18.274 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.085 * * * [progress]: [2/2] Setting up program. 0.089 * [progress]: [Phase 2 of 3] Improving. 0.089 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.090 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.090 * * [simplify]: iteration 0: 6 enodes 0.092 * * [simplify]: iteration 1: 11 enodes 0.095 * * [simplify]: iteration 2: 13 enodes 0.097 * * [simplify]: iteration complete: 13 enodes 0.097 * * [simplify]: Extracting #0: cost 1 inf + 0 0.097 * * [simplify]: Extracting #1: cost 4 inf + 0 0.097 * * [simplify]: Extracting #2: cost 6 inf + 0 0.097 * * [simplify]: Extracting #3: cost 2 inf + 475 0.097 * * [simplify]: Extracting #4: cost 0 inf + 518 0.097 * [simplify]: Simplified to: (- (log1p N) (log N)) 0.101 * * [progress]: iteration 1 / 4 0.101 * * * [progress]: picking best candidate 0.112 * * * * [pick]: Picked # 0.112 * * * [progress]: localizing error 0.121 * * * [progress]: generating rewritten candidates 0.121 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.135 * * * [progress]: generating series expansions 0.135 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.136 * [backup-simplify]: Simplify (- (log1p N) (log N)) into (- (log1p N) (log N)) 0.136 * [approximate]: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0 0.136 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.136 * [taylor]: Taking taylor expansion of (log1p N) in N 0.137 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.137 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.137 * [taylor]: Taking taylor expansion of 1 in N 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [taylor]: Taking taylor expansion of N in N 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (+ 1 0) into 1 0.138 * [backup-simplify]: Simplify (log 1) into 0 0.138 * [taylor]: Taking taylor expansion of (log N) in N 0.138 * [taylor]: Taking taylor expansion of N in N 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (log 1) into 0 0.139 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.139 * [taylor]: Taking taylor expansion of (log1p N) in N 0.139 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.139 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.139 * [taylor]: Taking taylor expansion of 1 in N 0.139 * [backup-simplify]: Simplify 1 into 1 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 0.140 * [backup-simplify]: Simplify (+ 1 0) into 1 0.140 * [backup-simplify]: Simplify (log 1) into 0 0.140 * [taylor]: Taking taylor expansion of (log 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 (log 1) into 0 0.141 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.141 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.141 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.141 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.142 * [backup-simplify]: Simplify (+ 0 1) into 1 0.143 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.144 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.144 * [backup-simplify]: Simplify (- 0) into 0 0.145 * [backup-simplify]: Simplify (+ 1 0) into 1 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.151 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.151 * [backup-simplify]: Simplify (- 0) into 0 0.152 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.152 * [backup-simplify]: Simplify -1/2 into -1/2 0.152 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.152 * [backup-simplify]: Simplify (- (log1p (/ 1 N)) (log (/ 1 N))) into (- (log1p (/ 1 N)) (log (/ 1 N))) 0.152 * [approximate]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0 0.152 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.152 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.152 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.152 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.152 * [taylor]: Taking taylor expansion of 1 in N 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.153 * [taylor]: Taking taylor expansion of N in N 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [backup-simplify]: Simplify (+ 0 1) into 1 0.154 * [backup-simplify]: Simplify (log 1) into 0 0.154 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.154 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.154 * [taylor]: Taking taylor expansion of N in N 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (/ 1 1) into 1 0.155 * [backup-simplify]: Simplify (log 1) into 0 0.155 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.155 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.155 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.155 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.155 * [taylor]: Taking taylor expansion of 1 in N 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.155 * [taylor]: Taking taylor expansion of N in N 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [backup-simplify]: Simplify (+ 0 1) into 1 0.156 * [backup-simplify]: Simplify (log 1) into 0 0.156 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.156 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.156 * [taylor]: Taking taylor expansion of N in N 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (/ 1 1) into 1 0.157 * [backup-simplify]: Simplify (log 1) into 0 0.157 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.158 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.158 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.158 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ 1 0) into 1 0.160 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.163 * [backup-simplify]: Simplify (- 0) into 0 0.163 * [backup-simplify]: Simplify (+ 1 0) into 1 0.163 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.172 * [backup-simplify]: Simplify (- 0) into 0 0.172 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.172 * [backup-simplify]: Simplify -1/2 into -1/2 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [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 0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.183 * [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 0.184 * [backup-simplify]: Simplify (- 0) into 0 0.184 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.184 * [backup-simplify]: Simplify 1/3 into 1/3 0.184 * [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)))) 0.184 * [backup-simplify]: Simplify (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) into (- (log1p (/ -1 N)) (log (/ -1 N))) 0.184 * [approximate]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in (N) around 0 0.184 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.184 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.184 