2atan (example 3.5)

Time bar (total: 2.9s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze2.0ms (0.1%)

Memory
2.8MiB live, 2.8MiB 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)

sample1.5s (49.5%)

Memory
55.3MiB live, 1 323.7MiB allocated; 958ms collecting garbage
Samples
1.0s7 222×1valid
148.0ms835×2valid
9.0ms199×0valid
Precisions
Click to see histograms. Total time spent on operations: 956.0ms
ival-atan: 635.0ms (66.4% of total)
adjust: 233.0ms (24.4% of total)
ival-add!: 49.0ms (5.1% of total)
ival-sub!: 39.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

preprocess70.0ms (2.4%)

Memory
-2.7MiB live, 41.5MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01225
13722
211421
332721
4139121
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.6%
(-.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
3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Counts
6 → 9
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 (+ 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))

rewrite74.0ms (2.5%)

Memory
20.7MiB live, 64.7MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030101
03593
116793
092493
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
15 → 60
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 (+ 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 (*.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 #s(literal 1 binary64) (+.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))) (/.f64 #s(literal 1 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 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (atan.f64 N)) #s(literal 3 binary64))) (fma.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64))) (-.f64 (*.f64 (atan.f64 N) (atan.f64 N)) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (atan.f64 N))))))
(/.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))))))
(neg.f64 (-.f64 (atan.f64 N) (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))) (neg.f64 (neg.f64 (atan.f64 N))))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (-.f64 N #s(literal -1 binary64))))
(+.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (atan.f64 N)))
(neg.f64 (atan.f64 (-.f64 (neg.f64 N) #s(literal 1 binary64))))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))
(*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #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)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #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 (*.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)))
(neg.f64 (-.f64 #s(literal -1 binary64) N))
(neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 N)))
(neg.f64 (-.f64 (neg.f64 N) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))
(-.f64 (/.f64 #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 (/.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) 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) (-.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))))

eval5.0ms (0.2%)

Memory
12.0MiB live, 12.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 466 to 205 computations (56% saved)

prune3.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New49453
Fresh000
Picked101
Done000
Total50454
Accuracy
19.6%
Counts
54 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.6%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
8.6%
(/.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))))))
8.6%
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
2.0%
(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 43 to 34 computations (20.9% saved)

series28.0ms (0.9%)

Memory
-66.4MiB live, 19.6MiB allocated; 24ms collecting garbage
Counts
21 → 29
Calls
Call 1
Inputs
(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))
#s(approx (+ N 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(atan.f64 N)
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)
(/.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 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))
(pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 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 (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))))
(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))
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 (atan N) #s(hole binary64 (atan N)))
#s(approx N #s(hole binary64 N))
#s(approx (/ (- (pow (atan (- N -1)) 3) (pow (atan N) 3)) (+ (* (atan N) (+ (atan N) (atan (- N -1)))) (* (atan (- N -1)) (atan (- N -1))))) #s(hole binary64 (/ (- (pow (atan (+ 1 N)) 3) (pow (atan N) 3)) (+ (* (atan N) (+ (atan N) (atan (+ 1 N)))) (pow (atan (+ 1 N)) 2)))))
#s(approx (- (pow (atan (- N -1)) 3) (pow (atan N) 3)) #s(hole binary64 (- (pow (atan (+ 1 N)) 3) (pow (atan N) 3))))
#s(approx (pow (atan (- N -1)) 3) #s(hole binary64 (pow (atan (+ 1 N)) 3)))
#s(approx (pow (atan N) 3) #s(hole binary64 (pow (atan N) 3)))
#s(approx (+ (* (atan N) (+ (atan N) (atan (- N -1)))) (* (atan (- N -1)) (atan (- N -1)))) #s(hole binary64 (+ (* (atan N) (+ (atan N) (atan (+ 1 N)))) (pow (atan (+ 1 N)) 2))))
#s(approx (+ (atan N) (atan (- N -1))) #s(hole binary64 (+ (atan N) (atan (+ 1 N)))))
#s(approx (* (atan (- N -1)) (atan (- N -1))) #s(hole binary64 (pow (atan (+ 1 N)) 2)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 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 (/ (- (pow (atan (- N -1)) 3) (pow (atan N) 3)) (+ (* (atan N) (+ (atan N) (atan (- N -1)))) (* (atan (- N -1)) (atan (- N -1))))) #s(hole binary64 (/ (- (pow (atan (- 1 (* -1 N))) 3) (pow (atan N) 3)) (+ (* (atan N) (+ (atan N) (atan (- 1 (* -1 N))))) (pow (atan (- 1 (* -1 N))) 2)))))
#s(approx (- (pow (atan (- N -1)) 3) (pow (atan N) 3)) #s(hole binary64 (- (pow (atan (- 1 (* -1 N))) 3) (pow (atan N) 3))))
#s(approx (pow (atan (- N -1)) 3) #s(hole binary64 (pow (atan (- 1 (* -1 N))) 3)))
#s(approx (+ (* (atan N) (+ (atan N) (atan (- N -1)))) (* (atan (- N -1)) (atan (- N -1)))) #s(hole binary64 (+ (* (atan N) (+ (atan N) (atan (- 1 (* -1 N))))) (pow (atan (- 1 (* -1 N))) 2))))
#s(approx (+ (atan N) (atan (- N -1))) #s(hole binary64 (+ (atan N) (atan (- 1 (* -1 N))))))
#s(approx (* (atan (- N -1)) (atan (- N -1))) #s(hole binary64 (pow (atan (- 1 (* -1 N))) 2)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
Calls

3 calls:

