2atan (example 3.5)

Time bar (total: 2.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze1.0ms (0.1%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%8.1%91.9%0%0%0%0
0%0%8.1%91.9%0%0%0%1
50%4.1%4.1%91.9%0%0%0%2
75%6.1%2%91.9%0%0%0%3
87.5%7.1%1%91.9%0%0%0%4
93.8%7.6%0.5%91.9%0%0%0%5
96.9%7.9%0.3%91.9%0%0%0%6
98.4%8%0.1%91.9%0%0%0%7
99.2%8%0.1%91.9%0%0%0%8
99.6%8.1%0%91.9%0%0%0%9
99.8%8.1%0%91.9%0%0%0%10
99.9%8.1%0%91.9%0%0%0%11
100%8.1%0%91.9%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.6s (60.1%)

Memory
13.1MiB live, 1 214.7MiB allocated; 887ms collecting garbage
Samples
1.2s7 155×1valid
137.0ms917×2valid
8.0ms184×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-add!: 377.0ms (33% of total)
ival-atan: 374.0ms (32.7% of total)
adjust: 351.0ms (30.7% of total)
ival-sub!: 41.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

preprocess70.0ms (2.6%)

Memory
-37.4MiB live, 7.2MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01226
11626
21926
33326
47626
532124
6282024
7622324
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.8%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 12 to 12 computations (0% saved)

series2.0ms (0.1%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Counts
6 → 10
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(atan.f64 N)
Outputs
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (- 1 (* -1 N)))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
N
@-inf
((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N 1 (atan N))
0.0ms
N
@inf
((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N 1 (atan N))
0.0ms
N
@0
((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N 1 (atan N))

rewrite58.0ms (2.2%)

Memory
3.7MiB live, 49.2MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031106
03698
114598
092198
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
16 → 49
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(atan.f64 N)
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (- 1 (* -1 N)))))
Outputs
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))) (neg.f64 (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64)))))))
(/.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (*.f64 (atan.f64 N) (atan.f64 N)) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64)))))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64)))))))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)
(*.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))
(*.f64 N (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N))) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64)) N) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(/.f64 (*.f64 N (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (-.f64 N #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (neg.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 N N) (neg.f64 N)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(-.f64 #s(literal 1 binary64) (neg.f64 N))
(-.f64 N (*.f64 (neg.f64 N) (/.f64 #s(literal 1 binary64) N)))
(-.f64 N (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) N)) N))
(-.f64 N #s(literal -1 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(atan.f64 N)
#s(approx (- (atan (+ N 1)) (atan N)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
#s(approx (atan (+ N 1)) (atan.f64 (-.f64 N #s(literal -1 binary64))))
#s(approx (+ N 1) #s(literal 1 binary64))
#s(approx (+ N 1) (-.f64 N #s(literal -1 binary64)))
#s(approx N N)
#s(approx (atan N) (atan.f64 N))
#s(approx (+ N 1) N)
#s(approx (+ N 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (- (atan (+ N 1)) (atan N)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
#s(approx (atan (+ N 1)) (atan.f64 (-.f64 N #s(literal -1 binary64))))

eval6.0ms (0.2%)

Memory
7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 367 to 179 computations (51.2% saved)

prune2.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New40343
Fresh000
Picked101
Done000
Total41344
Accuracy
21.0%
Counts
44 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.0%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
9.8%
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
4.1%
(-.f64 (atan.f64 #s(approx (+ N 1) N)) (atan.f64 N))
Compiler

Compiled 21 to 20 computations (4.8% saved)

series3.0ms (0.1%)

Memory
3.1MiB live, 3.1MiB allocated; 0ms collecting garbage
Counts
13 → 28
Calls
Call 1
Inputs
(-.f64 (atan.f64 #s(approx (+ N 1) N)) (atan.f64 N))
(atan.f64 #s(approx (+ N 1) N))
#s(approx (+ N 1) N)
N
(atan.f64 N)
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(-.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx (- (atan (- N -1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (- N -1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (- 1 (* -1 N)))))
#s(approx (- (atan (- N -1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (- N -1)) #s(hole binary64 (atan (- 1 (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
N
@-inf
((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N (atan N) (- (atan (- N -1)) (atan N)) (atan (- N -1)) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) 1)
1.0ms
N
@inf
((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N (atan N) (- (atan (- N -1)) (atan N)) (atan (- N -1)) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) 1)
0.0ms
N
@0
((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) N (atan N) (- (atan (- N -1)) (atan N)) (atan (- N -1)) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) 1)

rewrite78.0ms (2.9%)

Memory
14.3MiB live, 59.6MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077385
092345
1370337
03079334
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
41 → 154
Calls
Call 1
Inputs
(-.f64 (atan.f64 #s(approx (+ N 1) N)) (atan.f64 N))
(atan.f64 #s(approx (+ N 1) N))
#s(approx (+ N 1) N)
N
(atan.f64 N)
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(-.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx (- (atan (- N -1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (- N -1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ N 1) #s(hole binary64 N))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (- 1 (* -1 N)))))
#s(approx (- (atan (- N -1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (- N -1)) #s(hole binary64 (atan (- 1 (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
Outputs
(atan2.f64 (-.f64 #s(approx (- N -1) N) N) (fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 #s(approx (- N -1) N))) (-.f64 (atan.f64 #s(approx (- N -1) N)) (atan.f64 N)))) (neg.f64 (+.f64 (atan.f64 N) (atan.f64 #s(approx (- N -1) N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 #s(approx (- N -1) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 #s(approx (- N -1) N))) (*.f64 (atan.f64 #s(approx (- N -1) N)) (atan.f64 #s(approx (- N -1) N))))))
(/.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 #s(approx (- N -1) N))) (-.f64 (atan.f64 #s(approx (- N -1) N)) (atan.f64 N))) (+.f64 (atan.f64 N) (atan.f64 #s(approx (- N -1) N))))
(/.f64 (-.f64 (pow.f64 (atan.f64 #s(approx (- N -1) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 #s(approx (- N -1) N))) (*.f64 (atan.f64 #s(approx (- N -1) N)) (atan.f64 #s(approx (- N -1) N)))))
(-.f64 (/.f64 (*.f64 (atan.f64 #s(approx (- N -1) N)) (atan.f64 #s(approx (- N -1) N))) (+.f64 (atan.f64 N) (atan.f64 #s(approx (- N -1) N)))) (/.f64 (*.f64 (atan.f64 N) (atan.f64 N)) (+.f64 (atan.f64 N) (atan.f64 #s(approx (- N -1) N)))))
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(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 N N) (-.f64 N #s(literal -1 binary64)))
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(+.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(+.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N N)))
#s(literal 1 binary64)
#s(approx (- (atan (- N -1)) (atan N)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
#s(approx (atan (+ N 1)) (atan.f64 (-.f64 N #s(literal -1 binary64))))
#s(approx (- N -1) #s(literal 1 binary64))
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64)))
#s(approx N N)
#s(approx (atan N) (atan.f64 N))
#s(approx (- (atan (- N -1)) (atan N)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
#s(approx (atan (+ N 1)) (atan.f64 (-.f64 N #s(literal -1 binary64))))
#s(approx (- N -1) #s(literal 1 binary64))
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64)))
#s(approx (- (atan (- N -1)) (atan N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
#s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- N -1) N)
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64)))
#s(approx (- N -1) N)
#s(approx (- N -1) (-.f64 N #s(literal -1 binary64)))
#s(approx (- (atan (- N -1)) (atan N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (* (- N -1) N) 1) (*.f64 N N))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 N N (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N) N)))
#s(approx (- (atan (- N -1)) (atan N)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
#s(approx (atan (+ N 1)) (atan.f64 (-.f64 N #s(literal -1 binary64))))
#s(approx (- (atan (- N -1)) (atan N)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
#s(approx (atan (+ N 1)) (atan.f64 (-.f64 N #s(literal -1 binary64))))
#s(approx (- (atan (- N -1)) (atan N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))

eval26.0ms (1%)

Memory
-19.5MiB live, 30.4MiB allocated; 10ms collecting garbage
Compiler

Compiled 1 531 to 575 computations (62.4% saved)

prune6.0ms (0.2%)

Memory
10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1795184
Fresh000
Picked303
Done000
Total1825187
Accuracy
99.6%
Counts
187 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.7%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N) (*.f64 (*.f64 N N) N)) #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 N N) (*.f64 N (-.f64 N #s(literal 1 binary64))) (*.f64 N N)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 N N) (*.f64 N (-.f64 N #s(literal 1 binary64))) (*.f64 N N)) #s(literal 2 binary64))))
21.0%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))))
21.0%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
5.4%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
99.6%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
Compiler

Compiled 148 to 118 computations (20.3% saved)

series15.0ms (0.6%)

