26.472 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.055 * * * [progress]: [2/2] Setting up program. 0.061 * [progress]: [Phase 2 of 3] Improving. 0.062 * [simplify]: Simplifying: (- (atan (+ N 1.0)) (atan N)) 0.062 * * [simplify]: iteration 0: 6 enodes 0.063 * * [simplify]: iteration 1: 9 enodes 0.065 * * [simplify]: iteration 2: 10 enodes 0.067 * * [simplify]: iteration complete: 10 enodes 0.067 * * [simplify]: Extracting #0: cost 1 inf + 0 0.067 * * [simplify]: Extracting #1: cost 4 inf + 0 0.067 * * [simplify]: Extracting #2: cost 6 inf + 0 0.067 * * [simplify]: Extracting #3: cost 6 inf + 1 0.068 * * [simplify]: Extracting #4: cost 0 inf + 735 0.068 * [simplify]: Simplified to: (- (atan (+ 1.0 N)) (atan N)) 0.069 * * [progress]: iteration 1 / 4 0.069 * * * [progress]: picking best candidate 0.075 * * * * [pick]: Picked # 0.076 * * * [progress]: localizing error 0.092 * * * [progress]: generating rewritten candidates 0.093 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.104 * * * [progress]: generating series expansions 0.104 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.105 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.105 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.105 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.105 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.105 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.105 * [taylor]: Taking taylor expansion of (atan N) in N 0.105 * [backup-simplify]: Simplify (atan N) into (atan N) 0.105 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.105 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.105 * [backup-simplify]: Simplify (atan (+ N 1.0)) into (atan (+ N 1.0)) 0.105 * [taylor]: Taking taylor expansion of (atan N) in N 0.105 * [backup-simplify]: Simplify (atan N) into (atan N) 0.106 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N)) 0.106 * [backup-simplify]: Simplify (+ (atan (+ N 1.0)) (- (atan N))) into (- (atan (+ N 1.0)) (atan N)) 0.106 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.107 * [backup-simplify]: Simplify (- 0) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (- 0) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (- (atan (+ N 1.0)) (atan N)) into (- (atan (+ N 1.0)) (atan N)) 0.111 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.111 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.112 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.112 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.112 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.112 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.112 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.112 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.112 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.112 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1.0)) into (atan (+ (/ 1 N) 1.0)) 0.112 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.112 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) 0.112 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) 0.112 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1.0)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.113 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (- 0) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (- 0) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (- 0) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (- 0) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1.0)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1.0)) (atan N)) 0.118 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1.0)) (atan (/ 1 (- N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.118 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.118 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.118 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.119 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.119 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.119 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.119 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.119 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.119 * [backup-simplify]: Simplify (atan (- 1.0 (/ 1 N))) into (atan (- 1.0 (/ 1 N))) 0.119 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.119 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N)) 0.119 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) 0.119 * [backup-simplify]: Simplify (+ (atan (- 1.0 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.120 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) 0.120 * [backup-simplify]: Simplify (- 0) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (- 0) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (- 0) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (- 0) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (- 0) into 0 0.124 * [backup-simplify]: Simplify (+ 0 0) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (- 0) into 0 0.124 * [backup-simplify]: Simplify (+ 0 0) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (- (atan (- 1.0 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1.0)) (atan N)) 0.125 * * * [progress]: simplifying candidates 0.126 * [simplify]: Simplifying: (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (fma 1 (atan (+ N 1.0)) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma 1 (atan (+ N 1.0)) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma 1 (atan (+ N 1.0)) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (expm1 (- (atan (+ N 1.0)) (atan N))) (log1p (- (atan (+ N 1.0)) (atan N))) (- (atan N)) (- (atan N)) (- (atan N)) (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) 0.127 * * [simplify]: iteration 0: 62 enodes 0.138 * * [simplify]: iteration 1: 136 enodes 0.197 * * [simplify]: iteration 2: 503 enodes 1.176 * * [simplify]: iteration 3: 4363 enodes 7.472 * * [simplify]: iteration complete: 5000 enodes 7.472 * * [simplify]: Extracting #0: cost 20 inf + 0 7.473 * * [simplify]: Extracting #1: cost 340 inf + 1 7.478 * * [simplify]: Extracting #2: cost 1099 inf + 8880 7.498 * * [simplify]: Extracting #3: cost 531 inf + 135135 7.537 * * [simplify]: Extracting #4: cost 133 inf + 272159 7.583 * * [simplify]: Extracting #5: cost 10 inf + 321659 7.650 * * [simplify]: Extracting #6: cost 2 inf + 324121 7.710 * * [simplify]: Extracting #7: cost 0 inf + 324837 7.772 * [simplify]: Simplified to: (- (* (cbrt (atan (+ 1.0 N))) (* (cbrt (atan (+ 1.0 N))) (cbrt (atan (+ 1.0 N))))) (atan N)) 0 (- (* (cbrt (atan (+ 1.0 N))) (* (cbrt (atan (+ 1.0 N))) (cbrt (atan (+ 1.0 N))))) (atan N)) 0 (- (* (cbrt (atan (+ 1.0 N))) (* (cbrt (atan (+ 1.0 N))) (cbrt (atan (+ 1.0 N))))) (atan N)) 0 (- (atan (+ 1.0 