22.018 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.068 * * * [progress]: [2/2] Setting up program. 0.083 * [progress]: [Phase 2 of 3] Improving. 0.083 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.084 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.084 * * [simplify]: iteration 1: (6 enodes) 0.085 * * [simplify]: iteration 2: (9 enodes) 0.087 * * [simplify]: iteration 3: (11 enodes) 0.088 * * [simplify]: Extracting #0: cost 1 inf + 0 0.088 * * [simplify]: Extracting #1: cost 4 inf + 0 0.088 * * [simplify]: Extracting #2: cost 6 inf + 0 0.088 * * [simplify]: Extracting #3: cost 6 inf + 1 0.088 * * [simplify]: Extracting #4: cost 0 inf + 518 0.088 * [simplify]: Simplified to: (- (log1p N) (log N)) 0.094 * * [progress]: iteration 1 / 4 0.094 * * * [progress]: picking best candidate 0.097 * * * * [pick]: Picked # 0.097 * * * [progress]: localizing error 0.106 * * * [progress]: generating rewritten candidates 0.106 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.113 * * * [progress]: generating series expansions 0.113 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.116 * [backup-simplify]: Simplify (- (log1p N) (log N)) into (- (log1p N) (log N)) 0.116 * [approximate]: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0 0.116 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.116 * [taylor]: Taking taylor expansion of (log1p N) in N 0.117 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.117 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.117 * [taylor]: Taking taylor expansion of 1 in N 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [taylor]: Taking taylor expansion of N in N 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (+ 1 0) into 1 0.118 * [backup-simplify]: Simplify (log 1) into 0 0.119 * [taylor]: Taking taylor expansion of (log N) in N 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 (log 1) into 0 0.119 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.119 * [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 0.119 * [backup-simplify]: Simplify (log 1) into 0 0.119 * [taylor]: Taking taylor expansion of (log N) in N 0.119 * [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 0.122 * [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 0.126 * [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 0.128 * [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 0.130 * [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 (+ 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 0.131 * [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 (log 1) into 0 0.131 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.131 * [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 0.132 * [backup-simplify]: Simplify (+ 0 1) into 1 0.132 * [backup-simplify]: Simplify (log 1) into 0 0.132 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.132 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.132 * [taylor]: Taking taylor expansion of N in N 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [backup-simplify]: Simplify (log 1) into 0 0.133 * [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 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (+ 1 0) into 1 0.135 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.136 * [backup-simplify]: Simplify (- 0) into 0 0.136 * [backup-simplify]: Simplify (+ 1 0) into 1 0.136 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [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 0.141 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.141 * [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 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [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 0.148 * [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 0.149 * [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)))) 0.149 * [backup-simplify]: Simplify (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) into (- (log1p (/ -1 N)) (log (/ -1 N))) 0.149 * [approximate]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in (N) around 0 0.149 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.149 * [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 0.150 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.150 * [backup-simplify]: Simplify (log -1) into (log -1) 0.150 * [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 0.151 * [backup-simplify]: Simplify (log -1) into (log -1) 0.151 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.151 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.151 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.151 * [taylor]: Taking taylor expansion of (+ 1 (/ -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 (/ -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 0.151 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.152 * [backup-simplify]: Simplify (log -1) into (log -1) 0.152 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.152 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.152 * [taylor]: Taking taylor expansion of -1 in N 0.152 * [backup-simplify]: Simplify -1 into -1 0.152 * [taylor]: Taking taylor expansion of N in N 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (/ -1 1) into -1 0.152 * [backup-simplify]: Simplify (log -1) into (log -1) 0.153 * [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 0.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ 1 0) into 1 0.156 * [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 0.162 * [backup-simplify]: Simplify (+ -1 0) into -1 0.162 * [backup-simplify]: Simplify -1 into -1 0.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.167 * [backup-simplify]: Simplify (- 0) into 0 0.168 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.168 * [backup-simplify]: Simplify -1/2 into -1/2 0.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [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 0.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.175 * [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 # 0.176 * * * * [progress]: [ 12 / 40 ] simplifiying candidate # 0.176 * * * * [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 1: (83 enodes) 0.211 * * [simplify]: iteration 2: (184 enodes) 0.306 * * [simplify]: iteration 3: (372 enodes) 0.538 * * [simplify]: iteration 4: (962 enodes) 2.073 * * [simplify]: Extracting #0: cost 24 inf + 0 2.073 * * [simplify]: Extracting #1: cost 192 inf + 1 2.076 * * [simplify]: Extracting #2: cost 477 inf + 3698 2.084 * * [simplify]: Extracting #3: cost 347 inf + 51295 2.104 * * [simplify]: Extracting #4: cost 90 inf + 137947 2.127 * * [simplify]: Extracting #5: cost 3 inf + 179535 2.163 * * [simplify]: Extracting #6: cost 0 inf + 179870 2.202 * [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 (log N) (+ (log N) (log1p N)) (* (log1p N) (log1p 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))) (- N (fma (* N N) 1/2 (log N))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) (+ (/ -1/2 (* N N)) (+ (/ 1 N) (/ (/ 1/3 N) (* N N)))) 2.207 * * * [progress]: adding candidates to table 2.391 * * [progress]: iteration 2 / 4 2.391 * * * [progress]: picking best candidate 2.395 * * * * [pick]: Picked # 2.395 * * * [progress]: localizing error 2.410 * * * [progress]: generating rewritten candidates 2.410 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.411 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 2.413 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 2.416 * * * [progress]: generating series expansions 2.416 * * * * [progress]: [ 1 / 3 ] generating series at (2) 2.417 * [backup-simplify]: Simplify (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) into (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 2.417 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in (N) around 0 2.417 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in N 2.417 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p N)) (sqrt (log1p N))) (- (log N))) 2.417 * [taylor]: Taking taylor expansion of (* (sqrt (log1p N)) (sqrt (log1p N))) in N 2.417 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 2.417 * [taylor]: Taking taylor expansion of (log1p N) in N 2.417 * [taylor]: Rewrote expression to (log (+ 1 N)) 2.417 * [taylor]: Taking taylor expansion of (+ 1 N) in N 2.417 * [taylor]: Taking taylor expansion of 1 in N 2.417 * [backup-simplify]: Simplify 1 into 1 2.417 * [taylor]: Taking taylor expansion of N in N 2.417 * [backup-simplify]: Simplify 0 into 0 2.417 * [backup-simplify]: Simplify 1 into 1 2.418 * [backup-simplify]: Simplify (+ 1 0) into 1 2.418 * [backup-simplify]: Simplify (log 1) into 0 2.419 * [backup-simplify]: Simplify (+ 0 1) into 1 2.420 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.421 * [backup-simplify]: Simplify (sqrt 0) into 0 2.423 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.423 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 2.423 * [taylor]: Taking taylor expansion of (log1p N) in N 2.423 * [taylor]: Rewrote expression to (log (+ 1 N)) 2.423 * [taylor]: Taking taylor expansion of (+ 1 N) in N 2.423 * [taylor]: Taking taylor expansion of 1 in N 2.423 * [backup-simplify]: Simplify 1 into 1 2.423 * [taylor]: Taking taylor expansion of N in N 2.423 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify 1 into 1 2.423 * [backup-simplify]: Simplify (+ 1 0) into 1 2.424 * [backup-simplify]: Simplify (log 1) into 0 2.424 * [backup-simplify]: Simplify (+ 0 1) into 1 2.425 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.426 * [backup-simplify]: Simplify (sqrt 0) into 0 2.427 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.427 * [taylor]: Taking taylor expansion of (- (log N)) in N 2.427 * [taylor]: Taking taylor expansion of (log N) in N 2.427 * [taylor]: Taking taylor expansion of N in N 2.427 * [backup-simplify]: Simplify 0 into 0 2.427 * [backup-simplify]: Simplify 1 into 1 2.428 * [backup-simplify]: Simplify (log 1) into 0 2.428 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in N 2.428 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p N)) (sqrt (log1p N))) (- (log N))) 2.428 * [taylor]: Taking taylor expansion of (* (sqrt (log1p N)) (sqrt (log1p N))) in N 2.428 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 2.428 * [taylor]: Taking taylor expansion of (log1p N) in N 2.428 * [taylor]: Rewrote expression to (log (+ 1 N)) 2.428 * [taylor]: Taking taylor expansion of (+ 1 N) in N 2.428 * [taylor]: Taking taylor expansion of 1 in N 2.428 * [backup-simplify]: Simplify 1 into 1 2.428 * [taylor]: Taking taylor expansion of N in N 2.428 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify 1 into 1 2.429 * [backup-simplify]: Simplify (+ 1 0) into 1 2.429 * [backup-simplify]: Simplify (log 1) into 0 2.429 * [backup-simplify]: Simplify (+ 0 1) into 1 2.430 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.431 * [backup-simplify]: Simplify (sqrt 0) into 0 2.432 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.432 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 2.432 * [taylor]: Taking taylor expansion of (log1p N) in N 2.432 * [taylor]: Rewrote expression to (log (+ 1 N)) 2.432 * [taylor]: Taking taylor expansion of (+ 1 N) in N 2.432 * [taylor]: Taking taylor expansion of 1 in N 2.432 * [backup-simplify]: Simplify 1 into 1 2.432 * [taylor]: Taking taylor expansion of N in N 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify 1 into 1 2.433 * [backup-simplify]: Simplify (+ 1 0) into 1 2.433 * [backup-simplify]: Simplify (log 1) into 0 2.434 * [backup-simplify]: Simplify (+ 0 1) into 1 2.435 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.435 * [backup-simplify]: Simplify (sqrt 0) into 0 2.437 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.437 * [taylor]: Taking taylor expansion of (- (log N)) in N 2.437 * [taylor]: Taking taylor expansion of (log N) in N 2.437 * [taylor]: Taking taylor expansion of N in N 2.437 * [backup-simplify]: Simplify 0 into 0 2.437 * [backup-simplify]: Simplify 1 into 1 2.437 * [backup-simplify]: Simplify (log 1) into 0 2.439 * [backup-simplify]: Simplify (* 0 0) into 0 2.439 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.439 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 2.439 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 2.440 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 2.440 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 2.441 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.442 * [backup-simplify]: Simplify (- 0) into 0 2.442 * [backup-simplify]: Simplify (+ 0 0) into 0 2.442 * [backup-simplify]: Simplify 0 into 0 2.443 * [backup-simplify]: Simplify (+ 0 0) into 0 2.446 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.450 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.450 * [backup-simplify]: Simplify (+ 0 0) into 0 2.452 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.455 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.458 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 2.460 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.461 * [backup-simplify]: Simplify (- 0) into 0 2.462 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 2.462 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.462 * [backup-simplify]: Simplify (+ 0 0) into 0 2.467 * [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 2.471 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.471 * [backup-simplify]: Simplify (+ 0 0) into 0 2.481 * [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 2.485 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.489 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 2.493 * [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 2.494 * [backup-simplify]: Simplify (- 0) into 0 2.495 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 2.495 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.496 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 3)) (+ (* (- +nan.0) (pow N 2)) (- (log N)))) into (- (+ (* +nan.0 (pow N 2)) (- (log N) (* +nan.0 (pow N 3))))) 2.497 * [backup-simplify]: Simplify (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) into (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 2.497 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in (N) around 0 2.497 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in N 2.497 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) (- (log (/ 1 N)))) 2.497 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) in N 2.497 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 2.497 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 2.497 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 2.497 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 2.497 * [taylor]: Taking taylor expansion of 1 in N 2.497 * [backup-simplify]: Simplify 1 into 1 2.497 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.497 * [taylor]: Taking taylor expansion of N in N 2.497 * [backup-simplify]: Simplify 0 into 0 2.497 * [backup-simplify]: Simplify 1 into 1 2.497 * [backup-simplify]: Simplify (/ 1 1) into 1 2.498 * [backup-simplify]: Simplify (+ 0 1) into 1 2.498 * [backup-simplify]: Simplify (log 1) into 0 2.499 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.499 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.499 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 2.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.500 * [backup-simplify]: Simplify (+ 1 0) into 1 2.501 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.502 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.502 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 2.502 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 2.502 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 2.502 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 2.502 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 2.502 * [taylor]: Taking taylor expansion of 1 in N 2.502 * [backup-simplify]: Simplify 1 into 1 2.502 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.502 * [taylor]: Taking taylor expansion of N in N 2.502 * [backup-simplify]: Simplify 0 into 0 2.502 * [backup-simplify]: Simplify 1 into 1 2.502 * [backup-simplify]: Simplify (/ 1 1) into 1 2.503 * [backup-simplify]: Simplify (+ 0 1) into 1 2.503 * [backup-simplify]: Simplify (log 1) into 0 2.503 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.503 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.503 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 2.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.504 * [backup-simplify]: Simplify (+ 1 0) into 1 2.505 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.505 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.505 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 2.505 * [taylor]: Taking taylor expansion of (- (log (/ 1 N))) in N 2.505 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.505 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.505 * [taylor]: Taking taylor expansion of N in N 2.505 * [backup-simplify]: Simplify 0 into 0 2.505 * [backup-simplify]: Simplify 1 into 1 2.506 * [backup-simplify]: Simplify (/ 1 1) into 1 2.506 * [backup-simplify]: Simplify (log 1) into 0 2.506 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in N 2.506 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) (- (log (/ 1 N)))) 2.506 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) in N 2.506 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 2.506 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 2.506 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 2.506 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 2.506 * [taylor]: Taking taylor expansion of 1 in N 2.506 * [backup-simplify]: Simplify 1 into 1 2.506 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.506 * [taylor]: Taking taylor expansion of N in N 2.506 * [backup-simplify]: Simplify 0 into 0 2.506 * [backup-simplify]: Simplify 1 into 1 2.506 * [backup-simplify]: Simplify (/ 1 1) into 1 2.507 * [backup-simplify]: Simplify (+ 0 1) into 1 2.507 * [backup-simplify]: Simplify (log 1) into 0 2.507 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.508 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.508 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 2.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.508 * [backup-simplify]: Simplify (+ 1 0) into 1 2.509 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.509 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.509 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 2.509 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 2.509 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 2.509 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 2.509 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 2.509 * [taylor]: Taking taylor expansion of 1 in N 2.509 * [backup-simplify]: Simplify 1 into 1 2.509 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.510 * [taylor]: Taking taylor expansion of N in N 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 1 into 1 2.510 * [backup-simplify]: Simplify (/ 1 1) into 1 2.510 * [backup-simplify]: Simplify (+ 0 1) into 1 2.510 * [backup-simplify]: Simplify (log 1) into 0 2.511 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.511 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.511 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 2.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.512 * [backup-simplify]: Simplify (+ 1 0) into 1 2.512 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.513 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.513 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 2.513 * [taylor]: Taking taylor expansion of (- (log (/ 1 N))) in N 2.513 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.513 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.513 * [taylor]: Taking taylor expansion of N in N 2.513 * [backup-simplify]: Simplify 0 into 0 2.513 * [backup-simplify]: Simplify 1 into 1 2.513 * [backup-simplify]: Simplify (/ 1 1) into 1 2.513 * [backup-simplify]: Simplify (log 1) into 0 2.513 * [backup-simplify]: Simplify (* (sqrt (- (log N))) (sqrt (- (log N)))) into (pow (sqrt (- (log N))) 2) 2.514 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.514 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 2.514 * [backup-simplify]: Simplify (+ (pow (sqrt (- (log N))) 2) (log N)) into (+ (pow (sqrt (- (log N))) 2) (log N)) 2.514 * [backup-simplify]: Simplify (+ (pow (sqrt (- (log N))) 2) (log N)) into (+ (pow (sqrt (- (log N))) 2) (log N)) 2.514 * [backup-simplify]: Simplify (+ (* (sqrt (- (log N))) (/ 1/2 (sqrt (- (log N))))) (* (/ 1/2 (sqrt (- (log N)))) (sqrt (- (log N))))) into 1 2.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.515 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.516 * [backup-simplify]: Simplify (- 0) into 0 2.516 * [backup-simplify]: Simplify (+ 1 0) into 1 2.516 * [backup-simplify]: Simplify 1 into 1 2.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.517 * [backup-simplify]: Simplify (+ 0 0) into 0 2.518 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.519 * [backup-simplify]: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 2.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.520 * [backup-simplify]: Simplify (+ 0 0) into 0 2.521 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.522 * [backup-simplify]: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 2.522 * [backup-simplify]: Simplify (+ (* (sqrt (- (log N))) (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N)))))) (+ (* (/ 1/2 (sqrt (- (log N)))) (/ 1/2 (sqrt (- (log N))))) (* (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) (sqrt (- (log N)))))) into (- 1/2) 2.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.524 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.525 * [backup-simplify]: Simplify (- 0) into 0 2.525 * [backup-simplify]: Simplify (+ (- 1/2) 0) into -1/2 2.525 * [backup-simplify]: Simplify -1/2 into -1/2 2.525 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))))) into (- (+ (log (/ 1 N)) (+ (/ 1 N) (pow (sqrt (- (log (/ 1 N)))) 2))) (* 1/2 (/ 1 (pow N 2)))) 2.525 * [backup-simplify]: Simplify (fma (sqrt (log1p (/ 1 (- N)))) (sqrt (log1p (/ 1 (- N)))) (- (log (/ 1 (- N))))) into (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 2.525 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in (N) around 0 2.525 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in N 2.525 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) (- (log (/ -1 N)))) 2.526 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) in N 2.526 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 2.526 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 2.526 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 2.526 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 2.526 * [taylor]: Taking taylor expansion of 1 in N 2.526 * [backup-simplify]: Simplify 1 into 1 2.526 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.526 * [taylor]: Taking taylor expansion of -1 in N 2.526 * [backup-simplify]: Simplify -1 into -1 2.526 * [taylor]: Taking taylor expansion of N in N 2.526 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify 1 into 1 2.526 * [backup-simplify]: Simplify (/ -1 1) into -1 2.526 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.527 * [backup-simplify]: Simplify (log -1) into (log -1) 2.527 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.528 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.528 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 2.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.529 * [backup-simplify]: Simplify (+ 1 0) into 1 2.529 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.530 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.530 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2.530 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 2.530 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 2.530 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 2.530 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 2.530 * [taylor]: Taking taylor expansion of 1 in N 2.530 * [backup-simplify]: Simplify 1 into 1 2.530 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.530 * [taylor]: Taking taylor expansion of -1 in N 2.530 * [backup-simplify]: Simplify -1 into -1 2.530 * [taylor]: Taking taylor expansion of N in N 2.530 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify 1 into 1 2.531 * [backup-simplify]: Simplify (/ -1 1) into -1 2.531 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.532 * [backup-simplify]: Simplify (log -1) into (log -1) 2.532 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.533 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.533 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 2.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.534 * [backup-simplify]: Simplify (+ 1 0) into 1 2.536 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.536 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.537 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2.537 * [taylor]: Taking taylor expansion of (- (log (/ -1 N))) in N 2.537 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 2.537 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.537 * [taylor]: Taking taylor expansion of -1 in N 2.537 * [backup-simplify]: Simplify -1 into -1 2.537 * [taylor]: Taking taylor expansion of N in N 2.537 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify 1 into 1 2.537 * [backup-simplify]: Simplify (/ -1 1) into -1 2.538 * [backup-simplify]: Simplify (log -1) into (log -1) 2.538 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in N 2.538 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) (- (log (/ -1 N)))) 2.538 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) in N 2.538 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 2.538 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 2.538 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 2.538 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 2.538 * [taylor]: Taking taylor expansion of 1 in N 2.538 * [backup-simplify]: Simplify 1 into 1 2.538 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.538 * [taylor]: Taking taylor expansion of -1 in N 2.538 * [backup-simplify]: Simplify -1 into -1 2.538 * [taylor]: Taking taylor expansion of N in N 2.538 * [backup-simplify]: Simplify 0 into 0 2.538 * [backup-simplify]: Simplify 1 into 1 2.539 * [backup-simplify]: Simplify (/ -1 1) into -1 2.539 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.539 * [backup-simplify]: Simplify (log -1) into (log -1) 2.540 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.541 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.541 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 2.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.542 * [backup-simplify]: Simplify (+ 1 0) into 1 2.543 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.544 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.545 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2.545 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 2.545 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 2.545 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 2.545 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 2.545 * [taylor]: Taking taylor expansion of 1 in N 2.545 * [backup-simplify]: Simplify 1 into 1 2.545 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.545 * [taylor]: Taking taylor expansion of -1 in N 2.545 * [backup-simplify]: Simplify -1 into -1 2.545 * [taylor]: Taking taylor expansion of N in N 2.545 * [backup-simplify]: Simplify 0 into 0 2.545 * [backup-simplify]: Simplify 1 into 1 2.545 * [backup-simplify]: Simplify (/ -1 1) into -1 2.546 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.546 * [backup-simplify]: Simplify (log -1) into (log -1) 2.547 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.547 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.548 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 2.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.549 * [backup-simplify]: Simplify (+ 1 0) into 1 2.550 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.551 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.551 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2.551 * [taylor]: Taking taylor expansion of (- (log (/ -1 N))) in N 2.551 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 2.551 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.551 * [taylor]: Taking taylor expansion of -1 in N 2.551 * [backup-simplify]: Simplify -1 into -1 2.551 * [taylor]: Taking taylor expansion of N in N 2.551 * [backup-simplify]: Simplify 0 into 0 2.552 * [backup-simplify]: Simplify 1 into 1 2.552 * [backup-simplify]: Simplify (/ -1 1) into -1 2.552 * [backup-simplify]: Simplify (log -1) into (log -1) 2.553 * [backup-simplify]: Simplify (* (sqrt (- (log -1) (log N))) (sqrt (- (log -1) (log N)))) into (- (log -1) (log N)) 2.554 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.554 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 2.555 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 2.555 * [backup-simplify]: Simplify 0 into 0 2.557 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (sqrt (- (log -1) (log N))))) into (- 1) 2.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.559 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.559 * [backup-simplify]: Simplify (- 0) into 0 2.560 * [backup-simplify]: Simplify (+ (- 1) 0) into -1 2.560 * [backup-simplify]: Simplify -1 into -1 2.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.561 * [backup-simplify]: Simplify (+ 0 0) into 0 2.563 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.565 * [backup-simplify]: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) 2.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.566 * [backup-simplify]: Simplify (+ 0 0) into 0 2.569 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.570 * [backup-simplify]: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) 2.575 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) (sqrt (- (log -1) (log N)))))) into (- 1/2) 2.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.578 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.578 * [backup-simplify]: Simplify (- 0) into 0 2.578 * [backup-simplify]: Simplify (+ (- 1/2) 0) into -1/2 2.578 * [backup-simplify]: Simplify -1/2 into -1/2 2.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.580 * [backup-simplify]: Simplify (+ 0 0) into 0 2.584 * [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 2.585 * [backup-simplify]: Simplify (/ (- -1/3 (+ (* 2 (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))))))) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) 2.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.587 * [backup-simplify]: Simplify (+ 0 0) into 0 2.590 * [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 2.594 * [backup-simplify]: Simplify (/ (- -1/3 (+ (* 2 (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))))))) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) 2.599 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) (sqrt (- (log -1) (log N))))))) into (- 1/3) 2.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.603 * [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 2.604 * [backup-simplify]: Simplify (- 0) into 0 2.604 * [backup-simplify]: Simplify (+ (- 1/3) 0) into -1/3 2.604 * [backup-simplify]: Simplify -1/3 into -1/3 2.604 * [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)))) 2.604 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 2.605 * [backup-simplify]: Simplify (sqrt (log1p N)) into (sqrt (log1p N)) 2.605 * [approximate]: Taking taylor expansion of (sqrt (log1p N)) in (N) around 0 2.605 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 2.605 * [taylor]: Taking taylor expansion of (log1p N) in N 2.605 * [taylor]: Rewrote expression to (log (+ 1 N)) 2.605 * [taylor]: Taking taylor expansion of (+ 1 N) in N 2.605 * [taylor]: Taking taylor expansion of 1 in N 2.605 * [backup-simplify]: Simplify 1 into 1 2.605 * [taylor]: Taking taylor expansion of N in N 2.605 * [backup-simplify]: Simplify 0 into 0 2.605 * [backup-simplify]: Simplify 1 into 1 2.605 * [backup-simplify]: Simplify (+ 1 0) into 1 2.605 * [backup-simplify]: Simplify (log 1) into 0 2.606 * [backup-simplify]: Simplify (+ 0 1) into 1 2.607 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.607 * [backup-simplify]: Simplify (sqrt 0) into 0 2.608 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.608 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 2.608 * [taylor]: Taking taylor expansion of (log1p N) in N 2.608 * [taylor]: Rewrote expression to (log (+ 1 N)) 2.608 * [taylor]: Taking taylor expansion of (+ 1 N) in N 2.608 * [taylor]: Taking taylor expansion of 1 in N 2.608 * [backup-simplify]: Simplify 1 into 1 2.608 * [taylor]: Taking taylor expansion of N in N 2.608 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify 1 into 1 2.608 * [backup-simplify]: Simplify (+ 1 0) into 1 2.609 * [backup-simplify]: Simplify (log 1) into 0 2.609 * [backup-simplify]: Simplify (+ 0 1) into 1 2.610 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.610 * [backup-simplify]: Simplify (sqrt 0) into 0 2.611 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.611 * [backup-simplify]: Simplify 0 into 0 2.611 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.611 * [backup-simplify]: Simplify (+ 0 0) into 0 2.613 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.614 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.615 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.615 * [backup-simplify]: Simplify (+ 0 0) into 0 2.618 * [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 2.621 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.621 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.622 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 3)) (+ (* +nan.0 (pow N 2)) (* +nan.0 N))) into (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- (* +nan.0 (pow N 3))))))) 2.622 * [backup-simplify]: Simplify (sqrt (log1p (/ 1 N))) into (sqrt (log1p (/ 1 N))) 2.622 * [approximate]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in (N) around 0 2.622 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 2.622 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 2.622 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 2.622 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 2.622 * [taylor]: Taking taylor expansion of 1 in N 2.622 * [backup-simplify]: Simplify 1 into 1 2.622 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.622 * [taylor]: Taking taylor expansion of N in N 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify 1 into 1 2.622 * [backup-simplify]: Simplify (/ 1 1) into 1 2.623 * [backup-simplify]: Simplify (+ 0 1) into 1 2.623 * [backup-simplify]: Simplify (log 1) into 0 2.623 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.624 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.624 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 2.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.624 * [backup-simplify]: Simplify (+ 1 0) into 1 2.625 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.626 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.626 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 2.626 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 2.626 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 2.626 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 2.626 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 2.626 * [taylor]: Taking taylor expansion of 1 in N 2.626 * [backup-simplify]: Simplify 1 into 1 2.626 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.626 * [taylor]: Taking taylor expansion of N in N 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [backup-simplify]: Simplify 1 into 1 2.626 * [backup-simplify]: Simplify (/ 1 1) into 1 2.627 * [backup-simplify]: Simplify (+ 0 1) into 1 2.627 * [backup-simplify]: Simplify (log 1) into 0 2.627 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.627 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.627 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 2.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.628 * [backup-simplify]: Simplify (+ 1 0) into 1 2.629 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.629 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.629 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 2.629 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 2.629 * [backup-simplify]: Simplify (/ 1/2 (sqrt (- (log N)))) into (/ 1/2 (sqrt (- (log N)))) 2.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.630 * [backup-simplify]: Simplify (+ 0 0) into 0 2.633 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.633 * [backup-simplify]: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 2.634 * [backup-simplify]: Simplify (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 2.635 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log (/ 1 N)))) 2)))) (sqrt (- (log (/ 1 N)))))) (pow (/ 1 N) 2)) (+ (* (/ 1/2 (sqrt (- (log (/ 1 N))))) (/ 1 N)) (sqrt (- (log (/ 1 N)))))) into (- (+ (* 1/2 (/ 1 (* N (sqrt (- (log (/ 1 N))))))) (sqrt (- (log (/ 1 N))))) (+ (* 1/8 (/ 1 (* (pow N 2) (pow (sqrt (- (log (/ 1 N)))) 3)))) (* 1/4 (/ 1 (* (pow N 2) (sqrt (- (log (/ 1 N))))))))) 2.635 * [backup-simplify]: Simplify (sqrt (log1p (/ 1 (- N)))) into (sqrt (log1p (/ -1 N))) 2.635 * [approximate]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in (N) around 0 2.635 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 2.635 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 2.635 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 2.635 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 2.635 * [taylor]: Taking taylor expansion of 1 in N 2.635 * [backup-simplify]: Simplify 1 into 1 2.635 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.635 * [taylor]: Taking taylor expansion of -1 in N 2.635 * [backup-simplify]: Simplify -1 into -1 2.635 * [taylor]: Taking taylor expansion of N in N 2.635 * [backup-simplify]: Simplify 0 into 0 2.635 * [backup-simplify]: Simplify 1 into 1 2.636 * [backup-simplify]: Simplify (/ -1 1) into -1 2.636 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.636 * [backup-simplify]: Simplify (log -1) into (log -1) 2.637 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.638 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.638 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 2.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.640 * [backup-simplify]: Simplify (+ 1 0) into 1 2.641 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.642 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.642 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2.643 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 2.643 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 2.643 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 2.643 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 2.643 * [taylor]: Taking taylor expansion of 1 in N 2.643 * [backup-simplify]: Simplify 1 into 1 2.643 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.643 * [taylor]: Taking taylor expansion of -1 in N 2.643 * [backup-simplify]: Simplify -1 into -1 2.643 * [taylor]: Taking taylor expansion of N in N 2.643 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify 1 into 1 2.643 * [backup-simplify]: Simplify (/ -1 1) into -1 2.644 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.644 * [backup-simplify]: Simplify (log -1) into (log -1) 2.645 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.646 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.646 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 2.