17.926 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.060 * * * [progress]: [2/2] Setting up program. 0.063 * [progress]: [Phase 2 of 3] Improving. 0.063 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.074 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.074 * * [simplify]: iteration 0: 6 enodes 0.075 * * [simplify]: iteration 1: 11 enodes 0.078 * * [simplify]: iteration 2: 13 enodes 0.082 * * [simplify]: iteration complete: 13 enodes 0.082 * * [simplify]: Extracting #0: cost 1 inf + 0 0.082 * * [simplify]: Extracting #1: cost 4 inf + 0 0.082 * * [simplify]: Extracting #2: cost 6 inf + 0 0.082 * * [simplify]: Extracting #3: cost 2 inf + 475 0.082 * * [simplify]: Extracting #4: cost 0 inf + 518 0.083 * [simplify]: Simplified to: (- (log1p N) (log N)) 0.089 * * [progress]: iteration 1 / 4 0.089 * * * [progress]: picking best candidate 0.092 * * * * [pick]: Picked # 0.092 * * * [progress]: localizing error 0.109 * * * [progress]: generating rewritten candidates 0.109 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.118 * * * [progress]: generating series expansions 0.118 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.118 * [backup-simplify]: Simplify (- (log1p N) (log N)) into (- (log1p N) (log N)) 0.118 * [approximate]: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0 0.118 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.118 * [taylor]: Taking taylor expansion of (log1p N) in N 0.119 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.119 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.119 * [taylor]: Taking taylor expansion of 1 in N 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [taylor]: Taking taylor expansion of N in N 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [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 0.121 * [backup-simplify]: Simplify (log 1) into 0 0.122 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.122 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.122 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.122 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.122 * [backup-simplify]: Simplify (+ 0 1) into 1 0.123 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.124 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.124 * [backup-simplify]: Simplify (- 0) into 0 0.124 * [backup-simplify]: Simplify (+ 1 0) into 1 0.124 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.128 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.128 * [backup-simplify]: Simplify (- 0) into 0 0.129 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.129 * [backup-simplify]: Simplify -1/2 into -1/2 0.129 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.129 * [backup-simplify]: Simplify (- (log1p (/ 1 N)) (log (/ 1 N))) into (- (log1p (/ 1 N)) (log (/ 1 N))) 0.129 * [approximate]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0 0.129 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.129 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.129 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.129 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.129 * [taylor]: Taking taylor expansion of 1 in N 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.129 * [taylor]: Taking taylor expansion of N in N 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (/ 1 1) into 1 0.130 * [backup-simplify]: Simplify (+ 0 1) into 1 0.130 * [backup-simplify]: Simplify (log 1) into 0 0.130 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.130 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.130 * [taylor]: Taking taylor expansion of N in N 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (/ 1 1) into 1 0.130 * [backup-simplify]: Simplify (log 1) into 0 0.130 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.130 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.131 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.131 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.131 * [taylor]: Taking taylor expansion of 1 in N 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.131 * [taylor]: Taking taylor expansion of N in N 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (/ 1 1) into 1 0.131 * [backup-simplify]: Simplify (+ 0 1) into 1 0.131 * [backup-simplify]: Simplify (log 1) into 0 0.131 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.131 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.131 * [taylor]: Taking taylor expansion of N in N 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [backup-simplify]: Simplify (log 1) into 0 0.132 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.133 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.133 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.133 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (+ 1 0) into 1 0.134 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.135 * [backup-simplify]: Simplify (- 0) into 0 0.136 * [backup-simplify]: Simplify (+ 1 0) into 1 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.140 * [backup-simplify]: Simplify (- 0) into 0 0.141 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.141 * [backup-simplify]: Simplify -1/2 into -1/2 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [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 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.147 * [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 0.148 * [backup-simplify]: Simplify (- 0) into 0 0.148 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.148 * [backup-simplify]: Simplify 1/3 into 1/3 0.148 * [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)))) 0.148 * [backup-simplify]: Simplify (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) into (- (log1p (/ -1 N)) (log (/ -1 N))) 0.148 * [approximate]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in (N) around 0 0.148 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.148 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.149 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.149 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.149 * [taylor]: Taking taylor expansion of 1 in N 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.149 * [taylor]: Taking taylor expansion of -1 in N 0.149 * [backup-simplify]: Simplify -1 into -1 0.149 * [taylor]: Taking taylor expansion of N in N 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (/ -1 1) into -1 0.149 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.149 * [backup-simplify]: Simplify (log -1) into (log -1) 0.149 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.150 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.150 * [taylor]: Taking taylor expansion of -1 in N 0.150 * [backup-simplify]: Simplify -1 into -1 0.150 * [taylor]: Taking taylor expansion of N in N 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (/ -1 1) into -1 0.150 * [backup-simplify]: Simplify (log -1) into (log -1) 0.150 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.150 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.150 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.150 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.150 * [taylor]: Taking taylor expansion of 1 in N 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.150 * [taylor]: Taking taylor expansion of -1 in N 0.150 * [backup-simplify]: Simplify -1 into -1 0.150 * [taylor]: Taking taylor expansion of N in N 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (/ -1 1) into -1 0.151 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.151 * [backup-simplify]: Simplify (log -1) into (log -1) 0.151 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.151 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.151 * [taylor]: Taking taylor expansion of -1 in N 0.151 * [backup-simplify]: Simplify -1 into -1 0.151 * [taylor]: Taking taylor expansion of N in N 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (/ -1 1) into -1 0.152 * [backup-simplify]: Simplify (log -1) into (log -1) 0.152 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.153 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.153 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.154 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ 1 0) into 1 0.155 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.157 * [backup-simplify]: Simplify (- 0) into 0 0.157 * [backup-simplify]: Simplify (+ -1 0) into -1 0.157 * [backup-simplify]: Simplify -1 into -1 0.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.162 * [backup-simplify]: Simplify (- 0) into 0 0.162 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.162 * [backup-simplify]: Simplify -1/2 into -1/2 0.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [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 0.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -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 0.175 * [backup-simplify]: Simplify (- 0) into 0 0.176 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.176 * [backup-simplify]: Simplify -1/3 into -1/3 0.176 * [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)))) 0.176 * * * [progress]: simplifying candidates 0.176 * * * * [progress]: [ 1 / 40 ] simplifiying candidate # 0.176 * * * * [progress]: [ 2 / 40 ] simplifiying candidate # 0.176 * * * * [progress]: [ 3 / 40 ] simplifiying candidate # 0.176 * * * * [progress]: [ 4 / 40 ] simplifiying candidate # 0.176 * * * * [progress]: [ 5 / 40 ] simplifiying candidate # 0.176 * * * * [progress]: [ 6 / 40 ] simplifiying candidate # 0.176 * * * * [progress]: [ 7 / 40 ] simplifiying candidate # 0.176 * * * * [progress]: [ 8 / 40 ] simplifiying candidate # 0.176 * * * * [progress]: [ 9 / 40 ] simplifiying candidate # 0.176 * * * * [progress]: [ 10 / 40 ] simplifiying candidate # 0.176 * * * * [progress]: [ 11 / 40 ] simplifiying candidate # 0.177 * * * * [progress]: [ 12 / 40 ] simplifiying candidate # 0.177 * * * * [progress]: [ 13 / 40 ] simplifiying candidate # 0.177 * * * * [progress]: [ 14 / 40 ] simplifiying candidate # 0.177 * * * * [progress]: [ 15 / 40 ] simplifiying candidate # 0.177 * * * * [progress]: [ 16 / 40 ] simplifiying candidate # 0.177 * * * * [progress]: [ 17 / 40 ] simplifiying candidate # 0.177 * * * * [progress]: [ 18 / 40 ] simplifiying candidate # 0.177 * * * * [progress]: [ 19 / 40 ] simplifiying candidate # 0.177 * * * * [progress]: [ 20 / 40 ] simplifiying candidate # 0.177 * * * * [progress]: [ 21 / 40 ] simplifiying candidate # 0.177 * * * * [progress]: [ 22 / 40 ] simplifiying candidate # 0.177 * * * * [progress]: [ 23 / 40 ] simplifiying candidate # 0.177 * * * * [progress]: [ 24 / 40 ] simplifiying candidate # 0.177 * * * * [progress]: [ 25 / 40 ] simplifiying candidate # 0.177 * * * * [progress]: [ 26 / 40 ] simplifiying candidate # 0.177 * * * * [progress]: [ 27 / 40 ] simplifiying candidate # 0.177 * * * * [progress]: [ 28 / 40 ] simplifiying candidate # 0.177 * * * * [progress]: [ 29 / 40 ] simplifiying candidate # 0.177 * * * * [progress]: [ 30 / 40 ] simplifiying candidate # 0.177 * * * * [progress]: [ 31 / 40 ] simplifiying candidate # 0.177 * * * * [progress]: [ 32 / 40 ] simplifiying candidate # 0.177 * * * * [progress]: [ 33 / 40 ] simplifiying candidate # 0.177 * * * * [progress]: [ 34 / 40 ] simplifiying candidate # 0.177 * * * * [progress]: [ 35 / 40 ] simplifiying candidate # 0.177 * * * * [progress]: [ 36 / 40 ] simplifiying candidate # 0.177 * * * * [progress]: [ 37 / 40 ] simplifiying candidate #real (real->posit16 (- (log1p N) (log N)))))> 0.177 * * * * [progress]: [ 38 / 40 ] simplifiying candidate # 0.177 * * * * [progress]: [ 39 / 40 ] simplifiying candidate # 0.177 * * * * [progress]: [ 40 / 40 ] simplifiying candidate # 0.178 * [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)))) 0.179 * * [simplify]: iteration 0: 83 enodes 0.205 * * [simplify]: iteration 1: 185 enodes 0.297 * * [simplify]: iteration 2: 403 enodes 0.500 * * [simplify]: iteration 3: 1137 enodes 1.801 * * [simplify]: iteration 4: 4052 enodes 2.832 * * [simplify]: iteration complete: 5000 enodes 2.832 * * [simplify]: Extracting #0: cost 24 inf + 0 2.835 * * [simplify]: Extracting #1: cost 367 inf + 1 2.847 * * [simplify]: Extracting #2: cost 718 inf + 11427 2.883 * * [simplify]: Extracting #3: cost 498 inf + 68470 2.949 * * [simplify]: Extracting #4: cost 180 inf + 156770 3.021 * * [simplify]: Extracting #5: cost 7 inf + 229146 3.111 * * [simplify]: Extracting #6: cost 0 inf + 232781 3.190 * [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)) 3.192 * * * [progress]: adding candidates to table 3.282 * * [progress]: iteration 2 / 4 3.282 * * * [progress]: picking best candidate 3.288 * * * * [pick]: Picked # 3.288 * * * [progress]: localizing error 3.303 * * * [progress]: generating rewritten candidates 3.303 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.310 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.325 * * * [progress]: generating series expansions 3.325 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.325 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 3.325 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 3.325 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.325 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.325 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.325 * [taylor]: Taking taylor expansion of N in N 3.325 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify 1 into 1 3.325 * [taylor]: Taking taylor expansion of 1 in N 3.325 * [backup-simplify]: Simplify 1 into 1 3.325 * [taylor]: Taking taylor expansion of N in N 3.325 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify 1 into 1 3.325 * [backup-simplify]: Simplify (+ 0 1) into 1 3.326 * [backup-simplify]: Simplify (/ 1 1) into 1 3.326 * [backup-simplify]: Simplify (log 1) into 0 3.326 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 3.326 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.326 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.326 * [taylor]: Taking taylor expansion of N in N 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify 1 into 1 3.326 * [taylor]: Taking taylor expansion of 1 in N 3.326 * [backup-simplify]: Simplify 1 into 1 3.326 * [taylor]: Taking taylor expansion of N in N 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify 1 into 1 3.326 * [backup-simplify]: Simplify (+ 0 1) into 1 3.327 * [backup-simplify]: Simplify (/ 1 1) into 1 3.327 * [backup-simplify]: Simplify (log 1) into 0 3.327 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.327 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 3.328 * [backup-simplify]: Simplify (+ 1 0) into 1 3.328 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.329 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.329 * [backup-simplify]: Simplify 1 into 1 3.329 * [backup-simplify]: Simplify (+ 0 0) into 0 3.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.331 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.331 * [backup-simplify]: Simplify -1/2 into -1/2 3.331 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 3.332 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 3.332 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 3.332 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.332 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.332 * [taylor]: Taking taylor expansion of N in N 3.332 * [backup-simplify]: Simplify 0 into 0 3.332 * [backup-simplify]: Simplify 1 into 1 3.332 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.332 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.332 * [taylor]: Taking taylor expansion of N in N 3.332 * [backup-simplify]: Simplify 0 into 0 3.332 * [backup-simplify]: Simplify 1 into 1 3.332 * [backup-simplify]: Simplify (/ 1 1) into 1 3.332 * [taylor]: Taking taylor expansion of 1 in N 3.332 * [backup-simplify]: Simplify 1 into 1 3.332 * [backup-simplify]: Simplify (+ 1 0) into 1 3.333 * [backup-simplify]: Simplify (* 0 1) into 0 3.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.333 * [backup-simplify]: Simplify (+ 0 1) into 1 3.334 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.334 * [backup-simplify]: Simplify (log 1) into 0 3.334 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 3.334 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.334 * [taylor]: Taking taylor expansion of N in N 3.334 * [backup-simplify]: Simplify 0 into 0 3.334 * [backup-simplify]: Simplify 1 into 1 3.334 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.334 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.334 * [taylor]: Taking taylor expansion of N in N 3.334 * [backup-simplify]: Simplify 0 into 0 3.334 * [backup-simplify]: Simplify 1 into 1 3.338 * [backup-simplify]: Simplify (/ 1 1) into 1 3.338 * [taylor]: Taking taylor expansion of 1 in N 3.338 * [backup-simplify]: Simplify 1 into 1 3.338 * [backup-simplify]: Simplify (+ 1 0) into 1 3.339 * [backup-simplify]: Simplify (* 0 1) into 0 3.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.340 * [backup-simplify]: Simplify (+ 0 1) into 1 3.341 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.341 * [backup-simplify]: Simplify (log 1) into 0 3.341 * [backup-simplify]: Simplify 0 into 0 3.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.343 * [backup-simplify]: Simplify (+ 0 0) into 0 3.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.345 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 3.345 * [backup-simplify]: Simplify 1 into 1 3.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.346 * [backup-simplify]: Simplify (+ 0 0) into 0 3.347 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.350 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.350 * [backup-simplify]: Simplify -1/2 into -1/2 3.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.352 * [backup-simplify]: Simplify (+ 0 0) into 0 3.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.355 * [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 3.355 * [backup-simplify]: Simplify 1/3 into 1/3 3.355 * [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)))) 3.355 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 3.355 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 3.355 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 3.355 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.355 * [taylor]: Taking taylor expansion of -1 in N 3.356 * [backup-simplify]: Simplify -1 into -1 3.356 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.356 * [taylor]: Taking taylor expansion of N in N 3.356 * [backup-simplify]: Simplify 0 into 0 3.356 * [backup-simplify]: Simplify 1 into 1 3.356 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.356 * [taylor]: Taking taylor expansion of 1 in N 3.356 * [backup-simplify]: Simplify 1 into 1 3.356 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.356 * [taylor]: Taking taylor expansion of N in N 3.356 * [backup-simplify]: Simplify 0 into 0 3.356 * [backup-simplify]: Simplify 1 into 1 3.356 * [backup-simplify]: Simplify (/ 1 1) into 1 3.356 * [backup-simplify]: Simplify (- 1) into -1 3.356 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.357 * [backup-simplify]: Simplify (* 0 -1) into 0 3.357 * [backup-simplify]: Simplify (* -1 0) into 0 3.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.358 * [backup-simplify]: Simplify (- 0) into 0 3.358 * [backup-simplify]: Simplify (+ 1 0) into 1 3.358 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.359 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.359 * [backup-simplify]: Simplify (log 1) into 0 3.359 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 3.359 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.359 * [taylor]: Taking taylor expansion of -1 in N 3.359 * [backup-simplify]: Simplify -1 into -1 3.359 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.359 * [taylor]: Taking taylor expansion of N in N 3.359 * [backup-simplify]: Simplify 0 into 0 3.359 * [backup-simplify]: Simplify 1 into 1 3.359 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.359 * [taylor]: Taking taylor expansion of 1 in N 3.359 * [backup-simplify]: Simplify 1 into 1 3.359 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.359 * [taylor]: Taking taylor expansion of N in N 3.359 * [backup-simplify]: Simplify 0 into 0 3.359 * [backup-simplify]: Simplify 1 into 1 3.359 * [backup-simplify]: Simplify (/ 1 1) into 1 3.360 * [backup-simplify]: Simplify (- 1) into -1 3.360 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.360 * [backup-simplify]: Simplify (* 0 -1) into 0 3.360 * [backup-simplify]: Simplify (* -1 0) into 0 3.