * [regime]: Found split indices: #