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.647 * [backup-simplify]: Simplify (+ 1 0) into 1 2.648 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.648 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.649 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2.649 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 2.649 * [backup-simplify]: Simplify (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.650 * [backup-simplify]: Simplify (+ 0 0) into 0 2.652 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.653 * [backup-simplify]: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) 2.653 * [backup-simplify]: Simplify (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) 2.655 * [backup-simplify]: Simplify (+ (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log (/ 1 (- N)))))) 1/2) (sqrt (/ 1 (- (log -1) (log (/ 1 (- N)))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (sqrt (- (log -1) (log (/ 1 (- N))))))) into (- (+ (sqrt (- (log -1) (log (/ -1 N)))) (* 1/2 (* (sqrt (/ 1 (- (log -1) (log (/ -1 N))))) (/ 1 N)))) (+ (* 1/8 (* (sqrt (/ 1 (pow (- (log -1) (log (/ -1 N))) 3))) (/ 1 (pow N 2)))) (* 1/4 (* (/ 1 (pow N 2)) (sqrt (/ 1 (- (log -1) (log (/ -1 N))))))))) 2.655 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 2.655 * [backup-simplify]: Simplify (sqrt (log1p N)) into (sqrt (log1p N)) 2.655 * [approximate]: Taking taylor expansion of (sqrt (log1p N)) in (N) around 0 2.655 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 2.655 * [taylor]: Taking taylor expansion of (log1p N) in N 2.655 * [taylor]: Rewrote expression to (log (+ 1 N)) 2.655 * [taylor]: Taking taylor expansion of (+ 1 N) in N 2.655 * [taylor]: Taking taylor expansion of 1 in N 2.655 * [backup-simplify]: Simplify 1 into 1 2.655 * [taylor]: Taking taylor expansion of N in N 2.655 * [backup-simplify]: Simplify 0 into 0 2.655 * [backup-simplify]: Simplify 1 into 1 2.655 * [backup-simplify]: Simplify (+ 1 0) into 1 2.656 * [backup-simplify]: Simplify (log 1) into 0 2.656 * [backup-simplify]: Simplify (+ 0 1) into 1 2.656 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.657 * [backup-simplify]: Simplify (sqrt 0) into 0 2.658 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.658 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 2.658 * [taylor]: Taking taylor expansion of (log1p N) in N 2.658 * [taylor]: Rewrote expression to (log (+ 1 N)) 2.658 * [taylor]: Taking taylor expansion of (+ 1 N) in N 2.658 * [taylor]: Taking taylor expansion of 1 in N 2.658 * [backup-simplify]: Simplify 1 into 1 2.658 * [taylor]: Taking taylor expansion of N in N 2.658 * [backup-simplify]: Simplify 0 into 0 2.658 * [backup-simplify]: Simplify 1 into 1 2.658 * [backup-simplify]: Simplify (+ 1 0) into 1 2.658 * [backup-simplify]: Simplify (log 1) into 0 2.659 * [backup-simplify]: Simplify (+ 0 1) into 1 2.659 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.660 * [backup-simplify]: Simplify (sqrt 0) into 0 2.661 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.661 * [backup-simplify]: Simplify 0 into 0 2.661 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.661 * [backup-simplify]: Simplify (+ 0 0) into 0 2.663 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.665 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.665 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.665 * [backup-simplify]: Simplify (+ 0 0) into 0 2.668 * [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 2.671 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.671 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.671 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 3)) (+ (* +nan.0 (pow N 2)) (* +nan.0 N))) into (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- (* +nan.0 (pow N 3))))))) 2.671 * [backup-simplify]: Simplify (sqrt (log1p (/ 1 N))) into (sqrt (log1p (/ 1 N))) 2.671 * [approximate]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in (N) around 0 2.671 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 2.671 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 2.671 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 2.671 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 2.671 * [taylor]: Taking taylor expansion of 1 in N 2.671 * [backup-simplify]: Simplify 1 into 1 2.671 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.671 * [taylor]: Taking taylor expansion of N in N 2.671 * [backup-simplify]: Simplify 0 into 0 2.671 * [backup-simplify]: Simplify 1 into 1 2.671 * [backup-simplify]: Simplify (/ 1 1) into 1 2.672 * [backup-simplify]: Simplify (+ 0 1) into 1 2.672 * [backup-simplify]: Simplify (log 1) into 0 2.672 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.672 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.673 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 2.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.673 * [backup-simplify]: Simplify (+ 1 0) into 1 2.674 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.674 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.674 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 2.674 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 2.674 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 2.674 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 2.674 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 2.674 * [taylor]: Taking taylor expansion of 1 in N 2.674 * [backup-simplify]: Simplify 1 into 1 2.675 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.675 * [taylor]: Taking taylor expansion of N in N 2.675 * [backup-simplify]: Simplify 0 into 0 2.675 * [backup-simplify]: Simplify 1 into 1 2.675 * [backup-simplify]: Simplify (/ 1 1) into 1 2.675 * [backup-simplify]: Simplify (+ 0 1) into 1 2.676 * [backup-simplify]: Simplify (log 1) into 0 2.676 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.677 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.677 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 2.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.678 * [backup-simplify]: Simplify (+ 1 0) into 1 2.679 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.680 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.680 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 2.680 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 2.680 * [backup-simplify]: Simplify (/ 1/2 (sqrt (- (log N)))) into (/ 1/2 (sqrt (- (log N)))) 2.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.681 * [backup-simplify]: Simplify (+ 0 0) into 0 2.684 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.685 * [backup-simplify]: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 2.685 * [backup-simplify]: Simplify (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 2.686 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log (/ 1 N)))) 2)))) (sqrt (- (log (/ 1 N)))))) (pow (/ 1 N) 2)) (+ (* (/ 1/2 (sqrt (- (log (/ 1 N))))) (/ 1 N)) (sqrt (- (log (/ 1 N)))))) into (- (+ (* 1/2 (/ 1 (* N (sqrt (- (log (/ 1 N))))))) (sqrt (- (log (/ 1 N))))) (+ (* 1/8 (/ 1 (* (pow N 2) (pow (sqrt (- (log (/ 1 N)))) 3)))) (* 1/4 (/ 1 (* (pow N 2) (sqrt (- (log (/ 1 N))))))))) 2.686 * [backup-simplify]: Simplify (sqrt (log1p (/ 1 (- N)))) into (sqrt (log1p (/ -1 N))) 2.687 * [approximate]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in (N) around 0 2.687 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 2.687 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 2.687 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 2.687 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 2.687 * [taylor]: Taking taylor expansion of 1 in N 2.687 * [backup-simplify]: Simplify 1 into 1 2.687 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.687 * [taylor]: Taking taylor expansion of -1 in N 2.687 * [backup-simplify]: Simplify -1 into -1 2.687 * [taylor]: Taking taylor expansion of N in N 2.687 * [backup-simplify]: Simplify 0 into 0 2.687 * [backup-simplify]: Simplify 1 into 1 2.688 * [backup-simplify]: Simplify (/ -1 1) into -1 2.689 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.689 * [backup-simplify]: Simplify (log -1) into (log -1) 2.690 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.691 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.692 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 2.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.693 * [backup-simplify]: Simplify (+ 1 0) into 1 2.695 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.696 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.696 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2.696 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 2.696 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 2.696 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 2.696 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 2.696 * [taylor]: Taking taylor expansion of 1 in N 2.697 * [backup-simplify]: Simplify 1 into 1 2.697 * [taylor]: Taking taylor expansion of (/ -1 N) in N 2.697 * [taylor]: Taking taylor expansion of -1 in N 2.697 * [backup-simplify]: Simplify -1 into -1 2.697 * [taylor]: Taking taylor expansion of N in N 2.697 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify 1 into 1 2.697 * [backup-simplify]: Simplify (/ -1 1) into -1 2.698 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.698 * [backup-simplify]: Simplify (log -1) into (log -1) 2.699 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.700 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.700 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 2.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.704 * [backup-simplify]: Simplify (+ 1 0) into 1 2.704 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 2.705 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.705 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2.705 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 2.706 * [backup-simplify]: Simplify (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.707 * [backup-simplify]: Simplify (+ 0 0) into 0 2.708 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 2.709 * [backup-simplify]: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) 2.710 * [backup-simplify]: Simplify (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) 2.711 * [backup-simplify]: Simplify (+ (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log (/ 1 (- N)))))) 1/2) (sqrt (/ 1 (- (log -1) (log (/ 1 (- N)))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (sqrt (- (log -1) (log (/ 1 (- N))))))) into (- (+ (sqrt (- (log -1) (log (/ -1 N)))) (* 1/2 (* (sqrt (/ 1 (- (log -1) (log (/ -1 N))))) (/ 1 N)))) (+ (* 1/8 (* (sqrt (/ 1 (pow (- (log -1) (log (/ -1 N))) 3))) (/ 1 (pow N 2)))) (* 1/4 (* (/ 1 (pow N 2)) (sqrt (/ 1 (- (log -1) (log (/ -1 N))))))))) 2.711 * * * [progress]: simplifying candidates 2.711 * * * * [progress]: [ 1 / 52 ] simplifiying candidate # 2.711 * * * * [progress]: [ 2 / 52 ] simplifiying candidate # 2.711 * * * * [progress]: [ 3 / 52 ] simplifiying candidate # 2.711 * * * * [progress]: [ 4 / 52 ] simplifiying candidate # 2.711 * * * * [progress]: [ 5 / 52 ] simplifiying candidate # 2.711 * * * * [progress]: [ 6 / 52 ] simplifiying candidate # 2.711 * * * * [progress]: [ 7 / 52 ] simplifiying candidate # 2.711 * * * * [progress]: [ 8 / 52 ] simplifiying candidate # 2.711 * * * * [progress]: [ 9 / 52 ] simplifiying candidate # 2.712 * * * * [progress]: [ 10 / 52 ] simplifiying candidate # 2.712 * * * * [progress]: [ 11 / 52 ] simplifiying candidate #real (real->posit16 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))> 2.712 * * * * [progress]: [ 12 / 52 ] simplifiying candidate # 2.712 * * * * [progress]: [ 13 / 52 ] simplifiying candidate # 2.712 * * * * [progress]: [ 14 / 52 ] simplifiying candidate # 2.712 * * * * [progress]: [ 15 / 52 ] simplifiying candidate # 2.712 * * * * [progress]: [ 16 / 52 ] simplifiying candidate # 2.712 * * * * [progress]: [ 17 / 52 ] simplifiying candidate # 2.712 * * * * [progress]: [ 18 / 52 ] simplifiying candidate # 2.712 * * * * [progress]: [ 19 / 52 ] simplifiying candidate # 2.712 * * * * [progress]: [ 20 / 52 ] simplifiying candidate # 2.712 * * * * [progress]: [ 21 / 52 ] simplifiying candidate # 2.712 * * * * [progress]: [ 22 / 52 ] simplifiying candidate # 2.712 * * * * [progress]: [ 23 / 52 ] simplifiying candidate # 2.712 * * * * [progress]: [ 24 / 52 ] simplifiying candidate # 2.712 * * * * [progress]: [ 25 / 52 ] simplifiying candidate # 2.712 * * * * [progress]: [ 26 / 52 ] simplifiying candidate # 2.712 * * * * [progress]: [ 27 / 52 ] simplifiying candidate #real (real->posit16 (sqrt (log1p N)))) (- (log N))))> 2.712 * * * * [progress]: [ 28 / 52 ] simplifiying candidate # 2.712 * * * * [progress]: [ 29 / 52 ] simplifiying candidate # 2.712 * * * * [progress]: [ 30 / 52 ] simplifiying candidate # 2.712 * * * * [progress]: [ 31 / 52 ] simplifiying candidate # 2.712 * * * * [progress]: [ 32 / 52 ] simplifiying candidate # 2.712 * * * * [progress]: [ 33 / 52 ] simplifiying candidate # 2.712 * * * * [progress]: [ 34 / 52 ] simplifiying candidate # 2.712 * * * * [progress]: [ 35 / 52 ] simplifiying candidate # 2.712 * * * * [progress]: [ 36 / 52 ] simplifiying candidate # 2.712 * * * * [progress]: [ 37 / 52 ] simplifiying candidate # 2.712 * * * * [progress]: [ 38 / 52 ] simplifiying candidate # 2.713 * * * * [progress]: [ 39 / 52 ] simplifiying candidate # 2.713 * * * * [progress]: [ 40 / 52 ] simplifiying candidate # 2.713 * * * * [progress]: [ 41 / 52 ] simplifiying candidate # 2.713 * * * * [progress]: [ 42 / 52 ] simplifiying candidate # 2.713 * * * * [progress]: [ 43 / 52 ] simplifiying candidate #real (real->posit16 (sqrt (log1p N)))) (sqrt (log1p N)) (- (log N))))> 2.713 * * * * [progress]: [ 44 / 52 ] simplifiying candidate # 2.713 * * * * [progress]: [ 45 / 52 ] simplifiying candidate # 2.713 * * * * [progress]: [ 46 / 52 ] simplifiying candidate # 2.713 * * * * [progress]: [ 47 / 52 ] simplifiying candidate # 2.713 * * * * [progress]: [ 48 / 52 ] simplifiying candidate # 2.713 * * * * [progress]: [ 49 / 52 ] simplifiying candidate # 2.713 * * * * [progress]: [ 50 / 52 ] simplifiying candidate # 2.713 * * * * [progress]: [ 51 / 52 ] simplifiying candidate # 2.713 * * * * [progress]: [ 52 / 52 ] simplifiying candidate # 2.714 * [simplify]: Simplifying: (expm1 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (log1p (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (* (sqrt (log1p N)) (sqrt (log1p N))) (log (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (exp (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (* (* (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (real->posit16 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (expm1 (sqrt (log1p N))) (log1p (sqrt (log1p N))) (log (sqrt (log1p N))) (exp (sqrt (log1p N))) (* (cbrt (sqrt (log1p N))) (cbrt (sqrt (log1p N)))) (cbrt (sqrt (log1p N))) (* (* (sqrt (log1p N)) (sqrt (log1p N))) (sqrt (log1p N))) (sqrt (* (cbrt (log1p N)) (cbrt (log1p N)))) (sqrt (cbrt (log1p N))) (sqrt (sqrt (log1p N))) (sqrt (sqrt (log1p N))) (sqrt 1) (sqrt (log1p N)) (/ 1 2) (sqrt (sqrt (log1p N))) (sqrt (sqrt (log1p N))) (real->posit16 (sqrt (log1p N))) (expm1 (sqrt (log1p N))) (log1p (sqrt (log1p N))) (log (sqrt (log1p N))) (exp (sqrt (log1p N))) (* (cbrt (sqrt (log1p N))) (cbrt (sqrt (log1p N)))) (cbrt (sqrt (log1p N))) (* (* (sqrt (log1p N)) (sqrt (log1p N))) (sqrt (log1p N))) (sqrt (* (cbrt (log1p N)) (cbrt (log1p N)))) (sqrt (cbrt (log1p N))) (sqrt (sqrt (log1p N))) (sqrt (sqrt (log1p N))) (sqrt 1) (sqrt (log1p N)) (/ 1 2) (sqrt (sqrt (log1p N))) (sqrt (sqrt (log1p N))) (real->posit16 (sqrt (log1p N))) (- (+ (* +nan.0 (pow N 2)) (- (log N) (* +nan.0 (pow N 3))))) (- (+ (log (/ 1 N)) (+ (/ 1 N) (pow (sqrt (- (log (/ 1 N)))) 2))) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- (* +nan.0 (pow N 3))))))) (- (+ (* 1/2 (/ 1 (* N (sqrt (- (log (/ 1 N))))))) (sqrt (- (log (/ 1 N))))) (+ (* 1/8 (/ 1 (* (pow N 2) (pow (sqrt (- (log (/ 1 N)))) 3)))) (* 1/4 (/ 1 (* (pow N 2) (sqrt (- (log (/ 1 N))))))))) (- (+ (sqrt (- (log -1) (log (/ -1 N)))) (* 1/2 (* (sqrt (/ 1 (- (log -1) (log (/ -1 N))))) (/ 1 N)))) (+ (* 1/8 (* (sqrt (/ 1 (pow (- (log -1) (log (/ -1 N))) 3))) (/ 1 (pow N 2)))) (* 1/4 (* (/ 1 (pow N 2)) (sqrt (/ 1 (- (log -1) (log (/ -1 N))))))))) (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- (* +nan.0 (pow N 3))))))) (- (+ (* 1/2 (/ 1 (* N (sqrt (- (log (/ 1 N))))))) (sqrt (- (log (/ 1 N))))) (+ (* 1/8 (/ 1 (* (pow N 2) (pow (sqrt (- (log (/ 1 N)))) 3)))) (* 1/4 (/ 1 (* (pow N 2) (sqrt (- (log (/ 1 N))))))))) (- (+ (sqrt (- (log -1) (log (/ -1 N)))) (* 1/2 (* (sqrt (/ 1 (- (log -1) (log (/ -1 N))))) (/ 1 N)))) (+ (* 1/8 (* (sqrt (/ 1 (pow (- (log -1) (log (/ -1 N))) 3))) (/ 1 (pow N 2)))) (* 1/4 (* (/ 1 (pow N 2)) (sqrt (/ 1 (- (log -1) (log (/ -1 N))))))))) 2.714 * * [simplify]: iteration 1: (100 enodes) 2.758 * * [simplify]: iteration 2: (228 enodes) 2.850 * * [simplify]: iteration 3: (635 enodes) 3.306 * * [simplify]: Extracting #0: cost 30 inf + 0 3.306 * * [simplify]: Extracting #1: cost 158 inf + 2 3.309 * * [simplify]: Extracting #2: cost 342 inf + 926 3.317 * * [simplify]: Extracting #3: cost 329 inf + 17121 3.339 * * [simplify]: Extracting #4: cost 112 inf + 70278 3.365 * * [simplify]: Extracting #5: cost 51 inf + 90728 3.390 * * [simplify]: Extracting #6: cost 37 inf + 104710 3.429 * * [simplify]: Extracting #7: cost 0 inf + 116451 3.469 * * [simplify]: Extracting #8: cost 0 inf + 116426 3.496 * [simplify]: Simplified to: (expm1 (- (log1p N) (log N))) (log1p (- (log1p N) (log N))) (log1p N) (log (- (log1p N) (log N))) (* (/ 1 N) (exp (log1p 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))) (real->posit16 (- (log1p N) (log N))) (expm1 (sqrt (log1p N))) (log1p (sqrt (log1p N))) (log (sqrt (log1p N))) (exp (sqrt (log1p N))) (* (cbrt (sqrt (log1p N))) (cbrt (sqrt (log1p N)))) (cbrt (sqrt (log1p N))) (* (sqrt (log1p N)) (log1p N)) (fabs (cbrt (log1p N))) (sqrt (cbrt (log1p N))) (sqrt (sqrt (log1p N))) (sqrt (sqrt (log1p N))) 1 (sqrt (log1p N)) 1/2 (sqrt (sqrt (log1p N))) (sqrt (sqrt (log1p N))) (real->posit16 (sqrt (log1p N))) (expm1 (sqrt (log1p N))) (log1p (sqrt (log1p N))) (log (sqrt (log1p N))) (exp (sqrt (log1p N))) (* (cbrt (sqrt (log1p N))) (cbrt (sqrt (log1p N)))) (cbrt (sqrt (log1p N))) (* (sqrt (log1p N)) (log1p N)) (fabs (cbrt (log1p N))) (sqrt (cbrt (log1p N))) (sqrt (sqrt (log1p N))) (sqrt (sqrt (log1p N))) 1 (sqrt (log1p N)) 1/2 (sqrt (sqrt (log1p N))) (sqrt (sqrt (log1p N))) (real->posit16 (sqrt (log1p N))) (- (- (* (* N N) +nan.0)) (- (log N) (* (* (* N N) +nan.0) N))) (fma (/ (/ 1 N) N) -1/2 (+ (/ 1 N) (- (log N) (log N)))) (+ (/ -1/2 (* N N)) (fma (/ (/ 1 N) (* N N)) 1/3 (/ 1 N))) (+ (- (* (* N N) +nan.0)) (* N (- +nan.0 (* (* N N) +nan.0)))) (+ (- (/ -1/4 (* (* N N) (sqrt (log N)))) (/ (/ (/ 1/8 (* N N)) (log N)) (sqrt (log N)))) (+ (sqrt (log N)) (/ 1/2 (* N (sqrt (log N)))))) (- (fma (/ (sqrt (/ 1 (+ 0 (log N)))) N) 1/2 (sqrt (+ 0 (log N)))) (fma (/ 1/4 (* N N)) (sqrt (/ 1 (+ 0 (log N)))) (* (sqrt (/ (/ 1 (+ 0 (log N))) (* (+ 0 (log N)) (+ 0 (log N))))) (/ 1/8 (* N N))))) (+ (- (* (* N N) +nan.0)) (* N (- +nan.0 (* (* N N) +nan.0)))) (+ (- (/ -1/4 (* (* N N) (sqrt (log N)))) (/ (/ (/ 1/8 (* N N)) (log N)) (sqrt (log N)))) (+ (sqrt (log N)) (/ 1/2 (* N (sqrt (log N)))))) (- (fma (/ (sqrt (/ 1 (+ 0 (log N)))) N) 1/2 (sqrt (+ 0 (log N)))) (fma (/ 1/4 (* N N)) (sqrt (/ 1 (+ 0 (log N)))) (* (sqrt (/ (/ 1 (+ 0 (log N))) (* (+ 0 (log N)) (+ 0 (log N))))) (/ 1/8 (* N N))))) 3.502 * * * [progress]: adding candidates to table 3.937 * * [progress]: iteration 3 / 4 3.937 * * * [progress]: picking best candidate 3.946 * * * * [pick]: Picked # 3.947 * * * [progress]: localizing error 3.994 * * * [progress]: generating rewritten candidates 3.994 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 3.995 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 3.995 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 3.995 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 4.004 * * * [progress]: generating series expansions 4.004 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 4.004 * [backup-simplify]: Simplify (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) into (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 4.004 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in (N) around 0 4.004 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in N 4.004 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p N)) (sqrt (log1p N))) (- (log N))) 4.004 * [taylor]: Taking taylor expansion of (* (sqrt (log1p N)) (sqrt (log1p N))) in N 4.004 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 4.004 * [taylor]: Taking taylor expansion of (log1p N) in N 4.004 * [taylor]: Rewrote expression to (log (+ 1 N)) 4.004 * [taylor]: Taking taylor expansion of (+ 1 N) in N 4.004 * [taylor]: Taking taylor expansion of 1 in N 4.004 * [backup-simplify]: Simplify 1 into 1 4.004 * [taylor]: Taking taylor expansion of N in N 4.004 * [backup-simplify]: Simplify 0 into 0 4.004 * [backup-simplify]: Simplify 1 into 1 4.005 * [backup-simplify]: Simplify (+ 1 0) into 1 4.005 * [backup-simplify]: Simplify (log 1) into 0 4.005 * [backup-simplify]: Simplify (+ 0 1) into 1 4.006 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.006 * [backup-simplify]: Simplify (sqrt 0) into 0 4.007 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.007 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 4.007 * [taylor]: Taking taylor expansion of (log1p N) in N 4.007 * [taylor]: Rewrote expression to (log (+ 1 N)) 4.007 * [taylor]: Taking taylor expansion of (+ 1 N) in N 4.007 * [taylor]: Taking taylor expansion of 1 in N 4.007 * [backup-simplify]: Simplify 1 into 1 4.007 * [taylor]: Taking taylor expansion of N in N 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 1 into 1 4.008 * [backup-simplify]: Simplify (+ 1 0) into 1 4.009 * [backup-simplify]: Simplify (log 1) into 0 4.009 * [backup-simplify]: Simplify (+ 0 1) into 1 4.010 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.010 * [backup-simplify]: Simplify (sqrt 0) into 0 4.011 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.011 * [taylor]: Taking taylor expansion of (- (log N)) in N 4.011 * [taylor]: Taking taylor expansion of (log N) in N 4.011 * [taylor]: Taking taylor expansion of N in N 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 1 into 1 4.011 * [backup-simplify]: Simplify (log 1) into 0 4.011 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in N 4.011 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p N)) (sqrt (log1p N))) (- (log N))) 4.011 * [taylor]: Taking taylor expansion of (* (sqrt (log1p N)) (sqrt (log1p N))) in N 4.011 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 4.011 * [taylor]: Taking taylor expansion of (log1p N) in N 4.011 * [taylor]: Rewrote expression to (log (+ 1 N)) 4.011 * [taylor]: Taking taylor expansion of (+ 1 N) in N 4.011 * [taylor]: Taking taylor expansion of 1 in N 4.011 * [backup-simplify]: Simplify 1 into 1 4.011 * [taylor]: Taking taylor expansion of N in N 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 1 into 1 4.012 * [backup-simplify]: Simplify (+ 1 0) into 1 4.012 * [backup-simplify]: Simplify (log 1) into 0 4.012 * [backup-simplify]: Simplify (+ 0 1) into 1 4.013 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.013 * [backup-simplify]: Simplify (sqrt 0) into 0 4.014 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.014 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 4.014 * [taylor]: Taking taylor expansion of (log1p N) in N 4.014 * [taylor]: Rewrote expression to (log (+ 1 N)) 4.014 * [taylor]: Taking taylor expansion of (+ 1 N) in N 4.014 * [taylor]: Taking taylor expansion of 1 in N 4.014 * [backup-simplify]: Simplify 1 into 1 4.014 * [taylor]: Taking taylor expansion of N in N 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 1 into 1 4.014 * [backup-simplify]: Simplify (+ 1 0) into 1 4.015 * [backup-simplify]: Simplify (log 1) into 0 4.015 * [backup-simplify]: Simplify (+ 0 1) into 1 4.016 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.017 * [backup-simplify]: Simplify (sqrt 0) into 0 4.018 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.018 * [taylor]: Taking taylor expansion of (- (log N)) in N 4.018 * [taylor]: Taking taylor expansion of (log N) in N 4.018 * [taylor]: Taking taylor expansion of N in N 4.018 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify 1 into 1 4.019 * [backup-simplify]: Simplify (log 1) into 0 4.019 * [backup-simplify]: Simplify (* 0 0) into 0 4.020 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.020 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 4.020 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 4.020 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 4.020 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 4.022 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.022 * [backup-simplify]: Simplify (- 0) into 0 4.022 * [backup-simplify]: Simplify (+ 0 0) into 0 4.022 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify (+ 0 0) into 0 4.026 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.029 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.029 * [backup-simplify]: Simplify (+ 0 0) into 0 4.031 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.033 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.035 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 4.036 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.037 * [backup-simplify]: Simplify (- 0) into 0 4.037 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 4.038 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.038 * [backup-simplify]: Simplify (+ 0 0) into 0 4.040 * [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 4.043 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.043 * [backup-simplify]: Simplify (+ 0 0) into 0 4.046 * [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 4.048 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.051 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 4.054 * [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 4.054 * [backup-simplify]: Simplify (- 0) into 0 4.054 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 4.055 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.055 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 3)) (+ (* (- +nan.0) (pow N 2)) (- (log N)))) into (- (+ (* +nan.0 (pow N 2)) (- (log N) (* +nan.0 (pow N 3))))) 4.056 * [backup-simplify]: Simplify (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) into (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 4.056 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in (N) around 0 4.056 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in N 4.056 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) (- (log (/ 1 N)))) 4.056 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) in N 4.056 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 4.056 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 4.056 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 4.056 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 4.056 * [taylor]: Taking taylor expansion of 1 in N 4.056 * [backup-simplify]: Simplify 1 into 1 4.056 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.056 * [taylor]: Taking taylor expansion of N in N 4.056 * [backup-simplify]: Simplify 0 into 0 4.056 * [backup-simplify]: Simplify 1 into 1 4.056 * [backup-simplify]: Simplify (/ 1 1) into 1 4.056 * [backup-simplify]: Simplify (+ 0 1) into 1 4.057 * [backup-simplify]: Simplify (log 1) into 0 4.057 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.057 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.057 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 4.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.058 * [backup-simplify]: Simplify (+ 1 0) into 1 4.059 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.059 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.059 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 4.059 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 4.059 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 4.059 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 4.059 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 4.059 * [taylor]: Taking taylor expansion of 1 in N 4.059 * [backup-simplify]: Simplify 1 into 1 4.059 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.059 * [taylor]: Taking taylor expansion of N in N 4.059 * [backup-simplify]: Simplify 0 into 0 4.060 * [backup-simplify]: Simplify 1 into 1 4.060 * [backup-simplify]: Simplify (/ 1 1) into 1 4.060 * [backup-simplify]: Simplify (+ 0 1) into 1 4.061 * [backup-simplify]: Simplify (log 1) into 0 4.061 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.061 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.062 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 4.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.063 * [backup-simplify]: Simplify (+ 1 0) into 1 4.064 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.064 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.065 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 4.065 * [taylor]: Taking taylor expansion of (- (log (/ 1 N))) in N 4.065 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.065 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.065 * [taylor]: Taking taylor expansion of N in N 4.065 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify 1 into 1 4.065 * [backup-simplify]: Simplify (/ 1 1) into 1 4.065 * [backup-simplify]: Simplify (log 1) into 0 4.065 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in N 4.066 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) (- (log (/ 1 N)))) 4.066 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) in N 4.066 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 4.066 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 4.066 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 4.066 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 4.066 * [taylor]: Taking taylor expansion of 1 in N 4.066 * [backup-simplify]: Simplify 1 into 1 4.066 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.066 * [taylor]: Taking taylor expansion of N in N 4.066 * [backup-simplify]: Simplify 0 into 0 4.066 * [backup-simplify]: Simplify 1 into 1 4.066 * [backup-simplify]: Simplify (/ 1 1) into 1 4.067 * [backup-simplify]: Simplify (+ 0 1) into 1 4.067 * [backup-simplify]: Simplify (log 1) into 0 4.067 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.068 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.068 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 4.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.069 * [backup-simplify]: Simplify (+ 1 0) into 1 4.070 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.071 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.071 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 4.071 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 4.071 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 4.071 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 4.071 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 4.071 * [taylor]: Taking taylor expansion of 1 in N 4.071 * [backup-simplify]: Simplify 1 into 1 4.071 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.071 * [taylor]: Taking taylor expansion of N in N 4.071 * [backup-simplify]: Simplify 0 into 0 4.071 * [backup-simplify]: Simplify 1 into 1 4.072 * [backup-simplify]: Simplify (/ 1 1) into 1 4.072 * [backup-simplify]: Simplify (+ 0 1) into 1 4.072 * [backup-simplify]: Simplify (log 1) into 0 4.073 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.073 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.073 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 4.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.074 * [backup-simplify]: Simplify (+ 1 0) into 1 4.076 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.076 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.076 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 4.076 * [taylor]: Taking taylor expansion of (- (log (/ 1 N))) in N 4.076 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.076 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.076 * [taylor]: Taking taylor expansion of N in N 4.076 * [backup-simplify]: Simplify 0 into 0 4.076 * [backup-simplify]: Simplify 1 into 1 4.077 * [backup-simplify]: Simplify (/ 1 1) into 1 4.077 * [backup-simplify]: Simplify (log 1) into 0 4.077 * [backup-simplify]: Simplify (* (sqrt (- (log N))) (sqrt (- (log N)))) into (pow (sqrt (- (log N))) 2) 4.078 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.078 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 4.078 * [backup-simplify]: Simplify (+ (pow (sqrt (- (log N))) 2) (log N)) into (+ (pow (sqrt (- (log N))) 2) (log N)) 4.078 * [backup-simplify]: Simplify (+ (pow (sqrt (- (log N))) 2) (log N)) into (+ (pow (sqrt (- (log N))) 2) (log N)) 4.078 * [backup-simplify]: Simplify (+ (* (sqrt (- (log N))) (/ 1/2 (sqrt (- (log N))))) (* (/ 1/2 (sqrt (- (log N)))) (sqrt (- (log N))))) into 1 4.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.081 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.081 * [backup-simplify]: Simplify (- 0) into 0 4.081 * [backup-simplify]: Simplify (+ 1 0) into 1 4.081 * [backup-simplify]: Simplify 1 into 1 4.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.083 * [backup-simplify]: Simplify (+ 0 0) into 0 4.087 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.087 * [backup-simplify]: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 4.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.089 * [backup-simplify]: Simplify (+ 0 0) into 0 4.092 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.092 * [backup-simplify]: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 4.093 * [backup-simplify]: Simplify (+ (* (sqrt (- (log N))) (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N)))))) (+ (* (/ 1/2 (sqrt (- (log N)))) (/ 1/2 (sqrt (- (log N))))) (* (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) (sqrt (- (log N)))))) into (- 1/2) 4.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.101 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.101 * [backup-simplify]: Simplify (- 0) into 0 4.102 * [backup-simplify]: Simplify (+ (- 1/2) 0) into -1/2 4.102 * [backup-simplify]: Simplify -1/2 into -1/2 4.102 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))))) into (- (+ (log (/ 1 N)) (+ (/ 1 N) (pow (sqrt (- (log (/ 1 N)))) 2))) (* 1/2 (/ 1 (pow N 2)))) 4.103 * [backup-simplify]: Simplify (fma (sqrt (log1p (/ 1 (- N)))) (sqrt (log1p (/ 1 (- N)))) (- (log (/ 1 (- N))))) into (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 4.103 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in (N) around 0 4.103 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in N 4.103 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) (- (log (/ -1 N)))) 4.103 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) in N 4.103 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 4.103 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 4.103 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 4.103 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 4.103 * [taylor]: Taking taylor expansion of 1 in N 4.103 * [backup-simplify]: Simplify 1 into 1 4.103 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.103 * [taylor]: Taking taylor expansion of -1 in N 4.103 * [backup-simplify]: Simplify -1 into -1 4.103 * [taylor]: Taking taylor expansion of N in N 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify 1 into 1 4.104 * [backup-simplify]: Simplify (/ -1 1) into -1 4.104 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.104 * [backup-simplify]: Simplify (log -1) into (log -1) 4.105 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.106 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.106 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 4.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.108 * [backup-simplify]: Simplify (+ 1 0) into 1 4.109 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.110 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.110 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 4.111 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 4.111 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 4.111 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 4.111 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 4.111 * [taylor]: Taking taylor expansion of 1 in N 4.111 * [backup-simplify]: Simplify 1 into 1 4.111 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.111 * [taylor]: Taking taylor expansion of -1 in N 4.111 * [backup-simplify]: Simplify -1 into -1 4.111 * [taylor]: Taking taylor expansion of N in N 4.111 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify 1 into 1 4.111 * [backup-simplify]: Simplify (/ -1 1) into -1 4.112 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.112 * [backup-simplify]: Simplify (log -1) into (log -1) 4.113 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.114 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.114 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 4.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.115 * [backup-simplify]: Simplify (+ 1 0) into 1 4.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.118 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.118 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 4.118 * [taylor]: Taking taylor expansion of (- (log (/ -1 N))) in N 4.118 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 4.118 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.118 * [taylor]: Taking taylor expansion of -1 in N 4.118 * [backup-simplify]: Simplify -1 into -1 4.118 * [taylor]: Taking taylor expansion of N in N 4.118 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify 1 into 1 4.119 * [backup-simplify]: Simplify (/ -1 1) into -1 4.119 * [backup-simplify]: Simplify (log -1) into (log -1) 4.119 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in N 4.119 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) (- (log (/ -1 N)))) 4.119 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) in N 4.119 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 4.119 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 4.119 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 4.119 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 4.119 * [taylor]: Taking taylor expansion of 1 in N 4.119 * [backup-simplify]: Simplify 1 into 1 4.119 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.119 * [taylor]: Taking taylor expansion of -1 in N 4.119 * [backup-simplify]: Simplify -1 into -1 4.119 * [taylor]: Taking taylor expansion of N in N 4.119 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify 1 into 1 4.119 * [backup-simplify]: Simplify (/ -1 1) into -1 4.120 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.120 * [backup-simplify]: Simplify (log -1) into (log -1) 4.120 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.121 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.121 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 4.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.122 * [backup-simplify]: Simplify (+ 1 0) into 1 4.123 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.123 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.124 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 4.124 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 4.124 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 4.124 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 4.124 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 4.124 * [taylor]: Taking taylor expansion of 1 in N 4.124 * [backup-simplify]: Simplify 1 into 1 4.124 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.124 * [taylor]: Taking taylor expansion of -1 in N 4.124 * [backup-simplify]: Simplify -1 into -1 4.124 * [taylor]: Taking taylor expansion of N in N 4.124 * [backup-simplify]: Simplify 0 into 0 4.124 * [backup-simplify]: Simplify 1 into 1 4.124 * [backup-simplify]: Simplify (/ -1 1) into -1 4.124 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.125 * [backup-simplify]: Simplify (log -1) into (log -1) 4.125 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.126 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.126 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 4.