Memory
18.7MiB live, 18.7MiB allocated; 0ms collecting garbage
Counts
32 → 117
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 N N #s(literal 1 binary64))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))
(*.f64 (fma.f64 N N N) (fma.f64 N N N))
(fma.f64 N N N)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N) (*.f64 (*.f64 N N) N)) #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 N N) (*.f64 N (-.f64 N #s(literal 1 binary64))) (*.f64 N N)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 N N) (*.f64 N (-.f64 N #s(literal 1 binary64))) (*.f64 N N)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N) (*.f64 (*.f64 N N) N)) #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 N N) (*.f64 N (-.f64 N #s(literal 1 binary64))) (*.f64 N N)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 N N) (*.f64 N (-.f64 N #s(literal 1 binary64))) (*.f64 N N)) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N) (*.f64 (*.f64 N N) N)) #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 N N) (*.f64 N (-.f64 N #s(literal 1 binary64))) (*.f64 N N)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N) (*.f64 (*.f64 N N) N))
(*.f64 (*.f64 (*.f64 N N) N) N)
(*.f64 (*.f64 N N) N)
(*.f64 N N)
#s(literal 2 binary64)
(*.f64 (fma.f64 (*.f64 N N) (*.f64 N (-.f64 N #s(literal 1 binary64))) (*.f64 N N)) #s(literal 2 binary64))
(fma.f64 (*.f64 N N) (*.f64 N (-.f64 N #s(literal 1 binary64))) (*.f64 N N))
(*.f64 N (-.f64 N #s(literal 1 binary64)))
(-.f64 N #s(literal 1 binary64))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 1))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (+ 1 N)))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* N N) 1) #s(hole binary64 1))
#s(approx (+ (* N N) 1) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) #s(hole binary64 (atan2 1 (- (/ (pow (+ N (pow N 2)) 2) (- (* N (+ 1 N)) 1)) (/ 1 (- (* N (+ 1 N)) 1))))))
#s(approx (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) #s(hole binary64 1))
#s(approx (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) #s(hole binary64 (+ 1 N)))
#s(approx (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (- (* -3 N) 1))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (- (* N (- (* -5 N) 3)) 1))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (- (* N (- (* N (- (* -8 N) 5)) 3)) 1))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (pow N 2)))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 N)))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 2) (+ 1 (* N (+ 2 N))))))
#s(approx (+ (* N N) N) #s(hole binary64 N))
#s(approx (+ (* N N) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 -1))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (- N 1)))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (- (* N (+ 1 N)) 1)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 -1))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (- (* -1 N) 1)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (- (* N (- (* -2 N) 1)) 1)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (- (* N (- (* N (- (* -3 N) 2)) 1)) 1)))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2))) #s(hole binary64 (atan2 1 (* 1/2 (/ (+ (* 2 (+ (* (pow N 3) (- N 1)) (pow N 2))) (* 2 (+ (pow N 3) (pow N 6)))) (+ (* (pow N 3) (- N 1)) (pow N 2)))))))
#s(approx (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) #s(hole binary64 1))
#s(approx (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) #s(hole binary64 (* 2 (pow N 2))))
#s(approx (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) #s(hole binary64 (* (pow N 2) (+ 2 (* 2 (pow N 2))))))
#s(approx (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) #s(hole binary64 (* (pow N 2) (+ 2 (* (pow N 2) (+ 2 (* 2 (pow N 2))))))))
#s(approx (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) #s(hole binary64 (pow N 3)))
#s(approx (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) #s(hole binary64 (* (pow N 3) (+ 1 (pow N 3)))))
#s(approx (* (* (* N N) N) N) #s(hole binary64 (pow N 4)))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2) #s(hole binary64 (* 2 (pow N 2))))
#s(approx (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2) #s(hole binary64 (* (pow N 2) (+ 2 (* -2 N)))))
#s(approx (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2) #s(hole binary64 (* (pow N 2) (+ 2 (* N (- (* 2 N) 2))))))
#s(approx (+ (* (* N N) (* N (- N 1))) (* N N)) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (* N N) (* N (- N 1))) (* N N)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 N)))))
#s(approx (+ (* (* N N) (* N (- N 1))) (* N N)) #s(hole binary64 (* (pow N 2) (+ 1 (* N (- N 1))))))
#s(approx (* N (- N 1)) #s(hole binary64 (* -1 N)))
#s(approx (* N (- N 1)) #s(hole binary64 (* N (- N 1))))
#s(approx (- N 1) #s(hole binary64 -1))
#s(approx (- N 1) #s(hole binary64 (- N 1)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (pow N 2)))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* N N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 (pow N 2))))))
#s(approx (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) #s(hole binary64 (atan2 1 (- (/ (pow (+ N (pow N 2)) 2) (- (+ N (pow N 2)) 1)) (/ 1 (- (+ N (pow N 2)) 1))))))
#s(approx (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) #s(hole binary64 (pow N 2)))
#s(approx (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (pow N 2)))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) (/ 1 (pow N 4))))))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (pow N 4)))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (+ (* N N) N) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 N)) (/ 1 (pow N 2))))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (- 1 (/ 1 N)) (pow N 2))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (- (+ 1 (/ 2 (pow N 2))) (/ 1 N)) (pow N 2))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (- (+ 1 (/ 2 (pow N 2))) (+ (/ 1 N) (* 3 (/ 1 (pow N 3))))) (pow N 2))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2))) #s(hole binary64 (atan2 1 (* 1/2 (/ (+ (* 2 (+ (pow N 3) (pow N 6))) (* 2 (- (+ (pow N 2) (pow N 4)) (pow N 3)))) (- (+ (pow N 2) (pow N 4)) (pow N 3)))))))
#s(approx (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) #s(hole binary64 (* 2 (pow N 6))))
#s(approx (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) #s(hole binary64 (* (pow N 6) (+ 2 (* 2 (/ 1 (pow N 2)))))))
#s(approx (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) #s(hole binary64 (* (pow N 6) (+ 2 (+ (* 2 (/ 1 (pow N 2))) (/ 2 (pow N 4)))))))
#s(approx (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) #s(hole binary64 (pow N 6)))
#s(approx (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) #s(hole binary64 (* (pow N 6) (+ 1 (/ 1 (pow N 3))))))
#s(approx (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2) #s(hole binary64 (* 2 (pow N 4))))
#s(approx (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2) #s(hole binary64 (* (pow N 4) (- 2 (* 2 (/ 1 N))))))
#s(approx (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2) #s(hole binary64 (* (pow N 4) (- (+ 2 (/ 2 (pow N 2))) (* 2 (/ 1 N))))))
#s(approx (+ (* (* N N) (* N (- N 1))) (* N N)) #s(hole binary64 (pow N 4)))
#s(approx (+ (* (* N N) (* N (- N 1))) (* N N)) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 N)))))
#s(approx (+ (* (* N N) (* N (- N 1))) (* N N)) #s(hole binary64 (* (pow N 4) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))
#s(approx (* N (- N 1)) #s(hole binary64 (pow N 2)))
#s(approx (* N (- N 1)) #s(hole binary64 (* (pow N 2) (- 1 (/ 1 N)))))
#s(approx (- N 1) #s(hole binary64 N))
#s(approx (- N 1) #s(hole binary64 (* N (- 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) #s(hole binary64 (atan2 1 (- (/ (pow (- (pow N 2) (* -1 N)) 2) (- (* N (- 1 (* -1 N))) 1)) (/ 1 (- (* N (- 1 (* -1 N))) 1))))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow N 2))) N)) 1) N))))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- (/ 1 N) 1) N))))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 N))) N))) (pow N 2))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 N))) N))) N))) (pow N 2))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2))) #s(hole binary64 (atan2 1 (* 1/2 (/ (+ (* 2 (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))) (* 2 (- (pow N 6) (* -1 (pow N 3))))) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))))))
#s(approx (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2) #s(hole binary64 (* (pow N 4) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 N))) N))))))
#s(approx (+ (* (* N N) (* N (- N 1))) (* N N)) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))))
#s(approx (- N 1) #s(hole binary64 (* -1 (* N (- (/ 1 N) 1)))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
N
@-inf
((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N) (+ (* (- N -1) N) -1) (/ 1 (+ (* (- N -1) N) -1)) (atan2 (- (- N -1) N) (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2))) (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) (* (* (* N N) N) N) (* (* N N) N) (* N N) 2 (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2) (+ (* (* N N) (* N (- N 1))) (* N N)) (* N (- N 1)) (- N 1))
4.0ms
N
@inf
((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N) (+ (* (- N -1) N) -1) (/ 1 (+ (* (- N -1) N) -1)) (atan2 (- (- N -1) N) (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2))) (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) (* (* (* N N) N) N) (* (* N N) N) (* N N) 2 (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2) (+ (* (* N N) (* N (- N 1))) (* N N)) (* N (- N 1)) (- N 1))
3.0ms
N
@0
((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N) (+ (* (- N -1) N) -1) (/ 1 (+ (* (- N -1) N) -1)) (atan2 (- (- N -1) N) (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2))) (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) (* (* (* N N) N) N) (* (* N N) N) (* N N) 2 (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2) (+ (* (* N N) (* N (- N 1))) (* N N)) (* N (- N 1)) (- N 1))

rewrite205.0ms (7.7%)

