20.968 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.065 * * * [progress]: [2/2] Setting up program. 0.068 * [progress]: [Phase 2 of 3] Improving. 0.068 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.068 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.068 * * [simplify]: iteration 0: 6 enodes 0.069 * * [simplify]: iteration 1: 11 enodes 0.071 * * [simplify]: iteration 2: 13 enodes 0.073 * * [simplify]: iteration complete: 13 enodes 0.073 * * [simplify]: Extracting #0: cost 1 inf + 0 0.073 * * [simplify]: Extracting #1: cost 4 inf + 0 0.073 * * [simplify]: Extracting #2: cost 6 inf + 0 0.073 * * [simplify]: Extracting #3: cost 2 inf + 475 0.073 * * [simplify]: Extracting #4: cost 0 inf + 518 0.073 * [simplify]: Simplified to: (- (log1p N) (log N)) 0.076 * * [progress]: iteration 1 / 4 0.076 * * * [progress]: picking best candidate 0.079 * * * * [pick]: Picked # 0.079 * * * [progress]: localizing error 0.089 * * * [progress]: generating rewritten candidates 0.089 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.108 * * * [progress]: generating series expansions 0.108 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.108 * [backup-simplify]: Simplify (- (log1p N) (log N)) into (- (log1p N) (log N)) 0.108 * [approximate]: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0 0.108 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.108 * [taylor]: Taking taylor expansion of (log1p N) in N 0.108 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.108 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.108 * [taylor]: Taking taylor expansion of 1 in N 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [taylor]: Taking taylor expansion of N in N 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (+ 1 0) into 1 0.109 * [backup-simplify]: Simplify (log 1) into 0 0.109 * [taylor]: Taking taylor expansion of (log N) in N 0.109 * [taylor]: Taking taylor expansion of N in N 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (log 1) into 0 0.110 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.110 * [taylor]: Taking taylor expansion of (log1p N) in N 0.110 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.110 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.110 * [taylor]: Taking taylor expansion of 1 in N 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [taylor]: Taking taylor expansion of N in N 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (+ 1 0) into 1 0.110 * [backup-simplify]: Simplify (log 1) into 0 0.110 * [taylor]: Taking taylor expansion of (log N) in N 0.110 * [taylor]: Taking taylor expansion of N in N 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (log 1) into 0 0.111 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.112 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.112 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.112 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.112 * [backup-simplify]: Simplify (+ 0 1) into 1 0.113 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.113 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.114 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 1 0) into 1 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.117 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.117 * [backup-simplify]: Simplify (- 0) into 0 0.118 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.118 * [backup-simplify]: Simplify -1/2 into -1/2 0.118 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.118 * [backup-simplify]: Simplify (- (log1p (/ 1 N)) (log (/ 1 N))) into (- (log1p (/ 1 N)) (log (/ 1 N))) 0.118 * [approximate]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0 0.118 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.118 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.118 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.118 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.118 * [taylor]: Taking taylor expansion of 1 in N 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.118 * [taylor]: Taking taylor expansion of N in N 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [backup-simplify]: Simplify (+ 0 1) into 1 0.119 * [backup-simplify]: Simplify (log 1) into 0 0.119 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.119 * [taylor]: Taking taylor expansion of (/ 1 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 (/ 1 1) into 1 0.119 * [backup-simplify]: Simplify (log 1) into 0 0.119 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.119 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.120 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.120 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.120 * [taylor]: Taking taylor expansion of 1 in N 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.120 * [taylor]: Taking taylor expansion of N in N 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (/ 1 1) into 1 0.120 * [backup-simplify]: Simplify (+ 0 1) into 1 0.120 * [backup-simplify]: Simplify (log 1) into 0 0.120 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.120 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.120 * [taylor]: Taking taylor expansion of N in N 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (/ 1 1) into 1 0.121 * [backup-simplify]: Simplify (log 1) into 0 0.121 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 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 (+ (- (log N)) (log N)) into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (+ 1 0) into 1 0.123 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.125 * [backup-simplify]: Simplify (- 0) into 0 0.125 * [backup-simplify]: Simplify (+ 1 0) into 1 0.125 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.130 * [backup-simplify]: Simplify (- 0) into 0 0.130 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.130 * [backup-simplify]: Simplify -1/2 into -1/2 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [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 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.137 * [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 0.137 * [backup-simplify]: Simplify (- 0) into 0 0.138 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.138 * [backup-simplify]: Simplify 1/3 into 1/3 0.138 * [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)))) 0.138 * [backup-simplify]: Simplify (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) into (- (log1p (/ -1 N)) (log (/ -1 N))) 0.138 * [approximate]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in (N) around 0 0.138 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.138 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.138 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.138 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.138 * [taylor]: Taking taylor expansion of 1 in N 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.138 * [taylor]: Taking taylor expansion of -1 in N 0.138 * [backup-simplify]: Simplify -1 into -1 0.138 * [taylor]: Taking taylor expansion of N in N 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (/ -1 1) into -1 0.139 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.139 * [backup-simplify]: Simplify (log -1) into (log -1) 0.139 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.139 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.139 * [taylor]: Taking taylor expansion of -1 in N 0.139 * [backup-simplify]: Simplify -1 into -1 0.139 * [taylor]: Taking taylor expansion of N in N 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (/ -1 1) into -1 0.140 * [backup-simplify]: Simplify (log -1) into (log -1) 0.140 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.140 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.140 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.140 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.140 * [taylor]: Taking taylor expansion of 1 in N 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.140 * [taylor]: Taking taylor expansion of -1 in N 0.140 * [backup-simplify]: Simplify -1 into -1 0.140 * [taylor]: Taking taylor expansion of N in N 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (/ -1 1) into -1 0.140 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.141 * [backup-simplify]: Simplify (log -1) into (log -1) 0.141 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.141 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.141 * [taylor]: Taking taylor expansion of -1 in N 0.141 * [backup-simplify]: Simplify -1 into -1 0.141 * [taylor]: Taking taylor expansion of N in N 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (/ -1 1) into -1 0.141 * [backup-simplify]: Simplify (log -1) into (log -1) 0.142 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.142 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.142 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.143 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (+ 1 0) into 1 0.145 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.146 * [backup-simplify]: Simplify (- 0) into 0 0.146 * [backup-simplify]: Simplify (+ -1 0) into -1 0.146 * [backup-simplify]: Simplify -1 into -1 0.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.151 * [backup-simplify]: Simplify (- 0) into 0 0.151 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.151 * [backup-simplify]: Simplify -1/2 into -1/2 0.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [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 0.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.159 * [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 0.159 * [backup-simplify]: Simplify (- 0) into 0 0.159 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.159 * [backup-simplify]: Simplify -1/3 into -1/3 0.159 * [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)))) 0.159 * * * [progress]: simplifying candidates 0.159 * * * * [progress]: [ 1 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 2 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 3 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 4 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 5 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 6 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 7 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 8 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 9 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 10 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 11 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 12 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 13 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 14 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 15 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 16 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 17 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 18 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 19 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 20 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 21 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 22 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 23 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 24 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 25 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 26 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 27 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 28 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 29 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 30 / 40 ] simplifiying candidate # 0.160 * * * * [progress]: [ 31 / 40 ] simplifiying candidate # 0.161 * * * * [progress]: [ 32 / 40 ] simplifiying candidate # 0.161 * * * * [progress]: [ 33 / 40 ] simplifiying candidate # 0.161 * * * * [progress]: [ 34 / 40 ] simplifiying candidate # 0.161 * * * * [progress]: [ 35 / 40 ] simplifiying candidate # 0.161 * * * * [progress]: [ 36 / 40 ] simplifiying candidate # 0.161 * * * * [progress]: [ 37 / 40 ] simplifiying candidate #real (real->posit16 (- (log1p N) (log N)))))> 0.161 * * * * [progress]: [ 38 / 40 ] simplifiying candidate # 0.161 * * * * [progress]: [ 39 / 40 ] simplifiying candidate # 0.161 * * * * [progress]: [ 40 / 40 ] simplifiying candidate # 0.161 * [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)))) 0.162 * * [simplify]: iteration 0: 83 enodes 0.192 * * [simplify]: iteration 1: 185 enodes 0.263 * * [simplify]: iteration 2: 403 enodes 0.409 * * [simplify]: iteration 3: 1137 enodes 0.820 * * [simplify]: iteration 4: 2047 enodes 1.178 * * [simplify]: iteration complete: 2047 enodes 1.178 * * [simplify]: Extracting #0: cost 24 inf + 0 1.180 * * [simplify]: Extracting #1: cost 222 inf + 0 1.184 * * [simplify]: Extracting #2: cost 376 inf + 4275 1.201 * * [simplify]: Extracting #3: cost 201 inf + 41238 1.228 * * [simplify]: Extracting #4: cost 77 inf + 68487 1.262 * * [simplify]: Extracting #5: cost 9 inf + 90610 1.296 * * [simplify]: Extracting #6: cost 2 inf + 93628 1.334 * * [simplify]: Extracting #7: cost 0 inf + 94173 1.367 * [simplify]: Simplified to: (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (- (log1p N) (log N)) (* (log N) 0) (expm1 (- (log1p N) (log N))) (log1p (- (log1p N) (log N))) (- (log N)) (- (log N)) (- (log N)) (/ (+ 1 N) N) (/ (exp (log1p N)) N) (log (- (log1p N) (log N))) (/ (exp (log1p N)) N) (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) (cbrt (- (log1p N) (log N))) (* (* (- (log1p N) (log N)) (- (log1p N) (log N))) (- (log1p N) (log N))) (sqrt (- (log1p N) (log N))) (sqrt (- (log1p N) (log N))) (- (* (log1p N) (* (log1p N) (log1p N))) (* (* (log N) (log N)) (log N))) (fma (log1p N) (log1p N) (* (log N) (+ (log 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))) (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)) (fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N)) 1.369 * * * [progress]: adding candidates to table 1.495 * * [progress]: iteration 2 / 4 1.495 * * * [progress]: picking best candidate 1.505 * * * * [pick]: Picked # 1.505 * * * [progress]: localizing error 1.539 * * * [progress]: generating rewritten candidates 1.539 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.540 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.542 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 1.545 * * * [progress]: generating series expansions 1.545 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.545 * [backup-simplify]: Simplify (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) into (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) 1.545 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in (N) around 0 1.545 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in N 1.545 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p N)) (sqrt (log1p N))) (- (log N))) 1.545 * [taylor]: Taking taylor expansion of (* (sqrt (log1p N)) (sqrt (log1p N))) in N 1.545 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 1.545 * [taylor]: Taking taylor expansion of (log1p N) in N 1.545 * [taylor]: Rewrote expression to (log (+ 1 N)) 1.546 * [taylor]: Taking taylor expansion of (+ 1 N) in N 1.546 * [taylor]: Taking taylor expansion of 1 in N 1.546 * [backup-simplify]: Simplify 1 into 1 1.546 * [taylor]: Taking taylor expansion of N in N 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify 1 into 1 1.547 * [backup-simplify]: Simplify (+ 1 0) into 1 1.547 * [backup-simplify]: Simplify (log 1) into 0 1.548 * [backup-simplify]: Simplify (+ 0 1) into 1 1.549 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.550 * [backup-simplify]: Simplify (sqrt 0) into 0 1.551 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.552 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 1.552 * [taylor]: Taking taylor expansion of (log1p N) in N 1.552 * [taylor]: Rewrote expression to (log (+ 1 N)) 1.552 * [taylor]: Taking taylor expansion of (+ 1 N) in N 1.552 * [taylor]: Taking taylor expansion of 1 in N 1.552 * [backup-simplify]: Simplify 1 into 1 1.552 * [taylor]: Taking taylor expansion of N in N 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 1 into 1 1.552 * [backup-simplify]: Simplify (+ 1 0) into 1 1.553 * [backup-simplify]: Simplify (log 1) into 0 1.554 * [backup-simplify]: Simplify (+ 0 1) into 1 1.555 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.556 * [backup-simplify]: Simplify (sqrt 0) into 0 1.557 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.557 * [taylor]: Taking taylor expansion of (- (log N)) in N 1.557 * [taylor]: Taking taylor expansion of (log N) in N 1.557 * [taylor]: Taking taylor expansion of N in N 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 1 into 1 1.558 * [backup-simplify]: Simplify (log 1) into 0 1.558 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))) in N 1.558 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p N)) (sqrt (log1p N))) (- (log N))) 1.558 * [taylor]: Taking taylor expansion of (* (sqrt (log1p N)) (sqrt (log1p N))) in N 1.558 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 1.558 * [taylor]: Taking taylor expansion of (log1p N) in N 1.558 * [taylor]: Rewrote expression to (log (+ 1 N)) 1.558 * [taylor]: Taking taylor expansion of (+ 1 N) in N 1.558 * [taylor]: Taking taylor expansion of 1 in N 1.558 * [backup-simplify]: Simplify 1 into 1 1.558 * [taylor]: Taking taylor expansion of N in N 1.558 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify 1 into 1 1.559 * [backup-simplify]: Simplify (+ 1 0) into 1 1.560 * [backup-simplify]: Simplify (log 1) into 0 1.560 * [backup-simplify]: Simplify (+ 0 1) into 1 1.561 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.562 * [backup-simplify]: Simplify (sqrt 0) into 0 1.563 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.563 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 1.563 * [taylor]: Taking taylor expansion of (log1p N) in N 1.563 * [taylor]: Rewrote expression to (log (+ 1 N)) 1.563 * [taylor]: Taking taylor expansion of (+ 1 N) in N 1.563 * [taylor]: Taking taylor expansion of 1 in N 1.563 * [backup-simplify]: Simplify 1 into 1 1.564 * [taylor]: Taking taylor expansion of N in N 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 1 into 1 1.564 * [backup-simplify]: Simplify (+ 1 0) into 1 1.564 * [backup-simplify]: Simplify (log 1) into 0 1.565 * [backup-simplify]: Simplify (+ 0 1) into 1 1.566 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.567 * [backup-simplify]: Simplify (sqrt 0) into 0 1.568 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.568 * [taylor]: Taking taylor expansion of (- (log N)) in N 1.568 * [taylor]: Taking taylor expansion of (log N) in N 1.568 * [taylor]: Taking taylor expansion of N in N 1.568 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify 1 into 1 1.569 * [backup-simplify]: Simplify (log 1) into 0 1.569 * [backup-simplify]: Simplify (* 0 0) into 0 1.569 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 1.570 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 1.570 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 1.570 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 1.570 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 1.572 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.572 * [backup-simplify]: Simplify (- 0) into 0 1.573 * [backup-simplify]: Simplify (+ 0 0) into 0 1.573 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify (+ 0 0) into 0 1.576 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.579 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.580 * [backup-simplify]: Simplify (+ 0 0) into 0 1.582 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.586 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.588 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 1.592 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.592 * [backup-simplify]: Simplify (- 0) into 0 1.593 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 1.593 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.594 * [backup-simplify]: Simplify (+ 0 0) into 0 1.599 * [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 1.604 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.604 * [backup-simplify]: Simplify (+ 0 0) into 0 1.610 * [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 1.615 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.620 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 1.625 * [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 1.626 * [backup-simplify]: Simplify (- 0) into 0 1.627 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 1.627 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.628 * [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))))) 1.629 * [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)))) 1.629 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in (N) around 0 1.629 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in N 1.629 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) (- (log (/ 1 N)))) 1.629 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) in N 1.629 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 1.629 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 1.629 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 1.629 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1.629 * [taylor]: Taking taylor expansion of 1 in N 1.629 * [backup-simplify]: Simplify 1 into 1 1.629 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.629 * [taylor]: Taking taylor expansion of N in N 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify 1 into 1 1.630 * [backup-simplify]: Simplify (/ 1 1) into 1 1.630 * [backup-simplify]: Simplify (+ 0 1) into 1 1.630 * [backup-simplify]: Simplify (log 1) into 0 1.631 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.631 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.632 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 1.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.633 * [backup-simplify]: Simplify (+ 1 0) into 1 1.634 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.635 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.635 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 1.635 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 1.635 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 1.635 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 1.635 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1.635 * [taylor]: Taking taylor expansion of 1 in N 1.635 * [backup-simplify]: Simplify 1 into 1 1.635 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.635 * [taylor]: Taking taylor expansion of N in N 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify 1 into 1 1.636 * [backup-simplify]: Simplify (/ 1 1) into 1 1.636 * [backup-simplify]: Simplify (+ 0 1) into 1 1.637 * [backup-simplify]: Simplify (log 1) into 0 1.637 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.638 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.638 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 1.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.639 * [backup-simplify]: Simplify (+ 1 0) into 1 1.640 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.641 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.641 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 1.641 * [taylor]: Taking taylor expansion of (- (log (/ 1 N))) in N 1.641 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.641 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.641 * [taylor]: Taking taylor expansion of N in N 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify 1 into 1 1.641 * [backup-simplify]: Simplify (/ 1 1) into 1 1.642 * [backup-simplify]: Simplify (log 1) into 0 1.642 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N))) (- (log (/ 1 N)))) in N 1.642 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) (- (log (/ 1 N)))) 1.642 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ 1 N))) (sqrt (log1p (/ 1 N)))) in N 1.642 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 1.642 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 1.642 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 1.642 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1.642 * [taylor]: Taking taylor expansion of 1 in N 1.642 * [backup-simplify]: Simplify 1 into 1 1.642 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.642 * [taylor]: Taking taylor expansion of N in N 1.642 * [backup-simplify]: Simplify 0 into 0 1.642 * [backup-simplify]: Simplify 1 into 1 1.643 * [backup-simplify]: Simplify (/ 1 1) into 1 1.643 * [backup-simplify]: Simplify (+ 0 1) into 1 1.643 * [backup-simplify]: Simplify (log 1) into 0 1.644 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.644 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.645 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 1.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.646 * [backup-simplify]: Simplify (+ 1 0) into 1 1.647 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.648 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.648 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 1.648 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 1.648 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 1.648 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 1.648 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1.648 * [taylor]: Taking taylor expansion of 1 in N 1.648 * [backup-simplify]: Simplify 1 into 1 1.648 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.648 * [taylor]: Taking taylor expansion of N in N 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 1 into 1 1.649 * [backup-simplify]: Simplify (/ 1 1) into 1 1.649 * [backup-simplify]: Simplify (+ 0 1) into 1 1.649 * [backup-simplify]: Simplify (log 1) into 0 1.650 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.650 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.651 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 1.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.653 * [backup-simplify]: Simplify (+ 1 0) into 1 1.654 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.655 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.655 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 1.655 * [taylor]: Taking taylor expansion of (- (log (/ 1 N))) in N 1.655 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.655 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.655 * [taylor]: Taking taylor expansion of N in N 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 1 into 1 1.656 * [backup-simplify]: Simplify (/ 1 1) into 1 1.656 * [backup-simplify]: Simplify (log 1) into 0 1.656 * [backup-simplify]: Simplify (* (sqrt (- (log N))) (sqrt (- (log N)))) into (pow (sqrt (- (log N))) 2) 1.657 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.657 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 1.657 * [backup-simplify]: Simplify (+ (pow (sqrt (- (log N))) 2) (log N)) into (+ (pow (sqrt (- (log N))) 2) (log N)) 1.657 * [backup-simplify]: Simplify (+ (pow (sqrt (- (log N))) 2) (log N)) into (+ (pow (sqrt (- (log N))) 2) (log N)) 1.658 * [backup-simplify]: Simplify (+ (* (sqrt (- (log N))) (/ 1/2 (sqrt (- (log N))))) (* (/ 1/2 (sqrt (- (log N)))) (sqrt (- (log N))))) into 1 1.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.660 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.661 * [backup-simplify]: Simplify (- 0) into 0 1.661 * [backup-simplify]: Simplify (+ 1 0) into 1 1.661 * [backup-simplify]: Simplify 1 into 1 1.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.663 * [backup-simplify]: Simplify (+ 0 0) into 0 1.666 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.666 * [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))))) 1.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.668 * [backup-simplify]: Simplify (+ 0 0) into 0 1.669 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.670 * [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))))) 1.670 * [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) 1.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.677 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.677 * [backup-simplify]: Simplify (- 0) into 0 1.678 * [backup-simplify]: Simplify (+ (- 1/2) 0) into -1/2 1.678 * [backup-simplify]: Simplify -1/2 into -1/2 1.678 * [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)))) 1.678 * [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)))) 1.678 * [approximate]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in (N) around 0 1.678 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in N 1.678 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) (- (log (/ -1 N)))) 1.678 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) in N 1.678 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 1.678 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 1.678 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 1.678 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1.678 * [taylor]: Taking taylor expansion of 1 in N 1.678 * [backup-simplify]: Simplify 1 into 1 1.678 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.678 * [taylor]: Taking taylor expansion of -1 in N 1.678 * [backup-simplify]: Simplify -1 into -1 1.678 * [taylor]: Taking taylor expansion of N in N 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 1 into 1 1.679 * [backup-simplify]: Simplify (/ -1 1) into -1 1.679 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.679 * [backup-simplify]: Simplify (log -1) into (log -1) 1.680 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.680 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.681 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 1.