0.002 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.070 * * * [progress]: [2/2] Setting up program.
0.075 * [progress]: [Phase 2 of 3] Improving.
0.075 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.075 * [simplify]: Simplifying (- (atan (+ N 1)) (atan N))
0.075 * * [simplify]: iteration 1: (6 enodes)
0.079 * * [simplify]: iteration 2: (23 enodes)
0.086 * * [simplify]: iteration 3: (28 enodes)
0.094 * * [simplify]: Extracting #0: cost 1 inf + 0
0.094 * * [simplify]: Extracting #1: cost 5 inf + 0
0.094 * * [simplify]: Extracting #2: cost 10 inf + 0
0.094 * * [simplify]: Extracting #3: cost 11 inf + 1
0.094 * * [simplify]: Extracting #4: cost 6 inf + 298
0.094 * * [simplify]: Extracting #5: cost 1 inf + 1176
0.095 * * [simplify]: Extracting #6: cost 0 inf + 1468
0.095 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N))
0.100 * * [progress]: iteration 1 / 4
0.100 * * * [progress]: picking best candidate
0.103 * * * * [pick]: Picked  #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.103 * * * [progress]: localizing error
0.125 * * * [progress]: generating rewritten candidates
0.125 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.135 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.138 * * * [progress]: generating series expansions
0.138 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.138 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.138 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0
0.138 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.138 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.138 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.138 * [taylor]: Taking taylor expansion of (atan N) in N
0.139 * [backup-simplify]: Simplify (atan N) into (atan N)
0.139 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N
0.139 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.139 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.139 * [taylor]: Taking taylor expansion of (atan N) in N
0.139 * [backup-simplify]: Simplify (atan N) into (atan N)
0.139 * [backup-simplify]: Simplify (- (atan N)) into (- (atan N))
0.139 * [backup-simplify]: Simplify (+ (atan (+ N 1)) (- (atan N))) into (- (atan (+ N 1)) (atan N))
0.139 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.139 * [backup-simplify]: Simplify (- 0) into 0
0.140 * [backup-simplify]: Simplify (+ 0 0) into 0
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify (- 0) into 0
0.140 * [backup-simplify]: Simplify (+ 0 0) into 0
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify (- 0) into 0
0.141 * [backup-simplify]: Simplify (+ 0 0) into 0
0.141 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify (- 0) into 0
0.141 * [backup-simplify]: Simplify (+ 0 0) into 0
0.141 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify (- 0) into 0
0.142 * [backup-simplify]: Simplify (+ 0 0) into 0
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify (- 0) into 0
0.142 * [backup-simplify]: Simplify (+ 0 0) into 0
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify (- (atan (+ N 1)) (atan N)) into (- (atan (+ N 1)) (atan N))
0.142 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.143 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0
0.143 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
0.143 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.143 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.143 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.143 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.143 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N
0.143 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.143 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.143 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N
0.143 * [backup-simplify]: Simplify (atan (/ 1 N)) into (atan (/ 1 N))
0.143 * [backup-simplify]: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N)))
0.143 * [backup-simplify]: Simplify (+ (atan (+ (/ 1 N) 1)) (- (atan (/ 1 N)))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.143 * [backup-simplify]: Simplify (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) into (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N)))
0.143 * [backup-simplify]: Simplify (- 0) into 0
0.144 * [backup-simplify]: Simplify (+ 0 0) into 0
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify (- 0) into 0
0.144 * [backup-simplify]: Simplify (+ 0 0) into 0
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify (- 0) into 0
0.145 * [backup-simplify]: Simplify (+ 0 0) into 0
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify (- 0) into 0
0.145 * [backup-simplify]: Simplify (+ 0 0) into 0
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify (- 0) into 0
0.146 * [backup-simplify]: Simplify (+ 0 0) into 0
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify (- 0) into 0
0.146 * [backup-simplify]: Simplify (+ 0 0) into 0
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (/ 1 N)) 1)) (atan (/ 1 (/ 1 N)))) into (- (atan (+ N 1)) (atan N))
0.146 * [backup-simplify]: Simplify (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.146 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0
0.146 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N
0.146 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.146 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.146 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.147 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.147 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N
0.147 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.147 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.147 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N
0.147 * [backup-simplify]: Simplify (atan (/ -1 N)) into (atan (/ -1 N))
0.147 * [backup-simplify]: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N)))
0.147 * [backup-simplify]: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.147 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N)))
0.147 * [backup-simplify]: Simplify (- 0) into 0
0.147 * [backup-simplify]: Simplify (+ 0 0) into 0
0.147 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify (- 0) into 0
0.148 * [backup-simplify]: Simplify (+ 0 0) into 0
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify (- 0) into 0
0.148 * [backup-simplify]: Simplify (+ 0 0) into 0
0.148 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify (- 0) into 0
0.149 * [backup-simplify]: Simplify (+ 0 0) into 0
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify (- 0) into 0
0.149 * [backup-simplify]: Simplify (+ 0 0) into 0
0.149 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify (- 0) into 0
0.150 * [backup-simplify]: Simplify (+ 0 0) into 0
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ N 1)) (atan N))
0.150 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.150 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.150 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0
0.150 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.150 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.150 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N
0.150 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.150 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify (atan (+ N 1)) into (atan (+ N 1))
0.151 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.151 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0
0.151 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.151 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.151 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N
0.151 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.151 * [backup-simplify]: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ (/ 1 N) 1))
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify (atan (+ (/ 1 (/ 1 N)) 1)) into (atan (+ N 1))
0.151 * [backup-simplify]: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N)))
0.151 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0
0.151 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.151 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.151 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N
0.151 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.151 * [backup-simplify]: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N)))
0.151 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ N 1))
0.152 * * * [progress]: simplifying candidates
0.152 * * * * [progress]: [ 1 / 46 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (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)))))))>
0.152 * * * * [progress]: [ 2 / 46 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))))>
0.152 * * * * [progress]: [ 3 / 46 ] simplifiying candidate #<alt (λ (N) (+ (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1))))>
0.152 * * * * [progress]: [ 4 / 46 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (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)))))))>
0.152 * * * * [progress]: [ 5 / 46 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))))>
0.152 * * * * [progress]: [ 6 / 46 ] simplifiying candidate #<alt (λ (N) (+ (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1))))>
0.152 * * * * [progress]: [ 7 / 46 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (atan (+ N 1)) (- (* (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)))))))>
0.152 * * * * [progress]: [ 8 / 46 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (atan (+ N 1)) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N))))))>
0.152 * * * * [progress]: [ 9 / 46 ] simplifiying candidate #<alt (λ (N) (+ (fma 1 (atan (+ N 1)) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1))))>
0.152 * * * * [progress]: [ 10 / 46 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (- (atan (+ N 1)) (atan N)))))>
0.152 * * * * [progress]: [ 11 / 46 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (- (atan (+ N 1)) (atan N)))))>
0.152 * * * * [progress]: [ 12 / 46 ] simplifiying candidate #<alt (λ (N) (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (atan N))))>
0.152 * * * * [progress]: [ 13 / 46 ] simplifiying candidate #<alt (λ (N) (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (atan N))))>
0.152 * * * * [progress]: [ 14 / 46 ] simplifiying candidate #<alt (λ (N) (fma 1 (atan (+ N 1)) (- (atan N))))>
0.152 * * * * [progress]: [ 15 / 46 ] simplifiying candidate #<alt (λ (N) (atan2 (- (+ N 1) N) (+ 1 (* (+ N 1) N))))>
0.152 * * * * [progress]: [ 16 / 46 ] simplifiying candidate #<alt (λ (N) (log (/ (exp (atan (+ N 1))) (exp (atan N)))))>
0.152 * * * * [progress]: [ 17 / 46 ] simplifiying candidate #<alt (λ (N) (pow (- (atan (+ N 1)) (atan N)) 1))>
0.152 * * * * [progress]: [ 18 / 46 ] simplifiying candidate #<alt (λ (N) (exp (log (- (atan (+ N 1)) (atan N)))))>
0.152 * * * * [progress]: [ 19 / 46 ] simplifiying candidate #<alt (λ (N) (log (exp (- (atan (+ N 1)) (atan N)))))>
0.152 * * * * [progress]: [ 20 / 46 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) (cbrt (- (atan (+ N 1)) (atan N)))))>
0.153 * * * * [progress]: [ 21 / 46 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N)))))>
0.153 * * * * [progress]: [ 22 / 46 ] simplifiying candidate #<alt (λ (N) (* (sqrt (- (atan (+ N 1)) (atan N))) (sqrt (- (atan (+ N 1)) (atan N)))))>
0.153 * * * * [progress]: [ 23 / 46 ] simplifiying candidate #<alt (λ (N) (/ (- (pow (atan (+ N 1)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (atan N)) (* (atan (+ N 1)) (atan N))))))>
0.153 * * * * [progress]: [ 24 / 46 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
0.153 * * * * [progress]: [ 25 / 46 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
0.153 * * * * [progress]: [ 26 / 46 ] simplifiying candidate #<alt (λ (N) (/ (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) (+ (atan (+ N 1)) (atan N))))>
0.153 * * * * [progress]: [ 27 / 46 ] simplifiying candidate #<alt (λ (N) (* (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) (- (sqrt (atan (+ N 1))) (sqrt (atan N)))))>
0.153 * * * * [progress]: [ 28 / 46 ] simplifiying candidate #<alt (λ (N) (* 1 (- (atan (+ N 1)) (atan N))))>
0.153 * * * * [progress]: [ 29 / 46 ] simplifiying candidate #<alt (λ (N) (+ (atan (+ N 1)) (- (atan N))))>
0.153 * * * * [progress]: [ 30 / 46 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (- (atan (+ N 1)) (atan N)))))>
0.153 * * * * [progress]: [ 31 / 46 ] simplifiying candidate #<alt (λ (N) (- (log1p (expm1 (atan (+ N 1)))) (atan N)))>