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.184 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.184 * [taylor]: Taking taylor expansion of 1 in N 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.185 * [taylor]: Taking taylor expansion of -1 in N 0.185 * [backup-simplify]: Simplify -1 into -1 0.185 * [taylor]: Taking taylor expansion of N in N 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (/ -1 1) into -1 0.185 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.185 * [backup-simplify]: Simplify (log -1) into (log -1) 0.185 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.185 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.186 * [taylor]: Taking taylor expansion of -1 in N 0.186 * [backup-simplify]: Simplify -1 into -1 0.186 * [taylor]: Taking taylor expansion of N in N 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (/ -1 1) into -1 0.186 * [backup-simplify]: Simplify (log -1) into (log -1) 0.186 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.186 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.186 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.186 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.186 * [taylor]: Taking taylor expansion of 1 in N 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.186 * [taylor]: Taking taylor expansion of -1 in N 0.186 * [backup-simplify]: Simplify -1 into -1 0.186 * [taylor]: Taking taylor expansion of N in N 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (/ -1 1) into -1 0.187 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.187 * [backup-simplify]: Simplify (log -1) into (log -1) 0.187 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.187 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.187 * [taylor]: Taking taylor expansion of -1 in N 0.187 * [backup-simplify]: Simplify -1 into -1 0.187 * [taylor]: Taking taylor expansion of N in N 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (/ -1 1) into -1 0.188 * [backup-simplify]: Simplify (log -1) into (log -1) 0.188 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.189 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.189 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.190 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ 1 0) into 1 0.192 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.194 * [backup-simplify]: Simplify (- 0) into 0 0.194 * [backup-simplify]: Simplify (+ -1 0) into -1 0.194 * [backup-simplify]: Simplify -1 into -1 0.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.199 * [backup-simplify]: Simplify (- 0) into 0 0.200 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.200 * [backup-simplify]: Simplify -1/2 into -1/2 0.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [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 0.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.207 * [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 0.208 * [backup-simplify]: Simplify (- 0) into 0 0.208 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.209 * [backup-simplify]: Simplify -1/3 into -1/3 0.209 * [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)))) 0.209 * * * [progress]: simplifying candidates 0.209 * * * * [progress]: [ 1 / 40 ] simplifiying candidate # 0.209 * * * * [progress]: [ 2 / 40 ] simplifiying candidate # 0.209 * * * * [progress]: [ 3 / 40 ] simplifiying candidate # 0.209 * * * * [progress]: [ 4 / 40 ] simplifiying candidate # 0.209 * * * * [progress]: [ 5 / 40 ] simplifiying candidate # 0.209 * * * * [progress]: [ 6 / 40 ] simplifiying candidate # 0.209 * * * * [progress]: [ 7 / 40 ] simplifiying candidate # 0.209 * * * * [progress]: [ 8 / 40 ] simplifiying candidate # 0.209 * * * * [progress]: [ 9 / 40 ] simplifiying candidate # 0.209 * * * * [progress]: [ 10 / 40 ] simplifiying candidate # 0.210 * * * * [progress]: [ 11 / 40 ] simplifiying candidate # 0.210 * * * * [progress]: [ 12 / 40 ] simplifiying candidate # 0.210 * * * * [progress]: [ 13 / 40 ] simplifiying candidate # 0.210 * * * * [progress]: [ 14 / 40 ] simplifiying candidate # 0.210 * * * * [progress]: [ 15 / 40 ] simplifiying candidate # 0.210 * * * * [progress]: [ 16 / 40 ] simplifiying candidate # 0.210 * * * * [progress]: [ 17 / 40 ] simplifiying candidate # 0.210 * * * * [progress]: [ 18 / 40 ] simplifiying candidate # 0.210 * * * * [progress]: [ 19 / 40 ] simplifiying candidate # 0.210 * * * * [progress]: [ 20 / 40 ] simplifiying candidate # 0.210 * * * * [progress]: [ 21 / 40 ] simplifiying candidate # 0.210 * * * * [progress]: [ 22 / 40 ] simplifiying candidate # 0.210 * * * * [progress]: [ 23 / 40 ] simplifiying candidate # 0.210 * * * * [progress]: [ 24 / 40 ] simplifiying candidate # 0.210 * * * * [progress]: [ 25 / 40 ] simplifiying candidate # 0.210 * * * * [progress]: [ 26 / 40 ] simplifiying candidate # 0.210 * * * * [progress]: [ 27 / 40 ] simplifiying candidate # 0.210 * * * * [progress]: [ 28 / 40 ] simplifiying candidate # 0.210 * * * * [progress]: [ 29 / 40 ] simplifiying candidate # 0.210 * * * * [progress]: [ 30 / 40 ] simplifiying candidate # 0.210 * * * * [progress]: [ 31 / 40 ] simplifiying candidate # 0.210 * * * * [progress]: [ 32 / 40 ] simplifiying candidate # 0.210 * * * * [progress]: [ 33 / 40 ] simplifiying candidate # 0.210 * * * * [progress]: [ 34 / 40 ] simplifiying candidate # 0.210 * * * * [progress]: [ 35 / 40 ] simplifiying candidate # 0.210 * * * * [progress]: [ 36 / 40 ] simplifiying candidate # 0.210 * * * * [progress]: [ 37 / 40 ] simplifiying candidate #real (real->posit16 (- (log1p N) (log N)))))> 0.210 * * * * [progress]: [ 38 / 40 ] simplifiying candidate # 0.211 * * * * [progress]: [ 39 / 40 ] simplifiying candidate # 0.211 * * * * [progress]: [ 40 / 40 ] simplifiying candidate # 0.211 * [simplify]: Simplifying: (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log1p N) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log1p N) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log1p N) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log1p N) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log1p N) (log N))) (log1p (- (log1p N) (log N))) (- (log N)) (- (log N)) (- (log N)) (/ (+ 1 N) N) (/ (exp (log1p N)) N) (log (- (log1p N) (log N))) (exp (- (log1p N) (log N))) (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) (cbrt (- (log1p N) (log N))) (* (* (- (log1p N) (log N)) (- (log1p N) (log N))) (- (log1p N) (log N))) (sqrt (- (log1p N) (log N))) (sqrt (- (log1p N) (log N))) (- (pow (log1p N) 3) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))) (- (log N)) (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)) (+ (sqrt (log1p N)) (sqrt (log N))) (- (sqrt (log1p N)) (sqrt (log N))) (- (log1p N) (log N)) (- (log1p N) (log