2atan (example 3.5)

Time bar (total: 2.8s)

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory
1.9MiB live, 1.9MiB 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)

sample1.3s (47%)

Memory
51.0MiB live, 1 338.6MiB allocated; 385ms collecting garbage
Samples
890.0ms7 282×1valid
119.0ms796×2valid
8.0ms178×0valid
Precisions
Click to see histograms. Total time spent on operations: 831.0ms
ival-atan: 416.0ms (50% of total)
adjust: 322.0ms (38.7% of total)
ival-add!: 54.0ms (6.5% of total)
ival-sub!: 40.0ms (4.8% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

preprocess154.0ms (5.5%)

Memory
-14.9MiB live, 43.4MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01226
12626
25226
313924
499222
5667222
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.0%
(-.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
1.4MiB live, 1.4MiB 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))

rewrite68.0ms (2.4%)

Memory
10.2MiB live, 54.8MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031106
03698
114598
092098
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 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 (*.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 (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 (*.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 (/.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 #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))))

eval4.0ms (0.2%)

Memory
9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 366 to 178 computations (51.4% saved)

prune2.0ms (0.1%)

Memory
3.5MiB live, 3.5MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New39342
Fresh000
Picked101
Done000
Total40343
Accuracy
15.8%
Counts
43 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.8%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
6.0%
(-.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
4.9MiB live, 4.9MiB 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)

rewrite84.0ms (3%)

Memory
15.6MiB live, 104.5MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077385
092345
1370337
03063334
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))))

eval33.0ms (1.2%)

Memory
-23.6MiB live, 47.1MiB allocated; 22ms collecting garbage
Compiler

Compiled 1 497 to 541 computations (63.9% saved)

prune9.0ms (0.3%)

Memory
-31.5MiB live, 15.0MiB allocated; 3ms collecting garbage
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1475152
Fresh000
Picked213
Done000
Total1496155
Accuracy
99.6%
Counts
155 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.8%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
15.8%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
14.7%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))))
15.8%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
4.9%
(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 140 to 117 computations (16.4% saved)

series13.0ms (0.5%)

Memory
25.5MiB live, 25.5MiB allocated; 0ms collecting garbage
Counts
28 → 89
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) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) N)
(*.f64 N N)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))))
(/.f64 (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))))
(fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N)))
(*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))
(*.f64 (*.f64 (*.f64 N N) N) N)
(*.f64 (*.f64 N N) N)
(fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
(-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
(*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))
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) (+ (* (- (/ 1 N) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* (pow N 2) (+ 1 (/ 1 N)))))))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (+ 1 N) 3)) (- (+ (pow N 4) (pow (+ 1 N) 2)) (* (pow N 2) (+ 1 N)))))))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 1))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 1))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (+ 1 (* 3 N))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (+ 1 (* N (+ 3 (* 3 N))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (+ 1 (* N (+ 3 (* N (+ 3 N)))))))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 1))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 (+ 1 (* N (+ 2 N)))))
#s(approx (* (* (* (* N N) N) N) (* N N)) #s(hole binary64 (pow N 6)))
#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 -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 1))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* N (+ 2 (* -1 (pow N 2)))))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* N (+ 2 (* (pow N 2) (- N 1)))))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (- (* -1 N) 1))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (- (* N (- N 1)) 1))))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (pow N 2)))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (* (pow N 2) (+ 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 (- 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) (+ (* (- (/ 1 N) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (/ 1 N) -1) #s(hole binary64 1))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (+ 1 N) 3)) (- (+ (pow N 4) (pow (+ 1 N) 2)) (+ (pow N 2) (pow N 3)))))))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (pow N 6)))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (/ 1 (pow N 3))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (+ (/ 1 (pow N 3)) (/ 3 (pow N 4)))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (+ (/ 1 (pow N 3)) (+ (* 3 (/ 1 (pow N 5))) (/ 3 (pow N 4))))))))
#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 (* 2 (/ 1 N))))))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (pow N 4)))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (/ 2 (pow N 3))) (/ 1 N)))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (/ 1 (pow N 4)) (/ 2 (pow N 3)))) (/ 1 N)))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (pow N 4)))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 N)))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (+ 1 (/ 1 N)) N))))))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (pow N 3)))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (* (pow N 3) (+ 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) (+ (* (- (/ 1 N) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (- 1 (* -1 N)) 3)) (- (+ (* -1 (pow N 3)) (+ (pow N 4) (pow (- 1 (* -1 N)) 2))) (pow N 2))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 3 (/ 1 N))) N)) 1) (pow N 3)))))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 (pow N 2)))) N))))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ 2 (/ 1 N)) (pow N 2)))) N))))))
Calls