0.153 * * * * [progress]: [ 32 / 46 ] simplifiying candidate #<alt (λ (N) (- (expm1 (log1p (atan (+ N 1)))) (atan N)))>
0.153 * * * * [progress]: [ 33 / 46 ] simplifiying candidate #<alt (λ (N) (- (pow (atan (+ N 1)) 1) (atan N)))>
0.153 * * * * [progress]: [ 34 / 46 ] simplifiying candidate #<alt (λ (N) (- (exp (log (atan (+ N 1)))) (atan N)))>
0.153 * * * * [progress]: [ 35 / 46 ] simplifiying candidate #<alt (λ (N) (- (log (exp (atan (+ N 1)))) (atan N)))>
0.153 * * * * [progress]: [ 36 / 46 ] simplifiying candidate #<alt (λ (N) (- (* (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1)))) (atan N)))>
0.153 * * * * [progress]: [ 37 / 46 ] simplifiying candidate #<alt (λ (N) (- (cbrt (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1)))) (atan N)))>
0.153 * * * * [progress]: [ 38 / 46 ] simplifiying candidate #<alt (λ (N) (- (* (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1)))) (atan N)))>
0.153 * * * * [progress]: [ 39 / 46 ] simplifiying candidate #<alt (λ (N) (- (* 1 (atan (+ N 1))) (atan N)))>
0.153 * * * * [progress]: [ 40 / 46 ] simplifiying candidate #<alt (λ (N) (- (posit16->real (real->posit16 (atan (+ N 1)))) (atan N)))>
0.153 * * * * [progress]: [ 41 / 46 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.153 * * * * [progress]: [ 42 / 46 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.153 * * * * [progress]: [ 43 / 46 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.153 * * * * [progress]: [ 44 / 46 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.153 * * * * [progress]: [ 45 / 46 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.153 * * * * [progress]: [ 46 / 46 ] simplifiying candidate #<alt (λ (N) (- (atan (+ N 1)) (atan N)))>
0.154 * [simplify]: Simplifying (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (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))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))), (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))), (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (atan N) 1))), (fma (- (atan N)) 1 (* (atan N) 1)), (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (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))) (sqrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))), (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))), (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (atan N) 1))), (fma (- (atan N)) 1 (* (atan N) 1)), (fma 1 (atan (+ N 1)) (- (* (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)) (- (* (sqrt (atan N)) (sqrt (atan N))))), (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))), (fma 1 (atan (+ N 1)) (- (* (atan N) 1))), (fma (- (atan N)) 1 (* (atan N) 1)), (expm1 (- (atan (+ N 1)) (atan N))), (log1p (- (atan (+ N 1)) (atan N))), (- (atan N)), (- (atan N)), (- (atan N)), (- (+ N 1) N), (+ 1 (* (+ N 1) N)), (/ (exp (atan (+ N 1))) (exp (atan N))), (log (- (atan (+ N 1)) (atan N))), (exp (- (atan (+ N 1)) (atan N))), (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))), (cbrt (- (atan (+ N 1)) (atan N))), (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N))), (sqrt (- (atan (+ N 1)) (atan N))), (sqrt (- (atan (+ N 1)) (atan N))), (- (pow (atan (+ N 1)) 3) (pow (atan N) 3)), (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (atan N)) (* (atan (+ N 1)) (atan N)))), (- (atan N)), (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))), (+ (atan (+ N 1)) (atan N)), (+ (sqrt (atan (+ N 1))) (sqrt (atan N))), (- (sqrt (atan (+ N 1))) (sqrt (atan N))), (- (atan (+ N 1)) (atan N)), (- (atan N)), (real->posit16 (- (atan (+ N 1)) (atan N))), (expm1 (atan (+ N 1))), (log1p (atan (+ N 1))), (log (atan (+ N 1))), (exp (atan (+ N 1))), (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))), (cbrt (atan (+ N 1))), (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1))), (sqrt (atan (+ N 1))), (sqrt (atan (+ N 1))), (real->posit16 (atan (+ N 1))), (- (atan (+ N 1)) (atan N)), (- (atan (+ N 1)) (atan N)), (- (atan (+ N 1)) (atan N)), (atan (+ N 1)), (atan (+ N 1)), (atan (+ N 1))
0.154 * * [simplify]: iteration 1: (67 enodes)
0.188 * * [simplify]: iteration 2: (250 enodes)
0.266 * * [simplify]: iteration 3: (428 enodes)
0.417 * * [simplify]: iteration 4: (886 enodes)
0.969 * * [simplify]: Extracting #0: cost 30 inf + 0
0.969 * * [simplify]: Extracting #1: cost 153 inf + 2
0.971 * * [simplify]: Extracting #2: cost 405 inf + 3027
0.977 * * [simplify]: Extracting #3: cost 357 inf + 50187
1.000 * * [simplify]: Extracting #4: cost 46 inf + 179759
1.022 * * [simplify]: Extracting #5: cost 0 inf + 202210
1.045 * * [simplify]: Extracting #6: cost 0 inf + 202195
1.069 * [simplify]: Simplified to (- (atan (+ 1 N)) (atan N)), 0, (- (atan (+ 1 N)) (atan N)), 0, (- (atan (+ 1 N)) (atan N)), 0, (- (atan (+ 1 N)) (atan N)), 0, (- (atan (+ 1 N)) (atan N)), 0, (- (atan (+ 1 N)) (atan N)), 0, (- (atan (+ 1 N)) (atan N)), 0, (- (atan (+ 1 N)) (atan N)), 0, (- (atan (+ 1 N)) (atan N)), 0, (expm1 (- (atan (+ 1 N)) (atan N))), (log1p (- (atan (+ 1 N)) (atan N))), (- (atan N)), (- (atan N)), (- (atan N)), 1, (+ 1 (fma N N N)), (exp (- (atan (+ 1 N)) (atan N))), (log (- (atan (+ 1 N)) (atan N))), (exp (- (atan (+ 1 N)) (atan N))), (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N)))), (cbrt (- (atan (+ 1 N)) (atan N))), (* (- (atan (+ 1 N)) (atan N)) (* (- (atan (+ 1 N)) (atan N)) (- (atan (+ 1 N)) (atan N)))), (sqrt (- (atan (+ 1 N)) (atan N))), (sqrt (- (atan (+ 1 N)) (atan N))), (- (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N))) (* (* (atan N) (atan N)) (atan N))), (fma (atan N) (+ (atan (+ 1 N)) (atan N)) (* (atan (+ 1 N)) (atan (+ 1 N)))), (- (atan N)), (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan N))), (+ (atan (+ 1 N)) (atan N)), (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))), (- (sqrt (atan (+ 1 N))) (sqrt (atan N))), (- (atan (+ 1 N)) (atan N)), (- (atan N)), (real->posit16 (- (atan (+ 1 N)) (atan N))), (expm1 (atan (+ 1 N))), (log1p (atan (+ 1 N))), (log (atan (+ 1 N))), (exp (atan (+ 1 N))), (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N)))), (cbrt (atan (+ 1 N))), (* (* (atan (+ 1 N)) (atan (+ 1 N))) (atan (+ 1 N))), (sqrt (atan (+ 1 N))), (sqrt (atan (+ 1 N))), (real->posit16 (atan (+ 1 N))), (- (atan (+ 1 N)) (atan N)), (- (atan (+ 1 N)) (atan N)), (- (atan (+ 1 N)) (atan N)), (atan (+ 1 N)), (atan (+ 1 N)), (atan (+ 1 N))
1.071 * * * [progress]: adding candidates to table
1.316 * * [progress]: iteration 2 / 4
1.316 * * * [progress]: picking best candidate
1.318 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (+ 1 (fma N N N))))>
1.318 * * * [progress]: localizing error
1.328 * * * [progress]: generating rewritten candidates
1.328 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
1.328 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2)
1.333 * * * [progress]: generating series expansions
1.333 * * * * [progress]: [ 1 / 2 ] generating series at (2)
1.333 * [backup-simplify]: Simplify (atan2 1 (+ 1 (fma N N N))) into (atan2 1 (+ (fma N N N) 1))
1.333 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in (N) around 0
1.333 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N
1.333 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
1.333 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N
1.333 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
1.333 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
1.333 * [backup-simplify]: Simplify 0 into 0
1.333 * [backup-simplify]: Simplify 0 into 0
1.333 * [backup-simplify]: Simplify 0 into 0
1.333 * [backup-simplify]: Simplify 0 into 0
1.333 * [backup-simplify]: Simplify 0 into 0
1.333 * [backup-simplify]: Simplify 0 into 0
1.333 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
1.333 * [backup-simplify]: Simplify (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N)))) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
1.333 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in (N) around 0
1.333 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N
1.334 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
1.334 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N
1.334 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
1.334 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
1.334 * [backup-simplify]: Simplify 0 into 0
1.334 * [backup-simplify]: Simplify 0 into 0
1.334 * [backup-simplify]: Simplify 0 into 0
1.334 * [backup-simplify]: Simplify 0 into 0
1.334 * [backup-simplify]: Simplify 0 into 0
1.334 * [backup-simplify]: Simplify 0 into 0
1.334 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1)) into (atan2 1 (+ (fma N N N) 1))
1.334 * [backup-simplify]: Simplify (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))))) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
1.334 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in (N) around 0
1.334 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N
1.334 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
1.334 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N
1.334 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
1.334 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
1.335 * [backup-simplify]: Simplify 0 into 0
1.335 * [backup-simplify]: Simplify 0 into 0
1.335 * [backup-simplify]: Simplify 0 into 0
1.335 * [backup-simplify]: Simplify 0 into 0
1.335 * [backup-simplify]: Simplify 0 into 0
1.335 * [backup-simplify]: Simplify 0 into 0
1.335 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1)) into (atan2 1 (+ (fma N N N) 1))
1.335 * * * * [progress]: [ 2 / 2 ] generating series at (2 2)
1.335 * [backup-simplify]: Simplify (+ 1 (fma N N N)) into (+ (fma N N N) 1)
1.335 * [approximate]: Taking taylor expansion of (+ (fma N N N) 1) in (N) around 0
1.335 * [taylor]: Taking taylor expansion of (+ (fma N N N) 1) in N
1.335 * [taylor]: Taking taylor expansion of (fma N N N) in N
1.335 * [taylor]: Rewrote expression to (+ (* N N) N)
1.335 * [taylor]: Taking taylor expansion of (* N N) in N
1.335 * [taylor]: Taking taylor expansion of N in N
1.335 * [backup-simplify]: Simplify 0 into 0
1.335 * [backup-simplify]: Simplify 1 into 1
1.335 * [taylor]: Taking taylor expansion of N in N
1.335 * [backup-simplify]: Simplify 0 into 0
1.335 * [backup-simplify]: Simplify 1 into 1
1.335 * [taylor]: Taking taylor expansion of N in N
1.335 * [backup-simplify]: Simplify 0 into 0
1.335 * [backup-simplify]: Simplify 1 into 1
1.335 * [taylor]: Taking taylor expansion of 1 in N
1.335 * [backup-simplify]: Simplify 1 into 1
1.335 * [taylor]: Taking taylor expansion of (+ (fma N N N) 1) in N
1.335 * [taylor]: Taking taylor expansion of (fma N N N) in N
1.335 * [taylor]: Rewrote expression to (+ (* N N) N)
1.335 * [taylor]: Taking taylor expansion of (* N N) in N
1.335 * [taylor]: Taking taylor expansion of N in N
1.335 * [backup-simplify]: Simplify 0 into 0
1.335 * [backup-simplify]: Simplify 1 into 1
1.335 * [taylor]: Taking taylor expansion of N in N
1.335 * [backup-simplify]: Simplify 0 into 0
1.335 * [backup-simplify]: Simplify 1 into 1
1.335 * [taylor]: Taking taylor expansion of N in N
1.335 * [backup-simplify]: Simplify 0 into 0
1.335 * [backup-simplify]: Simplify 1 into 1
1.335 * [taylor]: Taking taylor expansion of 1 in N
1.335 * [backup-simplify]: Simplify 1 into 1
1.336 * [backup-simplify]: Simplify (* 0 0) into 0
1.336 * [backup-simplify]: Simplify (+ 0 0) into 0
1.336 * [backup-simplify]: Simplify (+ 0 1) into 1
1.336 * [backup-simplify]: Simplify 1 into 1
1.337 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
1.337 * [backup-simplify]: Simplify (+ 0 1) into 1
1.337 * [backup-simplify]: Simplify (+ 1 0) into 1
1.337 * [backup-simplify]: Simplify 1 into 1
1.338 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
1.338 * [backup-simplify]: Simplify (+ 1 0) into 1
1.338 * [backup-simplify]: Simplify (+ 1 0) into 1
1.338 * [backup-simplify]: Simplify 1 into 1
1.338 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1))
1.339 * [backup-simplify]: Simplify (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N))) into (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)
1.339 * [approximate]: Taking taylor expansion of (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1) in (N) around 0
1.339 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1) in N
1.339 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (/ 1 N) (/ 1 N)) in N
1.339 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))
1.339 * [taylor]: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N