N)) (- (log1p N) (log (* (cbrt N) (cbrt N)))) (- (log1p N) (log (sqrt N))) (- (log1p N) (log 1)) (- (log N)) (real->posit16 (- (log1p N) (log N))) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.212 * * [simplify]: iteration 0: 83 enodes 0.240 * * [simplify]: iteration 1: 185 enodes 0.305 * * [simplify]: iteration 2: 403 enodes 0.520 * * [simplify]: iteration 3: 1137 enodes 1.796 * * [simplify]: iteration 4: 4052 enodes 2.815 * * [simplify]: iteration complete: 5000 enodes 2.815 * * [simplify]: Extracting #0: cost 24 inf + 0 2.817 * * [simplify]: Extracting #1: cost 367 inf + 1 2.823 * * [simplify]: Extracting #2: cost 718 inf + 11427 2.852 * * [simplify]: Extracting #3: cost 498 inf + 68470 2.910 * * [simplify]: Extracting #4: cost 180 inf + 156770 2.982 * * [simplify]: Extracting #5: cost 7 inf + 229146 3.070 * * [simplify]: Extracting #6: cost 0 inf + 232781 3.134 * [simplify]: Simplified to: (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (expm1 (- (log1p N) (log N))) (log1p (- (log1p N) (log N))) (- (log N)) (- (log N)) (- (log N)) (/ (+ 1 N) N) (/ (exp (log1p N)) N) (log (- (log1p N) (log N))) (/ (exp (log1p N)) N) (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) (cbrt (- (log1p N) (log N))) (* (* (- (log1p N) (log N)) (- (log1p N) (log N))) (- (log1p N) (log N))) (sqrt (- (log1p N) (log N))) (sqrt (- (log1p N) (log N))) (- (* (log1p N) (* (log1p N) (log1p N))) (* (* (log N) (log N)) (log N))) (fma (log1p N) (log1p N) (* (+ (log N) (log1p N)) (log N))) (- (log N)) (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log N) (log1p N)) (+ (sqrt (log N)) (sqrt (log1p N))) (- (sqrt (log1p N)) (sqrt (log N))) (- (log1p N) (log N)) (- (log1p N) (log N)) (fma -2 (log (cbrt N)) (log1p N)) (- (log1p N) (log (sqrt N))) (log1p N) (- (log N)) (real->posit16 (- (log1p N) (log N))) (- (fma -1/2 (* N N) N) (log N)) (fma (/ (/ 1 N) N) (+ -1/2 (/ 1/3 N)) (/ 1 N)) (fma (/ (/ 1 N) N) (+ -1/2 (/ 1/3 N)) (/ 1 N)) 3.138 * * * [progress]: adding candidates to table 3.269 * * [progress]: iteration 2 / 4 3.269 * * * [progress]: picking best candidate 3.275 * * * * [pick]: Picked # 3.276 * * * [progress]: localizing error 3.288 * * * [progress]: generating rewritten candidates 3.289 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.301 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.341 * * * [progress]: generating series expansions 3.341 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.342 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 3.342 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 3.342 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.342 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.342 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.342 * [taylor]: Taking taylor expansion of N in N 3.342 * [backup-simplify]: Simplify 0 into 0 3.342 * [backup-simplify]: Simplify 1 into 1 3.342 * [taylor]: Taking taylor expansion of 1 in N 3.342 * [backup-simplify]: Simplify 1 into 1 3.342 * [taylor]: Taking taylor expansion of N in N 3.342 * [backup-simplify]: Simplify 0 into 0 3.342 * [backup-simplify]: Simplify 1 into 1 3.343 * [backup-simplify]: Simplify (+ 0 1) into 1 3.343 * [backup-simplify]: Simplify (/ 1 1) into 1 3.344 * [backup-simplify]: Simplify (log 1) into 0 3.344 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.344 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.344 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.344 * [taylor]: Taking taylor expansion of N in N 3.344 * [backup-simplify]: Simplify 0 into 0 3.344 * [backup-simplify]: Simplify 1 into 1 3.344 * [taylor]: Taking taylor expansion of 1 in N 3.344 * [backup-simplify]: Simplify 1 into 1 3.344 * [taylor]: Taking taylor expansion of N in N 3.344 * [backup-simplify]: Simplify 0 into 0 3.344 * [backup-simplify]: Simplify 1 into 1 3.344 * [backup-simplify]: Simplify (+ 0 1) into 1 3.345 * [backup-simplify]: Simplify (/ 1 1) into 1 3.345 * [backup-simplify]: Simplify (log 1) into 0 3.346 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.346 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 3.346 * [backup-simplify]: Simplify (+ 1 0) into 1 3.347 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.348 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.348 * [backup-simplify]: Simplify 1 into 1 3.349 * [backup-simplify]: Simplify (+ 0 0) into 0 3.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.353 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.353 * [backup-simplify]: Simplify -1/2 into -1/2 3.353 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 3.353 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 3.353 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 3.353 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.354 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.354 * [taylor]: Taking taylor expansion of N in N 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify 1 into 1 3.354 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.354 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.354 * [taylor]: Taking taylor expansion of N in N 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify 1 into 1 3.354 * [backup-simplify]: Simplify (/ 1 1) into 1 3.354 * [taylor]: Taking taylor expansion of 1 in N 3.354 * [backup-simplify]: Simplify 1 into 1 3.355 * [backup-simplify]: Simplify (+ 1 0) into 1 3.355 * [backup-simplify]: Simplify (* 0 1) into 0 3.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.357 * [backup-simplify]: Simplify (+ 0 1) into 1 3.357 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.358 * [backup-simplify]: Simplify (log 1) into 0 3.358 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.358 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.358 * [taylor]: Taking taylor expansion of N in N 3.358 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify 1 into 1 3.358 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.358 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.358 * [taylor]: Taking taylor expansion of N in N 3.358 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify 1 into 1 3.358 * [backup-simplify]: Simplify (/ 1 1) into 1 3.358 * [taylor]: Taking taylor expansion of 1 in N 3.359 * [backup-simplify]: Simplify 1 into 1 3.359 * [backup-simplify]: Simplify (+ 1 0) into 1 3.364 * [backup-simplify]: Simplify (* 0 1) into 0 3.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.365 * [backup-simplify]: Simplify (+ 0 1) into 1 3.365 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.365 * [backup-simplify]: Simplify (log 1) into 0 3.365 * [backup-simplify]: Simplify 0 into 0 3.