TimeVariablePointExpression
19.0ms
N
@inf
((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) 1 (atan N) N (- (atan (- N -1)) (atan N)) (atan (- N -1)) (- N -1) -1 (/ (- (pow (atan (- N -1)) 3) (pow (atan N) 3)) (+ (* (atan N) (+ (atan N) (atan (- N -1)))) (* (atan (- N -1)) (atan (- N -1))))) (- (pow (atan (- N -1)) 3) (pow (atan N) 3)) (pow (atan (- N -1)) 3) 3 (pow (atan N) 3) (+ (* (atan N) (+ (atan N) (atan (- N -1)))) (* (atan (- N -1)) (atan (- N -1)))) (+ (atan N) (atan (- N -1))) (* (atan (- N -1)) (atan (- N -1))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1))
5.0ms
N
@-inf
((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) 1 (atan N) N (- (atan (- N -1)) (atan N)) (atan (- N -1)) (- N -1) -1 (/ (- (pow (atan (- N -1)) 3) (pow (atan N) 3)) (+ (* (atan N) (+ (atan N) (atan (- N -1)))) (* (atan (- N -1)) (atan (- N -1))))) (- (pow (atan (- N -1)) 3) (pow (atan N) 3)) (pow (atan (- N -1)) 3) 3 (pow (atan N) 3) (+ (* (atan N) (+ (atan N) (atan (- N -1)))) (* (atan (- N -1)) (atan (- N -1)))) (+ (atan N) (atan (- N -1))) (* (atan (- N -1)) (atan (- N -1))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1))
3.0ms
N
@0
((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) 1 (atan N) N (- (atan (- N -1)) (atan N)) (atan (- N -1)) (- N -1) -1 (/ (- (pow (atan (- N -1)) 3) (pow (atan N) 3)) (+ (* (atan N) (+ (atan N) (atan (- N -1)))) (* (atan (- N -1)) (atan (- N -1))))) (- (pow (atan (- N -1)) 3) (pow (atan N) 3)) (pow (atan (- N -1)) 3) 3 (pow (atan N) 3) (+ (* (atan N) (+ (atan N) (atan (- N -1)))) (* (atan (- N -1)) (atan (- N -1)))) (+ (atan N) (atan (- N -1))) (* (atan (- N -1)) (atan (- N -1))) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1))

rewrite171.0ms (5.8%)

Memory
38.7MiB live, 127.1MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107720
0143530
1729526
04287523
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
50 → 486
Calls
Call 1
Inputs
(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))
#s(approx (+ N 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(atan.f64 N)
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)
(/.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 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))
(pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 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 (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))))
(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(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 (atan N) #s(hole binary64 (atan N)))
#s(approx N #s(hole binary64 N))
#s(approx (/ (- (pow (atan (- N -1)) 3) (pow (atan N) 3)) (+ (* (atan N) (+ (atan N) (atan (- N -1)))) (* (atan (- N -1)) (atan (- N -1))))) #s(hole binary64 (/ (- (pow (atan (+ 1 N)) 3) (pow (atan N) 3)) (+ (* (atan N) (+ (atan N) (atan (+ 1 N)))) (pow (atan (+ 1 N)) 2)))))
#s(approx (- (pow (atan (- N -1)) 3) (pow (atan N) 3)) #s(hole binary64 (- (pow (atan (+ 1 N)) 3) (pow (atan N) 3))))
#s(approx (pow (atan (- N -1)) 3) #s(hole binary64 (pow (atan (+ 1 N)) 3)))
#s(approx (pow (atan N) 3) #s(hole binary64 (pow (atan N) 3)))
#s(approx (+ (* (atan N) (+ (atan N) (atan (- N -1)))) (* (atan (- N -1)) (atan (- N -1)))) #s(hole binary64 (+ (* (atan N) (+ (atan N) (atan (+ 1 N)))) (pow (atan (+ 1 N)) 2))))
#s(approx (+ (atan N) (atan (- N -1))) #s(hole binary64 (+ (atan N) (atan (+ 1 N)))))
#s(approx (* (atan (- N -1)) (atan (- N -1))) #s(hole binary64 (pow (atan (+ 1 N)) 2)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 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 (/ (- (pow (atan (- N -1)) 3) (pow (atan N) 3)) (+ (* (atan N) (+ (atan N) (atan (- N -1)))) (* (atan (- N -1)) (atan (- N -1))))) #s(hole binary64 (/ (- (pow (atan (- 1 (* -1 N))) 3) (pow (atan N) 3)) (+ (* (atan N) (+ (atan N) (atan (- 1 (* -1 N))))) (pow (atan (- 1 (* -1 N))) 2)))))
#s(approx (- (pow (atan (- N -1)) 3) (pow (atan N) 3)) #s(hole binary64 (- (pow (atan (- 1 (* -1 N))) 3) (pow (atan N) 3))))
#s(approx (pow (atan (- N -1)) 3) #s(hole binary64 (pow (atan (- 1 (* -1 N))) 3)))
#s(approx (+ (* (atan N) (+ (atan N) (atan (- N -1)))) (* (atan (- N -1)) (atan (- N -1)))) #s(hole binary64 (+ (* (atan N) (+ (atan N) (atan (- 1 (* -1 N))))) (pow (atan (- 1 (* -1 N))) 2))))
#s(approx (+ (atan N) (atan (- N -1))) #s(hole binary64 (+ (atan N) (atan (- 1 (* -1 N))))))
#s(approx (* (atan (- N -1)) (atan (- N -1))) #s(hole binary64 (pow (atan (- 1 (* -1 N))) 2)))
#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) #s(literal 1 binary64)) N) (fma.f64 #s(approx (+ N 1) #s(literal 1 binary64)) N #s(literal 1 binary64)))
(*.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))) (/.f64 #s(literal 1 binary64) (+.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))))))
(*.f64 (-.f64 (pow.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (*.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N)))) (neg.f64 (+.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 #s(approx (+ N 1) #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 #s(approx (+ N 1) #s(literal 1 binary64)))) (*.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))))))
(/.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))) (+.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (fma.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (-.f64 (*.f64 (atan.f64 N) (atan.f64 N)) (*.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (neg.f64 (atan.f64 N))))))
(/.f64 (-.f64 (pow.f64 (atan.f64 #s(approx (+ N 1) #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 #s(approx (+ N 1) #s(literal 1 binary64)))) (*.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))))))
(neg.f64 (-.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (+.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))))) (/.f64 (*.f64 (atan.f64 N) (atan.f64 N)) (+.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (*.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 #s(approx (+ N 1) #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 #s(approx (+ N 1) #s(literal 1 binary64)))) (*.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))))))
(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (neg.f64 (neg.f64 (atan.f64 N))))
(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))))
(+.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (neg.f64 (atan.f64 N)))
(atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))
#s(approx (+ N 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(atan.f64 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)))
(*.f64 (/.f64 (*.f64 (-.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))) (fma.f64 (atan.f64 N) (atan.f64 N) (*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 N #s(literal -1 binary64)))))) (-.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
(*.f64 (/.f64 (*.f64 (-.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))) (+.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)))) (fma.f64 (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 N))))
(*.f64 (/.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))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 4 binary64)))) (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 N #s(literal -1 binary64))))))
(*.f64 (/.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))) (+.f64 (pow.f64 (*.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))) #s(literal 3 binary64)) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 6 binary64)))) (fma.f64 (*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (-.f64 (*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (*.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))))) (pow.f64 (*.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N))))) (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))))
(*.f64 (*.f64 (-.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))) (/.f64 #s(literal 1 binary64) (-.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))))
(*.f64 (-.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N)))))))
(*.f64 (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N)))) (*.f64 (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N)))))))
(*.f64 (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N)))) (/.f64 (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)) (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N))))))
(*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N))))))
(/.f64 (*.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))) #s(literal 1 binary64)) (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 6 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N)))))) (+.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))))
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(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) N) N))
(-.f64 N (-.f64 (*.f64 (neg.f64 N) N) #s(literal 1 binary64)))
(-.f64 N (-.f64 #s(literal -1 binary64) (*.f64 N N)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 N N)) N)
(+.f64 (/.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(+.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 (fma.f64 N N N) #s(literal 1 binary64))
(+.f64 (*.f64 N N) (-.f64 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 (-.f64 (*.f64 N N) #s(literal -1 binary64)))
(+.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N N)))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (-.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) (atan.f64 N))
#s(approx N N)
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
#s(approx (- (pow (atan (- N -1)) 3) (pow (atan N) 3)) (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))))
#s(approx (pow (atan (- N -1)) 3) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)))
#s(approx (pow (atan N) 3) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))
#s(approx (+ (* (atan N) (+ (atan N) (atan (- N -1)))) (* (atan (- N -1)) (atan (- N -1)))) (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N)))))
#s(approx (+ (atan N) (atan (- N -1))) (-.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))))
#s(approx (* (atan (- N -1)) (atan (- N -1))) (*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) 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) (-.f64 N #s(literal -1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 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 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (-.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 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
#s(approx (- (pow (atan (- N -1)) 3) (pow (atan N) 3)) (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))))
#s(approx (pow (atan (- N -1)) 3) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)))
#s(approx (+ (* (atan N) (+ (atan N) (atan (- N -1)))) (* (atan (- N -1)) (atan (- N -1)))) (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N)))))
#s(approx (+ (atan N) (atan (- N -1))) (-.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))))
#s(approx (* (atan (- N -1)) (atan (- N -1))) (*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))