3 calls:

TimeVariablePointExpression
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) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (+ (* (- (/ 1 N) -1) (* N N)) 1) (- (/ 1 N) -1) (/ 1 N) (* N N) (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) (+ (* (* (- N -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) (* (* N N) N) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (- (* (* (* N N) N) N) (* (- N -1) (* N N))) (* (- N -1) (* N N)))
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) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (+ (* (- (/ 1 N) -1) (* N N)) 1) (- (/ 1 N) -1) (/ 1 N) (* N N) (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) (+ (* (* (- N -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) (* (* N N) N) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (- (* (* (* N N) N) N) (* (- N -1) (* N N))) (* (- N -1) (* N N)))
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) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (+ (* (- (/ 1 N) -1) (* N N)) 1) (- (/ 1 N) -1) (/ 1 N) (* N N) (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) (+ (* (* (- N -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) (* (* N N) N) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (- (* (* (* N N) N) N) (* (- N -1) (* N N))) (* (- N -1) (* N N)))

rewrite233.0ms (8.4%)

Memory
12.1MiB live, 234.1MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02852459
03401955
115931926
084571897
Stop Event
iter-limit
node-limit
iter-limit
Counts
117 → 350
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) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) N)
(*.f64 N N)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))))
(/.f64 (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))))
(fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N)))
(*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))
(*.f64 (*.f64 (*.f64 N N) N) N)
(*.f64 (*.f64 N N) N)
(fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
(-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
(*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N 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 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) (+ (* (- (/ 1 N) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* (pow N 2) (+ 1 (/ 1 N)))))))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 1))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (+ 1 N) 3)) (- (+ (pow N 4) (pow (+ 1 N) 2)) (* (pow N 2) (+ 1 N)))))))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 1))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 1))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (+ 1 (* 3 N))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (+ 1 (* N (+ 3 (* 3 N))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (+ 1 (* N (+ 3 (* N (+ 3 N)))))))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 1))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 (+ 1 (* N (+ 2 N)))))
#s(approx (* (* (* (* N N) N) N) (* N N)) #s(hole binary64 (pow N 6)))
#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 -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 1))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* N (+ 2 (* -1 (pow N 2)))))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* N (+ 2 (* (pow N 2) (- N 1)))))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (- (* -1 N) 1))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (- (* N (- N 1)) 1))))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (pow N 2)))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (* (pow N 2) (+ 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 (- 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) (+ (* (- (/ 1 N) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (/ 1 N) -1) #s(hole binary64 1))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (+ 1 N) 3)) (- (+ (pow N 4) (pow (+ 1 N) 2)) (+ (pow N 2) (pow N 3)))))))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (pow N 6)))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (/ 1 (pow N 3))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (+ (/ 1 (pow N 3)) (/ 3 (pow N 4)))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (+ (/ 1 (pow N 3)) (+ (* 3 (/ 1 (pow N 5))) (/ 3 (pow N 4))))))))
#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 (* 2 (/ 1 N))))))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (pow N 4)))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (/ 2 (pow N 3))) (/ 1 N)))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (/ 1 (pow N 4)) (/ 2 (pow N 3)))) (/ 1 N)))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (pow N 4)))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 N)))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (+ 1 (/ 1 N)) N))))))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (pow N 3)))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (* (pow N 3) (+ 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) (+ (* (- (/ 1 N) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (- 1 (* -1 N)) 3)) (- (+ (* -1 (pow N 3)) (+ (pow N 4) (pow (- 1 (* -1 N)) 2))) (pow N 2))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 3 (/ 1 N))) N)) 1) (pow N 3)))))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 (pow N 2)))) N))))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ 2 (/ 1 N)) (pow N 2)))) N))))))
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 (*.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 (+.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 (-.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 #s(literal 1 binary64) (neg.f64 N)))))
(/.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 #s(literal 1 binary64) (neg.f64 N))))
(-.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 #s(literal 1 binary64) (neg.f64 N)))) (/.f64 #s(literal -1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) (neg.f64 N)))))