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.681 * [backup-simplify]: Simplify (+ 1 0) into 1 1.682 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1.683 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.683 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 1.683 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 1.683 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 1.683 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 1.683 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1.683 * [taylor]: Taking taylor expansion of 1 in N 1.683 * [backup-simplify]: Simplify 1 into 1 1.683 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.683 * [taylor]: Taking taylor expansion of -1 in N 1.683 * [backup-simplify]: Simplify -1 into -1 1.683 * [taylor]: Taking taylor expansion of N in N 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify 1 into 1 1.683 * [backup-simplify]: Simplify (/ -1 1) into -1 1.684 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.684 * [backup-simplify]: Simplify (log -1) into (log -1) 1.684 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.685 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.685 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 1.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.686 * [backup-simplify]: Simplify (+ 1 0) into 1 1.687 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1.687 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.688 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 1.688 * [taylor]: Taking taylor expansion of (- (log (/ -1 N))) in N 1.688 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.688 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.688 * [taylor]: Taking taylor expansion of -1 in N 1.688 * [backup-simplify]: Simplify -1 into -1 1.688 * [taylor]: Taking taylor expansion of N in N 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify 1 into 1 1.688 * [backup-simplify]: Simplify (/ -1 1) into -1 1.688 * [backup-simplify]: Simplify (log -1) into (log -1) 1.688 * [taylor]: Taking taylor expansion of (fma (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N))) (- (log (/ -1 N)))) in N 1.688 * [taylor]: Rewrote expression to (+ (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) (- (log (/ -1 N)))) 1.688 * [taylor]: Taking taylor expansion of (* (sqrt (log1p (/ -1 N))) (sqrt (log1p (/ -1 N)))) in N 1.688 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 1.688 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 1.689 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 1.689 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1.689 * [taylor]: Taking taylor expansion of 1 in N 1.689 * [backup-simplify]: Simplify 1 into 1 1.689 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.689 * [taylor]: Taking taylor expansion of -1 in N 1.689 * [backup-simplify]: Simplify -1 into -1 1.689 * [taylor]: Taking taylor expansion of N in N 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify 1 into 1 1.689 * [backup-simplify]: Simplify (/ -1 1) into -1 1.689 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.690 * [backup-simplify]: Simplify (log -1) into (log -1) 1.690 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.691 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.691 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 1.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.692 * [backup-simplify]: Simplify (+ 1 0) into 1 1.693 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1.693 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.693 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 1.693 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 1.693 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 1.693 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 1.694 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1.694 * [taylor]: Taking taylor expansion of 1 in N 1.694 * [backup-simplify]: Simplify 1 into 1 1.694 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.694 * [taylor]: Taking taylor expansion of -1 in N 1.694 * [backup-simplify]: Simplify -1 into -1 1.694 * [taylor]: Taking taylor expansion of N in N 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify 1 into 1 1.694 * [backup-simplify]: Simplify (/ -1 1) into -1 1.694 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.694 * [backup-simplify]: Simplify (log -1) into (log -1) 1.695 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.695 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.696 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 1.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.697 * [backup-simplify]: Simplify (+ 1 0) into 1 1.697 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1.698 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.698 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 1.698 * [taylor]: Taking taylor expansion of (- (log (/ -1 N))) in N 1.698 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.698 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.698 * [taylor]: Taking taylor expansion of -1 in N 1.698 * [backup-simplify]: Simplify -1 into -1 1.698 * [taylor]: Taking taylor expansion of N in N 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.699 * [backup-simplify]: Simplify (/ -1 1) into -1 1.699 * [backup-simplify]: Simplify (log -1) into (log -1) 1.700 * [backup-simplify]: Simplify (* (sqrt (- (log -1) (log N))) (sqrt (- (log -1) (log N)))) into (- (log -1) (log N)) 1.700 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.701 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 1.702 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 1.702 * [backup-simplify]: Simplify 0 into 0 1.703 * [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) 1.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.706 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1.706 * [backup-simplify]: Simplify (- 0) into 0 1.706 * [backup-simplify]: Simplify (+ (- 1) 0) into -1 1.707 * [backup-simplify]: Simplify -1 into -1 1.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.708 * [backup-simplify]: Simplify (+ 0 0) into 0 1.710 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 1.712 * [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)))))) 1.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.713 * [backup-simplify]: Simplify (+ 0 0) into 0 1.716 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 1.717 * [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)))))) 1.721 * [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) 1.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.725 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1.725 * [backup-simplify]: Simplify (- 0) into 0 1.725 * [backup-simplify]: Simplify (+ (- 1/2) 0) into -1/2 1.726 * [backup-simplify]: Simplify -1/2 into -1/2 1.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.727 * [backup-simplify]: Simplify (+ 0 0) into 0 1.732 * [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 1.734 * [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)))))) 1.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.736 * [backup-simplify]: Simplify (+ 0 0) into 0 1.742 * [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 1.744 * [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)))))) 1.752 * [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) 1.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.759 * [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 1.759 * [backup-simplify]: Simplify (- 0) into 0 1.760 * [backup-simplify]: Simplify (+ (- 1/3) 0) into -1/3 1.760 * [backup-simplify]: Simplify -1/3 into -1/3 1.760 * [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)))) 1.760 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.760 * [backup-simplify]: Simplify (sqrt (log1p N)) into (sqrt (log1p N)) 1.760 * [approximate]: Taking taylor expansion of (sqrt (log1p N)) in (N) around 0 1.760 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 1.760 * [taylor]: Taking taylor expansion of (log1p N) in N 1.761 * [taylor]: Rewrote expression to (log (+ 1 N)) 1.761 * [taylor]: Taking taylor expansion of (+ 1 N) in N 1.761 * [taylor]: Taking taylor expansion of 1 in N 1.761 * [backup-simplify]: Simplify 1 into 1 1.761 * [taylor]: Taking taylor expansion of N in N 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify 1 into 1 1.761 * [backup-simplify]: Simplify (+ 1 0) into 1 1.762 * [backup-simplify]: Simplify (log 1) into 0 1.762 * [backup-simplify]: Simplify (+ 0 1) into 1 1.763 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.764 * [backup-simplify]: Simplify (sqrt 0) into 0 1.765 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.765 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 1.765 * [taylor]: Taking taylor expansion of (log1p N) in N 1.765 * [taylor]: Rewrote expression to (log (+ 1 N)) 1.765 * [taylor]: Taking taylor expansion of (+ 1 N) in N 1.765 * [taylor]: Taking taylor expansion of 1 in N 1.765 * [backup-simplify]: Simplify 1 into 1 1.765 * [taylor]: Taking taylor expansion of N in N 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 1 into 1 1.766 * [backup-simplify]: Simplify (+ 1 0) into 1 1.766 * [backup-simplify]: Simplify (log 1) into 0 1.767 * [backup-simplify]: Simplify (+ 0 1) into 1 1.768 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.768 * [backup-simplify]: Simplify (sqrt 0) into 0 1.769 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.769 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.770 * [backup-simplify]: Simplify (+ 0 0) into 0 1.773 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.776 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.776 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.777 * [backup-simplify]: Simplify (+ 0 0) into 0 1.782 * [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 1.786 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.786 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.786 * [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))))))) 1.787 * [backup-simplify]: Simplify (sqrt (log1p (/ 1 N))) into (sqrt (log1p (/ 1 N))) 1.787 * [approximate]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in (N) around 0 1.787 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 1.787 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 1.787 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 1.787 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1.787 * [taylor]: Taking taylor expansion of 1 in N 1.787 * [backup-simplify]: Simplify 1 into 1 1.787 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.787 * [taylor]: Taking taylor expansion of N in N 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify 1 into 1 1.787 * [backup-simplify]: Simplify (/ 1 1) into 1 1.788 * [backup-simplify]: Simplify (+ 0 1) into 1 1.788 * [backup-simplify]: Simplify (log 1) into 0 1.789 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.789 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.789 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 1.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.790 * [backup-simplify]: Simplify (+ 1 0) into 1 1.792 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.792 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.792 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 1.792 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 1.792 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 1.792 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 1.792 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1.793 * [taylor]: Taking taylor expansion of 1 in N 1.793 * [backup-simplify]: Simplify 1 into 1 1.793 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.793 * [taylor]: Taking taylor expansion of N in N 1.793 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify 1 into 1 1.793 * [backup-simplify]: Simplify (/ 1 1) into 1 1.793 * [backup-simplify]: Simplify (+ 0 1) into 1 1.794 * [backup-simplify]: Simplify (log 1) into 0 1.794 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.795 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.795 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 1.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.796 * [backup-simplify]: Simplify (+ 1 0) into 1 1.796 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.797 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.797 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 1.797 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 1.797 * [backup-simplify]: Simplify (/ 1/2 (sqrt (- (log N)))) into (/ 1/2 (sqrt (- (log N)))) 1.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.798 * [backup-simplify]: Simplify (+ 0 0) into 0 1.799 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.800 * [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))))) 1.800 * [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))))) 1.801 * [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))))))))) 1.801 * [backup-simplify]: Simplify (sqrt (log1p (/ 1 (- N)))) into (sqrt (log1p (/ -1 N))) 1.801 * [approximate]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in (N) around 0 1.801 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 1.801 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 1.801 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 1.801 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1.801 * [taylor]: Taking taylor expansion of 1 in N 1.801 * [backup-simplify]: Simplify 1 into 1 1.801 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.801 * [taylor]: Taking taylor expansion of -1 in N 1.801 * [backup-simplify]: Simplify -1 into -1 1.801 * [taylor]: Taking taylor expansion of N in N 1.801 * [backup-simplify]: Simplify 0 into 0 1.801 * [backup-simplify]: Simplify 1 into 1 1.801 * [backup-simplify]: Simplify (/ -1 1) into -1 1.802 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.802 * [backup-simplify]: Simplify (log -1) into (log -1) 1.806 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.807 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.808 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 1.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.808 * [backup-simplify]: Simplify (+ 1 0) into 1 1.809 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1.810 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.810 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 1.810 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 1.810 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 1.810 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 1.810 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1.810 * [taylor]: Taking taylor expansion of 1 in N 1.810 * [backup-simplify]: Simplify 1 into 1 1.810 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.810 * [taylor]: Taking taylor expansion of -1 in N 1.811 * [backup-simplify]: Simplify -1 into -1 1.811 * [taylor]: Taking taylor expansion of N in N 1.811 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify 1 into 1 1.811 * [backup-simplify]: Simplify (/ -1 1) into -1 1.811 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.811 * [backup-simplify]: Simplify (log -1) into (log -1) 1.812 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.812 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.813 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 1.