N)) (atan N)) 0 (- (atan (+ 1.0 N)) (atan N)) 0 (- (atan (+ 1.0 N)) (atan N)) 0 (- (atan (+ 1.0 N)) (atan N)) 0 (- (atan (+ 1.0 N)) (atan N)) 0 (- (atan (+ 1.0 N)) (atan N)) 0 (expm1 (- (atan (+ 1.0 N)) (atan N))) (log1p (- (atan (+ 1.0 N)) (atan N))) (- (atan N)) (- (atan N)) (- (atan N)) (- 1.0 0) (fma N (+ 1.0 N) 1) (exp (- (atan (+ 1.0 N)) (atan N))) (log (- (atan (+ 1.0 N)) (atan N))) (exp (- (atan (+ 1.0 N)) (atan N))) (* (cbrt (- (atan (+ 1.0 N)) (atan N))) (cbrt (- (atan (+ 1.0 N)) (atan N)))) (cbrt (- (atan (+ 1.0 N)) (atan N))) (* (- (atan (+ 1.0 N)) (atan N)) (* (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N)))) (sqrt (- (atan (+ 1.0 N)) (atan N))) (sqrt (- (atan (+ 1.0 N)) (atan N))) (- (* (atan (+ 1.0 N)) (* (atan (+ 1.0 N)) (atan (+ 1.0 N)))) (* (atan N) (* (atan N) (atan N)))) (fma (atan N) (+ (atan N) (atan (+ 1.0 N))) (* (atan (+ 1.0 N)) (atan (+ 1.0 N)))) (- (atan N)) (* (+ (atan N) (atan (+ 1.0 N))) (- (atan (+ 1.0 N)) (atan N))) (+ (atan N) (atan (+ 1.0 N))) (+ (sqrt (atan (+ 1.0 N))) (sqrt (atan N))) (- (sqrt (atan (+ 1.0 N))) (sqrt (atan N))) (- (atan (+ 1.0 N)) (atan N)) (- (atan N)) (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N)) (- (atan (+ 1.0 N)) (atan N)) 7.774 * * * [progress]: adding candidates to table 7.880 * * [progress]: iteration 2 / 4 7.880 * * * [progress]: picking best candidate 7.887 * * * * [pick]: Picked # 7.887 * * * [progress]: localizing error 7.903 * * * [progress]: generating rewritten candidates 7.903 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 7.949 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 7.949 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 7.984 * * * [progress]: generating series expansions 7.984 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 7.984 * [backup-simplify]: Simplify (- (+ N 1.0) N) into 1.0 7.984 * [approximate]: Taking taylor expansion of 1.0 in (N) around 0 7.984 * [taylor]: Taking taylor expansion of 1.0 in N 7.984 * [backup-simplify]: Simplify 1.0 into 1.0 7.984 * [taylor]: Taking taylor expansion of 1.0 in N 7.984 * [backup-simplify]: Simplify 1.0 into 1.0 7.984 * [backup-simplify]: Simplify 1.0 into 1.0 7.984 * [backup-simplify]: Simplify 0 into 0 7.984 * [backup-simplify]: Simplify 0 into 0 7.985 * [backup-simplify]: Simplify 0 into 0 7.985 * [backup-simplify]: Simplify 0 into 0 7.985 * [backup-simplify]: Simplify 0 into 0 7.985 * [backup-simplify]: Simplify 0 into 0 7.985 * [backup-simplify]: Simplify 1.0 into 1.0 7.985 * [backup-simplify]: Simplify (- (+ (/ 1 N) 1.0) (/ 1 N)) into 1.0 7.985 * [approximate]: Taking taylor expansion of 1.0 in (N) around 0 7.985 * [taylor]: Taking taylor expansion of 1.0 in N 7.985 * [backup-simplify]: Simplify 1.0 into 1.0 7.985 * [taylor]: Taking taylor expansion of 1.0 in N 7.985 * [backup-simplify]: Simplify 1.0 into 1.0 7.985 * [backup-simplify]: Simplify 1.0 into 1.0 7.985 * [backup-simplify]: Simplify 0 into 0 7.985 * [backup-simplify]: Simplify 0 into 0 7.985 * [backup-simplify]: Simplify 0 into 0 7.985 * [backup-simplify]: Simplify 0 into 0 7.985 * [backup-simplify]: Simplify 0 into 0 7.985 * [backup-simplify]: Simplify 0 into 0 7.985 * [backup-simplify]: Simplify 1.0 into 1.0 7.986 * [backup-simplify]: Simplify (- (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into 1.0 7.986 * [approximate]: Taking taylor expansion of 1.0 in (N) around 0 7.986 * [taylor]: Taking taylor expansion of 1.0 in N 7.986 * [backup-simplify]: Simplify 1.0 into 1.0 7.986 * [taylor]: Taking taylor expansion of 1.0 in N 7.986 * [backup-simplify]: Simplify 1.0 into 1.0 7.986 * [backup-simplify]: Simplify 1.0 into 1.0 7.986 * [backup-simplify]: Simplify 0 into 0 7.986 * [backup-simplify]: Simplify 0 into 0 7.986 * [backup-simplify]: Simplify 0 into 0 7.986 * [backup-simplify]: Simplify 0 into 0 7.986 * [backup-simplify]: Simplify 0 into 0 7.986 * [backup-simplify]: Simplify 0 into 0 7.986 * [backup-simplify]: Simplify 1.0 into 1.0 7.986 * * * * [progress]: [ 2 / 3 ] generating series at (2) 7.986 * [backup-simplify]: Simplify (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.986 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in (N) around 0 7.986 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N 7.987 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.987 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) in N 7.987 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.988 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.988 * [backup-simplify]: Simplify 0 into 0 7.988 * [backup-simplify]: Simplify 0 into 0 7.988 * [backup-simplify]: Simplify 0 into 0 7.988 * [backup-simplify]: Simplify 0 into 0 7.988 * [backup-simplify]: Simplify 0 into 0 7.988 * [backup-simplify]: Simplify 0 into 0 7.988 * [backup-simplify]: Simplify (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.989 * [backup-simplify]: Simplify (atan2 (- (+ (/ 1 N) 1.0) (/ 1 N)) (+ 1 (* (+ (/ 1 N) 1.0) (/ 1 N)))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 7.989 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in (N) around 0 7.989 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 7.989 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 7.989 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) in N 7.989 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 7.990 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) into (atan2 1.0 (+ (/ 1 (pow N 2)) (+ (* 1.0 (/ 1 N)) 1))) 7.990 * [backup-simplify]: Simplify 0 into 0 7.990 * [backup-simplify]: Simplify 0 into 0 7.990 * [backup-simplify]: Simplify 0 into 0 7.990 * [backup-simplify]: Simplify 0 into 0 7.990 * [backup-simplify]: Simplify 0 into 0 7.990 * [backup-simplify]: Simplify 0 into 0 7.990 * [backup-simplify]: Simplify (atan2 1.0 (+ (/ 1 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 (/ 1 N))) 1))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.991 * [backup-simplify]: Simplify (atan2 (- (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) (+ 1 (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 7.991 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 7.991 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 7.991 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 7.991 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 7.992 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 7.992 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) into (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 7.992 * [backup-simplify]: Simplify 0 into 0 7.992 * [backup-simplify]: Simplify 0 into 0 7.992 * [backup-simplify]: Simplify 0 into 0 7.992 * [backup-simplify]: Simplify 0 into 0 7.992 * [backup-simplify]: Simplify 0 into 0 7.992 * [backup-simplify]: Simplify 0 into 0 7.993 * [backup-simplify]: Simplify (atan2 1.0 (- (+ (/ 1 (pow (/ 1 (- N)) 2)) 1) (* 1.0 (/ 1 (/ 1 (- N)))))) into (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) 7.993 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 7.993 * [backup-simplify]: Simplify (* (+ N 1.0) N) into (* N (+ N 1.0)) 7.993 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 7.993 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.993 * [taylor]: Taking taylor expansion of N in N 7.993 * [backup-simplify]: Simplify 0 into 0 7.993 * [backup-simplify]: Simplify 1 into 1 7.993 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.993 * [taylor]: Taking taylor expansion of N in N 7.993 * [backup-simplify]: Simplify 0 into 0 7.993 * [backup-simplify]: Simplify 1 into 1 7.993 * [taylor]: Taking taylor expansion of 1.0 in N 7.993 * [backup-simplify]: Simplify 1.0 into 1.0 7.993 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 7.993 * [taylor]: Taking taylor expansion of N in N 7.993 * [backup-simplify]: Simplify 0 into 0 7.993 * [backup-simplify]: Simplify 1 into 1 7.993 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.993 * [taylor]: Taking taylor expansion of N in N 7.993 * [backup-simplify]: Simplify 0 into 0 7.993 * [backup-simplify]: Simplify 1 into 1 7.993 * [taylor]: Taking taylor expansion of 1.0 in N 7.993 * [backup-simplify]: Simplify 1.0 into 1.0 7.994 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.995 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.995 * [backup-simplify]: Simplify 0 into 0 7.995 * [backup-simplify]: Simplify (+ 1 0) into 1 7.997 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 7.997 * [backup-simplify]: Simplify 1.0 into 1.0 7.997 * [backup-simplify]: Simplify (+ 0 0) into 0 7.998 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 7.998 * [backup-simplify]: Simplify 1 into 1 7.999 * [backup-simplify]: Simplify (+ 0 0) into 0 8.000 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 8.000 * [backup-simplify]: Simplify 0 into 0 8.001 * [backup-simplify]: Simplify (+ 0 0) into 0 8.002 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))) into 0 8.002 * [backup-simplify]: Simplify 0 into 0 8.003 * [backup-simplify]: Simplify (+ 0 0) into 0 8.004 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))) into 0 8.004 * [backup-simplify]: Simplify 0 into 0 8.005 * [backup-simplify]: Simplify (+ 0 0) into 0 8.006 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))) into 0 8.006 * [backup-simplify]: Simplify 0 into 0 8.007 * [backup-simplify]: Simplify (+ 0 0) into 0 8.009 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0)))))))) into 0 8.009 * [backup-simplify]: Simplify 0 into 0 8.010 * [backup-simplify]: Simplify (+ 0 0) into 0 8.012 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1.0))))))))) into 0 8.012 * [backup-simplify]: Simplify 0 into 0 8.012 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (* 1.0 N)) into (+ (* 1.0 N) (pow N 2)) 8.012 * [backup-simplify]: Simplify (* (+ (/ 1 N) 1.0) (/ 1 N)) into (/ (+ (/ 1 N) 1.0) N) 8.012 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 8.012 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 8.012 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.013 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.013 * [taylor]: Taking taylor expansion of N in N 8.013 * [backup-simplify]: Simplify 0 into 0 8.013 * [backup-simplify]: Simplify 1 into 1 8.013 * [backup-simplify]: Simplify (/ 1 1) into 1 8.013 * [taylor]: Taking taylor expansion of 1.0 in N 8.013 * [backup-simplify]: Simplify 1.0 into 1.0 8.013 * [taylor]: Taking taylor expansion of N in N 8.013 * [backup-simplify]: Simplify 0 into 0 8.013 * [backup-simplify]: Simplify 1 into 1 8.014 * [backup-simplify]: Simplify (+ 1 0) into 1 8.014 * [backup-simplify]: Simplify (/ 1 1) into 1 8.014 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 8.014 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 8.014 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.014 * [taylor]: Taking taylor expansion of N in N 8.014 * [backup-simplify]: Simplify 0 into 0 8.014 * [backup-simplify]: Simplify 1 into 1 8.015 * [backup-simplify]: Simplify (/ 1 1) into 1 8.015 * [taylor]: Taking taylor expansion of 1.0 in N 8.015 * [backup-simplify]: Simplify 1.0 into 1.0 8.015 * [taylor]: Taking taylor expansion of N in N 8.015 * [backup-simplify]: Simplify 0 into 0 8.015 * [backup-simplify]: Simplify 1 into 1 8.015 * [backup-simplify]: Simplify (+ 1 0) into 1 8.016 * [backup-simplify]: Simplify (/ 1 1) into 1 8.016 * [backup-simplify]: Simplify 1 into 1 8.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.017 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.018 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 8.018 * [backup-simplify]: Simplify 1.0 into 1.0 8.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.019 * [backup-simplify]: Simplify (+ 0 0) into 0 8.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 8.019 * [backup-simplify]: Simplify 0 into 0 8.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.020 * [backup-simplify]: Simplify (+ 0 0) into 0 8.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.021 * [backup-simplify]: Simplify 0 into 0 8.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.021 * [backup-simplify]: Simplify (+ 0 0) into 0 8.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.022 * [backup-simplify]: Simplify 0 into 0 8.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.023 * [backup-simplify]: Simplify (+ 0 0) into 0 8.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.024 * [backup-simplify]: Simplify 0 into 0 8.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.025 * [backup-simplify]: Simplify (+ 0 0) into 0 8.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.025 * [backup-simplify]: Simplify 0 into 0 8.026 * [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 8.026 * [backup-simplify]: Simplify (+ 0 0) into 0 8.