eval90.0ms (3.1%)

Memory
-25.2MiB live, 114.0MiB allocated; 28ms collecting garbage
Compiler

Compiled 6 794 to 1 443 computations (78.8% saved)

prune15.0ms (0.5%)

Memory
33.2MiB live, 33.2MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New4137420
Fresh000
Picked314
Done000
Total4168424
Accuracy
99.7%
Counts
424 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.6%
(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)))
19.6%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (*.f64 (fma.f64 N N N) (-.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) (-.f64 N (*.f64 N N))) #s(literal 1 binary64)))
19.6%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
19.6%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
19.6%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))))
8.6%
(/.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 (-.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (atan.f64 N) (*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N)))))
2.0%
(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
99.7%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
Compiler

Compiled 192 to 166 computations (13.5% saved)

series11.0ms (0.4%)

Memory
-23.6MiB live, 19.7MiB allocated; 6ms collecting garbage
Counts
26 → 48
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) 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) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(+.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 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))
(fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64))
(fma.f64 N N N)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (*.f64 (fma.f64 N N N) (-.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) (-.f64 N (*.f64 N N))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 N N N) (-.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) (-.f64 N (*.f64 N N))) #s(literal 1 binary64))
(*.f64 (fma.f64 N N N) (-.f64 N (*.f64 N N)))
(-.f64 N (*.f64 N N))
(/.f64 #s(literal 1 binary64) (-.f64 N (*.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) 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 #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) 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) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1))) #s(hole binary64 (atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(hole binary64 -1))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(hole binary64 (- (pow N 2) 1)))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(hole binary64 (- (* (pow N 2) (+ 1 (* 2 N))) 1)))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(hole binary64 (- (* (pow N 2) (+ 1 (* N (+ 2 N)))) 1)))
#s(approx (+ (* N N) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (- N 1)))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (- (* N (+ 1 N)) 1)))
#s(approx (* (+ (* N N) N) (- N (* N N))) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (pow N 2))))))
#s(approx (- N (* N N)) #s(hole binary64 (* N (+ 1 (* -1 N)))))
#s(approx (/ 1 (- N (* N N))) #s(hole binary64 (/ (+ 1 (* N (+ 1 N))) N)))
#s(approx (/ 1 (- N (* N N))) #s(hole binary64 (/ (+ 1 (* N (+ 1 (* N (+ 1 N))))) N)))
#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 (+ 1 (/ 1 N)))))
#s(approx (+ (* N N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 (pow N 2))))))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1))) #s(hole binary64 (atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(hole binary64 (pow N 4)))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(hole binary64 (* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))) (/ 1 (pow N 4))))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 N)) (/ 1 (pow N 2))))))
#s(approx (* (+ (* N N) N) (- N (* N N))) #s(hole binary64 (* -1 (pow N 4))))
#s(approx (* (+ (* N N) N) (- N (* N N))) #s(hole binary64 (* (pow N 4) (- (/ 1 (pow N 2)) 1))))
#s(approx (- N (* N N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- N (* N N)) #s(hole binary64 (* (pow N 2) (- (/ 1 N) 1))))
#s(approx (/ 1 (- N (* N N))) #s(hole binary64 (/ -1 (pow N 2))))
#s(approx (/ 1 (- N (* N N))) #s(hole binary64 (* -1 (/ (+ 1 (/ 1 N)) (pow N 2)))))
#s(approx (/ 1 (- N (* N N))) #s(hole binary64 (/ (- (* -1 (/ (+ 1 (/ 1 N)) N)) 1) (pow N 2))))
#s(approx (/ 1 (- N (* N N))) #s(hole binary64 (/ (- (* -1 (/ (+ 1 (/ 1 N)) (pow N 2))) (+ 1 (/ 1 N))) (pow N 2))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1))) #s(hole binary64 (atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 2) N))))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- (/ 1 N) 1) N))))))
#s(approx (/ 1 (- N (* N N))) #s(hole binary64 (/ (- (* -1 (/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) N)) 1) (pow N 2))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
N
@0
((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (- N -1) N) 1)) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (- (- N -1) N) (+ 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 N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1))) (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1)) (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* N N) N) (+ (* (- N -1) N) -1) (atan2 (- (- N -1) N) (+ (* (* (+ (* N N) N) (- N (* N N))) (/ 1 (- N (* N N)))) 1)) (+ (* (* (+ (* N N) N) (- N (* N N))) (/ 1 (- N (* N N)))) 1) (* (+ (* N N) N) (- N (* N N))) (- N (* N N)) (/ 1 (- N (* N N))))
2.0ms
N
@-inf
((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (- N -1) N) 1)) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (- (- N -1) N) (+ 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 N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1))) (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1)) (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* N N) N) (+ (* (- N -1) N) -1) (atan2 (- (- N -1) N) (+ (* (* (+ (* N N) N) (- N (* N N))) (/ 1 (- N (* N N)))) 1)) (+ (* (* (+ (* N N) N) (- N (* N N))) (/ 1 (- N (* N N)))) 1) (* (+ (* N N) N) (- N (* N N))) (- N (* N N)) (/ 1 (- N (* N N))))
2.0ms
N
@inf
((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (- N -1) N) 1)) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (- (- N -1) N) (+ 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 N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1))) (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1)) (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* N N) N) (+ (* (- N -1) N) -1) (atan2 (- (- N -1) N) (+ (* (* (+ (* N N) N) (- N (* N N))) (/ 1 (- N (* N N)))) 1)) (+ (* (* (+ (* N N) N) (- N (* N N))) (/ 1 (- N (* N N)))) 1) (* (+ (* N N) N) (- N (* N N))) (- N (* N N)) (/ 1 (- N (* N N))))

rewrite304.0ms (10.4%)