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.361 * [backup-simplify]: Simplify (- 0) into 0 3.361 * [backup-simplify]: Simplify (+ 1 0) into 1 3.362 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.362 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.362 * [backup-simplify]: Simplify (log 1) into 0 3.362 * [backup-simplify]: Simplify 0 into 0 3.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.363 * [backup-simplify]: Simplify (- 0) into 0 3.363 * [backup-simplify]: Simplify (+ 0 0) into 0 3.364 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.364 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 3.365 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 3.365 * [backup-simplify]: Simplify -1 into -1 3.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.366 * [backup-simplify]: Simplify (- 0) into 0 3.366 * [backup-simplify]: Simplify (+ 0 0) into 0 3.367 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.368 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 3.369 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 3.369 * [backup-simplify]: Simplify -1/2 into -1/2 3.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.370 * [backup-simplify]: Simplify (- 0) into 0 3.370 * [backup-simplify]: Simplify (+ 0 0) into 0 3.371 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.372 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 3.374 * [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 3.374 * [backup-simplify]: Simplify -1/3 into -1/3 3.375 * [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)))) 3.375 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.375 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 3.375 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 3.375 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.375 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.375 * [taylor]: Taking taylor expansion of N in N 3.375 * [backup-simplify]: Simplify 0 into 0 3.375 * [backup-simplify]: Simplify 1 into 1 3.375 * [taylor]: Taking taylor expansion of 1 in N 3.375 * [backup-simplify]: Simplify 1 into 1 3.375 * [taylor]: Taking taylor expansion of N in N 3.375 * [backup-simplify]: Simplify 0 into 0 3.375 * [backup-simplify]: Simplify 1 into 1 3.375 * [backup-simplify]: Simplify (+ 0 1) into 1 3.375 * [backup-simplify]: Simplify (/ 1 1) into 1 3.375 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 3.375 * [taylor]: Taking taylor expansion of (+ N 1) in N 3.375 * [taylor]: Taking taylor expansion of N in N 3.375 * [backup-simplify]: Simplify 0 into 0 3.375 * [backup-simplify]: Simplify 1 into 1 3.375 * [taylor]: Taking taylor expansion of 1 in N 3.375 * [backup-simplify]: Simplify 1 into 1 3.375 * [taylor]: Taking taylor expansion of N in N 3.375 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify 1 into 1 3.376 * [backup-simplify]: Simplify (+ 0 1) into 1 3.376 * [backup-simplify]: Simplify (/ 1 1) into 1 3.376 * [backup-simplify]: Simplify 1 into 1 3.376 * [backup-simplify]: Simplify (+ 1 0) into 1 3.377 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 3.377 * [backup-simplify]: Simplify 1 into 1 3.377 * [backup-simplify]: Simplify (+ 0 0) into 0 3.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.378 * [backup-simplify]: Simplify 0 into 0 3.378 * [backup-simplify]: Simplify (+ 0 0) into 0 3.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.378 * [backup-simplify]: Simplify 0 into 0 3.379 * [backup-simplify]: Simplify (+ 0 0) into 0 3.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.379 * [backup-simplify]: Simplify 0 into 0 3.380 * [backup-simplify]: Simplify (+ 0 0) into 0 3.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.381 * [backup-simplify]: Simplify 0 into 0 3.381 * [backup-simplify]: Simplify (+ 0 0) into 0 3.382 * [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 3.382 * [backup-simplify]: Simplify 0 into 0 3.382 * [backup-simplify]: Simplify (+ 0 0) into 0 3.383 * [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 3.383 * [backup-simplify]: Simplify 0 into 0 3.383 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 3.384 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 3.384 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 3.384 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.384 * [taylor]: Taking taylor expansion of N in N 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify 1 into 1 3.384 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.384 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.384 * [taylor]: Taking taylor expansion of N in N 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify 1 into 1 3.384 * [backup-simplify]: Simplify (/ 1 1) into 1 3.384 * [taylor]: Taking taylor expansion of 1 in N 3.384 * [backup-simplify]: Simplify 1 into 1 3.384 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 3.384 * [taylor]: Taking taylor expansion of N in N 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify 1 into 1 3.384 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 3.384 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.384 * [taylor]: Taking taylor expansion of N in N 3.384 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify 1 into 1 3.385 * [backup-simplify]: Simplify (/ 1 1) into 1 3.385 * [taylor]: Taking taylor expansion of 1 in N 3.385 * [backup-simplify]: Simplify 1 into 1 3.385 * [backup-simplify]: Simplify (+ 1 0) into 1 3.386 * [backup-simplify]: Simplify (* 0 1) into 0 3.386 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.387 * [backup-simplify]: Simplify (+ 0 1) into 1 3.388 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 3.388 * [backup-simplify]: Simplify 1 into 1 3.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.389 * [backup-simplify]: Simplify (+ 0 0) into 0 3.390 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 3.390 * [backup-simplify]: Simplify 1 into 1 3.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.391 * [backup-simplify]: Simplify (+ 0 0) into 0 3.392 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 3.392 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.393 * [backup-simplify]: Simplify (+ 0 0) into 0 3.395 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.395 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.396 * [backup-simplify]: Simplify (+ 0 0) into 0 3.397 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 3.397 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.399 * [backup-simplify]: Simplify (+ 0 0) into 0 3.400 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 3.400 * [backup-simplify]: Simplify 0 into 0 3.401 * [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 3.402 * [backup-simplify]: Simplify (+ 0 0) into 0 3.403 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 3.403 * [backup-simplify]: Simplify 0 into 0 3.404 * [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 3.405 * [backup-simplify]: Simplify (+ 0 0) into 0 3.407 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 3.407 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 3.407 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 3.407 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 3.407 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.407 * [taylor]: Taking taylor expansion of -1 in N 3.407 * [backup-simplify]: Simplify -1 into -1 3.407 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.407 * [taylor]: Taking taylor expansion of N in N 3.407 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify 1 into 1 3.407 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.407 * [taylor]: Taking taylor expansion of 1 in N 3.407 * [backup-simplify]: Simplify 1 into 1 3.407 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.407 * [taylor]: Taking taylor expansion of N in N 3.407 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify 1 into 1 3.408 * [backup-simplify]: Simplify (/ 1 1) into 1 3.408 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.408 * [taylor]: Taking taylor expansion of -1 in N 3.408 * [backup-simplify]: Simplify -1 into -1 3.408 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.408 * [taylor]: Taking taylor expansion of N in N 3.408 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify 1 into 1 3.408 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.408 * [taylor]: Taking taylor expansion of 1 in N 3.408 * [backup-simplify]: Simplify 1 into 1 3.408 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.408 * [taylor]: Taking taylor expansion of N in N 3.408 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify 1 into 1 3.409 * [backup-simplify]: Simplify (/ 1 1) into 1 3.409 * [backup-simplify]: Simplify (- 1) into -1 3.409 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.410 * [backup-simplify]: Simplify (* 0 -1) into 0 3.410 * [backup-simplify]: Simplify (* -1 0) into 0 3.410 * [backup-simplify]: Simplify 0 into 0 3.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.412 * [backup-simplify]: Simplify (- 0) into 0 3.412 * [backup-simplify]: Simplify (+ 1 0) into 1 3.413 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.414 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.414 * [backup-simplify]: Simplify 1 into 1 3.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.415 * [backup-simplify]: Simplify (- 0) into 0 3.415 * [backup-simplify]: Simplify (+ 0 0) into 0 3.416 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.417 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 3.417 * [backup-simplify]: Simplify -1 into -1 3.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.419 * [backup-simplify]: Simplify (- 0) into 0 3.419 * [backup-simplify]: Simplify (+ 0 0) into 0 3.420 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.421 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 3.422 * [backup-simplify]: Simplify 0 into 0 3.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.423 * [backup-simplify]: Simplify (- 0) into 0 3.423 * [backup-simplify]: Simplify (+ 0 0) into 0 3.425 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.426 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 3.426 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.427 * [backup-simplify]: Simplify (- 0) into 0 3.428 * [backup-simplify]: Simplify (+ 0 0) into 0 3.430 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 3.431 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 3.431 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.433 * [backup-simplify]: Simplify (- 0) into 0 3.433 * [backup-simplify]: Simplify (+ 0 0) into 0 3.435 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 3.436 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 3.437 * [backup-simplify]: Simplify 0 into 0 3.438 * [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 3.438 * [backup-simplify]: Simplify (- 0) into 0 3.438 * [backup-simplify]: Simplify (+ 0 0) into 0 3.440 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 3.443 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 3.443 * [backup-simplify]: Simplify 0 into 0 3.444 * [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 3.444 * [backup-simplify]: Simplify (- 0) into 0 3.445 * [backup-simplify]: Simplify (+ 0 0) into 0 3.447 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 3.449 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 3.449 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 3.450 * * * [progress]: simplifying candidates 3.450 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 3.450 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 3.450 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 3.450 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 3.450 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 3.450 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 3.450 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 3.450 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 3.450 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 3.450 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 3.450 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 3.450 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 3.450 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 3.450 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 3.450 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 3.450 * * * * [progress]: [ 16 / 72 ] simplifiying candidate # 3.451 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 3.451 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 3.451 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 3.451 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 3.451 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 3.451 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 3.451 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 3.451 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 3.451 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 3.451 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 3.451 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 3.451 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 3.451 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 3.451 * * * * [progress]: [ 30 / 72 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))> 3.451 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 3.451 * * * * [progress]: [ 32 / 72 ] simplifiying candidate # 3.451 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 3.451 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 3.451 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 3.452 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 3.452 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 3.452 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 3.452 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 3.452 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 3.452 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 3.452 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 3.452 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 3.452 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 3.452 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 3.452 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 3.452 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 3.452 * * * * [progress]: [ 48 / 72 ] simplifiying candidate # 3.452 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 3.452 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 3.452 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 3.452 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 3.452 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 3.452 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 3.453 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 3.453 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 3.453 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 3.453 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 3.453 * * * * [progress]: [ 59 / 72 ] simplifiying candidate # 3.453 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 3.453 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 3.453 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 3.453 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 3.453 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 3.453 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 3.453 * * * * [progress]: [ 66 / 72 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))> 3.453 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 3.453 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 3.453 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 3.453 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 3.453 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 3.453 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 3.455 * [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) 3.456 * * [simplify]: iteration 0: 106 enodes 3.509 * * [simplify]: iteration 1: 244 enodes 3.630 * * [simplify]: iteration 2: 583 enodes 3.917 * * [simplify]: iteration 3: 2586 enodes 5.164 * * [simplify]: iteration complete: 5052 enodes 5.164 * * [simplify]: Extracting #0: cost 69 inf + 0 5.165 * * [simplify]: Extracting #1: cost 506 inf + 2 5.170 * * [simplify]: Extracting #2: cost 1571 inf + 6687 5.199 * * [simplify]: Extracting #3: cost 1134 inf + 97525 5.251 * * [simplify]: Extracting #4: cost 333 inf + 265722 5.321 * * [simplify]: Extracting #5: cost 4 inf + 366616 5.397 * * [simplify]: Extracting #6: cost 0 inf + 367906 5.455 * [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) 5.458 * * * [progress]: adding candidates to table 5.679 * * [progress]: iteration 3 / 4 5.679 * * * [progress]: picking best candidate 5.692 * * * * [pick]: Picked # 5.693 * * * [progress]: localizing error 5.728 * * * [progress]: generating rewritten candidates 5.728 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.736 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 5.763 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 5.783 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 5.797 * * * [progress]: generating series expansions 5.797 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.797 * [backup-simplify]: Simplify (log (sqrt (+ 1 N))) into (log (sqrt (+ N 1))) 5.797 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1))) in (N) around 0 5.797 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 5.798 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.798 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.798 * [taylor]: Taking taylor expansion of N in N 5.798 * [backup-simplify]: Simplify 0 into 0 5.798 * [backup-simplify]: Simplify 1 into 1 5.798 * [taylor]: Taking taylor expansion of 1 in N 5.798 * [backup-simplify]: Simplify 1 into 1 5.799 * [backup-simplify]: Simplify (+ 0 1) into 1 5.799 * [backup-simplify]: Simplify (sqrt 1) into 1 5.800 * [backup-simplify]: Simplify (+ 1 0) into 1 5.800 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.801 * [backup-simplify]: Simplify (log 1) into 0 5.801 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 5.801 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.801 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.801 * [taylor]: Taking taylor expansion of N in N 5.801 * [backup-simplify]: Simplify 0 into 0 5.801 * [backup-simplify]: Simplify 1 into 1 5.801 * [taylor]: Taking taylor expansion of 1 in N 5.801 * [backup-simplify]: Simplify 1 into 1 5.801 * [backup-simplify]: Simplify (+ 0 1) into 1 5.802 * [backup-simplify]: Simplify (sqrt 1) into 1 5.802 * [backup-simplify]: Simplify (+ 1 0) into 1 5.803 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.803 * [backup-simplify]: Simplify (log 1) into 0 5.804 * [backup-simplify]: Simplify 0 into 0 5.806 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 5.806 * [backup-simplify]: Simplify 1/2 into 1/2 5.806 * [backup-simplify]: Simplify (+ 0 0) into 0 5.807 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.811 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.811 * [backup-simplify]: Simplify -1/4 into -1/4 5.811 * [backup-simplify]: Simplify (+ 0 0) into 0 5.818 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 5.824 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 5.824 * [backup-simplify]: Simplify 1/6 into 1/6 5.825 * [backup-simplify]: Simplify (+ (* 1/6 (pow N 3)) (+ (* -1/4 (pow N 2)) (* 1/2 N))) into (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) 5.825 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 N)))) into (log (sqrt (+ (/ 1 N) 1))) 5.825 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in (N) around 0 5.825 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 5.825 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.826 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.826 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.826 * [taylor]: Taking taylor expansion of N in N 5.826 * [backup-simplify]: Simplify 0 into 0 5.826 * [backup-simplify]: Simplify 1 into 1 5.826 * [backup-simplify]: Simplify (/ 1 1) into 1 5.826 * [taylor]: Taking taylor expansion of 1 in N 5.826 * [backup-simplify]: Simplify 1 into 1 5.827 * [backup-simplify]: Simplify (+ 1 0) into 1 5.827 * [backup-simplify]: Simplify (sqrt 0) into 0 5.828 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.828 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.828 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 5.828 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.828 