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.027 * [backup-simplify]: Simplify 0 into 0 8.027 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (* 1.0 N) (pow N 2)) 8.027 * [backup-simplify]: Simplify (* (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (/ (- 1.0 (/ 1 N)) N)) 8.027 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 8.027 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 8.027 * [taylor]: Taking taylor expansion of -1 in N 8.027 * [backup-simplify]: Simplify -1 into -1 8.027 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 8.027 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.027 * [taylor]: Taking taylor expansion of 1.0 in N 8.027 * [backup-simplify]: Simplify 1.0 into 1.0 8.027 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.027 * [taylor]: Taking taylor expansion of N in N 8.027 * [backup-simplify]: Simplify 0 into 0 8.027 * [backup-simplify]: Simplify 1 into 1 8.028 * [backup-simplify]: Simplify (/ 1 1) into 1 8.028 * [taylor]: Taking taylor expansion of N in N 8.028 * [backup-simplify]: Simplify 0 into 0 8.028 * [backup-simplify]: Simplify 1 into 1 8.028 * [backup-simplify]: Simplify (- 1) into -1 8.028 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.028 * [backup-simplify]: Simplify (/ -1 1) into -1 8.028 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 8.028 * [taylor]: Taking taylor expansion of -1 in N 8.028 * [backup-simplify]: Simplify -1 into -1 8.028 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 8.029 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 8.029 * [taylor]: Taking taylor expansion of 1.0 in N 8.029 * [backup-simplify]: Simplify 1.0 into 1.0 8.029 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.029 * [taylor]: Taking taylor expansion of N in N 8.029 * [backup-simplify]: Simplify 0 into 0 8.029 * [backup-simplify]: Simplify 1 into 1 8.029 * [backup-simplify]: Simplify (/ 1 1) into 1 8.029 * [taylor]: Taking taylor expansion of N in N 8.029 * [backup-simplify]: Simplify 0 into 0 8.029 * [backup-simplify]: Simplify 1 into 1 8.029 * [backup-simplify]: Simplify (- 1) into -1 8.029 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.030 * [backup-simplify]: Simplify (/ -1 1) into -1 8.030 * [backup-simplify]: Simplify (* -1 -1) into 1 8.030 * [backup-simplify]: Simplify 1 into 1 8.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.031 * [backup-simplify]: Simplify (- 0) into 0 8.031 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.032 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 0 1)))) into 1.0 8.033 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 -1)) into (- 1.0) 8.033 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.034 * [backup-simplify]: Simplify (- 0) into 0 8.035 * [backup-simplify]: Simplify (+ 0 0) into 0 8.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 8.036 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 -1))) into 0 8.036 * [backup-simplify]: Simplify 0 into 0 8.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.037 * [backup-simplify]: Simplify (- 0) into 0 8.037 * [backup-simplify]: Simplify (+ 0 0) into 0 8.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.038 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))) into 0 8.038 * [backup-simplify]: Simplify 0 into 0 8.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.039 * [backup-simplify]: Simplify (- 0) into 0 8.039 * [backup-simplify]: Simplify (+ 0 0) into 0 8.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.041 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 8.041 * [backup-simplify]: Simplify 0 into 0 8.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.042 * [backup-simplify]: Simplify (- 0) into 0 8.042 * [backup-simplify]: Simplify (+ 0 0) into 0 8.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.044 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 8.044 * [backup-simplify]: Simplify 0 into 0 8.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.046 * [backup-simplify]: Simplify (- 0) into 0 8.047 * [backup-simplify]: Simplify (+ 0 0) into 0 8.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.048 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 8.049 * [backup-simplify]: Simplify 0 into 0 8.049 * [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 8.049 * [backup-simplify]: Simplify (- 0) into 0 8.050 * [backup-simplify]: Simplify (+ 0 0) into 0 8.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.051 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 8.051 * [backup-simplify]: Simplify 0 into 0 8.052 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (* 1.0 N) (pow N 2)) 8.052 * * * [progress]: simplifying candidates 8.053 * [simplify]: Simplifying: (fma (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0)) (- (* (cbrt N) (* (cbrt N) (cbrt N))))) (fma (- (cbrt N)) (* (cbrt N) (cbrt N)) (* (cbrt N) (* (cbrt N) (cbrt N)))) (fma (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0)) (- (* (sqrt N) (sqrt N)))) (fma (- (sqrt N)) (sqrt N) (* (sqrt N) (sqrt N))) (fma (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0)) (- (* N 1))) (fma (- N) 1 (* N 1)) (fma (sqrt (+ N 1.0)) (sqrt (+ N 1.0)) (- (* (cbrt N) (* (cbrt N) (cbrt N))))) (fma (- (cbrt N)) (* (cbrt N) (cbrt N)) (* (cbrt N) (* (cbrt N) (cbrt N)))) (fma (sqrt (+ N 1.0)) (sqrt (+ N 1.0)) (- (* (sqrt N) (sqrt N)))) (fma (- (sqrt N)) (sqrt N) (* (sqrt N) (sqrt N))) (fma (sqrt (+ N 1.0)) (sqrt (+ N 1.0)) (- (* N 1))) (fma (- N) 1 (* N 1)) (fma 1 (+ N 1.0) (- (* (cbrt N) (* (cbrt N) (cbrt N))))) (fma (- (cbrt N)) (* (cbrt N) (cbrt N)) (* (cbrt N) (* (cbrt N) (cbrt N)))) (fma 1 (+ N 1.0) (- (* (sqrt N) (sqrt N)))) (fma (- (sqrt N)) (sqrt N) (* (sqrt N) (sqrt N))) (fma 1 (+ N 1.0) (- (* N 1))) (fma (- N) 1 (* N 1)) (fma 1 (+ N 1.0) (- (* (cbrt N) (* (cbrt N) (cbrt N))))) (fma (- (cbrt N)) (* (cbrt N) (cbrt N)) (* (cbrt N) (* (cbrt N) (cbrt N)))) (fma 1 (+ N 1.0) (- (* (sqrt N) (sqrt N)))) (fma (- (sqrt N)) (sqrt N) (* (sqrt N) (sqrt N))) (fma 1 (+ N 1.0) (- (* N 1))) (fma (- N) 1 (* N 1)) (expm1 (- (+ N 1.0) N)) (log1p (- (+ N 1.0) N)) (- N) (- N) (- N) (- N) (/ (* (exp N) (exp 1.0)) (exp N)) (/ (exp (+ N 1.0)) (exp N)) (log (- (+ N 1.0) N)) (exp (- (+ N 1.0) N)) (* (cbrt (- (+ N 1.0) N)) (cbrt (- (+ N 1.0) N))) (cbrt (- (+ N 1.0) N)) (* (* (- (+ N 1.0) N) (- (+ N 1.0) N)) (- (+ N 1.0) N)) (sqrt (- (+ N 1.0) N)) (sqrt (- (+ N 1.0) N)) (- (pow (+ N 1.0) 3) (pow N 3)) (+ (* (+ N 1.0) (+ N 1.0)) (+ (* N N) (* (+ N 1.0) N))) (- N) (- (* (+ N 1.0) (+ N 1.0)) (* N N)) (+ (+ N 1.0) N) (+ (sqrt (+ N 1.0)) (sqrt N)) (- (sqrt (+ N 1.0)) (sqrt N)) (- (+ N 1.0) N) (- (+ N 1.0) N) (- 1.0 N) (- N) (expm1 (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)))) (log1p (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)))) (log (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)))) (exp (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)))) (* (* (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N))) (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)))) (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)))) (expm1 (* (+ N 1.0) N)) (log1p (* (+ N 1.0) N)) (* (+ N 1.0) N) (+ (log (+ N 1.0)) (log N)) (log (* (+ N 1.0) N)) (exp (* (+ N 1.0) N)) (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)) (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (* (+ N 1.0) 1) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) 1.0 1.0 1.0 (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (atan2 