(-.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 (*.f64 (*.f64 N N) N) (pow.f64 (+.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 N N (fma.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N) (*.f64 N (+.f64 #s(literal -1 binary64) N)))))
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(-.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) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
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(/.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)))
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(-.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))))
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(+.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 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N N) N) N))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))))
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(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 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 (neg.f64 (fma.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N 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 (-.f64 #s(literal 1 binary64) (*.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) (*.f64 (*.f64 N N) N))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 #s(literal 1 binary64) (*.f64 N N)))))
(/.f64 (fma.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) #s(literal 1 binary64)))))
(fma.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 N) (fabs.f64 N) #s(literal 1 binary64))
(fma.f64 (neg.f64 N) (neg.f64 N) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 N N) N) (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) N) #s(literal 1 binary64))
(fma.f64 N N #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N N))) (/.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) (-.f64 (*.f64 N N) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.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 N N) N) (*.f64 (*.f64 N N) N)) (+.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) (*.f64 (*.f64 N N) N)) (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) #s(literal 1 binary64))))))
(+.f64 (*.f64 N N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 N N))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) N) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) N)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) N)))))
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#s(approx (* (- N -1) (* N N)) (*.f64 N N))
#s(approx (* (- N -1) (* N N)) (*.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.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 (- 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) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) (*.f64 N N))
#s(approx (+ (* (- (/ 1 N) -1) (* N N)) 1) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))
#s(approx (+ (* (- (/ 1 N) -1) (* 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 (- (/ 1 N) -1) #s(literal 1 binary64))
#s(approx (- (/ 1 N) -1) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) N) N (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) N))) (-.f64 (fma.f64 (*.f64 (*.f64 N N) N) N (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N))) (fma.f64 (*.f64 N N) N (*.f64 N N))))))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) (*.f64 N N))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) (*.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 -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N)))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64) (*.f64 (*.f64 N N) N)))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 N N) N) N)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) N)) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 N N) N) N))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))))
#s(approx (* (- N -1) (- N -1)) (*.f64 N N))
#s(approx (* (- N -1) (- N -1)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (* (- N -1) (- N -1)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (*.f64 (*.f64 (*.f64 N N) N) N))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N 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 -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 1 binary64) N)))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (*.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N N) N) N))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 N N) N))) (/.f64 #s(literal 1 binary64) N)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) (*.f64 (*.f64 (*.f64 N N) N) N))
#s(approx (- (* (* (* N 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) (* (- N -1) (* N N))) (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (* (- N -1) (* N N)) (*.f64 (*.f64 N N) N))
#s(approx (* (- N -1) (* N N)) (fma.f64 (*.f64 (*.f64 N N) N) #s(literal 1 binary64) (*.f64 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) (+ (* (- (/ 1 N) -1) (* 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 -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) (-.f64 #s(literal 1 binary64) (neg.f64 N))) (-.f64 #s(literal 1 binary64) (neg.f64 N)) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))) (-.f64 (fma.f64 (neg.f64 N) (*.f64 N N) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) (-.f64 #s(literal 1 binary64) (neg.f64 N)) (*.f64 (*.f64 (*.f64 N N) N) N))) (*.f64 N N)))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) #s(literal 3 binary64)) N)) #s(literal 1 binary64)) (*.f64 (*.f64 N N) N))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 N N))) N)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 2 binary64)) (*.f64 N N))) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))

eval57.0ms (2%)