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.814 * [backup-simplify]: Simplify (+ 1 0) into 1 1.814 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1.815 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.815 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 1.816 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 1.816 * [backup-simplify]: Simplify (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 1.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.817 * [backup-simplify]: Simplify (+ 0 0) into 0 1.818 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 1.819 * [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)))))) 1.820 * [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)))))) 1.822 * [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))))))))) 1.822 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 1.822 * [backup-simplify]: Simplify (sqrt (log1p N)) into (sqrt (log1p N)) 1.822 * [approximate]: Taking taylor expansion of (sqrt (log1p N)) in (N) around 0 1.822 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 1.822 * [taylor]: Taking taylor expansion of (log1p N) in N 1.822 * [taylor]: Rewrote expression to (log (+ 1 N)) 1.822 * [taylor]: Taking taylor expansion of (+ 1 N) in N 1.822 * [taylor]: Taking taylor expansion of 1 in N 1.822 * [backup-simplify]: Simplify 1 into 1 1.822 * [taylor]: Taking taylor expansion of N in N 1.822 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify 1 into 1 1.822 * [backup-simplify]: Simplify (+ 1 0) into 1 1.823 * [backup-simplify]: Simplify (log 1) into 0 1.823 * [backup-simplify]: Simplify (+ 0 1) into 1 1.824 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.824 * [backup-simplify]: Simplify (sqrt 0) into 0 1.826 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.826 * [taylor]: Taking taylor expansion of (sqrt (log1p N)) in N 1.826 * [taylor]: Taking taylor expansion of (log1p N) in N 1.826 * [taylor]: Rewrote expression to (log (+ 1 N)) 1.826 * [taylor]: Taking taylor expansion of (+ 1 N) in N 1.826 * [taylor]: Taking taylor expansion of 1 in N 1.826 * [backup-simplify]: Simplify 1 into 1 1.826 * [taylor]: Taking taylor expansion of N in N 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify 1 into 1 1.827 * [backup-simplify]: Simplify (+ 1 0) into 1 1.827 * [backup-simplify]: Simplify (log 1) into 0 1.827 * [backup-simplify]: Simplify (+ 0 1) into 1 1.829 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.829 * [backup-simplify]: Simplify (sqrt 0) into 0 1.831 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.831 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.831 * [backup-simplify]: Simplify (+ 0 0) into 0 1.834 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.838 * [backup-simplify]: Simplify (/ (- -1/2 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.838 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.839 * [backup-simplify]: Simplify (+ 0 0) into 0 1.844 * [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 1.849 * [backup-simplify]: Simplify (/ (- 1/3 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.849 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.849 * [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))))))) 1.849 * [backup-simplify]: Simplify (sqrt (log1p (/ 1 N))) into (sqrt (log1p (/ 1 N))) 1.849 * [approximate]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in (N) around 0 1.849 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 1.849 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 1.849 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 1.849 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1.849 * [taylor]: Taking taylor expansion of 1 in N 1.849 * [backup-simplify]: Simplify 1 into 1 1.849 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.849 * [taylor]: Taking taylor expansion of N in N 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 1 into 1 1.850 * [backup-simplify]: Simplify (/ 1 1) into 1 1.850 * [backup-simplify]: Simplify (+ 0 1) into 1 1.851 * [backup-simplify]: Simplify (log 1) into 0 1.851 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.852 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.852 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 1.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.853 * [backup-simplify]: Simplify (+ 1 0) into 1 1.854 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.855 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.855 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 1.855 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ 1 N))) in N 1.855 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 1.855 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 1.855 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 1.855 * [taylor]: Taking taylor expansion of 1 in N 1.855 * [backup-simplify]: Simplify 1 into 1 1.855 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.855 * [taylor]: Taking taylor expansion of N in N 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify 1 into 1 1.855 * [backup-simplify]: Simplify (/ 1 1) into 1 1.856 * [backup-simplify]: Simplify (+ 0 1) into 1 1.856 * [backup-simplify]: Simplify (log 1) into 0 1.857 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.857 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.857 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 1.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.858 * [backup-simplify]: Simplify (+ 1 0) into 1 1.859 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 1.860 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 1.860 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (log N))))) into (/ 1/2 (sqrt (- (log N)))) 1.860 * [backup-simplify]: Simplify (sqrt (- (log N))) into (sqrt (- (log N))) 1.860 * [backup-simplify]: Simplify (/ 1/2 (sqrt (- (log N)))) into (/ 1/2 (sqrt (- (log N)))) 1.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.862 * [backup-simplify]: Simplify (+ 0 0) into 0 1.864 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 1.865 * [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))))) 1.865 * [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))))) 1.866 * [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))))))))) 1.866 * [backup-simplify]: Simplify (sqrt (log1p (/ 1 (- N)))) into (sqrt (log1p (/ -1 N))) 1.866 * [approximate]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in (N) around 0 1.866 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 1.866 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 1.866 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 1.866 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1.866 * [taylor]: Taking taylor expansion of 1 in N 1.866 * [backup-simplify]: Simplify 1 into 1 1.866 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.866 * [taylor]: Taking taylor expansion of -1 in N 1.866 * [backup-simplify]: Simplify -1 into -1 1.866 * [taylor]: Taking taylor expansion of N in N 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify 1 into 1 1.867 * [backup-simplify]: Simplify (/ -1 1) into -1 1.867 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.868 * [backup-simplify]: Simplify (log -1) into (log -1) 1.869 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.869 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.870 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 1.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.871 * [backup-simplify]: Simplify (+ 1 0) into 1 1.873 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1.873 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.874 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 1.874 * [taylor]: Taking taylor expansion of (sqrt (log1p (/ -1 N))) in N 1.874 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 1.874 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 1.874 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 1.874 * [taylor]: Taking taylor expansion of 1 in N 1.874 * [backup-simplify]: Simplify 1 into 1 1.874 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.874 * [taylor]: Taking taylor expansion of -1 in N 1.874 * [backup-simplify]: Simplify -1 into -1 1.874 * [taylor]: Taking taylor expansion of N in N 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify 1 into 1 1.875 * [backup-simplify]: Simplify (/ -1 1) into -1 1.875 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.876 * [backup-simplify]: Simplify (log -1) into (log -1) 1.876 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.877 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.878 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 1.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.879 * [backup-simplify]: Simplify (+ 1 0) into 1 1.880 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 1.881 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 1.882 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 1.882 * [backup-simplify]: Simplify (sqrt (- (log -1) (log N))) into (sqrt (- (log -1) (log N))) 1.883 * [backup-simplify]: Simplify (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) into (* -1/2 (sqrt (/ 1 (- (log -1) (log N))))) 1.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.884 * [backup-simplify]: Simplify (+ 0 0) into 0 1.887 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 1.888 * [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)))))) 1.889 * [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)))))) 1.891 * [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))))))))) 1.892 * * * [progress]: simplifying candidates 1.892 * * * * [progress]: [ 1 / 52 ] simplifiying candidate # 1.892 * * * * [progress]: [ 2 / 52 ] simplifiying candidate # 1.892 * * * * [progress]: [ 3 / 52 ] simplifiying candidate # 1.892 * * * * [progress]: [ 4 / 52 ] simplifiying candidate # 1.892 * * * * [progress]: [ 5 / 52 ] simplifiying candidate # 1.892 * * * * [progress]: [ 6 / 52 ] simplifiying candidate # 1.892 * * * * [progress]: [ 7 / 52 ] simplifiying candidate # 1.892 * * * * [progress]: [ 8 / 52 ] simplifiying candidate # 1.892 * * * * [progress]: [ 9 / 52 ] simplifiying candidate # 1.892 * * * * [progress]: [ 10 / 52 ] simplifiying candidate # 1.892 * * * * [progress]: [ 11 / 52 ] simplifiying candidate #real (real->posit16 (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (log N))))))> 1.892 * * * * [progress]: [ 12 / 52 ] simplifiying candidate # 1.892 * * * * [progress]: [ 13 / 52 ] simplifiying candidate # 1.892 * * * * [progress]: [ 14 / 52 ] simplifiying candidate # 1.892 * * * * [progress]: [ 15 / 52 ] simplifiying candidate # 1.892 * * * * [progress]: [ 16 / 52 ] simplifiying candidate # 1.893 * * * * [progress]: [ 17 / 52 ] simplifiying candidate # 1.893 * * * * [progress]: [ 18 / 52 ] simplifiying candidate # 1.893 * * * * [progress]: [ 19 / 52 ] simplifiying candidate # 1.893 * * * * [progress]: [ 20 / 52 ] simplifiying candidate # 1.893 * * * * [progress]: [ 21 / 52 ] simplifiying candidate # 1.893 * * * * [progress]: [ 22 / 52 ] simplifiying candidate # 1.893 * * * * [progress]: [ 23 / 52 ] simplifiying candidate # 1.893 * * * * [progress]: [ 24 / 52 ] simplifiying candidate # 1.893 * * * * [progress]: [ 25 / 52 ] simplifiying candidate # 1.893 * * * * [progress]: [ 26 / 52 ] simplifiying candidate # 1.893 * * * * [progress]: [ 27 / 52 ] simplifiying candidate #real (real->posit16 (sqrt (log1p N)))) (- (log N))))> 1.893 * * * * [progress]: [ 28 / 52 ] simplifiying candidate # 1.893 * * * * [progress]: [ 29 / 52 ] simplifiying candidate # 1.893 * * * * [progress]: [ 30 / 52 ] simplifiying candidate # 1.893 * * * * [progress]: [ 31 / 52 ] simplifiying candidate # 1.893 * * * * [progress]: [ 32 / 52 ] simplifiying candidate # 1.893 * * * * [progress]: [ 33 / 52 ] simplifiying candidate # 1.893 * * * * [progress]: [ 34 / 52 ] simplifiying candidate # 1.894 * * * * [progress]: [ 35 / 52 ] simplifiying candidate # 1.894 * * * * [progress]: [ 36 / 52 ] simplifiying candidate # 1.894 * * * * [progress]: [ 37 / 52 ] simplifiying candidate # 1.894 * * * * [progress]: [ 38 / 52 ] simplifiying candidate # 1.894 * * * * [progress]: [ 39 / 52 ] simplifiying candidate # 1.894 * * * * [progress]: [ 40 / 52 ] simplifiying candidate # 1.894 * * * * [progress]: [ 41 / 52 ] simplifiying candidate # 1.894 * * * * [progress]: [ 42 / 52 ] simplifiying candidate # 1.894 * * * * [progress]: [ 43 / 52 ] simplifiying candidate #real (real->posit16 (sqrt (log1p N)))) (sqrt (log1p N)) (- (log N))))> 1.894 * * * * [progress]: [ 44 / 52 ] simplifiying candidate # 1.894 * * * * [progress]: [ 45 / 52 ] simplifiying candidate # 1.894 * * * * [progress]: [ 46 / 52 ] simplifiying candidate # 1.894 * * * * [progress]: [ 47 / 52 ] simplifiying candidate # 1.894 * * * * [progress]: [ 48 / 52 ] simplifiying candidate # 1.894 * * * * [progress]: [ 49 / 52 ] simplifiying candidate # 1.894 * * * * [progress]: [ 50 / 52 ] simplifiying candidate # 1.894 * * * * [progress]: [ 51 / 52 ] simplifiying candidate # 1.894 * * * * [progress]: [ 52 / 52 ] simplifiying candidate # 1.895 * [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))))))))) 1.897 * * [simplify]: iteration 0: 100 enodes 1.942 * * [simplify]: iteration 1: 229 enodes 2.069 * * [simplify]: iteration 2: 737 enodes 2.372 * * [simplify]: iteration 3: 2003 enodes 2.981 * * [simplify]: iteration complete: 2003 enodes 2.981 * * [simplify]: Extracting #0: cost 30 inf + 0 2.982 * * [simplify]: Extracting #1: cost 188 inf + 2 2.986 * * [simplify]: Extracting #2: cost 492 inf + 91 2.993 * * [simplify]: Extracting #3: cost 521 inf + 8567 3.021 * * [simplify]: Extracting #4: cost 239 inf + 72328 3.059 * * [simplify]: Extracting #5: cost 97 inf + 115810 3.110 * * [simplify]: Extracting #6: cost 67 inf + 136210 3.167 * * [simplify]: Extracting #7: cost 6 inf + 160237 3.229 * * [simplify]: Extracting #8: cost 2 inf + 160427 3.280 * * [simplify]: Extracting #9: cost 0 inf + 161140 3.318 * [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 (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))) (- (- (* (* (- +nan.0) N) N) (* (* (* (- +nan.0) N) N) N)) (log N)) (fma (/ (/ 1 N) N) -1/2 (- (+ (log N) (/ 1 N)) (log N))) (+ (/ -1/2 (* N