Memory
-11.1MiB live, 274.8MiB allocated; 57ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02031168
0246959
11361867
08679860
Stop Event
iter-limit
node-limit
iter-limit
Counts
74 → 1 180
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) 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) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(+.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 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))
(fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64))
(fma.f64 N N N)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (*.f64 (fma.f64 N N N) (-.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) (-.f64 N (*.f64 N N))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 N N N) (-.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) (-.f64 N (*.f64 N N))) #s(literal 1 binary64))
(*.f64 (fma.f64 N N N) (-.f64 N (*.f64 N N)))
(-.f64 N (*.f64 N N))
(/.f64 #s(literal 1 binary64) (-.f64 N (*.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) 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 #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) 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) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1))) #s(hole binary64 (atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(hole binary64 -1))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(hole binary64 (- (pow N 2) 1)))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(hole binary64 (- (* (pow N 2) (+ 1 (* 2 N))) 1)))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(hole binary64 (- (* (pow N 2) (+ 1 (* N (+ 2 N)))) 1)))
#s(approx (+ (* N N) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (- N 1)))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (- (* N (+ 1 N)) 1)))
#s(approx (* (+ (* N N) N) (- N (* N N))) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (pow N 2))))))
#s(approx (- N (* N N)) #s(hole binary64 (* N (+ 1 (* -1 N)))))
#s(approx (/ 1 (- N (* N N))) #s(hole binary64 (/ (+ 1 (* N (+ 1 N))) N)))
#s(approx (/ 1 (- N (* N N))) #s(hole binary64 (/ (+ 1 (* N (+ 1 (* N (+ 1 N))))) N)))
#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 (+ 1 (/ 1 N)))))
#s(approx (+ (* N N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 (pow N 2))))))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1))) #s(hole binary64 (atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(hole binary64 (pow N 4)))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(hole binary64 (* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(hole binary64 (* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))) (/ 1 (pow N 4))))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 N)) (/ 1 (pow N 2))))))
#s(approx (* (+ (* N N) N) (- N (* N N))) #s(hole binary64 (* -1 (pow N 4))))
#s(approx (* (+ (* N N) N) (- N (* N N))) #s(hole binary64 (* (pow N 4) (- (/ 1 (pow N 2)) 1))))
#s(approx (- N (* N N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- N (* N N)) #s(hole binary64 (* (pow N 2) (- (/ 1 N) 1))))
#s(approx (/ 1 (- N (* N N))) #s(hole binary64 (/ -1 (pow N 2))))
#s(approx (/ 1 (- N (* N N))) #s(hole binary64 (* -1 (/ (+ 1 (/ 1 N)) (pow N 2)))))
#s(approx (/ 1 (- N (* N N))) #s(hole binary64 (/ (- (* -1 (/ (+ 1 (/ 1 N)) N)) 1) (pow N 2))))
#s(approx (/ 1 (- N (* N N))) #s(hole binary64 (/ (- (* -1 (/ (+ 1 (/ 1 N)) (pow N 2))) (+ 1 (/ 1 N))) (pow N 2))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (- N -1) N) -1))) #s(hole binary64 (atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(hole binary64 (* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 2) N))))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- (/ 1 N) 1) N))))))
#s(approx (/ 1 (- N (* N N))) #s(hole binary64 (/ (- (* -1 (/ (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))) N)) 1) (pow N 2))))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(literal 1 binary64)
(*.f64 (*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (fma.f64 N N N))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(*.f64 (*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))))
(*.f64 (fma.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 N N N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) #s(literal 1 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (*.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(*.f64 (fma.f64 (*.f64 N N) N (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 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 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (neg.f64 N) (*.f64 N N))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N (*.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))))))
(*.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))) (-.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (*.f64 (*.f64 N N) (*.f64 N N))) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 N) (-.f64 N #s(literal -1 binary64))) (*.f64 (neg.f64 N) (-.f64 N #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) (-.f64 N #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 N N)) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) (*.f64 (neg.f64 (*.f64 N N)) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 N N)) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))))))
(/.f64 (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)) (pow.f64 (neg.f64 (neg.f64 N)) #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)) (neg.f64 (neg.f64 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)) (pow.f64 (*.f64 #s(literal 1 binary64) N) #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)) (*.f64 #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 (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (-.f64 N #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))) (fma.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N) (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 N) (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 N) (-.f64 N #s(literal -1 binary64))) (*.f64 (neg.f64 N) (-.f64 N #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) (-.f64 N #s(literal -1 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fma.f64 N N N)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 N N N))))))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) (pow.f64 (-.f64 #s(literal -1 binary64) (*.f64 N N)) #s(literal 3 binary64))) (fma.f64 N N (fma.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)) (*.f64 N (-.f64 #s(literal -1 binary64) (*.f64 N N))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 N N)) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 N N)) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) (*.f64 (neg.f64 (*.f64 N N)) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 N N)) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 N (*.f64 N N)) (fma.f64 N N N)) #s(literal 1 binary64)) #s(literal 2 binary64) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 N (*.f64 N N)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (-.f64 N (*.f64 N N)) (fma.f64 N N N)) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 N (*.f64 N N))))
(/.f64 (fma.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) (*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.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))))