1.339 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.339 * [taylor]: Taking taylor expansion of N in N
1.339 * [backup-simplify]: Simplify 0 into 0
1.339 * [backup-simplify]: Simplify 1 into 1
1.339 * [backup-simplify]: Simplify (/ 1 1) into 1
1.339 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.339 * [taylor]: Taking taylor expansion of N in N
1.339 * [backup-simplify]: Simplify 0 into 0
1.339 * [backup-simplify]: Simplify 1 into 1
1.339 * [backup-simplify]: Simplify (/ 1 1) into 1
1.339 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.339 * [taylor]: Taking taylor expansion of N in N
1.339 * [backup-simplify]: Simplify 0 into 0
1.339 * [backup-simplify]: Simplify 1 into 1
1.340 * [backup-simplify]: Simplify (/ 1 1) into 1
1.340 * [taylor]: Taking taylor expansion of 1 in N
1.340 * [backup-simplify]: Simplify 1 into 1
1.340 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1) in N
1.340 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (/ 1 N) (/ 1 N)) in N
1.340 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (/ 1 N)) (/ 1 N))
1.340 * [taylor]: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N
1.340 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.340 * [taylor]: Taking taylor expansion of N in N
1.340 * [backup-simplify]: Simplify 0 into 0
1.340 * [backup-simplify]: Simplify 1 into 1
1.340 * [backup-simplify]: Simplify (/ 1 1) into 1
1.340 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.340 * [taylor]: Taking taylor expansion of N in N
1.340 * [backup-simplify]: Simplify 0 into 0
1.340 * [backup-simplify]: Simplify 1 into 1
1.340 * [backup-simplify]: Simplify (/ 1 1) into 1
1.340 * [taylor]: Taking taylor expansion of (/ 1 N) in N
1.340 * [taylor]: Taking taylor expansion of N in N
1.340 * [backup-simplify]: Simplify 0 into 0
1.340 * [backup-simplify]: Simplify 1 into 1
1.341 * [backup-simplify]: Simplify (/ 1 1) into 1
1.341 * [taylor]: Taking taylor expansion of 1 in N
1.341 * [backup-simplify]: Simplify 1 into 1
1.341 * [backup-simplify]: Simplify (* 1 1) into 1
1.341 * [backup-simplify]: Simplify (+ 1 0) into 1
1.341 * [backup-simplify]: Simplify (+ 1 0) into 1
1.341 * [backup-simplify]: Simplify 1 into 1
1.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.343 * [backup-simplify]: Simplify (+ 0 1) into 1
1.343 * [backup-simplify]: Simplify (+ 1 0) into 1
1.343 * [backup-simplify]: Simplify 1 into 1
1.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.345 * [backup-simplify]: Simplify (+ 0 0) into 0
1.346 * [backup-simplify]: Simplify (+ 0 1) into 1
1.346 * [backup-simplify]: Simplify 1 into 1
1.346 * [backup-simplify]: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1))
1.346 * [backup-simplify]: Simplify (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N)))) into (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)
1.346 * [approximate]: Taking taylor expansion of (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1) in (N) around 0
1.346 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1) in N
1.346 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (/ -1 N) (/ -1 N)) in N
1.346 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (/ -1 N)) (/ -1 N))
1.346 * [taylor]: Taking taylor expansion of (* (/ -1 N) (/ -1 N)) in N
1.346 * [taylor]: Taking taylor expansion of (/ -1 N) in N
1.346 * [taylor]: Taking taylor expansion of -1 in N
1.346 * [backup-simplify]: Simplify -1 into -1
1.346 * [taylor]: Taking taylor expansion of N in N
1.346 * [backup-simplify]: Simplify 0 into 0
1.346 * [backup-simplify]: Simplify 1 into 1
1.347 * [backup-simplify]: Simplify (/ -1 1) into -1
1.347 * [taylor]: Taking taylor expansion of (/ -1 N) in N
1.347 * [taylor]: Taking taylor expansion of -1 in N
1.347 * [backup-simplify]: Simplify -1 into -1
1.347 * [taylor]: Taking taylor expansion of N in N
1.347 * [backup-simplify]: Simplify 0 into 0
1.347 * [backup-simplify]: Simplify 1 into 1
1.347 * [backup-simplify]: Simplify (/ -1 1) into -1
1.347 * [taylor]: Taking taylor expansion of (/ -1 N) in N
1.347 * [taylor]: Taking taylor expansion of -1 in N
1.347 * [backup-simplify]: Simplify -1 into -1
1.347 * [taylor]: Taking taylor expansion of N in N
1.347 * [backup-simplify]: Simplify 0 into 0
1.347 * [backup-simplify]: Simplify 1 into 1
1.347 * [backup-simplify]: Simplify (/ -1 1) into -1
1.347 * [taylor]: Taking taylor expansion of 1 in N
1.347 * [backup-simplify]: Simplify 1 into 1
1.347 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1) in N
1.347 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (/ -1 N) (/ -1 N)) in N
1.347 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (/ -1 N)) (/ -1 N))
1.347 * [taylor]: Taking taylor expansion of (* (/ -1 N) (/ -1 N)) in N
1.347 * [taylor]: Taking taylor expansion of (/ -1 N) in N
1.347 * [taylor]: Taking taylor expansion of -1 in N
1.347 * [backup-simplify]: Simplify -1 into -1
1.347 * [taylor]: Taking taylor expansion of N in N
1.347 * [backup-simplify]: Simplify 0 into 0
1.347 * [backup-simplify]: Simplify 1 into 1
1.348 * [backup-simplify]: Simplify (/ -1 1) into -1
1.348 * [taylor]: Taking taylor expansion of (/ -1 N) in N
1.348 * [taylor]: Taking taylor expansion of -1 in N
1.348 * [backup-simplify]: Simplify -1 into -1
1.348 * [taylor]: Taking taylor expansion of N in N
1.348 * [backup-simplify]: Simplify 0 into 0
1.348 * [backup-simplify]: Simplify 1 into 1
1.348 * [backup-simplify]: Simplify (/ -1 1) into -1
1.348 * [taylor]: Taking taylor expansion of (/ -1 N) in N
1.348 * [taylor]: Taking taylor expansion of -1 in N
1.348 * [backup-simplify]: Simplify -1 into -1
1.348 * [taylor]: Taking taylor expansion of N in N
1.348 * [backup-simplify]: Simplify 0 into 0
1.348 * [backup-simplify]: Simplify 1 into 1
1.348 * [backup-simplify]: Simplify (/ -1 1) into -1
1.348 * [taylor]: Taking taylor expansion of 1 in N
1.349 * [backup-simplify]: Simplify 1 into 1
1.349 * [backup-simplify]: Simplify (* -1 -1) into 1
1.349 * [backup-simplify]: Simplify (+ 1 0) into 1
1.349 * [backup-simplify]: Simplify (+ 1 0) into 1
1.349 * [backup-simplify]: Simplify 1 into 1
1.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.351 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
1.351 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.351 * [backup-simplify]: Simplify (+ -1 0) into -1
1.351 * [backup-simplify]: Simplify -1 into -1
1.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.353 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
1.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.354 * [backup-simplify]: Simplify (+ 0 0) into 0
1.354 * [backup-simplify]: Simplify (+ 0 1) into 1
1.354 * [backup-simplify]: Simplify 1 into 1
1.354 * [backup-simplify]: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1))
1.354 * * * [progress]: simplifying candidates
1.354 * * * * [progress]: [ 1 / 35 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (atan2 1 (+ 1 (fma N N N))))))>
1.354 * * * * [progress]: [ 2 / 35 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (atan2 1 (+ 1 (fma N N N))))))>
1.354 * * * * [progress]: [ 3 / 35 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (fma N N N))) 1))>
1.354 * * * * [progress]: [ 4 / 35 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (+ 1 (fma N N N))))))>
1.354 * * * * [progress]: [ 5 / 35 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (+ 1 (fma N N N))))))>
1.354 * * * * [progress]: [ 6 / 35 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (atan2 1 (+ 1 (fma N N N))))))>
1.354 * * * * [progress]: [ 7 / 35 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ 1 (fma N N N))))))>
1.354 * * * * [progress]: [ 8 / 35 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))))>
1.354 * * * * [progress]: [ 9 / 35 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (+ 1 (fma N N N)))))>
1.354 * * * * [progress]: [ 10 / 35 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (atan2 1 (+ 1 (fma N N N))))))>
1.355 * * * * [progress]: [ 11 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log1p (expm1 (+ 1 (fma N N N))))))>
1.355 * * * * [progress]: [ 12 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (expm1 (log1p (+ 1 (fma N N N))))))>
1.355 * * * * [progress]: [ 13 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (fma N N N))))>
1.355 * * * * [progress]: [ 14 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (sqrt 1) (sqrt 1) (fma N N N))))>
1.355 * * * * [progress]: [ 15 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma 1 1 (fma N N N))))>
1.355 * * * * [progress]: [ 16 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log (* (exp 1) (exp (fma N N N))))))>
1.355 * * * * [progress]: [ 17 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (pow (+ 1 (fma N N N)) 1)))>
1.355 * * * * [progress]: [ 18 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (exp (log (+ 1 (fma N N N))))))>
1.355 * * * * [progress]: [ 19 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log (exp (+ 1 (fma N N N))))))>
1.355 * * * * [progress]: [ 20 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (+ 1 (fma N N N))) (cbrt (+ 1 (fma N N N)))) (cbrt (+ 1 (fma N N N))))))>
1.355 * * * * [progress]: [ 21 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (cbrt (* (* (+ 1 (fma N N N)) (+ 1 (fma N N N))) (+ 1 (fma N N N))))))>
1.355 * * * * [progress]: [ 22 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (+ 1 (fma N N N))) (sqrt (+ 1 (fma N N N))))))>
1.355 * * * * [progress]: [ 23 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (/ (+ (pow 1 3) (pow (fma N N N) 3)) (+ (* 1 1) (- (* (fma N N N) (fma N N N)) (* 1 (fma N N N)))))))>
1.355 * * * * [progress]: [ 24 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* 1 (+ 1 (fma N N N)))))>
1.355 * * * * [progress]: [ 25 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (/ (- (* 1 1) (* (fma N N N) (fma N N N))) (- 1 (fma N N N)))))>
1.355 * * * * [progress]: [ 26 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* 1 (+ 1 (fma N N N)))))>
1.355 * * * * [progress]: [ 27 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (+ 1 (* N N)) N)))>
1.355 * * * * [progress]: [ 28 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (posit16->real (real->posit16 (+ 1 (fma N N N))))))>
1.355 * * * * [progress]: [ 29 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))>
1.355 * * * * [progress]: [ 30 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))>
1.355 * * * * [progress]: [ 31 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))>
1.355 * * * * [progress]: [ 32 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))>
1.355 * * * * [progress]: [ 33 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
1.355 * * * * [progress]: [ 34 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
1.355 * * * * [progress]: [ 35 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
1.356 * [simplify]: Simplifying (expm1 (atan2 1 (+ 1 (fma N N N)))), (log1p (atan2 1 (+ 1 (fma N N N)))), (log (atan2 1 (+ 1 (fma N N N)))), (exp (atan2 1 (+ 1 (fma N N N)))), (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))), (cbrt (atan2 1 (+ 1 (fma N N N)))), (* (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (real->posit16 (atan2 1 (+ 1 (fma N N N)))), (expm1 (+ 1 (fma N N N))), (log1p (+ 1 (fma N N N))), (* (exp 1) (exp (fma N N N))), (log (+ 1 (fma N N N))), (exp (+ 1 (fma N N N))), (* (cbrt (+ 1 (fma N N N))) (cbrt (+ 1 (fma N N N)))), (cbrt (+ 1 (fma N N N))), (* (* (+ 1 (fma N N N)) (+ 1 (fma N N N))) (+ 1 (fma N N N))), (sqrt (+ 1 (fma N N N))), (sqrt (+ 1 (fma N N N))), (+ (pow 1 3) (pow (fma N N N) 3)), (+ (* 1 1) (- (* (fma N N N) (fma N N N)) (* 1 (fma N N N)))), (- (* 1 1) (* (fma N N N) (fma N N N))), (- 1 (fma N N N)), (+ 1 (fma N N N)), (+ 1 (* N N)), (real->posit16 (+ 1 (fma N N N))), (atan2 1 (+ (fma N N N) 1)), (atan2 1 (+ (fma N N N) 1)), (atan2 1 (+ (fma N N N) 1)), (+ N (+ (pow N 2) 1)), (+ N (+ (pow N 2) 1)), (+ N (+ (pow N 2) 1))
1.356 * * [simplify]: iteration 1: (47 enodes)
1.372 * * [simplify]: iteration 2: (173 enodes)
1.404 * * [simplify]: iteration 3: (287 enodes)
1.486 * * [simplify]: iteration 4: (662 enodes)
2.382 * * [simplify]: Extracting #0: cost 25 inf + 0
2.383 * * [simplify]: Extracting #1: cost 261 inf + 0
2.389 * * [simplify]: Extracting #2: cost 872 inf + 15933
2.424 * * [simplify]: Extracting #3: cost 256 inf + 139126
2.471 * * [simplify]: Extracting #4: cost 21 inf + 182439
2.520 * * [simplify]: Extracting #5: cost 3 inf + 187040
2.570 * * [simplify]: Extracting #6: cost 0 inf + 188343