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.366 * [backup-simplify]: Simplify (+ 0 0) into 0 3.367 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.367 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.368 * [backup-simplify]: Simplify 1 into 1 3.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.368 * [backup-simplify]: Simplify (+ 0 0) into 0 3.369 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.370 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.371 * [backup-simplify]: Simplify -1/2 into -1/2 3.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.372 * [backup-simplify]: Simplify (+ 0 0) into 0 3.372 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.375 * [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 3.375 * [backup-simplify]: Simplify 1/3 into 1/3 3.376 * [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)))) 3.376 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 3.376 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 3.376 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 3.376 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.376 * [taylor]: Taking taylor expansion of -1 in N 3.376 * [backup-simplify]: Simplify -1 into -1 3.376 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.376 * [taylor]: Taking taylor expansion of N in N 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify 1 into 1 3.376 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.376 * [taylor]: Taking taylor expansion of 1 in N 3.376 * [backup-simplify]: Simplify 1 into 1 3.376 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.376 * [taylor]: Taking taylor expansion of N in N 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify 1 into 1 3.377 * [backup-simplify]: Simplify (/ 1 1) into 1 3.377 * [backup-simplify]: Simplify (- 1) into -1 3.377 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.377 * [backup-simplify]: Simplify (* 0 -1) into 0 3.378 * [backup-simplify]: Simplify (* -1 0) into 0 3.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.379 * [backup-simplify]: Simplify (- 0) into 0 3.379 * [backup-simplify]: Simplify (+ 1 0) into 1 3.379 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.380 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.380 * [backup-simplify]: Simplify (log 1) into 0 3.380 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 3.380 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.380 * [taylor]: Taking taylor expansion of -1 in N 3.380 * [backup-simplify]: Simplify -1 into -1 3.380 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.380 * [taylor]: Taking taylor expansion of N in N 3.380 * [backup-simplify]: Simplify 0 into 0 3.380 * [backup-simplify]: Simplify 1 into 1 3.380 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.380 * [taylor]: Taking taylor expansion of 1 in N 3.380 * [backup-simplify]: Simplify 1 into 1 3.380 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.380 * [taylor]: Taking taylor expansion of N in N 3.380 * [backup-simplify]: Simplify 0 into 0 3.380 * [backup-simplify]: Simplify 1 into 1 3.380 * [backup-simplify]: Simplify (/ 1 1) into 1 3.381 * [backup-simplify]: Simplify (- 1) into -1 3.381 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.381 * [backup-simplify]: Simplify (* 0 -1) into 0 3.381 * [backup-simplify]: Simplify (* -1 0) into 0 3.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.382 * [backup-simplify]: Simplify (- 0) into 0 3.382 * [backup-simplify]: Simplify (+ 1 0) into 1 3.383 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.383 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.383 * [backup-simplify]: Simplify (log 1) into 0 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.384 * [backup-simplify]: Simplify (- 0) into 0 3.385 * [backup-simplify]: Simplify (+ 0 0) into 0 3.385 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.386 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 3.387 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 3.387 * [backup-simplify]: Simplify -1 into -1 3.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.387 * [backup-simplify]: Simplify (- 0) into 0 3.388 * [backup-simplify]: Simplify (+ 0 0) into 0 3.388 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.389 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 3.391 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.391 * [backup-simplify]: Simplify -1/2 into -1/2 3.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.391 * [backup-simplify]: Simplify (- 0) into 0 3.392 * [backup-simplify]: Simplify (+ 0 0) into 0 3.393 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.395 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 3.402 * [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 3.402 * [backup-simplify]: Simplify -1/3 into -1/3 3.402 * [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)))) 3.402 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.403 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 3.403 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 3.403 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.403 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.403 * [taylor]: Taking taylor expansion of N in N 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify 1 into 1 3.403 * [taylor]: Taking taylor expansion of 1 in N 3.403 * [backup-simplify]: Simplify 1 into 1 3.403 * [taylor]: Taking taylor expansion of N in N 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify 1 into 1 3.404 * [backup-simplify]: Simplify (+ 0 1) into 1 3.404 * [backup-simplify]: Simplify (/ 1 1) into 1 3.404 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.404 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.404 * [taylor]: Taking taylor expansion of N in N 3.404 * [backup-simplify]: Simplify 0 into 0 3.404 * [backup-simplify]: Simplify 1 into 1 3.404 * [taylor]: Taking taylor expansion of 1 in N 3.404 * [backup-simplify]: Simplify 1 into 1 3.404 * [taylor]: Taking taylor expansion of N in N 3.404 * [backup-simplify]: Simplify 0 into 0 3.404 * [backup-simplify]: Simplify 1 into 1 3.405 * [backup-simplify]: Simplify (+ 0 1) into 1 3.405 * [backup-simplify]: Simplify (/ 1 1) into 1 3.405 * [backup-simplify]: Simplify 1 into 1 3.406 * [backup-simplify]: Simplify (+ 1 0) into 1 3.407 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.407 * [backup-simplify]: Simplify 1 into 1 3.407 * [backup-simplify]: Simplify (+ 0 0) into 0 3.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.408 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify (+ 0 0) into 0 3.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.409 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify (+ 0 0) into 0 3.