Memory
17.3MiB live, 119.2MiB allocated; 15ms collecting garbage
Compiler

Compiled 6 251 to 1 873 computations (70% saved)

prune71.0ms (2.6%)

Memory
-21.3MiB live, 24.2MiB allocated; 5ms collecting garbage
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New40110411
Fresh000
Picked325
Done101
Total40512417
Accuracy
99.7%
Counts
417 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.8%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
14.0%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))))
4.1%
(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
99.5%
(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 #s(literal 1 binary64) (neg.f64 N)))) 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)))
95.8%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64)))
79.6%
(atan2.f64 #s(approx (- (- N -1) 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))))
51.2%
(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))))))
7.7%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N)))
95.8%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
51.3%
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) N) N (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) N))) (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (*.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N)))))))
99.5%
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
Compiler

Compiled 434 to 342 computations (21.2% saved)

series13.0ms (0.5%)

Memory
17.9MiB live, 17.9MiB allocated; 0ms collecting garbage
Counts
33 → 102
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
#s(literal 1 binary64)
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(fma.f64 N N #s(literal 1 binary64))
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)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(approx (+ (* (- N -1) N) 1) (*.f64 N N))
(*.f64 N N)
(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 #s(literal 1 binary64) (neg.f64 N)))) N #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 #s(literal 1 binary64) (neg.f64 N)))) N #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 #s(literal 1 binary64) (neg.f64 N))))
(-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64))
(*.f64 (*.f64 N N) N)
#s(literal -1 binary64)
(fma.f64 N N (+.f64 #s(literal 1 binary64) (neg.f64 N)))
(+.f64 #s(literal 1 binary64) (neg.f64 N))
(neg.f64 N)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
(/.f64 #s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N)))
(*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))
(fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
(-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
(*.f64 (*.f64 (*.f64 N N) N) N)
(*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* (pow N 2) (+ 1 (/ 1 N)))))))
#s(approx (atan2 1 (+ (+ (* N N) 1) N)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 1))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 (+ 1 N)))
#s(approx (+ (+ (* N N) 1) N) #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 N #s(hole binary64 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) #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 (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ 1 (neg N)))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ 1 (neg N)))) #s(hole binary64 1))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ 1 (neg N)))) #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) (+ 1 (neg N))) #s(hole binary64 1))
#s(approx (+ (* N N) (+ 1 (neg N))) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (+ (* N N) (+ 1 (neg N))) #s(hole binary64 (+ 1 (* N (- N 1)))))
#s(approx (+ 1 (neg N)) #s(hole binary64 1))
#s(approx (+ 1 (neg N)) #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)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (+ 1 N) 3)) (- (+ (pow N 4) (pow (+ 1 N) 2)) (* (pow N 2) (+ 1 N)))))))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 1))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 1))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (+ 1 (* 3 N))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (+ 1 (* N (+ 3 (* 3 N))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (+ 1 (* N (+ 3 (* N (+ 3 N)))))))
#s(approx (* (* (* N N) N) (* (* N N) N)) #s(hole binary64 (pow N 6)))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 1))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* N (+ 2 (* -1 (pow N 2)))))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* N (+ 2 (* (pow N 2) (- N 1)))))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (- (* -1 N) 1))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (- (* N (- N 1)) 1))))
#s(approx (* (* (* N N) N) N) #s(hole binary64 (pow N 4)))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (pow N 2)))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (* (pow N 2) (+ 1 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 (pow N 2)))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (+ (* N N) 1) N) #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 -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) -1) (+ (* N N) (+ 1 (neg N)))) 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) (+ 1 (neg N)))) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ 1 (neg N)))) #s(hole binary64 N))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ 1 (neg N)))) #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) (+ 1 (neg N))) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) (+ 1 (neg N))) #s(hole binary64 (* (pow N 2) (- 1 (/ 1 N)))))
#s(approx (+ (* N N) (+ 1 (neg N))) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))
#s(approx (+ 1 (neg N)) #s(hole binary64 (* -1 N)))
#s(approx (+ 1 (neg N)) #s(hole binary64 (* N (- (/ 1 N) 1))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (+ 1 N) 3)) (- (+ (pow N 4) (pow (+ 1 N) 2)) (+ (pow N 2) (pow N 3)))))))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (pow N 6)))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (/ 1 (pow N 3))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (+ (/ 1 (pow N 3)) (/ 3 (pow N 4)))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (+ (/ 1 (pow N 3)) (+ (* 3 (/ 1 (pow N 5))) (/ 3 (pow N 4))))))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (pow N 4)))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (/ 2 (pow N 3))) (/ 1 N)))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (/ 1 (pow N 4)) (/ 2 (pow N 3)))) (/ 1 N)))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (pow N 4)))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 N)))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (+ 1 (/ 1 N)) N))))))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (pow N 3)))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (* (pow N 3) (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 1 (+ (+ (* N N) 1) N)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -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) (+ (* N N) (+ 1 (neg N)))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))))
#s(approx (+ (* N N) (+ 1 (neg N))) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))))
#s(approx (+ 1 (neg N)) #s(hole binary64 (* -1 (* N (- 1 (/ 1 N))))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (- 1 (* -1 N)) 3)) (- (+ (* -1 (pow N 3)) (+ (pow N 4) (pow (- 1 (* -1 N)) 2))) (pow N 2))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 3 (/ 1 N))) N)) 1) (pow N 3)))))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 (pow N 2)))) N))))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ 2 (/ 1 N)) (pow N 2)))) N))))))
Calls