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.127 * [backup-simplify]: Simplify (+ 1 0) into 1 4.127 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.128 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.128 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 4.128 * [taylor]: Taking taylor expansion of (- (log (/ -1 N))) in N 4.128 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 4.128 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.128 * [taylor]: Taking taylor expansion of -1 in N 4.128 * [backup-simplify]: Simplify -1 into -1 4.128 * [taylor]: Taking taylor expansion of N in N 4.128 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify 1 into 1 4.129 * [backup-simplify]: Simplify (/ -1 1) into -1 4.129 * [backup-simplify]: Simplify (log -1) into (log -1) 4.130 * [backup-simplify]: Simplify (* (sqrt (- (log -1) (log N))) (sqrt (- (log -1) (log N)))) into (- (log -1) (log N)) 4.130 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.130 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 4.131 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 4.131 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (sqrt (- (log -1) (log N))))) into (- 1) 4.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.133 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 4.134 * [backup-simplify]: Simplify (- 0) into 0 4.134 * [backup-simplify]: Simplify (+ (- 1) 0) into -1 4.134 * [backup-simplify]: Simplify -1 into -1 4.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.135 * [backup-simplify]: Simplify (+ 0 0) into 0 4.137 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.137 * [backup-simplify]: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) 4.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.138 * [backup-simplify]: Simplify (+ 0 0) into 0 4.140 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.141 * [backup-simplify]: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) 4.143 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) (sqrt (- (log -1) (log N)))))) into (- 1/2) 4.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.145 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 4.145 * [backup-simplify]: Simplify (- 0) into 0 4.146 * [backup-simplify]: Simplify (+ (- 1/2) 0) into -1/2 4.146 * [backup-simplify]: Simplify -1/2 into -1/2 4.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.147 * [backup-simplify]: Simplify (+ 0 0) into 0 4.152 * [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 4.155 * [backup-simplify]: Simplify (/ (- -1/3 (+ (* 2 (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))))))) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) 4.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.157 * [backup-simplify]: Simplify (+ 0 0) into 0 4.160 * [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 4.162 * [backup-simplify]: Simplify (/ (- -1/3 (+ (* 2 (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))))))) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) 4.166 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) (sqrt (- (log -1) (log N))))))) into (- 1/3) 4.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.170 * [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 4.170 * [backup-simplify]: Simplify (- 0) into 0 4.170 * [backup-simplify]: Simplify (+ (- 1/3) 0) into -1/3 4.170 * [backup-simplify]: Simplify -1/3 into -1/3 4.171 * [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)))) 4.171 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 4.171 * [backup-simplify]: Simplify (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) into (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 4.171 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in (N) around 0 4.171 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in N 4.171 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p N)) (sqrt (log1p N))) (- (log N))) 4.171 * [taylor]: Taking taylor expansion of (* (sqrt (log1p N)) (sqrt (log1p N))) in N 4.171 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 4.171 * [taylor]: Taking taylor expansion of (log1p N) in N 4.171 * [taylor]: Rewrote expression to (log (+ 1 N)) 4.171 * [taylor]: Taking taylor expansion of (+ 1 N) in N 4.171 * [taylor]: Taking taylor expansion of 1 in N 4.171 * [backup-simplify]: Simplify 1 into 1 4.171 * [taylor]: Taking taylor expansion of N in N 4.171 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify 1 into 1 4.171 * [backup-simplify]: Simplify (+ 1 0) into 1 4.172 * [backup-simplify]: Simplify (log 1) into 0 4.172 * [backup-simplify]: Simplify (+ 0 1) into 1 4.173 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.173 * [backup-simplify]: Simplify (sqrt 0) into 0 4.174 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.174 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 4.174 * [taylor]: Taking taylor expansion of (log1p N) in N 4.174 * [taylor]: Rewrote expression to (log (+ 1 N)) 4.174 * [taylor]: Taking taylor expansion of (+ 1 N) in N 4.174 * [taylor]: Taking taylor expansion of 1 in N 4.174 * [backup-simplify]: Simplify 1 into 1 4.174 * [taylor]: Taking taylor expansion of N in N 4.174 * [backup-simplify]: Simplify 0 into 0 4.174 * [backup-simplify]: Simplify 1 into 1 4.174 * [backup-simplify]: Simplify (+ 1 0) into 1 4.175 * [backup-simplify]: Simplify (log 1) into 0 4.175 * [backup-simplify]: Simplify (+ 0 1) into 1 4.175 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.176 * [backup-simplify]: Simplify (sqrt 0) into 0 4.177 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.177 * [taylor]: Taking taylor expansion of (- (log N)) in N 4.177 * [taylor]: Taking taylor expansion of (log N) in N 4.177 * [taylor]: Taking taylor expansion of N in N 4.177 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify 1 into 1 4.177 * [backup-simplify]: Simplify (log 1) into 0 4.177 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in N 4.177 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p N)) (sqrt (log1p N))) (- (log N))) 4.177 * [taylor]: Taking taylor expansion of (* (sqrt (log1p N)) (sqrt (log1p N))) in N 4.177 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 4.177 * [taylor]: Taking taylor expansion of (log1p N) in N 4.177 * [taylor]: Rewrote expression to (log (+ 1 N)) 4.177 * [taylor]: Taking taylor expansion of (+ 1 N) in N 4.177 * [taylor]: Taking taylor expansion of 1 in N 4.177 * [backup-simplify]: Simplify 1 into 1 4.177 * [taylor]: Taking taylor expansion of N in N 4.177 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify 1 into 1 4.177 * [backup-simplify]: Simplify (+ 1 0) into 1 4.178 * [backup-simplify]: Simplify (log 1) into 0 4.178 * [backup-simplify]: Simplify (+ 0 1) into 1 4.179 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.179 * [backup-simplify]: Simplify (sqrt 0) into 0 4.180 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.180 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 4.180 * [taylor]: Taking taylor expansion of (log1p N) in N 4.180 * [taylor]: Rewrote expression to (log (+ 1 N)) 4.180 * [taylor]: Taking taylor expansion of (+ 1 N) in N 4.180 * [taylor]: Taking taylor expansion of 1 in N 4.180 * [backup-simplify]: Simplify 1 into 1 4.180 * [taylor]: Taking taylor expansion of N in N 4.180 * [backup-simplify]: Simplify 0 into 0 4.180 * [backup-simplify]: Simplify 1 into 1 4.180 * [backup-simplify]: Simplify (+ 1 0) into 1 4.180 * [backup-simplify]: Simplify (log 1) into 0 4.181 * [backup-simplify]: Simplify (+ 0 1) into 1 4.181 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.182 * [backup-simplify]: Simplify (sqrt 0) into 0 4.182 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.182 * [taylor]: Taking taylor expansion of (- (log N)) in N 4.183 * [taylor]: Taking taylor expansion of (log N) in N 4.183 * [taylor]: Taking taylor expansion of N in N 4.183 * [backup-simplify]: Simplify 0 into 0 4.183 * [backup-simplify]: Simplify 1 into 1 4.183 * [backup-simplify]: Simplify (log 1) into 0 4.183 * [backup-simplify]: Simplify (* 0 0) into 0 4.183 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.183 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 4.183 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 4.183 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 4.184 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 4.185 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.185 * [backup-simplify]: Simplify (- 0) into 0 4.185 * [backup-simplify]: Simplify (+ 0 0) into 0 4.185 * [backup-simplify]: Simplify 0 into 0 4.185 * [backup-simplify]: Simplify (+ 0 0) into 0 4.188 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.191 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.191 * [backup-simplify]: Simplify (+ 0 0) into 0 4.194 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.197 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.200 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 4.205 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.205 * [backup-simplify]: Simplify (- 0) into 0 4.206 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 4.207 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.207 * [backup-simplify]: Simplify (+ 0 0) into 0 4.212 * [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 4.215 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.215 * [backup-simplify]: Simplify (+ 0 0) into 0 4.218 * [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 4.221 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.223 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 4.226 * [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 4.226 * [backup-simplify]: Simplify (- 0) into 0 4.227 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 4.227 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.228 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 3)) (+ (* (- +nan.0) (pow N 2)) (- (log N)))) into (- (+ (* +nan.0 (pow N 2)) (- (log N) (* +nan.0 (pow N 3))))) 4.228 * [backup-simplify]: Simplify (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) into (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 4.228 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in (N) around 0 4.228 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in N 4.228 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) (- (log (/ 1 N)))) 4.228 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) in N 4.228 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 4.228 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 4.228 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 4.228 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 4.228 * [taylor]: Taking taylor expansion of 1 in N 4.228 * [backup-simplify]: Simplify 1 into 1 4.228 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.228 * [taylor]: Taking taylor expansion of N in N 4.228 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify 1 into 1 4.228 * [backup-simplify]: Simplify (/ 1 1) into 1 4.229 * [backup-simplify]: Simplify (+ 0 1) into 1 4.229 * [backup-simplify]: Simplify (log 1) into 0 4.229 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.230 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.230 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 4.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.230 * [backup-simplify]: Simplify (+ 1 0) into 1 4.231 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.231 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.231 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 4.232 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 4.232 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 4.232 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 4.232 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 4.232 * [taylor]: Taking taylor expansion of 1 in N 4.232 * [backup-simplify]: Simplify 1 into 1 4.232 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.232 * [taylor]: Taking taylor expansion of N in N 4.232 * [backup-simplify]: Simplify 0 into 0 4.232 * [backup-simplify]: Simplify 1 into 1 4.232 * [backup-simplify]: Simplify (/ 1 1) into 1 4.232 * [backup-simplify]: Simplify (+ 0 1) into 1 4.232 * [backup-simplify]: Simplify (log 1) into 0 4.233 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.233 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.233 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 4.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.234 * [backup-simplify]: Simplify (+ 1 0) into 1 4.235 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.235 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.235 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 4.235 * [taylor]: Taking taylor expansion of (- (log (/ 1 N))) in N 4.235 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.235 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.235 * [taylor]: Taking taylor expansion of N in N 4.235 * [backup-simplify]: Simplify 0 into 0 4.235 * [backup-simplify]: Simplify 1 into 1 4.235 * [backup-simplify]: Simplify (/ 1 1) into 1 4.235 * [backup-simplify]: Simplify (log 1) into 0 4.236 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in N 4.236 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) (- (log (/ 1 N)))) 4.236 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) in N 4.236 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 4.236 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 4.236 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 4.236 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 4.236 * [taylor]: Taking taylor expansion of 1 in N 4.236 * [backup-simplify]: Simplify 1 into 1 4.236 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.236 * [taylor]: Taking taylor expansion of N in N 4.236 * [backup-simplify]: Simplify 0 into 0 4.236 * [backup-simplify]: Simplify 1 into 1 4.236 * [backup-simplify]: Simplify (/ 1 1) into 1 4.236 * [backup-simplify]: Simplify (+ 0 1) into 1 4.237 * [backup-simplify]: Simplify (log 1) into 0 4.237 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.237 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.237 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 4.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.238 * [backup-simplify]: Simplify (+ 1 0) into 1 4.239 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.239 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.239 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 4.239 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 4.239 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 4.239 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 4.239 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 4.239 * [taylor]: Taking taylor expansion of 1 in N 4.239 * [backup-simplify]: Simplify 1 into 1 4.239 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.239 * [taylor]: Taking taylor expansion of N in N 4.239 * [backup-simplify]: Simplify 0 into 0 4.239 * [backup-simplify]: Simplify 1 into 1 4.240 * [backup-simplify]: Simplify (/ 1 1) into 1 4.240 * [backup-simplify]: Simplify (+ 0 1) into 1 4.240 * [backup-simplify]: Simplify (log 1) into 0 4.241 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.243 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.243 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 4.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.244 * [backup-simplify]: Simplify (+ 1 0) into 1 4.244 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.245 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.245 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 4.245 * [taylor]: Taking taylor expansion of (- (log (/ 1 N))) in N 4.245 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.245 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.245 * [taylor]: Taking taylor expansion of N in N 4.245 * [backup-simplify]: Simplify 0 into 0 4.245 * [backup-simplify]: Simplify 1 into 1 4.245 * [backup-simplify]: Simplify (/ 1 1) into 1 4.245 * [backup-simplify]: Simplify (log 1) into 0 4.246 * [backup-simplify]: Simplify (* (sqrt (- (log N))) (sqrt (- (log N)))) into (pow (sqrt (- (log N))) 2) 4.246 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.246 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 4.246 * [backup-simplify]: Simplify (+ (pow (sqrt (- (log N))) 2) (log N)) into (+ (pow (sqrt (- (log N))) 2) (log N)) 4.246 * [backup-simplify]: Simplify (+ (pow (sqrt (- (log N))) 2) (log N)) into (+ (pow (sqrt (- (log N))) 2) (log N)) 4.246 * [backup-simplify]: Simplify (+ (* (sqrt (- (log N))) (/ 1/2 (sqrt (- (log N))))) (* (/ 1/2 (sqrt (- (log N)))) (sqrt (- (log N))))) into 1 4.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.248 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.248 * [backup-simplify]: Simplify (- 0) into 0 4.248 * [backup-simplify]: Simplify (+ 1 0) into 1 4.248 * [backup-simplify]: Simplify 1 into 1 4.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.249 * [backup-simplify]: Simplify (+ 0 0) into 0 4.251 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.251 * [backup-simplify]: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 4.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.252 * [backup-simplify]: Simplify (+ 0 0) into 0 4.253 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.254 * [backup-simplify]: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 4.254 * [backup-simplify]: Simplify (+ (* (sqrt (- (log N))) (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N)))))) (+ (* (/ 1/2 (sqrt (- (log N)))) (/ 1/2 (sqrt (- (log N))))) (* (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) (sqrt (- (log N)))))) into (- 1/2) 4.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.256 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.257 * [backup-simplify]: Simplify (- 0) into 0 4.257 * [backup-simplify]: Simplify (+ (- 1/2) 0) into -1/2 4.257 * [backup-simplify]: Simplify -1/2 into -1/2 4.257 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))))) into (- (+ (log (/ 1 N)) (+ (/ 1 N) (pow (sqrt (- (log (/ 1 N)))) 2))) (* 1/2 (/ 1 (pow N 2)))) 4.257 * [backup-simplify]: Simplify (fma (sqrt (log1p (/ 1 (- N)))) (sqrt (log1p (/ 1 (- N)))) (- (log (/ 1 (- N))))) into (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 4.257 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in (N) around 0 4.258 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in N 4.258 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) (- (log (/ -1 N)))) 4.258 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) in N 4.258 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 4.258 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 4.258 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 4.258 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 4.258 * [taylor]: Taking taylor expansion of 1 in N 4.258 * [backup-simplify]: Simplify 1 into 1 4.258 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.258 * [taylor]: Taking taylor expansion of -1 in N 4.258 * [backup-simplify]: Simplify -1 into -1 4.258 * [taylor]: Taking taylor expansion of N in N 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify 1 into 1 4.258 * [backup-simplify]: Simplify (/ -1 1) into -1 4.258 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.259 * [backup-simplify]: Simplify (log -1) into (log -1) 4.259 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.260 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.260 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 4.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.261 * [backup-simplify]: Simplify (+ 1 0) into 1 4.261 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.262 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.262 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 4.262 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 4.262 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 4.262 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 4.262 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 4.262 * [taylor]: Taking taylor expansion of 1 in N 4.262 * [backup-simplify]: Simplify 1 into 1 4.262 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.262 * [taylor]: Taking taylor expansion of -1 in N 4.262 * [backup-simplify]: Simplify -1 into -1 4.263 * [taylor]: Taking taylor expansion of N in N 4.263 * [backup-simplify]: Simplify 0 into 0 4.263 * [backup-simplify]: Simplify 1 into 1 4.263 * [backup-simplify]: Simplify (/ -1 1) into -1 4.263 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.263 * [backup-simplify]: Simplify (log -1) into (log -1) 4.264 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.264 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.265 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 4.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.265 * [backup-simplify]: Simplify (+ 1 0) into 1 4.266 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.267 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.267 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 4.267 * [taylor]: Taking taylor expansion of (- (log (/ -1 N))) in N 4.267 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 4.267 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.267 * [taylor]: Taking taylor expansion of -1 in N 4.267 * [backup-simplify]: Simplify -1 into -1 4.267 * [taylor]: Taking taylor expansion of N in N 4.267 * [backup-simplify]: Simplify 0 into 0 4.267 * [backup-simplify]: Simplify 1 into 1 4.267 * [backup-simplify]: Simplify (/ -1 1) into -1 4.268 * [backup-simplify]: Simplify (log -1) into (log -1) 4.268 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in N 4.268 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) (- (log (/ -1 N)))) 4.268 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) in N 4.268 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 4.268 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 4.268 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 4.268 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 4.268 * [taylor]: Taking taylor expansion of 1 in N 4.268 * [backup-simplify]: Simplify 1 into 1 4.268 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.268 * [taylor]: Taking taylor expansion of -1 in N 4.268 * [backup-simplify]: Simplify -1 into -1 4.268 * [taylor]: Taking taylor expansion of N in N 4.268 * [backup-simplify]: Simplify 0 into 0 4.268 * [backup-simplify]: Simplify 1 into 1 4.268 * [backup-simplify]: Simplify (/ -1 1) into -1 4.268 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.269 * [backup-simplify]: Simplify (log -1) into (log -1) 4.269 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.270 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.270 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 4.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.271 * [backup-simplify]: Simplify (+ 1 0) into 1 4.272 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.273 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.274 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 4.274 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 4.274 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 4.274 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 4.274 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 4.274 * [taylor]: Taking taylor expansion of 1 in N 4.274 * [backup-simplify]: Simplify 1 into 1 4.274 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.274 * [taylor]: Taking taylor expansion of -1 in N 4.274 * [backup-simplify]: Simplify -1 into -1 4.274 * [taylor]: Taking taylor expansion of N in N 4.274 * [backup-simplify]: Simplify 0 into 0 4.274 * [backup-simplify]: Simplify 1 into 1 4.275 * [backup-simplify]: Simplify (/ -1 1) into -1 4.275 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.276 * [backup-simplify]: Simplify (log -1) into (log -1) 4.277 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.277 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.278 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 4.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.280 * [backup-simplify]: Simplify (+ 1 0) into 1 4.281 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.282 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.283 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 4.283 * [taylor]: Taking taylor expansion of (- (log (/ -1 N))) in N 4.283 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 4.283 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.283 * [taylor]: Taking taylor expansion of -1 in N 4.283 * [backup-simplify]: Simplify -1 into -1 4.283 * [taylor]: Taking taylor expansion of N in N 4.283 * [backup-simplify]: Simplify 0 into 0 4.283 * [backup-simplify]: Simplify 1 into 1 4.283 * [backup-simplify]: Simplify (/ -1 1) into -1 4.284 * [backup-simplify]: Simplify (log -1) into (log -1) 4.285 * [backup-simplify]: Simplify (* (sqrt (- (log -1) (log N))) (sqrt (- (log -1) (log N)))) into (- (log -1) (log N)) 4.285 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.286 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 4.287 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 4.287 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (sqrt (- (log -1) (log N))))) into (- 1) 4.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.291 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 4.292 * [backup-simplify]: Simplify (- 0) into 0 4.292 * [backup-simplify]: Simplify (+ (- 1) 0) into -1 4.292 * [backup-simplify]: Simplify -1 into -1 4.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.294 * [backup-simplify]: Simplify (+ 0 0) into 0 4.296 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.298 * [backup-simplify]: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) 4.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.299 * [backup-simplify]: Simplify (+ 0 0) into 0 4.302 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.303 * [backup-simplify]: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) 4.305 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) (sqrt (- (log -1) (log N)))))) into (- 1/2) 4.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.307 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 4.308 * [backup-simplify]: Simplify (- 0) into 0 4.308 * [backup-simplify]: Simplify (+ (- 1/2) 0) into -1/2 4.308 * [backup-simplify]: Simplify -1/2 into -1/2 4.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.310 * [backup-simplify]: Simplify (+ 0 0) into 0 4.313 * [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 4.315 * [backup-simplify]: Simplify (/ (- -1/3 (+ (* 2 (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))))))) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) 4.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.316 * [backup-simplify]: Simplify (+ 0 0) into 0 4.319 * [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 4.320 * [backup-simplify]: Simplify (/ (- -1/3 (+ (* 2 (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))))))) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) 4.325 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) (sqrt (- (log -1) (log N))))))) into (- 1/3) 4.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.328 * [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 4.329 * [backup-simplify]: Simplify (- 0) into 0 4.329 * [backup-simplify]: Simplify (+ (- 1/3) 0) into -1/3 4.329 * [backup-simplify]: Simplify -1/3 into -1/3 4.329 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 4.329 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 4.329 * [backup-simplify]: Simplify (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) into (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 4.329 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in (N) around 0 4.329 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in N 4.330 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p N)) (sqrt (log1p N))) (- (log N))) 4.330 * [taylor]: Taking taylor expansion of (* (sqrt (log1p N)) (sqrt (log1p N))) in N 4.330 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 4.330 * [taylor]: Taking taylor expansion of (log1p N) in N 4.330 * [taylor]: Rewrote expression to (log (+ 1 N)) 4.330 * [taylor]: Taking taylor expansion of (+ 1 N) in N 4.330 * [taylor]: Taking taylor expansion of 1 in N 4.330 * [backup-simplify]: Simplify 1 into 1 4.330 * [taylor]: Taking taylor expansion of N in N 4.330 * [backup-simplify]: Simplify 0 into 0 4.330 * [backup-simplify]: Simplify 1 into 1 4.330 * [backup-simplify]: Simplify (+ 1 0) into 1 4.330 * [backup-simplify]: Simplify (log 1) into 0 4.330 * [backup-simplify]: Simplify (+ 0 1) into 1 4.331 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.331 * [backup-simplify]: Simplify (sqrt 0) into 0 4.332 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.332 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 4.332 * [taylor]: Taking taylor expansion of (log1p N) in N 4.332 * [taylor]: Rewrote expression to (log (+ 1 N)) 4.332 * [taylor]: Taking taylor expansion of (+ 1 N) in N 4.332 * [taylor]: Taking taylor expansion of 1 in N 4.332 * [backup-simplify]: Simplify 1 into 1 4.332 * [taylor]: Taking taylor expansion of N in N 4.332 * [backup-simplify]: Simplify 0 into 0 4.333 * [backup-simplify]: Simplify 1 into 1 4.333 * [backup-simplify]: Simplify (+ 1 0) into 1 4.333 * [backup-simplify]: Simplify (log 1) into 0 4.333 * [backup-simplify]: Simplify (+ 0 1) into 1 4.334 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.334 * [backup-simplify]: Simplify (sqrt 0) into 0 4.335 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.335 * [taylor]: Taking taylor expansion of (- (log N)) in N 4.335 * [taylor]: Taking taylor expansion of (log N) in N 4.335 * [taylor]: Taking taylor expansion of N in N 4.335 * [backup-simplify]: Simplify 0 into 0 4.335 * [backup-simplify]: Simplify 1 into 1 4.335 * [backup-simplify]: Simplify (log 1) into 0 4.335 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in N 4.335 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p N)) (sqrt (log1p N))) (- (log N))) 4.335 * [taylor]: Taking taylor expansion of (* (sqrt (log1p N)) (sqrt (log1p N))) in N 4.335 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 4.335 * [taylor]: Taking taylor expansion of (log1p N) in N 4.335 * [taylor]: Rewrote expression to (log (+ 1 N)) 4.335 * [taylor]: Taking taylor expansion of (+ 1 N) in N 4.336 * [taylor]: Taking taylor expansion of 1 in N 4.336 * [backup-simplify]: Simplify 1 into 1 4.336 * [taylor]: Taking taylor expansion of N in N 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify 1 into 1 4.336 * [backup-simplify]: Simplify (+ 1 0) into 1 4.336 * [backup-simplify]: Simplify (log 1) into 0 4.336 * [backup-simplify]: Simplify (+ 0 1) into 1 4.337 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.337 * [backup-simplify]: Simplify (sqrt 0) into 0 4.338 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.338 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 4.338 * [taylor]: Taking taylor expansion of (log1p N) in N 4.338 * [taylor]: Rewrote expression to (log (+ 1 N)) 4.338 * [taylor]: Taking taylor expansion of (+ 1 N) in N 4.338 * [taylor]: Taking taylor expansion of 1 in N 4.338 * [backup-simplify]: Simplify 1 into 1 4.339 * [taylor]: Taking taylor expansion of N in N 4.339 * [backup-simplify]: Simplify 0 into 0 4.339 * [backup-simplify]: Simplify 1 into 1 4.339 * [backup-simplify]: Simplify (+ 1 0) into 1 4.339 * [backup-simplify]: Simplify (log 1) into 0 4.339 * [backup-simplify]: Simplify (+ 0 1) into 1 4.340 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.340 * [backup-simplify]: Simplify (sqrt 0) into 0 4.341 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.341 * [taylor]: Taking taylor expansion of (- (log N)) in N 4.341 * [taylor]: Taking taylor expansion of (log N) in N 4.341 * [taylor]: Taking taylor expansion of N in N 4.341 * [backup-simplify]: Simplify 0 into 0 4.341 * [backup-simplify]: Simplify 1 into 1 4.341 * [backup-simplify]: Simplify (log 1) into 0 4.342 * [backup-simplify]: Simplify (* 0 0) into 0 4.342 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.342 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 4.342 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 4.342 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 4.342 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 4.343 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.344 * [backup-simplify]: Simplify (- 0) into 0 4.344 * [backup-simplify]: Simplify (+ 0 0) into 0 4.344 * [backup-simplify]: Simplify 0 into 0 4.344 * [backup-simplify]: Simplify (+ 0 0) into 0 4.346 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.347 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.348 * [backup-simplify]: Simplify (+ 0 0) into 0 4.349 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.351 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.353 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 4.354 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.354 * [backup-simplify]: Simplify (- 0) into 0 4.355 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 4.355 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.355 * [backup-simplify]: Simplify (+ 0 0) into 0 4.358 * [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 4.360 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.361 * [backup-simplify]: Simplify (+ 0 0) into 0 4.363 * [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 4.366 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.368 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 4.371 * [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 4.371 * [backup-simplify]: Simplify (- 0) into 0 4.372 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 4.372 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.373 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 3)) (+ (* (- +nan.0) (pow N 2)) (- (log N)))) into (- (+ (* +nan.0 (pow N 2)) (- (log N) (* +nan.0 (pow N 3))))) 4.373 * [backup-simplify]: Simplify (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) into (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 4.373 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in (N) around 0 4.373 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in N 4.373 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) (- (log (/ 1 N)))) 4.373 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) in N 4.373 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 4.373 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 4.373 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 4.373 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 4.373 * [taylor]: Taking taylor expansion of 1 in N 4.373 * [backup-simplify]: Simplify 1 into 1 4.373 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.373 * [taylor]: Taking taylor expansion of N in N 4.373 * [backup-simplify]: Simplify 0 into 0 4.373 * [backup-simplify]: Simplify 1 into 1 4.373 * [backup-simplify]: Simplify (/ 1 1) into 1 4.374 * [backup-simplify]: Simplify (+ 0 1) into 1 4.374 * [backup-simplify]: Simplify (log 1) into 0 4.374 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.374 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.374 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 4.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.375 * [backup-simplify]: Simplify (+ 1 0) into 1 4.376 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.376 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.376 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 4.376 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 4.376 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 4.376 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 4.376 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 4.376 * [taylor]: Taking taylor expansion of 1 in N 4.376 * [backup-simplify]: Simplify 1 into 1 4.376 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.376 * [taylor]: Taking taylor expansion of N in N 4.376 * [backup-simplify]: Simplify 0 into 0 4.376 * [backup-simplify]: Simplify 1 into 1 4.377 * [backup-simplify]: Simplify (/ 1 1) into 1 4.377 * [backup-simplify]: Simplify (+ 0 1) into 1 4.377 * [backup-simplify]: Simplify (log 1) into 0 4.377 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.378 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.378 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 4.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.378 * [backup-simplify]: Simplify (+ 1 0) into 1 4.380 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.380 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.380 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 4.380 * [taylor]: Taking taylor expansion of (- (log (/ 1 N))) in N 4.380 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.380 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.380 * [taylor]: Taking taylor expansion of N in N 4.380 * [backup-simplify]: Simplify 0 into 0 4.380 * [backup-simplify]: Simplify 1 into 1 4.381 * [backup-simplify]: Simplify (/ 1 1) into 1 4.381 * [backup-simplify]: Simplify (log 1) into 0 4.381 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in N 4.381 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) (- (log (/ 1 N)))) 4.381 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) in N 4.381 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 4.381 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 4.381 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 4.381 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 4.381 * [taylor]: Taking taylor expansion of 1 in N 4.381 * [backup-simplify]: Simplify 1 into 1 4.381 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.381 * [taylor]: Taking taylor expansion of N in N 4.381 * [backup-simplify]: Simplify 0 into 0 4.381 * [backup-simplify]: Simplify 1 into 1 4.382 * [backup-simplify]: Simplify (/ 1 1) into 1 4.382 * [backup-simplify]: Simplify (+ 0 1) into 1 4.383 * [backup-simplify]: Simplify (log 1) into 0 4.383 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.383 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.384 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 4.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.385 * [backup-simplify]: Simplify (+ 1 0) into 1 4.386 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.386 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.387 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 4.387 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 4.387 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 4.387 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 4.387 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 4.387 * [taylor]: Taking taylor expansion of 1 in N 4.387 * [backup-simplify]: Simplify 1 into 1 4.387 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.387 * [taylor]: Taking taylor expansion of N in N 4.387 * [backup-simplify]: Simplify 0 into 0 4.387 * [backup-simplify]: Simplify 1 into 1 4.387 * [backup-simplify]: Simplify (/ 1 1) into 1 4.388 * [backup-simplify]: Simplify (+ 0 1) into 1 4.388 * [backup-simplify]: Simplify (log 1) into 0 4.389 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.389 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.389 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 4.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.390 * [backup-simplify]: Simplify (+ 1 0) into 1 4.392 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.392 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.392 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 4.392 * [taylor]: Taking taylor expansion of (- (log (/ 1 N))) in N 4.392 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.392 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.392 * [taylor]: Taking taylor expansion of N in N 4.392 * [backup-simplify]: Simplify 0 into 0 4.392 * [backup-simplify]: Simplify 1 into 1 4.393 * [backup-simplify]: Simplify (/ 1 1) into 1 4.393 * [backup-simplify]: Simplify (log 1) into 0 4.393 * [backup-simplify]: Simplify (* (sqrt (- (log N))) (sqrt (- (log N)))) into (pow (sqrt (- (log N))) 2) 4.394 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.394 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 4.394 * [backup-simplify]: Simplify (+ (pow (sqrt (- (log N))) 2) (log N)) into (+ (pow (sqrt (- (log N))) 2) (log N)) 4.394 * [backup-simplify]: Simplify (+ (pow (sqrt (- (log N))) 2) (log N)) into (+ (pow (sqrt (- (log N))) 2) (log N)) 4.394 * [backup-simplify]: Simplify (+ (* (sqrt (- (log N))) (/ 1/2 (sqrt (- (log N))))) (* (/ 1/2 (sqrt (- (log N)))) (sqrt (- (log N))))) into 1 4.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.396 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.397 * [backup-simplify]: Simplify (- 0) into 0 4.397 * [backup-simplify]: Simplify (+ 1 0) into 1 4.397 * [backup-simplify]: Simplify 1 into 1 4.