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N N)) #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 N N) N) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 N N) N) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (-.f64 N (*.f64 N N)) (fma.f64 N N N)) #s(literal 2 binary64) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N) (*.f64 (*.f64 N N) N)) #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 N N) (*.f64 N N) (-.f64 (*.f64 N N) (*.f64 (*.f64 N N) N))) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 N N) (*.f64 N N) (-.f64 (*.f64 N N) (*.f64 (*.f64 N N) N))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 (*.f64 N N) N (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))) #s(literal 2 binary64) (*.f64 (fma.f64 N N (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 (*.f64 N N) N))) #s(literal 2 binary64))) (*.f64 (fma.f64 N N (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 (*.f64 N N) N))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N) (*.f64 (*.f64 N N) N)) #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 N N) (*.f64 N N) (fma.f64 N N (*.f64 (neg.f64 N) (*.f64 N N)))) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 N N) (*.f64 N N) (fma.f64 N N (*.f64 (neg.f64 N) (*.f64 N N)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 (*.f64 N N) N) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 N N) N) (fma.f64 N N N)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 N N) N)))
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 N (*.f64 N N)) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 N (*.f64 N N)) (fma.f64 N N N)))) (*.f64 #s(literal 2 binary64) (-.f64 N (*.f64 N N))))
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(-.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))
(*.f64 (*.f64 (-.f64 N (*.f64 N N)) (fma.f64 N N N)) (/.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(*.f64 (-.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (fma.f64 (*.f64 N N) (*.f64 N N) (*.f64 (*.f64 N N) N)))))
(/.f64 (fma.f64 (*.f64 N N) N (pow.f64 (*.f64 (neg.f64 N) N) #s(literal 3 binary64))) (fma.f64 N N (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N (*.f64 (neg.f64 N) N)))))
(/.f64 (fma.f64 (*.f64 N N) N (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (neg.f64 (*.f64 N N)))) (fma.f64 N N (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N (neg.f64 (*.f64 N N))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N)))) (neg.f64 (fma.f64 N N (fma.f64 (*.f64 N N) (*.f64 N N) (*.f64 (*.f64 N N) N)))))
(/.f64 (neg.f64 (*.f64 (-.f64 N (*.f64 N N)) (fma.f64 N N N))) (neg.f64 (fma.f64 N N N)))
(/.f64 (*.f64 (-.f64 N (*.f64 N N)) (fma.f64 N N N)) (-.f64 N (*.f64 (neg.f64 N) N)))
(/.f64 (*.f64 (-.f64 N (*.f64 N N)) (fma.f64 N N N)) (fma.f64 N N N))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N))) (fma.f64 N N (fma.f64 (*.f64 N N) (*.f64 N N) (*.f64 (*.f64 N N) N))))
(neg.f64 (-.f64 (*.f64 N N) N))
(-.f64 (/.f64 (*.f64 N N) (fma.f64 N N N)) (/.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (fma.f64 N N N)))
(-.f64 (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 N N (fma.f64 (*.f64 N N) (*.f64 N N) (*.f64 (*.f64 N N) N)))) (/.f64 (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N)) (fma.f64 N N (fma.f64 (*.f64 N N) (*.f64 N N) (*.f64 (*.f64 N N) N)))))
(-.f64 N (neg.f64 (*.f64 (neg.f64 N) N)))
(-.f64 N (neg.f64 (neg.f64 (*.f64 N N))))
(-.f64 N (*.f64 N N))
(+.f64 N (*.f64 (neg.f64 N) N))
(+.f64 N (neg.f64 (*.f64 N N)))
(*.f64 (pow.f64 (-.f64 N (*.f64 N N)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 N (*.f64 N N)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 N (*.f64 N N))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 N (*.f64 N N)))))
(pow.f64 (-.f64 N (*.f64 N N)) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 N (*.f64 N N)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 N (*.f64 N N))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 N (*.f64 N N)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 N (*.f64 N N)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 N (*.f64 N N)))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 N N) N))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 N (*.f64 N N))))
(exp.f64 (*.f64 (log.f64 (-.f64 N (*.f64 N N))) #s(literal -1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (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) #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 N)
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (* N N) 1) (fma.f64 N N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (- (/ 1 N) -1) (/.f64 #s(literal 1 binary64) N))
#s(approx (- (/ 1 N) -1) (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (* N N) (*.f64 N N))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) #s(literal -1 binary64))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (fma.f64 N N #s(literal -1 binary64)))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (*.f64 N N) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (fma.f64 (fma.f64 (-.f64 N #s(literal -2 binary64)) N #s(literal 1 binary64)) (*.f64 N N) #s(literal -1 binary64)))
#s(approx (+ (* N N) N) (fma.f64 N N N))
#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 N) N) (- N (* N N))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N)))
#s(approx (- N (* N N)) (*.f64 (-.f64 #s(literal 1 binary64) N) N))
#s(approx (/ 1 (- N (* N N))) (+.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) N))
#s(approx (/ 1 (- N (* N N))) (/.f64 (fma.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) N #s(literal 1 binary64)) N))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))
#s(approx (+ (* (- N -1) N) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) #s(literal -1 binary64)) (*.f64 N N)))
#s(approx (- N -1) (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)))
#s(approx (+ (* N N) 1) (fma.f64 N N #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 (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (*.f64 (*.f64 N N) (*.f64 N N)))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 (/.f64 #s(literal 2 binary64) N) #s(literal -1 binary64))))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal -1 binary64))))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) (*.f64 N N)))) (*.f64 (*.f64 N N) (*.f64 N 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 N) N) (- N (* N N))) (neg.f64 (*.f64 (*.f64 N N) (*.f64 N N))))
#s(approx (* (+ (* N N) N) (- N (* N N))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (*.f64 (*.f64 N N) (*.f64 N N))))
#s(approx (- N (* N N)) (neg.f64 (*.f64 N N)))
#s(approx (- N (* N N)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (/ 1 (- N (* N N))) (/.f64 #s(literal -1 binary64) (*.f64 N N)))
#s(approx (/ 1 (- N (* N N))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N))))
#s(approx (/ 1 (- N (* N N))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)) (*.f64 N N)))
#s(approx (/ 1 (- N (* N N))) (/.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N)) (*.f64 N N)))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (*.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N))) N)) #s(literal 2 binary64)) N)) #s(literal -1 binary64))))
#s(approx (+ (* (- N -1) N) -1) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N)) #s(literal -1 binary64)) (*.f64 N N)))
#s(approx (/ 1 (- N (* N N))) (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) #s(literal -1 binary64)) N)) #s(literal 1 binary64)) (*.f64 N N)))