3 calls:

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

rewrite215.0ms (7.8%)

Memory
-7.2MiB live, 260.9MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03332954
03792190
118652121
096702082
Stop Event
iter-limit
node-limit
iter-limit
Counts
135 → 383
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
#s(literal 1 binary64)
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(fma.f64 N N #s(literal 1 binary64))
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)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
#s(approx (- (- N -1) N) #s(literal 1 binary64))
#s(approx (+ (* (- N -1) N) 1) (*.f64 N N))
(*.f64 N N)
(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 #s(literal 1 binary64) (neg.f64 N)))) N #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 #s(literal 1 binary64) (neg.f64 N)))) N #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 #s(literal 1 binary64) (neg.f64 N))))
(-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64))
(*.f64 (*.f64 N N) N)
#s(literal -1 binary64)
(fma.f64 N N (+.f64 #s(literal 1 binary64) (neg.f64 N)))
(+.f64 #s(literal 1 binary64) (neg.f64 N))
(neg.f64 N)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
(/.f64 #s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N)))
(*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))
(fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
(-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
(*.f64 (*.f64 (*.f64 N N) N) N)
(*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* (pow N 2) (+ 1 (/ 1 N)))))))
#s(approx (atan2 1 (+ (+ (* N N) 1) N)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 1))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 (+ 1 N)))
#s(approx (+ (+ (* N N) 1) N) #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 N #s(hole binary64 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) #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 (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 (- (- N -1) N) (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ 1 (neg N)))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ 1 (neg N)))) #s(hole binary64 1))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ 1 (neg N)))) #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) (+ 1 (neg N))) #s(hole binary64 1))
#s(approx (+ (* N N) (+ 1 (neg N))) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (+ (* N N) (+ 1 (neg N))) #s(hole binary64 (+ 1 (* N (- N 1)))))
#s(approx (+ 1 (neg N)) #s(hole binary64 1))
#s(approx (+ 1 (neg N)) #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)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (+ 1 N) 3)) (- (+ (pow N 4) (pow (+ 1 N) 2)) (* (pow N 2) (+ 1 N)))))))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 1))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (+ 1 N)))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 1))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (+ 1 (* 3 N))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (+ 1 (* N (+ 3 (* 3 N))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (+ 1 (* N (+ 3 (* N (+ 3 N)))))))
#s(approx (* (* (* N N) N) (* (* N N) N)) #s(hole binary64 (pow N 6)))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 1))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* N (+ 2 (* -1 (pow N 2)))))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (+ 1 (* N (+ 2 (* (pow N 2) (- N 1)))))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (- (* -1 N) 1))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 2) (- (* N (- N 1)) 1))))
#s(approx (* (* (* N N) N) N) #s(hole binary64 (pow N 4)))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (pow N 2)))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (* (pow N 2) (+ 1 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 (pow N 2)))
#s(approx (+ (+ (* N N) 1) N) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (+ (* N N) 1) N) #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 -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) -1) (+ (* N N) (+ 1 (neg N)))) 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) (+ 1 (neg N)))) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ 1 (neg N)))) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ 1 (neg N)))) #s(hole binary64 N))
#s(approx (/ (- (* (* N N) N) -1) (+ (* N N) (+ 1 (neg N)))) #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) (+ 1 (neg N))) #s(hole binary64 (pow N 2)))
#s(approx (+ (* N N) (+ 1 (neg N))) #s(hole binary64 (* (pow N 2) (- 1 (/ 1 N)))))
#s(approx (+ (* N N) (+ 1 (neg N))) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))
#s(approx (+ 1 (neg N)) #s(hole binary64 (* -1 N)))