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.398 * [backup-simplify]: Simplify (+ 0 0) into 0 4.401 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.402 * [backup-simplify]: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 4.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.404 * [backup-simplify]: Simplify (+ 0 0) into 0 4.409 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.410 * [backup-simplify]: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 4.410 * [backup-simplify]: Simplify (+ (* (sqrt (- (log N))) (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N)))))) (+ (* (/ 1/2 (sqrt (- (log N)))) (/ 1/2 (sqrt (- (log N))))) (* (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) (sqrt (- (log N)))))) into (- 1/2) 4.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.413 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.413 * [backup-simplify]: Simplify (- 0) into 0 4.414 * [backup-simplify]: Simplify (+ (- 1/2) 0) into -1/2 4.414 * [backup-simplify]: Simplify -1/2 into -1/2 4.414 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))))) into (- (+ (log (/ 1 N)) (+ (/ 1 N) (pow (sqrt (- (log (/ 1 N)))) 2))) (* 1/2 (/ 1 (pow N 2)))) 4.414 * [backup-simplify]: Simplify (fma (sqrt (log1p (/ 1 (- N)))) (sqrt (log1p (/ 1 (- N)))) (- (log (/ 1 (- N))))) into (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 4.414 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in (N) around 0 4.414 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in N 4.414 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) (- (log (/ -1 N)))) 4.414 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) in N 4.414 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 4.414 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 4.415 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 4.415 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 4.415 * [taylor]: Taking taylor expansion of 1 in N 4.415 * [backup-simplify]: Simplify 1 into 1 4.415 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.415 * [taylor]: Taking taylor expansion of -1 in N 4.415 * [backup-simplify]: Simplify -1 into -1 4.415 * [taylor]: Taking taylor expansion of N in N 4.415 * [backup-simplify]: Simplify 0 into 0 4.415 * [backup-simplify]: Simplify 1 into 1 4.415 * [backup-simplify]: Simplify (/ -1 1) into -1 4.415 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.416 * [backup-simplify]: Simplify (log -1) into (log -1) 4.416 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.417 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.417 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 4.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.418 * [backup-simplify]: Simplify (+ 1 0) into 1 4.419 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.419 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.419 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 4.419 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 4.419 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 4.419 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 4.419 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 4.420 * [taylor]: Taking taylor expansion of 1 in N 4.420 * [backup-simplify]: Simplify 1 into 1 4.420 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.420 * [taylor]: Taking taylor expansion of -1 in N 4.420 * [backup-simplify]: Simplify -1 into -1 4.420 * [taylor]: Taking taylor expansion of N in N 4.420 * [backup-simplify]: Simplify 0 into 0 4.420 * [backup-simplify]: Simplify 1 into 1 4.420 * [backup-simplify]: Simplify (/ -1 1) into -1 4.420 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.420 * [backup-simplify]: Simplify (log -1) into (log -1) 4.421 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.422 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.422 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 4.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.423 * [backup-simplify]: Simplify (+ 1 0) into 1 4.423 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.424 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.424 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 4.424 * [taylor]: Taking taylor expansion of (- (log (/ -1 N))) in N 4.424 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 4.424 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.424 * [taylor]: Taking taylor expansion of -1 in N 4.424 * [backup-simplify]: Simplify -1 into -1 4.424 * [taylor]: Taking taylor expansion of N in N 4.424 * [backup-simplify]: Simplify 0 into 0 4.424 * [backup-simplify]: Simplify 1 into 1 4.425 * [backup-simplify]: Simplify (/ -1 1) into -1 4.425 * [backup-simplify]: Simplify (log -1) into (log -1) 4.425 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in N 4.425 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) (- (log (/ -1 N)))) 4.425 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) in N 4.425 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 4.425 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 4.425 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 4.425 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 4.425 * [taylor]: Taking taylor expansion of 1 in N 4.425 * [backup-simplify]: Simplify 1 into 1 4.425 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.425 * [taylor]: Taking taylor expansion of -1 in N 4.425 * [backup-simplify]: Simplify -1 into -1 4.425 * [taylor]: Taking taylor expansion of N in N 4.425 * [backup-simplify]: Simplify 0 into 0 4.425 * [backup-simplify]: Simplify 1 into 1 4.425 * [backup-simplify]: Simplify (/ -1 1) into -1 4.426 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.426 * [backup-simplify]: Simplify (log -1) into (log -1) 4.427 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.427 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.427 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 4.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.428 * [backup-simplify]: Simplify (+ 1 0) into 1 4.430 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.430 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.431 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 4.431 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 4.431 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 4.431 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 4.431 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 4.431 * [taylor]: Taking taylor expansion of 1 in N 4.431 * [backup-simplify]: Simplify 1 into 1 4.431 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.431 * [taylor]: Taking taylor expansion of -1 in N 4.431 * [backup-simplify]: Simplify -1 into -1 4.431 * [taylor]: Taking taylor expansion of N in N 4.431 * [backup-simplify]: Simplify 0 into 0 4.431 * [backup-simplify]: Simplify 1 into 1 4.431 * [backup-simplify]: Simplify (/ -1 1) into -1 4.431 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.432 * [backup-simplify]: Simplify (log -1) into (log -1) 4.432 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.433 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.433 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 4.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.434 * [backup-simplify]: Simplify (+ 1 0) into 1 4.435 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.435 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.435 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 4.435 * [taylor]: Taking taylor expansion of (- (log (/ -1 N))) in N 4.436 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 4.436 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.436 * [taylor]: Taking taylor expansion of -1 in N 4.436 * [backup-simplify]: Simplify -1 into -1 4.436 * [taylor]: Taking taylor expansion of N in N 4.436 * [backup-simplify]: Simplify 0 into 0 4.436 * [backup-simplify]: Simplify 1 into 1 4.436 * [backup-simplify]: Simplify (/ -1 1) into -1 4.436 * [backup-simplify]: Simplify (log -1) into (log -1) 4.437 * [backup-simplify]: Simplify (* (sqrt (- (log -1) (log N))) (sqrt (- (log -1) (log N)))) into (- (log -1) (log N)) 4.437 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.438 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 4.438 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 4.438 * [backup-simplify]: Simplify 0 into 0 4.439 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (sqrt (- (log -1) (log N))))) into (- 1) 4.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.441 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 4.441 * [backup-simplify]: Simplify (- 0) into 0 4.441 * [backup-simplify]: Simplify (+ (- 1) 0) into -1 4.441 * [backup-simplify]: Simplify -1 into -1 4.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.442 * [backup-simplify]: Simplify (+ 0 0) into 0 4.444 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.445 * [backup-simplify]: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) 4.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.445 * [backup-simplify]: Simplify (+ 0 0) into 0 4.447 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.448 * [backup-simplify]: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) 4.451 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) (sqrt (- (log -1) (log N)))))) into (- 1/2) 4.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.456 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 4.457 * [backup-simplify]: Simplify (- 0) into 0 4.457 * [backup-simplify]: Simplify (+ (- 1/2) 0) into -1/2 4.457 * [backup-simplify]: Simplify -1/2 into -1/2 4.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.459 * [backup-simplify]: Simplify (+ 0 0) into 0 4.465 * [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 4.467 * [backup-simplify]: Simplify (/ (- -1/3 (+ (* 2 (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))))))) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) 4.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.468 * [backup-simplify]: Simplify (+ 0 0) into 0 4.474 * [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 4.476 * [backup-simplify]: Simplify (/ (- -1/3 (+ (* 2 (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))))))) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) 4.483 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) (sqrt (- (log -1) (log N))))))) into (- 1/3) 4.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.490 * [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 4.491 * [backup-simplify]: Simplify (- 0) into 0 4.491 * [backup-simplify]: Simplify (+ (- 1/3) 0) into -1/3 4.491 * [backup-simplify]: Simplify -1/3 into -1/3 4.492 * [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)))) 4.492 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 4.492 * [backup-simplify]: Simplify (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) into (pow (pow (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 2) 1/3) 4.492 * [approximate]: Taking taylor expansion of (pow (pow (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 2) 1/3) in (N) around 0 4.492 * [taylor]: Taking taylor expansion of (pow (pow (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 2) 1/3) in N 4.492 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 2)))) in N 4.492 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 2))) in N 4.492 * [taylor]: Taking taylor expansion of 1/3 in N 4.492 * [backup-simplify]: Simplify 1/3 into 1/3 4.492 * [taylor]: Taking taylor expansion of (log (pow (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 2)) in N 4.492 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 2) in N 4.492 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in N 4.492 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p N)) (sqrt (log1p N))) (- (log N))) 4.492 * [taylor]: Taking taylor expansion of (* (sqrt (log1p N)) (sqrt (log1p N))) in N 4.492 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 4.492 * [taylor]: Taking taylor expansion of (log1p N) in N 4.493 * [taylor]: Rewrote expression to (log (+ 1 N)) 4.493 * [taylor]: Taking taylor expansion of (+ 1 N) in N 4.493 * [taylor]: Taking taylor expansion of 1 in N 4.493 * [backup-simplify]: Simplify 1 into 1 4.493 * [taylor]: Taking taylor expansion of N in N 4.493 * [backup-simplify]: Simplify 0 into 0 4.493 * [backup-simplify]: Simplify 1 into 1 4.493 * [backup-simplify]: Simplify (+ 1 0) into 1 4.493 * [backup-simplify]: Simplify (log 1) into 0 4.494 * [backup-simplify]: Simplify (+ 0 1) into 1 4.495 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.495 * [backup-simplify]: Simplify (sqrt 0) into 0 4.496 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.496 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 4.496 * [taylor]: Taking taylor expansion of (log1p N) in N 4.496 * [taylor]: Rewrote expression to (log (+ 1 N)) 4.496 * [taylor]: Taking taylor expansion of (+ 1 N) in N 4.496 * [taylor]: Taking taylor expansion of 1 in N 4.496 * [backup-simplify]: Simplify 1 into 1 4.496 * [taylor]: Taking taylor expansion of N in N 4.496 * [backup-simplify]: Simplify 0 into 0 4.496 * [backup-simplify]: Simplify 1 into 1 4.496 * [backup-simplify]: Simplify (+ 1 0) into 1 4.497 * [backup-simplify]: Simplify (log 1) into 0 4.497 * [backup-simplify]: Simplify (+ 0 1) into 1 4.498 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.498 * [backup-simplify]: Simplify (sqrt 0) into 0 4.499 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.499 * [taylor]: Taking taylor expansion of (- (log N)) in N 4.499 * [taylor]: Taking taylor expansion of (log N) in N 4.499 * [taylor]: Taking taylor expansion of N in N 4.499 * [backup-simplify]: Simplify 0 into 0 4.499 * [backup-simplify]: Simplify 1 into 1 4.499 * [backup-simplify]: Simplify (log 1) into 0 4.499 * [backup-simplify]: Simplify (* 0 0) into 0 4.500 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.500 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 4.500 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 4.500 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 4.500 * [backup-simplify]: Simplify (log (pow (log N) 2)) into (log (pow (log N) 2)) 4.500 * [backup-simplify]: Simplify (* 1/3 (log (pow (log N) 2))) into (* 1/3 (log (pow (log N) 2))) 4.500 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log N) 2)))) into (pow (pow (log N) 2) 1/3) 4.500 * [taylor]: Taking taylor expansion of (pow (pow (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 2) 1/3) in N 4.500 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 2)))) in N 4.500 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 2))) in N 4.500 * [taylor]: Taking taylor expansion of 1/3 in N 4.500 * [backup-simplify]: Simplify 1/3 into 1/3 4.500 * [taylor]: Taking taylor expansion of (log (pow (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 2)) in N 4.500 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 2) in N 4.500 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in N 4.500 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p N)) (sqrt (log1p N))) (- (log N))) 4.500 * [taylor]: Taking taylor expansion of (* (sqrt (log1p N)) (sqrt (log1p N))) in N 4.500 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 4.500 * [taylor]: Taking taylor expansion of (log1p N) in N 4.501 * [taylor]: Rewrote expression to (log (+ 1 N)) 4.501 * [taylor]: Taking taylor expansion of (+ 1 N) in N 4.501 * [taylor]: Taking taylor expansion of 1 in N 4.501 * [backup-simplify]: Simplify 1 into 1 4.501 * [taylor]: Taking taylor expansion of N in N 4.501 * [backup-simplify]: Simplify 0 into 0 4.501 * [backup-simplify]: Simplify 1 into 1 4.501 * [backup-simplify]: Simplify (+ 1 0) into 1 4.501 * [backup-simplify]: Simplify (log 1) into 0 4.501 * [backup-simplify]: Simplify (+ 0 1) into 1 4.502 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.502 * [backup-simplify]: Simplify (sqrt 0) into 0 4.503 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.503 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 4.503 * [taylor]: Taking taylor expansion of (log1p N) in N 4.503 * [taylor]: Rewrote expression to (log (+ 1 N)) 4.503 * [taylor]: Taking taylor expansion of (+ 1 N) in N 4.503 * [taylor]: Taking taylor expansion of 1 in N 4.503 * [backup-simplify]: Simplify 1 into 1 4.503 * [taylor]: Taking taylor expansion of N in N 4.503 * [backup-simplify]: Simplify 0 into 0 4.503 * [backup-simplify]: Simplify 1 into 1 4.504 * [backup-simplify]: Simplify (+ 1 0) into 1 4.504 * [backup-simplify]: Simplify (log 1) into 0 4.504 * [backup-simplify]: Simplify (+ 0 1) into 1 4.505 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.505 * [backup-simplify]: Simplify (sqrt 0) into 0 4.506 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.506 * [taylor]: Taking taylor expansion of (- (log N)) in N 4.506 * [taylor]: Taking taylor expansion of (log N) in N 4.506 * [taylor]: Taking taylor expansion of N in N 4.506 * [backup-simplify]: Simplify 0 into 0 4.506 * [backup-simplify]: Simplify 1 into 1 4.506 * [backup-simplify]: Simplify (log 1) into 0 4.506 * [backup-simplify]: Simplify (* 0 0) into 0 4.507 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 4.507 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 4.507 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 4.507 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 4.507 * [backup-simplify]: Simplify (log (pow (log N) 2)) into (log (pow (log N) 2)) 4.507 * [backup-simplify]: Simplify (* 1/3 (log (pow (log N) 2))) into (* 1/3 (log (pow (log N) 2))) 4.507 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log N) 2)))) into (pow (pow (log N) 2) 1/3) 4.507 * [backup-simplify]: Simplify (pow (pow (log N) 2) 1/3) into (pow (pow (log N) 2) 1/3) 4.508 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 4.509 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.509 * [backup-simplify]: Simplify (- 0) into 0 4.509 * [backup-simplify]: Simplify (+ 0 0) into 0 4.509 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (- (log N)))) into 0 4.510 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (log N) 2) 1)))) 1) into 0 4.510 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow (log N) 2)))) into 0 4.511 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log N) 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.511 * [backup-simplify]: Simplify 0 into 0 4.511 * [backup-simplify]: Simplify (+ 0 0) into 0 4.513 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.514 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.515 * [backup-simplify]: Simplify (+ 0 0) into 0 4.516 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.520 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.522 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 4.523 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.524 * [backup-simplify]: Simplify (- 0) into 0 4.524 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 4.525 * [backup-simplify]: Simplify (+ (* (- (log N)) (- +nan.0)) (+ (* 0 0) (* (- +nan.0) (- (log N))))) into (- (* +nan.0 (log N))) 4.526 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (log N) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (log N)))) 1)) (pow (pow (log N) 2) 1)))) 2) into (/ +nan.0 (log N)) 4.526 * [backup-simplify]: Simplify (+ (* 1/3 (/ +nan.0 (log N))) (+ (* 0 0) (* 0 (log (pow (log N) 2))))) into (- (* +nan.0 (/ 1 (log N)))) 4.527 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log N) 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* +nan.0 (/ 1 (log N)))) 1) 1)))) into (* +nan.0 (pow (/ 1 (log N)) 1/3)) 4.527 * [backup-simplify]: Simplify (* +nan.0 (pow (/ 1 (log N)) 1/3)) into (* +nan.0 (pow (/ 1 (log N)) 1/3)) 4.527 * [backup-simplify]: Simplify (+ 0 0) into 0 4.530 * [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 4.532 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.533 * [backup-simplify]: Simplify (+ 0 0) into 0 4.535 * [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 4.538 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.540 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 4.543 * [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 4.543 * [backup-simplify]: Simplify (- 0) into 0 4.544 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 4.545 * [backup-simplify]: Simplify (+ (* (- (log N)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log N)))))) into (- (* +nan.0 (log N))) 4.546 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (log N) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* +nan.0 (log N)))) 1)) (pow (pow (log N) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* +nan.0 (log N)))) 1)) (pow (pow (log N) 2) 1)))) 6) into (/ +nan.0 (log N)) 4.546 * [backup-simplify]: Simplify (+ (* 1/3 (/ +nan.0 (log N))) (+ (* 0 (/ +nan.0 (log N))) (+ (* 0 0) (* 0 (log (pow (log N) 2)))))) into (- (* +nan.0 (/ 1 (log N)))) 4.547 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log N) 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* +nan.0 (/ 1 (log N)))) 1) 1)) (* (/ (pow (- (* +nan.0 (/ 1 (log N)))) 1) 1)))) into (* +nan.0 (pow (/ 1 (log N)) 1/3)) 4.547 * [backup-simplify]: Simplify (* +nan.0 (pow (/ 1 (log N)) 1/3)) into (* +nan.0 (pow (/ 1 (log N)) 1/3)) 4.548 * [backup-simplify]: Simplify (+ (* (* +nan.0 (pow (/ 1 (log N)) 1/3)) (pow N 3)) (+ (* (* +nan.0 (pow (/ 1 (log N)) 1/3)) (pow N 2)) (pow (pow (log N) 2) 1/3))) into (- (pow (pow (log N) 2) 1/3) (+ (* +nan.0 (* (pow (/ 1 (log N)) 1/3) (pow N 3))) (- (* +nan.0 (* (pow (/ 1 (log N)) 1/3) (pow N 2)))))) 4.548 * [backup-simplify]: Simplify (* (cbrt (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N))))) (cbrt (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))))) into (pow (pow (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 2) 1/3) 4.548 * [approximate]: Taking taylor expansion of (pow (pow (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 2) 1/3) in (N) around 0 4.548 * [taylor]: Taking taylor expansion of (pow (pow (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 2) 1/3) in N 4.548 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 2)))) in N 4.548 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 2))) in N 4.548 * [taylor]: Taking taylor expansion of 1/3 in N 4.548 * [backup-simplify]: Simplify 1/3 into 1/3 4.548 * [taylor]: Taking taylor expansion of (log (pow (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 2)) in N 4.548 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 2) in N 4.548 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in N 4.548 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) (- (log (/ 1 N)))) 4.548 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) in N 4.548 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 4.548 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 4.548 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 4.548 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 4.548 * [taylor]: Taking taylor expansion of 1 in N 4.548 * [backup-simplify]: Simplify 1 into 1 4.548 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.548 * [taylor]: Taking taylor expansion of N in N 4.548 * [backup-simplify]: Simplify 0 into 0 4.548 * [backup-simplify]: Simplify 1 into 1 4.549 * [backup-simplify]: Simplify (/ 1 1) into 1 4.549 * [backup-simplify]: Simplify (+ 0 1) into 1 4.549 * [backup-simplify]: Simplify (log 1) into 0 4.550 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.550 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.550 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 4.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.551 * [backup-simplify]: Simplify (+ 1 0) into 1 4.551 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.552 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.552 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 4.552 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 4.552 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 4.552 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 4.552 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 4.552 * [taylor]: Taking taylor expansion of 1 in N 4.552 * [backup-simplify]: Simplify 1 into 1 4.552 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.552 * [taylor]: Taking taylor expansion of N in N 4.552 * [backup-simplify]: Simplify 0 into 0 4.552 * [backup-simplify]: Simplify 1 into 1 4.552 * [backup-simplify]: Simplify (/ 1 1) into 1 4.553 * [backup-simplify]: Simplify (+ 0 1) into 1 4.553 * [backup-simplify]: Simplify (log 1) into 0 4.553 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.553 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.553 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 4.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.554 * [backup-simplify]: Simplify (+ 1 0) into 1 4.555 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.555 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.555 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 4.555 * [taylor]: Taking taylor expansion of (- (log (/ 1 N))) in N 4.555 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.555 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.555 * [taylor]: Taking taylor expansion of N in N 4.555 * [backup-simplify]: Simplify 0 into 0 4.555 * [backup-simplify]: Simplify 1 into 1 4.556 * [backup-simplify]: Simplify (/ 1 1) into 1 4.556 * [backup-simplify]: Simplify (log 1) into 0 4.556 * [backup-simplify]: Simplify (* (sqrt (- (log N))) (sqrt (- (log N)))) into (pow (sqrt (- (log N))) 2) 4.556 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.556 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 4.556 * [backup-simplify]: Simplify (+ (pow (sqrt (- (log N))) 2) (log N)) into (+ (pow (sqrt (- (log N))) 2) (log N)) 4.556 * [backup-simplify]: Simplify (* (+ (pow (sqrt (- (log N))) 2) (log N)) (+ (pow (sqrt (- (log N))) 2) (log N))) into (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 4.557 * [backup-simplify]: Simplify (log (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)) into (log (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)) 4.557 * [backup-simplify]: Simplify (* 1/3 (log (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) into (* 1/3 (log (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) 4.557 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)))) into (pow (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 1/3) 4.557 * [taylor]: Taking taylor expansion of (pow (pow (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 2) 1/3) in N 4.557 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 2)))) in N 4.557 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 2))) in N 4.557 * [taylor]: Taking taylor expansion of 1/3 in N 4.557 * [backup-simplify]: Simplify 1/3 into 1/3 4.557 * [taylor]: Taking taylor expansion of (log (pow (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 2)) in N 4.557 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 2) in N 4.557 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in N 4.557 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) (- (log (/ 1 N)))) 4.557 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) in N 4.557 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 4.557 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 4.557 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 4.557 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 4.557 * [taylor]: Taking taylor expansion of 1 in N 4.557 * [backup-simplify]: Simplify 1 into 1 4.557 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.557 * [taylor]: Taking taylor expansion of N in N 4.557 * [backup-simplify]: Simplify 0 into 0 4.557 * [backup-simplify]: Simplify 1 into 1 4.557 * [backup-simplify]: Simplify (/ 1 1) into 1 4.558 * [backup-simplify]: Simplify (+ 0 1) into 1 4.558 * [backup-simplify]: Simplify (log 1) into 0 4.558 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.559 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.559 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 4.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.560 * [backup-simplify]: Simplify (+ 1 0) into 1 4.560 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.560 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.561 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 4.561 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 4.561 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 4.561 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 4.561 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 4.561 * [taylor]: Taking taylor expansion of 1 in N 4.561 * [backup-simplify]: Simplify 1 into 1 4.561 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.561 * [taylor]: Taking taylor expansion of N in N 4.561 * [backup-simplify]: Simplify 0 into 0 4.561 * [backup-simplify]: Simplify 1 into 1 4.561 * [backup-simplify]: Simplify (/ 1 1) into 1 4.561 * [backup-simplify]: Simplify (+ 0 1) into 1 4.562 * [backup-simplify]: Simplify (log 1) into 0 4.562 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.562 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.562 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 4.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.563 * [backup-simplify]: Simplify (+ 1 0) into 1 4.564 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.564 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.564 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 4.564 * [taylor]: Taking taylor expansion of (- (log (/ 1 N))) in N 4.564 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 4.564 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.564 * [taylor]: Taking taylor expansion of N in N 4.564 * [backup-simplify]: Simplify 0 into 0 4.564 * [backup-simplify]: Simplify 1 into 1 4.564 * [backup-simplify]: Simplify (/ 1 1) into 1 4.564 * [backup-simplify]: Simplify (log 1) into 0 4.565 * [backup-simplify]: Simplify (* (sqrt (- (log N))) (sqrt (- (log N)))) into (pow (sqrt (- (log N))) 2) 4.565 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 4.565 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 4.565 * [backup-simplify]: Simplify (+ (pow (sqrt (- (log N))) 2) (log N)) into (+ (pow (sqrt (- (log N))) 2) (log N)) 4.565 * [backup-simplify]: Simplify (* (+ (pow (sqrt (- (log N))) 2) (log N)) (+ (pow (sqrt (- (log N))) 2) (log N))) into (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 4.565 * [backup-simplify]: Simplify (log (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)) into (log (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)) 4.565 * [backup-simplify]: Simplify (* 1/3 (log (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) into (* 1/3 (log (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) 4.566 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)))) into (pow (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 1/3) 4.566 * [backup-simplify]: Simplify (pow (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 1/3) into (pow (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 1/3) 4.566 * [backup-simplify]: Simplify (+ (* (sqrt (- (log N))) (/ 1/2 (sqrt (- (log N))))) (* (/ 1/2 (sqrt (- (log N)))) (sqrt (- (log N))))) into 1 4.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.567 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.567 * [backup-simplify]: Simplify (- 0) into 0 4.568 * [backup-simplify]: Simplify (+ 1 0) into 1 4.568 * [backup-simplify]: Simplify (+ (* (+ (pow (sqrt (- (log N))) 2) (log N)) 1) (* 1 (+ (pow (sqrt (- (log N))) 2) (log N)))) into (+ (* 2 (pow (sqrt (- (log N))) 2)) (* 2 (log N))) 4.568 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ (* 2 (pow (sqrt (- (log N))) 2)) (* 2 (log N)))) 1)) (pow (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 1)))) 1) into (+ (* 2 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (* 2 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)))) 4.569 * [backup-simplify]: Simplify (+ (* 1/3 (+ (* 2 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (* 2 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))))) (* 0 (log (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)))) into (+ (* 2/3 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (* 2/3 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)))) 4.570 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)))) (+ (* (/ (pow (+ (* 2/3 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (* 2/3 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)))) 1) 1)))) into (* (+ (* 2/3 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (* 2/3 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)))) (pow (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 1/3)) 4.570 * [backup-simplify]: Simplify (* (+ (* 2/3 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (* 2/3 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)))) (pow (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 1/3)) into (* (+ (* 2/3 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (* 2/3 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)))) (pow (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 1/3)) 4.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.571 * [backup-simplify]: Simplify (+ 0 0) into 0 4.573 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.573 * [backup-simplify]: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 4.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.575 * [backup-simplify]: Simplify (+ 0 0) into 0 4.576 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 4.577 * [backup-simplify]: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 4.577 * [backup-simplify]: Simplify (+ (* (sqrt (- (log N))) (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N)))))) (+ (* (/ 1/2 (sqrt (- (log N)))) (/ 1/2 (sqrt (- (log N))))) (* (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) (sqrt (- (log N)))))) into (- 1/2) 4.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.579 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.579 * [backup-simplify]: Simplify (- 0) into 0 4.580 * [backup-simplify]: Simplify (+ (- 1/2) 0) into -1/2 4.580 * [backup-simplify]: Simplify (+ (* (+ (pow (sqrt (- (log N))) 2) (log N)) -1/2) (+ (* 1 1) (* -1/2 (+ (pow (sqrt (- (log N))) 2) (log N))))) into (- 1 (+ (pow (sqrt (- (log N))) 2) (log N))) 4.581 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ (* 2 (pow (sqrt (- (log N))) 2)) (* 2 (log N)))) 2)) (pow (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (- 1 (+ (pow (sqrt (- (log N))) 2) (log N)))) 1)) (pow (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 1)))) 2) into (* 1/2 (- (* 2 (/ 1 (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 2 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 8 (/ (* (log N) (pow (sqrt (- (log N))) 2)) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))) (+ (* 2 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 4 (/ (pow (sqrt (- (log N))) 4) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))) (* 4 (/ (pow (log N) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))))))))) 4.584 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (* 2 (/ 1 (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 2 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 8 (/ (* (log N) (pow (sqrt (- (log N))) 2)) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))) (+ (* 2 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 4 (/ (pow (sqrt (- (log N))) 4) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))) (* 4 (/ (pow (log N) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4)))))))))) (+ (* 0 (+ (* 2 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (* 2 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))))) (* 0 (log (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))))) into (- (* 1/3 (/ 1 (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 1/3 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 4/3 (/ (* (log N) (pow (sqrt (- (log N))) 2)) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))) (+ (* 2/3 (/ (pow (log N) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))) (+ (* 1/3 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (* 2/3 (/ (pow (sqrt (- (log N))) 4) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4)))))))) 4.587 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)))) (+ (* (/ (pow (+ (* 2/3 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (* 2/3 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 1/3 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 4/3 (/ (* (log N) (pow (sqrt (- (log N))) 2)) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))) (+ (* 2/3 (/ (pow (log N) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))) (+ (* 1/3 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (* 2/3 (/ (pow (sqrt (- (log N))) 4) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4)))))))) 1) 1)))) into (* (pow (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 1/3) (- (* 1/3 (/ 1 (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 1/3 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 8/9 (/ (* (log N) (pow (sqrt (- (log N))) 2)) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))) (+ (* 1/3 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 4/9 (/ (pow (sqrt (- (log N))) 4) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))) (* 4/9 (/ (pow (log N) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))))))))) 4.589 * [backup-simplify]: Simplify (* (pow (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 1/3) (- (* 1/3 (/ 1 (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 1/3 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 8/9 (/ (* (log N) (pow (sqrt (- (log N))) 2)) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))) (+ (* 1/3 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 4/9 (/ (pow (sqrt (- (log N))) 4) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))) (* 4/9 (/ (pow (log N) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))))))))) into (* (pow (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 1/3) (- (* 1/3 (/ 1 (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 1/3 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 4/9 (/ (pow (sqrt (- (log N))) 4) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))) (+ (* 8/9 (/ (* (log N) (pow (sqrt (- (log N))) 2)) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))) (+ (* 1/3 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (* 4/9 (/ (pow (log N) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))))))))) 4.592 * [backup-simplify]: Simplify (+ (* (* (pow (pow (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))) 2) 1/3) (- (* 1/3 (/ 1 (pow (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))) 2))) (+ (* 1/3 (/ (log (/ 1 N)) (pow (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))) 2))) (+ (* 4/9 (/ (pow (sqrt (- (log (/ 1 N)))) 4) (pow (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))) 4))) (+ (* 8/9 (/ (* (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) (pow (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))) 4))) (+ (* 1/3 (/ (pow (sqrt (- (log (/ 1 N)))) 2) (pow (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))) 2))) (* 4/9 (/ (pow (log (/ 1 N)) 2) (pow (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))) 4))))))))) (pow (/ 1 N) 2)) (+ (* (* (+ (* 2/3 (/ (log (/ 1 N)) (pow (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))) 2))) (* 2/3 (/ (pow (sqrt (- (log (/ 1 N)))) 2) (pow (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))) 2)))) (pow (pow (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))) 2) 1/3)) (/ 1 N)) (pow (pow (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))) 2) 1/3))) into (- (+ (* 2/3 (* (/ (log (/ 1 N)) N) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 4)) 1/3))) (+ (pow (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 2) 1/3) (+ (* 2/3 (* (/ (pow (sqrt (- (log (/ 1 N)))) 2) N) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 4)) 1/3))) (* 1/3 (* (/ 1 (pow N 2)) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 4)) 1/3)))))) (+ (* 4/9 (* (/ (pow (log (/ 1 N)) 2) (pow N 2)) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 10)) 1/3))) (+ (* 4/9 (* (/ (pow (sqrt (- (log (/ 1 N)))) 4) (pow N 2)) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 10)) 1/3))) (+ (* 1/3 (* (/ (pow (sqrt (- (log (/ 1 N)))) 2) (pow N 2)) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 4)) 1/3))) (+ (* 1/3 (* (/ (log (/ 1 N)) (pow N 2)) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 4)) 1/3))) (* 8/9 (* (/ (* (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) (pow N 2)) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 10)) 1/3)))))))) 4.593 * [backup-simplify]: Simplify (* (cbrt (fma (sqrt (log1p (/ 1 (- N)))) (sqrt (log1p (/ 1 (- N)))) (- (log (/ 1 (- N)))))) (cbrt (fma (sqrt (log1p (/ 1 (- N)))) (sqrt (log1p (/ 1 (- N)))) (- (log (/ 1 (- N))))))) into (pow (pow (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 2) 1/3) 4.593 * [approximate]: Taking taylor expansion of (pow (pow (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 2) 1/3) in (N) around 0 4.593 * [taylor]: Taking taylor expansion of (pow (pow (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 2) 1/3) in N 4.593 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 2)))) in N 4.593 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 2))) in N 4.593 * [taylor]: Taking taylor expansion of 1/3 in N 4.593 * [backup-simplify]: Simplify 1/3 into 1/3 4.593 * [taylor]: Taking taylor expansion of (log (pow (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 2)) in N 4.593 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 2) in N 4.593 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in N 4.593 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) (- (log (/ -1 N)))) 4.593 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) in N 4.593 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 4.593 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 4.593 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 4.593 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 4.593 * [taylor]: Taking taylor expansion of 1 in N 4.593 * [backup-simplify]: Simplify 1 into 1 4.593 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.593 * [taylor]: Taking taylor expansion of -1 in N 4.593 * [backup-simplify]: Simplify -1 into -1 4.593 * [taylor]: Taking taylor expansion of N in N 4.593 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify 1 into 1 4.594 * [backup-simplify]: Simplify (/ -1 1) into -1 4.594 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.594 * [backup-simplify]: Simplify (log -1) into (log -1) 4.595 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.595 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.596 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 4.