N)) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (+ (- (* (* (- +nan.0) N) N) (* (- +nan.0) N)) (* (* (* (- +nan.0) N) N) N)) (- (- (+ (/ (/ 1/2 N) (sqrt (log N))) (sqrt (log N))) (/ (/ 1/4 (* N N)) (sqrt (log N)))) (/ 1/8 (* (* (log N) (sqrt (log N))) (* N N)))) (- (fma 1/2 (/ (sqrt (/ 1 (+ 0 (log N)))) N) (sqrt (+ 0 (log N)))) (fma 1/4 (/ (/ (sqrt (/ 1 (+ 0 (log N)))) N) N) (* (/ 1/8 N) (/ (sqrt (/ (/ 1 (+ 0 (log N))) (* (+ 0 (log N)) (+ 0 (log N))))) N)))) (+ (- (* (* (- +nan.0) N) N) (* (- +nan.0) N)) (* (* (* (- +nan.0) N) N) N)) (- (- (+ (/ (/ 1/2 N) (sqrt (log N))) (sqrt (log N))) (/ (/ 1/4 (* N N)) (sqrt (log N)))) (/ 1/8 (* (* (log N) (sqrt (log N))) (* N N)))) (- (fma 1/2 (/ (sqrt (/ 1 (+ 0 (log N)))) N) (sqrt (+ 0 (log N)))) (fma 1/4 (/ (/ (sqrt (/ 1 (+ 0 (log N)))) N) N) (* (/ 1/8 N) (/ (sqrt (/ (/ 1 (+ 0 (log N))) (* (+ 0 (log N)) (+ 0 (log N))))) N)))) 3.323 * * * [progress]: adding candidates to table 3.641 * * [progress]: iteration 3 / 4 3.641 * * * [progress]: picking best candidate 3.645 * * * * [pick]: Picked # 3.645 * * * [progress]: localizing error 3.679 * * * [progress]: generating rewritten candidates 3.679 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.715 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.728 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 3.755 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.758 * * * [progress]: generating series expansions 3.758 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.759 * [backup-simplify]: Simplify (+ (/ -1/2 (* N N)) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) into (- (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 3.759 * [approximate]: Taking taylor expansion of (- (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0 3.759 * [taylor]: Taking taylor expansion of (- (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N 3.759 * [taylor]: Taking taylor expansion of (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) in N 3.759 * [taylor]: Rewrote expression to (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) 3.759 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 3.759 * [taylor]: Taking taylor expansion of 1/3 in N 3.759 * [backup-simplify]: Simplify 1/3 into 1/3 3.759 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.759 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.759 * [taylor]: Taking taylor expansion of N in N 3.759 * [backup-simplify]: Simplify 0 into 0 3.759 * [backup-simplify]: Simplify 1 into 1 3.760 * [backup-simplify]: Simplify (* 1 1) into 1 3.761 * [backup-simplify]: Simplify (* 1 1) into 1 3.761 * [backup-simplify]: Simplify (/ 1 1) into 1 3.761 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.761 * [taylor]: Taking taylor expansion of N in N 3.761 * [backup-simplify]: Simplify 0 into 0 3.761 * [backup-simplify]: Simplify 1 into 1 3.762 * [backup-simplify]: Simplify (/ 1 1) into 1 3.762 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 3.762 * [taylor]: Taking taylor expansion of 1/2 in N 3.762 * [backup-simplify]: Simplify 1/2 into 1/2 3.762 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.762 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.762 * [taylor]: Taking taylor expansion of N in N 3.762 * [backup-simplify]: Simplify 0 into 0 3.762 * [backup-simplify]: Simplify 1 into 1 3.763 * [backup-simplify]: Simplify (* 1 1) into 1 3.763 * [backup-simplify]: Simplify (/ 1 1) into 1 3.763 * [taylor]: Taking taylor expansion of (- (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) in N 3.763 * [taylor]: Taking taylor expansion of (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) in N 3.763 * [taylor]: Rewrote expression to (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) 3.763 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 3.763 * [taylor]: Taking taylor expansion of 1/3 in N 3.763 * [backup-simplify]: Simplify 1/3 into 1/3 3.763 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.763 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.763 * [taylor]: Taking taylor expansion of N in N 3.763 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify 1 into 1 3.764 * [backup-simplify]: Simplify (* 1 1) into 1 3.764 * [backup-simplify]: Simplify (* 1 1) into 1 3.765 * [backup-simplify]: Simplify (/ 1 1) into 1 3.765 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.765 * [taylor]: Taking taylor expansion of N in N 3.765 * [backup-simplify]: Simplify 0 into 0 3.765 * [backup-simplify]: Simplify 1 into 1 3.765 * [backup-simplify]: Simplify (/ 1 1) into 1 3.765 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 3.765 * [taylor]: Taking taylor expansion of 1/2 in N 3.765 * [backup-simplify]: Simplify 1/2 into 1/2 3.765 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.765 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.765 * [taylor]: Taking taylor expansion of N in N 3.765 * [backup-simplify]: Simplify 0 into 0 3.765 * [backup-simplify]: Simplify 1 into 1 3.766 * [backup-simplify]: Simplify (* 1 1) into 1 3.766 * [backup-simplify]: Simplify (/ 1 1) into 1 3.767 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 3.767 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 3.767 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 3.767 * [backup-simplify]: Simplify 1/3 into 1/3 3.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.771 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 3.771 * [backup-simplify]: Simplify (+ 0 0) into 0 3.771 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.772 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.772 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.772 * [backup-simplify]: Simplify -1/2 into -1/2 3.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.777 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 3.778 * [backup-simplify]: Simplify (+ 0 1) into 1 3.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.780 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.781 * [backup-simplify]: Simplify (- 0) into 0 3.781 * [backup-simplify]: Simplify (+ 1 0) into 1 3.781 * [backup-simplify]: Simplify 1 into 1 3.782 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 3.783 * [backup-simplify]: Simplify (+ (/ -1/2 (* (/ 1 N) (/ 1 N))) (fma 1/3 (/ (/ 1 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (/ 1 (/ 1 N)))) into (- (fma 1/3 (pow N 3) N) (* 1/2 (pow N 2))) 3.783 * [approximate]: Taking taylor expansion of (- (fma 1/3 (pow N 3) N) (* 1/2 (pow N 2))) in (N) around 0 3.783 * [taylor]: Taking taylor expansion of (- (fma 1/3 (pow N 3) N) (* 1/2 (pow N 2))) in N 3.783 * [taylor]: Taking taylor expansion of (fma 1/3 (pow N 3) N) in N 3.783 * [taylor]: Rewrote expression to (+ (* 1/3 (pow N 3)) N) 3.783 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 3.783 * [taylor]: Taking taylor expansion of 1/3 in N 3.783 * [backup-simplify]: Simplify 1/3 into 1/3 3.783 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.783 * [taylor]: Taking taylor expansion of N in N 3.783 * [backup-simplify]: Simplify 0 into 0 3.783 * [backup-simplify]: Simplify 1 into 1 3.783 * [taylor]: Taking taylor expansion of N in N 3.783 * [backup-simplify]: Simplify 0 into 0 3.783 * [backup-simplify]: Simplify 1 into 1 3.783 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 3.783 * [taylor]: Taking taylor expansion of 1/2 in N 3.783 * [backup-simplify]: Simplify 1/2 into 1/2 3.783 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.783 * [taylor]: Taking taylor expansion of N in N 3.783 * [backup-simplify]: Simplify 0 into 0 3.783 * [backup-simplify]: Simplify 1 into 1 3.783 * [taylor]: Taking taylor expansion of (- (fma 1/3 (pow N 3) N) (* 1/2 (pow N 2))) in N 3.783 * [taylor]: Taking taylor expansion of (fma 1/3 (pow N 3) N) in N 3.783 * [taylor]: Rewrote expression to (+ (* 1/3 (pow N 3)) N) 3.783 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 3.783 * [taylor]: Taking taylor expansion of 1/3 in N 3.783 * [backup-simplify]: Simplify 1/3 into 1/3 3.783 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.783 * [taylor]: Taking taylor expansion of N in N 3.783 * [backup-simplify]: Simplify 0 into 0 3.783 * [backup-simplify]: Simplify 1 into 1 3.783 * [taylor]: Taking taylor expansion of N in N 3.783 * [backup-simplify]: Simplify 0 into 0 3.783 * [backup-simplify]: Simplify 1 into 1 3.783 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 3.783 * [taylor]: Taking taylor expansion of 1/2 in N 3.783 * [backup-simplify]: Simplify 1/2 into 1/2 3.784 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.784 * [taylor]: Taking taylor expansion of N in N 3.784 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify 1 into 1 3.784 * [backup-simplify]: Simplify (+ 0 0) into 0 3.785 * [backup-simplify]: Simplify (+ 0 0) into 0 3.785 * [backup-simplify]: Simplify 0 into 0 3.785 * [backup-simplify]: Simplify (+ 0 1) into 1 3.785 * [backup-simplify]: Simplify (+ 1 0) into 1 3.786 * [backup-simplify]: Simplify 1 into 1 3.786 * [backup-simplify]: Simplify (+ 0 0) into 0 3.786 * [backup-simplify]: Simplify (* 1 1) into 1 3.787 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.787 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.788 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.788 * [backup-simplify]: Simplify -1/2 into -1/2 3.788 * [backup-simplify]: Simplify (* 1 1) into 1 3.788 * [backup-simplify]: Simplify (* 1 1) into 1 3.789 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 3.789 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 3.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.791 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.791 * [backup-simplify]: Simplify (- 0) into 0 3.791 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 3.792 * [backup-simplify]: Simplify 1/3 into 1/3 3.792 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 3.792 * [backup-simplify]: Simplify (+ (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N)))) (fma 1/3 (/ (/ 1 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (/ 1 (/ 1 (- N))))) into (- (fma 1/3 (* -1 (pow N 3)) (* -1 N)) (* 1/2 (pow N 2))) 3.792 * [approximate]: Taking taylor expansion of (- (fma 1/3 (* -1 (pow N 3)) (* -1 N)) (* 1/2 (pow N 2))) in (N) around 0 3.792 * [taylor]: Taking taylor expansion of (- (fma 1/3 (* -1 (pow N 3)) (* -1 N)) (* 1/2 (pow N 2))) in N 3.792 * [taylor]: Taking taylor expansion of (fma 1/3 (* -1 (pow N 3)) (* -1 N)) in N 3.793 * [taylor]: Rewrote expression to (+ (* 1/3 (* -1 (pow N 3))) (* -1 N)) 3.793 * [taylor]: Taking taylor expansion of (* 1/3 (* -1 (pow N 3))) in N 3.793 * [taylor]: Taking taylor expansion of 1/3 in N 3.793 * [backup-simplify]: Simplify 1/3 into 1/3 3.793 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 3.793 * [taylor]: Taking taylor expansion of -1 in N 3.793 * [backup-simplify]: Simplify -1 into -1 3.793 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.793 * [taylor]: Taking taylor expansion of N in N 3.793 * [backup-simplify]: Simplify 0 into 0 3.793 * [backup-simplify]: Simplify 1 into 1 3.793 * [taylor]: Taking taylor expansion of (* -1 N) in N 3.793 * [taylor]: Taking taylor expansion of -1 in N 3.793 * [backup-simplify]: Simplify -1 into -1 3.793 * [taylor]: Taking taylor expansion of N in N 3.793 * [backup-simplify]: Simplify 0 into 0 3.793 * [backup-simplify]: Simplify 1 into 1 3.793 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 3.793 * [taylor]: Taking taylor expansion of 1/2 in N 3.793 * [backup-simplify]: Simplify 1/2 into 1/2 3.793 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.793 * [taylor]: Taking taylor expansion of N in N 3.793 * [backup-simplify]: Simplify 0 into 0 3.793 * [backup-simplify]: Simplify 1 into 1 3.793 * [taylor]: Taking taylor expansion of (- (fma 1/3 (* -1 (pow N 3)) (* -1 N)) (* 1/2 (pow N 2))) in N 3.793 * [taylor]: Taking taylor expansion of (fma 1/3 (* -1 (pow N 3)) (* -1 N)) in N 3.793 * [taylor]: Rewrote expression to (+ (* 1/3 (* -1 (pow N 3))) (* -1 N)) 3.793 * [taylor]: Taking taylor expansion of (* 1/3 (* -1 (pow N 3))) in N 3.793 * [taylor]: Taking taylor expansion of 1/3 in N 3.793 * [backup-simplify]: Simplify 1/3 into 1/3 3.793 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 3.793 * [taylor]: Taking taylor expansion of -1 in N 3.793 * [backup-simplify]: Simplify -1 into -1 3.793 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.793 * [taylor]: Taking taylor expansion of N in N 3.793 * [backup-simplify]: Simplify 0 into 0 3.793 * [backup-simplify]: Simplify 1 into 1 3.793 * [taylor]: Taking taylor expansion of (* -1 N) in N 3.793 * [taylor]: Taking taylor expansion of -1 in N 3.793 * [backup-simplify]: Simplify -1 into -1 3.793 * [taylor]: Taking taylor expansion of N in N 3.794 * [backup-simplify]: Simplify 0 into 0 3.794 * [backup-simplify]: Simplify 1 into 1 3.794 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 3.794 * [taylor]: Taking taylor expansion of 1/2 in N 3.794 * [backup-simplify]: Simplify 1/2 into 1/2 3.794 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.794 * [taylor]: Taking taylor expansion of N in N 3.794 * [backup-simplify]: Simplify 0 into 0 3.794 * [backup-simplify]: Simplify 1 into 1 3.794 * [backup-simplify]: Simplify (* -1 0) into 0 3.795 * [backup-simplify]: Simplify (+ 0 0) into 0 3.795 * [backup-simplify]: Simplify (+ 0 0) into 0 3.795 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 3.796 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.797 * [backup-simplify]: Simplify (+ -1 0) into -1 3.797 * [backup-simplify]: Simplify -1 into -1 3.798 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 3.798 * [backup-simplify]: Simplify (+ 0 0) into 0 3.798 * [backup-simplify]: Simplify (* 1 1) into 1 3.799 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.799 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.800 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 3.800 * [backup-simplify]: Simplify -1/2 into -1/2 3.800 * [backup-simplify]: Simplify (* 1 1) into 1 3.800 * [backup-simplify]: Simplify (* 1 1) into 1 3.801 * [backup-simplify]: Simplify (* -1 1) into -1 3.801 * [backup-simplify]: Simplify (* 1/3 -1) into -1/3 3.802 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.803 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 3.