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.410 * [backup-simplify]: Simplify 0 into 0 3.410 * [backup-simplify]: Simplify (+ 0 0) into 0 3.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.411 * [backup-simplify]: Simplify 0 into 0 3.411 * [backup-simplify]: Simplify (+ 0 0) into 0 3.412 * [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 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify (+ 0 0) into 0 3.413 * [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 3.413 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 3.413 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 3.413 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 3.413 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.413 * [taylor]: Taking taylor expansion of N in N 3.413 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify 1 into 1 3.413 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.413 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.413 * [taylor]: Taking taylor expansion of N in N 3.413 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify 1 into 1 3.413 * [backup-simplify]: Simplify (/ 1 1) into 1 3.413 * [taylor]: Taking taylor expansion of 1 in N 3.413 * [backup-simplify]: Simplify 1 into 1 3.413 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.413 * [taylor]: Taking taylor expansion of N in N 3.413 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify 1 into 1 3.413 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.413 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.413 * [taylor]: Taking taylor expansion of N in N 3.413 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify 1 into 1 3.414 * [backup-simplify]: Simplify (/ 1 1) into 1 3.414 * [taylor]: Taking taylor expansion of 1 in N 3.414 * [backup-simplify]: Simplify 1 into 1 3.414 * [backup-simplify]: Simplify (+ 1 0) into 1 3.414 * [backup-simplify]: Simplify (* 0 1) into 0 3.414 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.415 * [backup-simplify]: Simplify (+ 0 1) into 1 3.415 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.415 * [backup-simplify]: Simplify 1 into 1 3.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.416 * [backup-simplify]: Simplify (+ 0 0) into 0 3.417 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.417 * [backup-simplify]: Simplify 1 into 1 3.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.417 * [backup-simplify]: Simplify (+ 0 0) into 0 3.418 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.418 * [backup-simplify]: Simplify 0 into 0 3.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.419 * [backup-simplify]: Simplify (+ 0 0) into 0 3.419 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.419 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.420 * [backup-simplify]: Simplify (+ 0 0) into 0 3.421 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 3.421 * [backup-simplify]: Simplify 0 into 0 3.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.422 * [backup-simplify]: Simplify (+ 0 0) into 0 3.423 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 3.423 * [backup-simplify]: Simplify 0 into 0 3.423 * [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 3.424 * [backup-simplify]: Simplify (+ 0 0) into 0 3.425 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [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 3.425 * [backup-simplify]: Simplify (+ 0 0) into 0 3.426 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 3.426 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 3.427 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 3.427 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 3.427 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.427 * [taylor]: Taking taylor expansion of -1 in N 3.427 * [backup-simplify]: Simplify -1 into -1 3.427 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.427 * [taylor]: Taking taylor expansion of N in N 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify 1 into 1 3.427 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.427 * [taylor]: Taking taylor expansion of 1 in N 3.427 * [backup-simplify]: Simplify 1 into 1 3.427 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.427 * [taylor]: Taking taylor expansion of N in N 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify 1 into 1 3.427 * [backup-simplify]: Simplify (/ 1 1) into 1 3.427 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.427 * [taylor]: Taking taylor expansion of -1 in N 3.427 * [backup-simplify]: Simplify -1 into -1 3.427 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.427 * [taylor]: Taking taylor expansion of N in N 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify 1 into 1 3.427 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.427 * [taylor]: Taking taylor expansion of 1 in N 3.427 * [backup-simplify]: Simplify 1 into 1 3.427 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.427 * [taylor]: Taking taylor expansion of N in N 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify 1 into 1 3.428 * [backup-simplify]: Simplify (/ 1 1) into 1 3.428 * [backup-simplify]: Simplify (- 1) into -1 3.428 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.429 * [backup-simplify]: Simplify (* 0 -1) into 0 3.429 * [backup-simplify]: Simplify (* -1 0) into 0 3.429 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.430 * [backup-simplify]: Simplify (- 0) into 0 3.430 * [backup-simplify]: Simplify (+ 1 0) into 1 3.430 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.431 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.431 * [backup-simplify]: Simplify 1 into 1 3.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.432 * [backup-simplify]: Simplify (- 0) into 0 3.432 * [backup-simplify]: Simplify (+ 0 0) into 0 3.433 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.433 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 3.433 * [backup-simplify]: Simplify -1 into -1 3.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.434 * [backup-simplify]: Simplify (- 0) into 0 3.434 * [backup-simplify]: Simplify (+ 0 0) into 0 3.435 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.436 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 3.436 * [backup-simplify]: Simplify 0 into 0 3.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.437 * [backup-simplify]: Simplify (- 0) into 0 3.438 * [backup-simplify]: Simplify (+ 0 0) into 0 3.439 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.441 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 3.441 * [backup-simplify]: Simplify 0 into 0 3.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.443 * [backup-simplify]: Simplify (- 0) into 0 3.443 * [backup-simplify]: Simplify (+ 0 0) into 0 3.445 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 3.447 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 3.447 * [backup-simplify]: Simplify 0 into 0 3.