#s(approx (+ 1 (neg N)) #s(hole binary64 (* N (- (/ 1 N) 1))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (+ 1 N) 3)) (- (+ (pow N 4) (pow (+ 1 N) 2)) (+ (pow N 2) (pow N 3)))))))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (pow N 2)))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (pow N 6)))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (/ 1 (pow N 3))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (+ (/ 1 (pow N 3)) (/ 3 (pow N 4)))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (+ (/ 1 (pow N 3)) (+ (* 3 (/ 1 (pow N 5))) (/ 3 (pow N 4))))))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (pow N 4)))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (/ 2 (pow N 3))) (/ 1 N)))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (/ 1 (pow N 4)) (/ 2 (pow N 3)))) (/ 1 N)))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (pow N 4)))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 N)))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (+ 1 (/ 1 N)) N))))))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (pow N 3)))
#s(approx (* (- N -1) (* N N)) #s(hole binary64 (* (pow N 3) (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 1 (+ (+ (* N N) 1) N)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -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) (+ (* N N) (+ 1 (neg N)))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))))
#s(approx (+ (* N N) (+ 1 (neg N))) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))))
#s(approx (+ 1 (neg N)) #s(hole binary64 (* -1 (* N (- 1 (/ 1 N))))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) #s(hole binary64 (atan2 1 (/ (+ (pow N 6) (pow (- 1 (* -1 N)) 3)) (- (+ (* -1 (pow N 3)) (+ (pow N 4) (pow (- 1 (* -1 N)) 2))) (pow N 2))))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) #s(hole binary64 (* (pow N 6) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 3 (/ 1 N))) N)) 1) (pow N 3)))))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 (pow N 2)))) N))))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ 2 (/ 1 N)) (pow N 2)))) N))))))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) 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 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N)) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) N)) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N)) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))) (/.f64 (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N)) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) N)) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) N)) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N)) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) N)) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N)) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) (*.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) N)))) (*.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) N) N (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) N))))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))))))
(/.f64 (neg.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))) (neg.f64 (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 (neg.f64 (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N N))) (neg.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(/.f64 (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(/.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 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) N) N (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) N)))) (neg.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) N) N (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) N))) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))))
(fma.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (neg.f64 (neg.f64 N)) (neg.f64 (neg.f64 N)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (fabs.f64 N) (fabs.f64 N) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (neg.f64 N) (neg.f64 N) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (*.f64 (*.f64 N N) N) (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) N) (+.f64 #s(literal 1 binary64) N))
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
(-.f64 (/.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (/.f64 (*.f64 N N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(+.f64 (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (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 (*.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 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) N)) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))) (/.f64 (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N)) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N)) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) N)) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))))