eval140.0ms (4.8%)

Memory
30.8MiB live, 262.0MiB allocated; 61ms collecting garbage
Compiler

Compiled 11 763 to 3 585 computations (69.5% saved)

prune25.0ms (0.8%)

Memory
8.6MiB live, 54.5MiB allocated; 3ms collecting garbage
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New96313976
Fresh202
Picked415
Done101
Total97014984
Accuracy
99.8%
Counts
984 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.8%
(atan2.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (+.f64 (-.f64 N #s(literal -1 binary64)) N)) (/.f64 (*.f64 N N) (+.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
49.3%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 N N) (*.f64 N N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) N)))
78.4%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) N)))
99.5%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64))))
99.4%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (neg.f64 N)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N)))))) N #s(literal 1 binary64))))
99.6%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64))))
99.7%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
99.4%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) N #s(literal 1 binary64))))
99.7%
#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)))
78.4%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))))
96.5%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))))
7.8%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64)))))
99.6%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) #s(literal -1 binary64)) (*.f64 N N)))))
6.3%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))))
Compiler

Compiled 515 to 438 computations (15% saved)

series11.0ms (0.4%)

Memory
11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
Counts
30 → 50
Calls
Call 1
Inputs
#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)))
(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
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (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)
#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 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) N))
(fma.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) N)
(fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64)))
(fma.f64 N N #s(literal -1 binary64))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 N N) (*.f64 N N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 N N) (*.f64 N N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) N))
(fma.f64 (fma.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 N N) (*.f64 N N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) N)
(fma.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N) #s(literal 1 binary64))
(*.f64 (*.f64 N N) N)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 N N) (*.f64 N N) (-.f64 #s(literal 1 binary64) (*.f64 N N))))
(fma.f64 (*.f64 N N) (*.f64 N N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))
(-.f64 #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 (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 (pow N 2))))
#s(approx N #s(hole binary64 N))
#s(approx (atan2 1 (+ (* (- (/ 1 N) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* (pow N 2) (+ 1 (/ 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 (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 1 (+ (* (+ (* (* N N) (* N N)) -1) (/ 1 (+ (* N N) -1))) N)) #s(hole binary64 (atan2 1 (- (+ N (/ (pow N 4) (- (pow N 2) 1))) (/ 1 (- (pow N 2) 1))))))
#s(approx (+ (* (* N N) (* N N)) -1) #s(hole binary64 -1))
#s(approx (+ (* (* N N) (* N N)) -1) #s(hole binary64 (- (pow N 4) 1)))
#s(approx (/ 1 (+ (* N N) -1)) #s(hole binary64 (- (* -1 (pow N 2)) 1)))
#s(approx (/ 1 (+ (* N N) -1)) #s(hole binary64 (- (* (pow N 2) (- (* -1 (pow N 2)) 1)) 1)))
#s(approx (/ 1 (+ (* N N) -1)) #s(hole binary64 (- (* (pow N 2) (- (* (pow N 2) (- (* -1 (pow N 2)) 1)) 1)) 1)))
#s(approx (+ (* N N) -1) #s(hole binary64 (- (pow N 2) 1)))
#s(approx (atan2 1 (+ (* (+ (* (* (* N N) N) (* (* N N) N)) 1) (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N))))) N)) #s(hole binary64 (atan2 1 (+ N (+ (/ 1 (- (+ 1 (pow N 4)) (pow N 2))) (/ (pow N 6) (- (+ 1 (pow N 4)) (pow N 2))))))))
#s(approx (+ (* (* (* N N) N) (* (* N N) N)) 1) #s(hole binary64 (+ 1 (pow N 6))))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N)))) #s(hole binary64 (+ 1 (* (pow N 2) (+ 1 (* -1 (pow N 4)))))))
#s(approx (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N)))) #s(hole binary64 (+ 1 (* (pow N 2) (+ 1 (* (pow N 4) (- (* -1 (pow N 2)) 1)))))))
#s(approx (+ (* (* N N) (* N N)) (- 1 (* N N))) #s(hole binary64 (+ 1 (* -1 (pow N 2)))))
#s(approx (+ (* (* N N) (* N N)) (- 1 (* N N))) #s(hole binary64 (+ 1 (* (pow N 2) (- (pow N 2) 1)))))
#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) (+ 1 (/ 1 (pow N 2))))))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (+ (* (* N N) (* N N)) -1) #s(hole binary64 (pow N 4)))
#s(approx (+ (* (* N N) (* N N)) -1) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 (pow N 4))))))