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.448 * [backup-simplify]: Simplify (- 0) into 0 3.449 * [backup-simplify]: Simplify (+ 0 0) into 0 3.451 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 3.452 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 3.452 * [backup-simplify]: Simplify 0 into 0 3.453 * [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 3.453 * [backup-simplify]: Simplify (- 0) into 0 3.454 * [backup-simplify]: Simplify (+ 0 0) into 0 3.455 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 3.456 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 3.456 * [backup-simplify]: Simplify 0 into 0 3.457 * [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 3.457 * [backup-simplify]: Simplify (- 0) into 0 3.458 * [backup-simplify]: Simplify (+ 0 0) into 0 3.459 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 3.461 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 3.461 * [backup-simplify]: Simplify 0 into 0 3.461 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 3.461 * * * [progress]: simplifying candidates 3.461 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 3.461 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 3.461 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 3.461 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 3.461 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 3.461 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 3.461 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 3.461 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 3.461 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 3.461 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 3.461 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 3.461 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 3.461 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 3.462 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 3.462 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 3.462 * * * * [progress]: [ 16 / 72 ] simplifiying candidate # 3.462 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 3.462 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 3.462 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 3.462 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 3.462 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 3.462 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 3.462 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 3.462 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 3.462 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 3.462 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 3.462 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 3.462 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 3.462 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 3.462 * * * * [progress]: [ 30 / 72 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))> 3.462 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 3.462 * * * * [progress]: [ 32 / 72 ] simplifiying candidate # 3.462 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 3.462 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 3.462 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 3.463 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 3.463 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 3.463 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 3.463 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 3.463 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 3.463 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 3.463 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 3.463 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 3.463 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 3.463 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 3.463 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 3.463 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 3.463 * * * * [progress]: [ 48 / 72 ] simplifiying candidate # 3.463 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 3.463 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 3.463 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 3.463 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 3.463 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 3.463 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 3.463 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 3.463 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 3.463 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 3.463 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 3.463 * * * * [progress]: [ 59 / 72 ] simplifiying candidate # 3.463 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 3.464 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 3.464 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 3.464 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 3.464 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 3.464 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 3.464 * * * * [progress]: [ 66 / 72 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))> 3.464 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 3.464 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 3.464 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 3.464 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 3.464 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 3.464 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 3.465 * [simplify]: Simplifying: (expm1 (log (/ (+ 1 N) N))) (log1p (log (/ (+ 1 N) N))) (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1)) (log (/ (cbrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) 1)) (log (/ (sqrt (+ 1 N)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log 1) (log (/ (+ 1 N) N)) (log (+ 1 N)) (log (/ 1 N)) (log (+ 1 N)) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (exp (log (/ (+ 1 N) N))) (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N))) (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (real->posit16 (log (/ (+ 1 N) N))) (expm1 (/ (+ 1 N) N)) (log1p (/ (+ 1 N) N)) (- (log (+ 1 N)) (log N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (/ (* (* (+ 1 N) (+ 1 N)) (+ 1 N)) (* (* N N) N)) (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (- (+ 1 N)) (- N) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N)) (/ (cbrt (+ 1 N)) (sqrt N)) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1) (/ (cbrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) 1) (/ (sqrt (+ 1 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) (/ 