Memory
-34.5MiB live, 156.0MiB allocated; 55ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03883263
04472705
121262648
093992571
Stop Event
iter-limit
node-limit
iter-limit
Counts
149 → 496
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 N N #s(literal 1 binary64))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))
(*.f64 (fma.f64 N N N) (fma.f64 N N N))
(fma.f64 N N N)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N) (*.f64 (*.f64 N N) N)) #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 N N) (*.f64 N (-.f64 N #s(literal 1 binary64))) (*.f64 N N)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 N N) (*.f64 N (-.f64 N #s(literal 1 binary64))) (*.f64 N N)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N) (*.f64 (*.f64 N N) N)) #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 N N) (*.f64 N (-.f64 N #s(literal 1 binary64))) (*.f64 N N)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 N N) (*.f64 N (-.f64 N #s(literal 1 binary64))) (*.f64 N N)) #s(literal 2 binary64)))
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N) (*.f64 (*.f64 N N) N)) #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 N N) (*.f64 N (-.f64 N #s(literal 1 binary64))) (*.f64 N N)) #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N) (*.f64 (*.f64 N N) N))
(*.f64 (*.f64 (*.f64 N N) N) N)
(*.f64 (*.f64 N N) N)
(*.f64 N N)
#s(literal 2 binary64)
(*.f64 (fma.f64 (*.f64 N N) (*.f64 N (-.f64 N #s(literal 1 binary64))) (*.f64 N N)) #s(literal 2 binary64))
(fma.f64 (*.f64 N N) (*.f64 N (-.f64 N #s(literal 1 binary64))) (*.f64 N N))
(*.f64 N (-.f64 N #s(literal 1 binary64)))
(-.f64 N #s(literal 1 binary64))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 1))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (+ 1 N)))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* N N) 1) #s(hole binary64 1))
#s(approx (+ (* N N) 1) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) #s(hole binary64 (atan2 1 (- (/ (pow (+ N (pow N 2)) 2) (- (* N (+ 1 N)) 1)) (/ 1 (- (* N (+ 1 N)) 1))))))
#s(approx (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) #s(hole binary64 1))
#s(approx (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) #s(hole binary64 (+ 1 N)))
#s(approx (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (- (* -3 N) 1))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (- (* N (- (* -5 N) 3)) 1))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (- (* N (- (* N (- (* -8 N) 5)) 3)) 1))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (pow N 2)))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 N)))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 2) (+ 1 (* N (+ 2 N))))))
#s(approx (+ (* N N) N) #s(hole binary64 N))
#s(approx (+ (* N N) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 -1))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (- N 1)))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (- (* N (+ 1 N)) 1)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 -1))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (- (* -1 N) 1)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (- (* N (- (* -2 N) 1)) 1)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (- (* N (- (* N (- (* -3 N) 2)) 1)) 1)))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2))) #s(hole binary64 (atan2 1 (* 1/2 (/ (+ (* 2 (+ (* (pow N 3) (- N 1)) (pow N 2))) (* 2 (+ (pow N 3) (pow N 6)))) (+ (* (pow N 3) (- N 1)) (pow N 2)))))))
#s(approx (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) #s(hole binary64 1))
#s(approx (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) #s(hole binary64 (* 2 (pow N 2))))
#s(approx (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) #s(hole binary64 (* (pow N 2) (+ 2 (* 2 (pow N 2))))))
#s(approx (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) #s(hole binary64 (* (pow N 2) (+ 2 (* (pow N 2) (+ 2 (* 2 (pow N 2))))))))
#s(approx (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) #s(hole binary64 (pow N 3)))
#s(approx (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) #s(hole binary64 (* (pow N 3) (+ 1 (pow N 3)))))
#s(approx (* (* (* N N) N) N) #s(hole binary64 (pow N 4)))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2) #s(hole binary64 (* 2 (pow N 2))))
#s(approx (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2) #s(hole binary64 (* (pow N 2) (+ 2 (* -2 N)))))
#s(approx (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2) #s(hole binary64 (* (pow N 2) (+ 2 (* N (- (* 2 N) 2))))))
#s(approx (+ (* (* N N) (* N (- N 1))) (* N N)) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (* N N) (* N (- N 1))) (* N N)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 N)))))
#s(approx (+ (* (* N N) (* N (- N 1))) (* N N)) #s(hole binary64 (* (pow N 2) (+ 1 (* N (- N 1))))))
#s(approx (* N (- N 1)) #s(hole binary64 (* -1 N)))
#s(approx (* N (- N 1)) #s(hole binary64 (* N (- N 1))))
#s(approx (- N 1) #s(hole binary64 -1))
#s(approx (- N 1) #s(hole binary64 (- N 1)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (pow N 2)))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ N (+ (* N N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* N N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 (pow N 2))))))
#s(approx (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) #s(hole binary64 (atan2 1 (- (/ (pow (+ N (pow N 2)) 2) (- (+ N (pow N 2)) 1)) (/ 1 (- (+ N (pow N 2)) 1))))))
#s(approx (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) #s(hole binary64 (pow N 2)))
#s(approx (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (pow N 2)))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) (/ 1 (pow N 4))))))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (pow N 4)))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (+ (* N N) N) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 N)) (/ 1 (pow N 2))))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (- 1 (/ 1 N)) (pow N 2))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (- (+ 1 (/ 2 (pow N 2))) (/ 1 N)) (pow N 2))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (- (+ 1 (/ 2 (pow N 2))) (+ (/ 1 N) (* 3 (/ 1 (pow N 3))))) (pow N 2))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2))) #s(hole binary64 (atan2 1 (* 1/2 (/ (+ (* 2 (+ (pow N 3) (pow N 6))) (* 2 (- (+ (pow N 2) (pow N 4)) (pow N 3)))) (- (+ (pow N 2) (pow N 4)) (pow N 3)))))))
#s(approx (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) #s(hole binary64 (* 2 (pow N 6))))
#s(approx (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) #s(hole binary64 (* (pow N 6) (+ 2 (* 2 (/ 1 (pow N 2)))))))
#s(approx (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) #s(hole binary64 (* (pow N 6) (+ 2 (+ (* 2 (/ 1 (pow N 2))) (/ 2 (pow N 4)))))))
#s(approx (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) #s(hole binary64 (pow N 6)))
#s(approx (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) #s(hole binary64 (* (pow N 6) (+ 1 (/ 1 (pow N 3))))))
#s(approx (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2) #s(hole binary64 (* 2 (pow N 4))))
#s(approx (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2) #s(hole binary64 (* (pow N 4) (- 2 (* 2 (/ 1 N))))))
#s(approx (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2) #s(hole binary64 (* (pow N 4) (- (+ 2 (/ 2 (pow N 2))) (* 2 (/ 1 N))))))
#s(approx (+ (* (* N N) (* N (- N 1))) (* N N)) #s(hole binary64 (pow N 4)))
#s(approx (+ (* (* N N) (* N (- N 1))) (* N N)) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 N)))))
#s(approx (+ (* (* N N) (* N (- N 1))) (* N N)) #s(hole binary64 (* (pow N 4) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))
#s(approx (* N (- N 1)) #s(hole binary64 (pow N 2)))
#s(approx (* N (- N 1)) #s(hole binary64 (* (pow N 2) (- 1 (/ 1 N)))))
#s(approx (- N 1) #s(hole binary64 N))
#s(approx (- N 1) #s(hole binary64 (* N (- 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) #s(hole binary64 (atan2 1 (- (/ (pow (- (pow N 2) (* -1 N)) 2) (- (* N (- 1 (* -1 N))) 1)) (/ 1 (- (* N (- 1 (* -1 N))) 1))))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow N 2))) N)) 1) N))))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- (/ 1 N) 1) N))))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 N))) N))) (pow N 2))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 N))) N))) N))) (pow N 2))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2))) #s(hole binary64 (atan2 1 (* 1/2 (/ (+ (* 2 (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4)))) (* 2 (- (pow N 6) (* -1 (pow N 3))))) (+ (* -1 (pow N 3)) (+ (pow N 2) (pow N 4))))))))
#s(approx (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2) #s(hole binary64 (* (pow N 4) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 N))) N))))))
#s(approx (+ (* (* N N) (* N (- N 1))) (* N N)) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))))
#s(approx (- N 1) #s(hole binary64 (* -1 (* N (- (/ 1 N) 1)))))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)))))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))))
(+.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64))) (neg.f64 (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (neg.f64 (+.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (+.f64 N #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))))
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (*.f64 N N))) (neg.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 N N) N))) (neg.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (fma.f64 N N (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(/.f64 (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (*.f64 N N)) (+.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 N N) N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (fma.f64 N N (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(-.f64 (/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (+.f64 (-.f64 N #s(literal -1 binary64)) N)) (/.f64 (*.f64 N N) (+.f64 (-.f64 N #s(literal -1 binary64)) N)))
(-.f64 (/.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (fma.f64 N N (*.f64 (-.f64 N #s(literal -1 binary64)) N)))) (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (fma.f64 N N (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N (+.f64 #s(literal -1 binary64) N))
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 N N N) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (fma.f64 N N #s(literal 1 binary64)) (*.f64 (*.f64 N N) N)) (fma.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)) (-.f64 (*.f64 N N) (*.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) N) N)) (fma.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (fma.f64 N N N)))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))))) (neg.f64 (-.f64 N (fma.f64 N N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (*.f64 (fma.f64 N N N) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) N (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 N N (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N (fma.f64 N N #s(literal 1 binary64)))))))
(/.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N)) #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 N N) N) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 N N) N) #s(literal 2 binary64)))
(/.f64 (fma.f64 (-.f64 (*.f64 N N) (*.f64 (*.f64 (*.f64 N N) N) N)) #s(literal 2 binary64) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) N) N (*.f64 (*.f64 N N) N)) #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 (*.f64 N N) (*.f64 (*.f64 N N) N))) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 (*.f64 N N) (*.f64 (*.f64 N N) N))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 (*.f64 N N) N) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 N N) N)))
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 N (*.f64 N N)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 N N) (*.f64 (*.f64 (*.f64 N N) N) N)))) (*.f64 #s(literal 2 binary64) (-.f64 N (*.f64 N N))))
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 (*.f64 N N) (*.f64 (*.f64 N N) N))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) N) N (*.f64 (*.f64 N N) N)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 (*.f64 N N) (*.f64 (*.f64 N N) N)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (fma.f64 N N N))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(/.f64 (-.f64 (*.f64 N N) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))) (-.f64 N (fma.f64 N N #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (*.f64 (fma.f64 N N N) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 N N) N (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 N N (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N (fma.f64 N N #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) N) N (*.f64 (*.f64 N N) N)) (-.f64 (fma.f64 (*.f64 (*.f64 N N) N) N (*.f64 N N)) (*.f64 (*.f64 N N) N)))) (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 N N) N) N (*.f64 N N)) (*.f64 (*.f64 N N) N)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(fma.f64 N (pow.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(-.f64 (/.f64 (*.f64 N N) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (*.f64 (fma.f64 N N N) #s(literal 1 binary64))))) (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (*.f64 (fma.f64 N N N) #s(literal 1 binary64))))))
(+.f64 (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 N N (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N (fma.f64 N N #s(literal 1 binary64)))))) (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 N N (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N (fma.f64 N N #s(literal 1 binary64)))))))
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(+.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N N) N) N))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) N) N))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 #s(literal 1 binary64) (*.f64 N N))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N N) N) N)) (-.f64 #s(literal 1 binary64) (*.f64 N N)))
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#s(approx (* N N) (*.f64 N N))
#s(approx (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2) (*.f64 (*.f64 N N) #s(literal 2 binary64)))
#s(approx (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2) (*.f64 (fma.f64 #s(literal -2 binary64) N #s(literal 2 binary64)) (*.f64 N N)))
#s(approx (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2) (*.f64 (fma.f64 (-.f64 (+.f64 N N) #s(literal 2 binary64)) N #s(literal 2 binary64)) (*.f64 N N)))
#s(approx (+ (* (* N N) (* N (- N 1))) (* N N)) (*.f64 N N))
#s(approx (+ (* (* N N) (* N (- N 1))) (* N N)) (*.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (+ (* (* N N) (* N (- N 1))) (* N N)) (*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (* N (- N 1)) (neg.f64 N))
#s(approx (* N (- N 1)) (*.f64 (-.f64 N #s(literal 1 binary64)) N))
#s(approx (- N 1) #s(literal -1 binary64))
#s(approx (- N 1) (-.f64 N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
#s(approx (+ (* (- N -1) N) 1) (*.f64 N N))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))
#s(approx (+ (* (- N -1) N) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 N N)))
#s(approx (- N -1) N)
#s(approx (- N -1) (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)))
#s(approx (+ N (+ (* N N) 1)) (*.f64 N N))
#s(approx (+ N (+ (* N N) 1)) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))
#s(approx (+ N (+ (* N N) 1)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 N N)))
#s(approx (+ (* N N) 1) (*.f64 N N))
#s(approx (+ (* N N) 1) (fma.f64 (*.f64 N N) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)))))
#s(approx (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) (*.f64 N N))
#s(approx (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))
#s(approx (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 N N)))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (*.f64 N N))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 N N)))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N N) N) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) (*.f64 (*.f64 (*.f64 N N) N) N))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (+ (* N N) N) (*.f64 N N))
#s(approx (+ (* N N) N) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))
#s(approx (+ (* (- N -1) N) -1) (*.f64 N N))
#s(approx (+ (* (- N -1) N) -1) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))
#s(approx (+ (* (- N -1) N) -1) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 N N)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 N N)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N)) (*.f64 N N)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 N N) N))) (*.f64 N N)))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2))) (atan2.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) N (fma.f64 N N N)) (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 N N) N) N (*.f64 N N)) (*.f64 (*.f64 N N) N))) (-.f64 (fma.f64 (*.f64 (*.f64 N N) N) N (*.f64 N N)) (*.f64 (*.f64 N N) N)))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (*.f64 N N))
#s(approx (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))
#s(approx (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 N N)))
#s(approx (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) N) N) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 N N)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) N) N)))
#s(approx (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 N N)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 N N) N) N))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) N) N)))
#s(approx (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) N) N))
#s(approx (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) N) N) #s(literal 1 binary64) (*.f64 (*.f64 N N) N)))
#s(approx (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) #s(literal 2 binary64)))
#s(approx (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) N)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 N N)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) N)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (+ (* (* N N) (* N (- N 1))) (* N N)) (*.f64 (*.f64 (*.f64 N N) N) N))
#s(approx (+ (* (* N N) (* N (- N 1))) (* N N)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (+ (* (* N N) (* N (- N 1))) (* N N)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (* N (- N 1)) (*.f64 N N))
#s(approx (* N (- N 1)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 N N)))
#s(approx (- N 1) N)
#s(approx (- N 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))))
#s(approx (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 N N) (neg.f64 N)) (-.f64 (*.f64 N N) (neg.f64 N))) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) N) #s(literal 1 binary64)))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (+ (* (- N -1) N) -1) (*.f64 (*.f64 N N) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N)) #s(literal 1 binary64))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) N)) N)) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) N)) N)) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2))) (atan2.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (neg.f64 N) (*.f64 N N) (fma.f64 (*.f64 (*.f64 N N) N) N (*.f64 N N))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) N) N) (*.f64 (neg.f64 N) (*.f64 N N))))) (fma.f64 (neg.f64 N) (*.f64 N N) (fma.f64 (*.f64 (*.f64 N N) N) N (*.f64 N N)))) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) N)) N)) #s(literal 2 binary64))))
#s(approx (+ (* (* N N) (* N (- N 1))) (* N N)) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)) #s(literal 1 binary64))))
#s(approx (- N 1) (*.f64 (neg.f64 N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))))