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(+.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (*.f64 N N)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 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) (*.f64 (*.f64 N N) N)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 #s(literal 1 binary64) (*.f64 N N))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) N) N #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 N N) (*.f64 N N) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (*.f64 N N))) (-.f64 #s(literal 1 binary64) (*.f64 N N)))
(/.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 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) (*.f64 (*.f64 N N) N))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 #s(literal 1 binary64) (*.f64 N N)))))
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#s(approx (- (* (* N N) N) -1) (*.f64 (*.f64 N N) N))
#s(approx (- (* (* N N) N) -1) (fma.f64 (*.f64 (*.f64 N N) N) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (+ (* N N) (+ 1 (neg N))) (*.f64 N N))
#s(approx (+ (* N N) (+ 1 (neg N))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 N N)))
#s(approx (+ (* N N) (+ 1 (neg N))) (*.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 (+ 1 (neg N)) (neg.f64 N))
#s(approx (+ 1 (neg N)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) N) N (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) N))) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) (*.f64 N N))) (fma.f64 (*.f64 N N) N (*.f64 N N))))))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) (*.f64 N N))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))
#s(approx (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N))))) (*.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 -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N)))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64) (*.f64 (*.f64 N N) N)))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 N N) (*.f64 N N))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) N)) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 N N) (*.f64 N N)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (*.f64 (*.f64 N N) (*.f64 N N)))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 (*.f64 N N) (*.f64 N N))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 1 binary64) N)))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (*.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (*.f64 N N)))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 N N) N))) (/.f64 #s(literal 1 binary64) N)) (*.f64 (*.f64 N N) (*.f64 N N))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) (*.f64 (*.f64 N N) (*.f64 N N)))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 (*.f64 N N) (*.f64 N N))))
#s(approx (- (* (* (* N N) N) N) (* (- N -1) (* N N))) (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) (*.f64 (*.f64 N N) (*.f64 N N))))
#s(approx (* (- N -1) (* N N)) (*.f64 (*.f64 N N) N))
#s(approx (* (- N -1) (* N N)) (fma.f64 (*.f64 (*.f64 N N) N) #s(literal 1 binary64) (*.f64 N N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))))
#s(approx (atan2 1 (+ (+ (* N N) 1) N)) (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) -1) (+ (* N N) (+ 1 (neg N)))) 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) (+ (* N N) (+ 1 (neg N)))) 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) (+ 1 (neg N))) (*.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 (+ 1 (neg N)) (*.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)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) (-.f64 #s(literal 1 binary64) (neg.f64 N))) (-.f64 #s(literal 1 binary64) (neg.f64 N)) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))) (-.f64 (fma.f64 (*.f64 N N) (neg.f64 N) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) (-.f64 #s(literal 1 binary64) (neg.f64 N)) (*.f64 (*.f64 N N) (*.f64 N N)))) (*.f64 N N)))))
#s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) N) #s(literal 3 binary64)) N)) #s(literal 1 binary64)) (*.f64 (*.f64 N N) N))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 N N))) N)) #s(literal 1 binary64)) (*.f64 (*.f64 N N) (*.f64 N N))))
#s(approx (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))) (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 N N))) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) (*.f64 (*.f64 N N) (*.f64 N N))))