1 1) (/ (+ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) (/ 1 1) (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (+ 1 N) (* (cbrt N) (cbrt N))) (/ (+ 1 N) (sqrt N)) (/ (+ 1 N) 1) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (* N (+ (* 1 1) (- (* N N) (* 1 N)))) (* N (- 1 N)) (real->posit16 (/ (+ 1 N) N)) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 3.466 * * [simplify]: iteration 0: 106 enodes 3.502 * * [simplify]: iteration 1: 244 enodes 3.587 * * [simplify]: iteration 2: 583 enodes 3.872 * * [simplify]: iteration 3: 2586 enodes 5.048 * * [simplify]: iteration complete: 5052 enodes 5.049 * * [simplify]: Extracting #0: cost 69 inf + 0 5.051 * * [simplify]: Extracting #1: cost 506 inf + 2 5.060 * * [simplify]: Extracting #2: cost 1571 inf + 6687 5.104 * * [simplify]: Extracting #3: cost 1134 inf + 97525 5.171 * * [simplify]: Extracting #4: cost 333 inf + 265722 5.228 * * [simplify]: Extracting #5: cost 4 inf + 366616 5.294 * * [simplify]: Extracting #6: cost 0 inf + 367906 5.353 * [simplify]: Simplified to: (expm1 (log (/ (+ 1 N) N))) (log1p (log (/ (+ 1 N) N))) (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (+ (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (cbrt (+ 1 N)) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N))))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (log (/ (cbrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) 0 (log (/ (+ 1 N) N)) (log1p N) (- (log N)) (log1p N) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (/ (+ 1 N) N) (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N))) (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (real->posit16 (log (/ (+ 1 N) N))) (expm1 (/ (+ 1 N) N)) (log1p (/ (+ 1 N) N)) (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (- -1 N) (- N) (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N)))) (/ (cbrt (+ 1 N)) (sqrt N)) (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ (cbrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (sqrt (+ 1 N)) (/ (sqrt (+ 1 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (+ 1 N) (* (cbrt N) (cbrt N))) (/ (+ 1 N) (sqrt N)) (+ 1 N) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (fma (- (* N N) N) N N) (* (- 1 N) N) (real->posit16 (/ (+ 1 N) N)) (- N (fma N (* N 1/2) (log N))) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 5.356 * * * [progress]: adding candidates to table 5.589 * * [progress]: iteration 3 / 4 5.590 * * * [progress]: picking best candidate 5.598 * * * * [pick]: Picked # 5.598 * * * [progress]: localizing error 5.615 * * * [progress]: generating rewritten candidates 5.615 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 5.638 * * * [progress]: generating series expansions 5.638 * * * * [progress]: [ 1 / 1 ] generating series at (2) 5.638 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 5.639 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 5.639 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.639 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.639 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.639 * [taylor]: Taking taylor expansion of N in N 5.639 * [backup-simplify]: Simplify 0 into 0 5.639 * [backup-simplify]: Simplify 1 into 1 5.639 * [backup-simplify]: Simplify (/ 1 1) into 1 5.639 * [taylor]: Taking taylor expansion of 1 in N 5.639 * [backup-simplify]: Simplify 1 into 1 5.640 * [backup-simplify]: Simplify (+ 1 0) into 1 5.640 * [backup-simplify]: Simplify (log 1) into 0 5.640 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 5.640 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.640 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.640 * [taylor]: Taking taylor expansion of N in N 5.640 * [backup-simplify]: Simplify 0 into 0 5.640 * [backup-simplify]: Simplify 1 into 1 5.641 * [backup-simplify]: Simplify (/ 1 1) into 1 5.641 * [taylor]: Taking taylor expansion of 1 in N 5.641 * [backup-simplify]: Simplify 1 into 1 5.641 * [backup-simplify]: Simplify (+ 1 0) into 1 5.642 * [backup-simplify]: Simplify (log 1) into 0 5.642 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.642 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.643 * [backup-simplify]: Simplify (+ 0 1) into 1 5.645 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.645 * [backup-simplify]: Simplify 1 into 1 5.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.646 * [backup-simplify]: Simplify (+ 0 0) into 0 5.649 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.649 * [backup-simplify]: Simplify -1/2 into -1/2 5.649 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 5.650 * [backup-simplify]: Simplify (log (+ (/ 1 (/ 1 N)) 1)) into (log (+ N 1)) 5.650 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 5.650 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.650 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.650 * [taylor]: Taking taylor expansion of N in N 5.650 * [backup-simplify]: Simplify 0 into 0 5.650 * [backup-simplify]: Simplify 1 into 1 5.650 * [taylor]: Taking taylor expansion of 1 in N 5.650 * [backup-simplify]: Simplify 1 into 1 5.650 * [backup-simplify]: Simplify (+ 0 1) into 1 5.651 * [backup-simplify]: Simplify (log 1) into 0 5.651 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 5.651 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.651 * [taylor]: Taking taylor expansion of N in N 5.651 * [backup-simplify]: Simplify 0 into 0 5.651 * [backup-simplify]: Simplify 1 into 1 5.651 * [taylor]: Taking taylor expansion of 1 in N 5.651 * [backup-simplify]: Simplify 1 into 1 5.651 * [backup-simplify]: Simplify (+ 0 1) into 1 5.652 * [backup-simplify]: Simplify (log 1) into 0 5.652 * [backup-simplify]: Simplify 0 into 0 5.652 * [backup-simplify]: Simplify (+ 1 0) into 1 5.653 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 5.653 * [backup-simplify]: Simplify 1 into 1 5.654 * [backup-simplify]: Simplify (+ 0 0) into 0 5.657 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.657 * [backup-simplify]: Simplify -1/2 into -1/2 5.657 * [backup-simplify]: Simplify (+ 0 0) into 0 5.662 * [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 5.662 * [backup-simplify]: Simplify 1/3 into 1/3 5.663 * [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)))) 5.663 * [backup-simplify]: Simplify (log (+ (/ 1 (/ 1 (- N))) 1)) into (log (- 1 N)) 5.663 * [approximate]: Taking taylor expansion of (log (- 1 N)) in (N) around 0 5.663 * [taylor]: Taking taylor expansion of (log (- 1 N)) in N 5.663 * [taylor]: Taking taylor expansion of (- 1 N) in N 5.663 * [taylor]: Taking taylor expansion of 1 in N 5.663 * [backup-simplify]: Simplify 1 into 1 5.663 * [taylor]: Taking taylor expansion of N in N 5.663 * [backup-simplify]: Simplify 0 into 0 5.663 * [backup-simplify]: Simplify 1 into 1 5.664 * [backup-simplify]: Simplify (- 0) into 0 5.664 * [backup-simplify]: Simplify (+ 1 0) into 1 5.664 * [backup-simplify]: Simplify (log 1) into 0 5.664 * [taylor]: Taking taylor expansion of (log (- 1 N)) in N 5.664 * [taylor]: Taking taylor expansion of (- 1 N) in N 5.665 * [taylor]: Taking taylor expansion of 1 in N 5.665 * [backup-simplify]: Simplify 1 into 1 5.665 * [taylor]: Taking taylor expansion of N in N 5.665 * [backup-simplify]: Simplify 0 into 0 5.665 * [backup-simplify]: Simplify 1 into 1 5.665 * [backup-simplify]: Simplify (- 0) into 0 5.665 * [backup-simplify]: Simplify (+ 1 0) into 1 5.666 * [backup-simplify]: Simplify (log 1) into 0 5.666 * [backup-simplify]: Simplify 0 into 0 5.666 * [backup-simplify]: Simplify (- 1) into -1 5.667 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.668 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 5.668 * [backup-simplify]: Simplify -1 into -1 5.668 * [backup-simplify]: Simplify (- 0) into 0 5.669 * [backup-simplify]: Simplify (+ 0 0) into 0 5.671 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 5.671 * [backup-simplify]: Simplify -1/2 into -1/2 5.672 * [backup-simplify]: Simplify (- 0) into 0 5.672 * [backup-simplify]: Simplify (+ 0 0) into 0 5.677 * [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 5.678 * [backup-simplify]: Simplify -1/3 into -1/3 5.678 * [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)))) 5.678 * * * [progress]: simplifying candidates 5.678 * * * * [progress]: [ 1 / 22 ] simplifiying candidate # 5.678 * * * * [progress]: [ 2 / 22 ] simplifiying candidate # 5.678 * * * * [progress]: [ 3 / 22 ] simplifiying candidate # 5.678 * * * * [progress]: [ 4 / 22 ] simplifiying candidate # 5.678 * * * * [progress]: [ 5 / 22 ] simplifiying candidate # 5.679 * * * * [progress]: [ 6 / 22 ] simplifiying candidate # 5.679 * * * * [progress]: [ 7 / 22 ] simplifiying candidate # 5.679 * * * * [progress]: [ 8 / 22 ] simplifiying candidate # 5.679 * * * * [progress]: [ 9 / 22 ] simplifiying candidate # 5.679 * * * * [progress]: [ 10 / 22 ] simplifiying candidate # 5.679 * * * * [progress]: [ 11 / 22 ] simplifiying candidate # 5.679 * * * * [progress]: [ 12 / 22 ] simplifiying candidate # 5.679 * * * * [progress]: [ 13 / 22 ] simplifiying candidate # 5.679 * * * * [progress]: [ 14 / 22 ] simplifiying candidate # 5.679 * * * * [progress]: [ 15 / 22 ] simplifiying candidate # 5.679 * * * * [progress]: [ 16 / 22 ] simplifiying candidate # 5.679 * * * * [progress]: [ 17 / 22 ] simplifiying candidate # 5.679 * * * * [progress]: [ 18 / 22 ] simplifiying candidate # 5.679 * * * * [progress]: [ 19 / 22 ] simplifiying candidate #real (real->posit16 (log (+ (/ 1 N) 1)))))> 5.679 * * * * [progress]: [ 20 / 22 ] simplifiying candidate # 5.679 * * * * [progress]: [ 21 / 22 ] simplifiying candidate # 5.679 * * * * [progress]: [ 22 / 22 ] simplifiying candidate # 5.680 * [simplify]: Simplifying: (expm1 (log (+ (/ 1 N) 1))) (log1p (log (+ (/ 1 N) 1))) (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1)))) (log (cbrt (+ (/ 1 N) 1))) (log (sqrt (+ (/ 1 N) 1))) (log (sqrt (+ (/ 1 N) 1))) (log 1) (log (+ (/ 1 N) 1)) (log 1) (log (+ (/ 1 N) 1)) (log 1) (log (+ (/ 1 N) 1)) (log (+ (pow (/ 1 N) 3) (pow 1 3))) (log (+ (* (/ 1 N) (/ 1 N)) (- (* 1 1) (* (/ 1 N) 1)))) (log (- (* (/ 1 N) (/ 1 N)) (* 1 1))) (log (- (/ 1 N) 1)) (log (+ (/ 1 N) 1)) (log (log (+ (/ 1 N) 1))) (exp (log (+ (/ 1 N) 1))) (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (log (+ (/ 1 N) 1)))) (cbrt (log (+ (/ 1 N) 1))) (* (* (log (+ (/ 1 N) 1)) (log (+ (/ 1 N) 1))) (log (+ (/ 1 N) 1))) (sqrt (log (+ (/ 1 N) 1))) (sqrt (log (+ (/ 1 N) 1))) (real->posit16 (log (+ (/ 1 N) 1))) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 5.681 * * [simplify]: iteration 0: 52 enodes 5.706 * * [simplify]: iteration 1: 113 enodes 5.777 * * [simplify]: iteration 2: 306 enodes 5.994 * * [simplify]: iteration 3: 908 enodes 6.922 * * [simplify]: iteration 4: 2305 enodes 8.219 * * [simplify]: iteration complete: 5002 enodes 8.219 * * [simplify]: Extracting #0: cost 20 inf + 0 8.220 * * [simplify]: Extracting #1: cost 242 inf + 1 8.227 * * [simplify]: Extracting #2: cost 854 inf + 3108 8.257 * * [simplify]: Extracting #3: cost 505 inf + 52023 8.309 * * [simplify]: Extracting #4: cost 238 inf + 100623 8.375 * * [simplify]: Extracting #5: cost 111 inf + 142787 8.444 * * [simplify]: Extracting #6: cost 9 inf + 181192 8.510 * * [simplify]: Extracting #7: cost 0 inf + 183720 8.557 * [simplify]: Simplified to: (/ 1 N) (log1p (log1p (/ 1 N))) (+ (log (cbrt (+ 1 (/ 1 N)))) (log (cbrt (+ 1 (/ 1 N))))) (log (cbrt (+ 1 (/ 1 N)))) (log (sqrt (+ 1 (/ 1 N)))) (log (sqrt (+ 1 (/ 1 N)))) 0 (log1p (/ 1 N)) 0 (log1p (/ 1 N)) 0 (log1p (/ 1 N)) (log (fma (/ 1 N) (/ (/ 1 N) N) 1)) (log (fma (/ 1 N) (/ 1 N) (- 1 (/ 1 N)))) (log (fma (/ 1 N) (/ 1 N) -1)) (log (- (/ 1 N) 1)) (log1p (/ 1 N)) (log (log1p (/ 1 N))) (+ 1 (/ 1 N)) (* (cbrt (log1p (/ 1 N))) (cbrt (log1p (/ 1 N)))) (cbrt (log1p (/ 1 N))) (* (* (log1p (/ 1 N)) (log1p (/ 1 N))) (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (real->posit16 (log1p (/ 1 N))) (fma (* N -1/2) N (- N (log N))) (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)) (fma (/ (/ 1 N) N) (+ (/ 1/3 N) -1/2) (/ 1 N)) 8.560 * * * [progress]: adding candidates to table 8.640 * * [progress]: iteration 4 / 4 8.640 * * * [progress]: picking best candidate 8.644 * * * * [pick]: Picked # 8.644 * * * [progress]: localizing error 8.649 * * * [progress]: generating rewritten candidates 8.649 * * * [progress]: generating series expansions 8.649 * * * [progress]: simplifying candidates 8.650 * [simplify]: Simplifying: 8.650 * * [simplify]: iteration 0: 0 enodes 8.650 * * [simplify]: iteration complete: 0 enodes 8.650 * * [simplify]: Extracting #0: cost 0 inf + 0 8.650 * [simplify]: Simplified to: 8.650 * * * [progress]: adding candidates to table 8.650 * [progress]: [Phase 3 of 3] Extracting. 8.652 * [simplify]: Simplifying: (log1p (/ 1 N)) 8.652 * * [simplify]: iteration 0: 4 enodes 8.652 * * [simplify]: iteration 1: 6 enodes 8.653 * * [simplify]: iteration complete: 6 enodes 8.653 * * [simplify]: Extracting #0: cost 1 inf + 0 8.653 * * [simplify]: Extracting #1: cost 2 inf + 0 8.653 * * [simplify]: Extracting #2: cost 4 inf + 0 8.653 * * [simplify]: Extracting #3: cost 2 inf + 2 8.653 * * [simplify]: Extracting #4: cost 0 inf + 176 8.653 * [simplify]: Simplified to: (log1p (/ 1 N)) 11.677 * [regime-testing]: Baseline error score: 0.01612535480929124 11.681 * [regime-testing]: Oracle error score: 0.01612535480929124 11.681 * [regime-testing]: End program error score: 0.01612535480929124