eval96.0ms (3.6%)

Memory
35.3MiB live, 124.9MiB allocated; 14ms collecting garbage
Compiler

Compiled 11 945 to 3 484 computations (70.8% saved)

prune25.0ms (0.9%)

Memory
-9.8MiB live, 36.3MiB allocated; 3ms collecting garbage
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New81414828
Fresh000
Picked415
Done000
Total81815833
Accuracy
99.7%
Counts
833 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.4%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) -1) (*.f64 N N)))))
21.0%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (/.f64 #s(approx (* (+ (* N N) N) (+ (* N N) N)) (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) N) N #s(literal 1 binary64)) (*.f64 N N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))))
16.9%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (/.f64 #s(approx (* (+ (* N N) N) (+ (* N N) N)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))))
21.0%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (+.f64 (/.f64 (*.f64 (fma.f64 N N N) (*.f64 N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 N N N) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))))
4.1%
(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
99.5%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
99.6%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
92.2%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64)))
54.4%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))))
95.5%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N)))
8.0%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N)))
92.2%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
54.0%
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2))) (atan2.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) N) N (*.f64 (*.f64 N N) N)) (fma.f64 (*.f64 (*.f64 N N) N) (-.f64 N #s(literal 1 binary64)) (*.f64 N N)))) (fma.f64 (*.f64 (*.f64 N N) N) (-.f64 N #s(literal 1 binary64)) (*.f64 N N))) #s(literal 1/2 binary64))))
54.0%
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2))) (atan2.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (neg.f64 N) (*.f64 N N) (fma.f64 (*.f64 (*.f64 N N) N) N (*.f64 N N))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) N) N) (*.f64 (neg.f64 N) (*.f64 N N))))) (fma.f64 (neg.f64 N) (*.f64 N N) (fma.f64 (*.f64 (*.f64 N N) N) N (*.f64 N N)))) #s(literal 1/2 binary64))))
76.0%
#s(approx (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)))))
Compiler