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.828 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.828 * [taylor]: Taking taylor expansion of N in N 5.828 * [backup-simplify]: Simplify 0 into 0 5.828 * [backup-simplify]: Simplify 1 into 1 5.829 * [backup-simplify]: Simplify (/ 1 1) into 1 5.829 * [taylor]: Taking taylor expansion of 1 in N 5.829 * [backup-simplify]: Simplify 1 into 1 5.829 * [backup-simplify]: Simplify (+ 1 0) into 1 5.829 * [backup-simplify]: Simplify (sqrt 0) into 0 5.830 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.830 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.831 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.831 * [backup-simplify]: Simplify (+ 0 1) into 1 5.833 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.837 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.837 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.838 * [backup-simplify]: Simplify (+ 0 0) into 0 5.840 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.848 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 5.848 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.848 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.848 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 (- N))))) into (log (sqrt (- 1 (/ 1 N)))) 5.848 * [approximate]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in (N) around 0 5.848 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 5.848 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.848 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.848 * [taylor]: Taking taylor expansion of 1 in N 5.848 * [backup-simplify]: Simplify 1 into 1 5.848 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.848 * [taylor]: Taking taylor expansion of N in N 5.848 * [backup-simplify]: Simplify 0 into 0 5.848 * [backup-simplify]: Simplify 1 into 1 5.849 * [backup-simplify]: Simplify (/ 1 1) into 1 5.849 * [backup-simplify]: Simplify (- 1) into -1 5.849 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.849 * [backup-simplify]: Simplify (sqrt 0) into 0 5.850 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.850 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.850 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 5.850 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.850 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.850 * [taylor]: Taking taylor expansion of 1 in N 5.850 * [backup-simplify]: Simplify 1 into 1 5.850 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.850 * [taylor]: Taking taylor expansion of N in N 5.850 * [backup-simplify]: Simplify 0 into 0 5.850 * [backup-simplify]: Simplify 1 into 1 5.851 * [backup-simplify]: Simplify (/ 1 1) into 1 5.851 * [backup-simplify]: Simplify (- 1) into -1 5.851 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.851 * [backup-simplify]: Simplify (sqrt 0) into 0 5.852 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.852 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.853 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.853 * [backup-simplify]: Simplify (- 0) into 0 5.854 * [backup-simplify]: Simplify (+ 1 0) into 1 5.856 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.859 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.859 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.860 * [backup-simplify]: Simplify (- 0) into 0 5.860 * [backup-simplify]: Simplify (+ 0 0) into 0 5.862 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.870 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 5.870 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.871 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.871 * * * * [progress]: [ 2 / 4 ] generating series at (2) 5.871 * [backup-simplify]: Simplify (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) into (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) 5.871 * [approximate]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in (N) around 0 5.871 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in N 5.871 * [taylor]: Taking taylor expansion of (log (* (sqrt (+ N 1)) (/ 1 N))) in N 5.871 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 5.871 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.871 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.871 * [taylor]: Taking taylor expansion of N in N 5.871 * [backup-simplify]: Simplify 0 into 0 5.871 * [backup-simplify]: Simplify 1 into 1 5.871 * [taylor]: Taking taylor expansion of 1 in N 5.871 * [backup-simplify]: Simplify 1 into 1 5.872 * [backup-simplify]: Simplify (+ 0 1) into 1 5.872 * [backup-simplify]: Simplify (sqrt 1) into 1 5.872 * [backup-simplify]: Simplify (+ 1 0) into 1 5.873 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.873 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.873 * [taylor]: Taking taylor expansion of N in N 5.873 * [backup-simplify]: Simplify 0 into 0 5.873 * [backup-simplify]: Simplify 1 into 1 5.873 * [backup-simplify]: Simplify (/ 1 1) into 1 5.873 * [backup-simplify]: Simplify (* 1 1) into 1 5.873 * [backup-simplify]: Simplify (log 1) into 0 5.873 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 5.873 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.873 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.873 * [taylor]: Taking taylor expansion of N in N 5.874 * [backup-simplify]: Simplify 0 into 0 5.874 * [backup-simplify]: Simplify 1 into 1 5.874 * [taylor]: Taking taylor expansion of 1 in N 5.874 * [backup-simplify]: Simplify 1 into 1 5.874 * [backup-simplify]: Simplify (+ 0 1) into 1 5.874 * [backup-simplify]: Simplify (sqrt 1) into 1 5.874 * [backup-simplify]: Simplify (+ 1 0) into 1 5.875 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.875 * [backup-simplify]: Simplify (log 1) into 0 5.875 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in N 5.875 * [taylor]: Taking taylor expansion of (log (* (sqrt (+ N 1)) (/ 1 N))) in N 5.875 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 5.875 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.875 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.875 * [taylor]: Taking taylor expansion of N in N 5.875 * [backup-simplify]: Simplify 0 into 0 5.875 * [backup-simplify]: Simplify 1 into 1 5.875 * [taylor]: Taking taylor expansion of 1 in N 5.875 * [backup-simplify]: Simplify 1 into 1 5.876 * [backup-simplify]: Simplify (+ 0 1) into 1 5.876 * [backup-simplify]: Simplify (sqrt 1) into 1 5.876 * [backup-simplify]: Simplify (+ 1 0) into 1 5.876 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.876 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.876 * [taylor]: Taking taylor expansion of N in N 5.877 * [backup-simplify]: Simplify 0 into 0 5.877 * [backup-simplify]: Simplify 1 into 1 5.877 * [backup-simplify]: Simplify (/ 1 1) into 1 5.877 * [backup-simplify]: Simplify (* 1 1) into 1 5.877 * [backup-simplify]: Simplify (log 1) into 0 5.877 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 5.877 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.877 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.877 * [taylor]: Taking taylor expansion of N in N 5.877 * [backup-simplify]: Simplify 0 into 0 5.877 * [backup-simplify]: Simplify 1 into 1 5.877 * [taylor]: Taking taylor expansion of 1 in N 5.877 * [backup-simplify]: Simplify 1 into 1 5.878 * [backup-simplify]: Simplify (+ 0 1) into 1 5.878 * [backup-simplify]: Simplify (sqrt 1) into 1 5.878 * [backup-simplify]: Simplify (+ 1 0) into 1 5.878 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.879 * [backup-simplify]: Simplify (log 1) into 0 5.879 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.879 * [backup-simplify]: Simplify (+ (- (log N)) 0) into (- (log N)) 5.879 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 1/2 1)) into 1/2 5.881 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 5.882 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 5.882 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 5.882 * [backup-simplify]: Simplify 1 into 1 5.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.883 * [backup-simplify]: Simplify (+ 0 0) into 0 5.883 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1/2 0) (* -1/8 1))) into -1/8 5.885 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.886 * [backup-simplify]: Simplify (+ 0 0) into 0 5.886 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.888 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.889 * [backup-simplify]: Simplify (+ -1/4 -1/4) into -1/2 5.889 * [backup-simplify]: Simplify -1/2 into -1/2 5.889 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 5.889 * [backup-simplify]: Simplify (+ (log (sqrt (+ 1 (/ 1 N)))) (log (/ (sqrt (+ 1 (/ 1 N))) (/ 1 N)))) into (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) 5.890 * [approximate]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in (N) around 0 5.890 * [taylor]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in N 5.890 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1)))) in N 5.890 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 5.890 * [taylor]: Taking taylor expansion of N in N 5.890 * [backup-simplify]: Simplify 0 into 0 5.890 * [backup-simplify]: Simplify 1 into 1 5.890 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.890 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.890 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.890 * [taylor]: Taking taylor expansion of N in N 5.890 * [backup-simplify]: Simplify 0 into 0 5.890 * [backup-simplify]: Simplify 1 into 1 5.890 * [backup-simplify]: Simplify (/ 1 1) into 1 5.890 * [taylor]: Taking taylor expansion of 1 in N 5.890 * [backup-simplify]: Simplify 1 into 1 5.891 * [backup-simplify]: Simplify (+ 1 0) into 1 5.891 * [backup-simplify]: Simplify (sqrt 0) into 0 5.893 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.893 * [backup-simplify]: Simplify (* 0 0) into 0 5.894 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.895 * [backup-simplify]: Simplify (+ 0 1) into 1 5.898 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.901 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.902 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.902 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 5.902 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.902 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.902 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.902 * [taylor]: Taking taylor expansion of N in N 5.902 * [backup-simplify]: Simplify 0 into 0 5.902 * [backup-simplify]: Simplify 1 into 1 5.902 * [backup-simplify]: Simplify (/ 1 1) into 1 5.902 * [taylor]: Taking taylor expansion of 1 in N 5.902 * [backup-simplify]: Simplify 1 into 1 5.903 * [backup-simplify]: Simplify (+ 1 0) into 1 5.903 * [backup-simplify]: Simplify (sqrt 0) into 0 5.905 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.905 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.905 * [taylor]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in N 5.905 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1)))) in N 5.905 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 5.905 * [taylor]: Taking taylor expansion of N in N 5.905 * [backup-simplify]: Simplify 0 into 0 5.905 * [backup-simplify]: Simplify 1 into 1 5.905 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.905 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.905 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.905 * [taylor]: Taking taylor expansion of N in N 5.905 * [backup-simplify]: Simplify 0 into 0 5.905 * [backup-simplify]: Simplify 1 into 1 5.906 * [backup-simplify]: Simplify (/ 1 1) into 1 5.906 * [taylor]: Taking taylor expansion of 1 in N 5.906 * [backup-simplify]: Simplify 1 into 1 5.906 * [backup-simplify]: Simplify (+ 1 0) into 1 5.907 * [backup-simplify]: Simplify (sqrt 0) into 0 5.908 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.908 * [backup-simplify]: Simplify (* 0 0) into 0 5.909 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.910 * [backup-simplify]: Simplify (+ 0 1) into 1 5.913 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.922 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.923 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.923 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 5.923 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.923 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.923 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.923 * [taylor]: Taking taylor expansion of N in N 5.923 * [backup-simplify]: Simplify 0 into 0 5.923 * [backup-simplify]: Simplify 1 into 1 5.924 * [backup-simplify]: Simplify (/ 1 1) into 1 5.924 * [taylor]: Taking taylor expansion of 1 in N 5.924 * [backup-simplify]: Simplify 1 into 1 5.924 * [backup-simplify]: Simplify (+ 1 0) into 1 5.925 * [backup-simplify]: Simplify (sqrt 0) into 0 5.926 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.927 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.928 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 5.929 * [backup-simplify]: Simplify (+ (+ (log (- +nan.0)) (log N)) (log +nan.0)) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 5.930 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 5.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.932 * [backup-simplify]: Simplify (+ 0 0) into 0 5.936 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.938 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.942 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 5.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.943 * [backup-simplify]: Simplify (+ 0 1) into 1 5.945 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.948 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.948 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.949 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.949 * [backup-simplify]: Simplify (+ 0 0) into 0 5.952 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.954 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.964 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 5.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.965 * [backup-simplify]: Simplify (+ 0 0) into 0 5.967 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.981 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 5.982 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.982 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.984 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (- +nan.0)) (+ (log (/ 1 N)) (log +nan.0))))) into (- (+ (log (/ 1 N)) (+ (log +nan.0) (log (- +nan.0)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.985 * [backup-simplify]: Simplify (+ (log (sqrt (+ 1 (/ 1 (- N))))) (log (/ (sqrt (+ 1 (/ 1 (- N)))) (/ 1 (- N))))) into (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) 5.985 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in (N) around 0 5.985 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in N 5.985 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 5.985 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.985 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.985 * [taylor]: Taking taylor expansion of 1 in N 5.985 * [backup-simplify]: Simplify 1 into 1 5.985 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.985 * [taylor]: Taking taylor expansion of N in N 5.985 * [backup-simplify]: Simplify 0 into 0 5.985 * [backup-simplify]: Simplify 1 into 1 5.985 * [backup-simplify]: Simplify (/ 1 1) into 1 5.986 * [backup-simplify]: Simplify (- 1) into -1 5.986 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.986 * [backup-simplify]: Simplify (sqrt 0) into 0 5.988 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.988 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.988 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1 (/ 1 N)))))) in N 5.988 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 5.988 * [taylor]: Taking taylor expansion of -1 in N 5.988 * [backup-simplify]: Simplify -1 into -1 5.988 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 5.988 * [taylor]: Taking taylor expansion of N in N 5.988 * [backup-simplify]: Simplify 0 into 0 5.988 * [backup-simplify]: Simplify 1 into 1 5.988 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.988 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.988 * [taylor]: Taking taylor expansion of 1 in N 5.988 * [backup-simplify]: Simplify 1 into 1 5.988 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.988 * [taylor]: Taking taylor expansion of N in N 5.988 * [backup-simplify]: Simplify 0 into 0 5.988 * [backup-simplify]: Simplify 1 into 1 5.988 * [backup-simplify]: Simplify (/ 1 1) into 1 5.989 * [backup-simplify]: Simplify (- 1) into -1 5.989 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.989 * [backup-simplify]: Simplify (sqrt 0) into 0 5.990 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.990 * [backup-simplify]: Simplify (* 0 0) into 0 5.990 * [backup-simplify]: Simplify (* -1 0) into 0 5.991 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.991 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 5.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.992 * [backup-simplify]: Simplify (- 0) into 0 5.992 * [backup-simplify]: Simplify (+ 1 0) into 1 5.994 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.995 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.997 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 5.997 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.997 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in N 5.997 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 5.997 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.997 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.997 * [taylor]: Taking taylor expansion of 1 in N 5.997 * [backup-simplify]: Simplify 1 into 1 5.997 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.997 * [taylor]: Taking taylor expansion of N in N 5.997 * [backup-simplify]: Simplify 0 into 0 5.997 * [backup-simplify]: Simplify 1 into 1 5.998 * [backup-simplify]: Simplify (/ 1 1) into 1 5.998 * [backup-simplify]: Simplify (- 1) into -1 5.998 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.998 * [backup-simplify]: Simplify (sqrt 0) into 0 5.999 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.999 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.999 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1 (/ 1 N)))))) in N 5.999 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 5.999 * [taylor]: Taking taylor expansion of -1 in N 5.999 * [backup-simplify]: Simplify -1 into -1 5.999 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 5.999 * [taylor]: Taking taylor expansion of N in N 6.000 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify 1 into 1 6.000 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 6.000 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.000 * [taylor]: Taking taylor expansion of 1 in N 6.000 * [backup-simplify]: Simplify 1 into 1 6.000 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.000 * [taylor]: Taking taylor expansion of N in N 6.000 * [backup-simplify]: Simplify 0 into 0 6.000 * [backup-simplify]: Simplify 1 into 1 6.000 * [backup-simplify]: Simplify (/ 1 1) into 1 6.000 * [backup-simplify]: Simplify (- 1) into -1 6.000 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.001 * [backup-simplify]: Simplify (sqrt 0) into 0 6.001 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.002 * [backup-simplify]: Simplify (* 0 0) into 0 6.002 * [backup-simplify]: Simplify (* -1 0) into 0 6.002 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 6.003 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 6.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.003 * [backup-simplify]: Simplify (- 0) into 0 6.004 * [backup-simplify]: Simplify (+ 1 0) into 1 6.005 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.007 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 6.008 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 6.009 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 6.010 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 6.010 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 6.011 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 6.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.012 * [backup-simplify]: Simplify (- 0) into 0 6.012 * [backup-simplify]: Simplify (+ 1 0) into 1 6.014 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.022 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 6.