1.0 (+ (* 1.0 N) (+ (pow N 2) 1))) (+ (* 1.0 N) (pow N 2)) (+ (* 1.0 N) (pow N 2)) (+ (* 1.0 N) (pow N 2)) 8.054 * * [simplify]: iteration 0: 106 enodes 8.077 * * [simplify]: iteration 1: 252 enodes 8.214 * * [simplify]: iteration 2: 1237 enodes 9.401 * * [simplify]: iteration complete: 5001 enodes 9.401 * * [simplify]: Extracting #0: cost 48 inf + 0 9.402 * * [simplify]: Extracting #1: cost 664 inf + 1 9.409 * * [simplify]: Extracting #2: cost 1592 inf + 12187 9.452 * * [simplify]: Extracting #3: cost 750 inf + 142535 9.496 * * [simplify]: Extracting #4: cost 104 inf + 222213 9.548 * * [simplify]: Extracting #5: cost 27 inf + 237528 9.615 * * [simplify]: Extracting #6: cost 2 inf + 243247 9.682 * * [simplify]: Extracting #7: cost 0 inf + 243753 9.738 * [simplify]: Simplified to: (- (* (cbrt (+ N 1.0)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) N) (fma N -1 N) (- (* (cbrt (+ N 1.0)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) N) (fma N -1 N) (- (* (cbrt (+ N 1.0)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) N) (fma N -1 N) (+ 1.0 0) (fma N -1 N) (+ 1.0 0) (fma N -1 N) (+ 1.0 0) (fma N -1 N) (+ 1.0 0) (fma N -1 N) (+ 1.0 0) (fma N -1 N) (+ 1.0 0) (fma N -1 N) (+ 1.0 0) (fma N -1 N) (+ 1.0 0) (fma N -1 N) (+ 1.0 0) (fma N -1 N) (expm1 (+ 1.0 0)) (log1p (+ 1.0 0)) (- N) (- N) (- N) (- N) (exp (+ 1.0 0)) (exp (+ 1.0 0)) (log (+ 1.0 0)) (exp (+ 1.0 0)) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (cbrt (+ 1.0 0)) (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (sqrt (+ 1.0 0)) (sqrt (+ 1.0 0)) (- (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* N (* N N))) (fma N (+ N (+ N 1.0)) (* (+ N 1.0) (+ N 1.0))) (- N) (- (* (+ N 1.0) (+ N 1.0)) (* N N)) (+ N (+ 1.0 N)) (+ (sqrt (+ N 1.0)) (sqrt N)) (- (sqrt (+ N 1.0)) (sqrt N)) (+ 1.0 0) (+ 1.0 0) (- 1.0 N) (- N) (expm1 (atan2 (+ 1.0 0) (fma (+ N 1.0) N 1))) (log1p (atan2 (+ 1.0 0) (fma (+ N 1.0) N 1))) (log (atan2 (+ 1.0 0) (fma (+ N 1.0) N 1))) (exp (atan2 (+ 1.0 0) (fma (+ N 1.0) N 1))) (* (cbrt (atan2 (+ 1.0 0) (fma (+ N 1.0) N 1))) (cbrt (atan2 (+ 1.0 0) (fma (+ N 1.0) N 1)))) (cbrt (atan2 (+ 1.0 0) (fma (+ N 1.0) N 1))) (* (atan2 (+ 1.0 0) (fma (+ N 1.0) N 1)) (* (atan2 (+ 1.0 0) (fma (+ N 1.0) N 1)) (atan2 (+ 1.0 0) (fma (+ N 1.0) N 1)))) (sqrt (atan2 (+ 1.0 0) (fma (+ N 1.0) N 1))) (sqrt (atan2 (+ 1.0 0) (fma (+ N 1.0) N 1))) (expm1 (* (+ N 1.0) N)) (log1p (* (+ N 1.0) N)) (* (+ N 1.0) N) (log (* (+ N 1.0) N)) (log (* (+ N 1.0) N)) (exp (* (+ N 1.0) N)) (* N (* (+ N 1.0) (* (* (+ N 1.0) N) (* (+ N 1.0) N)))) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)) (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (* (cbrt N) (cbrt N)) (+ N 1.0)) (* (sqrt N) (+ N 1.0)) (+ N 1.0) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (fma 1.0 (* 1.0 1.0) (* N (* N N))) N) (* N (* (+ N 1.0) (- N 1.0))) 1.0 1.0 1.0 (atan2 1.0 (fma N (+ 1.0 N) 1)) (atan2 1.0 (fma N (+ 1.0 N) 1)) (atan2 1.0 (fma N (+ 1.0 N) 1)) (* N (+ 1.0 N)) (* N (+ 1.0 N)) (* N (+ 1.0 N)) 9.743 * * * [progress]: adding candidates to table 9.993 * * [progress]: iteration 3 / 4 9.993 * * * [progress]: picking best candidate 10.001 * * * * [pick]: Picked # 10.002 * * * [progress]: localizing error 10.009 * * * [progress]: generating rewritten candidates 10.009 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 10.010 * * * [progress]: generating series expansions 10.010 * * * * [progress]: [ 1 / 1 ] generating series at (2) 10.010 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ 1.0 N) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.010 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 10.010 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 10.010 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.010 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 10.010 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.010 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.010 * [backup-simplify]: Simplify 0 into 0 10.010 * [backup-simplify]: Simplify 0 into 0 10.010 * [backup-simplify]: Simplify 0 into 0 10.010 * [backup-simplify]: Simplify 0 into 0 10.010 * [backup-simplify]: Simplify 0 into 0 10.010 * [backup-simplify]: Simplify 0 into 0 10.010 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.011 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 10.011 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 10.011 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 10.011 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 10.011 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 10.011 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 10.011 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 10.011 * [backup-simplify]: Simplify 0 into 0 10.011 * [backup-simplify]: Simplify 0 into 0 10.011 * [backup-simplify]: Simplify 0 into 0 10.011 * [backup-simplify]: Simplify 0 into 0 10.011 * [backup-simplify]: Simplify 0 into 0 10.011 * [backup-simplify]: Simplify 0 into 0 10.011 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.011 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 10.011 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 10.011 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 10.011 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 10.011 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 10.012 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 10.012 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 10.012 * [backup-simplify]: Simplify 0 into 0 10.012 * [backup-simplify]: Simplify 0 into 0 10.012 * [backup-simplify]: Simplify 0 into 0 10.012 * [backup-simplify]: Simplify 0 into 0 10.012 * [backup-simplify]: Simplify 0 into 0 10.012 * [backup-simplify]: Simplify 0 into 0 10.012 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 10.012 * * * [progress]: simplifying candidates 10.013 * [simplify]: Simplifying: (expm1 (atan2 1.0 (fma N (+ 1.0 N) 1))) (log1p (atan2 1.0 (fma N (+ 1.0 N) 1))) (log (atan2 1.0 (fma N (+ 1.0 N) 1))) (exp (atan2 1.0 (fma N (+ 1.0 N) 1))) (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (* (* (atan2 1.0 (fma N (+ 1.0 N) 1)) (atan2 1.0 (fma N (+ 1.0 N) 1))) (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) 10.013 * * [simplify]: iteration 0: 18 enodes 10.018 * * [simplify]: iteration 1: 25 enodes 10.024 * * [simplify]: iteration 2: 38 enodes 10.031 * * [simplify]: iteration 3: 62 enodes 10.038 * * [simplify]: iteration 4: 87 enodes 10.050 * * [simplify]: iteration 5: 125 enodes 10.066 * * [simplify]: iteration 6: 195 enodes 10.102 * * [simplify]: iteration 7: 376 enodes 10.244 * * [simplify]: iteration 8: 1017 enodes 11.075 * * [simplify]: iteration complete: 5001 enodes 11.076 * * [simplify]: Extracting #0: cost 9 inf + 0 11.076 * * [simplify]: Extracting #1: cost 226 inf + 0 11.079 * * [simplify]: Extracting #2: cost 1209 inf + 3 11.084 * * [simplify]: Extracting #3: cost 1282 inf + 405 11.090 * * [simplify]: Extracting #4: cost 1096 inf + 28492 11.123 * * [simplify]: Extracting #5: cost 627 inf + 402974 11.228 * * [simplify]: Extracting #6: cost 42 inf + 992543 11.348 * * [simplify]: Extracting #7: cost 0 inf + 1020279 11.472 * * [simplify]: Extracting #8: cost 0 inf + 1018936 11.597 * [simplify]: Simplified to: (expm1 (atan2 1.0 (fma (+ N 1.0) N 1))) (log1p (atan2 1.0 (fma (+ N 1.0) N 1))) (log (atan2 1.0 (fma (+ N 1.0) N 1))) (exp (atan2 1.0 (fma (+ N 1.0) N 1))) (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (* (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) 11.597 * * * [progress]: adding candidates to table 11.640 * * [progress]: iteration 4 / 4 11.640 * * * [progress]: picking best candidate 11.647 * * * * [pick]: Picked # 11.647 * * * [progress]: localizing error 11.665 * * * [progress]: generating rewritten candidates 11.665 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 11.670 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 11.672 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 11.672 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 11.673 * * * [progress]: generating series expansions 11.673 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 11.673 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 11.673 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0 11.673 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 11.673 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 11.673 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 11.673 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 11.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 11.673 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 11.673 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 11.673 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 11.673 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 11.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 11.674 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 11.674 * [backup-simplify]: Simplify 0 into 0 11.674 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 11.674 * [backup-simplify]: Simplify 0 into 0 11.675 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 11.675 * [backup-simplify]: Simplify 0 into 0 11.676 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 11.676 * [backup-simplify]: Simplify 0 into 0 11.676 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 11.676 * [backup-simplify]: Simplify 0 into 0 11.677 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 11.677 * [backup-simplify]: Simplify 0 into 0 11.677 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 11.677 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 11.677 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0 11.677 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 11.677 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 11.677 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 11.678 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 11.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 11.678 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 11.678 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 11.678 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 11.678 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 11.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 11.678 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 11.678 * [backup-simplify]: Simplify 0 into 0 11.679 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 11.679 * [backup-simplify]: Simplify 0 into 0 11.679 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 11.679 * [backup-simplify]: Simplify 0 into 0 11.680 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 11.680 * [backup-simplify]: Simplify 0 into 0 11.681 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 11.681 * [backup-simplify]: Simplify 0 into 0 11.681 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 11.681 * [backup-simplify]: Simplify 0 into 0 11.682 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 11.682 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) 11.682 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0 11.682 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 11.682 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 11.682 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 11.682 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) 11.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 11.682 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 11.682 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 11.682 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 11.682 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) 11.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 11.683 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) 11.683 * [backup-simplify]: Simplify 0 into 0 11.683 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 11.683 * [backup-simplify]: Simplify 0 into 0 11.684 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 11.684 * [backup-simplify]: Simplify 0 into 0 11.685 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 11.685 * [backup-simplify]: Simplify 0 into 0 11.685 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 11.685 * [backup-simplify]: Simplify 0 into 0 11.686 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 11.686 * [backup-simplify]: Simplify 0 into 0 11.686 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 11.686 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 11.687 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 11.687 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0 11.687 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 11.687 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 11.687 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 11.687 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 11.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 11.687 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 11.687 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 11.687 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 11.687 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 11.