Compiled 700 to 532 computations (24% saved)

series13.0ms (0.5%)

Memory
16.8MiB live, 16.8MiB allocated; 0ms collecting garbage
Counts
38 → 144
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64))))
(-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64))
(*.f64 (*.f64 N N) N)
(*.f64 N N)
N
#s(literal -1 binary64)
(fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))
(+.f64 (neg.f64 N) #s(literal 1 binary64))
(neg.f64 N)
(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(-.f64 #s(approx (- N -1) N) N)
#s(approx (- N -1) N)
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64)))
(fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) -1) (*.f64 N N)))))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
(-.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) -1) (*.f64 N N))))
(/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))
(*.f64 (fma.f64 N N N) (fma.f64 N N N))
(fma.f64 N N N)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) -1) (*.f64 N N)))
#s(approx (+ (* (- N -1) N) -1) (*.f64 N N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)))))
(+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))
(*.f64 (-.f64 N #s(literal -1 binary64)) N)
#s(literal 3 binary64)
(fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) #s(hole binary64 1))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) #s(hole binary64 (+ 1 N)))
#s(approx (- (* (* N N) N) -1) #s(hole binary64 1))
#s(approx (- (* (* N N) N) -1) #s(hole binary64 (+ 1 (pow N 3))))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx N #s(hole binary64 N))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 1))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (+ 1 (* N (- N 1)))))
#s(approx (+ (neg N) 1) #s(hole binary64 1))
#s(approx (+ (neg N) 1) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (neg N) #s(hole binary64 (* -1 N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) #s(hole binary64 (atan2 1 (- (/ (pow (+ N (pow N 2)) 2) (- (* N (+ 1 N)) 1)) (/ 1 (- (* N (+ 1 N)) 1))))))
#s(approx (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) #s(hole binary64 1))
#s(approx (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) #s(hole binary64 (+ 1 N)))
#s(approx (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (- (* -3 N) 1))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (- (* N (- (* -5 N) 3)) 1))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (- (* N (- (* N (- (* -8 N) 5)) 3)) 1))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (pow N 2)))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 N)))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 2) (+ 1 (* N (+ 2 N))))))
#s(approx (+ (* N N) N) #s(hole binary64 N))
#s(approx (+ (* N N) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 -1))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (- N 1)))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (- (* N (+ 1 N)) 1)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 -1))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (- (* -1 N) 1)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (- (* N (- (* -2 N) 1)) 1)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (- (* N (- (* N (- (* -3 N) 2)) 1)) 1)))
#s(approx (atan2 (- (- N -1) N) (/ (+ (pow (* (- N -1) N) 3) 1) (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (+ 1 N) 3))) (- (+ 1 (* (pow N 2) (pow (+ 1 N) 2))) (* N (+ 1 N)))))))
#s(approx (/ (+ (pow (* (- N -1) N) 3) 1) (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1)))) #s(hole binary64 1))
#s(approx (/ (+ (pow (* (- N -1) N) 3) 1) (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1)))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (pow (* (- N -1) N) 3) 1) (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1)))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (pow (* (- N -1) N) 3) 1) #s(hole binary64 1))
#s(approx (+ (pow (* (- N -1) N) 3) 1) #s(hole binary64 (+ 1 (pow N 3))))
#s(approx (+ (pow (* (- N -1) N) 3) 1) #s(hole binary64 (+ 1 (* (pow N 3) (+ 1 (* 3 N))))))
#s(approx (+ (pow (* (- N -1) N) 3) 1) #s(hole binary64 (+ 1 (* (pow N 3) (+ 1 (* N (+ 3 (* 3 N))))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (pow N 3)))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* 3 N)))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (+ 3 (* 3 N)))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (+ 3 (* N (+ 3 N))))))))
#s(approx (* (- N -1) N) #s(hole binary64 N))
#s(approx (* (- N -1) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) #s(hole binary64 1))
#s(approx (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) #s(hole binary64 (+ 1 (* N (- (* 2 (pow N 2)) 1)))))
#s(approx (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) #s(hole binary64 (+ 1 (* N (- (* (pow N 2) (+ 2 N)) 1)))))
#s(approx (- 1 (* (* (- N -1) N) 1)) #s(hole binary64 1))
#s(approx (- 1 (* (* (- N -1) N) 1)) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (- 1 (* (* (- N -1) N) 1)) #s(hole binary64 (+ 1 (* N (- (* -1 N) 1)))))
#s(approx (* (* (- N -1) N) 1) #s(hole binary64 N))
#s(approx (* (* (- N -1) N) 1) #s(hole binary64 (* N (+ 1 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) #s(hole binary64 N))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (* (* N N) N) -1) #s(hole binary64 (pow N 3)))
#s(approx (- (* (* N N) N) -1) #s(hole binary64 (* (pow N 3) (+ 1 (/ 1 (pow N 3))))))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (* (pow N 2) (- 1 (/ 1 N)))))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))
#s(approx (+ (neg N) 1) #s(hole binary64 (* -1 N)))
#s(approx (+ (neg N) 1) #s(hole binary64 (* N (- (/ 1 N) 1))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) #s(hole binary64 (atan2 1 (- (/ (pow (+ N (pow N 2)) 2) (- (+ N (pow N 2)) 1)) (/ 1 (- (+ N (pow N 2)) 1))))))
#s(approx (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) #s(hole binary64 (pow N 2)))
#s(approx (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (pow N 2)))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) (/ 1 (pow N 4))))))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (pow N 4)))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (+ (* N N) N) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 N)) (/ 1 (pow N 2))))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (- 1 (/ 1 N)) (pow N 2))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (- (+ 1 (/ 2 (pow N 2))) (/ 1 N)) (pow N 2))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (- (+ 1 (/ 2 (pow N 2))) (+ (/ 1 N) (* 3 (/ 1 (pow N 3))))) (pow N 2))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (pow (* (- N -1) N) 3) 1) (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (+ 1 N) 3))) (- (+ 1 (* (pow N 2) (pow (+ 1 N) 2))) (+ N (pow N 2)))))))
#s(approx (/ (+ (pow (* (- N -1) N) 3) 1) (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1)))) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ (pow (* (- N -1) N) 3) 1) (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1)))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (+ (pow (* (- N -1) N) 3) 1) (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1)))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (pow (* (- N -1) N) 3) 1) #s(hole binary64 (pow N 6)))
#s(approx (+ (pow (* (- N -1) N) 3) 1) #s(hole binary64 (* (pow N 6) (+ 1 (* 3 (/ 1 N))))))
#s(approx (+ (pow (* (- N -1) N) 3) 1) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))))
#s(approx (+ (pow (* (- N -1) N) 3) 1) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (pow N 6)))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (* 3 (/ 1 N))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))))
#s(approx (* (- N -1) N) #s(hole binary64 (pow N 2)))
#s(approx (* (- N -1) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) #s(hole binary64 (pow N 4)))
#s(approx (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) #s(hole binary64 (* (pow N 4) (- (+ 1 (* 2 (/ 1 N))) (/ 1 (pow N 3))))))
#s(approx (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 4)))) (/ 1 (pow N 3))))))
#s(approx (- 1 (* (* (- N -1) N) 1)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- 1 (* (* (- N -1) N) 1)) #s(hole binary64 (* -1 (* (pow N 2) (+ 1 (/ 1 N))))))
#s(approx (- 1 (* (* (- N -1) N) 1)) #s(hole binary64 (* (pow N 2) (- (/ 1 (pow N 2)) (+ 1 (/ 1 N))))))
#s(approx (* (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (* (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))))
#s(approx (+ (neg N) 1) #s(hole binary64 (* -1 (* N (- 1 (/ 1 N))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) #s(hole binary64 (atan2 1 (- (/ (pow (- (pow N 2) (* -1 N)) 2) (- (* N (- 1 (* -1 N))) 1)) (/ 1 (- (* N (- 1 (* -1 N))) 1))))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow N 2))) N)) 1) N))))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- (/ 1 N) 1) N))))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 N))) N))) (pow N 2))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 N))) N))) N))) (pow N 2))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (pow (* (- N -1) N) 3) 1) (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (- 1 (* -1 N)) 3))) (- (+ 1 (* (pow N 2) (pow (- 1 (* -1 N)) 2))) (* N (- 1 (* -1 N))))))))
#s(approx (+ (pow (* (- N -1) N) 3) 1) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 N)) N)) 3) N))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 N)) N)) 3) N))))))
#s(approx (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 2) N))))))
#s(approx (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) (+ 2 (/ 1 (pow N 3)))) N))))))
#s(approx (- 1 (* (* (- N -1) N) 1)) #s(hole binary64 (* (pow N 2) (- (* -1 (/ (- 1 (/ 1 N)) N)) 1))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
N
@-inf
((atan2 (- (- N -1) N) (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) (- (- N -1) N) 1 (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) (- (* (* N N) N) -1) (* (* N N) N) (* N N) N -1 (+ (* N N) (+ (neg N) 1)) (+ (neg N) 1) (neg N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (- N -1) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) (- (- N -1) N) (- N -1) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N) (+ (* (- N -1) N) -1) (/ 1 (+ (* (- N -1) N) -1)) (+ (* (- N -1) N) -1) (atan2 (- (- N -1) N) (/ (+ (pow (* (- N -1) N) 3) 1) (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))))) (/ (+ (pow (* (- N -1) N) 3) 1) (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1)))) (+ (pow (* (- N -1) N) 3) 1) (pow (* (- N -1) N) 3) (* (- N -1) N) 3 (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) (- 1 (* (* (- N -1) N) 1)) (* (* (- N -1) N) 1))
4.0ms
N
@inf
((atan2 (- (- N -1) N) (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) (- (- N -1) N) 1 (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) (- (* (* N N) N) -1) (* (* N N) N) (* N N) N -1 (+ (* N N) (+ (neg N) 1)) (+ (neg N) 1) (neg N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (- N -1) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) (- (- N -1) N) (- N -1) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N) (+ (* (- N -1) N) -1) (/ 1 (+ (* (- N -1) N) -1)) (+ (* (- N -1) N) -1) (atan2 (- (- N -1) N) (/ (+ (pow (* (- N -1) N) 3) 1) (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))))) (/ (+ (pow (* (- N -1) N) 3) 1) (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1)))) (+ (pow (* (- N -1) N) 3) 1) (pow (* (- N -1) N) 3) (* (- N -1) N) 3 (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) (- 1 (* (* (- N -1) N) 1)) (* (* (- N -1) N) 1))
2.0ms
N
@0
((atan2 (- (- N -1) N) (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) (- (- N -1) N) 1 (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) (- (* (* N N) N) -1) (* (* N N) N) (* N N) N -1 (+ (* N N) (+ (neg N) 1)) (+ (neg N) 1) (neg N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (- N -1) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) (- (- N -1) N) (- N -1) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N) (+ (* (- N -1) N) -1) (/ 1 (+ (* (- N -1) N) -1)) (+ (* (- N -1) N) -1) (atan2 (- (- N -1) N) (/ (+ (pow (* (- N -1) N) 3) 1) (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))))) (/ (+ (pow (* (- N -1) N) 3) 1) (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1)))) (+ (pow (* (- N -1) N) 3) 1) (pow (* (- N -1) N) 3) (* (- N -1) N) 3 (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) (- 1 (* (* (- N -1) N) 1)) (* (* (- N -1) N) 1))