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.023 * [backup-simplify]: Simplify (- 0) into 0 6.023 * [backup-simplify]: Simplify (+ 0 0) into 0 6.025 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.028 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 6.029 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 6.034 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 6.034 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.034 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.035 * [backup-simplify]: Simplify (- 0) into 0 6.035 * [backup-simplify]: Simplify (+ 0 0) into 0 6.038 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.051 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 6.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.052 * [backup-simplify]: Simplify (- 0) into 0 6.052 * [backup-simplify]: Simplify (+ 0 0) into 0 6.058 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.062 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 6.065 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 6.075 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 6.076 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 6.076 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.077 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 (- N))))))) into (- (+ (log (/ -1 N)) (+ (log (- +nan.0)) (log +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 6.078 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 6.078 * [backup-simplify]: Simplify (/ (sqrt (+ 1 N)) N) into (* (sqrt (+ N 1)) (/ 1 N)) 6.078 * [approximate]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in (N) around 0 6.078 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 6.078 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 6.078 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.078 * [taylor]: Taking taylor expansion of N in N 6.078 * [backup-simplify]: Simplify 0 into 0 6.078 * [backup-simplify]: Simplify 1 into 1 6.078 * [taylor]: Taking taylor expansion of 1 in N 6.078 * [backup-simplify]: Simplify 1 into 1 6.078 * [backup-simplify]: Simplify (+ 0 1) into 1 6.078 * [backup-simplify]: Simplify (sqrt 1) into 1 6.079 * [backup-simplify]: Simplify (+ 1 0) into 1 6.079 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 6.079 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.079 * [taylor]: Taking taylor expansion of N in N 6.079 * [backup-simplify]: Simplify 0 into 0 6.079 * [backup-simplify]: Simplify 1 into 1 6.079 * [backup-simplify]: Simplify (/ 1 1) into 1 6.079 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 6.079 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 6.079 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.079 * [taylor]: Taking taylor expansion of N in N 6.079 * [backup-simplify]: Simplify 0 into 0 6.079 * [backup-simplify]: Simplify 1 into 1 6.079 * [taylor]: Taking taylor expansion of 1 in N 6.079 * [backup-simplify]: Simplify 1 into 1 6.080 * [backup-simplify]: Simplify (+ 0 1) into 1 6.080 * [backup-simplify]: Simplify (sqrt 1) into 1 6.080 * [backup-simplify]: Simplify (+ 1 0) into 1 6.081 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 6.081 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.081 * [taylor]: Taking taylor expansion of N in N 6.081 * [backup-simplify]: Simplify 0 into 0 6.081 * [backup-simplify]: Simplify 1 into 1 6.081 * [backup-simplify]: Simplify (/ 1 1) into 1 6.081 * [backup-simplify]: Simplify (* 1 1) into 1 6.081 * [backup-simplify]: Simplify 1 into 1 6.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 1/2 1)) into 1/2 6.082 * [backup-simplify]: Simplify 1/2 into 1/2 6.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.083 * [backup-simplify]: Simplify (+ 0 0) into 0 6.084 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 6.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1/2 0) (* -1/8 1))) into -1/8 6.084 * [backup-simplify]: Simplify -1/8 into -1/8 6.084 * [backup-simplify]: Simplify (+ (* -1/8 N) (+ 1/2 (* 1 (/ 1 N)))) into (- (+ (/ 1 N) 1/2) (* 1/8 N)) 6.085 * [backup-simplify]: Simplify (/ (sqrt (+ 1 (/ 1 N))) (/ 1 N)) into (* N (sqrt (+ (/ 1 N) 1))) 6.085 * [approximate]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in (N) around 0 6.085 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 6.085 * [taylor]: Taking taylor expansion of N in N 6.085 * [backup-simplify]: Simplify 0 into 0 6.085 * [backup-simplify]: Simplify 1 into 1 6.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 6.085 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.085 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.085 * [taylor]: Taking taylor expansion of N in N 6.085 * [backup-simplify]: Simplify 0 into 0 6.085 * [backup-simplify]: Simplify 1 into 1 6.085 * [backup-simplify]: Simplify (/ 1 1) into 1 6.085 * [taylor]: Taking taylor expansion of 1 in N 6.085 * [backup-simplify]: Simplify 1 into 1 6.085 * [backup-simplify]: Simplify (+ 1 0) into 1 6.085 * [backup-simplify]: Simplify (sqrt 0) into 0 6.086 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.086 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 6.086 * [taylor]: Taking taylor expansion of N in N 6.086 * [backup-simplify]: Simplify 0 into 0 6.086 * [backup-simplify]: Simplify 1 into 1 6.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 6.086 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.086 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.086 * [taylor]: Taking taylor expansion of N in N 6.086 * [backup-simplify]: Simplify 0 into 0 6.086 * [backup-simplify]: Simplify 1 into 1 6.087 * [backup-simplify]: Simplify (/ 1 1) into 1 6.087 * [taylor]: Taking taylor expansion of 1 in N 6.087 * [backup-simplify]: Simplify 1 into 1 6.087 * [backup-simplify]: Simplify (+ 1 0) into 1 6.087 * [backup-simplify]: Simplify (sqrt 0) into 0 6.088 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.088 * [backup-simplify]: Simplify (* 0 0) into 0 6.088 * [backup-simplify]: Simplify 0 into 0 6.089 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 6.089 * [backup-simplify]: Simplify 0 into 0 6.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.090 * [backup-simplify]: Simplify (+ 0 1) into 1 6.091 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.093 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 6.093 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.094 * [backup-simplify]: Simplify (+ 0 0) into 0 6.097 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.100 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 6.100 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.102 * [backup-simplify]: Simplify (+ 0 0) into 0 6.106 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.110 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 6.110 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.112 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 3)) (+ (* (- +nan.0) (pow (/ 1 N) 2)) (* (- +nan.0) (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 6.112 * [backup-simplify]: Simplify (/ (sqrt (+ 1 (/ 1 (- N)))) (/ 1 (- N))) into (* -1 (* N (sqrt (- 1 (/ 1 N))))) 6.112 * [approximate]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in (N) around 0 6.112 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 6.112 * [taylor]: Taking taylor expansion of -1 in N 6.112 * [backup-simplify]: Simplify -1 into -1 6.112 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 6.112 * [taylor]: Taking taylor expansion of N in N 6.112 * [backup-simplify]: Simplify 0 into 0 6.112 * [backup-simplify]: Simplify 1 into 1 6.112 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 6.112 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.112 * [taylor]: Taking taylor expansion of 1 in N 6.112 * [backup-simplify]: Simplify 1 into 1 6.112 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.112 * [taylor]: Taking taylor expansion of N in N 6.112 * [backup-simplify]: Simplify 0 into 0 6.112 * [backup-simplify]: Simplify 1 into 1 6.113 * [backup-simplify]: Simplify (/ 1 1) into 1 6.113 * [backup-simplify]: Simplify (- 1) into -1 6.113 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.114 * [backup-simplify]: Simplify (sqrt 0) into 0 6.115 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.115 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 6.115 * [taylor]: Taking taylor expansion of -1 in N 6.115 * [backup-simplify]: Simplify -1 into -1 6.115 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 6.115 * [taylor]: Taking taylor expansion of N in N 6.115 * [backup-simplify]: Simplify 0 into 0 6.115 * [backup-simplify]: Simplify 1 into 1 6.115 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 6.115 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.115 * [taylor]: Taking taylor expansion of 1 in N 6.115 * [backup-simplify]: Simplify 1 into 1 6.115 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.115 * [taylor]: Taking taylor expansion of N in N 6.115 * [backup-simplify]: Simplify 0 into 0 6.115 * [backup-simplify]: Simplify 1 into 1 6.116 * [backup-simplify]: Simplify (/ 1 1) into 1 6.116 * [backup-simplify]: Simplify (- 1) into -1 6.116 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.117 * [backup-simplify]: Simplify (sqrt 0) into 0 6.118 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.118 * [backup-simplify]: Simplify (* 0 0) into 0 6.119 * [backup-simplify]: Simplify (* -1 0) into 0 6.119 * [backup-simplify]: Simplify 0 into 0 6.120 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 6.125 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 6.125 * [backup-simplify]: Simplify 0 into 0 6.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.127 * [backup-simplify]: Simplify (- 0) into 0 6.127 * [backup-simplify]: Simplify (+ 1 0) into 1 6.130 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.133 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 6.135 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 6.136 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.137 * [backup-simplify]: Simplify (- 0) into 0 6.137 * [backup-simplify]: Simplify (+ 0 0) into 0 6.141 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.145 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 6.148 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 6.148 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.149 * [backup-simplify]: Simplify (- 0) into 0 6.150 * [backup-simplify]: Simplify (+ 0 0) into 0 6.154 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.158 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 6.161 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 6.161 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.163 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 3)) (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (* (- +nan.0) (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 6.163 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 6.163 * [backup-simplify]: Simplify (sqrt (+ 1 N)) into (sqrt (+ N 1)) 6.163 * [approximate]: Taking taylor expansion of (sqrt (+ N 1)) in (N) around 0 6.163 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 6.163 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.163 * [taylor]: Taking taylor expansion of N in N 6.163 * [backup-simplify]: Simplify 0 into 0 6.163 * [backup-simplify]: Simplify 1 into 1 6.163 * [taylor]: Taking taylor expansion of 1 in N 6.163 * [backup-simplify]: Simplify 1 into 1 6.164 * [backup-simplify]: Simplify (+ 0 1) into 1 6.164 * [backup-simplify]: Simplify (sqrt 1) into 1 6.164 * [backup-simplify]: Simplify (+ 1 0) into 1 6.165 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 6.165 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 6.165 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.165 * [taylor]: Taking taylor expansion of N in N 6.165 * [backup-simplify]: Simplify 0 into 0 6.165 * [backup-simplify]: Simplify 1 into 1 6.165 * [taylor]: Taking taylor expansion of 1 in N 6.165 * [backup-simplify]: Simplify 1 into 1 6.166 * [backup-simplify]: Simplify (+ 0 1) into 1 6.166 * [backup-simplify]: Simplify (sqrt 1) into 1 6.166 * [backup-simplify]: Simplify (+ 1 0) into 1 6.167 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 6.167 * [backup-simplify]: Simplify 1 into 1 6.167 * [backup-simplify]: Simplify 1/2 into 1/2 6.168 * [backup-simplify]: Simplify (+ 0 0) into 0 6.169 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 6.169 * [backup-simplify]: Simplify -1/8 into -1/8 6.169 * [backup-simplify]: Simplify (+ (* -1/8 (pow N 2)) (+ (* 1/2 N) 1)) into (- (+ (* 1/2 N) 1) (* 1/8 (pow N 2))) 6.169 * [backup-simplify]: Simplify (sqrt (+ 1 (/ 1 N))) into (sqrt (+ (/ 1 N) 1)) 6.169 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in (N) around 0 6.169 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 6.169 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.169 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.169 * [taylor]: Taking taylor expansion of N in N 6.169 * [backup-simplify]: Simplify 0 into 0 6.169 * [backup-simplify]: Simplify 1 into 1 6.170 * [backup-simplify]: Simplify (/ 1 1) into 1 6.170 * [taylor]: Taking taylor expansion of 1 in N 6.170 * [backup-simplify]: Simplify 1 into 1 6.170 * [backup-simplify]: Simplify (+ 1 0) into 1 6.170 * [backup-simplify]: Simplify (sqrt 0) into 0 6.172 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.172 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 6.172 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.172 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.172 * [taylor]: Taking taylor expansion of N in N 6.172 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify 1 into 1 6.172 * [backup-simplify]: Simplify (/ 1 1) into 1 6.172 * [taylor]: Taking taylor expansion of 1 in N 6.172 * [backup-simplify]: Simplify 1 into 1 6.173 * [backup-simplify]: Simplify (+ 1 0) into 1 6.173 * [backup-simplify]: Simplify (sqrt 0) into 0 6.174 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.174 * [backup-simplify]: Simplify 0 into 0 6.174 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.176 * [backup-simplify]: Simplify (+ 0 1) into 1 6.179 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.179 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.180 * [backup-simplify]: Simplify (+ 0 0) into 0 6.184 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.184 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.184 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 N) 2)) (+ (* +nan.0 (/ 1 N)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 6.184 * [backup-simplify]: Simplify (sqrt (+ 1 (/ 1 (- N)))) into (sqrt (- 1 (/ 1 N))) 6.185 * [approximate]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in (N) around 0 6.185 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 6.185 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.185 * [taylor]: Taking taylor expansion of 1 in N 6.185 * [backup-simplify]: Simplify 1 into 1 6.185 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.185 * [taylor]: Taking taylor expansion of N in N 6.185 * [backup-simplify]: Simplify 0 into 0 6.185 * [backup-simplify]: Simplify 1 into 1 6.185 * [backup-simplify]: Simplify (/ 1 1) into 1 6.185 * [backup-simplify]: Simplify (- 1) into -1 6.186 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.186 * [backup-simplify]: Simplify (sqrt 0) into 0 6.187 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.187 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 6.188 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.188 * [taylor]: Taking taylor expansion of 1 in N 6.188 * [backup-simplify]: Simplify 1 into 1 6.188 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.188 * [taylor]: Taking taylor expansion of N in N 6.188 * [backup-simplify]: Simplify 0 into 0 6.188 * [backup-simplify]: Simplify 1 into 1 6.188 * [backup-simplify]: Simplify (/ 1 1) into 1 6.188 * [backup-simplify]: Simplify (- 1) into -1 6.189 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.189 * [backup-simplify]: Simplify (sqrt 0) into 0 6.190 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.190 * [backup-simplify]: Simplify 0 into 0 6.191 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.192 * [backup-simplify]: Simplify (- 0) into 0 6.192 * [backup-simplify]: Simplify (+ 1 0) into 1 6.195 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.195 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.196 * [backup-simplify]: Simplify (- 0) into 0 6.197 * [backup-simplify]: Simplify (+ 0 0) into 0 6.200 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.200 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.201 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 6.201 * * * [progress]: simplifying candidates 6.201 * * * * [progress]: [ 1 / 164 ] simplifiying candidate # 6.201 * * * * [progress]: [ 2 / 164 ] simplifiying candidate # 6.201 * * * * [progress]: [ 3 / 164 ] simplifiying candidate # 6.201 * * * * [progress]: [ 4 / 164 ] simplifiying candidate # 6.201 * * * * [progress]: [ 5 / 164 ] simplifiying candidate # 6.201 * * * * [progress]: [ 6 / 164 ] simplifiying candidate # 6.201 * * * * [progress]: [ 7 / 164 ] simplifiying candidate # 6.201 * * * * [progress]: [ 8 / 164 ] simplifiying candidate # 6.201 * * * * [progress]: [ 9 / 164 ] simplifiying candidate # 6.201 * * * * [progress]: [ 10 / 164 ] simplifiying candidate # 6.201 * * * * [progress]: [ 11 / 164 ] simplifiying candidate # 6.201 * * * * [progress]: [ 12 / 164 ] simplifiying candidate # 6.202 * * * * [progress]: [ 13 / 164 ] simplifiying candidate # 6.202 * * * * [progress]: [ 14 / 164 ] simplifiying candidate # 6.202 * * * * [progress]: [ 15 / 164 ] simplifiying candidate # 6.202 * * * * [progress]: [ 16 / 164 ] simplifiying candidate # 6.202 * * * * [progress]: [ 17 / 164 ] simplifiying candidate # 6.202 * * * * [progress]: [ 18 / 164 ] simplifiying candidate # 6.202 * * * * [progress]: [ 19 / 164 ] simplifiying candidate # 6.202 * * * * [progress]: [ 20 / 164 ] simplifiying candidate # 6.202 * * * * [progress]: [ 21 / 164 ] simplifiying candidate # 6.202 * * * * [progress]: [ 22 / 164 ] simplifiying candidate # 6.202 * * * * [progress]: [ 23 / 164 ] simplifiying candidate #real (real->posit16 (log (sqrt (+ 1 N))))) (log (/ (sqrt (+ 1 N)) N))))> 6.202 * * * * [progress]: [ 24 / 164 ] simplifiying candidate # 6.202 * * * * [progress]: [ 25 / 164 ] simplifiying candidate # 6.202 * * * * [progress]: [ 26 / 164 ] simplifiying candidate # 6.202 * * * * [progress]: [ 27 / 164 ] simplifiying candidate # 6.202 * * * * [progress]: [ 28 / 164 ] simplifiying candidate # 6.202 * * * * [progress]: [ 29 / 164 ] simplifiying candidate # 6.202 * * * * [progress]: [ 30 / 164 ] simplifiying candidate # 6.203 * * * * [progress]: [ 31 / 164 ] simplifiying candidate # 6.203 * * * * [progress]: [ 32 / 164 ] simplifiying candidate # 6.203 * * * * [progress]: [ 33 / 164 ] simplifiying candidate # 6.203 * * * * [progress]: [ 34 / 164 ] simplifiying candidate # 6.203 * * * * [progress]: [ 35 / 164 ] simplifiying candidate # 6.203 * * * * [progress]: [ 36 / 164 ] simplifiying candidate # 6.203 * * * * [progress]: [ 37 / 164 ] simplifiying candidate # 6.203 * * * * [progress]: [ 38 / 164 ] simplifiying candidate # 6.203 * * * * [progress]: [ 39 / 164 ] simplifiying candidate # 6.203 * * * * [progress]: [ 40 / 164 ] simplifiying candidate # 6.203 * * * * [progress]: [ 41 / 164 ] simplifiying candidate # 6.203 * * * * [progress]: [ 42 / 164 ] simplifiying candidate # 6.203 * * * * [progress]: [ 43 / 164 ] simplifiying candidate # 6.203 * * * * [progress]: [ 44 / 164 ] simplifiying candidate # 6.203 * * * * [progress]: [ 45 / 164 ] simplifiying candidate # 6.203 * * * * [progress]: [ 46 / 164 ] simplifiying candidate # 6.204 * * * * [progress]: [ 47 / 164 ] simplifiying candidate # 6.204 * * * * [progress]: [ 48 / 164 ] simplifiying candidate # 6.204 * * * * [progress]: [ 49 / 164 ] simplifiying candidate # 6.204 * * * * [progress]: [ 50 / 164 ] simplifiying candidate # 6.204 * * * * [progress]: [ 51 / 164 ] simplifiying candidate # 6.204 * * * * [progress]: [ 52 / 164 ] simplifiying candidate # 6.204 * * * * [progress]: [ 53 / 164 ] simplifiying candidate # 6.204 * * * * [progress]: [ 54 / 164 ] simplifiying candidate # 6.204 * * * * [progress]: [ 55 / 164 ] simplifiying candidate # 6.204 * * * * [progress]: [ 56 / 164 ] simplifiying candidate # 6.204 * * * * [progress]: [ 57 / 164 ] simplifiying candidate # 6.204 * * * * [progress]: [ 58 / 164 ] simplifiying candidate # 6.204 * * * * [progress]: [ 59 / 164 ] simplifiying