eval63.0ms (2.3%)

Memory
10.5MiB live, 121.1MiB allocated; 33ms collecting garbage
Compiler

Compiled 6 206 to 2 079 computations (66.5% saved)

prune20.0ms (0.7%)

Memory
-1.2MiB live, 45.0MiB allocated; 3ms collecting garbage
Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New38113394
Fresh325
Picked325
Done022
Total38719406
Accuracy
99.8%
Counts
406 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.8%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N 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)))
99.1%
(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 #s(literal 1 binary64) (neg.f64 N)))) N #s(literal 1 binary64)))
99.5%
(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 #s(literal 1 binary64) (neg.f64 N)))) N #s(literal 1 binary64)))
62.7%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.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))))) N #s(literal 1 binary64)))
99.3%
(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 (/.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) N) (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
95.7%
(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) (+ 1 (neg N))) (*.f64 N N))) 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)))
95.8%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 #s(approx (- N -1) N) N #s(literal 1 binary64)))
79.4%
(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))))
7.7%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N)))
95.6%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) N))))
95.8%
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 N N)))
99.6%
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
99.4%
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) N) (+.f64 #s(literal 1 binary64) N))))
51.3%
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) N) N #s(literal 1 binary64)) (fma.f64 (*.f64 N N) (*.f64 N N) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) #s(literal 1 binary64))))) N)))
79.5%
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64))) N)))
98.3%
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N)))
6.2%
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) #s(literal 1 binary64))))
Compiler

Compiled 691 to 487 computations (29.5% saved)

regimes51.0ms (1.8%)

Memory
-29.5MiB live, 16.8MiB allocated; 3ms collecting garbage
Counts
32 → 1
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) #s(literal 1 binary64))))
(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 -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))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) 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)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #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 #s(approx (- (- N -1) N) #s(literal 1 binary64)) #s(approx (+ (* (- N -1) N) 1) (*.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) 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))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N N) N) (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.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) (+ 1 (neg N))) (*.f64 N N))) N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64))) N)))
(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 #s(literal 1 binary64) (neg.f64 N)))) N #s(literal 1 binary64)))
(atan2.f64 #s(approx (- (- N -1) 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))))
(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 (/.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 N 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)) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (+.f64 #s(literal 1 binary64) (neg.f64 N)))) N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) N) N #s(literal 1 binary64)) (fma.f64 (*.f64 N N) (*.f64 N N) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) #s(literal 1 binary64))))) 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 #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 #s(literal 1 binary64) (neg.f64 N)))) N #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 #s(approx (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.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))))))
(atan2.f64 #s(approx (- (- N -1) N) #s(literal 1 binary64)) (fma.f64 (/.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))))) N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) N) N (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) N))) (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (*.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N)))))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))))
Outputs
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (* (- N -1) (- N -1)) (- N -1)) (* (* (* (* N N) N) N) (* N N))) (+ (* (- N -1) (- N -1)) (- (* (* (* N N) N) N) (* (- N -1) (* N N)))))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
Calls

2 calls:

8.0ms
N
5.0ms
(-.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)

regimes6.0ms (0.2%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) #s(literal 1 binary64))))
(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 -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))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) 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)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
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:

3.0ms
N
2.0ms
(-.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
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) #s(literal 1 binary64))))
(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 -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))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N)))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N)))
Calls

2 calls:

3.0ms
N
2.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
98.3%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
98.3%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.2%)

Memory
5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) #s(literal 1 binary64))))
(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 -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:

2.0ms
N
2.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
95.8%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
95.8%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) #s(literal 1 binary64))))
(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 -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
95.8%1N
95.8%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) #s(literal 1 binary64))))
(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)))
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:

1.0ms
N
1.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
7.7%1N
7.7%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB allocated; 0ms collecting garbage
Accuracy

Total -1.4b remaining (-2.3%)

Threshold costs -1.4b (-2.3%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) #s(literal 1 binary64))))
(atan2.f64 (-.f64 #s(approx (- N -1) N) N) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) #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
6.2%1N
6.2%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 7 to 7 computations (0% saved)

derivations289.0ms (10.4%)

Memory
-21.5MiB live, 353.6MiB allocated; 41ms collecting garbage
Stop Event
fuel
Compiler

Compiled 78 to 51 computations (34.6% saved)

preprocess60.0ms (2.2%)

Memory
40.2MiB live, 131.4MiB allocated; 19ms collecting garbage
Compiler

Compiled 100 to 69 computations (31% saved)

end0.0ms (0%)

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

Profiling

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