rewrite154.0ms (5.8%)

Memory
-7.2MiB live, 130.7MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04653698
05252816
125662743
085632708
Stop Event
iter-limit
node-limit
iter-limit
Counts
182 → 503
Calls
Call 1
Inputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64))))
(-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64))
(*.f64 (*.f64 N N) N)
(*.f64 N N)
N
#s(literal -1 binary64)
(fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))
(+.f64 (neg.f64 N) #s(literal 1 binary64))
(neg.f64 N)
(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(-.f64 #s(approx (- N -1) N) N)
#s(approx (- N -1) N)
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64)))
(fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) -1) (*.f64 N N)))))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
(-.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) -1) (*.f64 N N))))
(/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))
(*.f64 (fma.f64 N N N) (fma.f64 N N N))
(fma.f64 N N N)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) -1) (*.f64 N N)))
#s(approx (+ (* (- N -1) N) -1) (*.f64 N N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)))))
(+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))
(*.f64 (-.f64 N #s(literal -1 binary64)) N)
#s(literal 3 binary64)
(fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))))
#s(approx (- (- N -1) N) #s(hole binary64 1))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) #s(hole binary64 1))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) #s(hole binary64 (+ 1 N)))
#s(approx (- (* (* N N) N) -1) #s(hole binary64 1))
#s(approx (- (* (* N N) N) -1) #s(hole binary64 (+ 1 (pow N 3))))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx N #s(hole binary64 N))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 1))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (+ 1 (* N (- N 1)))))
#s(approx (+ (neg N) 1) #s(hole binary64 1))
#s(approx (+ (neg N) 1) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (neg N) #s(hole binary64 (* -1 N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (- N -1) #s(hole binary64 1))
#s(approx (- N -1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) #s(hole binary64 (atan2 1 (- (/ (pow (+ N (pow N 2)) 2) (- (* N (+ 1 N)) 1)) (/ 1 (- (* N (+ 1 N)) 1))))))
#s(approx (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) #s(hole binary64 1))
#s(approx (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) #s(hole binary64 (+ 1 N)))
#s(approx (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (- (* -3 N) 1))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (- (* N (- (* -5 N) 3)) 1))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (- (* N (- (* N (- (* -8 N) 5)) 3)) 1))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (pow N 2)))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 N)))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 2) (+ 1 (* N (+ 2 N))))))
#s(approx (+ (* N N) N) #s(hole binary64 N))
#s(approx (+ (* N N) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 -1))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (- N 1)))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (- (* N (+ 1 N)) 1)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 -1))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (- (* -1 N) 1)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (- (* N (- (* -2 N) 1)) 1)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (- (* N (- (* N (- (* -3 N) 2)) 1)) 1)))
#s(approx (atan2 (- (- N -1) N) (/ (+ (pow (* (- N -1) N) 3) 1) (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (+ 1 N) 3))) (- (+ 1 (* (pow N 2) (pow (+ 1 N) 2))) (* N (+ 1 N)))))))
#s(approx (/ (+ (pow (* (- N -1) N) 3) 1) (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1)))) #s(hole binary64 1))
#s(approx (/ (+ (pow (* (- N -1) N) 3) 1) (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1)))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (pow (* (- N -1) N) 3) 1) (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1)))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (pow (* (- N -1) N) 3) 1) #s(hole binary64 1))
#s(approx (+ (pow (* (- N -1) N) 3) 1) #s(hole binary64 (+ 1 (pow N 3))))
#s(approx (+ (pow (* (- N -1) N) 3) 1) #s(hole binary64 (+ 1 (* (pow N 3) (+ 1 (* 3 N))))))
#s(approx (+ (pow (* (- N -1) N) 3) 1) #s(hole binary64 (+ 1 (* (pow N 3) (+ 1 (* N (+ 3 (* 3 N))))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (pow N 3)))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* 3 N)))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (+ 3 (* 3 N)))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 3) (+ 1 (* N (+ 3 (* N (+ 3 N))))))))
#s(approx (* (- N -1) N) #s(hole binary64 N))
#s(approx (* (- N -1) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) #s(hole binary64 1))
#s(approx (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) #s(hole binary64 (+ 1 (* N (- (* 2 (pow N 2)) 1)))))
#s(approx (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) #s(hole binary64 (+ 1 (* N (- (* (pow N 2) (+ 2 N)) 1)))))
#s(approx (- 1 (* (* (- N -1) N) 1)) #s(hole binary64 1))
#s(approx (- 1 (* (* (- N -1) N) 1)) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (- 1 (* (* (- N -1) N) 1)) #s(hole binary64 (+ 1 (* N (- (* -1 N) 1)))))
#s(approx (* (* (- N -1) N) 1) #s(hole binary64 N))
#s(approx (* (* (- N -1) N) 1) #s(hole binary64 (* N (+ 1 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) #s(hole binary64 N))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (* (* N N) N) -1) #s(hole binary64 (pow N 3)))
#s(approx (- (* (* N N) N) -1) #s(hole binary64 (* (pow N 3) (+ 1 (/ 1 (pow N 3))))))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (* (pow N 2) (- 1 (/ 1 N)))))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))
#s(approx (+ (neg N) 1) #s(hole binary64 (* -1 N)))
#s(approx (+ (neg N) 1) #s(hole binary64 (* N (- (/ 1 N) 1))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (- N -1) #s(hole binary64 N))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) #s(hole binary64 (atan2 1 (- (/ (pow (+ N (pow N 2)) 2) (- (+ N (pow N 2)) 1)) (/ 1 (- (+ N (pow N 2)) 1))))))
#s(approx (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) #s(hole binary64 (pow N 2)))
#s(approx (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (pow N 2)))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) (/ 1 (pow N 4))))))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (pow N 4)))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (+ (* N N) N) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 N)) (/ 1 (pow N 2))))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (- 1 (/ 1 N)) (pow N 2))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (- (+ 1 (/ 2 (pow N 2))) (/ 1 N)) (pow N 2))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (- (+ 1 (/ 2 (pow N 2))) (+ (/ 1 N) (* 3 (/ 1 (pow N 3))))) (pow N 2))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (pow (* (- N -1) N) 3) 1) (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (+ 1 N) 3))) (- (+ 1 (* (pow N 2) (pow (+ 1 N) 2))) (+ N (pow N 2)))))))
#s(approx (/ (+ (pow (* (- N -1) N) 3) 1) (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1)))) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ (pow (* (- N -1) N) 3) 1) (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1)))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (+ (pow (* (- N -1) N) 3) 1) (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1)))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (pow (* (- N -1) N) 3) 1) #s(hole binary64 (pow N 6)))
#s(approx (+ (pow (* (- N -1) N) 3) 1) #s(hole binary64 (* (pow N 6) (+ 1 (* 3 (/ 1 N))))))
#s(approx (+ (pow (* (- N -1) N) 3) 1) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))))
#s(approx (+ (pow (* (- N -1) N) 3) 1) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (pow N 6)))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (* 3 (/ 1 N))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (/ 3 (pow N 2)))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (+ (* 3 (/ 1 N)) (+ (/ 1 (pow N 3)) (/ 3 (pow N 2))))))))
#s(approx (* (- N -1) N) #s(hole binary64 (pow N 2)))
#s(approx (* (- N -1) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) #s(hole binary64 (pow N 4)))
#s(approx (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) #s(hole binary64 (* (pow N 4) (- (+ 1 (* 2 (/ 1 N))) (/ 1 (pow N 3))))))
#s(approx (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 4)))) (/ 1 (pow N 3))))))
#s(approx (- 1 (* (* (- N -1) N) 1)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- 1 (* (* (- N -1) N) 1)) #s(hole binary64 (* -1 (* (pow N 2) (+ 1 (/ 1 N))))))
#s(approx (- 1 (* (* (- N -1) N) 1)) #s(hole binary64 (* (pow N 2) (- (/ 1 (pow N 2)) (+ 1 (/ 1 N))))))
#s(approx (* (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (* (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))))
#s(approx (+ (neg N) 1) #s(hole binary64 (* -1 (* N (- 1 (/ 1 N))))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) #s(hole binary64 (atan2 1 (- (/ (pow (- (pow N 2) (* -1 N)) 2) (- (* N (- 1 (* -1 N))) 1)) (/ 1 (- (* N (- 1 (* -1 N))) 1))))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow N 2))) N)) 1) N))))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- (/ 1 N) 1) N))))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 N))) N))) (pow N 2))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 N))) N))) N))) (pow N 2))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (pow (* (- N -1) N) 3) 1) (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))))) #s(hole binary64 (atan2 1 (/ (+ 1 (* (pow N 3) (pow (- 1 (* -1 N)) 3))) (- (+ 1 (* (pow N 2) (pow (- 1 (* -1 N)) 2))) (* N (- 1 (* -1 N))))))))
#s(approx (+ (pow (* (- N -1) N) 3) 1) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 N)) N)) 3) N))))))
#s(approx (pow (* (- N -1) N) 3) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 N)) N)) 3) N))))))
#s(approx (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 2) N))))))
#s(approx (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) (+ 2 (/ 1 (pow N 3)))) N))))))