candidate # 6.205 * * * * [progress]: [ 60 / 164 ] simplifiying candidate # 6.205 * * * * [progress]: [ 61 / 164 ] simplifiying candidate # 6.205 * * * * [progress]: [ 62 / 164 ] simplifiying candidate # 6.205 * * * * [progress]: [ 63 / 164 ] simplifiying candidate # 6.205 * * * * [progress]: [ 64 / 164 ] simplifiying candidate # 6.205 * * * * [progress]: [ 65 / 164 ] simplifiying candidate # 6.205 * * * * [progress]: [ 66 / 164 ] simplifiying candidate # 6.205 * * * * [progress]: [ 67 / 164 ] simplifiying candidate # 6.205 * * * * [progress]: [ 68 / 164 ] simplifiying candidate # 6.205 * * * * [progress]: [ 69 / 164 ] simplifiying candidate # 6.205 * * * * [progress]: [ 70 / 164 ] simplifiying candidate # 6.205 * * * * [progress]: [ 71 / 164 ] simplifiying candidate # 6.205 * * * * [progress]: [ 72 / 164 ] simplifiying candidate # 6.205 * * * * [progress]: [ 73 / 164 ] simplifiying candidate # 6.206 * * * * [progress]: [ 74 / 164 ] simplifiying candidate # 6.206 * * * * [progress]: [ 75 / 164 ] simplifiying candidate # 6.206 * * * * [progress]: [ 76 / 164 ] simplifiying candidate # 6.206 * * * * [progress]: [ 77 / 164 ] simplifiying candidate # 6.206 * * * * [progress]: [ 78 / 164 ] simplifiying candidate # 6.206 * * * * [progress]: [ 79 / 164 ] simplifiying candidate # 6.206 * * * * [progress]: [ 80 / 164 ] simplifiying candidate # 6.206 * * * * [progress]: [ 81 / 164 ] simplifiying candidate #real (real->posit16 (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))))> 6.206 * * * * [progress]: [ 82 / 164 ] simplifiying candidate # 6.206 * * * * [progress]: [ 83 / 164 ] simplifiying candidate # 6.206 * * * * [progress]: [ 84 / 164 ] simplifiying candidate # 6.206 * * * * [progress]: [ 85 / 164 ] simplifiying candidate # 6.206 * * * * [progress]: [ 86 / 164 ] simplifiying candidate # 6.206 * * * * [progress]: [ 87 / 164 ] simplifiying candidate # 6.206 * * * * [progress]: [ 88 / 164 ] simplifiying candidate # 6.207 * * * * [progress]: [ 89 / 164 ] simplifiying candidate # 6.207 * * * * [progress]: [ 90 / 164 ] simplifiying candidate # 6.207 * * * * [progress]: [ 91 / 164 ] simplifiying candidate # 6.207 * * * * [progress]: [ 92 / 164 ] simplifiying candidate # 6.207 * * * * [progress]: [ 93 / 164 ] simplifiying candidate # 6.207 * * * * [progress]: [ 94 / 164 ] simplifiying candidate # 6.207 * * * * [progress]: [ 95 / 164 ] simplifiying candidate # 6.207 * * * * [progress]: [ 96 / 164 ] simplifiying candidate # 6.207 * * * * [progress]: [ 97 / 164 ] simplifiying candidate # 6.207 * * * * [progress]: [ 98 / 164 ] simplifiying candidate # 6.207 * * * * [progress]: [ 99 / 164 ] simplifiying candidate # 6.207 * * * * [progress]: [ 100 / 164 ] simplifiying candidate # 6.207 * * * * [progress]: [ 101 / 164 ] simplifiying candidate # 6.208 * * * * [progress]: [ 102 / 164 ] simplifiying candidate # 6.208 * * * * [progress]: [ 103 / 164 ] simplifiying candidate # 6.208 * * * * [progress]: [ 104 / 164 ] simplifiying candidate # 6.208 * * * * [progress]: [ 105 / 164 ] simplifiying candidate # 6.208 * * * * [progress]: [ 106 / 164 ] simplifiying candidate # 6.208 * * * * [progress]: [ 107 / 164 ] simplifiying candidate # 6.208 * * * * [progress]: [ 108 / 164 ] simplifiying candidate # 6.208 * * * * [progress]: [ 109 / 164 ] simplifiying candidate # 6.208 * * * * [progress]: [ 110 / 164 ] simplifiying candidate # 6.208 * * * * [progress]: [ 111 / 164 ] simplifiying candidate # 6.208 * * * * [progress]: [ 112 / 164 ] simplifiying candidate # 6.208 * * * * [progress]: [ 113 / 164 ] simplifiying candidate # 6.208 * * * * [progress]: [ 114 / 164 ] simplifiying candidate # 6.208 * * * * [progress]: [ 115 / 164 ] simplifiying candidate # 6.209 * * * * [progress]: [ 116 / 164 ] simplifiying candidate # 6.209 * * * * [progress]: [ 117 / 164 ] simplifiying candidate # 6.209 * * * * [progress]: [ 118 / 164 ] simplifiying candidate # 6.209 * * * * [progress]: [ 119 / 164 ] simplifiying candidate # 6.209 * * * * [progress]: [ 120 / 164 ] simplifiying candidate # 6.209 * * * * [progress]: [ 121 / 164 ] simplifiying candidate # 6.209 * * * * [progress]: [ 122 / 164 ] simplifiying candidate # 6.209 * * * * [progress]: [ 123 / 164 ] simplifiying candidate # 6.209 * * * * [progress]: [ 124 / 164 ] simplifiying candidate # 6.209 * * * * [progress]: [ 125 / 164 ] simplifiying candidate # 6.209 * * * * [progress]: [ 126 / 164 ] simplifiying candidate # 6.209 * * * * [progress]: [ 127 / 164 ] simplifiying candidate # 6.209 * * * * [progress]: [ 128 / 164 ] simplifiying candidate # 6.209 * * * * [progress]: [ 129 / 164 ] simplifiying candidate # 6.209 * * * * [progress]: [ 130 / 164 ] simplifiying candidate #real (real->posit16 (/ (sqrt (+ 1 N)) N))))))> 6.210 * * * * [progress]: [ 131 / 164 ] simplifiying candidate # 6.210 * * * * [progress]: [ 132 / 164 ] simplifiying candidate # 6.210 * * * * [progress]: [ 133 / 164 ] simplifiying candidate # 6.210 * * * * [progress]: [ 134 / 164 ] simplifiying candidate # 6.210 * * * * [progress]: [ 135 / 164 ] simplifiying candidate # 6.210 * * * * [progress]: [ 136 / 164 ] simplifiying candidate # 6.210 * * * * [progress]: [ 137 / 164 ] simplifiying candidate # 6.210 * * * * [progress]: [ 138 / 164 ] simplifiying candidate # 6.210 * * * * [progress]: [ 139 / 164 ] simplifiying candidate # 6.210 * * * * [progress]: [ 140 / 164 ] simplifiying candidate # 6.210 * * * * [progress]: [ 141 / 164 ] simplifiying candidate # 6.210 * * * * [progress]: [ 142 / 164 ] simplifiying candidate # 6.210 * * * * [progress]: [ 143 / 164 ] simplifiying candidate # 6.210 * * * * [progress]: [ 144 / 164 ] simplifiying candidate # 6.210 * * * * [progress]: [ 145 / 164 ] simplifiying candidate # 6.211 * * * * [progress]: [ 146 / 164 ] simplifiying candidate # 6.211 * * * * [progress]: [ 147 / 164 ] simplifiying candidate # 6.211 * * * * [progress]: [ 148 / 164 ] simplifiying candidate # 6.211 * * * * [progress]: [ 149 / 164 ] simplifiying candidate # 6.211 * * * * [progress]: [ 150 / 164 ] simplifiying candidate # 6.211 * * * * [progress]: [ 151 / 164 ] simplifiying candidate # 6.211 * * * * [progress]: [ 152 / 164 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1 N)))) N))))> 6.211 * * * * [progress]: [ 153 / 164 ] simplifiying candidate # 6.211 * * * * [progress]: [ 154 / 164 ] simplifiying candidate # 6.211 * * * * [progress]: [ 155 / 164 ] simplifiying candidate # 6.211 * * * * [progress]: [ 156 / 164 ] simplifiying candidate # 6.211 * * * * [progress]: [ 157 / 164 ] simplifiying candidate # 6.211 * * * * [progress]: [ 158 / 164 ] simplifiying candidate # 6.211 * * * * [progress]: [ 159 / 164 ] simplifiying candidate # 6.211 * * * * [progress]: [ 160 / 164 ] simplifiying candidate # 6.212 * * * * [progress]: [ 161 / 164 ] simplifiying candidate # 6.212 * * * * [progress]: [ 162 / 164 ] simplifiying candidate # 6.212 * * * * [progress]: [ 163 / 164 ] simplifiying candidate # 6.212 * * * * [progress]: [ 164 / 164 ] simplifiying candidate # 6.214 * [simplify]: Simplifying: (expm1 (log (sqrt (+ 1 N)))) (log1p (log (sqrt (+ 1 N)))) (log (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N))))) (log (cbrt (sqrt (+ 1 N)))) (log (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N))))) (log (sqrt (cbrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt 1)) (log (sqrt (+ 1 N))) (log (sqrt 1)) (log (sqrt (+ 1 N))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log 1) (log (sqrt (+ 1 N))) (log (sqrt (+ (pow 1 3) (pow N 3)))) (log (sqrt (+ (* 1 1) (- (* N N) (* 1 N))))) (log (sqrt (- (* 1 1) (* N N)))) (log (sqrt (- 1 N))) (log (+ 1 N)) (log (sqrt (+ 1 N))) (log (+ 1 N)) (log (log (sqrt (+ 1 N)))) (exp (log (sqrt (+ 1 N)))) (* (cbrt (log (sqrt (+ 1 N)))) (cbrt (log (sqrt (+ 1 N))))) (cbrt (log (sqrt (+ 1 N)))) (* (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (real->posit16 (log (sqrt (+ 1 N)))) (expm1 (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (log1p (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (* (sqrt (+ 1 N)) (/ (sqrt (+ 1 N)) N)) (log (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (exp (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (* (cbrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (cbrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))) (cbrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (* (* (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (sqrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (sqrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (+ (pow (log (sqrt (+ 1 N))) 3) (pow (log (/ (sqrt (+ 1 N)) N)) 3)) (+ (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (- (* (log (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N))) (* (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))) (- (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (* (log (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N)))) (- (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (* (cbrt (/ (sqrt (+ 1 N)) N)) (cbrt (/ (sqrt (+ 1 N)) N))))) (+ (log (sqrt (+ 1 N))) (log (sqrt (/ (sqrt (+ 1 N)) N)))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) 1))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 1))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) 1))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) 1))) (+ (log (sqrt (+ 1 N))) (log (/ 1 (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ 1 (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ 1 1))) (+ (log (sqrt (+ 1 N))) (log 1)) (+ (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (+ (log (cbrt (sqrt (+ 1 N)))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (cbrt (+ 1 N)))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (sqrt (+ 1 N)))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (sqrt (+ 1 N)))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (- (log (sqrt (+ (* 1 1) (- (* N N) (* 1 N))))) (log (/ (sqrt (+ 1 N)) N))) (- (log (sqrt (- 1 N))) (log (/ (sqrt (+ 1 N)) N))) (real->posit16 (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (expm1 (/ (sqrt (+ 1 N)) N)) (log1p (/ (sqrt (+ 1 N)) N)) (- (log (sqrt (+ 1 N))) (log N)) (log (/ (sqrt (+ 1 N)) N)) (exp (/ (sqrt (+ 1 N)) N)) (/ (* (* (sqrt (+ 1 N)) (sqrt (+ 1 N))) (sqrt (+ 1 N))) (* (* N N) N)) (* (cbrt (/ (sqrt (+ 1 N)) N)) (cbrt (/ (sqrt (+ 1 N)) N))) (cbrt (/ (sqrt (+ 1 N)) N)) (* (* (/ (sqrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) N)) (/ (sqrt (+ 1 N)) N)) (sqrt (/ (sqrt (+ 1 N)) N)) (sqrt (/ (sqrt (+ 1 N)) N)) (- (sqrt (+ 1 N))) (- N) (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (* (cbrt N) (cbrt N))) (/ (cbrt (sqrt (+ 1 N))) (cbrt N)) (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (sqrt N)) (/ (cbrt (sqrt (+ 1 N))) (sqrt N)) (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) 1) (/ (cbrt (sqrt (+ 1 N))) N) (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* (cbrt N) (cbrt N))) (/ (sqrt (cbrt (+ 1 N))) (cbrt N)) (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (sqrt N)) (/ (sqrt (cbrt (+ 1 N))) (sqrt N)) (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 1) (/ (sqrt (cbrt (+ 1 N))) N) (/ (sqrt (sqrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ 1 N))) (cbrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (/ (sqrt (sqrt (+ 1 N))) 1) (/ (sqrt (sqrt (+ 1 N))) N) (/ (sqrt 1) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt 1) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt 1) 1) (/ (sqrt (+ 1 N)) N) (/ (sqrt 1) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt 1) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt 1) 1) (/ (sqrt (+ 1 N)) N) (/ (sqrt (sqrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ 1 N))) (cbrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (/ (sqrt (sqrt (+ 1 N))) 1) (/ (sqrt (sqrt (+ 1 N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ 1 1) (/ (sqrt (+ 1 N)) N) (/ 1 N) (/ N (sqrt (+ 1 N))) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) 1) (/ N (cbrt (sqrt (+ 1 N)))) (/ N (sqrt (cbrt (+ 1 N)))) (/ N (sqrt (sqrt (+ 1 N)))) (/ N (sqrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (sqrt (sqrt (+ 1 N)))) (/ N (sqrt (+ 1 N))) (* N (sqrt (+ (* 1 1) (- (* N N) (* 1 N))))) (* N (sqrt (- 1 N))) (real->posit16 (/ (sqrt (+ 1 N)) N)) (expm1 (sqrt (+ 1 N))) (log1p (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) (exp (sqrt (+ 1 N))) (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (cbrt (sqrt (+ 1 N))) (* (* (sqrt (+ 1 N)) (sqrt (+ 1 N))) (sqrt (+ 1 N))) (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (sqrt (cbrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (sqrt 1) (sqrt (+ 1 N)) (sqrt 1) (sqrt (+ 1 N)) (sqrt (+ (pow 1 3) (pow N 3))) (sqrt (+ (* 1 1) (- (* N N) (* 1 N)))) (sqrt (- (* 1 1) (* N N))) (sqrt (- 1 N)) (/ 1 2) (sqrt (sqrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (real->posit16 (sqrt (+ 1 N))) (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (log (/ 1 N)) (+ (log +nan.0) (log (- +nan.0)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (/ -1 N)) (+ (log (- +nan.0)) (log +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (/ 1 N) 1/2) (* 1/8 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* 1/2 N) 1) (* 1/8 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 6.219 * * [simplify]: iteration 0: 223 enodes 6.320 * * [simplify]: iteration 1: 478 enodes 6.477 * * [simplify]: iteration 2: 1236 enodes 7.524 * * [simplify]: iteration 3: 4811 enodes 8.613 * * [simplify]: iteration complete: 5000 enodes 8.614 * * [simplify]: Extracting #0: cost 116 inf + 0 8.617 * * [simplify]: Extracting #1: cost 712 inf + 3 8.627 * * [simplify]: Extracting #2: cost 1406 inf + 1221 8.644 * * [simplify]: Extracting #3: cost 1146 inf + 45865 8.670 * * [simplify]: Extracting #4: cost 572 inf + 186074 8.750 * * [simplify]: Extracting #5: cost 118 inf + 336929 8.836 * * [simplify]: Extracting #6: cost 6 inf + 369393 8.927 * * [simplify]: Extracting #7: cost 0 inf + 369785 9.007 * [simplify]: Simplified to: (expm1 (log (sqrt (+ 1 N)))) (log1p (log (sqrt (+ 1 N)))) (log (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N))))) (log (cbrt (sqrt (+ 1 N)))) (log (fabs (cbrt (+ 1 N)))) (log (sqrt (cbrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) 0 (log (sqrt (+ 1 N))) 0 (log (sqrt (+ 1 N))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) 0 (log (sqrt (+ 1 N))) (log (sqrt (fma N (* N N) 1))) (log (sqrt (- (fma N N 1) N))) (log (sqrt (- 1 (* N N)))) (log (sqrt (- 1 N))) (log1p N) (log (sqrt (+ 1 N))) (log1p N) (log (log (sqrt (+ 1 N)))) (sqrt (+ 1 N)) (* (cbrt (log (sqrt (+ 1 N)))) (cbrt (log (sqrt (+ 1 N))))) (cbrt (log (sqrt (+ 1 N)))) (* (log (sqrt (+ 1 N))) (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N))))) (sqrt (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (real->posit16 (log (sqrt (+ 1 N)))) (expm1 (- (log1p N) (log N))) (log1p (- (log1p N) (log N))) (/ (+ 1 N) N) (log (- (log1p N) (log N))) (/ (+ 1 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))) (fma (log (/ (sqrt (+ 1 N)) N)) (* (log (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N))) (* (log (sqrt (+ 1 N))) (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))))) (fma (log (/ (sqrt (+ 1 N)) N)) (- (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (+ 1 N)))) (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N))))) (* (+ 0 (log N)) (- (log1p N) (log N))) (+ 0 (log N)) (- (log1p N) (log N)) (- (log1p N) (log N)) (- (log1p N) (log N)) (- (log1p N) (log N)) (fma 2 (log (cbrt (/ (sqrt (+ 1 N)) N))) (log (sqrt (+ 1 N)))) (+ (log (sqrt (+ 1 N))) (log (sqrt (/ (sqrt (+ 1 N)) N)))) (+ (log (/ (cbrt (sqrt (+ 1 N))) (cbrt N))) (+ (log (/ (cbrt (sqrt (+ 1 N))) (cbrt N))) (log (sqrt (+ 1 N))))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (sqrt N)))) (fma 2 (log (cbrt (sqrt (+ 1 N)))) (log (sqrt (+ 1 N)))) (+ (log (sqrt (+ 1 N))) (log (/ (fabs (cbrt (+ 1 N))) (* (cbrt N) (cbrt N))))) (+ (log (/ (fabs (cbrt (+ 1 N))) (sqrt N))) (log (sqrt (+ 1 N)))) (+ (log (fabs (cbrt (+ 1 N)))) (log (sqrt (+ 1 N)))) (+ (log (/ (/ (sqrt (sqrt (+ 1 N))) (cbrt N)) (cbrt N))) (log (sqrt (+ 1 N)))) (+ (log (/ (sqrt (sqrt (+ 1 N))) (sqrt N))) (log (sqrt (+ 1 N)))) (+ (log (sqrt (+ 1 N))) (log (sqrt (sqrt (+ 1 N))))) (- (- (log (sqrt (+ 1 N))) (log (cbrt N))) (log (cbrt N))) (- (log (sqrt (+ 1 N))) (log (sqrt N))) (log (sqrt (+ 1 N))) (- (- (log (sqrt (+ 1 N))) (log (cbrt N))) (log (cbrt N))) (- (log (sqrt (+ 1 N))) (log (sqrt N))) (log (sqrt (+ 1 N))) (+ (log (/ (/ (sqrt (sqrt (+ 1 N))) (cbrt N)) (cbrt N))) (log (sqrt (+ 1 N)))) (+ (log (/ (sqrt (sqrt (+ 1 N))) (sqrt N))) (log (sqrt (+ 1 N)))) (+ (log (sqrt (+ 1 N))) (log (sqrt (sqrt (+ 1 N))))) (- (- (log (sqrt (+ 1 N))) (log (cbrt N))) (log (cbrt N))) (- (log (sqrt (+ 1 N))) (log (sqrt N))) (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) (log1p N) (+ (log (/ (sqrt (+ 1 N)) N)) (log (cbrt (sqrt (+ 1 N))))) (+ (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (cbrt (+ 1 N))))) (+ (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (sqrt (+ 1 N))))) (- (log1p N) (log N)) (- (log1p N) (log N)) (+ (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (sqrt (+ 1 N))))) (- (log1p N) (log N)) (log1p N) (- (log (sqrt (- (fma N N 1) N))) (log (/ (sqrt (+ 1 N)) N))) (- (log (sqrt (- 1 N))) (log (/ (sqrt (+ 1 N)) N))) (real->posit16 (- (log1p N) (log N))) (expm1 (/ (sqrt (+ 1 N)) N)) (log1p (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N)) (exp (/ (sqrt (+ 1 N)) N)) (/ (/ (/ (* (+ 1 N) (sqrt (+ 1 N))) N) N) N) (* (cbrt (/ (sqrt (+ 1 N)) N)) (cbrt (/ (sqrt (+ 1 N)) N))) (cbrt (/ (sqrt (+ 1 N)) N)) (/ (/ (/ (* (+ 1 N) (sqrt (+ 1 N))) N) N) N) (sqrt (/ (sqrt (+ 1 N)) N)) (sqrt (/ (sqrt (+ 1 N)) N)) (- (sqrt (+ 1 N))) (- N) (* (/ (cbrt (sqrt (+ 1 N))) (cbrt N)) (/ (cbrt (sqrt (+ 1 N))) (cbrt N))) (/ (cbrt (sqrt (+ 1 N))) (cbrt N)) (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (sqrt N)) (/ (cbrt (sqrt (+ 1 N))) (sqrt N)) (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (/ (cbrt (sqrt (+ 1 N))) N) (/ (fabs (cbrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ (sqrt (cbrt (+ 1 N))) (cbrt N)) (/ (fabs (cbrt (+ 1 N))) (sqrt N)) (/ (sqrt (cbrt (+ 1 N))) (sqrt N)) (fabs (cbrt (+ 1 N))) (/ (sqrt (cbrt (+ 1 N))) N) (/ (/ (sqrt (sqrt (+ 1 N))) (cbrt N)) (cbrt N)) (/ (sqrt (sqrt (+ 1 N))) (cbrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (sqrt (sqrt (+ 1 N))) (/ (sqrt (sqrt (+ 1 N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) 1 (/ (sqrt (+ 1 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) 1 (/ (sqrt (+ 1 N)) N) (/ (/ (sqrt (sqrt (+ 1 N))) (cbrt N)) (cbrt N)) (/ (sqrt (sqrt (+ 1 N))) (cbrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (sqrt (sqrt (+ 1 N))) (/ (sqrt (sqrt (+ 1 N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) 1 (/ (sqrt (+ 1 N)) N) (/ 1 N) (/ N (sqrt (+ 1 N))) (/ (/ (sqrt (+ 1 N)) (cbrt N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (sqrt (+ 1 N)) (/ N (cbrt (sqrt (+ 1 N)))) (/ N (sqrt (cbrt (+ 1 N)))) (/ N (sqrt (sqrt (+ 1 N)))) (/ N (sqrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (sqrt (sqrt (+ 1 N)))) (/ N (sqrt (+ 1 N))) (* N (sqrt (- (fma N N 1) N))) (* (sqrt (- 1 N)) N) (real->posit16 (/ (sqrt (+ 1 N)) N)) (expm1 (sqrt (+ 1 N))) (log1p (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) (exp (sqrt (+ 1 N))) (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (cbrt (sqrt (+ 1 N))) (* (sqrt (+ 1 N)) (+ 1 N)) (fabs (cbrt (+ 1 N))) (sqrt (cbrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) 1 (sqrt (+ 1 N)) 1 (sqrt (+ 1 N)) (sqrt (fma N (* N N) 1)) (sqrt (- (fma N N 1) N)) (sqrt (- 1 (* N N))) (sqrt (- 1 N)) 1/2 (sqrt (sqrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (real->posit16 (sqrt (+ 1 N))) (fma 1/2 N (* (* N N) (- (* 1/6 N) 1/4))) (- (log +nan.0) (- (/ (/ +nan.0 N) N) (/ +nan.0 N))) (- (log +nan.0) (- (/ (/ +nan.0 N) N) (/ +nan.0 N))) (- N (fma (* N N) 1/2 (log N))) (+ (- (+ (log (- +nan.0)) (log +nan.0)) (log N)) (- (/ +nan.0 N) (/ (/ +nan.0 N) N))) (+ (+ (+ (log (- +nan.0)) (log (/ -1 N))) (- (/ +nan.0 N) (/ (/ +nan.0 N) N))) (log +nan.0)) (+ (fma N -1/8 1/2) (/ 1 N)) (fma (/ -1 (* N N)) +nan.0 (- (/ +nan.0 (* (* N N) N)) (/ +nan.0 N))) (fma (/ -1 (* N N)) +nan.0 (- (/ +nan.0 (* (* N N) N)) (/ +nan.0 N))) (fma (* N N) -1/8 (fma 1/2 N 1)) (- (- (/ +nan.0 N) (/ (/ +nan.0 N) N)) +nan.0) (- (- (/ +nan.0 N) (/ (/ +nan.0 N) N)) +nan.0) 9.026 * * * [progress]: adding candidates to table 9.728 * * [progress]: iteration 4 / 4 9.728 * * * [progress]: picking best candidate 9.736 * * * * [pick]: Picked # 9.736 * * * [progress]: localizing error 9.777 * * * [progress]: generating rewritten candidates 9.777 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 9.781 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 9.785 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 9.789 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 9.792 * * * [progress]: generating series expansions 9.792 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 9.792 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 9.792 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 9.792 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 9.792 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.792 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.792 * [taylor]: Taking taylor expansion of N in N 9.792 * [backup-simplify]: Simplify 0 into 0 9.792 * [backup-simplify]: Simplify 1 into 1 9.792 * [taylor]: Taking taylor expansion of 1 in N 9.792 * [backup-simplify]: Simplify 1 into 1 9.792 * [taylor]: Taking taylor expansion of N in N 9.792 * [backup-simplify]: Simplify 0 into 0 9.792 * [backup-simplify]: Simplify 1 into 1 9.793 * [backup-simplify]: Simplify (+ 0 1) into 1 9.793 * [backup-simplify]: Simplify (/ 1 1) into 1 9.793 * [backup-simplify]: Simplify (log 1) into 0 9.794 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 9.794 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.794 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.794 * [taylor]: Taking taylor expansion of N in N 9.794 * [backup-simplify]: Simplify 0 into 0 9.794 * [backup-simplify]: Simplify 1 into 1 9.794 * [taylor]: Taking taylor expansion of 1 in N 9.794 * [backup-simplify]: Simplify 1 into 1 9.794 * [taylor]: Taking taylor expansion of N in N 9.794 * [backup-simplify]: Simplify 0 into 0 9.794 * [backup-simplify]: Simplify 1 into 1 9.794 * [backup-simplify]: Simplify (+ 0 1) into 1 9.794 * [backup-simplify]: Simplify (/ 1 1) into 1 9.794 * [backup-simplify]: Simplify (log 1) into 0 9.795 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.795 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 9.795 * [backup-simplify]: Simplify (+ 1 0) into 1 9.796 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 9.796 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.796 * [backup-simplify]: Simplify 1 into 1 9.797 * [backup-simplify]: Simplify (+ 0 0) into 0 9.