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.804 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.805 * [backup-simplify]: Simplify (- 0) into 0 3.805 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 3.805 * [backup-simplify]: Simplify -1/3 into -1/3 3.805 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 3.805 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.806 * [backup-simplify]: Simplify (/ -1/2 (* N N)) into (/ -1/2 (pow N 2)) 3.806 * [approximate]: Taking taylor expansion of (/ -1/2 (pow N 2)) in (N) around 0 3.806 * [taylor]: Taking taylor expansion of (/ -1/2 (pow N 2)) in N 3.806 * [taylor]: Taking taylor expansion of -1/2 in N 3.806 * [backup-simplify]: Simplify -1/2 into -1/2 3.806 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.806 * [taylor]: Taking taylor expansion of N in N 3.806 * [backup-simplify]: Simplify 0 into 0 3.806 * [backup-simplify]: Simplify 1 into 1 3.806 * [backup-simplify]: Simplify (* 1 1) into 1 3.807 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.807 * [taylor]: Taking taylor expansion of (/ -1/2 (pow N 2)) in N 3.807 * [taylor]: Taking taylor expansion of -1/2 in N 3.807 * [backup-simplify]: Simplify -1/2 into -1/2 3.807 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.807 * [taylor]: Taking taylor expansion of N in N 3.807 * [backup-simplify]: Simplify 0 into 0 3.807 * [backup-simplify]: Simplify 1 into 1 3.807 * [backup-simplify]: Simplify (* 1 1) into 1 3.808 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.808 * [backup-simplify]: Simplify -1/2 into -1/2 3.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 3.809 * [backup-simplify]: Simplify 0 into 0 3.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.811 * [backup-simplify]: Simplify 0 into 0 3.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.813 * [backup-simplify]: Simplify 0 into 0 3.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.815 * [backup-simplify]: Simplify 0 into 0 3.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.818 * [backup-simplify]: Simplify 0 into 0 3.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.820 * [backup-simplify]: Simplify 0 into 0 3.821 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 N) 2)) into (/ -1/2 (pow N 2)) 3.821 * [backup-simplify]: Simplify (/ -1/2 (* (/ 1 N) (/ 1 N))) into (* -1/2 (pow N 2)) 3.821 * [approximate]: Taking taylor expansion of (* -1/2 (pow N 2)) in (N) around 0 3.821 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 3.821 * [taylor]: Taking taylor expansion of -1/2 in N 3.821 * [backup-simplify]: Simplify -1/2 into -1/2 3.821 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.821 * [taylor]: Taking taylor expansion of N in N 3.821 * [backup-simplify]: Simplify 0 into 0 3.821 * [backup-simplify]: Simplify 1 into 1 3.821 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 3.821 * [taylor]: Taking taylor expansion of -1/2 in N 3.821 * [backup-simplify]: Simplify -1/2 into -1/2 3.821 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.821 * [taylor]: Taking taylor expansion of N in N 3.821 * [backup-simplify]: Simplify 0 into 0 3.821 * [backup-simplify]: Simplify 1 into 1 3.821 * [backup-simplify]: Simplify (* 1 1) into 1 3.822 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 3.822 * [backup-simplify]: Simplify -1/2 into -1/2 3.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.823 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 1)) into 0 3.823 * [backup-simplify]: Simplify 0 into 0 3.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.825 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.825 * [backup-simplify]: Simplify 0 into 0 3.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.827 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.827 * [backup-simplify]: Simplify 0 into 0 3.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.830 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.830 * [backup-simplify]: Simplify 0 into 0 3.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.833 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.833 * [backup-simplify]: Simplify 0 into 0 3.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.837 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.837 * [backup-simplify]: Simplify 0 into 0 3.837 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 N) 2)) into (/ -1/2 (pow N 2)) 3.837 * [backup-simplify]: Simplify (/ -1/2 (* (/ 1 (- N)) (/ 1 (- N)))) into (* -1/2 (pow N 2)) 3.837 * [approximate]: Taking taylor expansion of (* -1/2 (pow N 2)) in (N) around 0 3.837 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 3.837 * [taylor]: Taking taylor expansion of -1/2 in N 3.837 * [backup-simplify]: Simplify -1/2 into -1/2 3.837 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.837 * [taylor]: Taking taylor expansion of N in N 3.837 * [backup-simplify]: Simplify 0 into 0 3.837 * [backup-simplify]: Simplify 1 into 1 3.837 * [taylor]: Taking taylor expansion of (* -1/2 (pow N 2)) in N 3.837 * [taylor]: Taking taylor expansion of -1/2 in N 3.837 * [backup-simplify]: Simplify -1/2 into -1/2 3.838 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.838 * [taylor]: Taking taylor expansion of N in N 3.838 * [backup-simplify]: Simplify 0 into 0 3.838 * [backup-simplify]: Simplify 1 into 1 3.838 * [backup-simplify]: Simplify (* 1 1) into 1 3.838 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 3.839 * [backup-simplify]: Simplify -1/2 into -1/2 3.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.840 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 1)) into 0 3.840 * [backup-simplify]: Simplify 0 into 0 3.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.842 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.842 * [backup-simplify]: Simplify 0 into 0 3.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.844 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.844 * [backup-simplify]: Simplify 0 into 0 3.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.847 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.847 * [backup-simplify]: Simplify 0 into 0 3.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.850 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.850 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.853 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.853 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify (* -1/2 (pow (/ 1 (- N)) 2)) into (/ -1/2 (pow N 2)) 3.854 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 3.854 * [backup-simplify]: Simplify (/ (/ 1 N) (* N N)) into (/ 1 (pow N 3)) 3.854 * [approximate]: Taking taylor expansion of (/ 1 (pow N 3)) in (N) around 0 3.854 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.854 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.854 * [taylor]: Taking taylor expansion of N in N 3.854 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify 1 into 1 3.854 * [backup-simplify]: Simplify (* 1 1) into 1 3.855 * [backup-simplify]: Simplify (* 1 1) into 1 3.855 * [backup-simplify]: Simplify (/ 1 1) into 1 3.855 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.855 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.855 * [taylor]: Taking taylor expansion of N in N 3.855 * [backup-simplify]: Simplify 0 into 0 3.855 * [backup-simplify]: Simplify 1 into 1 3.856 * [backup-simplify]: Simplify (* 1 1) into 1 3.856 * [backup-simplify]: Simplify (* 1 1) into 1 3.857 * [backup-simplify]: Simplify (/ 1 1) into 1 3.857 * [backup-simplify]: Simplify 1 into 1 3.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.859 * [backup-simplify]: Simplify 0 into 0 3.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.862 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.865 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.869 * [backup-simplify]: Simplify 0 into 0 3.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.873 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.877 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 3)) into (/ 1 (pow N 3)) 3.878 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 N)) (* (/ 1 N) (/ 1 N))) into (pow N 3) 3.878 * [approximate]: Taking taylor expansion of (pow N 3) in (N) around 0 3.878 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.878 * [taylor]: Taking taylor expansion of N in N 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 1 into 1 3.878 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.878 * [taylor]: Taking taylor expansion of N in N 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 1 into 1 3.879 * [backup-simplify]: Simplify (* 1 1) into 1 3.879 * [backup-simplify]: Simplify (* 1 1) into 1 3.879 * [backup-simplify]: Simplify 1 into 1 3.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.880 * [backup-simplify]: Simplify 0 into 0 3.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.882 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.885 * [backup-simplify]: Simplify 0 into 0 3.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.887 * [backup-simplify]: Simplify 0 into 0 3.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.890 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.894 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 3)) into (/ 1 (pow N 3)) 3.894 * [backup-simplify]: Simplify (/ (/ 1 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) into (* -1 (pow N 3)) 3.894 * [approximate]: Taking taylor expansion of (* -1 (pow N 3)) in (N) around 0 3.894 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 3.894 * [taylor]: Taking taylor expansion of -1 in N 3.894 * [backup-simplify]: Simplify -1 into -1 3.894 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.894 * [taylor]: Taking taylor expansion of N in N 3.894 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify 1 into 1 3.894 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 3.894 * [taylor]: Taking taylor expansion of -1 in N 3.894 * [backup-simplify]: Simplify -1 into -1 3.894 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.894 * [taylor]: Taking taylor expansion of N in N 3.894 * [backup-simplify]: Simplify 0 into 0 3.895 * [backup-simplify]: Simplify 1 into 1 3.895 * [backup-simplify]: Simplify (* 1 1) into 1 3.895 * [backup-simplify]: Simplify (* 1 1) into 1 3.896 * [backup-simplify]: Simplify (* -1 1) into -1 3.896 * [backup-simplify]: Simplify -1 into -1 3.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.898 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 3.898 * [backup-simplify]: Simplify 0 into 0 3.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.911 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 3.911 * [backup-simplify]: Simplify 0 into 0 3.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.915 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.915 * [backup-simplify]: Simplify 0 into 0 3.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.919 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.919 * [backup-simplify]: Simplify 0 into 0 3.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.923 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.923 * [backup-simplify]: Simplify 0 into 0 3.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.928 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify (* -1 (pow (/ 1 (- N)) 3)) into (/ 1 (pow N 3)) 3.928 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.929 * [backup-simplify]: Simplify (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)) into (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) 3.929 * [approximate]: Taking taylor expansion of (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) in (N) around 0 3.929 * [taylor]: Taking taylor expansion of (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) in N 3.929 * [taylor]: Rewrote expression to (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) 3.929 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 3.929 * [taylor]: Taking taylor expansion of 1/3 in N 3.929 * [backup-simplify]: Simplify 1/3 into 1/3 3.929 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.929 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.929 * [taylor]: Taking taylor expansion of N in N 3.929 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify 1 into 1 3.929 * [backup-simplify]: Simplify (* 1 1) into 1 3.930 * [backup-simplify]: Simplify (* 1 1) into 1 3.930 * [backup-simplify]: Simplify (/ 1 1) into 1 3.930 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.930 * [taylor]: Taking taylor expansion of N in N 3.930 * [backup-simplify]: Simplify 0 into 0 3.930 * [backup-simplify]: Simplify 1 into 1 3.931 * [backup-simplify]: Simplify (/ 1 1) into 1 3.931 * [taylor]: Taking taylor expansion of (fma 1/3 (/ 1 (pow N 3)) (/ 1 N)) in N 3.931 * [taylor]: Rewrote expression to (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) 3.931 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow N 3))) in N 3.931 * [taylor]: Taking taylor expansion of 1/3 in N 3.931 * [backup-simplify]: Simplify 1/3 into 1/3 3.931 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.931 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.931 * [taylor]: Taking taylor expansion of N in N 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify 1 into 1 3.931 * [backup-simplify]: Simplify (* 1 1) into 1 3.932 * [backup-simplify]: Simplify (* 1 1) into 1 3.932 * [backup-simplify]: Simplify (/ 1 1) into 1 3.932 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.932 * [taylor]: Taking taylor expansion of N in N 3.932 * [backup-simplify]: Simplify 0 into 0 3.932 * [backup-simplify]: Simplify 1 into 1 3.933 * [backup-simplify]: Simplify (/ 1 1) into 1 3.933 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 3.934 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 3.934 * [backup-simplify]: Simplify 1/3 into 1/3 3.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.937 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 3.937 * [backup-simplify]: Simplify (+ 0 0) into 0 3.937 * [backup-simplify]: Simplify 0 into 0 3.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.941 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 3.942 * [backup-simplify]: Simplify (+ 0 1) into 1 3.942 * [backup-simplify]: Simplify 1 into 1 3.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.946 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.947 * [backup-simplify]: Simplify (+ 0 0) into 0 3.947 * [backup-simplify]: Simplify 0 into 0 3.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.950 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.951 * [backup-simplify]: Simplify (+ 0 0) into 0 3.951 * [backup-simplify]: Simplify 0 into 0 3.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.954 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.955 * [backup-simplify]: Simplify (+ 0 0) into 0 3.955 * [backup-simplify]: Simplify 0 into 0 3.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.958 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.959 * [backup-simplify]: Simplify (+ 0 0) into 0 3.959 * [backup-simplify]: Simplify 0 into 0 3.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.963 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.963 * [backup-simplify]: Simplify (+ 0 0) into 0 3.964 * [backup-simplify]: Simplify 0 into 0 3.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 3.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 3.