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.596 * [backup-simplify]: Simplify (+ 1 0) into 1 4.597 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.598 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.598 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 4.598 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 4.598 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 4.598 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 4.598 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 4.598 * [taylor]: Taking taylor expansion of 1 in N 4.598 * [backup-simplify]: Simplify 1 into 1 4.598 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.598 * [taylor]: Taking taylor expansion of -1 in N 4.598 * [backup-simplify]: Simplify -1 into -1 4.598 * [taylor]: Taking taylor expansion of N in N 4.598 * [backup-simplify]: Simplify 0 into 0 4.598 * [backup-simplify]: Simplify 1 into 1 4.598 * [backup-simplify]: Simplify (/ -1 1) into -1 4.599 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.599 * [backup-simplify]: Simplify (log -1) into (log -1) 4.600 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.600 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.600 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 4.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.603 * [backup-simplify]: Simplify (+ 1 0) into 1 4.604 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.604 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.604 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 4.604 * [taylor]: Taking taylor expansion of (- (log (/ -1 N))) in N 4.604 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 4.605 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.605 * [taylor]: Taking taylor expansion of -1 in N 4.605 * [backup-simplify]: Simplify -1 into -1 4.605 * [taylor]: Taking taylor expansion of N in N 4.605 * [backup-simplify]: Simplify 0 into 0 4.605 * [backup-simplify]: Simplify 1 into 1 4.605 * [backup-simplify]: Simplify (/ -1 1) into -1 4.605 * [backup-simplify]: Simplify (log -1) into (log -1) 4.606 * [backup-simplify]: Simplify (* (sqrt (- (log -1) (log N))) (sqrt (- (log -1) (log N)))) into (- (log -1) (log N)) 4.606 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.606 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 4.607 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 4.608 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (sqrt (- (log -1) (log N))))) into (- 1) 4.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.609 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 4.610 * [backup-simplify]: Simplify (- 0) into 0 4.610 * [backup-simplify]: Simplify (+ (- 1) 0) into -1 4.610 * [backup-simplify]: Simplify (* -1 -1) into 1 4.610 * [backup-simplify]: Simplify (log 1) into 0 4.611 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 4.611 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 4.611 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 4.611 * [taylor]: Taking taylor expansion of (pow (pow (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 2) 1/3) in N 4.611 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 2)))) in N 4.611 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 2))) in N 4.611 * [taylor]: Taking taylor expansion of 1/3 in N 4.611 * [backup-simplify]: Simplify 1/3 into 1/3 4.611 * [taylor]: Taking taylor expansion of (log (pow (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 2)) in N 4.611 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 2) in N 4.611 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in N 4.611 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) (- (log (/ -1 N)))) 4.611 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) in N 4.611 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 4.611 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 4.611 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 4.611 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 4.611 * [taylor]: Taking taylor expansion of 1 in N 4.611 * [backup-simplify]: Simplify 1 into 1 4.612 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.612 * [taylor]: Taking taylor expansion of -1 in N 4.612 * [backup-simplify]: Simplify -1 into -1 4.612 * [taylor]: Taking taylor expansion of N in N 4.612 * [backup-simplify]: Simplify 0 into 0 4.612 * [backup-simplify]: Simplify 1 into 1 4.612 * [backup-simplify]: Simplify (/ -1 1) into -1 4.612 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.613 * [backup-simplify]: Simplify (log -1) into (log -1) 4.614 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.614 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.615 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 4.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.616 * [backup-simplify]: Simplify (+ 1 0) into 1 4.617 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.618 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.619 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 4.619 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 4.619 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 4.619 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 4.619 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 4.619 * [taylor]: Taking taylor expansion of 1 in N 4.619 * [backup-simplify]: Simplify 1 into 1 4.619 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.619 * [taylor]: Taking taylor expansion of -1 in N 4.619 * [backup-simplify]: Simplify -1 into -1 4.619 * [taylor]: Taking taylor expansion of N in N 4.619 * [backup-simplify]: Simplify 0 into 0 4.619 * [backup-simplify]: Simplify 1 into 1 4.619 * [backup-simplify]: Simplify (/ -1 1) into -1 4.620 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.620 * [backup-simplify]: Simplify (log -1) into (log -1) 4.621 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.622 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.622 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 4.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.624 * [backup-simplify]: Simplify (+ 1 0) into 1 4.625 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 4.626 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.626 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 4.626 * [taylor]: Taking taylor expansion of (- (log (/ -1 N))) in N 4.626 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 4.626 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.626 * [taylor]: Taking taylor expansion of -1 in N 4.626 * [backup-simplify]: Simplify -1 into -1 4.627 * [taylor]: Taking taylor expansion of N in N 4.627 * [backup-simplify]: Simplify 0 into 0 4.627 * [backup-simplify]: Simplify 1 into 1 4.627 * [backup-simplify]: Simplify (/ -1 1) into -1 4.627 * [backup-simplify]: Simplify (log -1) into (log -1) 4.628 * [backup-simplify]: Simplify (* (sqrt (- (log -1) (log N))) (sqrt (- (log -1) (log N)))) into (- (log -1) (log N)) 4.629 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 4.629 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 4.630 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 4.632 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (sqrt (- (log -1) (log N))))) into (- 1) 4.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.634 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 4.635 * [backup-simplify]: Simplify (- 0) into 0 4.635 * [backup-simplify]: Simplify (+ (- 1) 0) into -1 4.636 * [backup-simplify]: Simplify (* -1 -1) into 1 4.636 * [backup-simplify]: Simplify (log 1) into 0 4.636 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 4.637 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 4.637 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 4.637 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 4.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.638 * [backup-simplify]: Simplify (+ 0 0) into 0 4.641 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.642 * [backup-simplify]: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) 4.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.644 * [backup-simplify]: Simplify (+ 0 0) into 0 4.647 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 4.648 * [backup-simplify]: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) 4.652 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) (sqrt (- (log -1) (log N)))))) into (- 1/2) 4.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.657 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 4.657 * [backup-simplify]: Simplify (- 0) into 0 4.658 * [backup-simplify]: Simplify (+ (- 1/2) 0) into -1/2 4.659 * [backup-simplify]: Simplify (+ (* -1 -1/2) (* -1/2 -1)) into 1 4.660 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 4.661 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 4.661 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (* 2 (log N)))) into 1/3 4.662 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (pow N 2) 1/3)) 4.662 * [backup-simplify]: Simplify (* 1/3 (pow (pow N 2) 1/3)) into (* 1/3 (pow (pow N 2) 1/3)) 4.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.664 * [backup-simplify]: Simplify (+ 0 0) into 0 4.669 * [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 4.672 * [backup-simplify]: Simplify (/ (- -1/3 (+ (* 2 (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))))))) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) 4.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.673 * [backup-simplify]: Simplify (+ 0 0) into 0 4.678 * [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 4.681 * [backup-simplify]: Simplify (/ (- -1/3 (+ (* 2 (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))))))) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) 4.687 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) (sqrt (- (log -1) (log N))))))) into (- 1/3) 4.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.694 * [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 4.694 * [backup-simplify]: Simplify (- 0) into 0 4.695 * [backup-simplify]: Simplify (+ (- 1/3) 0) into -1/3 4.696 * [backup-simplify]: Simplify (+ (* -1 -1/3) (+ (* -1/2 -1/2) (* -1/3 -1))) into 11/12 4.699 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 11/12) 1)) (pow 1 1)))) 2) into 5/12 4.699 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 4.700 * [backup-simplify]: Simplify (+ (* 1/3 5/12) (+ (* 0 1) (* 0 (* 2 (log N))))) into 5/36 4.701 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 5/36 1) 1)))) into (* 7/36 (pow (pow N 2) 1/3)) 4.702 * [backup-simplify]: Simplify (* 7/36 (pow (pow N 2) 1/3)) into (* 7/36 (pow (pow N 2) 1/3)) 4.702 * [backup-simplify]: Simplify (+ (* (* 7/36 (pow (pow (/ 1 (- N)) 2) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* 1/3 (pow (pow (/ 1 (- N)) 2) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) 2/3))) into (- (+ (* 7/36 (pow (/ 1 (pow N 8)) 1/3)) (pow (/ -1 N) 2/3)) (* 1/3 (pow (/ 1 (pow N 5)) 1/3))) 4.702 * * * [progress]: simplifying candidates 4.702 * * * * [progress]: [ 1 / 88 ] simplifiying candidate # 4.702 * * * * [progress]: [ 2 / 88 ] simplifiying candidate # 4.703 * * * * [progress]: [ 3 / 88 ] simplifiying candidate # 4.703 * * * * [progress]: [ 4 / 88 ] simplifiying candidate # 4.703 * * * * [progress]: [ 5 / 88 ] simplifiying candidate # 4.703 * * * * [progress]: [ 6 / 88 ] simplifiying candidate # 4.703 * * * * [progress]: [ 7 / 88 ] simplifiying candidate # 4.703 * * * * [progress]: [ 8 / 88 ] simplifiying candidate # 4.703 * * * * [progress]: [ 9 / 88 ] simplifiying candidate # 4.703 * * * * [progress]: [ 10 / 88 ] simplifiying candidate # 4.703 * * * * [progress]: [ 11 / 88 ] simplifiying candidate #real (real->posit16 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))))> 4.703 * * * * [progress]: [ 12 / 88 ] simplifiying candidate # 4.703 * * * * [progress]: [ 13 / 88 ] simplifiying candidate # 4.703 * * * * [progress]: [ 14 / 88 ] simplifiying candidate # 4.703 * * * * [progress]: [ 15 / 88 ] simplifiying candidate # 4.703 * * * * [progress]: [ 16 / 88 ] simplifiying candidate # 4.703 * * * * [progress]: [ 17 / 88 ] simplifiying candidate # 4.704 * * * * [progress]: [ 18 / 88 ] simplifiying candidate # 4.704 * * * * [progress]: [ 19 / 88 ] simplifiying candidate # 4.704 * * * * [progress]: [ 20 / 88 ] simplifiying candidate # 4.704 * * * * [progress]: [ 21 / 88 ] simplifiying candidate # 4.704 * * * * [progress]: [ 22 / 88 ] simplifiying candidate #real (real->posit16 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))> 4.704 * * * * [progress]: [ 23 / 88 ] simplifiying candidate # 4.704 * * * * [progress]: [ 24 / 88 ] simplifiying candidate # 4.704 * * * * [progress]: [ 25 / 88 ] simplifiying candidate # 4.704 * * * * [progress]: [ 26 / 88 ] simplifiying candidate # 4.704 * * * * [progress]: [ 27 / 88 ] simplifiying candidate # 4.704 * * * * [progress]: [ 28 / 88 ] simplifiying candidate # 4.704 * * * * [progress]: [ 29 / 88 ] simplifiying candidate # 4.704 * * * * [progress]: [ 30 / 88 ] simplifiying candidate # 4.704 * * * * [progress]: [ 31 / 88 ] simplifiying candidate # 4.704 * * * * [progress]: [ 32 / 88 ] simplifiying candidate # 4.705 * * * * [progress]: [ 33 / 88 ] simplifiying candidate #real (real->posit16 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))> 4.705 * * * * [progress]: [ 34 / 88 ] simplifiying candidate # 4.705 * * * * [progress]: [ 35 / 88 ] simplifiying candidate # 4.705 * * * * [progress]: [ 36 / 88 ] simplifiying candidate # 4.705 * * * * [progress]: [ 37 / 88 ] simplifiying candidate # 4.705 * * * * [progress]: [ 38 / 88 ] simplifiying candidate # 4.705 * * * * [progress]: [ 39 / 88 ] simplifiying candidate # 4.705 * * * * [progress]: [ 40 / 88 ] simplifiying candidate # 4.705 * * * * [progress]: [ 41 / 88 ] simplifiying candidate # 4.705 * * * * [progress]: [ 42 / 88 ] simplifiying candidate # 4.705 * * * * [progress]: [ 43 / 88 ] simplifiying candidate # 4.705 * * * * [progress]: [ 44 / 88 ] simplifiying candidate # 4.705 * * * * [progress]: [ 45 / 88 ] simplifiying candidate # 4.705 * * * * [progress]: [ 46 / 88 ] simplifiying candidate # 4.705 * * * * [progress]: [ 47 / 88 ] simplifiying candidate # 4.705 * * * * [progress]: [ 48 / 88 ] simplifiying candidate # 4.706 * * * * [progress]: [ 49 / 88 ] simplifiying candidate # 4.706 * * * * [progress]: [ 50 / 88 ] simplifiying candidate # 4.706 * * * * [progress]: [ 51 / 88 ] simplifiying candidate # 4.706 * * * * [progress]: [ 52 / 88 ] simplifiying candidate # 4.706 * * * * [progress]: [ 53 / 88 ] simplifiying candidate # 4.706 * * * * [progress]: [ 54 / 88 ] simplifiying candidate # 4.706 * * * * [progress]: [ 55 / 88 ] simplifiying candidate # 4.706 * * * * [progress]: [ 56 / 88 ] simplifiying candidate # 4.706 * * * * [progress]: [ 57 / 88 ] simplifiying candidate # 4.706 * * * * [progress]: [ 58 / 88 ] simplifiying candidate # 4.706 * * * * [progress]: [ 59 / 88 ] simplifiying candidate # 4.706 * * * * [progress]: [ 60 / 88 ] simplifiying candidate # 4.706 * * * * [progress]: [ 61 / 88 ] simplifiying candidate # 4.706 * * * * [progress]: [ 62 / 88 ] simplifiying candidate # 4.707 * * * * [progress]: [ 63 / 88 ] simplifiying candidate # 4.707 * * * * [progress]: [ 64 / 88 ] simplifiying candidate # 4.707 * * * * [progress]: [ 65 / 88 ] simplifiying candidate # 4.707 * * * * [progress]: [ 66 / 88 ] simplifiying candidate # 4.707 * * * * [progress]: [ 67 / 88 ] simplifiying candidate # 4.707 * * * * [progress]: [ 68 / 88 ] simplifiying candidate # 4.707 * * * * [progress]: [ 69 / 88 ] simplifiying candidate # 4.707 * * * * [progress]: [ 70 / 88 ] simplifiying candidate # 4.707 * * * * [progress]: [ 71 / 88 ] simplifiying candidate # 4.707 * * * * [progress]: [ 72 / 88 ] simplifiying candidate # 4.707 * * * * [progress]: [ 73 / 88 ] simplifiying candidate # 4.707 * * * * [progress]: [ 74 / 88 ] simplifiying candidate # 4.707 * * * * [progress]: [ 75 / 88 ] simplifiying candidate #real (real->posit16 (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))> 4.707 * * * * [progress]: [ 76 / 88 ] simplifiying candidate # 4.707 * * * * [progress]: [ 77 / 88 ] simplifiying candidate # 4.708 * * * * [progress]: [ 78 / 88 ] simplifiying candidate # 4.708 * * * * [progress]: [ 79 / 88 ] simplifiying candidate # 4.708 * * * * [progress]: [ 80 / 88 ] simplifiying candidate # 4.708 * * * * [progress]: [ 81 / 88 ] simplifiying candidate # 4.708 * * * * [progress]: [ 82 / 88 ] simplifiying candidate # 4.708 * * * * [progress]: [ 83 / 88 ] simplifiying candidate # 4.708 * * * * [progress]: [ 84 / 88 ] simplifiying candidate # 4.708 * * * * [progress]: [ 85 / 88 ] simplifiying candidate # 4.708 * * * * [progress]: [ 86 / 88 ] simplifiying candidate # 4.708 * * * * [progress]: [ 87 / 88 ] simplifiying candidate # 4.708 * * * * [progress]: [ 88 / 88 ] simplifiying candidate # 4.710 * [simplify]: Simplifying: (expm1 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (log1p (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (* (sqrt (log1p N)) (sqrt (log1p N))) (log (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (exp (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (* (* (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (real->posit16 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (expm1 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (log1p (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (* (sqrt (log1p N)) (sqrt (log1p N))) (log (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (exp (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (* (* (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (real->posit16 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (expm1 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (log1p (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (* (sqrt (log1p N)) (sqrt (log1p N))) (log (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (exp (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (* (* (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (real->posit16 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (expm1 (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (log1p (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (+ 1/3 1/3) (+ 1 1) (* (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (+ 1 1) (+ (log (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (log (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (log (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (exp (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (* (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (* (cbrt (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (cbrt (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))) (cbrt (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (* (* (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (sqrt (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (sqrt (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (* (cbrt (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (cbrt (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))) (* (cbrt (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (cbrt (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (* (cbrt (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (cbrt (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (* (cbrt (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (cbrt (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (* (* (cbrt (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (cbrt (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (* (cbrt (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (cbrt (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))) (* (cbrt (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (cbrt (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (* (sqrt (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (sqrt (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (* (sqrt (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (sqrt (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (* 1 1) (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (* (cbrt (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (cbrt (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (* (cbrt (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (cbrt (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (* (cbrt (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (sqrt (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (* (cbrt (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (sqrt (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (* (sqrt (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (cbrt (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (* (sqrt (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (cbrt (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (* (sqrt (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (sqrt (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (* (sqrt (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (sqrt (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (* 2 1/3) (* 2 1) (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))) (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt 1)) (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (* (cbrt (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (cbrt (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))) (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (sqrt (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) 1) (* (cbrt (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (* (cbrt (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (* (cbrt (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (* (sqrt (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (real->posit16 (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (- (+ (* +nan.0 (pow N 2)) (- (log N) (* +nan.0 (pow N 3))))) (- (+ (log (/ 1 N)) (+ (/ 1 N) (pow (sqrt (- (log (/ 1 N)))) 2))) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* +nan.0 (pow N 2)) (- (log N) (* +nan.0 (pow N 3))))) (- (+ (log (/ 1 N)) (+ (/ 1 N) (pow (sqrt (- (log (/ 1 N)))) 2))) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* +nan.0 (pow N 2)) (- (log N) (* +nan.0 (pow N 3))))) (- (+ (log (/ 1 N)) (+ (/ 1 N) (pow (sqrt (- (log (/ 1 N)))) 2))) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (pow (pow (log N) 2) 1/3) (+ (* +nan.0 (* (pow (/ 1 (log N)) 1/3) (pow N 3))) (- (* +nan.0 (* (pow (/ 1 (log N)) 1/3) (pow N 2)))))) (- (+ (* 2/3 (* (/ (log (/ 1 N)) N) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 4)) 1/3))) (+ (pow (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 2) 1/3) (+ (* 2/3 (* (/ (pow (sqrt (- (log (/ 1 N)))) 2) N) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 4)) 1/3))) (* 1/3 (* (/ 1 (pow N 2)) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 4)) 1/3)))))) (+ (* 4/9 (* (/ (pow (log (/ 1 N)) 2) (pow N 2)) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 10)) 1/3))) (+ (* 4/9 (* (/ (pow (sqrt (- (log (/ 1 N)))) 4) (pow N 2)) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 10)) 1/3))) (+ (* 1/3 (* (/ (pow (sqrt (- (log (/ 1 N)))) 2) (pow N 2)) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 4)) 1/3))) (+ (* 1/3 (* (/ (log (/ 1 N)) (pow N 2)) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 4)) 1/3))) (* 8/9 (* (/ (* (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) (pow N 2)) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 10)) 1/3)))))))) (- (+ (* 7/36 (pow (/ 1 (pow N 8)) 1/3)) (pow (/ -1 N) 2/3)) (* 1/3 (pow (/ 1 (pow N 5)) 1/3))) 4.714 * * [simplify]: iteration 1: (156 enodes) 4.770 * * [simplify]: iteration 2: (395 enodes) 5.029 * * [simplify]: iteration 3: (1334 enodes) 7.820 * * [simplify]: Extracting #0: cost 36 inf + 0 7.821 * * [simplify]: Extracting #1: cost 259 inf + 3 7.824 * * [simplify]: Extracting #2: cost 689 inf + 3281 7.833 * * [simplify]: Extracting #3: cost 787 inf + 47961 7.873 * * [simplify]: Extracting #4: cost 495 inf + 138250 7.963 * * [simplify]: Extracting #5: cost 141 inf + 313770 8.095 * * [simplify]: Extracting #6: cost 25 inf + 384887 8.215 * * [simplify]: Extracting #7: cost 3 inf + 393623 8.305 * * [simplify]: Extracting #8: cost 0 inf + 394981 8.430 * * [simplify]: Extracting #9: cost 0 inf + 394966 8.564 * [simplify]: Simplified to: (expm1 (- (log1p N) (log N))) (log1p (- (log1p N) (log N))) (log1p N) (log (- (log1p N) (log N))) (* (exp (log1p N)) (/ 1 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))) (real->posit16 (- (log1p N) (log N))) (expm1 (- (log1p N) (log N))) (log1p (- (log1p N) (log N))) (log1p N) (log (- (log1p N) (log N))) (* (exp (log1p N)) (/ 1 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))) (real->posit16 (- (log1p N) (log N))) (expm1 (- (log1p N) (log N))) (log1p (- (log1p N) (log N))) (log1p N) (log (- (log1p N) (log N))) (* (exp (log1p N)) (/ 1 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))) (real->posit16 (- (log1p N) (log N))) (expm1 (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N))))) (log1p (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N))))) 2/3 2 (* (- (log1p N) (log N)) (- (log1p N) (log N))) (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) 2 (log (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N))))) (log (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N))))) (exp (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N))))) (* (- (log1p N) (log N)) (- (log1p N) (log N))) (* (cbrt (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N))))) (cbrt (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))))) (cbrt (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N))))) (* (- (log1p N) (log N)) (- (log1p N) (log N))) (fabs (cbrt (- (log1p N) (log N)))) (fabs (cbrt (- (log1p N) (log N)))) (* (cbrt (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N))))) (cbrt (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))))) (* (cbrt (cbrt (- (log1p N) (log N)))) (cbrt (cbrt (- (log1p N) (log N))))) (* (cbrt (sqrt (- (log1p N) (log N)))) (cbrt (sqrt (- (log1p N) (log N))))) (* (cbrt (sqrt (- (log1p N) (log N)))) (cbrt (sqrt (- (log1p N) (log N))))) 1 (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) (* (cbrt (- (log1p N) (log N))) (cbrt (cbrt (- (log1p N) (log N))))) (* (cbrt (cbrt (- (log1p N) (log N)))) (cbrt (cbrt (- (log1p N) (log N))))) (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N))) 1 (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) (* (cbrt (sqrt (- (log1p N) (log N)))) (cbrt (sqrt (- (log1p N) (log N))))) (* (cbrt (sqrt (- (log1p N) (log N)))) (cbrt (sqrt (- (log1p N) (log N))))) (* (sqrt (cbrt (- (log1p N) (log N)))) (cbrt (sqrt (- (log1p N) (log N))))) (* (sqrt (cbrt (- (log1p N) (log N)))) (cbrt (sqrt (- (log1p N) (log N))))) (* (sqrt (cbrt (- (log1p N) (log N)))) (cbrt (sqrt (- (log1p N) (log N))))) (* (sqrt (cbrt (- (log1p N) (log N)))) (cbrt (sqrt (- (log1p N) (log N))))) (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N))) 2/3 2 (* (cbrt (- (log1p N) (log N))) (cbrt (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))))) (* (cbrt (sqrt (- (log1p N) (log N)))) (cbrt (- (log1p N) (log N)))) (cbrt (- (log1p N) (log N))) (* (cbrt (- (log1p N) (log N))) (* (cbrt (cbrt (- (log1p N) (log N)))) (cbrt (cbrt (- (log1p N) (log N)))))) (* (sqrt (cbrt (- (log1p N) (log N)))) (cbrt (- (log1p N) (log N)))) (cbrt (- (log1p N) (log N))) (* (cbrt (- (log1p N) (log N))) (cbrt (cbrt (- (log1p N) (log N))))) (* (cbrt (sqrt (- (log1p N) (log N)))) (cbrt (- (log1p N) (log N)))) (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) (* (cbrt (- (log1p N) (log N))) (cbrt (cbrt (- (log1p N) (log N))))) (* (sqrt (cbrt (- (log1p N) (log N)))) (cbrt (- (log1p N) (log N)))) (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) (real->posit16 (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N))))) (- (- (log N) (* +nan.0 (- (* N (* N N)) (* N N))))) (+ (+ 0 (/ 1 N)) (/ -1/2 (* N N))) (+ (+ (/ 1 N) (/ 1/3 (* N (* N N)))) (/ -1/2 (* N N))) (- (- (log N) (* +nan.0 (- (* N (* N N)) (* N N))))) (+ (+ 0 (/ 1 N)) (/ -1/2 (* N N))) (+ (+ (/ 1 N) (/ 1/3 (* N (* N N)))) (/ -1/2 (* N N))) (- (- (log N) (* +nan.0 (- (* N (* N N)) (* N N))))) (+ (+ 0 (/ 1 N)) (/ -1/2 (* N N))) (+ (+ (/ 1 N) (/ 1/3 (* N (* N N)))) (/ -1/2 (* N N))) (- (cbrt (* (log N) (log N))) (* +nan.0 (* (cbrt (/ 1 (log N))) (- (* N (* N N)) (* N N))))) (+ (+ (- (+ (* 4/9 (* (* (log N) (/ (- (log N)) (* N N))) (cbrt (/ 1 0)))) (* 4/9 (* (* (log N) (/ (- (log N)) (* N N))) (cbrt (/ 1 0))))) (fma 8/9 (* (* (log N) (/ (- (log N)) (* N N))) (cbrt (/ 1 0))) (* (* (cbrt (/ 1 0)) 1/3) (+ (/ (- (log N)) (* N N)) (/ (log N) (* N N)))))) (fma (* (cbrt (/ 1 0)) 2/3) (/ (- (log N)) N) (fma (* (cbrt (/ 1 0)) 2/3) (/ (log N) N) 0))) (/ (* (cbrt (/ 1 0)) 1/3) (* N N))) (fma (cbrt (/ 1 (pow N 5))) -1/3 (fma (cbrt (/ 1 (* (* (* N N) (* N N)) (* (* N N) (* N N))))) 7/36 (* (cbrt (/ -1 N)) (cbrt (/ -1 N))))) 8.577 * * * [progress]: adding candidates to table 9.469 * * [progress]: iteration 4 / 4 9.470 * * * [progress]: picking best candidate 9.482 * * * * [pick]: Picked # 9.482 * * * [progress]: localizing error 9.549 * * * [progress]: generating rewritten candidates 9.549 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 9.550 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2 1) 9.550 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1) 9.551 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 9.558 * * * [progress]: generating series expansions 9.558 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 9.558 * [backup-simplify]: Simplify (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) into (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 9.558 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in (N) around 0 9.558 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in N 9.558 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p N)) (sqrt (log1p N))) (- (log N))) 9.558 * [taylor]: Taking taylor expansion of (* (sqrt (log1p N)) (sqrt (log1p N))) in N 9.558 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 9.559 * [taylor]: Taking taylor expansion of (log1p N) in N 9.559 * [taylor]: Rewrote expression to (log (+ 1 N)) 9.559 * [taylor]: Taking taylor expansion of (+ 1 N) in N 9.559 * [taylor]: Taking taylor expansion of 1 in N 9.559 * [backup-simplify]: Simplify 1 into 1 9.559 * [taylor]: Taking taylor expansion of N in N 9.559 * [backup-simplify]: Simplify 0 into 0 9.559 * [backup-simplify]: Simplify 1 into 1 9.559 * [backup-simplify]: Simplify (+ 1 0) into 1 9.560 * [backup-simplify]: Simplify (log 1) into 0 9.560 * [backup-simplify]: Simplify (+ 0 1) into 1 9.561 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.562 * [backup-simplify]: Simplify (sqrt 0) into 0 9.563 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.563 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 9.563 * [taylor]: Taking taylor expansion of (log1p N) in N 9.563 * [taylor]: Rewrote expression to (log (+ 1 N)) 9.563 * [taylor]: Taking taylor expansion of (+ 1 N) in N 9.564 * [taylor]: Taking taylor expansion of 1 in N 9.564 * [backup-simplify]: Simplify 1 into 1 9.564 * [taylor]: Taking taylor expansion of N in N 9.564 * [backup-simplify]: Simplify 0 into 0 9.564 * [backup-simplify]: Simplify 1 into 1 9.564 * [backup-simplify]: Simplify (+ 1 0) into 1 9.564 * [backup-simplify]: Simplify (log 1) into 0 9.565 * [backup-simplify]: Simplify (+ 0 1) into 1 9.566 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.566 * [backup-simplify]: Simplify (sqrt 0) into 0 9.568 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.568 * [taylor]: Taking taylor expansion of (- (log N)) in N 9.568 * [taylor]: Taking taylor expansion of (log N) in N 9.568 * [taylor]: Taking taylor expansion of N in N 9.568 * [backup-simplify]: Simplify 0 into 0 9.568 * [backup-simplify]: Simplify 1 into 1 9.568 * [backup-simplify]: Simplify (log 1) into 0 9.568 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in N 9.568 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p N)) (sqrt (log1p N))) (- (log N))) 9.568 * [taylor]: Taking taylor expansion of (* (sqrt (log1p N)) (sqrt (log1p N))) in N 9.568 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 9.568 * [taylor]: Taking taylor expansion of (log1p N) in N 9.568 * [taylor]: Rewrote expression to (log (+ 1 N)) 9.569 * [taylor]: Taking taylor expansion of (+ 1 N) in N 9.569 * [taylor]: Taking taylor expansion of 1 in N 9.569 * [backup-simplify]: Simplify 1 into 1 9.569 * [taylor]: Taking taylor expansion of N in N 9.569 * [backup-simplify]: Simplify 0 into 0 9.569 * [backup-simplify]: Simplify 1 into 1 9.569 * [backup-simplify]: Simplify (+ 1 0) into 1 9.569 * [backup-simplify]: Simplify (log 1) into 0 9.570 * [backup-simplify]: Simplify (+ 0 1) into 1 9.571 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.571 * [backup-simplify]: Simplify (sqrt 0) into 0 9.572 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.572 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 9.572 * [taylor]: Taking taylor expansion of (log1p N) in N 9.572 * [taylor]: Rewrote expression to (log (+ 1 N)) 9.572 * [taylor]: Taking taylor expansion of (+ 1 N) in N 9.572 * [taylor]: Taking taylor expansion of 1 in N 9.572 * [backup-simplify]: Simplify 1 into 1 9.572 * [taylor]: Taking taylor expansion of N in N 9.572 * [backup-simplify]: Simplify 0 into 0 9.572 * [backup-simplify]: Simplify 1 into 1 9.572 * [backup-simplify]: Simplify (+ 1 0) into 1 9.573 * [backup-simplify]: Simplify (log 1) into 0 9.573 * [backup-simplify]: Simplify (+ 0 1) into 1 9.573 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.574 * [backup-simplify]: Simplify (sqrt 0) into 0 9.574 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.575 * [taylor]: Taking taylor expansion of (- (log N)) in N 9.575 * [taylor]: Taking taylor expansion of (log N) in N 9.575 * [taylor]: Taking taylor expansion of N in N 9.575 * [backup-simplify]: Simplify 0 into 0 9.575 * [backup-simplify]: Simplify 1 into 1 9.575 * [backup-simplify]: Simplify (log 1) into 0 9.575 * [backup-simplify]: Simplify (* 0 0) into 0 9.575 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.575 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 9.575 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 9.575 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 9.576 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 9.577 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.577 * [backup-simplify]: Simplify (- 0) into 0 9.577 * [backup-simplify]: Simplify (+ 0 0) into 0 9.577 * [backup-simplify]: Simplify 0 into 0 9.577 * [backup-simplify]: Simplify (+ 0 0) into 0 9.579 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.581 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.581 * [backup-simplify]: Simplify (+ 0 0) into 0 9.583 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.585 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.586 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 9.588 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.588 * [backup-simplify]: Simplify (- 0) into 0 9.589 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 9.589 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.589 * [backup-simplify]: Simplify (+ 0 0) into 0 9.592 * [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 9.594 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.595 * [backup-simplify]: Simplify (+ 0 0) into 0 9.598 * [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 9.607 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.609 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 9.612 * [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 9.613 * [backup-simplify]: Simplify (- 0) into 0 9.613 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 9.613 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.614 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 3)) (+ (* (- +nan.0) (pow N 2)) (- (log N)))) into (- (+ (* +nan.0 (pow N 2)) (- (log N) (* +nan.0 (pow N 3))))) 9.614 * [backup-simplify]: Simplify (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) into (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 9.614 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in (N) around 0 9.614 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in N 9.614 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) (- (log (/ 1 N)))) 9.614 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) in N 9.614 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 9.614 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 9.614 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 9.614 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 9.614 * [taylor]: Taking taylor expansion of 1 in N 9.614 * [backup-simplify]: Simplify 1 into 1 9.614 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.614 * [taylor]: Taking taylor expansion of N in N 9.614 * [backup-simplify]: Simplify 0 into 0 9.614 * [backup-simplify]: Simplify 1 into 1 9.615 * [backup-simplify]: Simplify (/ 1 1) into 1 9.615 * [backup-simplify]: Simplify (+ 0 1) into 1 9.615 * [backup-simplify]: Simplify (log 1) into 0 9.615 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.616 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.616 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 9.