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 9.799 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.799 * [backup-simplify]: Simplify -1/2 into -1/2 9.799 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 9.799 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 9.799 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 9.799 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 9.799 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.799 * [taylor]: Taking taylor expansion of N in N 9.799 * [backup-simplify]: Simplify 0 into 0 9.799 * [backup-simplify]: Simplify 1 into 1 9.799 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.799 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.799 * [taylor]: Taking taylor expansion of N in N 9.799 * [backup-simplify]: Simplify 0 into 0 9.799 * [backup-simplify]: Simplify 1 into 1 9.799 * [backup-simplify]: Simplify (/ 1 1) into 1 9.799 * [taylor]: Taking taylor expansion of 1 in N 9.800 * [backup-simplify]: Simplify 1 into 1 9.800 * [backup-simplify]: Simplify (+ 1 0) into 1 9.800 * [backup-simplify]: Simplify (* 0 1) into 0 9.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.801 * [backup-simplify]: Simplify (+ 0 1) into 1 9.801 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.802 * [backup-simplify]: Simplify (log 1) into 0 9.802 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 9.802 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.802 * [taylor]: Taking taylor expansion of N in N 9.802 * [backup-simplify]: Simplify 0 into 0 9.802 * [backup-simplify]: Simplify 1 into 1 9.802 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.802 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.802 * [taylor]: Taking taylor expansion of N in N 9.802 * [backup-simplify]: Simplify 0 into 0 9.802 * [backup-simplify]: Simplify 1 into 1 9.802 * [backup-simplify]: Simplify (/ 1 1) into 1 9.802 * [taylor]: Taking taylor expansion of 1 in N 9.802 * [backup-simplify]: Simplify 1 into 1 9.802 * [backup-simplify]: Simplify (+ 1 0) into 1 9.802 * [backup-simplify]: Simplify (* 0 1) into 0 9.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.803 * [backup-simplify]: Simplify (+ 0 1) into 1 9.804 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.804 * [backup-simplify]: Simplify (log 1) into 0 9.804 * [backup-simplify]: Simplify 0 into 0 9.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.805 * [backup-simplify]: Simplify (+ 0 0) into 0 9.805 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.806 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.806 * [backup-simplify]: Simplify 1 into 1 9.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.807 * [backup-simplify]: Simplify (+ 0 0) into 0 9.807 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 9.809 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.809 * [backup-simplify]: Simplify -1/2 into -1/2 9.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.810 * [backup-simplify]: Simplify (+ 0 0) into 0 9.810 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 9.813 * [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 9.813 * [backup-simplify]: Simplify 1/3 into 1/3 9.813 * [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)))) 9.813 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 9.814 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 9.814 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 9.814 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 9.814 * [taylor]: Taking taylor expansion of -1 in N 9.814 * [backup-simplify]: Simplify -1 into -1 9.814 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 9.814 * [taylor]: Taking taylor expansion of N in N 9.814 * [backup-simplify]: Simplify 0 into 0 9.814 * [backup-simplify]: Simplify 1 into 1 9.814 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.814 * [taylor]: Taking taylor expansion of 1 in N 9.814 * [backup-simplify]: Simplify 1 into 1 9.814 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.814 * [taylor]: Taking taylor expansion of N in N 9.814 * [backup-simplify]: Simplify 0 into 0 9.814 * [backup-simplify]: Simplify 1 into 1 9.814 * [backup-simplify]: Simplify (/ 1 1) into 1 9.814 * [backup-simplify]: Simplify (- 1) into -1 9.815 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.815 * [backup-simplify]: Simplify (* 0 -1) into 0 9.815 * [backup-simplify]: Simplify (* -1 0) into 0 9.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.816 * [backup-simplify]: Simplify (- 0) into 0 9.816 * [backup-simplify]: Simplify (+ 1 0) into 1 9.816 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 9.817 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 9.817 * [backup-simplify]: Simplify (log 1) into 0 9.817 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 9.817 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 9.817 * [taylor]: Taking taylor expansion of -1 in N 9.817 * [backup-simplify]: Simplify -1 into -1 9.817 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 9.817 * [taylor]: Taking taylor expansion of N in N 9.817 * [backup-simplify]: Simplify 0 into 0 9.817 * [backup-simplify]: Simplify 1 into 1 9.817 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.817 * [taylor]: Taking taylor expansion of 1 in N 9.817 * [backup-simplify]: Simplify 1 into 1 9.817 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.817 * [taylor]: Taking taylor expansion of N in N 9.817 * [backup-simplify]: Simplify 0 into 0 9.817 * [backup-simplify]: Simplify 1 into 1 9.818 * [backup-simplify]: Simplify (/ 1 1) into 1 9.818 * [backup-simplify]: Simplify (- 1) into -1 9.818 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.818 * [backup-simplify]: Simplify (* 0 -1) into 0 9.819 * [backup-simplify]: Simplify (* -1 0) into 0 9.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.819 * [backup-simplify]: Simplify (- 0) into 0 9.820 * [backup-simplify]: Simplify (+ 1 0) into 1 9.821 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 9.821 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 9.822 * [backup-simplify]: Simplify (log 1) into 0 9.822 * [backup-simplify]: Simplify 0 into 0 9.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.823 * [backup-simplify]: Simplify (- 0) into 0 9.824 * [backup-simplify]: Simplify (+ 0 0) into 0 9.825 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 9.826 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 9.827 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 9.827 * [backup-simplify]: Simplify -1 into -1 9.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.828 * [backup-simplify]: Simplify (- 0) into 0 9.829 * [backup-simplify]: Simplify (+ 0 0) into 0 9.830 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 9.831 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 9.834 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.834 * [backup-simplify]: Simplify -1/2 into -1/2 9.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.836 * [backup-simplify]: Simplify (- 0) into 0 9.836 * [backup-simplify]: Simplify (+ 0 0) into 0 9.838 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 9.839 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 9.845 * [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 9.845 * [backup-simplify]: Simplify -1/3 into -1/3 9.845 * [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)))) 9.845 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 9.846 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 9.846 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 9.846 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 9.846 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.846 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.846 * [taylor]: Taking taylor expansion of N in N 9.846 * [backup-simplify]: Simplify 0 into 0 9.846 * [backup-simplify]: Simplify 1 into 1 9.846 * [taylor]: Taking taylor expansion of 1 in N 9.846 * [backup-simplify]: Simplify 1 into 1 9.846 * [taylor]: Taking taylor expansion of N in N 9.846 * [backup-simplify]: Simplify 0 into 0 9.846 * [backup-simplify]: Simplify 1 into 1 9.846 * [backup-simplify]: Simplify (+ 0 1) into 1 9.847 * [backup-simplify]: Simplify (/ 1 1) into 1 9.847 * [backup-simplify]: Simplify (log 1) into 0 9.847 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 9.847 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.847 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.847 * [taylor]: Taking taylor expansion of N in N 9.847 * [backup-simplify]: Simplify 0 into 0 9.847 * [backup-simplify]: Simplify 1 into 1 9.847 * [taylor]: Taking taylor expansion of 1 in N 9.847 * [backup-simplify]: Simplify 1 into 1 9.847 * [taylor]: Taking taylor expansion of N in N 9.848 * [backup-simplify]: Simplify 0 into 0 9.848 * [backup-simplify]: Simplify 1 into 1 9.848 * [backup-simplify]: Simplify (+ 0 1) into 1 9.848 * [backup-simplify]: Simplify (/ 1 1) into 1 9.849 * [backup-simplify]: Simplify (log 1) into 0 9.849 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.849 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 9.850 * [backup-simplify]: Simplify (+ 1 0) into 1 9.851 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 9.852 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.852 * [backup-simplify]: Simplify 1 into 1 9.852 * [backup-simplify]: Simplify (+ 0 0) into 0 9.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 9.856 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.856 * [backup-simplify]: Simplify -1/2 into -1/2 9.856 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 9.857 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 9.857 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 9.857 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 9.857 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.857 * [taylor]: Taking taylor expansion of N in N 9.857 * [backup-simplify]: Simplify 0 into 0 9.857 * [backup-simplify]: Simplify 1 into 1 9.857 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.857 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.857 * [taylor]: Taking taylor expansion of N in N 9.857 * [backup-simplify]: Simplify 0 into 0 9.857 * [backup-simplify]: Simplify 1 into 1 9.857 * [backup-simplify]: Simplify (/ 1 1) into 1 9.857 * [taylor]: Taking taylor expansion of 1 in N 9.857 * [backup-simplify]: Simplify 1 into 1 9.858 * [backup-simplify]: Simplify (+ 1 0) into 1 9.858 * [backup-simplify]: Simplify (* 0 1) into 0 9.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.859 * [backup-simplify]: Simplify (+ 0 1) into 1 9.860 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.861 * [backup-simplify]: Simplify (log 1) into 0 9.861 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 9.861 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.861 * [taylor]: Taking taylor expansion of N in N 9.861 * [backup-simplify]: Simplify 0 into 0 9.861 * [backup-simplify]: Simplify 1 into 1 9.861 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.861 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.861 * [taylor]: Taking taylor expansion of N in N 9.861 * [backup-simplify]: Simplify 0 into 0 9.861 * [backup-simplify]: Simplify 1 into 1 9.861 * [backup-simplify]: Simplify (/ 1 1) into 1 9.861 * [taylor]: Taking taylor expansion of 1 in N 9.861 * [backup-simplify]: Simplify 1 into 1 9.862 * [backup-simplify]: Simplify (+ 1 0) into 1 9.862 * [backup-simplify]: Simplify (* 0 1) into 0 9.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.863 * [backup-simplify]: Simplify (+ 0 1) into 1 9.864 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.864 * [backup-simplify]: Simplify (log 1) into 0 9.864 * [backup-simplify]: Simplify 0 into 0 9.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.866 * [backup-simplify]: Simplify (+ 0 0) into 0 9.867 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.868 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.868 * [backup-simplify]: Simplify 1 into 1 9.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.876 * [backup-simplify]: Simplify (+ 0 0) into 0 9.877 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 9.880 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.880 * [backup-simplify]: Simplify -1/2 into -1/2 9.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.882 * [backup-simplify]: Simplify (+ 0 0) into 0 9.883 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 9.888 * [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 9.888 * [backup-simplify]: Simplify 1/3 into 1/3 9.888 * [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)))) 9.889 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 9.889 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 9.889 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 9.889 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 9.889 * [taylor]: Taking taylor expansion of -1 in N 9.889 * [backup-simplify]: Simplify -1 into -1 9.889 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 9.889 * [taylor]: Taking taylor expansion of N in N 9.889 * [backup-simplify]: Simplify 0 into 0 9.889 * [backup-simplify]: Simplify 1 into 1 9.889 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.889 * [taylor]: Taking taylor expansion of 1 in N 9.889 * [backup-simplify]: Simplify 1 into 1 9.889 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.889 * [taylor]: Taking taylor expansion of N in N 9.889 * [backup-simplify]: Simplify 0 into 0 9.889 * [backup-simplify]: Simplify 1 into 1 9.889 * [backup-simplify]: Simplify (/ 1 1) into 1 9.890 * [backup-simplify]: Simplify (- 1) into -1 9.890 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.891 * [backup-simplify]: Simplify (* 0 -1) into 0 9.891 * [backup-simplify]: Simplify (* -1 0) into 0 9.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.892 * [backup-simplify]: Simplify (- 0) into 0 9.893 * [backup-simplify]: Simplify (+ 1 0) into 1 9.894 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 9.894 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 9.895 * [backup-simplify]: Simplify (log 1) into 0 9.895 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 9.895 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 9.895 * [taylor]: Taking taylor expansion of -1 in N 9.895 * [backup-simplify]: Simplify -1 into -1 9.895 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 9.895 * [taylor]: Taking taylor expansion of N in N 9.895 * [backup-simplify]: Simplify 0 into 0 9.895 * [backup-simplify]: Simplify 1 into 1 9.895 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.895 * [taylor]: Taking taylor expansion of 1 in N 9.895 * [backup-simplify]: Simplify 1 into 1 9.895 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.895 * [taylor]: Taking taylor expansion of N in N 9.895 * [backup-simplify]: Simplify 0 into 0 9.895 * [backup-simplify]: Simplify 1 into 1 9.895 * [backup-simplify]: Simplify (/ 1 1) into 1 9.896 * [backup-simplify]: Simplify (- 1) into -1 9.896 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.897 * [backup-simplify]: Simplify (* 0 -1) into 0 9.897 * [backup-simplify]: Simplify (* -1 0) into 0 9.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.898 * [backup-simplify]: Simplify (- 0) into 0 9.899 * [backup-simplify]: Simplify (+ 1 0) into 1 9.899 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 9.900 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 9.900 * [backup-simplify]: Simplify (log 1) into 0 9.900 * [backup-simplify]: Simplify 0 into 0 9.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.902 * [backup-simplify]: Simplify (- 0) into 0 9.902 * [backup-simplify]: Simplify (+ 0 0) into 0 9.903 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 9.905 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 9.906 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 9.906 * [backup-simplify]: Simplify -1 into -1 9.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.908 * [backup-simplify]: Simplify (- 0) into 0 9.908 * [backup-simplify]: Simplify (+ 0 0) into 0 9.910 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 9.911 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 9.914 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.914 * [backup-simplify]: Simplify -1/2 into -1/2 9.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.915 * [backup-simplify]: Simplify (- 0) into 0 9.916 * [backup-simplify]: Simplify (+ 0 0) into 0 9.917 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 9.919 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 9.922 * [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 9.922 * [backup-simplify]: Simplify -1/3 into -1/3 9.922 * [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)))) 9.922 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 9.923 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 9.923 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 9.923 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 9.923 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.923 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.923 * [taylor]: Taking taylor expansion of N in N 9.923 * [backup-simplify]: Simplify 0 into 0 9.923 * [backup-simplify]: Simplify 1 into 1 9.923 * [taylor]: Taking taylor expansion of 1 in N 9.923 * [backup-simplify]: Simplify 1 into 1 9.923 * [taylor]: Taking taylor expansion of N in N 9.923 * [backup-simplify]: Simplify 0 into 0 9.923 * [backup-simplify]: Simplify 1 into 1 9.923 * [backup-simplify]: Simplify (+ 0 1) into 1 9.923 * [backup-simplify]: Simplify (/ 1 1) into 1 9.924 * [backup-simplify]: Simplify (log 1) into 0 9.924 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 9.924 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.924 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.924 * [taylor]: Taking taylor expansion of N in N 9.924 * [backup-simplify]: Simplify 0 into 0 9.924 * [backup-simplify]: Simplify 1 into 1 9.924 * [taylor]: Taking taylor expansion of 1 in N 9.924 * [backup-simplify]: Simplify 1 into 1 9.924 * [taylor]: Taking taylor expansion of N in N 9.924 * [backup-simplify]: Simplify 0 into 0 9.924 * [backup-simplify]: Simplify 1 into 1 9.924 * [backup-simplify]: Simplify (+ 0 1) into 1 9.924 * [backup-simplify]: Simplify (/ 1 1) into 1 9.924 * [backup-simplify]: Simplify (log 1) into 0 9.925 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.925 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 9.925 * [backup-simplify]: Simplify (+ 1 0) into 1 9.926 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 9.926 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.926 * [backup-simplify]: Simplify 1 into 1 9.927 * [backup-simplify]: Simplify (+ 0 0) into 0 9.