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 11.687 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 11.687 * [backup-simplify]: Simplify 0 into 0 11.688 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 11.688 * [backup-simplify]: Simplify 0 into 0 11.688 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 11.688 * [backup-simplify]: Simplify 0 into 0 11.689 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 11.689 * [backup-simplify]: Simplify 0 into 0 11.690 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 11.690 * [backup-simplify]: Simplify 0 into 0 11.690 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) into 0 11.690 * [backup-simplify]: Simplify 0 into 0 11.690 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 11.691 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 11.691 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0 11.691 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 11.691 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 11.691 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 11.691 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 11.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 11.691 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 11.691 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 11.691 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 11.691 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 11.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 11.692 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) into (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) 11.692 * [backup-simplify]: Simplify 0 into 0 11.692 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 11.692 * [backup-simplify]: Simplify 0 into 0 11.693 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 11.693 * [backup-simplify]: Simplify 0 into 0 11.693 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 11.694 * [backup-simplify]: Simplify 0 into 0 11.694 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 11.694 * [backup-simplify]: Simplify 0 into 0 11.695 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) into 0 11.695 * [backup-simplify]: Simplify 0 into 0 11.695 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 11.695 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) 11.695 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0 11.695 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 11.695 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 11.695 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 11.695 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) 11.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 11.696 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 11.696 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 11.696 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 11.696 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) 11.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 11.696 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) into (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) 11.696 * [backup-simplify]: Simplify 0 into 0 11.697 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 11.697 * [backup-simplify]: Simplify 0 into 0 11.697 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 11.697 * [backup-simplify]: Simplify 0 into 0 11.698 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 11.698 * [backup-simplify]: Simplify 0 into 0 11.699 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 11.699 * [backup-simplify]: Simplify 0 into 0 11.699 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) into 0 11.699 * [backup-simplify]: Simplify 0 into 0 11.699 * [backup-simplify]: Simplify (sqrt (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 11.700 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 11.700 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ 1.0 N) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 11.700 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 11.700 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 11.700 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 11.700 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 11.700 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 11.700 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 11.700 * [backup-simplify]: Simplify 0 into 0 11.700 * [backup-simplify]: Simplify 0 into 0 11.700 * [backup-simplify]: Simplify 0 into 0 11.700 * [backup-simplify]: Simplify 0 into 0 11.700 * [backup-simplify]: Simplify 0 into 0 11.700 * [backup-simplify]: Simplify 0 into 0 11.700 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 11.700 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 11.700 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 11.700 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 11.700 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 11.700 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 11.701 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 11.701 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 11.701 * [backup-simplify]: Simplify 0 into 0 11.701 * [backup-simplify]: Simplify 0 into 0 11.701 * [backup-simplify]: Simplify 0 into 0 11.701 * [backup-simplify]: Simplify 0 into 0 11.701 * [backup-simplify]: Simplify 0 into 0 11.701 * [backup-simplify]: Simplify 0 into 0 11.701 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 11.701 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 11.701 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 11.701 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 11.701 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 11.701 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 11.701 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 11.701 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 11.701 * [backup-simplify]: Simplify 0 into 0 11.701 * [backup-simplify]: Simplify 0 into 0 11.702 * [backup-simplify]: Simplify 0 into 0 11.702 * [backup-simplify]: Simplify 0 into 0 11.702 * [backup-simplify]: Simplify 0 into 0 11.702 * [backup-simplify]: Simplify 0 into 0 11.702 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 11.702 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 11.702 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ 1.0 N) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 11.702 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 11.702 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 11.702 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 11.702 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 11.702 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 11.702 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 11.702 * [backup-simplify]: Simplify 0 into 0 11.702 * [backup-simplify]: Simplify 0 into 0 11.702 * [backup-simplify]: Simplify 0 into 0 11.702 * [backup-simplify]: Simplify 0 into 0 11.702 * [backup-simplify]: Simplify 