#s(approx (/ 1 (+ (* N N) -1)) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (/ 1 (+ (* N N) -1)) #s(hole binary64 (/ (+ 1 (/ 1 (pow N 2))) (pow N 2))))
#s(approx (/ 1 (+ (* N N) -1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 (pow N 2)) (/ 1 (pow N 4)))) (pow N 2))))
#s(approx (/ 1 (+ (* N N) -1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 (pow N 2)) (+ (/ 1 (pow N 4)) (/ 1 (pow N 6))))) (pow N 2))))
#s(approx (+ (* N N) -1) #s(hole binary64 (* (pow N 2) (- 1 (/ 1 (pow N 2))))))
#s(approx (+ (* (* (* N N) N) (* (* N N) N)) 1) #s(hole binary64 (pow N 6)))
#s(approx (+ (* (* (* N N) N) (* (* N N) N)) 1) #s(hole binary64 (* (pow N 6) (+ 1 (/ 1 (pow N 6))))))
#s(approx (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N)))) #s(hole binary64 (/ 1 (pow N 4))))
#s(approx (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N)))) #s(hole binary64 (/ (+ 1 (/ 1 (pow N 2))) (pow N 4))))
#s(approx (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N)))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow N 2))) (/ 1 (pow N 6))) (pow N 4))))
#s(approx (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N)))) #s(hole binary64 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 (pow N 2))) (pow N 6))) (/ 1 (pow N 2)))) (pow N 4))))
#s(approx (+ (* (* N N) (* N N)) (- 1 (* N N))) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 (pow N 2))))))
#s(approx (+ (* (* N N) (* N N)) (- 1 (* N N))) #s(hole binary64 (* (pow N 4) (- (+ 1 (/ 1 (pow N 4))) (/ 1 (pow N 2))))))
#s(approx (- 1 (* N N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- 1 (* N N)) #s(hole binary64 (* (pow N 2) (- (/ 1 (pow N 2)) 1))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 1 (+ (+ (* N N) 1) N)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 1 (+ (* (+ (* (* N N) (* N N)) -1) (/ 1 (+ (* N N) -1))) N)) #s(hole binary64 (atan2 1 (- (/ (pow N 4) (- (pow N 2) 1)) (+ (* -1 N) (/ 1 (- (pow N 2) 1)))))))
#s(approx (atan2 1 (+ (* (+ (* (* (* N N) N) (* (* N N) N)) 1) (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N))))) N)) #s(hole binary64 (atan2 1 (- (+ (/ 1 (- (+ 1 (pow N 4)) (pow N 2))) (/ (pow N 6) (- (+ 1 (pow N 4)) (pow N 2)))) (* -1 N)))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
N
@-inf
((atan2 (- (- N -1) N) (+ (* (- N -1) 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)) (atan2 1 (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (- (/ 1 N) -1) (* N N)) 1)) (+ (* (- (/ 1 N) -1) (* N N)) 1) (- (/ 1 N) -1) (/ 1 N) -1 (* N N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (+ (* (* N N) (* N N)) -1) (/ 1 (+ (* N N) -1))) N)) (+ (* (+ (* (* N N) (* N N)) -1) (/ 1 (+ (* N N) -1))) N) (+ (* (* N N) (* N N)) -1) (/ 1 (+ (* N N) -1)) (+ (* N N) -1) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (+ (* (* (* N N) N) (* (* N N) N)) 1) (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N))))) N)) (+ (* (+ (* (* (* N N) N) (* (* N N) N)) 1) (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N))))) N) (+ (* (* (* N N) N) (* (* N N) N)) 1) (* (* N N) N) (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N)))) (+ (* (* N N) (* N N)) (- 1 (* N N))) (- 1 (* N N)))
3.0ms
N
@inf
((atan2 (- (- N -1) N) (+ (* (- N -1) 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)) (atan2 1 (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (- (/ 1 N) -1) (* N N)) 1)) (+ (* (- (/ 1 N) -1) (* N N)) 1) (- (/ 1 N) -1) (/ 1 N) -1 (* N N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (+ (* (* N N) (* N N)) -1) (/ 1 (+ (* N N) -1))) N)) (+ (* (+ (* (* N N) (* N N)) -1) (/ 1 (+ (* N N) -1))) N) (+ (* (* N N) (* N N)) -1) (/ 1 (+ (* N N) -1)) (+ (* N N) -1) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (+ (* (* (* N N) N) (* (* N N) N)) 1) (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N))))) N)) (+ (* (+ (* (* (* N N) N) (* (* N N) N)) 1) (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N))))) N) (+ (* (* (* N N) N) (* (* N N) N)) 1) (* (* N N) N) (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N)))) (+ (* (* N N) (* N N)) (- 1 (* N N))) (- 1 (* N N)))
2.0ms
N
@0
((atan2 (- (- N -1) N) (+ (* (- N -1) 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)) (atan2 1 (+ (* (- N -1) N) 1)) (+ (* (- N -1) N) 1) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (- (/ 1 N) -1) (* N N)) 1)) (+ (* (- (/ 1 N) -1) (* N N)) 1) (- (/ 1 N) -1) (/ 1 N) -1 (* N N) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (+ (* (* N N) (* N N)) -1) (/ 1 (+ (* N N) -1))) N)) (+ (* (+ (* (* N N) (* N N)) -1) (/ 1 (+ (* N N) -1))) N) (+ (* (* N N) (* N N)) -1) (/ 1 (+ (* N N) -1)) (+ (* N N) -1) (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (+ (* (* (* N N) N) (* (* N N) N)) 1) (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N))))) N)) (+ (* (+ (* (* (* N N) N) (* (* N N) N)) 1) (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N))))) N) (+ (* (* (* N N) N) (* (* N N) N)) 1) (* (* N N) N) (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N)))) (+ (* (* N N) (* N N)) (- 1 (* N N))) (- 1 (* N N)))