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 9.929 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.929 * [backup-simplify]: Simplify -1/2 into -1/2 9.929 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 9.929 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 9.929 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 9.929 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 9.929 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.929 * [taylor]: Taking taylor expansion of N in N 9.929 * [backup-simplify]: Simplify 0 into 0 9.929 * [backup-simplify]: Simplify 1 into 1 9.929 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.929 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.929 * [taylor]: Taking taylor expansion of N in N 9.929 * [backup-simplify]: Simplify 0 into 0 9.929 * [backup-simplify]: Simplify 1 into 1 9.929 * [backup-simplify]: Simplify (/ 1 1) into 1 9.929 * [taylor]: Taking taylor expansion of 1 in N 9.930 * [backup-simplify]: Simplify 1 into 1 9.930 * [backup-simplify]: Simplify (+ 1 0) into 1 9.930 * [backup-simplify]: Simplify (* 0 1) into 0 9.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.931 * [backup-simplify]: Simplify (+ 0 1) into 1 9.931 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.932 * [backup-simplify]: Simplify (log 1) into 0 9.932 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 9.932 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.932 * [taylor]: Taking taylor expansion of N in N 9.932 * [backup-simplify]: Simplify 0 into 0 9.932 * [backup-simplify]: Simplify 1 into 1 9.932 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.932 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.932 * [taylor]: Taking taylor expansion of N in N 9.932 * [backup-simplify]: Simplify 0 into 0 9.932 * [backup-simplify]: Simplify 1 into 1 9.932 * [backup-simplify]: Simplify (/ 1 1) into 1 9.932 * [taylor]: Taking taylor expansion of 1 in N 9.932 * [backup-simplify]: Simplify 1 into 1 9.932 * [backup-simplify]: Simplify (+ 1 0) into 1 9.933 * [backup-simplify]: Simplify (* 0 1) into 0 9.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.933 * [backup-simplify]: Simplify (+ 0 1) into 1 9.934 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.934 * [backup-simplify]: Simplify (log 1) into 0 9.934 * [backup-simplify]: Simplify 0 into 0 9.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.935 * [backup-simplify]: Simplify (+ 0 0) into 0 9.935 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.936 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.936 * [backup-simplify]: Simplify 1 into 1 9.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.937 * [backup-simplify]: Simplify (+ 0 0) into 0 9.937 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 9.939 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.939 * [backup-simplify]: Simplify -1/2 into -1/2 9.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.940 * [backup-simplify]: Simplify (+ 0 0) into 0 9.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 9.943 * [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 9.943 * [backup-simplify]: Simplify 1/3 into 1/3 9.944 * [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)))) 9.944 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 9.944 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 9.944 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 9.944 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 9.944 * [taylor]: Taking taylor expansion of -1 in N 9.944 * [backup-simplify]: Simplify -1 into -1 9.944 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 9.944 * [taylor]: Taking taylor expansion of N in N 9.944 * [backup-simplify]: Simplify 0 into 0 9.944 * [backup-simplify]: Simplify 1 into 1 9.944 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.944 * [taylor]: Taking taylor expansion of 1 in N 9.944 * [backup-simplify]: Simplify 1 into 1 9.944 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.944 * [taylor]: Taking taylor expansion of N in N 9.944 * [backup-simplify]: Simplify 0 into 0 9.944 * [backup-simplify]: Simplify 1 into 1 9.944 * [backup-simplify]: Simplify (/ 1 1) into 1 9.944 * [backup-simplify]: Simplify (- 1) into -1 9.945 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.945 * [backup-simplify]: Simplify (* 0 -1) into 0 9.945 * [backup-simplify]: Simplify (* -1 0) into 0 9.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.946 * [backup-simplify]: Simplify (- 0) into 0 9.946 * [backup-simplify]: Simplify (+ 1 0) into 1 9.947 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 9.947 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 9.947 * [backup-simplify]: Simplify (log 1) into 0 9.947 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 9.947 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 9.947 * [taylor]: Taking taylor expansion of -1 in N 9.947 * [backup-simplify]: Simplify -1 into -1 9.947 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 9.947 * [taylor]: Taking taylor expansion of N in N 9.947 * [backup-simplify]: Simplify 0 into 0 9.947 * [backup-simplify]: Simplify 1 into 1 9.947 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.947 * [taylor]: Taking taylor expansion of 1 in N 9.947 * [backup-simplify]: Simplify 1 into 1 9.947 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.947 * [taylor]: Taking taylor expansion of N in N 9.947 * [backup-simplify]: Simplify 0 into 0 9.947 * [backup-simplify]: Simplify 1 into 1 9.948 * [backup-simplify]: Simplify (/ 1 1) into 1 9.948 * [backup-simplify]: Simplify (- 1) into -1 9.948 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.948 * [backup-simplify]: Simplify (* 0 -1) into 0 9.949 * [backup-simplify]: Simplify (* -1 0) into 0 9.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.949 * [backup-simplify]: Simplify (- 0) into 0 9.950 * [backup-simplify]: Simplify (+ 1 0) into 1 9.950 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 9.950 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 9.951 * [backup-simplify]: Simplify (log 1) into 0 9.951 * [backup-simplify]: Simplify 0 into 0 9.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.952 * [backup-simplify]: Simplify (- 0) into 0 9.952 * [backup-simplify]: Simplify (+ 0 0) into 0 9.953 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 9.954 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 9.955 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 9.955 * [backup-simplify]: Simplify -1 into -1 9.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.957 * [backup-simplify]: Simplify (- 0) into 0 9.957 * [backup-simplify]: Simplify (+ 0 0) into 0 9.958 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 9.960 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 9.963 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.963 * [backup-simplify]: Simplify -1/2 into -1/2 9.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.964 * [backup-simplify]: Simplify (- 0) into 0 9.965 * [backup-simplify]: Simplify (+ 0 0) into 0 9.966 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 9.968 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 9.973 * [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 9.973 * [backup-simplify]: Simplify -1/3 into -1/3 9.974 * [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)))) 9.974 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 9.974 * [backup-simplify]: Simplify (cbrt (log (/ (+ 1 N) N))) into (pow (log (/ (+ N 1) N)) 1/3) 9.974 * [approximate]: Taking taylor expansion of (pow (log (/ (+ N 1) N)) 1/3) in (N) around 0 9.974 * [taylor]: Taking taylor expansion of (pow (log (/ (+ N 1) N)) 1/3) in N 9.974 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (/ (+ N 1) N))))) in N 9.974 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (/ (+ N 1) N)))) in N 9.974 * [taylor]: Taking taylor expansion of 1/3 in N 9.974 * [backup-simplify]: Simplify 1/3 into 1/3 9.974 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1) N))) in N 9.974 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 9.974 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.974 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.974 * [taylor]: Taking taylor expansion of N in N 9.974 * [backup-simplify]: Simplify 0 into 0 9.974 * [backup-simplify]: Simplify 1 into 1 9.974 * [taylor]: Taking taylor expansion of 1 in N 9.974 * [backup-simplify]: Simplify 1 into 1 9.974 * [taylor]: Taking taylor expansion of N in N 9.974 * [backup-simplify]: Simplify 0 into 0 9.974 * [backup-simplify]: Simplify 1 into 1 9.975 * [backup-simplify]: Simplify (+ 0 1) into 1 9.975 * [backup-simplify]: Simplify (/ 1 1) into 1 9.976 * [backup-simplify]: Simplify (log 1) into 0 9.976 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.976 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.977 * [backup-simplify]: Simplify (log (- (log N))) into (log (- (log N))) 9.977 * [backup-simplify]: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) 9.977 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) 9.977 * [taylor]: Taking taylor expansion of (pow (log (/ (+ N 1) N)) 1/3) in N 9.977 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (/ (+ N 1) N))))) in N 9.977 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (/ (+ N 1) N)))) in N 9.977 * [taylor]: Taking taylor expansion of 1/3 in N 9.977 * [backup-simplify]: Simplify 1/3 into 1/3 9.977 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1) N))) in N 9.977 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 9.977 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.977 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.977 * [taylor]: Taking taylor expansion of N in N 9.977 * [backup-simplify]: Simplify 0 into 0 9.977 * [backup-simplify]: Simplify 1 into 1 9.977 * [taylor]: Taking taylor expansion of 1 in N 9.977 * [backup-simplify]: Simplify 1 into 1 9.977 * [taylor]: Taking taylor expansion of N in N 9.977 * [backup-simplify]: Simplify 0 into 0 9.977 * [backup-simplify]: Simplify 1 into 1 9.978 * [backup-simplify]: Simplify (+ 0 1) into 1 9.978 * [backup-simplify]: Simplify (/ 1 1) into 1 9.979 * [backup-simplify]: Simplify (log 1) into 0 9.979 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.979 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.979 * [backup-simplify]: Simplify (log (- (log N))) into (log (- (log N))) 9.980 * [backup-simplify]: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) 9.980 * [backup-simplify]: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) 9.980 * [backup-simplify]: Simplify (pow (- (log N)) 1/3) into (pow (- (log N)) 1/3) 9.981 * [backup-simplify]: Simplify (+ 1 0) into 1 9.982 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 9.983 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.984 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.985 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log N)) 1)))) 1) into (/ -1 (log N)) 9.985 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 (log N))) (* 0 (log (- (log N))))) into (- (* 1/3 (/ 1 (log N)))) 9.986 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (log N)))) 1) 1)))) into (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3)) 9.986 * [backup-simplify]: Simplify (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3)) into (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3)) 9.986 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.987 * [backup-simplify]: Simplify (+ 0 0) into 0 9.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 9.990 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.991 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.993 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) 9.993 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (+ (* 0 (/ -1 (log N))) (* 0 (log (- (log N)))))) into (- (* 1/6 (/ 1 (log N))) (* 1/6 (/ 1 (pow (log N) 2)))) 9.994 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (log N)))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (log N))) (* 1/6 (/ 1 (pow (log N) 2)))) 1) 1)))) into (* (pow (* (log N) -1) 1/3) (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (pow (log N) 2))))) 9.994 * [backup-simplify]: Simplify (* (pow (* (log N) -1) 1/3) (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (pow (log N) 2))))) into (* (pow (* (log N) -1) 1/3) (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (pow (log N) 2))))) 9.995 * [backup-simplify]: Simplify (+ (* (* (pow (* (log N) -1) 1/3) (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (pow (log N) 2))))) (pow N 2)) (+ (* (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3)) N) (pow (- (log N)) 1/3))) into (- (+ (pow (- (log N)) 1/3) (* 1/6 (* (pow (/ -1 (pow (log N) 2)) 1/3) (pow N 2)))) (+ (* 1/9 (* (pow (/ -1 (pow (log N) 5)) 1/3) (pow N 2))) (* 1/3 (* (pow (/ -1 (pow (log N) 2)) 1/3) N)))) 9.996 * [backup-simplify]: Simplify (cbrt (log (/ (+ 1 (/ 1 N)) (/ 1 N)))) into (pow (log (* N (+ (/ 1 N) 1))) 1/3) 9.996 * [approximate]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1))) 1/3) in (N) around 0 9.996 * [taylor]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1))) 1/3) in N 9.996 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (* N (+ (/ 1 N) 1)))))) in N 9.996 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (* N (+ (/ 1 N) 1))))) in N 9.996 * [taylor]: Taking taylor expansion of 1/3 in N 9.996 * [backup-simplify]: Simplify 1/3 into 1/3 9.996 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1)))) in N 9.996 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 9.996 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.996 * [taylor]: Taking taylor expansion of N in N 9.996 * [backup-simplify]: Simplify 0 into 0 9.996 * [backup-simplify]: Simplify 1 into 1 9.996 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.996 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.996 * [taylor]: Taking taylor expansion of N in N 9.996 * [backup-simplify]: Simplify 0 into 0 9.996 * [backup-simplify]: Simplify 1 into 1 9.997 * [backup-simplify]: Simplify (/ 1 1) into 1 9.997 * [taylor]: Taking taylor expansion of 1 in N 9.997 * [backup-simplify]: Simplify 1 into 1 9.997 * [backup-simplify]: Simplify (+ 1 0) into 1 9.997 * [backup-simplify]: Simplify (* 0 1) into 0 9.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.999 * [backup-simplify]: Simplify (+ 0 1) into 1 9.999 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 10.000 * [backup-simplify]: Simplify (log 1) into 0 10.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.001 * [backup-simplify]: Simplify (+ 0 0) into 0 10.008 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 10.010 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 10.010 * [backup-simplify]: Simplify (log 1) into 0 10.011 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.011 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 10.011 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 10.011 * [taylor]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1))) 1/3) in N 10.011 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (* N (+ (/ 1 N) 1)))))) in N 10.011 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (* N (+ (/ 1 N) 1))))) in N 10.011 * [taylor]: Taking taylor expansion of 1/3 in N 10.011 * [backup-simplify]: Simplify 1/3 into 1/3 10.011 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1)))) in N 10.011 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 10.011 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 10.011 * [taylor]: Taking taylor expansion of N in N 10.011 * [backup-simplify]: Simplify 0 into 0 10.011 * [backup-simplify]: Simplify 1 into 1 10.011 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 10.011 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.011 * [taylor]: Taking taylor expansion of N in N 10.011 * [backup-simplify]: Simplify 0 into 0 10.011 * [backup-simplify]: Simplify 1 into 1 10.012 * [backup-simplify]: Simplify (/ 1 1) into 1 10.012 * [taylor]: Taking taylor expansion of 1 in N 10.012 * [backup-simplify]: Simplify 1 into 1 10.012 * [backup-simplify]: Simplify (+ 1 0) into 1 10.013 * [backup-simplify]: Simplify (* 0 1) into 0 10.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.014 * [backup-simplify]: Simplify (+ 0 1) into 1 10.015 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 10.015 * [backup-simplify]: Simplify (log 1) into 0 10.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.016 * [backup-simplify]: Simplify (+ 0 0) into 0 10.016 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 10.017 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 10.018 * [backup-simplify]: Simplify (log 1) into 0 10.018 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.018 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 10.018 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 10.018 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 10.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.019 * [backup-simplify]: Simplify (+ 0 0) into 0 10.019 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 10.021 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 10.022 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 10.022 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.022 * [backup-simplify]: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) 10.023 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) 10.023 * [backup-simplify]: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) 10.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.024 * [backup-simplify]: Simplify (+ 0 0) into 0 10.025 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 10.027 * [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 10.029 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 10.030 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.030 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 10.031 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) 10.031 * [backup-simplify]: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) 10.032 * [backup-simplify]: Simplify (+ (* (* 1/12 (pow (/ 1 N) 1/3)) (pow (/ 1 N) 2)) (+ (* (* -1/6 (pow (/ 1 N) 1/3)) (/ 1 N)) (pow (/ 1 N) 1/3))) into (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) 10.032 * [backup-simplify]: Simplify (cbrt (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))))) into (pow (log (* -1 (* N (- 1 (/ 1 N))))) 1/3) 10.032 * [approximate]: Taking taylor expansion of (pow (log (* -1 (* N (- 1 (/ 1 N))))) 1/3) in (N) around 0 10.032 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (- 1 (/ 1 N))))) 1/3) in N 10.032 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (* -1 (* N (- 1 (/ 1 N)))))))) in N 10.032 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (* -1 (* N (- 1 (/ 1 N))))))) in N 10.032 * [taylor]: Taking taylor expansion of 1/3 in N 10.032 * [backup-simplify]: Simplify 1/3 into 1/3 10.032 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1 (/ 1 N)))))) in N 10.032 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 10.032 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 10.032 * [taylor]: Taking taylor expansion of -1 in N 10.032 * [backup-simplify]: Simplify -1 into -1 10.032 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 10.032 * [taylor]: Taking taylor expansion of N in N 10.032 * [backup-simplify]: Simplify 0 into 0 10.032 * [backup-simplify]: Simplify 1 into 1 10.032 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 10.032 * [taylor]: Taking taylor expansion of 1 in N 10.032 * [backup-simplify]: Simplify 1 into 1 10.032 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.032 * [taylor]: Taking taylor expansion of N in N 10.032 * [backup-simplify]: Simplify 0 into 0 10.032 * [backup-simplify]: Simplify 1 into 1 10.032 * [backup-simplify]: Simplify (/ 1 1) into 1 10.033 * [backup-simplify]: Simplify (- 1) into -1 10.033 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.033 * [backup-simplify]: Simplify (* 0 -1) into 0 10.033 * [backup-simplify]: Simplify (* -1 0) into 0 10.