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.617 * [backup-simplify]: Simplify (+ 1 0) into 1 9.617 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.617 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.618 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 9.618 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 9.618 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 9.618 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 9.618 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 9.618 * [taylor]: Taking taylor expansion of 1 in N 9.618 * [backup-simplify]: Simplify 1 into 1 9.618 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.618 * [taylor]: Taking taylor expansion of N in N 9.618 * [backup-simplify]: Simplify 0 into 0 9.618 * [backup-simplify]: Simplify 1 into 1 9.618 * [backup-simplify]: Simplify (/ 1 1) into 1 9.618 * [backup-simplify]: Simplify (+ 0 1) into 1 9.619 * [backup-simplify]: Simplify (log 1) into 0 9.619 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.619 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.619 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 9.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.620 * [backup-simplify]: Simplify (+ 1 0) into 1 9.621 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.621 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.621 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 9.621 * [taylor]: Taking taylor expansion of (- (log (/ 1 N))) in N 9.621 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 9.621 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.621 * [taylor]: Taking taylor expansion of N in N 9.621 * [backup-simplify]: Simplify 0 into 0 9.621 * [backup-simplify]: Simplify 1 into 1 9.621 * [backup-simplify]: Simplify (/ 1 1) into 1 9.622 * [backup-simplify]: Simplify (log 1) into 0 9.622 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in N 9.622 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) (- (log (/ 1 N)))) 9.622 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) in N 9.622 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 9.622 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 9.622 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 9.622 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 9.622 * [taylor]: Taking taylor expansion of 1 in N 9.622 * [backup-simplify]: Simplify 1 into 1 9.622 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.622 * [taylor]: Taking taylor expansion of N in N 9.622 * [backup-simplify]: Simplify 0 into 0 9.622 * [backup-simplify]: Simplify 1 into 1 9.622 * [backup-simplify]: Simplify (/ 1 1) into 1 9.622 * [backup-simplify]: Simplify (+ 0 1) into 1 9.623 * [backup-simplify]: Simplify (log 1) into 0 9.623 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.623 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.623 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 9.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.624 * [backup-simplify]: Simplify (+ 1 0) into 1 9.625 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.625 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.625 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 9.625 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 9.625 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 9.625 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 9.625 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 9.625 * [taylor]: Taking taylor expansion of 1 in N 9.625 * [backup-simplify]: Simplify 1 into 1 9.625 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.625 * [taylor]: Taking taylor expansion of N in N 9.625 * [backup-simplify]: Simplify 0 into 0 9.625 * [backup-simplify]: Simplify 1 into 1 9.625 * [backup-simplify]: Simplify (/ 1 1) into 1 9.626 * [backup-simplify]: Simplify (+ 0 1) into 1 9.626 * [backup-simplify]: Simplify (log 1) into 0 9.626 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.627 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.627 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 9.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.627 * [backup-simplify]: Simplify (+ 1 0) into 1 9.628 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.628 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.628 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 9.628 * [taylor]: Taking taylor expansion of (- (log (/ 1 N))) in N 9.628 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 9.628 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.628 * [taylor]: Taking taylor expansion of N in N 9.628 * [backup-simplify]: Simplify 0 into 0 9.628 * [backup-simplify]: Simplify 1 into 1 9.629 * [backup-simplify]: Simplify (/ 1 1) into 1 9.629 * [backup-simplify]: Simplify (log 1) into 0 9.629 * [backup-simplify]: Simplify (* (sqrt (- (log N))) (sqrt (- (log N)))) into (pow (sqrt (- (log N))) 2) 9.629 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.629 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 9.629 * [backup-simplify]: Simplify (+ (pow (sqrt (- (log N))) 2) (log N)) into (+ (pow (sqrt (- (log N))) 2) (log N)) 9.630 * [backup-simplify]: Simplify (+ (pow (sqrt (- (log N))) 2) (log N)) into (+ (pow (sqrt (- (log N))) 2) (log N)) 9.630 * [backup-simplify]: Simplify (+ (* (sqrt (- (log N))) (/ 1/2 (sqrt (- (log N))))) (* (/ 1/2 (sqrt (- (log N)))) (sqrt (- (log N))))) into 1 9.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.631 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.631 * [backup-simplify]: Simplify (- 0) into 0 9.631 * [backup-simplify]: Simplify (+ 1 0) into 1 9.632 * [backup-simplify]: Simplify 1 into 1 9.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.632 * [backup-simplify]: Simplify (+ 0 0) into 0 9.634 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.634 * [backup-simplify]: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 9.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.635 * [backup-simplify]: Simplify (+ 0 0) into 0 9.638 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.639 * [backup-simplify]: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 9.640 * [backup-simplify]: Simplify (+ (* (sqrt (- (log N))) (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N)))))) (+ (* (/ 1/2 (sqrt (- (log N)))) (/ 1/2 (sqrt (- (log N))))) (* (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) (sqrt (- (log N)))))) into (- 1/2) 9.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.644 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.644 * [backup-simplify]: Simplify (- 0) into 0 9.645 * [backup-simplify]: Simplify (+ (- 1/2) 0) into -1/2 9.645 * [backup-simplify]: Simplify -1/2 into -1/2 9.645 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))))) into (- (+ (log (/ 1 N)) (+ (/ 1 N) (pow (sqrt (- (log (/ 1 N)))) 2))) (* 1/2 (/ 1 (pow N 2)))) 9.645 * [backup-simplify]: Simplify (fma (sqrt (log1p (/ 1 (- N)))) (sqrt (log1p (/ 1 (- N)))) (- (log (/ 1 (- N))))) into (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 9.645 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in (N) around 0 9.646 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in N 9.646 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) (- (log (/ -1 N)))) 9.646 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) in N 9.646 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 9.646 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 9.646 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 9.646 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 9.646 * [taylor]: Taking taylor expansion of 1 in N 9.646 * [backup-simplify]: Simplify 1 into 1 9.646 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.646 * [taylor]: Taking taylor expansion of -1 in N 9.646 * [backup-simplify]: Simplify -1 into -1 9.646 * [taylor]: Taking taylor expansion of N in N 9.646 * [backup-simplify]: Simplify 0 into 0 9.646 * [backup-simplify]: Simplify 1 into 1 9.646 * [backup-simplify]: Simplify (/ -1 1) into -1 9.647 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.647 * [backup-simplify]: Simplify (log -1) into (log -1) 9.648 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.649 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.649 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 9.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.651 * [backup-simplify]: Simplify (+ 1 0) into 1 9.652 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 9.653 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.654 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 9.654 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 9.654 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 9.654 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 9.654 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 9.654 * [taylor]: Taking taylor expansion of 1 in N 9.654 * [backup-simplify]: Simplify 1 into 1 9.654 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.654 * [taylor]: Taking taylor expansion of -1 in N 9.654 * [backup-simplify]: Simplify -1 into -1 9.654 * [taylor]: Taking taylor expansion of N in N 9.654 * [backup-simplify]: Simplify 0 into 0 9.654 * [backup-simplify]: Simplify 1 into 1 9.655 * [backup-simplify]: Simplify (/ -1 1) into -1 9.655 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.656 * [backup-simplify]: Simplify (log -1) into (log -1) 9.657 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.657 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.658 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 9.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.659 * [backup-simplify]: Simplify (+ 1 0) into 1 9.661 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 9.661 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.662 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 9.662 * [taylor]: Taking taylor expansion of (- (log (/ -1 N))) in N 9.662 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 9.662 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.662 * [taylor]: Taking taylor expansion of -1 in N 9.662 * [backup-simplify]: Simplify -1 into -1 9.662 * [taylor]: Taking taylor expansion of N in N 9.662 * [backup-simplify]: Simplify 0 into 0 9.662 * [backup-simplify]: Simplify 1 into 1 9.663 * [backup-simplify]: Simplify (/ -1 1) into -1 9.663 * [backup-simplify]: Simplify (log -1) into (log -1) 9.663 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in N 9.663 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) (- (log (/ -1 N)))) 9.663 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) in N 9.663 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 9.663 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 9.663 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 9.663 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 9.663 * [taylor]: Taking taylor expansion of 1 in N 9.663 * [backup-simplify]: Simplify 1 into 1 9.663 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.663 * [taylor]: Taking taylor expansion of -1 in N 9.663 * [backup-simplify]: Simplify -1 into -1 9.663 * [taylor]: Taking taylor expansion of N in N 9.663 * [backup-simplify]: Simplify 0 into 0 9.663 * [backup-simplify]: Simplify 1 into 1 9.664 * [backup-simplify]: Simplify (/ -1 1) into -1 9.664 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.665 * [backup-simplify]: Simplify (log -1) into (log -1) 9.665 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.666 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.667 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 9.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.668 * [backup-simplify]: Simplify (+ 1 0) into 1 9.669 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 9.670 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.671 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 9.671 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 9.671 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 9.671 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 9.671 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 9.671 * [taylor]: Taking taylor expansion of 1 in N 9.671 * [backup-simplify]: Simplify 1 into 1 9.671 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.671 * [taylor]: Taking taylor expansion of -1 in N 9.671 * [backup-simplify]: Simplify -1 into -1 9.671 * [taylor]: Taking taylor expansion of N in N 9.671 * [backup-simplify]: Simplify 0 into 0 9.671 * [backup-simplify]: Simplify 1 into 1 9.672 * [backup-simplify]: Simplify (/ -1 1) into -1 9.672 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.672 * [backup-simplify]: Simplify (log -1) into (log -1) 9.673 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.674 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.674 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 9.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.676 * [backup-simplify]: Simplify (+ 1 0) into 1 9.677 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 9.678 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.678 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 9.678 * [taylor]: Taking taylor expansion of (- (log (/ -1 N))) in N 9.679 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 9.679 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.679 * [taylor]: Taking taylor expansion of -1 in N 9.679 * [backup-simplify]: Simplify -1 into -1 9.679 * [taylor]: Taking taylor expansion of N in N 9.679 * [backup-simplify]: Simplify 0 into 0 9.679 * [backup-simplify]: Simplify 1 into 1 9.679 * [backup-simplify]: Simplify (/ -1 1) into -1 9.679 * [backup-simplify]: Simplify (log -1) into (log -1) 9.680 * [backup-simplify]: Simplify (* (sqrt (- (log -1) (log N))) (sqrt (- (log -1) (log N)))) into (- (log -1) (log N)) 9.681 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.682 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 9.682 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 9.682 * [backup-simplify]: Simplify 0 into 0 9.684 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (sqrt (- (log -1) (log N))))) into (- 1) 9.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.686 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 9.687 * [backup-simplify]: Simplify (- 0) into 0 9.687 * [backup-simplify]: Simplify (+ (- 1) 0) into -1 9.687 * [backup-simplify]: Simplify -1 into -1 9.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.689 * [backup-simplify]: Simplify (+ 0 0) into 0 9.692 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 9.693 * [backup-simplify]: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) 9.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.694 * [backup-simplify]: Simplify (+ 0 0) into 0 9.697 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 9.699 * [backup-simplify]: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) 9.702 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) (sqrt (- (log -1) (log N)))))) into (- 1/2) 9.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.706 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 9.707 * [backup-simplify]: Simplify (- 0) into 0 9.707 * [backup-simplify]: Simplify (+ (- 1/2) 0) into -1/2 9.707 * [backup-simplify]: Simplify -1/2 into -1/2 9.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.709 * [backup-simplify]: Simplify (+ 0 0) into 0 9.714 * [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 9.717 * [backup-simplify]: Simplify (/ (- -1/3 (+ (* 2 (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))))))) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) 9.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.718 * [backup-simplify]: Simplify (+ 0 0) into 0 9.724 * [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 9.727 * [backup-simplify]: Simplify (/ (- -1/3 (+ (* 2 (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))))))) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) 9.737 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) (sqrt (- (log -1) (log N))))))) into (- 1/3) 9.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.744 * [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 9.744 * [backup-simplify]: Simplify (- 0) into 0 9.745 * [backup-simplify]: Simplify (+ (- 1/3) 0) into -1/3 9.745 * [backup-simplify]: Simplify -1/3 into -1/3 9.745 * [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)))) 9.745 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2 1) 9.745 * [backup-simplify]: Simplify (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) into (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 9.745 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in (N) around 0 9.745 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in N 9.745 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p N)) (sqrt (log1p N))) (- (log N))) 9.745 * [taylor]: Taking taylor expansion of (* (sqrt (log1p N)) (sqrt (log1p N))) in N 9.745 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 9.746 * [taylor]: Taking taylor expansion of (log1p N) in N 9.746 * [taylor]: Rewrote expression to (log (+ 1 N)) 9.746 * [taylor]: Taking taylor expansion of (+ 1 N) in N 9.746 * [taylor]: Taking taylor expansion of 1 in N 9.746 * [backup-simplify]: Simplify 1 into 1 9.746 * [taylor]: Taking taylor expansion of N in N 9.746 * [backup-simplify]: Simplify 0 into 0 9.746 * [backup-simplify]: Simplify 1 into 1 9.746 * [backup-simplify]: Simplify (+ 1 0) into 1 9.747 * [backup-simplify]: Simplify (log 1) into 0 9.747 * [backup-simplify]: Simplify (+ 0 1) into 1 9.748 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.749 * [backup-simplify]: Simplify (sqrt 0) into 0 9.750 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.750 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 9.750 * [taylor]: Taking taylor expansion of (log1p N) in N 9.750 * [taylor]: Rewrote expression to (log (+ 1 N)) 9.750 * [taylor]: Taking taylor expansion of (+ 1 N) in N 9.750 * [taylor]: Taking taylor expansion of 1 in N 9.750 * [backup-simplify]: Simplify 1 into 1 9.750 * [taylor]: Taking taylor expansion of N in N 9.750 * [backup-simplify]: Simplify 0 into 0 9.750 * [backup-simplify]: Simplify 1 into 1 9.751 * [backup-simplify]: Simplify (+ 1 0) into 1 9.751 * [backup-simplify]: Simplify (log 1) into 0 9.752 * [backup-simplify]: Simplify (+ 0 1) into 1 9.753 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.753 * [backup-simplify]: Simplify (sqrt 0) into 0 9.754 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.754 * [taylor]: Taking taylor expansion of (- (log N)) in N 9.754 * [taylor]: Taking taylor expansion of (log N) in N 9.755 * [taylor]: Taking taylor expansion of N in N 9.755 * [backup-simplify]: Simplify 0 into 0 9.755 * [backup-simplify]: Simplify 1 into 1 9.755 * [backup-simplify]: Simplify (log 1) into 0 9.755 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in N 9.755 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p N)) (sqrt (log1p N))) (- (log N))) 9.755 * [taylor]: Taking taylor expansion of (* (sqrt (log1p N)) (sqrt (log1p N))) in N 9.755 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 9.755 * [taylor]: Taking taylor expansion of (log1p N) in N 9.755 * [taylor]: Rewrote expression to (log (+ 1 N)) 9.755 * [taylor]: Taking taylor expansion of (+ 1 N) in N 9.755 * [taylor]: Taking taylor expansion of 1 in N 9.755 * [backup-simplify]: Simplify 1 into 1 9.755 * [taylor]: Taking taylor expansion of N in N 9.755 * [backup-simplify]: Simplify 0 into 0 9.755 * [backup-simplify]: Simplify 1 into 1 9.756 * [backup-simplify]: Simplify (+ 1 0) into 1 9.756 * [backup-simplify]: Simplify (log 1) into 0 9.757 * [backup-simplify]: Simplify (+ 0 1) into 1 9.758 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.758 * [backup-simplify]: Simplify (sqrt 0) into 0 9.759 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.759 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 9.759 * [taylor]: Taking taylor expansion of (log1p N) in N 9.760 * [taylor]: Rewrote expression to (log (+ 1 N)) 9.760 * [taylor]: Taking taylor expansion of (+ 1 N) in N 9.760 * [taylor]: Taking taylor expansion of 1 in N 9.760 * [backup-simplify]: Simplify 1 into 1 9.760 * [taylor]: Taking taylor expansion of N in N 9.760 * [backup-simplify]: Simplify 0 into 0 9.760 * [backup-simplify]: Simplify 1 into 1 9.760 * [backup-simplify]: Simplify (+ 1 0) into 1 9.760 * [backup-simplify]: Simplify (log 1) into 0 9.761 * [backup-simplify]: Simplify (+ 0 1) into 1 9.762 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.763 * [backup-simplify]: Simplify (sqrt 0) into 0 9.764 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.764 * [taylor]: Taking taylor expansion of (- (log N)) in N 9.764 * [taylor]: Taking taylor expansion of (log N) in N 9.764 * [taylor]: Taking taylor expansion of N in N 9.764 * [backup-simplify]: Simplify 0 into 0 9.764 * [backup-simplify]: Simplify 1 into 1 9.764 * [backup-simplify]: Simplify (log 1) into 0 9.765 * [backup-simplify]: Simplify (* 0 0) into 0 9.765 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.765 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 9.765 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 9.765 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 9.766 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 9.768 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.768 * [backup-simplify]: Simplify (- 0) into 0 9.768 * [backup-simplify]: Simplify (+ 0 0) into 0 9.768 * [backup-simplify]: Simplify 0 into 0 9.769 * [backup-simplify]: Simplify (+ 0 0) into 0 9.772 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.775 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.776 * [backup-simplify]: Simplify (+ 0 0) into 0 9.779 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.782 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.784 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 9.785 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.786 * [backup-simplify]: Simplify (- 0) into 0 9.786 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 9.786 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.787 * [backup-simplify]: Simplify (+ 0 0) into 0 9.789 * [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 9.792 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.792 * [backup-simplify]: Simplify (+ 0 0) into 0 9.795 * [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 9.798 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.800 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 9.803 * [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 9.804 * [backup-simplify]: Simplify (- 0) into 0 9.804 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 9.804 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.805 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 3)) (+ (* (- +nan.0) (pow N 2)) (- (log N)))) into (- (+ (* +nan.0 (pow N 2)) (- (log N) (* +nan.0 (pow N 3))))) 9.805 * [backup-simplify]: Simplify (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) into (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 9.805 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in (N) around 0 9.805 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in N 9.805 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) (- (log (/ 1 N)))) 9.805 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) in N 9.805 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 9.805 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 9.805 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 9.805 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 9.805 * [taylor]: Taking taylor expansion of 1 in N 9.805 * [backup-simplify]: Simplify 1 into 1 9.805 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.805 * [taylor]: Taking taylor expansion of N in N 9.805 * [backup-simplify]: Simplify 0 into 0 9.805 * [backup-simplify]: Simplify 1 into 1 9.806 * [backup-simplify]: Simplify (/ 1 1) into 1 9.806 * [backup-simplify]: Simplify (+ 0 1) into 1 9.806 * [backup-simplify]: Simplify (log 1) into 0 9.806 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.807 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.807 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 9.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.808 * [backup-simplify]: Simplify (+ 1 0) into 1 9.808 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.809 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.809 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 9.809 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 9.809 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 9.809 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 9.809 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 9.809 * [taylor]: Taking taylor expansion of 1 in N 9.809 * [backup-simplify]: Simplify 1 into 1 9.809 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.809 * [taylor]: Taking taylor expansion of N in N 9.809 * [backup-simplify]: Simplify 0 into 0 9.809 * [backup-simplify]: Simplify 1 into 1 9.809 * [backup-simplify]: Simplify (/ 1 1) into 1 9.809 * [backup-simplify]: Simplify (+ 0 1) into 1 9.810 * [backup-simplify]: Simplify (log 1) into 0 9.810 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.810 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.810 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 9.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.811 * [backup-simplify]: Simplify (+ 1 0) into 1 9.812 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.812 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.812 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 9.812 * [taylor]: Taking taylor expansion of (- (log (/ 1 N))) in N 9.812 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 9.812 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.812 * [taylor]: Taking taylor expansion of N in N 9.812 * [backup-simplify]: Simplify 0 into 0 9.812 * [backup-simplify]: Simplify 1 into 1 9.812 * [backup-simplify]: Simplify (/ 1 1) into 1 9.813 * [backup-simplify]: Simplify (log 1) into 0 9.813 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in N 9.813 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) (- (log (/ 1 N)))) 9.813 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) in N 9.813 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 9.813 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 9.813 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 9.813 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 9.813 * [taylor]: Taking taylor expansion of 1 in N 9.813 * [backup-simplify]: Simplify 1 into 1 9.813 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.813 * [taylor]: Taking taylor expansion of N in N 9.813 * [backup-simplify]: Simplify 0 into 0 9.813 * [backup-simplify]: Simplify 1 into 1 9.813 * [backup-simplify]: Simplify (/ 1 1) into 1 9.813 * [backup-simplify]: Simplify (+ 0 1) into 1 9.814 * [backup-simplify]: Simplify (log 1) into 0 9.814 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.814 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.814 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 9.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.815 * [backup-simplify]: Simplify (+ 1 0) into 1 9.816 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.816 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.816 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 9.816 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 9.816 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 9.816 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 9.816 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 9.816 * [taylor]: Taking taylor expansion of 1 in N 9.816 * [backup-simplify]: Simplify 1 into 1 9.816 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.816 * [taylor]: Taking taylor expansion of N in N 9.816 * [backup-simplify]: Simplify 0 into 0 9.816 * [backup-simplify]: Simplify 1 into 1 9.816 * [backup-simplify]: Simplify (/ 1 1) into 1 9.817 * [backup-simplify]: Simplify (+ 0 1) into 1 9.817 * [backup-simplify]: Simplify (log 1) into 0 9.817 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.817 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.818 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 9.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.818 * [backup-simplify]: Simplify (+ 1 0) into 1 9.819 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.819 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.819 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 9.820 * [taylor]: Taking taylor expansion of (- (log (/ 1 N))) in N 9.820 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 9.820 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.820 * [taylor]: Taking taylor expansion of N in N 9.820 * [backup-simplify]: Simplify 0 into 0 9.820 * [backup-simplify]: Simplify 1 into 1 9.820 * [backup-simplify]: Simplify (/ 1 1) into 1 9.820 * [backup-simplify]: Simplify (log 1) into 0 9.820 * [backup-simplify]: Simplify (* (sqrt (- (log N))) (sqrt (- (log N)))) into (pow (sqrt (- (log N))) 2) 9.821 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.821 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 9.821 * [backup-simplify]: Simplify (+ (pow (sqrt (- (log N))) 2) (log N)) into (+ (pow (sqrt (- (log N))) 2) (log N)) 9.821 * [backup-simplify]: Simplify (+ (pow (sqrt (- (log N))) 2) (log N)) into (+ (pow (sqrt (- (log N))) 2) (log N)) 9.821 * [backup-simplify]: Simplify (+ (* (sqrt (- (log N))) (/ 1/2 (sqrt (- (log N))))) (* (/ 1/2 (sqrt (- (log N)))) (sqrt (- (log N))))) into 1 9.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.822 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.822 * [backup-simplify]: Simplify (- 0) into 0 9.823 * [backup-simplify]: Simplify (+ 1 0) into 1 9.823 * [backup-simplify]: Simplify 1 into 1 9.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.823 * [backup-simplify]: Simplify (+ 0 0) into 0 9.825 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.825 * [backup-simplify]: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 9.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.826 * [backup-simplify]: Simplify (+ 0 0) into 0 9.828 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.828 * [backup-simplify]: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 9.829 * [backup-simplify]: Simplify (+ (* (sqrt (- (log N))) (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N)))))) (+ (* (/ 1/2 (sqrt (- (log N)))) (/ 1/2 (sqrt (- (log N))))) (* (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) (sqrt (- (log N)))))) into (- 1/2) 9.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.831 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.831 * [backup-simplify]: Simplify (- 0) into 0 9.832 * [backup-simplify]: Simplify (+ (- 1/2) 0) into -1/2 9.832 * [backup-simplify]: Simplify -1/2 into -1/2 9.832 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))))) into (- (+ (log (/ 1 N)) (+ (/ 1 N) (pow (sqrt (- (log (/ 1 N)))) 2))) (* 1/2 (/ 1 (pow N 2)))) 9.832 * [backup-simplify]: Simplify (fma (sqrt (log1p (/ 1 (- N)))) (sqrt (log1p (/ 1 (- N)))) (- (log (/ 1 (- N))))) into (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 9.832 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in (N) around 0 9.832 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in N 9.832 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) (- (log (/ -1 N)))) 9.832 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) in N 9.832 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 9.832 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 9.832 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 9.832 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 9.832 * [taylor]: Taking taylor expansion of 1 in N 9.833 * [backup-simplify]: Simplify 1 into 1 9.833 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.833 * [taylor]: Taking taylor expansion of -1 in N 9.833 * [backup-simplify]: Simplify -1 into -1 9.833 * [taylor]: Taking taylor expansion of N in N 9.833 * [backup-simplify]: Simplify 0 into 0 9.833 * [backup-simplify]: Simplify 1 into 1 9.833 * [backup-simplify]: Simplify (/ -1 1) into -1 9.833 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.833 * [backup-simplify]: Simplify (log -1) into (log -1) 9.834 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.834 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.835 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 9.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.836 * [backup-simplify]: Simplify (+ 1 0) into 1 9.836 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 9.837 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.837 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 9.837 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 9.837 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 9.837 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 9.837 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 9.837 * [taylor]: Taking taylor expansion of 1 in N 9.837 * [backup-simplify]: Simplify 1 into 1 9.837 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.837 * [taylor]: Taking taylor expansion of -1 in N 9.837 * [backup-simplify]: Simplify -1 into -1 9.837 * [taylor]: Taking taylor expansion of N in N 9.837 * [backup-simplify]: Simplify 0 into 0 9.837 * [backup-simplify]: Simplify 1 into 1 9.838 * [backup-simplify]: Simplify (/ -1 1) into -1 9.838 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.838 * [backup-simplify]: Simplify (log -1) into (log -1) 9.841 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.842 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.842 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 9.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.844 * [backup-simplify]: Simplify (+ 1 0) into 1 9.845 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 9.846 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.846 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 9.846 * [taylor]: Taking taylor expansion of (- (log (/ -1 N))) in N 9.846 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 9.846 * [taylor]: Taking taylor expansion of (/ -1 N) in N 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 9.847 * [backup-simplify]: Simplify (/ -1 1) into -1 9.847 * [backup-simplify]: Simplify (log -1) into (log -1) 9.847 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in N 9.847 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) (- (log (/ -1 N)))) 9.847 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) in N 9.847 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 9.847 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 9.847 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 9.847 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 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 (/ -1 N) in N 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 9.847 * [backup-simplify]: Simplify 0 into 0 9.847 * [backup-simplify]: Simplify 1 into 1 9.848 * [backup-simplify]: Simplify (/ -1 1) into -1 9.848 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.848 * [backup-simplify]: Simplify (log -1) into (log -1) 9.849 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.849 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.849 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 9.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.850 * [backup-simplify]: Simplify (+ 1 0) into 1 9.851 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 9.851 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.852 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 9.852 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 9.852 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 9.852 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 9.852 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 9.852 * [taylor]: Taking taylor expansion of 1 in N 9.852 * [backup-simplify]: Simplify 1 into 1 9.852 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.852 * [taylor]: Taking taylor expansion of -1 in N 9.852 * [backup-simplify]: Simplify -1 into -1 9.852 * [taylor]: Taking taylor expansion of N in N 9.852 * [backup-simplify]: Simplify 0 into 0 9.852 * [backup-simplify]: Simplify 1 into 1 9.852 * [backup-simplify]: Simplify (/ -1 1) into -1 9.853 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.853 * [backup-simplify]: Simplify (log -1) into (log -1) 9.854 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.854 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.854 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 9.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.855 * [backup-simplify]: Simplify (+ 1 0) into 1 9.856 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 9.856 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.857 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 9.857 * [taylor]: Taking taylor expansion of (- (log (/ -1 N))) in N 9.857 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 9.857 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.857 * [taylor]: Taking taylor expansion of -1 in N 9.857 * [backup-simplify]: Simplify -1 into -1 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 * [backup-simplify]: Simplify (log -1) into (log -1) 9.858 * [backup-simplify]: Simplify (* (sqrt (- (log -1) (log N))) (sqrt (- (log -1) (log N)))) into (- (log -1) (log N)) 9.858 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.859 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 9.859 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 9.859 * [backup-simplify]: Simplify 0 into 0 9.860 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (sqrt (- (log -1) (log N))))) into (- 1) 9.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.862 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 9.862 * [backup-simplify]: Simplify (- 0) into 0 9.862 * [backup-simplify]: Simplify (+ (- 1) 0) into -1 9.862 * [backup-simplify]: Simplify -1 into -1 9.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.863 * [backup-simplify]: Simplify (+ 0 0) into 0 9.865 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 9.866 * [backup-simplify]: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) 9.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.866 * [backup-simplify]: Simplify (+ 0 0) into 0 9.868 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 9.869 * [backup-simplify]: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) 9.871 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) (sqrt (- (log -1) (log N)))))) into (- 1/2) 9.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.873 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 9.874 * [backup-simplify]: Simplify (- 0) into 0 9.874 * [backup-simplify]: Simplify (+ (- 1/2) 0) into -1/2 9.874 * [backup-simplify]: Simplify -1/2 into -1/2 9.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.875 * [backup-simplify]: Simplify (+ 0 0) into 0 9.878 * [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 9.879 * [backup-simplify]: Simplify (/ (- -1/3 (+ (* 2 (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))))))) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) 9.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.881 * [backup-simplify]: Simplify (+ 0 0) into 0 9.884 * [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 9.886 * [backup-simplify]: Simplify (/ (- -1/3 (+ (* 2 (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))))))) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) 9.890 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) (sqrt (- (log -1) (log N))))))) into (- 1/3) 9.