2.619 * [simplify]: Simplified to (expm1 (atan2 1 (+ 1 (fma N N N)))), (log1p (atan2 1 (+ 1 (fma N N N)))), (log (atan2 1 (+ 1 (fma N N N)))), (exp (atan2 1 (+ 1 (fma N N N)))), (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))), (cbrt (atan2 1 (+ 1 (fma N N N)))), (* (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (real->posit16 (atan2 1 (+ 1 (fma N N N)))), (expm1 (+ 1 (fma N N N))), (log1p (+ 1 (fma N N N))), (exp (+ 1 (fma N N N))), (log1p (fma N N N)), (exp (+ 1 (fma N N N))), (* (cbrt (+ 1 (fma N N N))) (cbrt (+ 1 (fma N N N)))), (cbrt (+ 1 (fma N N N))), (* (* (+ 1 (fma N N N)) (+ 1 (fma N N N))) (+ 1 (fma N N N))), (sqrt (+ 1 (fma N N N))), (sqrt (+ 1 (fma N N N))), (fma (fma N N N) (* (fma N N N) (fma N N N)) 1), (- (fma (fma N N N) (fma N N N) 1) (fma N N N)), (- 1 (* (fma N N N) (fma N N N))), (- 1 (fma N N N)), (+ 1 (fma N N N)), (fma N N 1), (real->posit16 (+ 1 (fma N N N))), (atan2 1 (+ 1 (fma N N N))), (atan2 1 (+ 1 (fma N N N))), (atan2 1 (+ 1 (fma N N N))), (+ 1 (fma N N N)), (+ 1 (fma N N N)), (+ 1 (fma N N N))
2.620 * * * [progress]: adding candidates to table
2.816 * * [progress]: iteration 3 / 4
2.816 * * * [progress]: picking best candidate
2.827 * * * * [pick]: Picked  #<alt (λ (N) (atan2 1 (+ (fma N N 1) N)))>
2.828 * * * [progress]: localizing error
2.837 * * * [progress]: generating rewritten candidates
2.837 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
2.838 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2)
2.842 * * * [progress]: generating series expansions
2.843 * * * * [progress]: [ 1 / 2 ] generating series at (2)
2.843 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N 1) N)) into (atan2 1 (+ N (fma N N 1)))
2.843 * [approximate]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in (N) around 0
2.843 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N
2.843 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1)))
2.843 * [taylor]: Taking taylor expansion of (atan2 1 (+ N (fma N N 1))) in N
2.843 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1)))
2.843 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1)))
2.843 * [backup-simplify]: Simplify 0 into 0
2.843 * [backup-simplify]: Simplify 0 into 0
2.843 * [backup-simplify]: Simplify 0 into 0
2.843 * [backup-simplify]: Simplify 0 into 0
2.843 * [backup-simplify]: Simplify 0 into 0
2.843 * [backup-simplify]: Simplify 0 into 0
2.843 * [backup-simplify]: Simplify (atan2 1 (+ N (fma N N 1))) into (atan2 1 (+ N (fma N N 1)))
2.843 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) 1) (/ 1 N))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))
2.843 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in (N) around 0
2.843 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N
2.843 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))
2.843 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) in N
2.844 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))
2.844 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))) into (atan2 1 (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)))
2.844 * [backup-simplify]: Simplify 0 into 0
2.844 * [backup-simplify]: Simplify 0 into 0
2.844 * [backup-simplify]: Simplify 0 into 0
2.844 * [backup-simplify]: Simplify 0 into 0
2.844 * [backup-simplify]: Simplify 0 into 0
2.844 * [backup-simplify]: Simplify 0 into 0
2.844 * [backup-simplify]: Simplify (atan2 1 (+ (/ 1 (/ 1 N)) (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) 1))) into (atan2 1 (+ N (fma N N 1)))
2.844 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 (- N)) (/ 1 (- N)) 1) (/ 1 (- N)))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))
2.844 * [approximate]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in (N) around 0
2.844 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N
2.844 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))
2.844 * [taylor]: Taking taylor expansion of (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) in N
2.844 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))
2.844 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))) into (atan2 1 (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)))
2.844 * [backup-simplify]: Simplify 0 into 0
2.844 * [backup-simplify]: Simplify 0 into 0
2.844 * [backup-simplify]: Simplify 0 into 0
2.844 * [backup-simplify]: Simplify 0 into 0
2.844 * [backup-simplify]: Simplify 0 into 0
2.844 * [backup-simplify]: Simplify 0 into 0
2.845 * [backup-simplify]: Simplify (atan2 1 (- (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) 1) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ N (fma N N 1)))
2.845 * * * * [progress]: [ 2 / 2 ] generating series at (2 2)
2.845 * [backup-simplify]: Simplify (+ (fma N N 1) N) into (+ N (fma N N 1))
2.845 * [approximate]: Taking taylor expansion of (+ N (fma N N 1)) in (N) around 0
2.845 * [taylor]: Taking taylor expansion of (+ N (fma N N 1)) in N
2.845 * [taylor]: Taking taylor expansion of N in N
2.845 * [backup-simplify]: Simplify 0 into 0
2.845 * [backup-simplify]: Simplify 1 into 1
2.845 * [taylor]: Taking taylor expansion of (fma N N 1) in N
2.845 * [taylor]: Rewrote expression to (+ (* N N) 1)
2.845 * [taylor]: Taking taylor expansion of (* N N) in N
2.845 * [taylor]: Taking taylor expansion of N in N
2.845 * [backup-simplify]: Simplify 0 into 0
2.845 * [backup-simplify]: Simplify 1 into 1
2.845 * [taylor]: Taking taylor expansion of N in N
2.845 * [backup-simplify]: Simplify 0 into 0
2.845 * [backup-simplify]: Simplify 1 into 1
2.845 * [taylor]: Taking taylor expansion of 1 in N
2.845 * [backup-simplify]: Simplify 1 into 1
2.845 * [taylor]: Taking taylor expansion of (+ N (fma N N 1)) in N
2.845 * [taylor]: Taking taylor expansion of N in N
2.845 * [backup-simplify]: Simplify 0 into 0
2.845 * [backup-simplify]: Simplify 1 into 1
2.845 * [taylor]: Taking taylor expansion of (fma N N 1) in N
2.845 * [taylor]: Rewrote expression to (+ (* N N) 1)
2.845 * [taylor]: Taking taylor expansion of (* N N) in N
2.845 * [taylor]: Taking taylor expansion of N in N
2.845 * [backup-simplify]: Simplify 0 into 0
2.845 * [backup-simplify]: Simplify 1 into 1
2.845 * [taylor]: Taking taylor expansion of N in N
2.845 * [backup-simplify]: Simplify 0 into 0
2.845 * [backup-simplify]: Simplify 1 into 1
2.845 * [taylor]: Taking taylor expansion of 1 in N
2.845 * [backup-simplify]: Simplify 1 into 1
2.846 * [backup-simplify]: Simplify (* 0 0) into 0
2.846 * [backup-simplify]: Simplify (+ 0 1) into 1
2.846 * [backup-simplify]: Simplify (+ 0 1) into 1
2.846 * [backup-simplify]: Simplify 1 into 1
2.847 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.847 * [backup-simplify]: Simplify (+ 0 0) into 0
2.847 * [backup-simplify]: Simplify (+ 1 0) into 1
2.847 * [backup-simplify]: Simplify 1 into 1
2.848 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
2.848 * [backup-simplify]: Simplify (+ 1 0) into 1
2.848 * [backup-simplify]: Simplify (+ 0 1) into 1
2.848 * [backup-simplify]: Simplify 1 into 1
2.848 * [backup-simplify]: Simplify (+ (* 1 (pow N 2)) (+ (* 1 N) 1)) into (+ N (+ (pow N 2) 1))
2.848 * [backup-simplify]: Simplify (+ (fma (/ 1 N) (/ 1 N) 1) (/ 1 N)) into (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1))
2.848 * [approximate]: Taking taylor expansion of (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)) in (N) around 0
2.848 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)) in N
2.848 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.849 * [taylor]: Taking taylor expansion of N in N
2.849 * [backup-simplify]: Simplify 0 into 0
2.849 * [backup-simplify]: Simplify 1 into 1
2.849 * [backup-simplify]: Simplify (/ 1 1) into 1
2.849 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (/ 1 N) 1) in N
2.849 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (/ 1 N)) 1)
2.849 * [taylor]: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N
2.849 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.849 * [taylor]: Taking taylor expansion of N in N
2.849 * [backup-simplify]: Simplify 0 into 0
2.849 * [backup-simplify]: Simplify 1 into 1
2.849 * [backup-simplify]: Simplify (/ 1 1) into 1
2.849 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.849 * [taylor]: Taking taylor expansion of N in N
2.849 * [backup-simplify]: Simplify 0 into 0
2.849 * [backup-simplify]: Simplify 1 into 1
2.849 * [backup-simplify]: Simplify (/ 1 1) into 1
2.849 * [taylor]: Taking taylor expansion of 1 in N
2.850 * [backup-simplify]: Simplify 1 into 1
2.850 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (fma (/ 1 N) (/ 1 N) 1)) in N
2.850 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.850 * [taylor]: Taking taylor expansion of N in N
2.850 * [backup-simplify]: Simplify 0 into 0
2.850 * [backup-simplify]: Simplify 1 into 1
2.850 * [backup-simplify]: Simplify (/ 1 1) into 1
2.850 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (/ 1 N) 1) in N
2.850 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (/ 1 N)) 1)
2.850 * [taylor]: Taking taylor expansion of (* (/ 1 N) (/ 1 N)) in N
2.850 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.850 * [taylor]: Taking taylor expansion of N in N
2.850 * [backup-simplify]: Simplify 0 into 0
2.850 * [backup-simplify]: Simplify 1 into 1
2.850 * [backup-simplify]: Simplify (/ 1 1) into 1
2.850 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.850 * [taylor]: Taking taylor expansion of N in N
2.850 * [backup-simplify]: Simplify 0 into 0
2.850 * [backup-simplify]: Simplify 1 into 1
2.851 * [backup-simplify]: Simplify (/ 1 1) into 1
2.851 * [taylor]: Taking taylor expansion of 1 in N
2.851 * [backup-simplify]: Simplify 1 into 1
2.851 * [backup-simplify]: Simplify (* 1 1) into 1
2.851 * [backup-simplify]: Simplify (+ 1 0) into 1
2.851 * [backup-simplify]: Simplify (+ 0 1) into 1
2.851 * [backup-simplify]: Simplify 1 into 1
2.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.853 * [backup-simplify]: Simplify (+ 0 0) into 0
2.853 * [backup-simplify]: Simplify (+ 1 0) into 1
2.853 * [backup-simplify]: Simplify 1 into 1
2.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.855 * [backup-simplify]: Simplify (+ 0 1) into 1
2.856 * [backup-simplify]: Simplify (+ 0 1) into 1
2.856 * [backup-simplify]: Simplify 1 into 1
2.856 * [backup-simplify]: Simplify (+ 1 (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2)))) into (+ N (+ (pow N 2) 1))
2.856 * [backup-simplify]: Simplify (+ (fma (/ 1 (- N)) (/ 1 (- N)) 1) (/ 1 (- N))) into (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N))
2.856 * [approximate]: Taking taylor expansion of (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)) in (N) around 0
2.856 * [taylor]: Taking taylor expansion of (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)) in N
2.856 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (/ -1 N) 1) in N
2.856 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (/ -1 N)) 1)
2.856 * [taylor]: Taking taylor expansion of (* (/ -1 N) (/ -1 N)) in N
2.856 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.856 * [taylor]: Taking taylor expansion of -1 in N
2.856 * [backup-simplify]: Simplify -1 into -1
2.856 * [taylor]: Taking taylor expansion of N in N
2.856 * [backup-simplify]: Simplify 0 into 0
2.856 * [backup-simplify]: Simplify 1 into 1
2.857 * [backup-simplify]: Simplify (/ -1 1) into -1
2.857 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.857 * [taylor]: Taking taylor expansion of -1 in N
2.857 * [backup-simplify]: Simplify -1 into -1
2.857 * [taylor]: Taking taylor expansion of N in N
2.857 * [backup-simplify]: Simplify 0 into 0
2.857 * [backup-simplify]: Simplify 1 into 1
2.857 * [backup-simplify]: Simplify (/ -1 1) into -1
2.857 * [taylor]: Taking taylor expansion of 1 in N
2.857 * [backup-simplify]: Simplify 1 into 1
2.857 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.857 * [taylor]: Taking taylor expansion of N in N
2.857 * [backup-simplify]: Simplify 0 into 0
2.857 * [backup-simplify]: Simplify 1 into 1
2.857 * [backup-simplify]: Simplify (/ 1 1) into 1
2.857 * [taylor]: Taking taylor expansion of (- (fma (/ -1 N) (/ -1 N) 1) (/ 1 N)) in N
2.857 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (/ -1 N) 1) in N
2.857 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (/ -1 N)) 1)
2.857 * [taylor]: Taking taylor expansion of (* (/ -1 N) (/ -1 N)) in N
2.857 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.857 * [taylor]: Taking taylor expansion of -1 in N
2.857 * [backup-simplify]: Simplify -1 into -1
2.857 * [taylor]: Taking taylor expansion of N in N
2.857 * [backup-simplify]: Simplify 0 into 0