#s(approx (- 1 (* (* (- N -1) N) 1)) #s(hole binary64 (* (pow N 2) (- (* -1 (/ (- 1 (/ 1 N)) N)) 1))))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (*.f64 (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))) (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) N) #s(literal 2 binary64) (*.f64 (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) N))) (*.f64 #s(literal 2 binary64) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(+.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (neg.f64 (+.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) N) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) (*.f64 (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64))) #s(literal -1 binary64))) (*.f64 (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64))) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (+.f64 N #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64))) (neg.f64 (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))))
(-.f64 N #s(literal -1 binary64))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 N) #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 N N) N #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (neg.f64 N))))))
(/.f64 (expm1.f64 (*.f64 (log.f64 N) #s(literal 6 binary64))) (fma.f64 (*.f64 N N) N #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 N #s(literal 9 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (neg.f64 N)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N)) (fma.f64 (*.f64 N N) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 N N) N #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 N #s(literal 9 binary64)) (fma.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (neg.f64 N))))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (neg.f64 N))))))
(-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64))
(*.f64 (neg.f64 (pow.f64 N #s(literal 3/2 binary64))) (neg.f64 (pow.f64 N #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 N #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 N #s(literal 3/2 binary64))))
(*.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)))
(*.f64 (*.f64 N N) N)
(*.f64 N (*.f64 N N))
(pow.f64 (exp.f64 (log.f64 N)) #s(literal 3 binary64))
(pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (*.f64 N N) N) #s(literal 1 binary64))
(pow.f64 N #s(literal 3 binary64))
(+.f64 (cosh.f64 (*.f64 (log.f64 N) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 N) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 N) #s(literal 3 binary64)))
(*.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)))
(*.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)))
(*.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)))
(*.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)))
(*.f64 (fabs.f64 N) (fabs.f64 N))
(*.f64 (neg.f64 N) (neg.f64 N))
(*.f64 N N)
(pow.f64 (exp.f64 (log.f64 N)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 N) #s(literal 2 binary64))
(pow.f64 (*.f64 N N) #s(literal 1 binary64))
(pow.f64 (neg.f64 N) #s(literal 2 binary64))
(pow.f64 N #s(literal 2 binary64))
(fabs.f64 (*.f64 N N))
(+.f64 (cosh.f64 (*.f64 (log.f64 N) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 N) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64)))
N
#s(literal -1 binary64)
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64)) (+.f64 (neg.f64 N) #s(literal 1 binary64))))) (neg.f64 (-.f64 (*.f64 N N) (+.f64 (neg.f64 N) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N (neg.f64 N)) (fma.f64 N N (neg.f64 N))))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N (neg.f64 N)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N) (*.f64 (*.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64)) (+.f64 (neg.f64 N) #s(literal 1 binary64))) (+.f64 (neg.f64 N) #s(literal 1 binary64))))) (neg.f64 (fma.f64 (*.f64 N N) (*.f64 N N) (-.f64 (*.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64)) (+.f64 (neg.f64 N) #s(literal 1 binary64))) (*.f64 (*.f64 N N) (+.f64 (neg.f64 N) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N (neg.f64 N)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 N N (neg.f64 N)) (fma.f64 N N (neg.f64 N))) (*.f64 #s(literal 1 binary64) (fma.f64 N N (neg.f64 N)))))))
(/.f64 (fma.f64 (-.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N))) #s(literal 2 binary64) (*.f64 (-.f64 (neg.f64 N) (*.f64 N N)) #s(literal 2 binary64))) (*.f64 (-.f64 (neg.f64 N) (*.f64 N N)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 (*.f64 N N) (neg.f64 N) (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N))) #s(literal 2 binary64) (*.f64 (fma.f64 N N (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 (*.f64 N N) (neg.f64 N)))) #s(literal 2 binary64))) (*.f64 (fma.f64 N N (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 (*.f64 N N) (neg.f64 N)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 (neg.f64 N) (*.f64 N N)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N))))) (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 N) (*.f64 N N))))
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 N N (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 (*.f64 N N) (neg.f64 N)))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 N N) (neg.f64 N) (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N))))) (*.f64 #s(literal 2 binary64) (fma.f64 N N (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 (*.f64 N N) (neg.f64 N))))))
(/.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64)) (+.f64 (neg.f64 N) #s(literal 1 binary64)))) (-.f64 (*.f64 N N) (+.f64 (neg.f64 N) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N (neg.f64 N)) (fma.f64 N N (neg.f64 N)))) (-.f64 #s(literal 1 binary64) (fma.f64 N N (neg.f64 N))))
(/.f64 (fma.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N) (*.f64 (*.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64)) (+.f64 (neg.f64 N) #s(literal 1 binary64))) (+.f64 (neg.f64 N) #s(literal 1 binary64)))) (fma.f64 (*.f64 N N) (*.f64 N N) (-.f64 (*.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64)) (+.f64 (neg.f64 N) #s(literal 1 binary64))) (*.f64 (*.f64 N N) (+.f64 (neg.f64 N) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N (neg.f64 N)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 N N (neg.f64 N)) (fma.f64 N N (neg.f64 N))) (*.f64 #s(literal 1 binary64) (fma.f64 N N (neg.f64 N))))))
(fma.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)) (+.f64 (neg.f64 N) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)) (+.f64 (neg.f64 N) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)) (+.f64 (neg.f64 N) #s(literal 1 binary64)))
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) (+.f64 (neg.f64 N) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 N) (fabs.f64 N) (+.f64 (neg.f64 N) #s(literal 1 binary64)))
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#s(approx (pow (* (- N -1) N) 3) (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N)))
#s(approx (pow (* (- N -1) N) 3) (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N))))
#s(approx (pow (* (- N -1) N) 3) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 N N)) (/.f64 #s(literal 3 binary64) N)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N))))
#s(approx (pow (* (- N -1) N) 3) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) (/.f64 #s(literal 3 binary64) N)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N))))
#s(approx (* (- N -1) N) (*.f64 N N))
#s(approx (* (- N -1) N) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))
#s(approx (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) (*.f64 (*.f64 N N) (*.f64 N N)))
#s(approx (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 1 binary64)) (*.f64 (*.f64 N N) (*.f64 N N))))
#s(approx (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) N) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))))))
#s(approx (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (*.f64 N N))) (/.f64 #s(literal 2 binary64) N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) (*.f64 (*.f64 N N) (*.f64 N N))))
#s(approx (- 1 (* (* (- N -1) N) 1)) (neg.f64 (*.f64 N N)))
#s(approx (- 1 (* (* (- N -1) N) 1)) (neg.f64 (fma.f64 (*.f64 N N) #s(literal 1 binary64) N)))
#s(approx (- 1 (* (* (- N -1) N) 1)) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N)) (*.f64 N N)))
#s(approx (* (- N -1) N) (*.f64 N N))
#s(approx (* (- N -1) N) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (neg.f64 N))) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) #s(literal 1 binary64))))
#s(approx (+ (* N N) (+ (neg N) 1)) (*.f64 (*.f64 N N) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)) #s(literal 1 binary64))))
#s(approx (+ (neg N) 1) (*.f64 (neg.f64 N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 N N) (neg.f64 N)) (-.f64 (*.f64 N N) (neg.f64 N))) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) N) #s(literal 1 binary64)))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (+ (* (- N -1) N) -1) (*.f64 (*.f64 N N) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N)) #s(literal 1 binary64))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) N)) N)) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) N)) N)) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) N) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) N) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) N) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) N)))))
#s(approx (+ (pow (* (- N -1) N) 3) 1) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) N)) #s(literal 3 binary64)) N)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N))))
#s(approx (pow (* (- N -1) N) 3) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) N)) #s(literal 3 binary64)) N)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N))))
#s(approx (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 2 binary64)) N)) #s(literal 1 binary64)) (*.f64 (*.f64 N N) (*.f64 N N))))
#s(approx (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) N)) #s(literal 1 binary64)) (*.f64 (*.f64 N N) (*.f64 N N))))
#s(approx (- 1 (* (* (- N -1) N) 1)) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)) #s(literal 1 binary64)) (*.f64 N N)))