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.897 * [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 9.897 * [backup-simplify]: Simplify (- 0) into 0 9.898 * [backup-simplify]: Simplify (+ (- 1/3) 0) into -1/3 9.898 * [backup-simplify]: Simplify -1/3 into -1/3 9.898 * [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)))) 9.898 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1) 9.899 * [backup-simplify]: Simplify (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) into (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 9.899 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in (N) around 0 9.899 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in N 9.899 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p N)) (sqrt (log1p N))) (- (log N))) 9.899 * [taylor]: Taking taylor expansion of (* (sqrt (log1p N)) (sqrt (log1p N))) in N 9.899 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 9.899 * [taylor]: Taking taylor expansion of (log1p N) in N 9.899 * [taylor]: Rewrote expression to (log (+ 1 N)) 9.899 * [taylor]: Taking taylor expansion of (+ 1 N) in N 9.899 * [taylor]: Taking taylor expansion of 1 in N 9.899 * [backup-simplify]: Simplify 1 into 1 9.899 * [taylor]: Taking taylor expansion of N in N 9.899 * [backup-simplify]: Simplify 0 into 0 9.899 * [backup-simplify]: Simplify 1 into 1 9.900 * [backup-simplify]: Simplify (+ 1 0) into 1 9.900 * [backup-simplify]: Simplify (log 1) into 0 9.900 * [backup-simplify]: Simplify (+ 0 1) into 1 9.902 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.902 * [backup-simplify]: Simplify (sqrt 0) into 0 9.904 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.904 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 9.904 * [taylor]: Taking taylor expansion of (log1p N) in N 9.904 * [taylor]: Rewrote expression to (log (+ 1 N)) 9.904 * [taylor]: Taking taylor expansion of (+ 1 N) in N 9.904 * [taylor]: Taking taylor expansion of 1 in N 9.904 * [backup-simplify]: Simplify 1 into 1 9.904 * [taylor]: Taking taylor expansion of N in N 9.904 * [backup-simplify]: Simplify 0 into 0 9.904 * [backup-simplify]: Simplify 1 into 1 9.904 * [backup-simplify]: Simplify (+ 1 0) into 1 9.905 * [backup-simplify]: Simplify (log 1) into 0 9.905 * [backup-simplify]: Simplify (+ 0 1) into 1 9.906 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.907 * [backup-simplify]: Simplify (sqrt 0) into 0 9.908 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.908 * [taylor]: Taking taylor expansion of (- (log N)) in N 9.908 * [taylor]: Taking taylor expansion of (log N) in N 9.908 * [taylor]: Taking taylor expansion of N in N 9.908 * [backup-simplify]: Simplify 0 into 0 9.908 * [backup-simplify]: Simplify 1 into 1 9.909 * [backup-simplify]: Simplify (log 1) into 0 9.909 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in N 9.909 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p N)) (sqrt (log1p N))) (- (log N))) 9.909 * [taylor]: Taking taylor expansion of (* (sqrt (log1p N)) (sqrt (log1p N))) in N 9.909 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 9.909 * [taylor]: Taking taylor expansion of (log1p N) in N 9.909 * [taylor]: Rewrote expression to (log (+ 1 N)) 9.909 * [taylor]: Taking taylor expansion of (+ 1 N) in N 9.909 * [taylor]: Taking taylor expansion of 1 in N 9.909 * [backup-simplify]: Simplify 1 into 1 9.909 * [taylor]: Taking taylor expansion of N in N 9.909 * [backup-simplify]: Simplify 0 into 0 9.909 * [backup-simplify]: Simplify 1 into 1 9.910 * [backup-simplify]: Simplify (+ 1 0) into 1 9.910 * [backup-simplify]: Simplify (log 1) into 0 9.910 * [backup-simplify]: Simplify (+ 0 1) into 1 9.912 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.912 * [backup-simplify]: Simplify (sqrt 0) into 0 9.913 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.913 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 9.913 * [taylor]: Taking taylor expansion of (log1p N) in N 9.913 * [taylor]: Rewrote expression to (log (+ 1 N)) 9.914 * [taylor]: Taking taylor expansion of (+ 1 N) in N 9.914 * [taylor]: Taking taylor expansion of 1 in N 9.914 * [backup-simplify]: Simplify 1 into 1 9.914 * [taylor]: Taking taylor expansion of N in N 9.914 * [backup-simplify]: Simplify 0 into 0 9.914 * [backup-simplify]: Simplify 1 into 1 9.914 * [backup-simplify]: Simplify (+ 1 0) into 1 9.914 * [backup-simplify]: Simplify (log 1) into 0 9.915 * [backup-simplify]: Simplify (+ 0 1) into 1 9.915 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.916 * [backup-simplify]: Simplify (sqrt 0) into 0 9.917 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.917 * [taylor]: Taking taylor expansion of (- (log N)) in N 9.917 * [taylor]: Taking taylor expansion of (log N) in N 9.917 * [taylor]: Taking taylor expansion of N in N 9.917 * [backup-simplify]: Simplify 0 into 0 9.917 * [backup-simplify]: Simplify 1 into 1 9.917 * [backup-simplify]: Simplify (log 1) into 0 9.917 * [backup-simplify]: Simplify (* 0 0) into 0 9.917 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.917 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 9.918 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 9.918 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 9.918 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 9.919 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.919 * [backup-simplify]: Simplify (- 0) into 0 9.919 * [backup-simplify]: Simplify (+ 0 0) into 0 9.919 * [backup-simplify]: Simplify 0 into 0 9.919 * [backup-simplify]: Simplify (+ 0 0) into 0 9.921 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.923 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.923 * [backup-simplify]: Simplify (+ 0 0) into 0 9.925 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.927 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.929 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 9.930 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.931 * [backup-simplify]: Simplify (- 0) into 0 9.931 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 9.932 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.932 * [backup-simplify]: Simplify (+ 0 0) into 0 9.935 * [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 9.937 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.938 * [backup-simplify]: Simplify (+ 0 0) into 0 9.942 * [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 9.944 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.947 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 9.950 * [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 9.950 * [backup-simplify]: Simplify (- 0) into 0 9.950 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 9.951 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.951 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 3)) (+ (* (- +nan.0) (pow N 2)) (- (log N)))) into (- (+ (* +nan.0 (pow N 2)) (- (log N) (* +nan.0 (pow N 3))))) 9.952 * [backup-simplify]: Simplify (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) into (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 9.952 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in (N) around 0 9.952 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in N 9.952 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) (- (log (/ 1 N)))) 9.952 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) in N 9.952 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 9.952 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 9.952 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 9.952 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 9.952 * [taylor]: Taking taylor expansion of 1 in N 9.952 * [backup-simplify]: Simplify 1 into 1 9.952 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.952 * [taylor]: Taking taylor expansion of N in N 9.952 * [backup-simplify]: Simplify 0 into 0 9.952 * [backup-simplify]: Simplify 1 into 1 9.952 * [backup-simplify]: Simplify (/ 1 1) into 1 9.952 * [backup-simplify]: Simplify (+ 0 1) into 1 9.953 * [backup-simplify]: Simplify (log 1) into 0 9.953 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.953 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.953 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 9.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.954 * [backup-simplify]: Simplify (+ 1 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) (log N)) 0) into (- (log N)) 9.955 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 9.955 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 9.955 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 9.955 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 9.955 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 9.955 * [taylor]: Taking taylor expansion of 1 in N 9.956 * [backup-simplify]: Simplify 1 into 1 9.956 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.956 * [taylor]: Taking taylor expansion of N in N 9.956 * [backup-simplify]: Simplify 0 into 0 9.956 * [backup-simplify]: Simplify 1 into 1 9.956 * [backup-simplify]: Simplify (/ 1 1) into 1 9.956 * [backup-simplify]: Simplify (+ 0 1) into 1 9.956 * [backup-simplify]: Simplify (log 1) into 0 9.957 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.957 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.957 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 9.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.958 * [backup-simplify]: Simplify (+ 1 0) into 1 9.958 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.959 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.959 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 9.959 * [taylor]: Taking taylor expansion of (- (log (/ 1 N))) in N 9.959 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 9.959 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.959 * [taylor]: Taking taylor expansion of N in N 9.959 * [backup-simplify]: Simplify 0 into 0 9.959 * [backup-simplify]: Simplify 1 into 1 9.959 * [backup-simplify]: Simplify (/ 1 1) into 1 9.959 * [backup-simplify]: Simplify (log 1) into 0 9.959 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in N 9.959 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) (- (log (/ 1 N)))) 9.959 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) in N 9.959 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 9.959 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 9.960 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 9.960 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 9.960 * [taylor]: Taking taylor expansion of 1 in N 9.960 * [backup-simplify]: Simplify 1 into 1 9.960 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.960 * [taylor]: Taking taylor expansion of N in N 9.960 * [backup-simplify]: Simplify 0 into 0 9.960 * [backup-simplify]: Simplify 1 into 1 9.960 * [backup-simplify]: Simplify (/ 1 1) into 1 9.960 * [backup-simplify]: Simplify (+ 0 1) into 1 9.960 * [backup-simplify]: Simplify (log 1) into 0 9.961 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.961 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.961 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 9.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.962 * [backup-simplify]: Simplify (+ 1 0) into 1 9.962 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.963 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.963 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 9.963 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 9.963 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 9.963 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 9.963 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 9.963 * [taylor]: Taking taylor expansion of 1 in N 9.963 * [backup-simplify]: Simplify 1 into 1 9.963 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.963 * [taylor]: Taking taylor expansion of N in N 9.963 * [backup-simplify]: Simplify 0 into 0 9.963 * [backup-simplify]: Simplify 1 into 1 9.964 * [backup-simplify]: Simplify (/ 1 1) into 1 9.964 * [backup-simplify]: Simplify (+ 0 1) into 1 9.965 * [backup-simplify]: Simplify (log 1) into 0 9.965 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.965 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.966 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 9.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.967 * [backup-simplify]: Simplify (+ 1 0) into 1 9.968 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 9.968 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.969 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 9.969 * [taylor]: Taking taylor expansion of (- (log (/ 1 N))) in N 9.969 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 9.969 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.969 * [taylor]: Taking taylor expansion of N in N 9.969 * [backup-simplify]: Simplify 0 into 0 9.969 * [backup-simplify]: Simplify 1 into 1 9.969 * [backup-simplify]: Simplify (/ 1 1) into 1 9.970 * [backup-simplify]: Simplify (log 1) into 0 9.970 * [backup-simplify]: Simplify (* (sqrt (- (log N))) (sqrt (- (log N)))) into (pow (sqrt (- (log N))) 2) 9.970 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.970 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 9.970 * [backup-simplify]: Simplify (+ (pow (sqrt (- (log N))) 2) (log N)) into (+ (pow (sqrt (- (log N))) 2) (log N)) 9.971 * [backup-simplify]: Simplify (+ (pow (sqrt (- (log N))) 2) (log N)) into (+ (pow (sqrt (- (log N))) 2) (log N)) 9.971 * [backup-simplify]: Simplify (+ (* (sqrt (- (log N))) (/ 1/2 (sqrt (- (log N))))) (* (/ 1/2 (sqrt (- (log N)))) (sqrt (- (log N))))) into 1 9.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.973 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.974 * [backup-simplify]: Simplify (- 0) into 0 9.974 * [backup-simplify]: Simplify (+ 1 0) into 1 9.974 * [backup-simplify]: Simplify 1 into 1 9.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.976 * [backup-simplify]: Simplify (+ 0 0) into 0 9.979 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.979 * [backup-simplify]: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 9.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.981 * [backup-simplify]: Simplify (+ 0 0) into 0 9.984 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 9.985 * [backup-simplify]: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 9.986 * [backup-simplify]: Simplify (+ (* (sqrt (- (log N))) (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N)))))) (+ (* (/ 1/2 (sqrt (- (log N)))) (/ 1/2 (sqrt (- (log N))))) (* (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) (sqrt (- (log N)))))) into (- 1/2) 9.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.989 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.990 * [backup-simplify]: Simplify (- 0) into 0 9.991 * [backup-simplify]: Simplify (+ (- 1/2) 0) into -1/2 9.991 * [backup-simplify]: Simplify -1/2 into -1/2 9.991 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))))) into (- (+ (log (/ 1 N)) (+ (/ 1 N) (pow (sqrt (- (log (/ 1 N)))) 2))) (* 1/2 (/ 1 (pow N 2)))) 9.991 * [backup-simplify]: Simplify (fma (sqrt (log1p (/ 1 (- N)))) (sqrt (log1p (/ 1 (- N)))) (- (log (/ 1 (- N))))) into (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 9.991 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in (N) around 0 9.991 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in N 9.991 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) (- (log (/ -1 N)))) 9.991 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) in N 9.991 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 9.991 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 9.991 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 9.991 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 9.991 * [taylor]: Taking taylor expansion of 1 in N 9.991 * [backup-simplify]: Simplify 1 into 1 9.991 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.991 * [taylor]: Taking taylor expansion of -1 in N 9.991 * [backup-simplify]: Simplify -1 into -1 9.991 * [taylor]: Taking taylor expansion of N in N 9.991 * [backup-simplify]: Simplify 0 into 0 9.991 * [backup-simplify]: Simplify 1 into 1 9.992 * [backup-simplify]: Simplify (/ -1 1) into -1 9.992 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.992 * [backup-simplify]: Simplify (log -1) into (log -1) 9.993 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.993 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.993 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 9.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.994 * [backup-simplify]: Simplify (+ 1 0) into 1 9.995 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 9.996 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.996 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 9.996 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 9.996 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 9.996 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 9.996 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 9.996 * [taylor]: Taking taylor expansion of 1 in N 9.996 * [backup-simplify]: Simplify 1 into 1 9.996 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.996 * [taylor]: Taking taylor expansion of -1 in N 9.996 * [backup-simplify]: Simplify -1 into -1 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 * [backup-simplify]: Simplify (/ -1 1) into -1 9.997 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.997 * [backup-simplify]: Simplify (log -1) into (log -1) 9.997 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.998 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 9.998 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 9.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.999 * [backup-simplify]: Simplify (+ 1 0) into 1 10.000 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 10.000 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.001 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 10.001 * [taylor]: Taking taylor expansion of (- (log (/ -1 N))) in N 10.001 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 10.001 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.001 * [taylor]: Taking taylor expansion of -1 in N 10.001 * [backup-simplify]: Simplify -1 into -1 10.001 * [taylor]: Taking taylor expansion of N in N 10.001 * [backup-simplify]: Simplify 0 into 0 10.001 * [backup-simplify]: Simplify 1 into 1 10.001 * [backup-simplify]: Simplify (/ -1 1) into -1 10.001 * [backup-simplify]: Simplify (log -1) into (log -1) 10.001 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in N 10.001 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) (- (log (/ -1 N)))) 10.001 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) in N 10.001 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 10.001 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 10.001 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 10.001 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 10.001 * [taylor]: Taking taylor expansion of 1 in N 10.001 * [backup-simplify]: Simplify 1 into 1 10.001 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.001 * [taylor]: Taking taylor expansion of -1 in N 10.001 * [backup-simplify]: Simplify -1 into -1 10.001 * [taylor]: Taking taylor expansion of N in N 10.002 * [backup-simplify]: Simplify 0 into 0 10.002 * [backup-simplify]: Simplify 1 into 1 10.002 * [backup-simplify]: Simplify (/ -1 1) into -1 10.002 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.002 * [backup-simplify]: Simplify (log -1) into (log -1) 10.003 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.003 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.004 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 10.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.004 * [backup-simplify]: Simplify (+ 1 0) into 1 10.005 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 10.006 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.006 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 10.006 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 10.006 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 10.006 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 10.006 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 10.006 * [taylor]: Taking taylor expansion of 1 in N 10.006 * [backup-simplify]: Simplify 1 into 1 10.006 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.006 * [taylor]: Taking taylor expansion of -1 in N 10.006 * [backup-simplify]: Simplify -1 into -1 10.006 * [taylor]: Taking taylor expansion of N in N 10.006 * [backup-simplify]: Simplify 0 into 0 10.006 * [backup-simplify]: Simplify 1 into 1 10.006 * [backup-simplify]: Simplify (/ -1 1) into -1 10.007 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.007 * [backup-simplify]: Simplify (log -1) into (log -1) 10.008 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.008 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.008 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 10.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.009 * [backup-simplify]: Simplify (+ 1 0) into 1 10.010 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 10.010 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.011 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 10.011 * [taylor]: Taking taylor expansion of (- (log (/ -1 N))) in N 10.011 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 10.011 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.011 * [taylor]: Taking taylor expansion of -1 in N 10.011 * [backup-simplify]: Simplify -1 into -1 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 * [backup-simplify]: Simplify (/ -1 1) into -1 10.011 * [backup-simplify]: Simplify (log -1) into (log -1) 10.012 * [backup-simplify]: Simplify (* (sqrt (- (log -1) (log N))) (sqrt (- (log -1) (log N)))) into (- (log -1) (log N)) 10.012 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.013 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 10.013 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 10.013 * [backup-simplify]: Simplify 0 into 0 10.014 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (sqrt (- (log -1) (log N))))) into (- 1) 10.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.016 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 10.016 * [backup-simplify]: Simplify (- 0) into 0 10.016 * [backup-simplify]: Simplify (+ (- 1) 0) into -1 10.016 * [backup-simplify]: Simplify -1 into -1 10.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.017 * [backup-simplify]: Simplify (+ 0 0) into 0 10.019 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 10.020 * [backup-simplify]: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) 10.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.022 * [backup-simplify]: Simplify (+ 0 0) into 0 10.025 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 10.027 * [backup-simplify]: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) 10.030 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) (sqrt (- (log -1) (log N)))))) into (- 1/2) 10.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.034 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 10.035 * [backup-simplify]: Simplify (- 0) into 0 10.035 * [backup-simplify]: Simplify (+ (- 1/2) 0) into -1/2 10.035 * [backup-simplify]: Simplify -1/2 into -1/2 10.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.037 * [backup-simplify]: Simplify (+ 0 0) into 0 10.043 * [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 10.047 * [backup-simplify]: Simplify (/ (- -1/3 (+ (* 2 (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))))))) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) 10.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.049 * [backup-simplify]: Simplify (+ 0 0) into 0 10.056 * [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 10.061 * [backup-simplify]: Simplify (/ (- -1/3 (+ (* 2 (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))))))) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) 10.067 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) (sqrt (- (log -1) (log N))))))) into (- 1/3) 10.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.071 * [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 10.071 * [backup-simplify]: Simplify (- 0) into 0 10.072 * [backup-simplify]: Simplify (+ (- 1/3) 0) into -1/3 10.072 * [backup-simplify]: Simplify -1/3 into -1/3 10.072 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 10.072 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 10.072 * [backup-simplify]: Simplify (log (exp (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))) into (pow (pow (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 2) 1/3) 10.072 * [approximate]: Taking taylor expansion of (pow (pow (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 2) 1/3) in (N) around 0 10.072 * [taylor]: Taking taylor expansion of (pow (pow (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 2) 1/3) in N 10.072 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 2)))) in N 10.072 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 2))) in N 10.072 * [taylor]: Taking taylor expansion of 1/3 in N 10.072 * [backup-simplify]: Simplify 1/3 into 1/3 10.072 * [taylor]: Taking taylor expansion of (log (pow (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 2)) in N 10.072 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 2) in N 10.073 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in N 10.073 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p N)) (sqrt (log1p N))) (- (log N))) 10.073 * [taylor]: Taking taylor expansion of (* (sqrt (log1p N)) (sqrt (log1p N))) in N 10.073 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 10.073 * [taylor]: Taking taylor expansion of (log1p N) in N 10.073 * [taylor]: Rewrote expression to (log (+ 1 N)) 10.073 * [taylor]: Taking taylor expansion of (+ 1 N) in N 10.073 * [taylor]: Taking taylor expansion of 1 in N 10.073 * [backup-simplify]: Simplify 1 into 1 10.073 * [taylor]: Taking taylor expansion of N in N 10.073 * [backup-simplify]: Simplify 0 into 0 10.073 * [backup-simplify]: Simplify 1 into 1 10.073 * [backup-simplify]: Simplify (+ 1 0) into 1 10.073 * [backup-simplify]: Simplify (log 1) into 0 10.074 * [backup-simplify]: Simplify (+ 0 1) into 1 10.074 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 10.075 * [backup-simplify]: Simplify (sqrt 0) into 0 10.076 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.076 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 10.076 * [taylor]: Taking taylor expansion of (log1p N) in N 10.076 * [taylor]: Rewrote expression to (log (+ 1 N)) 10.076 * [taylor]: Taking taylor expansion of (+ 1 N) in N 10.076 * [taylor]: Taking taylor expansion of 1 in N 10.076 * [backup-simplify]: Simplify 1 into 1 10.076 * [taylor]: Taking taylor expansion of N in N 10.076 * [backup-simplify]: Simplify 0 into 0 10.076 * [backup-simplify]: Simplify 1 into 1 10.076 * [backup-simplify]: Simplify (+ 1 0) into 1 10.076 * [backup-simplify]: Simplify (log 1) into 0 10.076 * [backup-simplify]: Simplify (+ 0 1) into 1 10.077 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 10.077 * [backup-simplify]: Simplify (sqrt 0) into 0 10.078 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.078 * [taylor]: Taking taylor expansion of (- (log N)) in N 10.078 * [taylor]: Taking taylor expansion of (log N) in N 10.078 * [taylor]: Taking taylor expansion of N in N 10.078 * [backup-simplify]: Simplify 0 into 0 10.078 * [backup-simplify]: Simplify 1 into 1 10.079 * [backup-simplify]: Simplify (log 1) into 0 10.079 * [backup-simplify]: Simplify (* 0 0) into 0 10.079 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.079 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 10.079 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 10.079 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 10.079 * [backup-simplify]: Simplify (log (pow (log N) 2)) into (log (pow (log N) 2)) 10.079 * [backup-simplify]: Simplify (* 1/3 (log (pow (log N) 2))) into (* 1/3 (log (pow (log N) 2))) 10.079 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log N) 2)))) into (pow (pow (log N) 2) 1/3) 10.079 * [taylor]: Taking taylor expansion of (pow (pow (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 2) 1/3) in N 10.079 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 2)))) in N 10.079 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 2))) in N 10.080 * [taylor]: Taking taylor expansion of 1/3 in N 10.080 * [backup-simplify]: Simplify 1/3 into 1/3 10.080 * [taylor]: Taking taylor expansion of (log (pow (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 2)) in N 10.080 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 2) in N 10.080 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in N 10.080 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p N)) (sqrt (log1p N))) (- (log N))) 10.080 * [taylor]: Taking taylor expansion of (* (sqrt (log1p N)) (sqrt (log1p N))) in N 10.080 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 10.080 * [taylor]: Taking taylor expansion of (log1p N) in N 10.080 * [taylor]: Rewrote expression to (log (+ 1 N)) 10.080 * [taylor]: Taking taylor expansion of (+ 1 N) in N 10.080 * [taylor]: Taking taylor expansion of 1 in N 10.080 * [backup-simplify]: Simplify 1 into 1 10.080 * [taylor]: Taking taylor expansion of N in N 10.080 * [backup-simplify]: Simplify 0 into 0 10.080 * [backup-simplify]: Simplify 1 into 1 10.080 * [backup-simplify]: Simplify (+ 1 0) into 1 10.080 * [backup-simplify]: Simplify (log 1) into 0 10.081 * [backup-simplify]: Simplify (+ 0 1) into 1 10.081 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 10.082 * [backup-simplify]: Simplify (sqrt 0) into 0 10.082 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.082 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 10.082 * [taylor]: Taking taylor expansion of (log1p N) in N 10.082 * [taylor]: Rewrote expression to (log (+ 1 N)) 10.082 * [taylor]: Taking taylor expansion of (+ 1 N) in N 10.082 * [taylor]: Taking taylor expansion of 1 in N 10.082 * [backup-simplify]: Simplify 1 into 1 10.082 * [taylor]: Taking taylor expansion of N in N 10.082 * [backup-simplify]: Simplify 0 into 0 10.083 * [backup-simplify]: Simplify 1 into 1 10.083 * [backup-simplify]: Simplify (+ 1 0) into 1 10.083 * [backup-simplify]: Simplify (log 1) into 0 10.083 * [backup-simplify]: Simplify (+ 0 1) into 1 10.084 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 10.084 * [backup-simplify]: Simplify (sqrt 0) into 0 10.085 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.085 * [taylor]: Taking taylor expansion of (- (log N)) in N 10.085 * [taylor]: Taking taylor expansion of (log N) in N 10.085 * [taylor]: Taking taylor expansion of N in N 10.085 * [backup-simplify]: Simplify 0 into 0 10.085 * [backup-simplify]: Simplify 1 into 1 10.085 * [backup-simplify]: Simplify (log 1) into 0 10.086 * [backup-simplify]: Simplify (* 0 0) into 0 10.086 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 10.086 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 10.086 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 10.086 * [backup-simplify]: Simplify (* (- (log N)) (- (log N))) into (pow (log N) 2) 10.086 * [backup-simplify]: Simplify (log (pow (log N) 2)) into (log (pow (log N) 2)) 10.086 * [backup-simplify]: Simplify (* 1/3 (log (pow (log N) 2))) into (* 1/3 (log (pow (log N) 2))) 10.086 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (log N) 2)))) into (pow (pow (log N) 2) 1/3) 10.086 * [backup-simplify]: Simplify (pow (pow (log N) 2) 1/3) into (pow (pow (log N) 2) 1/3) 10.087 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 10.087 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.088 * [backup-simplify]: Simplify (- 0) into 0 10.088 * [backup-simplify]: Simplify (+ 0 0) into 0 10.088 * [backup-simplify]: Simplify (+ (* (- (log N)) 0) (* 0 (- (log N)))) into 0 10.088 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (log N) 2) 1)))) 1) into 0 10.089 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow (log N) 2)))) into 0 10.089 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log N) 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 10.089 * [backup-simplify]: Simplify 0 into 0 10.090 * [backup-simplify]: Simplify (+ 0 0) into 0 10.091 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 10.093 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.094 * [backup-simplify]: Simplify (+ 0 0) into 0 10.096 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 10.099 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.102 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 10.104 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.105 * [backup-simplify]: Simplify (- 0) into 0 10.106 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 10.107 * [backup-simplify]: Simplify (+ (* (- (log N)) (- +nan.0)) (+ (* 0 0) (* (- +nan.0) (- (log N))))) into (- (* +nan.0 (log N))) 10.108 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (log N) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* +nan.0 (log N)))) 1)) (pow (pow (log N) 2) 1)))) 2) into (/ +nan.0 (log N)) 10.109 * [backup-simplify]: Simplify (+ (* 1/3 (/ +nan.0 (log N))) (+ (* 0 0) (* 0 (log (pow (log N) 2))))) into (- (* +nan.0 (/ 1 (log N)))) 10.110 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log N) 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* +nan.0 (/ 1 (log N)))) 1) 1)))) into (* +nan.0 (pow (/ 1 (log N)) 1/3)) 10.110 * [backup-simplify]: Simplify (* +nan.0 (pow (/ 1 (log N)) 1/3)) into (* +nan.0 (pow (/ 1 (log N)) 1/3)) 10.110 * [backup-simplify]: Simplify (+ 0 0) into 0 10.116 * [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 10.120 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.120 * [backup-simplify]: Simplify (+ 0 0) into 0 10.126 * [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 10.130 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.134 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 10.139 * [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 10.139 * [backup-simplify]: Simplify (- 0) into 0 10.140 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 10.143 * [backup-simplify]: Simplify (+ (* (- (log N)) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* (- +nan.0) 0) (* (- +nan.0) (- (log N)))))) into (- (* +nan.0 (log N))) 10.145 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (log N) 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* +nan.0 (log N)))) 1)) (pow (pow (log N) 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* +nan.0 (log N)))) 1)) (pow (pow (log N) 2) 1)))) 6) into (/ +nan.0 (log N)) 10.145 * [backup-simplify]: Simplify (+ (* 1/3 (/ +nan.0 (log N))) (+ (* 0 (/ +nan.0 (log N))) (+ (* 0 0) (* 0 (log (pow (log N) 2)))))) into (- (* +nan.0 (/ 1 (log N)))) 10.147 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (log N) 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* +nan.0 (/ 1 (log N)))) 1) 1)) (* (/ (pow (- (* +nan.0 (/ 1 (log N)))) 1) 1)))) into (* +nan.0 (pow (/ 1 (log N)) 1/3)) 10.147 * [backup-simplify]: Simplify (* +nan.0 (pow (/ 1 (log N)) 1/3)) into (* +nan.0 (pow (/ 1 (log N)) 1/3)) 10.148 * [backup-simplify]: Simplify (+ (* (* +nan.0 (pow (/ 1 (log N)) 1/3)) (pow N 3)) (+ (* (* +nan.0 (pow (/ 1 (log N)) 1/3)) (pow N 2)) (pow (pow (log N) 2) 1/3))) into (- (pow (pow (log N) 2) 1/3) (+ (* +nan.0 (* (pow (/ 1 (log N)) 1/3) (pow N 3))) (- (* +nan.0 (* (pow (/ 1 (log N)) 1/3) (pow N 2)))))) 10.148 * [backup-simplify]: Simplify (log (exp (* (cbrt (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N))))) (cbrt (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))))))) into (pow (pow (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 2) 1/3) 10.148 * [approximate]: Taking taylor expansion of (pow (pow (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 2) 1/3) in (N) around 0 10.148 * [taylor]: Taking taylor expansion of (pow (pow (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 2) 1/3) in N 10.148 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 2)))) in N 10.148 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 2))) in N 10.148 * [taylor]: Taking taylor expansion of 1/3 in N 10.148 * [backup-simplify]: Simplify 1/3 into 1/3 10.148 * [taylor]: Taking taylor expansion of (log (pow (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 2)) in N 10.148 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 2) in N 10.148 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in N 10.149 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) (- (log (/ 1 N)))) 10.149 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) in N 10.149 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 10.149 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 10.149 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 10.149 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 10.149 * [taylor]: Taking taylor expansion of 1 in N 10.149 * [backup-simplify]: Simplify 1 into 1 10.149 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.149 * [taylor]: Taking taylor expansion of N in N 10.149 * [backup-simplify]: Simplify 0 into 0 10.149 * [backup-simplify]: Simplify 1 into 1 10.149 * [backup-simplify]: Simplify (/ 1 1) into 1 10.150 * [backup-simplify]: Simplify (+ 0 1) into 1 10.150 * [backup-simplify]: Simplify (log 1) into 0 10.151 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.151 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.151 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 10.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.152 * [backup-simplify]: Simplify (+ 1 0) into 1 10.154 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 10.154 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.154 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 10.154 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 10.154 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 10.154 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 10.154 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 10.154 * [taylor]: Taking taylor expansion of 1 in N 10.154 * [backup-simplify]: Simplify 1 into 1 10.154 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.154 * [taylor]: Taking taylor expansion of N in N 10.154 * [backup-simplify]: Simplify 0 into 0 10.154 * [backup-simplify]: Simplify 1 into 1 10.155 * [backup-simplify]: Simplify (/ 1 1) into 1 10.155 * [backup-simplify]: Simplify (+ 0 1) into 1 10.156 * [backup-simplify]: Simplify (log 1) into 0 10.156 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.156 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.157 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 10.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.158 * [backup-simplify]: Simplify (+ 1 0) into 1 10.159 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 10.159 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.160 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 10.160 * [taylor]: Taking taylor expansion of (- (log (/ 1 N))) in N 10.160 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 10.160 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.160 * [taylor]: Taking taylor expansion of N in N 10.160 * [backup-simplify]: Simplify 0 into 0 10.160 * [backup-simplify]: Simplify 1 into 1 10.160 * [backup-simplify]: Simplify (/ 1 1) into 1 10.160 * [backup-simplify]: Simplify (log 1) into 0 10.161 * [backup-simplify]: Simplify (* (sqrt (- (log N))) (sqrt (- (log N)))) into (pow (sqrt (- (log N))) 2) 10.161 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.161 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 10.161 * [backup-simplify]: Simplify (+ (pow (sqrt (- (log N))) 2) (log N)) into (+ (pow (sqrt (- (log N))) 2) (log N)) 10.162 * [backup-simplify]: Simplify (* (+ (pow (sqrt (- (log N))) 2) (log N)) (+ (pow (sqrt (- (log N))) 2) (log N))) into (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 10.162 * [backup-simplify]: Simplify (log (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)) into (log (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)) 10.162 * [backup-simplify]: Simplify (* 1/3 (log (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) into (* 1/3 (log (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) 10.162 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)))) into (pow (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 1/3) 10.162 * [taylor]: Taking taylor expansion of (pow (pow (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 2) 1/3) in N 10.162 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 2)))) in N 10.162 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 2))) in N 10.162 * [taylor]: Taking taylor expansion of 1/3 in N 10.162 * [backup-simplify]: Simplify 1/3 into 1/3 10.162 * [taylor]: Taking taylor expansion of (log (pow (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 2)) in N 10.162 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) 2) in N 10.162 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in N 10.163 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) (- (log (/ 1 N)))) 10.163 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) in N 10.163 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 10.163 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 10.163 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 10.163 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 10.163 * [taylor]: Taking taylor expansion of 1 in N 10.163 * [backup-simplify]: Simplify 1 into 1 10.163 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.163 * [taylor]: Taking taylor expansion of N in N 10.163 * [backup-simplify]: Simplify 0 into 0 10.163 * [backup-simplify]: Simplify 1 into 1 10.163 * [backup-simplify]: Simplify (/ 1 1) into 1 10.164 * [backup-simplify]: Simplify (+ 0 1) into 1 10.164 * [backup-simplify]: Simplify (log 1) into 0 10.164 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.165 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.165 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 10.