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.968 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 3.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.968 * [backup-simplify]: Simplify (+ 0 0) into 0 3.968 * [backup-simplify]: Simplify 0 into 0 3.969 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (* 1/3 (pow (/ 1 N) 3))) into (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) 3.969 * [backup-simplify]: Simplify (fma 1/3 (/ (/ 1 (/ 1 N)) (* (/ 1 N) (/ 1 N))) (/ 1 (/ 1 N))) into (fma 1/3 (pow N 3) N) 3.969 * [approximate]: Taking taylor expansion of (fma 1/3 (pow N 3) N) in (N) around 0 3.969 * [taylor]: Taking taylor expansion of (fma 1/3 (pow N 3) N) in N 3.969 * [taylor]: Rewrote expression to (+ (* 1/3 (pow N 3)) N) 3.969 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 3.969 * [taylor]: Taking taylor expansion of 1/3 in N 3.969 * [backup-simplify]: Simplify 1/3 into 1/3 3.969 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.969 * [taylor]: Taking taylor expansion of N in N 3.969 * [backup-simplify]: Simplify 0 into 0 3.969 * [backup-simplify]: Simplify 1 into 1 3.969 * [taylor]: Taking taylor expansion of N in N 3.969 * [backup-simplify]: Simplify 0 into 0 3.969 * [backup-simplify]: Simplify 1 into 1 3.969 * [taylor]: Taking taylor expansion of (fma 1/3 (pow N 3) N) in N 3.969 * [taylor]: Rewrote expression to (+ (* 1/3 (pow N 3)) N) 3.969 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 3)) in N 3.969 * [taylor]: Taking taylor expansion of 1/3 in N 3.969 * [backup-simplify]: Simplify 1/3 into 1/3 3.969 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.969 * [taylor]: Taking taylor expansion of N in N 3.969 * [backup-simplify]: Simplify 0 into 0 3.969 * [backup-simplify]: Simplify 1 into 1 3.969 * [taylor]: Taking taylor expansion of N in N 3.969 * [backup-simplify]: Simplify 0 into 0 3.969 * [backup-simplify]: Simplify 1 into 1 3.969 * [backup-simplify]: Simplify (+ 0 0) into 0 3.969 * [backup-simplify]: Simplify 0 into 0 3.970 * [backup-simplify]: Simplify (+ 0 1) into 1 3.970 * [backup-simplify]: Simplify 1 into 1 3.970 * [backup-simplify]: Simplify (+ 0 0) into 0 3.970 * [backup-simplify]: Simplify 0 into 0 3.970 * [backup-simplify]: Simplify (* 1 1) into 1 3.970 * [backup-simplify]: Simplify (* 1 1) into 1 3.971 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 3.971 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 3.971 * [backup-simplify]: Simplify 1/3 into 1/3 3.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.972 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 3.972 * [backup-simplify]: Simplify (+ 0 0) into 0 3.973 * [backup-simplify]: Simplify 0 into 0 3.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.974 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 3.974 * [backup-simplify]: Simplify (+ 0 0) into 0 3.974 * [backup-simplify]: Simplify 0 into 0 3.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.977 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.978 * [backup-simplify]: Simplify (+ 0 0) into 0 3.978 * [backup-simplify]: Simplify 0 into 0 3.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.983 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.984 * [backup-simplify]: Simplify (+ 0 0) into 0 3.984 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.989 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.989 * [backup-simplify]: Simplify (+ 0 0) into 0 3.989 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.994 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.995 * [backup-simplify]: Simplify (+ 0 0) into 0 3.995 * [backup-simplify]: Simplify 0 into 0 3.995 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (* 1 (/ 1 N))) into (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) 3.995 * [backup-simplify]: Simplify (fma 1/3 (/ (/ 1 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) (/ 1 (/ 1 (- N)))) into (fma 1/3 (* -1 (pow N 3)) (* -1 N)) 3.995 * [approximate]: Taking taylor expansion of (fma 1/3 (* -1 (pow N 3)) (* -1 N)) in (N) around 0 3.995 * [taylor]: Taking taylor expansion of (fma 1/3 (* -1 (pow N 3)) (* -1 N)) in N 3.996 * [taylor]: Rewrote expression to (+ (* 1/3 (* -1 (pow N 3))) (* -1 N)) 3.996 * [taylor]: Taking taylor expansion of (* 1/3 (* -1 (pow N 3))) in N 3.996 * [taylor]: Taking taylor expansion of 1/3 in N 3.996 * [backup-simplify]: Simplify 1/3 into 1/3 3.996 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 3.996 * [taylor]: Taking taylor expansion of -1 in N 3.996 * [backup-simplify]: Simplify -1 into -1 3.996 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.996 * [taylor]: Taking taylor expansion of N in N 3.996 * [backup-simplify]: Simplify 0 into 0 3.996 * [backup-simplify]: Simplify 1 into 1 3.996 * [taylor]: Taking taylor expansion of (* -1 N) in N 3.996 * [taylor]: Taking taylor expansion of -1 in N 3.996 * [backup-simplify]: Simplify -1 into -1 3.996 * [taylor]: Taking taylor expansion of N in N 3.996 * [backup-simplify]: Simplify 0 into 0 3.996 * [backup-simplify]: Simplify 1 into 1 3.996 * [taylor]: Taking taylor expansion of (fma 1/3 (* -1 (pow N 3)) (* -1 N)) in N 3.996 * [taylor]: Rewrote expression to (+ (* 1/3 (* -1 (pow N 3))) (* -1 N)) 3.996 * [taylor]: Taking taylor expansion of (* 1/3 (* -1 (pow N 3))) in N 3.996 * [taylor]: Taking taylor expansion of 1/3 in N 3.996 * [backup-simplify]: Simplify 1/3 into 1/3 3.996 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 3.996 * [taylor]: Taking taylor expansion of -1 in N 3.996 * [backup-simplify]: Simplify -1 into -1 3.996 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.996 * [taylor]: Taking taylor expansion of N in N 3.996 * [backup-simplify]: Simplify 0 into 0 3.996 * [backup-simplify]: Simplify 1 into 1 3.996 * [taylor]: Taking taylor expansion of (* -1 N) in N 3.996 * [taylor]: Taking taylor expansion of -1 in N 3.996 * [backup-simplify]: Simplify -1 into -1 3.996 * [taylor]: Taking taylor expansion of N in N 3.996 * [backup-simplify]: Simplify 0 into 0 3.996 * [backup-simplify]: Simplify 1 into 1 3.997 * [backup-simplify]: Simplify (* -1 0) into 0 3.998 * [backup-simplify]: Simplify (+ 0 0) into 0 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 3.999 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.999 * [backup-simplify]: Simplify -1 into -1 4.000 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 4.000 * [backup-simplify]: Simplify (+ 0 0) into 0 4.000 * [backup-simplify]: Simplify 0 into 0 4.001 * [backup-simplify]: Simplify (* 1 1) into 1 4.001 * [backup-simplify]: Simplify (* 1 1) into 1 4.002 * [backup-simplify]: Simplify (* -1 1) into -1 4.002 * [backup-simplify]: Simplify (* 1/3 -1) into -1/3 4.003 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.004 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 4.004 * [backup-simplify]: Simplify -1/3 into -1/3 4.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.006 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 4.007 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 -1)) into 0 4.008 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.008 * [backup-simplify]: Simplify (+ 0 0) into 0 4.008 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.011 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 4.012 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 -1))) into 0 4.014 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.014 * [backup-simplify]: Simplify (+ 0 0) into 0 4.014 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.018 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.019 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.021 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.021 * [backup-simplify]: Simplify (+ 0 0) into 0 4.021 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.025 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.026 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 4.028 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.029 * [backup-simplify]: Simplify (+ 0 0) into 0 4.029 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.033 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.035 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 4.043 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 4.043 * [backup-simplify]: Simplify (+ 0 0) into 0 4.044 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.049 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.050 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 4.053 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))))) into 0 4.053 * [backup-simplify]: Simplify (+ 0 0) into 0 4.053 * [backup-simplify]: Simplify 0 into 0 4.053 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (* -1 (/ 1 (- N)))) into (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) 4.054 * * * [progress]: simplifying candidates 4.054 * * * * [progress]: [ 1 / 131 ] simplifiying candidate # 4.054 * * * * [progress]: [ 2 / 131 ] simplifiying candidate # 4.054 * * * * [progress]: [ 3 / 131 ] simplifiying candidate # 4.054 * * * * [progress]: [ 4 / 131 ] simplifiying candidate # 4.054 * * * * [progress]: [ 5 / 131 ] simplifiying candidate # 4.054 * * * * [progress]: [ 6 / 131 ] simplifiying candidate # 4.054 * * * * [progress]: [ 7 / 131 ] simplifiying candidate # 4.054 * * * * [progress]: [ 8 / 131 ] simplifiying candidate # 4.054 * * * * [progress]: [ 9 / 131 ] simplifiying candidate # 4.054 * * * * [progress]: [ 10 / 131 ] simplifiying candidate # 4.054 * * * * [progress]: [ 11 / 131 ] simplifiying candidate # 4.054 * * * * [progress]: [ 12 / 131 ] simplifiying candidate # 4.054 * * * * [progress]: [ 13 / 131 ] simplifiying candidate # 4.054 * * * * [progress]: [ 14 / 131 ] simplifiying candidate # 4.055 * * * * [progress]: [ 15 / 131 ] simplifiying candidate # 4.055 * * * * [progress]: [ 16 / 131 ] simplifiying candidate # 4.055 * * * * [progress]: [ 17 / 131 ] simplifiying candidate # 4.055 * * * * [progress]: [ 18 / 131 ] simplifiying candidate # 4.055 * * * * [progress]: [ 19 / 131 ] simplifiying candidate # 4.055 * * * * [progress]: [ 20 / 131 ] simplifiying candidate # 4.055 * * * * [progress]: [ 21 / 131 ] simplifiying candidate # 4.055 * * * * [progress]: [ 22 / 131 ] simplifiying candidate #real (real->posit16 (+ (/ -1/2 (* N N)) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))))))> 4.055 * * * * [progress]: [ 23 / 131 ] simplifiying candidate # 4.055 * * * * [progress]: [ 24 / 131 ] simplifiying candidate # 4.055 * * * * [progress]: [ 25 / 131 ] simplifiying candidate # 4.055 * * * * [progress]: [ 26 / 131 ] simplifiying candidate # 4.055 * * * * [progress]: [ 27 / 131 ] simplifiying candidate # 4.055 * * * * [progress]: [ 28 / 131 ] simplifiying candidate # 4.055 * * * * [progress]: [ 29 / 131 ] simplifiying candidate # 4.056 * * * * [progress]: [ 30 / 131 ] simplifiying candidate # 4.056 * * * * [progress]: [ 31 / 131 ] simplifiying candidate # 4.056 * * * * [progress]: [ 32 / 131 ] simplifiying candidate # 4.056 * * * * [progress]: [ 33 / 131 ] simplifiying candidate # 4.056 * * * * [progress]: [ 34 / 131 ] simplifiying candidate # 4.056 * * * * [progress]: [ 35 / 131 ] simplifiying candidate # 4.056 * * * * [progress]: [ 36 / 131 ] simplifiying candidate # 4.056 * * * * [progress]: [ 37 / 131 ] simplifiying candidate # 4.056 * * * * [progress]: [ 38 / 131 ] simplifiying candidate # 4.056 * * * * [progress]: [ 39 / 131 ] simplifiying candidate # 4.056 * * * * [progress]: [ 40 / 131 ] simplifiying candidate # 4.056 * * * * [progress]: [ 41 / 131 ] simplifiying candidate # 4.056 * * * * [progress]: [ 42 / 131 ] simplifiying candidate # 4.056 * * * * [progress]: [ 43 / 131 ] simplifiying candidate # 4.056 * * * * [progress]: [ 44 / 131 ] simplifiying candidate # 4.056 * * * * [progress]: [ 45 / 131 ] simplifiying candidate # 4.057 * * * * [progress]: [ 46 / 131 ] simplifiying candidate # 4.057 * * * * [progress]: [ 47 / 131 ] simplifiying candidate #real (real->posit16 (/ -1/2 (* N N)))) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))))> 4.057 * * * * [progress]: [ 48 / 131 ] simplifiying candidate # 4.057 * * * * [progress]: [ 49 / 131 ] simplifiying candidate # 4.057 * * * * [progress]: [ 50 / 131 ] simplifiying candidate # 4.057 * * * * [progress]: [ 51 / 131 ] simplifiying candidate # 4.057 * * * * [progress]: [ 52 / 131 ] simplifiying candidate # 4.057 * * * * [progress]: [ 53 / 131 ] simplifiying candidate # 4.057 * * * * [progress]: [ 54 / 131 ] simplifiying candidate # 4.057 * * * * [progress]: [ 55 / 131 ] simplifiying candidate # 4.057 * * * * [progress]: [ 56 / 131 ] simplifiying candidate # 4.057 * * * * [progress]: [ 57 / 131 ] simplifiying candidate # 4.057 * * * * [progress]: [ 58 / 131 ] simplifiying candidate # 4.057 * * * * [progress]: [ 59 / 131 ] simplifiying candidate # 4.057 * * * * [progress]: [ 60 / 131 ] simplifiying candidate # 4.058 * * * * [progress]: [ 61 / 131 ] simplifiying candidate # 4.058 * * * * [progress]: [ 62 / 131 ] simplifiying candidate # 4.058 * * * * [progress]: [ 63 / 131 ] simplifiying candidate # 4.058 * * * * [progress]: [ 64 / 131 ] simplifiying candidate # 4.058 * * * * [progress]: [ 65 / 131 ] simplifiying candidate # 4.058 * * * * [progress]: [ 66 / 131 ] simplifiying candidate # 4.058 * * * * [progress]: [ 67 / 131 ] simplifiying candidate # 4.058 * * * * [progress]: [ 68 / 131 ] simplifiying candidate # 4.058 * * * * [progress]: [ 69 / 131 ] simplifiying candidate # 4.058 * * * * [progress]: [ 70 / 131 ] simplifiying candidate # 4.058 * * * * [progress]: [ 71 / 131 ] simplifiying candidate # 4.058 * * * * [progress]: [ 72 / 131 ] simplifiying candidate # 4.058 * * * * [progress]: [ 73 / 131 ] simplifiying candidate # 4.058 * * * * [progress]: [ 74 / 131 ] simplifiying candidate # 4.058 * * * * [progress]: [ 75 / 131 ] simplifiying candidate # 4.059 * * * * [progress]: [ 76 / 131 ] simplifiying candidate # 4.059 * * * * [progress]: [ 77 / 131 ] simplifiying candidate # 4.059 * * * * [progress]: [ 78 / 131 ] simplifiying candidate # 4.059 * * * * [progress]: [ 79 / 131 ] simplifiying candidate # 4.059 * * * * [progress]: [ 80 / 131 ] simplifiying candidate # 4.059 * * * * [progress]: [ 81 / 131 ] simplifiying candidate # 4.059 * * * * [progress]: [ 82 / 131 ] simplifiying candidate # 4.059 * * * * [progress]: [ 83 / 131 ] simplifiying candidate # 4.059 * * * * [progress]: [ 84 / 131 ] simplifiying candidate # 4.059 * * * * [progress]: [ 85 / 131 ] simplifiying candidate # 4.059 * * * * [progress]: [ 86 / 131 ] simplifiying candidate # 4.059 * * * * [progress]: [ 87 / 131 ] simplifiying candidate # 4.059 * * * * [progress]: [ 88 / 131 ] simplifiying candidate # 4.059 * * * * [progress]: [ 89 / 131 ] simplifiying candidate # 4.060 * * * * [progress]: [ 90 / 131 ] simplifiying candidate # 4.060 * * * * [progress]: [ 91 / 131 ] simplifiying