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.034 * [backup-simplify]: Simplify (- 0) into 0 10.034 * [backup-simplify]: Simplify (+ 1 0) into 1 10.035 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 10.035 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 10.035 * [backup-simplify]: Simplify (log 1) into 0 10.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.036 * [backup-simplify]: Simplify (- 0) into 0 10.036 * [backup-simplify]: Simplify (+ 0 0) into 0 10.037 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 10.038 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 10.038 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 10.039 * [backup-simplify]: Simplify (log -1) into (log -1) 10.039 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 10.039 * [backup-simplify]: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) 10.040 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 10.040 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (- 1 (/ 1 N))))) 1/3) in N 10.040 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (* -1 (* N (- 1 (/ 1 N)))))))) in N 10.040 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (* -1 (* N (- 1 (/ 1 N))))))) in N 10.040 * [taylor]: Taking taylor expansion of 1/3 in N 10.040 * [backup-simplify]: Simplify 1/3 into 1/3 10.040 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1 (/ 1 N)))))) in N 10.040 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 10.040 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 10.040 * [taylor]: Taking taylor expansion of -1 in N 10.040 * [backup-simplify]: Simplify -1 into -1 10.040 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 10.040 * [taylor]: Taking taylor expansion of N in N 10.040 * [backup-simplify]: Simplify 0 into 0 10.040 * [backup-simplify]: Simplify 1 into 1 10.040 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 10.040 * [taylor]: Taking taylor expansion of 1 in N 10.040 * [backup-simplify]: Simplify 1 into 1 10.040 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.040 * [taylor]: Taking taylor expansion of N in N 10.040 * [backup-simplify]: Simplify 0 into 0 10.040 * [backup-simplify]: Simplify 1 into 1 10.040 * [backup-simplify]: Simplify (/ 1 1) into 1 10.040 * [backup-simplify]: Simplify (- 1) into -1 10.041 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.041 * [backup-simplify]: Simplify (* 0 -1) into 0 10.041 * [backup-simplify]: Simplify (* -1 0) into 0 10.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.042 * [backup-simplify]: Simplify (- 0) into 0 10.042 * [backup-simplify]: Simplify (+ 1 0) into 1 10.043 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 10.043 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 10.043 * [backup-simplify]: Simplify (log 1) into 0 10.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.044 * [backup-simplify]: Simplify (- 0) into 0 10.044 * [backup-simplify]: Simplify (+ 0 0) into 0 10.045 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 10.045 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 10.046 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 10.046 * [backup-simplify]: Simplify (log -1) into (log -1) 10.047 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 10.047 * [backup-simplify]: Simplify (* 1/3 (+ (log N) (log -1))) into (* 1/3 (+ (log N) (log -1))) 10.048 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 10.048 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log N) (log -1)))) into (exp (* 1/3 (+ (log N) (log -1)))) 10.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.049 * [backup-simplify]: Simplify (- 0) into 0 10.049 * [backup-simplify]: Simplify (+ 0 0) into 0 10.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 10.050 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 10.052 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 10.053 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow -1 1)))) 1) into 1/2 10.053 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 10.054 * [backup-simplify]: Simplify (+ (* 1/3 1/2) (* 0 (+ (log N) (log -1)))) into 1/6 10.054 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 1) 1)))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) 10.055 * [backup-simplify]: Simplify (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/6 (exp (* 1/3 (+ (log N) (log -1))))) 10.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.056 * [backup-simplify]: Simplify (- 0) into 0 10.056 * [backup-simplify]: Simplify (+ 0 0) into 0 10.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 10.057 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 10.060 * [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 10.062 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -1/3) 1)) (pow -1 1)))) 2) into 5/24 10.062 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log -1)) into (+ (log N) (log -1)) 10.063 * [backup-simplify]: Simplify (+ (* 1/3 5/24) (+ (* 0 1/2) (* 0 (+ (log N) (log -1))))) into 5/72 10.064 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log N) (log -1)))) (+ (* (/ (pow 1/6 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) 10.065 * [backup-simplify]: Simplify (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) into (* 1/12 (exp (* 1/3 (+ (log N) (log -1))))) 10.066 * [backup-simplify]: Simplify (+ (* (* 1/12 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (pow (/ 1 (- N)) 2)) (+ (* (* 1/6 (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1))))) (/ 1 (- N))) (exp (* 1/3 (+ (log (/ 1 (- N))) (log -1)))))) into (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) 10.066 * * * [progress]: simplifying candidates 10.066 * * * * [progress]: [ 1 / 117 ] simplifiying candidate # 10.066 * * * * [progress]: [ 2 / 117 ] simplifiying candidate # 10.066 * * * * [progress]: [ 3 / 117 ] simplifiying candidate # 10.066 * * * * [progress]: [ 4 / 117 ] simplifiying candidate # 10.066 * * * * [progress]: [ 5 / 117 ] simplifiying candidate # 10.066 * * * * [progress]: [ 6 / 117 ] simplifiying candidate # 10.066 * * * * [progress]: [ 7 / 117 ] simplifiying candidate # 10.066 * * * * [progress]: [ 8 / 117 ] simplifiying candidate # 10.066 * * * * [progress]: [ 9 / 117 ] simplifiying candidate # 10.066 * * * * [progress]: [ 10 / 117 ] simplifiying candidate # 10.066 * * * * [progress]: [ 11 / 117 ] simplifiying candidate # 10.066 * * * * [progress]: [ 12 / 117 ] simplifiying candidate # 10.066 * * * * [progress]: [ 13 / 117 ] simplifiying candidate # 10.066 * * * * [progress]: [ 14 / 117 ] simplifiying candidate # 10.066 * * * * [progress]: [ 15 / 117 ] simplifiying candidate # 10.066 * * * * [progress]: [ 16 / 117 ] simplifiying candidate # 10.067 * * * * [progress]: [ 17 / 117 ] simplifiying candidate # 10.067 * * * * [progress]: [ 18 / 117 ] simplifiying candidate # 10.067 * * * * [progress]: [ 19 / 117 ] simplifiying candidate # 10.067 * * * * [progress]: [ 20 / 117 ] simplifiying candidate # 10.067 * * * * [progress]: [ 21 / 117 ] simplifiying candidate # 10.067 * * * * [progress]: [ 22 / 117 ] simplifiying candidate # 10.067 * * * * [progress]: [ 23 / 117 ] simplifiying candidate # 10.067 * * * * [progress]: [ 24 / 117 ] simplifiying candidate # 10.067 * * * * [progress]: [ 25 / 117 ] simplifiying candidate # 10.067 * * * * [progress]: [ 26 / 117 ] simplifiying candidate # 10.067 * * * * [progress]: [ 27 / 117 ] simplifiying candidate # 10.067 * * * * [progress]: [ 28 / 117 ] simplifiying candidate # 10.067 * * * * [progress]: [ 29 / 117 ] simplifiying candidate # 10.067 * * * * [progress]: [ 30 / 117 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))))> 10.067 * * * * [progress]: [ 31 / 117 ] simplifiying candidate # 10.067 * * * * [progress]: [ 32 / 117 ] simplifiying candidate # 10.067 * * * * [progress]: [ 33 / 117 ] simplifiying candidate # 10.067 * * * * [progress]: [ 34 / 117 ] simplifiying candidate # 10.067 * * * * [progress]: [ 35 / 117 ] simplifiying candidate # 10.067 * * * * [progress]: [ 36 / 117 ] simplifiying candidate # 10.067 * * * * [progress]: [ 37 / 117 ] simplifiying candidate # 10.067 * * * * [progress]: [ 38 / 117 ] simplifiying candidate # 10.067 * * * * [progress]: [ 39 / 117 ] simplifiying candidate # 10.068 * * * * [progress]: [ 40 / 117 ] simplifiying candidate # 10.068 * * * * [progress]: [ 41 / 117 ] simplifiying candidate # 10.068 * * * * [progress]: [ 42 / 117 ] simplifiying candidate # 10.068 * * * * [progress]: [ 43 / 117 ] simplifiying candidate # 10.068 * * * * [progress]: [ 44 / 117 ] simplifiying candidate # 10.068 * * * * [progress]: [ 45 / 117 ] simplifiying candidate # 10.068 * * * * [progress]: [ 46 / 117 ] simplifiying candidate # 10.068 * * * * [progress]: [ 47 / 117 ] simplifiying candidate # 10.068 * * * * [progress]: [ 48 / 117 ] simplifiying candidate # 10.068 * * * * [progress]: [ 49 / 117 ] simplifiying candidate # 10.068 * * * * [progress]: [ 50 / 117 ] simplifiying candidate # 10.068 * * * * [progress]: [ 51 / 117 ] simplifiying candidate # 10.068 * * * * [progress]: [ 52 / 117 ] simplifiying candidate # 10.068 * * * * [progress]: [ 53 / 117 ] simplifiying candidate # 10.068 * * * * [progress]: [ 54 / 117 ] simplifiying candidate # 10.068 * * * * [progress]: [ 55 / 117 ] simplifiying candidate # 10.068 * * * * [progress]: [ 56 / 117 ] simplifiying candidate # 10.068 * * * * [progress]: [ 57 / 117 ] simplifiying candidate # 10.068 * * * * [progress]: [ 58 / 117 ] simplifiying candidate # 10.068 * * * * [progress]: [ 59 / 117 ] simplifiying candidate # 10.068 * * * * [progress]: [ 60 / 117 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))) (cbrt (log (/ (+ 1 N) N)))))> 10.068 * * * * [progress]: [ 61 / 117 ] simplifiying candidate # 10.068 * * * * [progress]: [ 62 / 117 ] simplifiying candidate # 10.068 * * * * [progress]: [ 63 / 117 ] simplifiying candidate # 10.068 * * * * [progress]: [ 64 / 117 ] simplifiying candidate # 10.069 * * * * [progress]: [ 65 / 117 ] simplifiying candidate # 10.069 * * * * [progress]: [ 66 / 117 ] simplifiying candidate # 10.069 * * * * [progress]: [ 67 / 117 ] simplifiying candidate # 10.069 * * * * [progress]: [ 68 / 117 ] simplifiying candidate # 10.069 * * * * [progress]: [ 69 / 117 ] simplifiying candidate # 10.069 * * * * [progress]: [ 70 / 117 ] simplifiying candidate # 10.069 * * * * [progress]: [ 71 / 117 ] simplifiying candidate # 10.069 * * * * [progress]: [ 72 / 117 ] simplifiying candidate # 10.069 * * * * [progress]: [ 73 / 117 ] simplifiying candidate # 10.069 * * * * [progress]: [ 74 / 117 ] simplifiying candidate # 10.069 * * * * [progress]: [ 75 / 117 ] simplifiying candidate # 10.069 * * * * [progress]: [ 76 / 117 ] simplifiying candidate # 10.069 * * * * [progress]: [ 77 / 117 ] simplifiying candidate # 10.069 * * * * [progress]: [ 78 / 117 ] simplifiying candidate # 10.069 * * * * [progress]: [ 79 / 117 ] simplifiying candidate # 10.069 * * * * [progress]: [ 80 / 117 ] simplifiying candidate # 10.069 * * * * [progress]: [ 81 / 117 ] simplifiying candidate # 10.069 * * * * [progress]: [ 82 / 117 ] simplifiying candidate # 10.069 * * * * [progress]: [ 83 / 117 ] simplifiying candidate # 10.069 * * * * [progress]: [ 84 / 117 ] simplifiying candidate # 10.069 * * * * [progress]: [ 85 / 117 ] simplifiying candidate # 10.069 * * * * [progress]: [ 86 / 117 ] simplifiying candidate # 10.069 * * * * [progress]: [ 87 / 117 ] simplifiying candidate # 10.069 * * * * [progress]: [ 88 / 117 ] simplifiying candidate # 10.069 * * * * [progress]: [ 89 / 117 ] simplifiying candidate # 10.070 * * * * [progress]: [ 90 / 117 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N))))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N)))))> 10.070 * * * * [progress]: [ 91 / 117 ] simplifiying candidate # 10.070 * * * * [progress]: [ 92 / 117 ] simplifiying candidate # 10.070 * * * * [progress]: [ 93 / 117 ] simplifiying candidate # 10.070 * * * * [progress]: [ 94 / 117 ] simplifiying candidate # 10.070 * * * * [progress]: [ 95 / 117 ] simplifiying candidate # 10.070 * * * * [progress]: [ 96 / 117 ] simplifiying candidate # 10.070 * * * * [progress]: [ 97 / 117 ] simplifiying candidate # 10.070 * * * * [progress]: [ 98 / 117 ] simplifiying candidate # 10.070 * * * * [progress]: [ 99 / 117 ] simplifiying candidate # 10.070 * * * * [progress]: [ 100 / 117 ] simplifiying candidate # 10.070 * * * * [progress]: [ 101 / 117 ] simplifiying candidate # 10.070 * * * * [progress]: [ 102 / 117 ] simplifiying candidate # 10.070 * * * * [progress]: [ 103 / 117 ] simplifiying candidate # 10.070 * * * * [progress]: [ 104 / 117 ] simplifiying candidate # 10.070 * * * * [progress]: [ 105 / 117 ] simplifiying candidate #real (real->posit16 (cbrt (log (/ (+ 1 N) N)))))))> 10.070 * * * * [progress]: [ 106 / 117 ] simplifiying candidate # 10.070 * * * * [progress]: [ 107 / 117 ] simplifiying candidate # 10.070 * * * * [progress]: [ 108 / 117 ] simplifiying candidate # 10.070 * * * * [progress]: [ 109 / 117 ] simplifiying candidate # 10.070 * * * * [progress]: [ 110 / 117 ] simplifiying candidate # 10.070 * * * * [progress]: [ 111 / 117 ] simplifiying candidate # 10.070 * * * * [progress]: [ 112 / 117 ] simplifiying candidate # 10.070 * * * * [progress]: [ 113 / 117 ] simplifiying candidate # 10.070 * * * * [progress]: [ 114 / 117 ] simplifiying candidate # 10.070 * * * * [progress]: [ 115 / 117 ] simplifiying candidate # 10.070 * * * * [progress]: [ 116 / 117 ] simplifiying candidate # 10.070 * * * * [progress]: [ 117 / 117 ] simplifiying candidate # 10.072 * [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 (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 (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 (cbrt (log (/ (+ 1 N) N)))) (log1p (cbrt (log (/ (+ 1 N) N)))) (log (cbrt (log (/ (+ 1 N) N)))) (exp (cbrt (log (/ (+ 1 N) N)))) (cbrt 1) (cbrt (log (/ (+ 1 N) N))) (cbrt (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N))))) (cbrt (cbrt (log (/ (+ 1 N) N)))) (cbrt (sqrt (log (/ (+ 1 N) N)))) (cbrt (sqrt (log (/ (+ 1 N) N)))) (cbrt 1) (cbrt (log (/ (+ 1 N) N))) (* (cbrt (cbrt (log (/ (+ 1 N) N)))) (cbrt (cbrt (log (/ (+ 1 N) N))))) (cbrt (cbrt (log (/ (+ 1 N) N)))) (* (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N)))) (sqrt (cbrt (log (/ (+ 1 N) N)))) (sqrt (cbrt (log (/ (+ 1 N) N)))) (real->posit16 (cbrt (log (/ (+ 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)))) (- 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)))) (- 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)))) (- (+ (pow (- (log N)) 1/3) (* 1/6 (* (pow (/ -1 (pow (log N) 2)) 1/3) (pow N 2)))) (+ (* 1/9 (* (pow (/ -1 (pow (log N) 5)) 1/3) (pow N 2))) (* 1/3 (* (pow (/ -1 (pow (log N) 2)) 1/3) N)))) (- (+ (pow (/ 1 N) 1/3) (* 1/12 (pow (/ 1 (pow N 7)) 1/3))) (* 1/6 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (* 1/12 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) (pow N 2)))) (* 1/6 (/ (exp (* 1/3 (+ (log (/ -1 N)) (log -1)))) N))) 10.073 * * [simplify]: iteration 0: 138 enodes 10.116 * * [simplify]: iteration 1: 297 enodes 10.206 * * [simplify]: iteration 2: 765 enodes 10.654 * * [simplify]: iteration 3: 2480 enodes 11.543 * * [simplify]: iteration complete: 5032 enodes 11.543 * * [simplify]: Extracting #0: cost 48 inf + 0 11.545 * * [simplify]: Extracting #1: cost 385 inf + 2 11.553 * * [simplify]: Extracting #2: cost 1147 inf + 1967 11.569 * * [simplify]: Extracting #3: cost 1111 inf + 52972 11.596 * * [simplify]: Extracting #4: cost 651 inf + 150921 11.651 * * [simplify]: Extracting #5: cost 405 inf + 230718 11.736 * * [simplify]: Extracting #6: cost 180 inf + 302394 11.813 * * [simplify]: Extracting #7: cost 84 inf + 341192 11.911 * * [simplify]: Extracting #8: cost 24 inf + 377119 12.023 * * [simplify]: Extracting #9: cost 2 inf + 390251 12.136 * * [simplify]: Extracting #10: cost 0 inf + 391886 12.248 * * [simplify]: Extracting #11: cost 0 inf + 391846 12.362 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1) N))) (log1p (log (/ (+ N 1) N))) (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (cbrt N)))) (log (/ (cbrt (+ N 1)) (cbrt N))) (log (* (/ (cbrt (+ N 1)) (sqrt N)) (cbrt (+ N 1)))) (log (/ (cbrt (+ N 1)) (sqrt N))) (+ (log (cbrt (+ N 1))) (log (cbrt (+ N 1)))) (log (/ (cbrt (+ N 1)) N)) (log (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1)) (cbrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (sqrt (+ N 1))) (log (/ (sqrt (+ N 1)) N)) (- (+ (log (cbrt N)) (log (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) (- (+ (log (cbrt N)) (log (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) 0 (log (/ (+ N 1) N)) (log1p N) (- (log N)) (log1p N) (log N) (log (/ (+ N 1) N)) (log (log (/ (+ N 1) N))) (/ (+ N 1) N) (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) (cbrt (log (/ (+ N 1) N))) (* (log (/ (+ N 1) N)) (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N)))) (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (real->posit16 (log (/ (+ N 1) N))) (expm1 (log (/ (+ N 1) N))) (log1p (log (/ (+ N 1) N))) (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (cbrt N)))) (log (/ (cbrt (+ N 1)) (cbrt N))) (log (* (/ (cbrt (+ N 1)) (sqrt N)) (cbrt (+ N 1)))) (log (/ (cbrt (+ N 1)) (sqrt N))) (+ (log (cbrt (+ N 1))) (log (cbrt (+ N 1)))) (log (/ (cbrt (+ N 1)) N)) (log (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1)) (cbrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (sqrt (+ N 1))) (log (/ (sqrt (+ N 1)) N)) (- (+ (log (cbrt N)) (log (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) (- (+ (log (cbrt N)) (log (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) 0 (log (/ (+ N 1) N)) (log1p N) (- (log N)) (log1p N) (log N) (log (/ (+ N 1) N)) (log (log (/ (+ N 1) N))) (/ (+ N 1) N) (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) (cbrt (log (/ (+ N 1) N))) (* (log (/ (+ N 1) N)) (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N)))) (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (real->posit16 (log (/ (+ N 1) N))) (expm1 (log (/ (+ N 1) N))) (log1p (log (/ (+ N 1) N))) (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (* (/ (cbrt (+ N 1)) (cbrt N)) (/ (cbrt (+ N 1)) (cbrt N)))) (log (/ (cbrt (+ N 1)) (cbrt N))) (log (* (/ (cbrt (+ N 1)) (sqrt N)) (cbrt (+ N 1)))) (log (/ (cbrt (+ N 1)) (sqrt N))) (+ (log (cbrt (+ N 1))) (log (cbrt (+ N 1)))) (log (/ (cbrt (+ N 1)) N)) (log (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1)) (cbrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (sqrt (+ N 1))) (log (/ (sqrt (+ N 1)) N)) (- (+ (log (cbrt N)) (log (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) (- (+ (log (cbrt N)) (log (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1) (sqrt N))) 0 (log (/ (+ N 1) N)) 0 (log (/ (+ N 1) N)) (log1p N) (- (log N)) (log1p N) (log N) (log (/ (+ N 1) N)) (log (log (/ (+ N 1) N))) (/ (+ N 1) N) (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) (cbrt (log (/ (+ N 1) N))) (* (log (/ (+ N 1) N)) (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N)))) (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (real->posit16 (log (/ (+ N 1) N))) (expm1 (cbrt (log (/ (+ N 1) N)))) (log1p (cbrt (log (/ (+ N 1) N)))) (log (cbrt (log (/ (+ N 1) N)))) (exp (cbrt (log (/ (+ N 1) N)))) 1 (cbrt (log (/ (+ N 1) N))) (cbrt (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N))))) (cbrt (cbrt (log (/ (+ N 1) N)))) (cbrt (sqrt (log (/ (+ N 1) N)))) (cbrt (sqrt (log (/ (+ N 1) N)))) 1 (cbrt (log (/ (+ N 1) N))) (* (cbrt (cbrt (log (/ (+ N 1) N)))) (cbrt (cbrt (log (/ (+ N 1) N))))) (cbrt (cbrt (log (/ (+ N 1) N)))) (log (/ (+ N 1) N)) (sqrt (cbrt (log (/ (+ N 1) N)))) (sqrt (cbrt (log (/ (+ N 1) N)))) (real->posit16 (cbrt (log (/ (+ N 1) N)))) (- N (fma N (* 1/2 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)) (- N (fma N (* 1/2 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)) (- N (fma N (* 1/2 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)) (fma (* N (cbrt (/ (/ -1 (log N)) (log N)))) -1/3 (+ (* (* N N) (- (* 1/6 (cbrt (/ (/ -1 (log N)) (log N)))) (* 1/9 (cbrt (/ -1 (pow (log N) 5)))))) (cbrt (- (log N))))) (fma (cbrt (/ 1 (pow N 7))) 1/12 (fma (cbrt (/ (/ 1 (* N N)) (* N N))) -1/6 (cbrt (/ 1 N)))) (fma (/ (cbrt (* (/ -1 N) -1)) N) (- (/ 1/12 N) 1/6) (cbrt (* (/ -1 N) -1))) 12.382 * * * [progress]: adding candidates to table 12.930 * [progress]: [Phase 3 of 3] Extracting. 12.930 * * [regime]: Finding splitpoints for: (# # # # #) 12.931 * * * [regime-changes]: Trying 1 branch expressions: (N) 12.931 * * * * [regimes]: Trying to branch on N from (# # # # #) 12.980 * * * [regime]: Found split indices: #