2.857 * [backup-simplify]: Simplify 1 into 1
2.858 * [backup-simplify]: Simplify (/ -1 1) into -1
2.858 * [taylor]: Taking taylor expansion of (/ -1 N) in N
2.858 * [taylor]: Taking taylor expansion of -1 in N
2.858 * [backup-simplify]: Simplify -1 into -1
2.858 * [taylor]: Taking taylor expansion of N in N
2.858 * [backup-simplify]: Simplify 0 into 0
2.858 * [backup-simplify]: Simplify 1 into 1
2.858 * [backup-simplify]: Simplify (/ -1 1) into -1
2.858 * [taylor]: Taking taylor expansion of 1 in N
2.858 * [backup-simplify]: Simplify 1 into 1
2.858 * [taylor]: Taking taylor expansion of (/ 1 N) in N
2.858 * [taylor]: Taking taylor expansion of N in N
2.858 * [backup-simplify]: Simplify 0 into 0
2.858 * [backup-simplify]: Simplify 1 into 1
2.858 * [backup-simplify]: Simplify (/ 1 1) into 1
2.859 * [backup-simplify]: Simplify (* -1 -1) into 1
2.859 * [backup-simplify]: Simplify (+ 1 0) into 1
2.859 * [backup-simplify]: Simplify (+ 1 0) into 1
2.859 * [backup-simplify]: Simplify 1 into 1
2.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.861 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.861 * [backup-simplify]: Simplify (+ 0 0) into 0
2.861 * [backup-simplify]: Simplify (- 1) into -1
2.861 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.861 * [backup-simplify]: Simplify -1 into -1
2.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.863 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
2.863 * [backup-simplify]: Simplify (+ 0 1) into 1
2.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.864 * [backup-simplify]: Simplify (- 0) into 0
2.864 * [backup-simplify]: Simplify (+ 1 0) into 1
2.864 * [backup-simplify]: Simplify 1 into 1
2.864 * [backup-simplify]: Simplify (+ 1 (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2)))) into (+ N (+ (pow N 2) 1))
2.864 * * * [progress]: simplifying candidates
2.864 * * * * [progress]: [ 1 / 35 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (atan2 1 (+ (fma N N 1) N)))))>
2.864 * * * * [progress]: [ 2 / 35 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (atan2 1 (+ (fma N N 1) N)))))>
2.865 * * * * [progress]: [ 3 / 35 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ (fma N N 1) N)) 1))>
2.865 * * * * [progress]: [ 4 / 35 ] simplifiying candidate #<alt (λ (N) (exp (log (atan2 1 (+ (fma N N 1) N)))))>
2.865 * * * * [progress]: [ 5 / 35 ] simplifiying candidate #<alt (λ (N) (log (exp (atan2 1 (+ (fma N N 1) N)))))>
2.865 * * * * [progress]: [ 6 / 35 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (atan2 1 (+ (fma N N 1) N))) (cbrt (atan2 1 (+ (fma N N 1) N)))) (cbrt (atan2 1 (+ (fma N N 1) N)))))>
2.865 * * * * [progress]: [ 7 / 35 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (atan2 1 (+ (fma N N 1) N)) (atan2 1 (+ (fma N N 1) N))) (atan2 1 (+ (fma N N 1) N)))))>
2.865 * * * * [progress]: [ 8 / 35 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ (fma N N 1) N))) (sqrt (atan2 1 (+ (fma N N 1) N)))))>
2.865 * * * * [progress]: [ 9 / 35 ] simplifiying candidate #<alt (λ (N) (* 1 (atan2 1 (+ (fma N N 1) N))))>
2.865 * * * * [progress]: [ 10 / 35 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (atan2 1 (+ (fma N N 1) N)))))>
2.865 * * * * [progress]: [ 11 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log1p (expm1 (+ (fma N N 1) N)))))>
2.865 * * * * [progress]: [ 12 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (expm1 (log1p (+ (fma N N 1) N)))))>
2.865 * * * * [progress]: [ 13 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (* (cbrt (fma N N 1)) (cbrt (fma N N 1))) (cbrt (fma N N 1)) N)))>
2.865 * * * * [progress]: [ 14 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma (sqrt (fma N N 1)) (sqrt (fma N N 1)) N)))>
2.865 * * * * [progress]: [ 15 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (fma 1 (fma N N 1) N)))>
2.865 * * * * [progress]: [ 16 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log (* (exp (fma N N 1)) (exp N)))))>
2.865 * * * * [progress]: [ 17 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (pow (+ (fma N N 1) N) 1)))>
2.865 * * * * [progress]: [ 18 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (exp (log (+ (fma N N 1) N)))))>
2.865 * * * * [progress]: [ 19 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (log (exp (+ (fma N N 1) N)))))>
2.865 * * * * [progress]: [ 20 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (* (cbrt (+ (fma N N 1) N)) (cbrt (+ (fma N N 1) N))) (cbrt (+ (fma N N 1) N)))))>
2.865 * * * * [progress]: [ 21 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (cbrt (* (* (+ (fma N N 1) N) (+ (fma N N 1) N)) (+ (fma N N 1) N)))))>
2.865 * * * * [progress]: [ 22 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* (sqrt (+ (fma N N 1) N)) (sqrt (+ (fma N N 1) N)))))>
2.865 * * * * [progress]: [ 23 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (/ (+ (pow (fma N N 1) 3) (pow N 3)) (+ (* (fma N N 1) (fma N N 1)) (- (* N N) (* (fma N N 1) N))))))>
2.865 * * * * [progress]: [ 24 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* 1 (+ (fma N N 1) N))))>
2.865 * * * * [progress]: [ 25 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (/ (- (* (fma N N 1) (fma N N 1)) (* N N)) (- (fma N N 1) N))))>
2.865 * * * * [progress]: [ 26 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (* 1 (+ (fma N N 1) N))))>
2.865 * * * * [progress]: [ 27 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (* N N) (+ 1 N))))>
2.865 * * * * [progress]: [ 28 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (posit16->real (real->posit16 (+ (fma N N 1) N)))))>
2.865 * * * * [progress]: [ 29 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (fma N N 1))))>
2.865 * * * * [progress]: [ 30 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (fma N N 1))))>
2.865 * * * * [progress]: [ 31 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (fma N N 1))))>
2.866 * * * * [progress]: [ 32 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (fma N N 1))))>
2.866 * * * * [progress]: [ 33 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.866 * * * * [progress]: [ 34 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.866 * * * * [progress]: [ 35 / 35 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ N (+ (pow N 2) 1))))>
2.866 * [simplify]: Simplifying (expm1 (atan2 1 (+ (fma N N 1) N))), (log1p (atan2 1 (+ (fma N N 1) N))), (log (atan2 1 (+ (fma N N 1) N))), (exp (atan2 1 (+ (fma N N 1) N))), (* (cbrt (atan2 1 (+ (fma N N 1) N))) (cbrt (atan2 1 (+ (fma N N 1) N)))), (cbrt (atan2 1 (+ (fma N N 1) N))), (* (* (atan2 1 (+ (fma N N 1) N)) (atan2 1 (+ (fma N N 1) N))) (atan2 1 (+ (fma N N 1) N))), (sqrt (atan2 1 (+ (fma N N 1) N))), (sqrt (atan2 1 (+ (fma N N 1) N))), (real->posit16 (atan2 1 (+ (fma N N 1) N))), (expm1 (+ (fma N N 1) N)), (log1p (+ (fma N N 1) N)), (* (exp (fma N N 1)) (exp N)), (log (+ (fma N N 1) N)), (exp (+ (fma N N 1) N)), (* (cbrt (+ (fma N N 1) N)) (cbrt (+ (fma N N 1) N))), (cbrt (+ (fma N N 1) N)), (* (* (+ (fma N N 1) N) (+ (fma N N 1) N)) (+ (fma N N 1) N)), (sqrt (+ (fma N N 1) N)), (sqrt (+ (fma N N 1) N)), (+ (pow (fma N N 1) 3) (pow N 3)), (+ (* (fma N N 1) (fma N N 1)) (- (* N N) (* (fma N N 1) N))), (- (* (fma N N 1) (fma N N 1)) (* N N)), (- (fma N N 1) N), (+ (fma N N 1) N), (+ 1 N), (real->posit16 (+ (fma N N 1) N)), (atan2 1 (+ N (fma N N 1))), (atan2 1 (+ N (fma N N 1))), (atan2 1 (+ N (fma N N 1))), (+ N (+ (pow N 2) 1)), (+ N (+ (pow N 2) 1)), (+ N (+ (pow N 2) 1))
2.866 * * [simplify]: iteration 1: (46 enodes)
2.882 * * [simplify]: iteration 2: (181 enodes)
2.918 * * [simplify]: iteration 3: (403 enodes)
3.048 * * [simplify]: iteration 4: (951 enodes)
3.902 * * [simplify]: Extracting #0: cost 25 inf + 0
3.902 * * [simplify]: Extracting #1: cost 197 inf + 0
3.907 * * [simplify]: Extracting #2: cost 542 inf + 10511
3.929 * * [simplify]: Extracting #3: cost 116 inf + 107984
3.961 * * [simplify]: Extracting #4: cost 18 inf + 128377
3.997 * * [simplify]: Extracting #5: cost 2 inf + 133551
4.030 * * [simplify]: Extracting #6: cost 0 inf + 134493
4.064 * [simplify]: Simplified to (expm1 (atan2 1 (fma N (+ N 1) 1))), (log1p (atan2 1 (fma N (+ N 1) 1))), (log (atan2 1 (fma N (+ N 1) 1))), (exp (atan2 1 (fma N (+ N 1) 1))), (* (cbrt (atan2 1 (fma N (+ N 1) 1))) (cbrt (atan2 1 (fma N (+ N 1) 1)))), (cbrt (atan2 1 (fma N (+ N 1) 1))), (* (* (atan2 1 (fma N (+ N 1) 1)) (atan2 1 (fma N (+ N 1) 1))) (atan2 1 (fma N (+ N 1) 1))), (sqrt (atan2 1 (fma N (+ N 1) 1))), (sqrt (atan2 1 (fma N (+ N 1) 1))), (real->posit16 (atan2 1 (fma N (+ N 1) 1))), (expm1 (fma N (+ N 1) 1)), (log1p (fma N (+ N 1) 1)), (exp (fma N (+ N 1) 1)), (log1p (fma N N N)), (exp (fma N (+ N 1) 1)), (* (cbrt (fma N (+ N 1) 1)) (cbrt (fma N (+ N 1) 1))), (cbrt (fma N (+ N 1) 1)), (* (fma N (+ N 1) 1) (* (fma N (+ N 1) 1) (fma N (+ N 1) 1))), (sqrt (fma N (+ N 1) 1)), (sqrt (fma N (+ N 1) 1)), (fma (fma N N 1) (* (fma N N 1) (fma N N 1)) (* N (* N N))), (fma (- N (fma N N 1)) N (* (fma N N 1) (fma N N 1))), (- (* (fma N N 1) (fma N N 1)) (* N N)), (- (fma N N 1) N), (fma N (+ N 1) 1), (+ N 1), (real->posit16 (fma N (+ N 1) 1)), (atan2 1 (fma N (+ N 1) 1)), (atan2 1 (fma N (+ N 1) 1)), (atan2 1 (fma N (+ N 1) 1)), (fma N (+ N 1) 1), (fma N (+ N 1) 1), (fma N (+ N 1) 1)
4.065 * * * [progress]: adding candidates to table
4.261 * * [progress]: iteration 4 / 4
4.261 * * * [progress]: picking best candidate
4.271 * * * * [pick]: Picked  #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))))>
4.271 * * * [progress]: localizing error
4.285 * * * [progress]: generating rewritten candidates
4.285 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
4.287 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
4.290 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
4.300 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
4.301 * * * [progress]: generating series expansions
4.301 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
4.301 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma N N N)))) into (sqrt (atan2 1 (+ (fma N N N) 1)))
4.301 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in (N) around 0
4.301 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in N
4.301 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N
4.301 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
4.301 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1)))
4.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0
4.302 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in N
4.302 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N
4.302 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
4.302 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1)))
4.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0
4.302 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1)))
4.302 * [backup-simplify]: Simplify 0 into 0
4.303 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0
4.303 * [backup-simplify]: Simplify 0 into 0
4.303 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0
4.303 * [backup-simplify]: Simplify 0 into 0
4.304 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0
4.304 * [backup-simplify]: Simplify 0 into 0
4.304 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0
4.304 * [backup-simplify]: Simplify 0 into 0
4.305 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0
4.305 * [backup-simplify]: Simplify 0 into 0
4.305 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1)))
4.305 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N))))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)))
4.305 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in (N) around 0
4.305 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in N
4.305 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N
4.305 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
4.306 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)))
4.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0
4.306 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in N
4.306 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N
4.306 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
4.307 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)))
4.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0
4.307 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)))
4.307 * [backup-simplify]: Simplify 0 into 0
4.308 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0
4.308 * [backup-simplify]: Simplify 0 into 0
4.308 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0