candidate # 4.060 * * * * [progress]: [ 92 / 131 ] simplifiying candidate # 4.060 * * * * [progress]: [ 93 / 131 ] simplifiying candidate # 4.060 * * * * [progress]: [ 94 / 131 ] simplifiying candidate # 4.060 * * * * [progress]: [ 95 / 131 ] simplifiying candidate # 4.060 * * * * [progress]: [ 96 / 131 ] simplifiying candidate # 4.060 * * * * [progress]: [ 97 / 131 ] simplifiying candidate # 4.060 * * * * [progress]: [ 98 / 131 ] simplifiying candidate # 4.060 * * * * [progress]: [ 99 / 131 ] simplifiying candidate # 4.060 * * * * [progress]: [ 100 / 131 ] simplifiying candidate # 4.060 * * * * [progress]: [ 101 / 131 ] simplifiying candidate # 4.060 * * * * [progress]: [ 102 / 131 ] simplifiying candidate # 4.060 * * * * [progress]: [ 103 / 131 ] simplifiying candidate # 4.060 * * * * [progress]: [ 104 / 131 ] simplifiying candidate # 4.061 * * * * [progress]: [ 105 / 131 ] simplifiying candidate # 4.061 * * * * [progress]: [ 106 / 131 ] simplifiying candidate # 4.061 * * * * [progress]: [ 107 / 131 ] simplifiying candidate # 4.061 * * * * [progress]: [ 108 / 131 ] simplifiying candidate #real (real->posit16 (/ (/ 1 N) (* N N)))) (/ 1 N))))> 4.061 * * * * [progress]: [ 109 / 131 ] simplifiying candidate # 4.061 * * * * [progress]: [ 110 / 131 ] simplifiying candidate # 4.061 * * * * [progress]: [ 111 / 131 ] simplifiying candidate # 4.061 * * * * [progress]: [ 112 / 131 ] simplifiying candidate # 4.061 * * * * [progress]: [ 113 / 131 ] simplifiying candidate # 4.061 * * * * [progress]: [ 114 / 131 ] simplifiying candidate # 4.061 * * * * [progress]: [ 115 / 131 ] simplifiying candidate # 4.061 * * * * [progress]: [ 116 / 131 ] simplifiying candidate # 4.061 * * * * [progress]: [ 117 / 131 ] simplifiying candidate # 4.061 * * * * [progress]: [ 118 / 131 ] simplifiying candidate # 4.061 * * * * [progress]: [ 119 / 131 ] simplifiying candidate #real (real->posit16 (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))))))> 4.061 * * * * [progress]: [ 120 / 131 ] simplifiying candidate # 4.062 * * * * [progress]: [ 121 / 131 ] simplifiying candidate # 4.062 * * * * [progress]: [ 122 / 131 ] simplifiying candidate # 4.062 * * * * [progress]: [ 123 / 131 ] simplifiying candidate # 4.062 * * * * [progress]: [ 124 / 131 ] simplifiying candidate # 4.062 * * * * [progress]: [ 125 / 131 ] simplifiying candidate # 4.062 * * * * [progress]: [ 126 / 131 ] simplifiying candidate # 4.062 * * * * [progress]: [ 127 / 131 ] simplifiying candidate # 4.062 * * * * [progress]: [ 128 / 131 ] simplifiying candidate # 4.062 * * * * [progress]: [ 129 / 131 ] simplifiying candidate # 4.062 * * * * [progress]: [ 130 / 131 ] simplifiying candidate # 4.062 * * * * [progress]: [ 131 / 131 ] simplifiying candidate # 4.064 * [simplify]: Simplifying: (expm1 (+ (/ -1/2 (* N N)) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (log1p (+ (/ -1/2 (* N N)) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (* (exp (/ -1/2 (* N N))) (exp (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (log (+ (/ -1/2 (* N N)) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (exp (+ (/ -1/2 (* N N)) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (* (cbrt (+ (/ -1/2 (* N N)) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (+ (/ -1/2 (* N N)) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))))) (cbrt (+ (/ -1/2 (* N N)) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (* (* (+ (/ -1/2 (* N N)) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (+ (/ -1/2 (* N N)) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (+ (/ -1/2 (* N N)) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (sqrt (+ (/ -1/2 (* N N)) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (sqrt (+ (/ -1/2 (* N N)) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (+ (pow (/ -1/2 (* N N)) 3) (pow (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)) 3)) (+ (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (- (* (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (* (/ -1/2 (* N N)) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))))) (- (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (* (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (- (/ -1/2 (* N N)) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (+ (/ -1/2 (* N N)) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (+ (/ -1/2 (* N N)) (* 1/3 (/ (/ 1 N) (* N N)))) (real->posit16 (+ (/ -1/2 (* N N)) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (expm1 (/ -1/2 (* N N))) (log1p (/ -1/2 (* N N))) (- (log -1/2) (+ (log N) (log N))) (- (log -1/2) (log (* N N))) (log (/ -1/2 (* N N))) (exp (/ -1/2 (* N N))) (/ (* (* -1/2 -1/2) -1/2) (* (* (* N N) N) (* (* N N) N))) (/ (* (* -1/2 -1/2) -1/2) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ -1/2 (* N N))) (cbrt (/ -1/2 (* N N)))) (cbrt (/ -1/2 (* N N))) (* (* (/ -1/2 (* N N)) (/ -1/2 (* N N))) (/ -1/2 (* N N))) (sqrt (/ -1/2 (* N N))) (sqrt (/ -1/2 (* N N))) (- -1/2) (- (* N N)) (/ (* (cbrt -1/2) (cbrt -1/2)) N) (/ (cbrt -1/2) N) (/ (sqrt -1/2) N) (/ (sqrt -1/2) N) (/ 1 N) (/ -1/2 N) (/ 1 (* N N)) (/ (* N N) -1/2) (/ -1/2 N) (/ (* N N) (cbrt -1/2)) (/ (* N N) (sqrt -1/2)) (/ (* N N) -1/2) (real->posit16 (/ -1/2 (* N N))) (expm1 (/ (/ 1 N) (* N N))) (log1p (/ (/ 1 N) (* N N))) (- -1 (+ 1 1)) (- -1 2) (- -1 (+ 1 1)) (- -1 (* 2 1)) (- (- 1) (+ 1 1)) (- (- 1) 2) (- (- 1) (+ 1 1)) (- (- 1) (* 2 1)) (- (- (log N)) (+ (log N) (log N))) (- (- (log N)) (log (* N N))) (- (- 0 (log N)) (+ (log N) (log N))) (- (- 0 (log N)) (log (* N N))) (- (- (log 1) (log N)) (+ (log N) (log N))) (- (- (log 1) (log N)) (log (* N N))) (- (log (/ 1 N)) (+ (log N) (log N))) (- (log (/ 1 N)) (log (* N N))) (log (/ (/ 1 N) (* N N))) (exp (/ (/ 1 N) (* N N))) (/ (/ (* (* 1 1) 1) (* (* N N) N)) (* (* (* N N) N) (* (* N N) N))) (/ (/ (* (* 1 1) 1) (* (* N N) N)) (* (* (* N N) (* N N)) (* N N))) (/ (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (* (* (* N N) N) (* (* N N) N))) (/ (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ (/ 1 N) (* N N))) (cbrt (/ (/ 1 N) (* N N)))) (cbrt (/ (/ 1 N) (* N N))) (* (* (/ (/ 1 N) (* N N)) (/ (/ 1 N) (* N N))) (/ (/ 1 N) (* N N))) (sqrt (/ (/ 1 N) (* N N))) (sqrt (/ (/ 1 N) (* N N))) (- (/ 1 N)) (- (* N N)) (/ (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) N) (/ (cbrt (/ 1 N)) N) (/ (sqrt (/ 1 N)) N) (/ (sqrt (/ 1 N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) N) (/ (/ (cbrt 1) (cbrt N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt N)) N) (/ (/ (cbrt 1) (sqrt N)) N) (/ (/ (* (cbrt 1) (cbrt 1)) 1) N) (/ (/ (cbrt 1) N) N) (/ (/ (sqrt 1) (* (cbrt N) (cbrt N))) N) (/ (/ (sqrt 1) (cbrt N)) N) (/ (/ (sqrt 1) (sqrt N)) N) (/ (/ (sqrt 1) (sqrt N)) N) (/ (/ (sqrt 1) 1) N) (/ (/ (sqrt 1) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) N) (/ (/ 1 (cbrt N)) N) (/ (/ 1 (sqrt N)) N) (/ (/ 1 (sqrt N)) N) (/ (/ 1 1) N) (/ (/ 1 N) N) (/ 1 N) (/ (/ 1 N) N) (/ 1 N) (/ (/ 1 N) N) (/ 1 (* N N)) (/ (* N N) (/ 1 N)) (/ (/ 1 N) N) (/ (* N N) (cbrt (/ 1 N))) (/ (* N N) (sqrt (/ 1 N))) (/ (* N N) (/ (cbrt 1) (cbrt N))) (/ (* N N) (/ (cbrt 1) (sqrt N))) (/ (* N N) (/ (cbrt 1) N)) (/ (* N N) (/ (sqrt 1) (cbrt N))) (/ (* N N) (/ (sqrt 1) (sqrt N))) (/ (* N N) (/ (sqrt 1) N)) (/ (* N N) (/ 1 (cbrt N))) (/ (* N N) (/ 1 (sqrt N))) (/ (* N N) (/ 1 N)) (/ (* N N) (/ 1 N)) (/ (* N N) (/ 1 N)) (* (* N N) N) (real->posit16 (/ (/ 1 N) (* N N))) (expm1 (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (log1p (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (* 1/3 (/ (/ 1 N) (* N N))) (log (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (exp (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (* (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)))) (cbrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (* (* (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N)) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (sqrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (sqrt (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (real->posit16 (fma 1/3 (/ (/ 1 N) (* N N)) (/ 1 N))) (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (/ -1/2 (pow N 2)) (/ -1/2 (pow N 2)) (/ -1/2 (pow N 2)) (/ 1 (pow N 3)) (/ 1 (pow N 3)) (/ 1 (pow N 3)) (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) 4.067 * * [simplify]: iteration 0: 190 enodes 4.169 * * [simplify]: iteration 1: 445 enodes 4.374 * * [simplify]: iteration 2: 1082 enodes 4.626 * * [simplify]: iteration 3: 2085 enodes 5.002 * * [simplify]: iteration complete: 2085 enodes 5.002 * * [simplify]: Extracting #0: cost 72 inf + 0 5.003 * * [simplify]: Extracting #1: cost 472 inf + 2 5.006 * * [simplify]: Extracting #2: cost 618 inf + 12130 5.019 * * [simplify]: Extracting #3: cost 214 inf + 80188 5.045 * * [simplify]: Extracting #4: cost 47 inf + 116603 5.082 * * [simplify]: Extracting #5: cost 0 inf + 132335 5.107 * [simplify]: Simplified to: (expm1 (+ (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)) (/ -1/2 (* N N)))) (log1p (+ (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)) (/ -1/2 (* N N)))) (exp (+ (/ -1/2 (* N N)) (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)))) (log (+ (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)) (/ -1/2 (* N N)))) (exp (+ (/ -1/2 (* N N)) (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)))) (* (cbrt (+ (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)) (/ -1/2 (* N N)))) (cbrt (+ (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)) (/ -1/2 (* N N))))) (cbrt (+ (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)) (/ -1/2 (* N N)))) (* (* (+ (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)) (/ -1/2 (* N N))) (+ (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)) (/ -1/2 (* N N)))) (+ (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)) (/ -1/2 (* N N)))) (sqrt (+ (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)) (/ -1/2 (* N N)))) (sqrt (+ (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)) (/ -1/2 (* N N)))) (fma (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)) (* (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)) (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N))) (/ -1/8 (* (* N N) (* (* N N) (* N N))))) (fma (/ -1/2 (* N N)) (/ -1/2 (* N N)) (* (- (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)) (/ -1/2 (* N N))) (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)))) (- (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (* (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)) (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)))) (- (/ -1/2 (* N N)) (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N))) (+ (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)) (/ -1/2 (* N N))) (- (/ 1/3 (* N (* N N))) (/ 1/2 (* N N))) (real->posit16 (+ (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)) (/ -1/2 (* N N)))) (expm1 (/ -1/2 (* N N))) (log1p (/ -1/2 (* N N))) (log (/ -1/2 (* N N))) (log (/ -1/2 (* N N))) (log (/ -1/2 (* N N))) (exp (/ -1/2 (* N N))) (/ -1/8 (* (* N N) (* (* N N) (* N N)))) (/ -1/8 (* (* N N) (* (* N N) (* N N)))) (* (cbrt (/ -1/2 (* N N))) (cbrt (/ -1/2 (* N N)))) (cbrt (/ -1/2 (* N N))) (/ -1/8 (* (* N N) (* (* N N) (* N N)))) (sqrt (/ -1/2 (* N N))) (sqrt (/ -1/2 (* N N))) 1/2 (- (* N N)) (/ (* (cbrt -1/2) (cbrt -1/2)) N) (/ (cbrt -1/2) N) (/ (sqrt -1/2) N) (/ (sqrt -1/2) N) (/ 1 N) (/ -1/2 N) (/ 1 (* N N)) (/ N (/ -1/2 N)) (/ -1/2 N) (* (/ N (cbrt -1/2)) N) (/ (* N N) (sqrt -1/2)) (/ N (/ -1/2 N)) (real->posit16 (/ -1/2 (* N N))) (expm1 (/ 1 (* N (* N N)))) (log1p (/ 1 (* N (* N N)))) -3 -3 -3 -3 -3 -3 -3 -3 (- (* 3 (log N))) (- (* 3 (log N))) (- (* 3 (log N))) (- (* 3 (log N))) (- (* 3 (log N))) (- (* 3 (log N))) (- (* 3 (log N))) (- (* 3 (log N))) (- (* 3 (log N))) (exp (/ 1 (* N (* N N)))) (/ (/ (/ 1 (* N (* N N))) (* N (* N N))) (* N (* N N))) (/ (/ (/ 1 (* N (* N N))) (* N (* N N))) (* N (* N N))) (* (* (/ 1 (* N (* N N))) (/ 1 (* N (* N N)))) (/ 1 (* N (* N N)))) (* (* (/ 1 (* N (* N N))) (/ 1 (* N (* N N)))) (/ 1 (* N (* N N)))) (* (cbrt (/ 1 (* N (* N N)))) (cbrt (/ 1 (* N (* N N))))) (cbrt (/ 1 (* N (* N N)))) (* (* (/ 1 (* N (* N N))) (/ 1 (* N (* N N)))) (/ 1 (* N (* N N)))) (sqrt (/ 1 (* N (* N N)))) (sqrt (/ 1 (* N (* N N)))) (/ -1 N) (- (* N N)) (/ (cbrt (/ 1 N)) (/ N (cbrt (/ 1 N)))) (/ (cbrt (/ 1 N)) N) (/ (sqrt (/ 1 N)) N) (/ (sqrt (/ 1 N)) N) (/ (/ 1 N) (* (cbrt N) (cbrt N))) (/ (/ 1 (cbrt N)) N) (/ (/ 1 N) (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ 1 N) (/ 1 (* N N)) (/ (/ 1 N) (* (cbrt N) (cbrt N))) (/ (/ 1 (cbrt N)) N) (/ (/ 1 N) (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ 1 N) (/ 1 (* N N)) (/ (/ 1 N) (* (cbrt N) (cbrt N))) (/ (/ 1 (cbrt N)) N) (/ (/ 1 N) (sqrt N)) (/ (/ 1 N) (sqrt N)) (/ 1 N) (/ 1 (* N N)) (/ 1 N) (/ 1 (* N N)) (/ 1 N) (/ 1 (* N N)) (/ 1 (* N N)) (* N (* N N)) (/ 1 (* N N)) (/ (* N N) (cbrt (/ 1 N))) (* (/ N (sqrt (/ 1 N))) N) (* (* N N) (cbrt N)) (* (* N N) (sqrt N)) (* N (* N N)) (* (* N N) (cbrt N)) (* (* N N) (sqrt N)) (* N (* N N)) (* (* N N) (cbrt N)) (* (* N N) (sqrt N)) (* N (* N N)) (* N (* N N)) (* N (* N N)) (* N (* N N)) (real->posit16 (/ 1 (* N (* N N)))) (expm1 (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N))) (log1p (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N))) (/ 1/3 (* N (* N N))) (log (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N))) (exp (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N))) (* (cbrt (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N))) (cbrt (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)))) (cbrt (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N))) (* (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)) (* (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)) (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)))) (sqrt (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N))) (sqrt (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N))) (real->posit16 (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N))) (+ (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)) (/ -1/2 (* N N))) (+ (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)) (/ -1/2 (* N N))) (+ (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)) (/ -1/2 (* N N))) (/ -1/2 (* N N)) (/ -1/2 (* N N)) (/ -1/2 (* N N)) (/ 1 (* N (* N N))) (/ 1 (* N (* N N))) (/ 1 (* N (* N N))) (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)) (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)) (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N)) 5.114 * * * [progress]: adding candidates to table 5.549 * [progress]: [Phase 3 of 3] Extracting. 5.549 * * [regime]: Finding splitpoints for: (# #) 5.549 * * * [regime-changes]: Trying 1 branch expressions: (N) 5.549 * * * * [regimes]: Trying to branch on N from (# #) 5.592 * * * [regime]: Found split indices: #