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.166 * [backup-simplify]: Simplify (+ 1 0) into 1 10.167 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 10.168 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.168 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 10.168 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 10.168 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 10.168 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 10.168 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 10.168 * [taylor]: Taking taylor expansion of 1 in N 10.168 * [backup-simplify]: Simplify 1 into 1 10.168 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.168 * [taylor]: Taking taylor expansion of N in N 10.168 * [backup-simplify]: Simplify 0 into 0 10.168 * [backup-simplify]: Simplify 1 into 1 10.169 * [backup-simplify]: Simplify (/ 1 1) into 1 10.169 * [backup-simplify]: Simplify (+ 0 1) into 1 10.169 * [backup-simplify]: Simplify (log 1) into 0 10.170 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.170 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.170 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 10.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.172 * [backup-simplify]: Simplify (+ 1 0) into 1 10.173 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 10.173 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.174 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 10.174 * [taylor]: Taking taylor expansion of (- (log (/ 1 N))) in N 10.174 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 10.174 * [taylor]: Taking taylor expansion of (/ 1 N) in N 10.174 * [taylor]: Taking taylor expansion of N in N 10.174 * [backup-simplify]: Simplify 0 into 0 10.174 * [backup-simplify]: Simplify 1 into 1 10.174 * [backup-simplify]: Simplify (/ 1 1) into 1 10.174 * [backup-simplify]: Simplify (log 1) into 0 10.175 * [backup-simplify]: Simplify (* (sqrt (- (log N))) (sqrt (- (log N)))) into (pow (sqrt (- (log N))) 2) 10.175 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 10.175 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 10.175 * [backup-simplify]: Simplify (+ (pow (sqrt (- (log N))) 2) (log N)) into (+ (pow (sqrt (- (log N))) 2) (log N)) 10.176 * [backup-simplify]: Simplify (* (+ (pow (sqrt (- (log N))) 2) (log N)) (+ (pow (sqrt (- (log N))) 2) (log N))) into (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 10.176 * [backup-simplify]: Simplify (log (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)) into (log (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)) 10.176 * [backup-simplify]: Simplify (* 1/3 (log (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) into (* 1/3 (log (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) 10.176 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)))) into (pow (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 1/3) 10.176 * [backup-simplify]: Simplify (pow (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 1/3) into (pow (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 1/3) 10.177 * [backup-simplify]: Simplify (+ (* (sqrt (- (log N))) (/ 1/2 (sqrt (- (log N))))) (* (/ 1/2 (sqrt (- (log N)))) (sqrt (- (log N))))) into 1 10.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.179 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.179 * [backup-simplify]: Simplify (- 0) into 0 10.180 * [backup-simplify]: Simplify (+ 1 0) into 1 10.180 * [backup-simplify]: Simplify (+ (* (+ (pow (sqrt (- (log N))) 2) (log N)) 1) (* 1 (+ (pow (sqrt (- (log N))) 2) (log N)))) into (+ (* 2 (pow (sqrt (- (log N))) 2)) (* 2 (log N))) 10.181 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ (* 2 (pow (sqrt (- (log N))) 2)) (* 2 (log N)))) 1)) (pow (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 1)))) 1) into (+ (* 2 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (* 2 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)))) 10.182 * [backup-simplify]: Simplify (+ (* 1/3 (+ (* 2 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (* 2 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))))) (* 0 (log (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)))) into (+ (* 2/3 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (* 2/3 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)))) 10.183 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)))) (+ (* (/ (pow (+ (* 2/3 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (* 2/3 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)))) 1) 1)))) into (* (+ (* 2/3 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (* 2/3 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)))) (pow (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 1/3)) 10.184 * [backup-simplify]: Simplify (* (+ (* 2/3 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (* 2/3 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)))) (pow (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 1/3)) into (* (+ (* 2/3 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (* 2/3 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)))) (pow (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 1/3)) 10.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.186 * [backup-simplify]: Simplify (+ 0 0) into 0 10.190 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 10.191 * [backup-simplify]: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 10.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.193 * [backup-simplify]: Simplify (+ 0 0) into 0 10.196 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 10.197 * [backup-simplify]: Simplify (/ (- -1/2 (pow (/ 1/2 (sqrt (- (log N)))) 2) (+)) (* 2 (sqrt (- (log N))))) into (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) 10.198 * [backup-simplify]: Simplify (+ (* (sqrt (- (log N))) (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N)))))) (+ (* (/ 1/2 (sqrt (- (log N)))) (/ 1/2 (sqrt (- (log N))))) (* (* -1/2 (/ (+ 1/2 (* 1/4 (/ 1 (pow (sqrt (- (log N))) 2)))) (sqrt (- (log N))))) (sqrt (- (log N)))))) into (- 1/2) 10.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.202 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.202 * [backup-simplify]: Simplify (- 0) into 0 10.203 * [backup-simplify]: Simplify (+ (- 1/2) 0) into -1/2 10.204 * [backup-simplify]: Simplify (+ (* (+ (pow (sqrt (- (log N))) 2) (log N)) -1/2) (+ (* 1 1) (* -1/2 (+ (pow (sqrt (- (log N))) 2) (log N))))) into (- 1 (+ (pow (sqrt (- (log N))) 2) (log N))) 10.205 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ (* 2 (pow (sqrt (- (log N))) 2)) (* 2 (log N)))) 2)) (pow (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (- 1 (+ (pow (sqrt (- (log N))) 2) (log N)))) 1)) (pow (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 1)))) 2) into (* 1/2 (- (* 2 (/ 1 (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 2 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 8 (/ (* (log N) (pow (sqrt (- (log N))) 2)) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))) (+ (* 2 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 4 (/ (pow (sqrt (- (log N))) 4) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))) (* 4 (/ (pow (log N) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))))))))) 10.208 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- (* 2 (/ 1 (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 2 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 8 (/ (* (log N) (pow (sqrt (- (log N))) 2)) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))) (+ (* 2 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 4 (/ (pow (sqrt (- (log N))) 4) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))) (* 4 (/ (pow (log N) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4)))))))))) (+ (* 0 (+ (* 2 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (* 2 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))))) (* 0 (log (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))))) into (- (* 1/3 (/ 1 (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 1/3 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 4/3 (/ (* (log N) (pow (sqrt (- (log N))) 2)) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))) (+ (* 2/3 (/ (pow (log N) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))) (+ (* 1/3 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (* 2/3 (/ (pow (sqrt (- (log N))) 4) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4)))))))) 10.211 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)))) (+ (* (/ (pow (+ (* 2/3 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (* 2/3 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2)))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 1/3 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 4/3 (/ (* (log N) (pow (sqrt (- (log N))) 2)) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))) (+ (* 2/3 (/ (pow (log N) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))) (+ (* 1/3 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (* 2/3 (/ (pow (sqrt (- (log N))) 4) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4)))))))) 1) 1)))) into (* (pow (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 1/3) (- (* 1/3 (/ 1 (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 1/3 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 8/9 (/ (* (log N) (pow (sqrt (- (log N))) 2)) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))) (+ (* 1/3 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 4/9 (/ (pow (sqrt (- (log N))) 4) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))) (* 4/9 (/ (pow (log N) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))))))))) 10.213 * [backup-simplify]: Simplify (* (pow (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 1/3) (- (* 1/3 (/ 1 (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 1/3 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 8/9 (/ (* (log N) (pow (sqrt (- (log N))) 2)) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))) (+ (* 1/3 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 4/9 (/ (pow (sqrt (- (log N))) 4) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))) (* 4/9 (/ (pow (log N) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))))))))) into (* (pow (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2) 1/3) (- (* 1/3 (/ 1 (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 1/3 (/ (log N) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (+ (* 4/9 (/ (pow (sqrt (- (log N))) 4) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))) (+ (* 8/9 (/ (* (log N) (pow (sqrt (- (log N))) 2)) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))) (+ (* 1/3 (/ (pow (sqrt (- (log N))) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 2))) (* 4/9 (/ (pow (log N) 2) (pow (+ (pow (sqrt (- (log N))) 2) (log N)) 4))))))))) 10.217 * [backup-simplify]: Simplify (+ (* (* (pow (pow (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))) 2) 1/3) (- (* 1/3 (/ 1 (pow (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))) 2))) (+ (* 1/3 (/ (log (/ 1 N)) (pow (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))) 2))) (+ (* 4/9 (/ (pow (sqrt (- (log (/ 1 N)))) 4) (pow (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))) 4))) (+ (* 8/9 (/ (* (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) (pow (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))) 4))) (+ (* 1/3 (/ (pow (sqrt (- (log (/ 1 N)))) 2) (pow (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))) 2))) (* 4/9 (/ (pow (log (/ 1 N)) 2) (pow (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))) 4))))))))) (pow (/ 1 N) 2)) (+ (* (* (+ (* 2/3 (/ (log (/ 1 N)) (pow (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))) 2))) (* 2/3 (/ (pow (sqrt (- (log (/ 1 N)))) 2) (pow (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))) 2)))) (pow (pow (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))) 2) 1/3)) (/ 1 N)) (pow (pow (+ (pow (sqrt (- (log (/ 1 N)))) 2) (log (/ 1 N))) 2) 1/3))) into (- (+ (* 2/3 (* (/ (log (/ 1 N)) N) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 4)) 1/3))) (+ (pow (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 2) 1/3) (+ (* 2/3 (* (/ (pow (sqrt (- (log (/ 1 N)))) 2) N) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 4)) 1/3))) (* 1/3 (* (/ 1 (pow N 2)) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 4)) 1/3)))))) (+ (* 4/9 (* (/ (pow (log (/ 1 N)) 2) (pow N 2)) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 10)) 1/3))) (+ (* 4/9 (* (/ (pow (sqrt (- (log (/ 1 N)))) 4) (pow N 2)) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 10)) 1/3))) (+ (* 1/3 (* (/ (pow (sqrt (- (log (/ 1 N)))) 2) (pow N 2)) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 4)) 1/3))) (+ (* 1/3 (* (/ (log (/ 1 N)) (pow N 2)) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 4)) 1/3))) (* 8/9 (* (/ (* (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) (pow N 2)) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 10)) 1/3)))))))) 10.217 * [backup-simplify]: Simplify (log (exp (* (cbrt (fma (sqrt (log1p (/ 1 (- N)))) (sqrt (log1p (/ 1 (- N)))) (- (log (/ 1 (- N)))))) (cbrt (fma (sqrt (log1p (/ 1 (- N)))) (sqrt (log1p (/ 1 (- N)))) (- (log (/ 1 (- N))))))))) into (pow (pow (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 2) 1/3) 10.217 * [approximate]: Taking taylor expansion of (pow (pow (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 2) 1/3) in (N) around 0 10.217 * [taylor]: Taking taylor expansion of (pow (pow (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 2) 1/3) in N 10.217 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 2)))) in N 10.217 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 2))) in N 10.217 * [taylor]: Taking taylor expansion of 1/3 in N 10.217 * [backup-simplify]: Simplify 1/3 into 1/3 10.217 * [taylor]: Taking taylor expansion of (log (pow (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 2)) in N 10.217 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 2) in N 10.217 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in N 10.218 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) (- (log (/ -1 N)))) 10.218 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) in N 10.218 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 10.218 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 10.218 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 10.218 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 10.218 * [taylor]: Taking taylor expansion of 1 in N 10.218 * [backup-simplify]: Simplify 1 into 1 10.218 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.218 * [taylor]: Taking taylor expansion of -1 in N 10.218 * [backup-simplify]: Simplify -1 into -1 10.218 * [taylor]: Taking taylor expansion of N in N 10.218 * [backup-simplify]: Simplify 0 into 0 10.218 * [backup-simplify]: Simplify 1 into 1 10.218 * [backup-simplify]: Simplify (/ -1 1) into -1 10.218 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.219 * [backup-simplify]: Simplify (log -1) into (log -1) 10.219 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.220 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.220 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 10.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.221 * [backup-simplify]: Simplify (+ 1 0) into 1 10.222 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 10.222 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.222 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 10.222 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 10.222 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 10.222 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 10.222 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 10.222 * [taylor]: Taking taylor expansion of 1 in N 10.222 * [backup-simplify]: Simplify 1 into 1 10.222 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.222 * [taylor]: Taking taylor expansion of -1 in N 10.223 * [backup-simplify]: Simplify -1 into -1 10.223 * [taylor]: Taking taylor expansion of N in N 10.223 * [backup-simplify]: Simplify 0 into 0 10.223 * [backup-simplify]: Simplify 1 into 1 10.223 * [backup-simplify]: Simplify (/ -1 1) into -1 10.223 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.223 * [backup-simplify]: Simplify (log -1) into (log -1) 10.224 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.224 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.225 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 10.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.225 * [backup-simplify]: Simplify (+ 1 0) into 1 10.226 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 10.227 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.227 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 10.227 * [taylor]: Taking taylor expansion of (- (log (/ -1 N))) in N 10.227 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 10.227 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.227 * [taylor]: Taking taylor expansion of -1 in N 10.227 * [backup-simplify]: Simplify -1 into -1 10.227 * [taylor]: Taking taylor expansion of N in N 10.227 * [backup-simplify]: Simplify 0 into 0 10.227 * [backup-simplify]: Simplify 1 into 1 10.227 * [backup-simplify]: Simplify (/ -1 1) into -1 10.228 * [backup-simplify]: Simplify (log -1) into (log -1) 10.228 * [backup-simplify]: Simplify (* (sqrt (- (log -1) (log N))) (sqrt (- (log -1) (log N)))) into (- (log -1) (log N)) 10.229 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.229 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 10.230 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 10.231 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (sqrt (- (log -1) (log N))))) into (- 1) 10.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.232 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 10.232 * [backup-simplify]: Simplify (- 0) into 0 10.233 * [backup-simplify]: Simplify (+ (- 1) 0) into -1 10.233 * [backup-simplify]: Simplify (* -1 -1) into 1 10.233 * [backup-simplify]: Simplify (log 1) into 0 10.233 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 10.233 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 10.233 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 10.233 * [taylor]: Taking taylor expansion of (pow (pow (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 2) 1/3) in N 10.233 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 2)))) in N 10.233 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 2))) in N 10.234 * [taylor]: Taking taylor expansion of 1/3 in N 10.234 * [backup-simplify]: Simplify 1/3 into 1/3 10.234 * [taylor]: Taking taylor expansion of (log (pow (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 2)) in N 10.234 * [taylor]: Taking taylor expansion of (pow (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) 2) in N 10.234 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in N 10.234 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) (- (log (/ -1 N)))) 10.234 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) in N 10.234 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 10.234 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 10.234 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 10.234 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 10.234 * [taylor]: Taking taylor expansion of 1 in N 10.234 * [backup-simplify]: Simplify 1 into 1 10.234 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.234 * [taylor]: Taking taylor expansion of -1 in N 10.234 * [backup-simplify]: Simplify -1 into -1 10.234 * [taylor]: Taking taylor expansion of N in N 10.234 * [backup-simplify]: Simplify 0 into 0 10.234 * [backup-simplify]: Simplify 1 into 1 10.234 * [backup-simplify]: Simplify (/ -1 1) into -1 10.234 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.235 * [backup-simplify]: Simplify (log -1) into (log -1) 10.235 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.236 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.237 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 10.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.238 * [backup-simplify]: Simplify (+ 1 0) into 1 10.239 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 10.240 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.241 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 10.241 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 10.241 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 10.241 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 10.241 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 10.241 * [taylor]: Taking taylor expansion of 1 in N 10.241 * [backup-simplify]: Simplify 1 into 1 10.241 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.241 * [taylor]: Taking taylor expansion of -1 in N 10.241 * [backup-simplify]: Simplify -1 into -1 10.241 * [taylor]: Taking taylor expansion of N in N 10.241 * [backup-simplify]: Simplify 0 into 0 10.241 * [backup-simplify]: Simplify 1 into 1 10.241 * [backup-simplify]: Simplify (/ -1 1) into -1 10.242 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.242 * [backup-simplify]: Simplify (log -1) into (log -1) 10.243 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.244 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.244 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 10.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.245 * [backup-simplify]: Simplify (+ 1 0) into 1 10.247 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 10.247 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.248 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 10.248 * [taylor]: Taking taylor expansion of (- (log (/ -1 N))) in N 10.248 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 10.248 * [taylor]: Taking taylor expansion of (/ -1 N) in N 10.248 * [taylor]: Taking taylor expansion of -1 in N 10.248 * [backup-simplify]: Simplify -1 into -1 10.248 * [taylor]: Taking taylor expansion of N in N 10.248 * [backup-simplify]: Simplify 0 into 0 10.248 * [backup-simplify]: Simplify 1 into 1 10.249 * [backup-simplify]: Simplify (/ -1 1) into -1 10.249 * [backup-simplify]: Simplify (log -1) into (log -1) 10.250 * [backup-simplify]: Simplify (* (sqrt (- (log -1) (log N))) (sqrt (- (log -1) (log N)))) into (- (log -1) (log N)) 10.250 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 10.251 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 10.251 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 10.253 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (sqrt (- (log -1) (log N))))) into (- 1) 10.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.254 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 10.254 * [backup-simplify]: Simplify (- 0) into 0 10.254 * [backup-simplify]: Simplify (+ (- 1) 0) into -1 10.255 * [backup-simplify]: Simplify (* -1 -1) into 1 10.255 * [backup-simplify]: Simplify (log 1) into 0 10.255 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 10.255 * [backup-simplify]: Simplify (* 1/3 (* 2 (log N))) into (* 2/3 (log N)) 10.255 * [backup-simplify]: Simplify (exp (* 2/3 (log N))) into (pow N 2/3) 10.255 * [backup-simplify]: Simplify (pow N 2/3) into (pow N 2/3) 10.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.256 * [backup-simplify]: Simplify (+ 0 0) into 0 10.258 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 10.259 * [backup-simplify]: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) 10.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.260 * [backup-simplify]: Simplify (+ 0 0) into 0 10.261 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 10.262 * [backup-simplify]: Simplify (/ (- -1/2 (pow (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 2) (+)) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) 10.264 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) (sqrt (- (log -1) (log N)))))) into (- 1/2) 10.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.267 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 10.267 * [backup-simplify]: Simplify (- 0) into 0 10.267 * [backup-simplify]: Simplify (+ (- 1/2) 0) into -1/2 10.268 * [backup-simplify]: Simplify (+ (* -1 -1/2) (* -1/2 -1)) into 1 10.268 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 10.269 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 10.269 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 (* 2 (log N)))) into 1/3 10.269 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (pow N 2) 1/3)) 10.270 * [backup-simplify]: Simplify (* 1/3 (pow (pow N 2) 1/3)) into (* 1/3 (pow (pow N 2) 1/3)) 10.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.270 * [backup-simplify]: Simplify (+ 0 0) into 0 10.274 * [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 10.275 * [backup-simplify]: Simplify (/ (- -1/3 (+ (* 2 (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))))))) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) 10.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.276 * [backup-simplify]: Simplify (+ 0 0) into 0 10.280 * [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 10.282 * [backup-simplify]: Simplify (/ (- -1/3 (+ (* 2 (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))))))) (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) 10.289 * [backup-simplify]: Simplify (+ (* (sqrt (- (log -1) (log N))) (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N))))))) (+ (* (* -1/2 (* (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/2) (sqrt (/ 1 (- (log -1) (log N)))))) (* -1/2 (sqrt (/ 1 (- (log -1) (log N)))))) (* (* -1/2 (* (+ (* 1/8 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/4 (/ 1 (- (log -1) (log N)))) 1/3)) (sqrt (/ 1 (- (log -1) (log N)))))) (sqrt (- (log -1) (log N))))))) into (- 1/3) 10.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.298 * [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 10.298 * [backup-simplify]: Simplify (- 0) into 0 10.299 * [backup-simplify]: Simplify (+ (- 1/3) 0) into -1/3 10.300 * [backup-simplify]: Simplify (+ (* -1 -1/3) (+ (* -1/2 -1/2) (* -1/3 -1))) into 11/12 10.303 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 11/12) 1)) (pow 1 1)))) 2) into 5/12 10.304 * [backup-simplify]: Simplify (+ (* (- -2) (log N)) 0) into (* 2 (log N)) 10.305 * [backup-simplify]: Simplify (+ (* 1/3 5/12) (+ (* 0 1) (* 0 (* 2 (log N))))) into 5/36 10.306 * [backup-simplify]: Simplify (* (exp (* 2/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow 5/36 1) 1)))) into (* 7/36 (pow (pow N 2) 1/3)) 10.306 * [backup-simplify]: Simplify (* 7/36 (pow (pow N 2) 1/3)) into (* 7/36 (pow (pow N 2) 1/3)) 10.307 * [backup-simplify]: Simplify (+ (* (* 7/36 (pow (pow (/ 1 (- N)) 2) 1/3)) (pow (/ 1 (- N)) 2)) (+ (* (* 1/3 (pow (pow (/ 1 (- N)) 2) 1/3)) (/ 1 (- N))) (pow (/ 1 (- N)) 2/3))) into (- (+ (* 7/36 (pow (/ 1 (pow N 8)) 1/3)) (pow (/ -1 N) 2/3)) (* 1/3 (pow (/ 1 (pow N 5)) 1/3))) 10.307 * * * [progress]: simplifying candidates 10.307 * * * * [progress]: [ 1 / 62 ] simplifiying candidate # 10.307 * * * * [progress]: [ 2 / 62 ] simplifiying candidate # 10.307 * * * * [progress]: [ 3 / 62 ] simplifiying candidate # 10.307 * * * * [progress]: [ 4 / 62 ] simplifiying candidate # 10.307 * * * * [progress]: [ 5 / 62 ] simplifiying candidate # 10.308 * * * * [progress]: [ 6 / 62 ] simplifiying candidate # 10.308 * * * * [progress]: [ 7 / 62 ] simplifiying candidate # 10.308 * * * * [progress]: [ 8 / 62 ] simplifiying candidate # 10.308 * * * * [progress]: [ 9 / 62 ] simplifiying candidate # 10.308 * * * * [progress]: [ 10 / 62 ] simplifiying candidate # 10.308 * * * * [progress]: [ 11 / 62 ] simplifiying candidate #real (real->posit16 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))))> 10.308 * * * * [progress]: [ 12 / 62 ] simplifiying candidate # 10.308 * * * * [progress]: [ 13 / 62 ] simplifiying candidate # 10.308 * * * * [progress]: [ 14 / 62 ] simplifiying candidate # 10.308 * * * * [progress]: [ 15 / 62 ] simplifiying candidate # 10.308 * * * * [progress]: [ 16 / 62 ] simplifiying candidate # 10.308 * * * * [progress]: [ 17 / 62 ] simplifiying candidate # 10.308 * * * * [progress]: [ 18 / 62 ] simplifiying candidate # 10.308 * * * * [progress]: [ 19 / 62 ] simplifiying candidate # 10.309 * * * * [progress]: [ 20 / 62 ] simplifiying candidate # 10.309 * * * * [progress]: [ 21 / 62 ] simplifiying candidate # 10.309 * * * * [progress]: [ 22 / 62 ] simplifiying candidate #real (real->posit16 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))> 10.309 * * * * [progress]: [ 23 / 62 ] simplifiying candidate # 10.309 * * * * [progress]: [ 24 / 62 ] simplifiying candidate # 10.309 * * * * [progress]: [ 25 / 62 ] simplifiying candidate # 10.309 * * * * [progress]: [ 26 / 62 ] simplifiying candidate # 10.309 * * * * [progress]: [ 27 / 62 ] simplifiying candidate # 10.309 * * * * [progress]: [ 28 / 62 ] simplifiying candidate # 10.309 * * * * [progress]: [ 29 / 62 ] simplifiying candidate # 10.309 * * * * [progress]: [ 30 / 62 ] simplifiying candidate # 10.309 * * * * [progress]: [ 31 / 62 ] simplifiying candidate # 10.309 * * * * [progress]: [ 32 / 62 ] simplifiying candidate # 10.309 * * * * [progress]: [ 33 / 62 ] simplifiying candidate #real (real->posit16 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))> 10.309 * * * * [progress]: [ 34 / 62 ] simplifiying candidate # 10.310 * * * * [progress]: [ 35 / 62 ] simplifiying candidate # 10.310 * * * * [progress]: [ 36 / 62 ] simplifiying candidate # 10.310 * * * * [progress]: [ 37 / 62 ] simplifiying candidate # 10.310 * * * * [progress]: [ 38 / 62 ] simplifiying candidate # 10.310 * * * * [progress]: [ 39 / 62 ] simplifiying candidate # 10.310 * * * * [progress]: [ 40 / 62 ] simplifiying candidate # 10.310 * * * * [progress]: [ 41 / 62 ] simplifiying candidate # 10.310 * * * * [progress]: [ 42 / 62 ] simplifiying candidate # 10.310 * * * * [progress]: [ 43 / 62 ] simplifiying candidate # 10.310 * * * * [progress]: [ 44 / 62 ] simplifiying candidate # 10.310 * * * * [progress]: [ 45 / 62 ] simplifiying candidate # 10.310 * * * * [progress]: [ 46 / 62 ] simplifiying candidate # 10.310 * * * * [progress]: [ 47 / 62 ] simplifiying candidate # 10.310 * * * * [progress]: [ 48 / 62 ] simplifiying candidate # 10.311 * * * * [progress]: [ 49 / 62 ] simplifiying candidate # 10.311 * * * * [progress]: [ 50 / 62 ] simplifiying candidate #real (real->posit16 (log (exp (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))> 10.311 * * * * [progress]: [ 51 / 62 ] simplifiying candidate # 10.311 * * * * [progress]: [ 52 / 62 ] simplifiying candidate # 10.311 * * * * [progress]: [ 53 / 62 ] simplifiying candidate # 10.311 * * * * [progress]: [ 54 / 62 ] simplifiying candidate # 10.311 * * * * [progress]: [ 55 / 62 ] simplifiying candidate # 10.311 * * * * [progress]: [ 56 / 62 ] simplifiying candidate # 10.311 * * * * [progress]: [ 57 / 62 ] simplifiying candidate # 10.311 * * * * [progress]: [ 58 / 62 ] simplifiying candidate # 10.311 * * * * [progress]: [ 59 / 62 ] simplifiying candidate # 10.311 * * * * [progress]: [ 60 / 62 ] simplifiying candidate # 10.311 * * * * [progress]: [ 61 / 62 ] simplifiying candidate # 10.312 * * * * [progress]: [ 62 / 62 ] simplifiying candidate # 10.313 * [simplify]: Simplifying: (expm1 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (log1p (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (* (sqrt (log1p N)) (sqrt (log1p N))) (log (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (exp (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (* (* (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (real->posit16 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (expm1 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (log1p (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (* (sqrt (log1p N)) (sqrt (log1p N))) (log (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (exp (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (* (* (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (real->posit16 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (expm1 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (log1p (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (* (sqrt (log1p N)) (sqrt (log1p N))) (log (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (exp (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (* (* (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (sqrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (real->posit16 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (expm1 (log (exp (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))))) (log1p (log (exp (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))))) (log (* (cbrt (exp (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))) (cbrt (exp (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))))) (log (cbrt (exp (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))))) (log (sqrt (exp (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))))) (log (sqrt (exp (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))))) (log 1) (log (exp (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))) (log (exp (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (log (exp (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))) (log (exp (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))) (log (log (exp (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))))) (exp (log (exp (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))))) (* (cbrt (log (exp (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))))) (cbrt (log (exp (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))))) (cbrt (log (exp (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))))) (* (* (log (exp (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))) (log (exp (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))))) (log (exp (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))))) (sqrt (log (exp (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))))) (sqrt (log (exp (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))))) (real->posit16 (log (exp (* (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))) (cbrt (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N)))))))) (- (+ (* +nan.0 (pow N 2)) (- (log N) (* +nan.0 (pow N 3))))) (- (+ (log (/ 1 N)) (+ (/ 1 N) (pow (sqrt (- (log (/ 1 N)))) 2))) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* +nan.0 (pow N 2)) (- (log N) (* +nan.0 (pow N 3))))) (- (+ (log (/ 1 N)) (+ (/ 1 N) (pow (sqrt (- (log (/ 1 N)))) 2))) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* +nan.0 (pow N 2)) (- (log N) (* +nan.0 (pow N 3))))) (- (+ (log (/ 1 N)) (+ (/ 1 N) (pow (sqrt (- (log (/ 1 N)))) 2))) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (pow (pow (log N) 2) 1/3) (+ (* +nan.0 (* (pow (/ 1 (log N)) 1/3) (pow N 3))) (- (* +nan.0 (* (pow (/ 1 (log N)) 1/3) (pow N 2)))))) (- (+ (* 2/3 (* (/ (log (/ 1 N)) N) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 4)) 1/3))) (+ (pow (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 2) 1/3) (+ (* 2/3 (* (/ (pow (sqrt (- (log (/ 1 N)))) 2) N) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 4)) 1/3))) (* 1/3 (* (/ 1 (pow N 2)) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 4)) 1/3)))))) (+ (* 4/9 (* (/ (pow (log (/ 1 N)) 2) (pow N 2)) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 10)) 1/3))) (+ (* 4/9 (* (/ (pow (sqrt (- (log (/ 1 N)))) 4) (pow N 2)) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 10)) 1/3))) (+ (* 1/3 (* (/ (pow (sqrt (- (log (/ 1 N)))) 2) (pow N 2)) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 4)) 1/3))) (+ (* 1/3 (* (/ (log (/ 1 N)) (pow N 2)) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 4)) 1/3))) (* 8/9 (* (/ (* (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) (pow N 2)) (pow (/ 1 (pow (+ (log (/ 1 N)) (pow (sqrt (- (log (/ 1 N)))) 2)) 10)) 1/3)))))))) (- (+ (* 7/36 (pow (/ 1 (pow N 8)) 1/3)) (pow (/ -1 N) 2/3)) (* 1/3 (pow (/ 1 (pow N 5)) 1/3))) 10.316 * * [simplify]: iteration 1: (140 enodes) 10.384 * * [simplify]: iteration 2: (346 enodes) 10.669 * * [simplify]: iteration 3: (1135 enodes) 12.656 * * [simplify]: Extracting #0: cost 29 inf + 0 12.656 * * [simplify]: Extracting #1: cost 226 inf + 1 12.659 * * [simplify]: Extracting #2: cost 635 inf + 296 12.665 * * [simplify]: Extracting #3: cost 831 inf + 14468 12.687 * * [simplify]: Extracting #4: cost 475 inf + 131779 12.768 * * [simplify]: Extracting #5: cost 135 inf + 301667 12.915 * * [simplify]: Extracting #6: cost 26 inf + 358901 13.055 * * [simplify]: Extracting #7: cost 2 inf + 370079 13.190 * * [simplify]: Extracting #8: cost 0 inf + 370745 13.314 * [simplify]: Simplified to: (expm1 (- (log1p N) (log N))) (log1p (- (log1p N) (log N))) (log1p N) (log (- (log1p N) (log N))) (* (exp (log1p N)) (/ 1 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))) (real->posit16 (- (log1p N) (log N))) (expm1 (- (log1p N) (log N))) (log1p (- (log1p N) (log N))) (log1p N) (log (- (log1p N) (log N))) (* (exp (log1p N)) (/ 1 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))) (real->posit16 (- (log1p N) (log N))) (expm1 (- (log1p N) (log N))) (log1p (- (log1p N) (log N))) (log1p N) (log (- (log1p N) (log N))) (* (exp (log1p N)) (/ 1 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))) (real->posit16 (- (log1p N) (log N))) (expm1 (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N))))) (log1p (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N))))) (log (* (cbrt (exp (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))))) (cbrt (exp (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))))))) (log (cbrt (exp (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N))))))) (log (sqrt (exp (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N))))))) (log (sqrt (exp (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N))))))) 0 (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) (cbrt (- (log1p N) (log N))) (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) (cbrt (- (log1p N) (log N))) (+ (log (cbrt (- (log1p N) (log N)))) (log (cbrt (- (log1p N) (log N))))) (exp (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N))))) (* (cbrt (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N))))) (cbrt (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))))) (cbrt (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N))))) (* (* (cbrt (- (log1p N) (log N))) (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N))))) (* (cbrt (- (log1p N) (log N))) (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))))) (fabs (cbrt (- (log1p N) (log N)))) (fabs (cbrt (- (log1p N) (log N)))) (real->posit16 (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N))))) (- (- (log N) (* +nan.0 (- (* N (* N N)) (* N N))))) (fma (/ (/ 1 N) N) -1/2 (+ (/ 1 N) 0)) (fma (/ (/ 1 N) N) -1/2 (fma 1/3 (/ (/ (/ 1 N) N) N) (/ 1 N))) (- (- (log N) (* +nan.0 (- (* N (* N N)) (* N N))))) (fma (/ (/ 1 N) N) -1/2 (+ (/ 1 N) 0)) (fma (/ (/ 1 N) N) -1/2 (fma 1/3 (/ (/ (/ 1 N) N) N) (/ 1 N))) (- (- (log N) (* +nan.0 (- (* N (* N N)) (* N N))))) (fma (/ (/ 1 N) N) -1/2 (+ (/ 1 N) 0)) (fma (/ (/ 1 N) N) -1/2 (fma 1/3 (/ (/ (/ 1 N) N) N) (/ 1 N))) (- (cbrt (* (log N) (log N))) (* +nan.0 (* (cbrt (/ 1 (log N))) (- (* N (* N N)) (* N N))))) (fma (* (cbrt (/ 1 0)) (- (/ (log N) N))) 2/3 (- (- (fma (cbrt (/ 1 0)) (fma 2/3 (/ (log N) N) (/ 1/3 (* N N))) 0) (* (* (cbrt (/ 1 0)) (* (/ (log N) N) (/ (log N) N))) 8/9)) (fma (cbrt (/ 1 0)) (- (* 8/9 (* (/ (log N) N) (/ (log N) N)))) (* (cbrt (/ 1 0)) (* 1/3 (+ (/ (log N) (* N N)) (- (/ (log N) (* N N))))))))) (fma -1/3 (cbrt (/ 1 (pow N 5))) (fma (cbrt (/ 1 (* (* (* N N) (* N N)) (* (* N N) (* N N))))) 7/36 (* (cbrt (/ -1 N)) (cbrt (/ -1 N))))) 13.325 * * * [progress]: adding candidates to table 14.073 * [progress]: [Phase 3 of 3] Extracting. 14.074 * * [regime]: Finding splitpoints for: (# # #) 14.075 * * * [regime-changes]: Trying 1 branch expressions: (N) 14.075 * * * * [regimes]: Trying to branch on N from (# # #) 14.115 * * * [regime]: Found split indices: #