4.309 * [backup-simplify]: Simplify 0 into 0
4.309 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0
4.309 * [backup-simplify]: Simplify 0 into 0
4.310 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0
4.310 * [backup-simplify]: Simplify 0 into 0
4.310 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0
4.310 * [backup-simplify]: Simplify 0 into 0
4.311 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1)))
4.311 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N)))))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)))
4.311 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in (N) around 0
4.311 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in N
4.311 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N
4.311 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
4.311 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)))
4.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0
4.311 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in N
4.311 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N
4.311 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
4.311 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)))
4.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0
4.312 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)))
4.312 * [backup-simplify]: Simplify 0 into 0
4.312 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0
4.312 * [backup-simplify]: Simplify 0 into 0
4.313 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0
4.313 * [backup-simplify]: Simplify 0 into 0
4.313 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0
4.313 * [backup-simplify]: Simplify 0 into 0
4.314 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0
4.314 * [backup-simplify]: Simplify 0 into 0
4.315 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0
4.315 * [backup-simplify]: Simplify 0 into 0
4.315 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1)))
4.315 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
4.315 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma N N N)))) into (sqrt (atan2 1 (+ (fma N N N) 1)))
4.315 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in (N) around 0
4.315 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in N
4.315 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N
4.315 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
4.315 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1)))
4.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0
4.315 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma N N N) 1))) in N
4.315 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N
4.315 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
4.315 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1)))
4.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0
4.316 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1)))
4.316 * [backup-simplify]: Simplify 0 into 0
4.316 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0
4.316 * [backup-simplify]: Simplify 0 into 0
4.317 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0
4.317 * [backup-simplify]: Simplify 0 into 0
4.317 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0
4.317 * [backup-simplify]: Simplify 0 into 0
4.318 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0
4.318 * [backup-simplify]: Simplify 0 into 0
4.319 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma N N N) 1))))) into 0
4.319 * [backup-simplify]: Simplify 0 into 0
4.319 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma N N N) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1)))
4.319 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N))))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)))
4.319 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in (N) around 0
4.319 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in N
4.319 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N
4.319 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
4.319 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)))
4.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0
4.319 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) in N
4.319 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N
4.319 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
4.319 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)))
4.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0
4.320 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)))
4.320 * [backup-simplify]: Simplify 0 into 0
4.320 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0
4.320 * [backup-simplify]: Simplify 0 into 0
4.321 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0
4.321 * [backup-simplify]: Simplify 0 into 0
4.322 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0
4.322 * [backup-simplify]: Simplify 0 into 0
4.322 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0
4.322 * [backup-simplify]: Simplify 0 into 0
4.323 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))))) into 0
4.323 * [backup-simplify]: Simplify 0 into 0
4.323 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1)))
4.323 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N)))))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)))
4.323 * [approximate]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in (N) around 0
4.323 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in N
4.323 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N
4.323 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
4.323 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)))
4.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0
4.324 * [taylor]: Taking taylor expansion of (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) in N
4.324 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N
4.324 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
4.324 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)))
4.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0
4.324 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))) into (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)))
4.324 * [backup-simplify]: Simplify 0 into 0
4.325 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0
4.325 * [backup-simplify]: Simplify 0 into 0
4.325 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0
4.325 * [backup-simplify]: Simplify 0 into 0
4.326 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0
4.326 * [backup-simplify]: Simplify 0 into 0
4.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0
4.327 * [backup-simplify]: Simplify 0 into 0
4.327 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))))) into 0
4.327 * [backup-simplify]: Simplify 0 into 0
4.327 * [backup-simplify]: Simplify (sqrt (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1))) into (sqrt (atan2 1 (+ (fma N N N) 1)))
4.327 * * * * [progress]: [ 3 / 4 ] generating series at (2)
4.328 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) into (atan2 1 (+ (fma N N N) 1))
4.328 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in (N) around 0
4.328 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N
4.328 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
4.328 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N
4.328 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
4.328 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
4.328 * [backup-simplify]: Simplify 0 into 0
4.328 * [backup-simplify]: Simplify 0 into 0
4.328 * [backup-simplify]: Simplify 0 into 0
4.328 * [backup-simplify]: Simplify 0 into 0
4.328 * [backup-simplify]: Simplify 0 into 0
4.328 * [backup-simplify]: Simplify 0 into 0
4.328 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
4.328 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N))))) (sqrt (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N)))))) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
4.328 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in (N) around 0
4.328 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N
4.328 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
4.328 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N
4.329 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
4.329 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
4.329 * [backup-simplify]: Simplify 0 into 0
4.329 * [backup-simplify]: Simplify 0 into 0
4.329 * [backup-simplify]: Simplify 0 into 0
4.329 * [backup-simplify]: Simplify 0 into 0
4.329 * [backup-simplify]: Simplify 0 into 0
4.329 * [backup-simplify]: Simplify 0 into 0
4.329 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1)) into (atan2 1 (+ (fma N N N) 1))
4.329 * [backup-simplify]: Simplify (* (sqrt (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N)))))) (sqrt (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))))))) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
4.329 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in (N) around 0
4.329 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N
4.329 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
4.329 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N
4.330 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
4.330 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
4.330 * [backup-simplify]: Simplify 0 into 0
4.330 * [backup-simplify]: Simplify 0 into 0
4.330 * [backup-simplify]: Simplify 0 into 0
4.330 * [backup-simplify]: Simplify 0 into 0
4.330 * [backup-simplify]: Simplify 0 into 0
4.330 * [backup-simplify]: Simplify 0 into 0
4.330 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1)) into (atan2 1 (+ (fma N N N) 1))
4.330 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
4.330 * [backup-simplify]: Simplify (atan2 1 (+ 1 (fma N N N))) into (atan2 1 (+ (fma N N N) 1))
4.330 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in (N) around 0
4.330 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N
4.330 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
4.330 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma N N N) 1)) in N
4.330 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
4.330 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
4.330 * [backup-simplify]: Simplify 0 into 0
4.330 * [backup-simplify]: Simplify 0 into 0
4.330 * [backup-simplify]: Simplify 0 into 0
4.330 * [backup-simplify]: Simplify 0 into 0
4.331 * [backup-simplify]: Simplify 0 into 0
4.331 * [backup-simplify]: Simplify 0 into 0
4.331 * [backup-simplify]: Simplify (atan2 1 (+ (fma N N N) 1)) into (atan2 1 (+ (fma N N N) 1))
4.331 * [backup-simplify]: Simplify (atan2 1 (+ 1 (fma (/ 1 N) (/ 1 N) (/ 1 N)))) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
4.331 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in (N) around 0
4.331 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N
4.331 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
4.331 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) in N
4.331 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
4.331 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1)) into (atan2 1 (+ (fma (/ 1 N) (/ 1 N) (/ 1 N)) 1))
4.331 * [backup-simplify]: Simplify 0 into 0
4.331 * [backup-simplify]: Simplify 0 into 0
4.331 * [backup-simplify]: Simplify 0 into 0
4.331 * [backup-simplify]: Simplify 0 into 0
4.331 * [backup-simplify]: Simplify 0 into 0
4.331 * [backup-simplify]: Simplify 0 into 0
4.331 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ 1 (/ 1 N)) (/ 1 (/ 1 N)) (/ 1 (/ 1 N))) 1)) into (atan2 1 (+ (fma N N N) 1))
4.331 * [backup-simplify]: Simplify (atan2 1 (+ 1 (fma (/ 1 (- N)) (/ 1 (- N)) (/ 1 (- N))))) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
4.331 * [approximate]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in (N) around 0
4.331 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N
4.332 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
4.332 * [taylor]: Taking taylor expansion of (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) in N
4.332 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
4.332 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1)) into (atan2 1 (+ (fma (/ -1 N) (/ -1 N) (/ -1 N)) 1))
4.332 * [backup-simplify]: Simplify 0 into 0
4.332 * [backup-simplify]: Simplify 0 into 0
4.332 * [backup-simplify]: Simplify 0 into 0
4.332 * [backup-simplify]: Simplify 0 into 0
4.332 * [backup-simplify]: Simplify 0 into 0
4.332 * [backup-simplify]: Simplify 0 into 0
4.332 * [backup-simplify]: Simplify (atan2 1 (+ (fma (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N))) (/ -1 (/ 1 (- N)))) 1)) into (atan2 1 (+ (fma N N N) 1))