0 into 0 11.702 * [backup-simplify]: Simplify 0 into 0 11.702 * [backup-simplify]: Simplify (atan2 1.0 (fma N (+ N 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 11.702 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 11.703 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 11.703 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 11.703 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 11.703 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 11.703 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 11.703 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) into (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 11.703 * [backup-simplify]: Simplify 0 into 0 11.703 * [backup-simplify]: Simplify 0 into 0 11.703 * [backup-simplify]: Simplify 0 into 0 11.703 * [backup-simplify]: Simplify 0 into 0 11.703 * [backup-simplify]: Simplify 0 into 0 11.703 * [backup-simplify]: Simplify 0 into 0 11.703 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (/ 1 N)) (+ (/ 1 (/ 1 N)) 1.0) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 11.703 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ 1 (- N)) (+ 1.0 (/ 1 (- N))) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 11.703 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 11.703 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 11.703 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 11.703 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 11.704 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 11.704 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) into (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 11.704 * [backup-simplify]: Simplify 0 into 0 11.704 * [backup-simplify]: Simplify 0 into 0 11.704 * [backup-simplify]: Simplify 0 into 0 11.704 * [backup-simplify]: Simplify 0 into 0 11.704 * [backup-simplify]: Simplify 0 into 0 11.704 * [backup-simplify]: Simplify 0 into 0 11.704 * [backup-simplify]: Simplify (atan2 1.0 (fma (/ -1 (/ 1 (- N))) (- 1.0 (/ 1 (/ 1 (- N)))) 1)) into (atan2 1.0 (fma N (+ N 1.0) 1)) 11.704 * * * [progress]: simplifying candidates 11.705 * [simplify]: Simplifying: (expm1 (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (log1p (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (log (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (exp (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (* (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt 1) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (expm1 (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (log1p (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (log (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (exp (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (cbrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (* (* (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt 1) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (expm1 (atan2 1.0 (fma N (+ 1.0 N) 1))) (log1p (atan2 1.0 (fma N (+ 1.0 N) 1))) (log (atan2 1.0 (fma N (+ 1.0 N) 1))) (exp (atan2 1.0 (fma N (+ 1.0 N) 1))) (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (* (* (atan2 1.0 (fma N (+ 1.0 N) 1)) (atan2 1.0 (fma N (+ 1.0 N) 1))) (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (expm1 (atan2 1.0 (fma N (+ 1.0 N) 1))) (log1p (atan2 1.0 (fma N (+ 1.0 N) 1))) (log (atan2 1.0 (fma N (+ 1.0 N) 1))) (exp (atan2 1.0 (fma N (+ 1.0 N) 1))) (* (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1)))) (cbrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (* (* (atan2 1.0 (fma N (+ 1.0 N) 1)) (atan2 1.0 (fma N (+ 1.0 N) 1))) (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ 1.0 N) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) 11.705 * * [simplify]: iteration 0: 33 enodes 11.710 * * [simplify]: iteration 1: 46 enodes 11.715 * * [simplify]: iteration 2: 89 enodes 11.728 * * [simplify]: iteration 3: 159 enodes 11.746 * * [simplify]: iteration 4: 228 enodes 11.791 * * [simplify]: iteration 5: 504 enodes 11.997 * * [simplify]: iteration 6: 2055 enodes 12.663 * * [simplify]: iteration complete: 5001 enodes 12.664 * * [simplify]: Extracting #0: cost 21 inf + 0 12.665 * * [simplify]: Extracting #1: cost 721 inf + 2 12.669 * * [simplify]: Extracting #2: cost 1712 inf + 3198 12.675 * * [simplify]: Extracting #3: cost 1691 inf + 7770 12.681 * * [simplify]: Extracting #4: cost 1620 inf + 10685 12.694 * * [simplify]: Extracting #5: cost 1511 inf + 48149 12.739 * * [simplify]: Extracting #6: cost 433 inf + 555260 12.818 * * [simplify]: Extracting #7: cost 15 inf + 796088 12.896 * * [simplify]: Extracting #8: cost 0 inf + 807363 12.975 * [simplify]: Simplified to: (expm1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log1p (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (exp (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (atan2 1.0 (fma (+ N 1.0) N 1)) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 1/2 (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (expm1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log1p (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (log (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (exp (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))))) (cbrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (* (atan2 1.0 (fma (+ N 1.0) N 1)) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (fabs (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) 1 (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) 1/2 (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (sqrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (expm1 (atan2 1.0 (fma (+ N 1.0) N 1))) (log1p (atan2 1.0 (fma (+ N 1.0) N 1))) (log (atan2 1.0 (fma (+ N 1.0) N 1))) (exp (atan2 1.0 (fma (+ N 1.0) N 1))) (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (* (atan2 1.0 (fma (+ N 1.0) N 1)) (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (expm1 (atan2 1.0 (fma (+ N 1.0) N 1))) (log1p (atan2 1.0 (fma (+ N 1.0) N 1))) (log (atan2 1.0 (fma (+ N 1.0) N 1))) (exp (atan2 1.0 (fma (+ N 1.0) N 1))) (* (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1)))) (cbrt (atan2 1.0 (fma (+ N 1.0) N 1))) (* (atan2 1.0 (fma (+ N 1.0) N 1)) (* (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (sqrt (atan2 1.0 (fma (+ N 1.0) N 1))) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) (atan2 1.0 (fma (+ N 1.0) N 1)) 12.978 * * * [progress]: adding candidates to table 13.178 * [progress]: [Phase 3 of 3] Extracting. 13.178 * * [regime]: Finding splitpoints for: (# # # # # #) 13.179 * * * [regime-changes]: Trying 1 branch expressions: (N) 13.179 * * * * [regimes]: Trying to branch on N from (# # # # # #) 13.221 * * * [regime]: Found split indices: #