eval73.0ms (2.8%)

Memory
-7.6MiB live, 88.4MiB allocated; 15ms collecting garbage
Compiler

Compiled 7 042 to 2 592 computations (63.2% saved)

prune27.0ms (1%)

Memory
-7.4MiB live, 39.0MiB allocated; 2ms collecting garbage
Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New51115526
Fresh819
Picked235
Done011
Total52120541
Accuracy
99.7%
Counts
541 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.4%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) -1) (*.f64 N N)))))
19.3%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (/.f64 #s(approx (* (+ (* N N) N) (+ (* N N) N)) (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) N) N #s(literal 1 binary64)) (*.f64 N N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) -1) (*.f64 N N)))))
16.9%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (/.f64 #s(approx (* (+ (* N N) N) (+ (* N N) N)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 1 binary64)) (*.f64 (*.f64 N N) (*.f64 N N)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) -1) (*.f64 N N)))))
4.1%
(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
99.0%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
99.4%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
55.5%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N)) (fma.f64 (*.f64 N N) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 N N) N #s(literal -1 binary64)))) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
95.4%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(approx (+ (* N N) (+ (neg N) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 N N)))) N #s(literal 1 binary64)))
92.2%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(approx (+ (* N N) (+ (neg N) 1)) (*.f64 N N))) N #s(literal 1 binary64)))
92.1%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64))) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
99.6%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
92.2%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64)))
75.8%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) N) #s(literal 2 binary64) (*.f64 (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64))) #s(literal 2 binary64))))
47.2%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) N) (*.f64 #s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) N)) (*.f64 #s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) N) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) N) (*.f64 #s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) N) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) N) #s(literal 1 binary64))))))
68.6%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) N) (*.f64 #s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) N)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) N) #s(literal 1 binary64))))
46.9%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) (*.f64 (*.f64 N N) (*.f64 N N)))))
95.5%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N)))
8.0%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (+.f64 #s(literal 1 binary64) N)))
92.2%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (*.f64 N N)))
54.0%
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2))) (atan2.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) N) N (*.f64 (*.f64 N N) N)) (fma.f64 (*.f64 (*.f64 N N) N) (-.f64 N #s(literal 1 binary64)) (*.f64 N N)))) (fma.f64 (*.f64 (*.f64 N N) N) (-.f64 N #s(literal 1 binary64)) (*.f64 N N))) #s(literal 1/2 binary64))))
Compiler

Compiled 1 081 to 627 computations (42% saved)

regimes19.0ms (0.7%)

Memory
23.4MiB live, 23.4MiB allocated; 0ms collecting garbage
Counts
38 → 1
Calls
Call 1
Inputs
(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(-.f64 (atan.f64 #s(approx (+ N 1) N)) (atan.f64 N))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N)))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(approx (+ (* N N) (+ (neg N) 1)) (*.f64 N N))) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) N) (*.f64 #s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) N)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) N) #s(literal 1 binary64))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) #s(approx (+ (* N N) (+ (neg N) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 N N)))) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx (+ (* (* (- N -1) N) (* (- N -1) N)) (- 1 (* (* (- N -1) N) 1))) (*.f64 (*.f64 N N) (*.f64 N N)))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) -1) (*.f64 N N)))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (/.f64 #s(approx (* (+ (* N N) N) (+ (* N N) N)) (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) N) N #s(literal 1 binary64)) (*.f64 N N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) -1) (*.f64 N N)))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) N) (*.f64 #s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) N)) (*.f64 #s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) N) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) N) (*.f64 #s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) N) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) N) #s(literal 1 binary64))))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (log.f64 N) #s(literal 2 binary64))) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (/.f64 #s(approx (* (+ (* N N) N) (+ (* N N) N)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 1 binary64)) (*.f64 (*.f64 N N) (*.f64 N N)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) -1) (*.f64 N N)))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) N) #s(literal 2 binary64) (*.f64 (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64))) #s(literal 2 binary64))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (/.f64 #s(approx (* (+ (* N N) N) (+ (* N N) N)) (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) N) N #s(literal 1 binary64)) (*.f64 N N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (/.f64 #s(approx (* (+ (* N N) N) (+ (* N N) N)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N)) (fma.f64 (*.f64 N N) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 N N) N #s(literal -1 binary64)))) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (+.f64 (/.f64 (*.f64 (fma.f64 N N N) (*.f64 N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 N N N) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2))) (atan2.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) N) N (*.f64 (*.f64 N N) N)) (fma.f64 (*.f64 (*.f64 N N) N) (-.f64 N #s(literal 1 binary64)) (*.f64 N N)))) (fma.f64 (*.f64 (*.f64 N N) N) (-.f64 N #s(literal 1 binary64)) (*.f64 N N))) #s(literal 1/2 binary64))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N) (*.f64 (*.f64 N N) N)) #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 N N) (*.f64 N (-.f64 N #s(literal 1 binary64))) (*.f64 N N)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 N N) (*.f64 N (-.f64 N #s(literal 1 binary64))) (*.f64 N N)) #s(literal 2 binary64))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (+ (* (* (* (* N N) N) N) (* N N)) (* (* N N) N)) 2) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2)) (* (+ (* (* N N) (* N (- N 1))) (* N N)) 2))) (atan2.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (neg.f64 N) (*.f64 N N) (fma.f64 (*.f64 (*.f64 N N) N) N (*.f64 N N))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) N) N) (*.f64 (neg.f64 N) (*.f64 N N))))) (fma.f64 (neg.f64 N) (*.f64 N N) (fma.f64 (*.f64 (*.f64 N N) N) N (*.f64 N N)))) #s(literal 1/2 binary64))))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
Calls

2 calls:

9.0ms
N
7.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
99.6%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
99.6%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.2%)

Memory
7.7MiB live, 7.7MiB allocated; 0ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(-.f64 (atan.f64 #s(approx (+ N 1) N)) (atan.f64 N))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64)))
Calls

2 calls:

3.0ms
N
2.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
92.2%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
92.2%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (*.f64 N N)))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
Calls

2 calls:

2.0ms
N
1.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
92.2%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
92.2%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes6.0ms (0.2%)

Memory
-41.3MiB live, 5.0MiB allocated; 2ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1) (+.f64 #s(literal 1 binary64) N)))
Outputs
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N)))
Calls

2 calls:

4.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
1.0ms
N
Results
AccuracySegmentsBranch
8.0%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
8.0%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory
3.9MiB live, 3.9MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
Outputs
(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
Calls

2 calls:

1.0ms
N
1.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
4.1%1N
4.1%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 7 to 7 computations (0% saved)

derivations118.0ms (4.4%)

Memory
20.9MiB live, 66.1MiB allocated; 3ms collecting garbage
Stop Event
fuel
Compiler

Compiled 35 to 25 computations (28.6% saved)

preprocess46.0ms (1.7%)

Memory
16.1MiB live, 64.0MiB allocated; 9ms collecting garbage
Compiler

Compiled 57 to 43 computations (24.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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