4.332 * * * [progress]: simplifying candidates
4.332 * * * * [progress]: [ 1 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (log1p (expm1 (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.332 * * * * [progress]: [ 2 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (expm1 (log1p (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.332 * * * * [progress]: [ 3 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (pow (atan2 1 (+ 1 (fma N N N))) 1/2)))>
4.332 * * * * [progress]: [ 4 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (pow (sqrt (atan2 1 (+ 1 (fma N N N)))) 1)))>
4.332 * * * * [progress]: [ 5 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (exp (log (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.332 * * * * [progress]: [ 6 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (log (exp (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.332 * * * * [progress]: [ 7 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.332 * * * * [progress]: [ 8 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.332 * * * * [progress]: [ 9 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))))))>
4.332 * * * * [progress]: [ 10 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.333 * * * * [progress]: [ 11 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt 1) (sqrt (atan2 1 (+ 1 (fma N N N)))))))>
4.333 * * * * [progress]: [ 12 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (pow (atan2 1 (+ 1 (fma N N N))) (/ 1 2))))>
4.333 * * * * [progress]: [ 13 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.333 * * * * [progress]: [ 14 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (fabs (sqrt (atan2 1 (+ 1 (fma N N N)))))))>
4.333 * * * * [progress]: [ 15 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* 1 (sqrt (atan2 1 (+ 1 (fma N N N)))))))>
4.333 * * * * [progress]: [ 16 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (posit16->real (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.333 * * * * [progress]: [ 17 / 106 ] simplifiying candidate #<alt (λ (N) (* (log1p (expm1 (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N))))))>
4.333 * * * * [progress]: [ 18 / 106 ] simplifiying candidate #<alt (λ (N) (* (expm1 (log1p (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N))))))>
4.333 * * * * [progress]: [ 19 / 106 ] simplifiying candidate #<alt (λ (N) (* (pow (atan2 1 (+ 1 (fma N N N))) 1/2) (sqrt (atan2 1 (+ 1 (fma N N N))))))>
4.333 * * * * [progress]: [ 20 / 106 ] simplifiying candidate #<alt (λ (N) (* (pow (sqrt (atan2 1 (+ 1 (fma N N N)))) 1) (sqrt (atan2 1 (+ 1 (fma N N N))))))>
4.333 * * * * [progress]: [ 21 / 106 ] simplifiying candidate #<alt (λ (N) (* (exp (log (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N))))))>
4.333 * * * * [progress]: [ 22 / 106 ] simplifiying candidate #<alt (λ (N) (* (log (exp (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N))))))>
4.333 * * * * [progress]: [ 23 / 106 ] simplifiying candidate #<alt (λ (N) (* (* (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N))))))>
4.333 * * * * [progress]: [ 24 / 106 ] simplifiying candidate #<alt (λ (N) (* (cbrt (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N))))))>
4.333 * * * * [progress]: [ 25 / 106 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (cbrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N))))))>
4.333 * * * * [progress]: [ 26 / 106 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N))))))>
4.333 * * * * [progress]: [ 27 / 106 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt 1) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))))>
4.333 * * * * [progress]: [ 28 / 106 ] simplifiying candidate #<alt (λ (N) (* (pow (atan2 1 (+ 1 (fma N N N))) (/ 1 2)) (sqrt (atan2 1 (+ 1 (fma N N N))))))>
4.333 * * * * [progress]: [ 29 / 106 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N))))))>
4.333 * * * * [progress]: [ 30 / 106 ] simplifiying candidate #<alt (λ (N) (* (fabs (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))))>
4.333 * * * * [progress]: [ 31 / 106 ] simplifiying candidate #<alt (λ (N) (* (* 1 (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))))>
4.333 * * * * [progress]: [ 32 / 106 ] simplifiying candidate #<alt (λ (N) (* (posit16->real (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (atan2 1 (+ 1 (fma N N N))))))>
4.333 * * * * [progress]: [ 33 / 106 ] simplifiying candidate #<alt (λ (N) (log1p (expm1 (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.333 * * * * [progress]: [ 34 / 106 ] simplifiying candidate #<alt (λ (N) (expm1 (log1p (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.333 * * * * [progress]: [ 35 / 106 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (fma N N N))) (+ 1/2 1/2)))>
4.333 * * * * [progress]: [ 36 / 106 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (fma N N N))) (+ 1/2 (/ 1 2))))>
4.333 * * * * [progress]: [ 37 / 106 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (fma N N N)))) (+ 1 1)))>
4.334 * * * * [progress]: [ 38 / 106 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (fma N N N))) (+ (/ 1 2) 1/2)))>
4.334 * * * * [progress]: [ 39 / 106 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (fma N N N))) (+ (/ 1 2) (/ 1 2))))>
4.334 * * * * [progress]: [ 40 / 106 ] simplifiying candidate #<alt (λ (N) (pow (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) 1/2))>
4.334 * * * * [progress]: [ 41 / 106 ] simplifiying candidate #<alt (λ (N) (pow (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) 1))>
4.334 * * * * [progress]: [ 42 / 106 ] simplifiying candidate #<alt (λ (N) (pow (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) (/ 1 2)))>
4.334 * * * * [progress]: [ 43 / 106 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (fma N N N)))) 2))>
4.334 * * * * [progress]: [ 44 / 106 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (fma N N N)))) (+ 1 1)))>
4.334 * * * * [progress]: [ 45 / 106 ] simplifiying candidate #<alt (λ (N) (pow (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) 1))>
4.334 * * * * [progress]: [ 46 / 106 ] simplifiying candidate #<alt (λ (N) (exp (+ (log (sqrt (atan2 1 (+ 1 (fma N N N))))) (log (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.334 * * * * [progress]: [ 47 / 106 ] simplifiying candidate #<alt (λ (N) (exp (log (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.334 * * * * [progress]: [ 48 / 106 ] simplifiying candidate #<alt (λ (N) (log (exp (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.334 * * * * [progress]: [ 49 / 106 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.334 * * * * [progress]: [ 50 / 106 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (cbrt (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))))) (cbrt (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.334 * * * * [progress]: [ 51 / 106 ] simplifiying candidate #<alt (λ (N) (cbrt (* (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.334 * * * * [progress]: [ 52 / 106 ] simplifiying candidate #<alt (λ (N) (sqrt (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))))))>
4.334 * * * * [progress]: [ 53 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.334 * * * * [progress]: [ 54 / 106 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ 1 (fma N N N))))>
4.334 * * * * [progress]: [ 55 / 106 ] simplifiying candidate #<alt (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))))>
4.334 * * * * [progress]: [ 56 / 106 ] simplifiying candidate #<alt (λ (N) (* (* (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.334 * * * * [progress]: [ 57 / 106 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))))) (* (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))))))>
4.334 * * * * [progress]: [ 58 / 106 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.334 * * * * [progress]: [ 59 / 106 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.334 * * * * [progress]: [ 60 / 106 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt 1) (sqrt 1)) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))))>
4.334 * * * * [progress]: [ 61 / 106 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.334 * * * * [progress]: [ 62 / 106 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.334 * * * * [progress]: [ 63 / 106 ] simplifiying candidate #<alt (λ (N) (* (* 1 1) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))))>
4.335 * * * * [progress]: [ 64 / 106 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.335 * * * * [progress]: [ 65 / 106 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.335 * * * * [progress]: [ 66 / 106 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.335 * * * * [progress]: [ 67 / 106 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.335 * * * * [progress]: [ 68 / 106 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (fma N N N))) (* 2 1/2)))>
4.335 * * * * [progress]: [ 69 / 106 ] simplifiying candidate #<alt (λ (N) (pow (sqrt (atan2 1 (+ 1 (fma N N N)))) (* 2 1)))>
4.335 * * * * [progress]: [ 70 / 106 ] simplifiying candidate #<alt (λ (N) (pow (atan2 1 (+ 1 (fma N N N))) (* 2 (/ 1 2))))>
4.335 * * * * [progress]: [ 71 / 106 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))))>
4.335 * * * * [progress]: [ 72 / 106 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))))) (sqrt (cbrt (atan2 1 (+ 1 (fma N N N)))))))>
4.335 * * * * [progress]: [ 73 / 106 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))))>
4.335 * * * * [progress]: [ 74 / 106 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt 1)) (sqrt (atan2 1 (+ 1 (fma N N N))))))>
4.335 * * * * [progress]: [ 75 / 106 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))))>
4.335 * * * * [progress]: [ 76 / 106 ] simplifiying candidate #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) 1) (sqrt (atan2 1 (+ 1 (fma N N N))))))>
4.335 * * * * [progress]: [ 77 / 106 ] simplifiying candidate #<alt (λ (N) (* (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N)))))))>
4.335 * * * * [progress]: [ 78 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N)))))) (* (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N)))))))>
4.335 * * * * [progress]: [ 79 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N)))))))>
4.335 * * * * [progress]: [ 80 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt 1) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))))>
4.335 * * * * [progress]: [ 81 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N)))))))>
4.335 * * * * [progress]: [ 82 / 106 ] simplifiying candidate #<alt (λ (N) (* 1 (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))))>
4.335 * * * * [progress]: [ 83 / 106 ] simplifiying candidate #<alt (λ (N) (posit16->real (real->posit16 (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.335 * * * * [progress]: [ 84 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))))>
4.335 * * * * [progress]: [ 85 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (log1p (expm1 (atan2 1 (+ 1 (fma N N N))))))))>
4.335 * * * * [progress]: [ 86 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (expm1 (log1p (atan2 1 (+ 1 (fma N N N))))))))>
4.335 * * * * [progress]: [ 87 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (pow (atan2 1 (+ 1 (fma N N N))) 1))))>
4.335 * * * * [progress]: [ 88 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (exp (log (atan2 1 (+ 1 (fma N N N))))))))>
4.335 * * * * [progress]: [ 89 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (log (exp (atan2 1 (+ 1 (fma N N N))))))))>
4.335 * * * * [progress]: [ 90 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (* (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (atan2 1 (+ 1 (fma N N N))))))))>
4.336 * * * * [progress]: [ 91 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (cbrt (* (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ 1 (fma N N N))))))))>
4.336 * * * * [progress]: [ 92 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))))))>
4.336 * * * * [progress]: [ 93 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (* 1 (atan2 1 (+ 1 (fma N N N)))))))>
4.336 * * * * [progress]: [ 94 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (posit16->real (real->posit16 (atan2 1 (+ 1 (fma N N N))))))))>
4.336 * * * * [progress]: [ 95 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ (fma N N N) 1)))))>
4.336 * * * * [progress]: [ 96 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ (fma N N N) 1)))))>
4.336 * * * * [progress]: [ 97 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ (fma N N N) 1)))))>
4.336 * * * * [progress]: [ 98 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ 1 (fma N N N))))))>
4.336 * * * * [progress]: [ 99 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ 1 (fma N N N))))))>
4.336 * * * * [progress]: [ 100 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ (fma N N N) 1))) (sqrt (atan2 1 (+ 1 (fma N N N))))))>
4.336 * * * * [progress]: [ 101 / 106 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))>
4.336 * * * * [progress]: [ 102 / 106 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))>
4.336 * * * * [progress]: [ 103 / 106 ] simplifiying candidate #<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))>
4.336 * * * * [progress]: [ 104 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ (fma N N N) 1)))))>
4.336 * * * * [progress]: [ 105 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ (fma N N N) 1)))))>
4.336 * * * * [progress]: [ 106 / 106 ] simplifiying candidate #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ (fma N N N) 1)))))>
4.337 * [simplify]: Simplifying (expm1 (sqrt (atan2 1 (+ 1 (fma N N N))))), (log1p (sqrt (atan2 1 (+ 1 (fma N N N))))), (log (sqrt (atan2 1 (+ 1 (fma N N N))))), (exp (sqrt (atan2 1 (+ 1 (fma N N N))))), (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))), (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))), (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))), (sqrt (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N)))))), (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))), (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))), (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))), (sqrt 1), (sqrt (atan2 1 (+ 1 (fma N N N)))), (/ 1 2), (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))), (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))), (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))), (expm1 (sqrt (atan2 1 (+ 1 (fma N N N))))), (log1p (sqrt (atan2 1 (+ 1 (fma N N N))))), (log (sqrt (atan2 1 (+ 1 (fma N N N))))), (exp (sqrt 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N N N)))))) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))), (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))), (sqrt (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))), (sqrt (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))), (* (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))))), (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))), (* (sqrt (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))))), (* (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (cbrt (atan2 1 (+ 1 (fma N N N)))))), (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))), (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))), (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))), (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))), (* (sqrt 1) (sqrt 1)), (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))), (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))), (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))), (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))), (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))), (* 1 1), (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))), (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))), (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))), (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))), (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))), (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))), (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))), (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))), (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))), (* 2 1/2), (* 2 1), (* 2 (/ 1 2)), (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))))), (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))))), (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))), (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt 1)), (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))), (* (sqrt (atan2 1 (+ 1 (fma N N N)))) 1), (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))), (* (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))), (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))), (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))), (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))), (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))), (real->posit16 (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))), (expm1 (atan2 1 (+ 1 (fma N N N)))), (log1p (atan2 1 (+ 1 (fma N N N)))), (log (atan2 1 (+ 1 (fma N N N)))), (exp (atan2 1 (+ 1 (fma N N N)))), (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))), (cbrt (atan2 1 (+ 1 (fma N N N)))), (* (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))) (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (real->posit16 (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ (fma N N N) 1))), (sqrt (atan2 1 (+ (fma N N N) 1))), (sqrt (atan2 1 (+ (fma N N N) 1))), (sqrt (atan2 1 (+ (fma N N N) 1))), (sqrt (atan2 1 (+ (fma N N N) 1))), (sqrt (atan2 1 (+ (fma N N N) 1))), (atan2 1 (+ (fma N N N) 1)), (atan2 1 (+ (fma N N N) 1)), (atan2 1 (+ (fma N N N) 1)), (atan2 1 (+ (fma N N N) 1)), (atan2 1 (+ (fma N N N) 1)), (atan2 1 (+ (fma N N N) 1))
4.338 * * [simplify]: iteration 1: (68 enodes)
4.363 * * [simplify]: iteration 2: (206 enodes)
4.404 * * [simplify]: iteration 3: (285 enodes)
4.737 * * [simplify]: iteration 4: (493 enodes)
4.879 * * [simplify]: iteration 5: (930 enodes)
6.022 * * [simplify]: Extracting #0: cost 30 inf + 0
6.023 * * [simplify]: Extracting #1: cost 233 inf + 3
6.026 * * [simplify]: Extracting #2: cost 742 inf + 12
6.030 * * [simplify]: Extracting #3: cost 758 inf + 118
6.035 * * [simplify]: Extracting #4: cost 749 inf + 511
6.041 * * [simplify]: Extracting #5: cost 711 inf + 13585
6.062 * * [simplify]: Extracting #6: cost 481 inf + 141586
6.140 * * [simplify]: Extracting #7: cost 49 inf + 456358
6.231 * * [simplify]: Extracting #8: cost 0 inf + 492738
6.319 * [simplify]: Simplified to (expm1 (sqrt (atan2 1 (+ 1 (fma N N N))))), (log1p (sqrt (atan2 1 (+ 1 (fma N N N))))), (log (sqrt (atan2 1 (+ 1 (fma N N N))))), (exp (sqrt (atan2 1 (+ 1 (fma N N N))))), (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))), (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))), (* (atan2 1 (+ 1 (fma N N N))) (sqrt (atan2 1 (+ 1 (fma N N N))))), (fabs (cbrt (atan2 1 (+ 1 (fma N N N))))), (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))), (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))), (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))), 1, (sqrt (atan2 1 (+ 1 (fma N N N)))), 1/2, (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))), (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))), (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))), (expm1 (sqrt (atan2 1 (+ 1 (fma N N N))))), (log1p (sqrt (atan2 1 (+ 1 (fma N N N))))), (log (sqrt (atan2 1 (+ 1 (fma N N N))))), (exp (sqrt (atan2 1 (+ 1 (fma N N N))))), (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))), (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))), (* (atan2 1 (+ 1 (fma N N N))) (sqrt (atan2 1 (+ 1 (fma N N N))))), (fabs (cbrt (atan2 1 (+ 1 (fma N N N))))), (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))), (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))), (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))), 1, (sqrt (atan2 1 (+ 1 (fma N N N)))), 1/2, (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))), (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))), (real->posit16 (sqrt (atan2 1 (+ 1 (fma N N N))))), (expm1 (atan2 1 (+ 1 (fma N N N)))), (log1p (atan2 1 (+ 1 (fma N N N)))), 1, 1, 2, 1, 1, (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))), (atan2 1 (+ 1 (fma N N N))), (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))), 2, (log (atan2 1 (+ 1 (fma N N N)))), (log (atan2 1 (+ 1 (fma N N N)))), (exp (atan2 1 (+ 1 (fma N N N)))), (* (atan2 1 (+ 1 (fma N N N))) (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))))), (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))), (cbrt (atan2 1 (+ 1 (fma N N N)))), (* (atan2 1 (+ 1 (fma N N N))) (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))))), (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))), (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N)))))), (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))), (cbrt (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), 1, (atan2 1 (+ 1 (fma N N N))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), 1, (atan2 1 (+ 1 (fma N N N))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), 1, 2, 1, (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))))), (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (fabs (cbrt (atan2 1 (+ 1 (fma N N N)))))), (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (* (cbrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))), (* (sqrt (cbrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (atan2 1 (+ 1 (fma N N N))))), (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))), (atan2 1 (+ 1 (fma N N N))), (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N)))))), (atan2 1 (+ 1 (fma N N N))), (real->posit16 (atan2 1 (+ 1 (fma N N N)))), (expm1 (atan2 1 (+ 1 (fma N N N)))), (log1p (atan2 1 (+ 1 (fma N N N)))), (log (atan2 1 (+ 1 (fma N N N)))), (exp (atan2 1 (+ 1 (fma N N N)))), (* (cbrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (atan2 1 (+ 1 (fma N N N))))), (cbrt (atan2 1 (+ 1 (fma N N N)))), (* (atan2 1 (+ 1 (fma N N N))) (* (atan2 1 (+ 1 (fma N N N))) (atan2 1 (+ 1 (fma N N N))))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (real->posit16 (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (sqrt (atan2 1 (+ 1 (fma N N N)))), (atan2 1 (+ 1 (fma N N N))), (atan2 1 (+ 1 (fma N N N))), (atan2 1 (+ 1 (fma N N N))), (atan2 1 (+ 1 (fma N N N))), (atan2 1 (+ 1 (fma N N N))), (atan2 1 (+ 1 (fma N N N)))
6.324 * * * [progress]: adding candidates to table
6.972 * [progress]: [Phase 3 of 3] Extracting.
6.972 * * [regime]: Finding splitpoints for: (#<alt (λ (N) (atan2 1 (+ (fma N N 1) N)))> #<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))> #<alt (λ (N) (* (* (cbrt (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (cbrt (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))))) (cbrt (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))))> #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (fabs (cbrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (cbrt (atan2 1 (+ 1 (fma N N N)))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (* (atan2 1 (+ 1 (fma N N N))) (sqrt (atan2 1 (+ 1 (fma N N N))))))))>)
6.973 * * * [regime-changes]: Trying 1 branch expressions: (N)
6.973 * * * * [regimes]: Trying to branch on N from (#<alt (λ (N) (atan2 1 (+ (fma N N 1) N)))> #<alt (λ (N) (atan2 1 (+ (fma N N N) 1)))> #<alt (λ (N) (* (* (cbrt (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N)))))) (cbrt (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))))) (cbrt (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (* (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))) (sqrt (sqrt (atan2 1 (+ 1 (fma N N N))))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (sqrt (atan2 1 (+ 1 (fma N N N))))))> #<alt (λ (N) (* (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (fabs (cbrt (atan2 1 (+ 1 (fma N N N)))))) (sqrt (cbrt (atan2 1 (+ 1 (fma N N N)))))))> #<alt (λ (N) (* (sqrt (atan2 1 (+ 1 (fma N N N)))) (cbrt (* (atan2 1 (+ 1 (fma N N N))) (sqrt (atan2 1 (+ 1 (fma N N N))))))))>)
7.006 * * * [regime]: Found split indices: #<option (#s(si 1 255))>
7.006 * [simplify]: Simplifying (atan2 1 (+ (fma N N N) 1))
7.006 * * [simplify]: iteration 1: (5 enodes)
7.006 * * [simplify]: iteration 2: (8 enodes)
7.007 * * [simplify]: Extracting #0: cost 1 inf + 0
7.007 * * [simplify]: Extracting #1: cost 3 inf + 0
7.007 * * [simplify]: Extracting #2: cost 3 inf + 1
7.007 * * [simplify]: Extracting #3: cost 4 inf + 1
7.007 * * [simplify]: Extracting #4: cost 0 inf + 392
7.007 * [simplify]: Simplified to (atan2 1 (+ 1 (fma N N N)))
8.677 * [regime-testing]: Baseline error score: 0.4232741093345864
8.679 * [regime-testing]: Oracle error score: 0.3773721309621097
8.683 * [regime-testing]: End program error score: 0.4232741093345864
8.720 * [regime-testing]: Target error score: 0.4247224106848454