rewrite196.0ms (6.7%)

Memory
23.6MiB live, 242.8MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02111433
02561096
11429990
08416968
Stop Event
iter-limit
node-limit
iter-limit
Counts
80 → 680
Calls
Call 1
Inputs
#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)))
(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
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (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)
#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 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) N))
(fma.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) N)
(fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64)))
(fma.f64 N N #s(literal -1 binary64))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 N N) (*.f64 N N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 N N) (*.f64 N N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) N))
(fma.f64 (fma.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 N N) (*.f64 N N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) N)
(fma.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N) #s(literal 1 binary64))
(*.f64 (*.f64 N N) N)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 N N) (*.f64 N N) (-.f64 #s(literal 1 binary64) (*.f64 N N))))
(fma.f64 (*.f64 N N) (*.f64 N N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))
(-.f64 #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 (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 (pow N 2))))
#s(approx N #s(hole binary64 N))
#s(approx (atan2 1 (+ (* (- (/ 1 N) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* (pow N 2) (+ 1 (/ 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 (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 1 (+ (* (+ (* (* N N) (* N N)) -1) (/ 1 (+ (* N N) -1))) N)) #s(hole binary64 (atan2 1 (- (+ N (/ (pow N 4) (- (pow N 2) 1))) (/ 1 (- (pow N 2) 1))))))
#s(approx (+ (* (* N N) (* N N)) -1) #s(hole binary64 -1))
#s(approx (+ (* (* N N) (* N N)) -1) #s(hole binary64 (- (pow N 4) 1)))
#s(approx (/ 1 (+ (* N N) -1)) #s(hole binary64 (- (* -1 (pow N 2)) 1)))
#s(approx (/ 1 (+ (* N N) -1)) #s(hole binary64 (- (* (pow N 2) (- (* -1 (pow N 2)) 1)) 1)))
#s(approx (/ 1 (+ (* N N) -1)) #s(hole binary64 (- (* (pow N 2) (- (* (pow N 2) (- (* -1 (pow N 2)) 1)) 1)) 1)))
#s(approx (+ (* N N) -1) #s(hole binary64 (- (pow N 2) 1)))
#s(approx (atan2 1 (+ (* (+ (* (* (* N N) N) (* (* N N) N)) 1) (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N))))) N)) #s(hole binary64 (atan2 1 (+ N (+ (/ 1 (- (+ 1 (pow N 4)) (pow N 2))) (/ (pow N 6) (- (+ 1 (pow N 4)) (pow N 2))))))))
#s(approx (+ (* (* (* N N) N) (* (* N N) N)) 1) #s(hole binary64 (+ 1 (pow N 6))))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N)))) #s(hole binary64 (+ 1 (* (pow N 2) (+ 1 (* -1 (pow N 4)))))))
#s(approx (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N)))) #s(hole binary64 (+ 1 (* (pow N 2) (+ 1 (* (pow N 4) (- (* -1 (pow N 2)) 1)))))))
#s(approx (+ (* (* N N) (* N N)) (- 1 (* N N))) #s(hole binary64 (+ 1 (* -1 (pow N 2)))))
#s(approx (+ (* (* N N) (* N N)) (- 1 (* N N))) #s(hole binary64 (+ 1 (* (pow N 2) (- (pow N 2) 1)))))
#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) (+ 1 (/ 1 (pow N 2))))))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (+ (* (* N N) (* N N)) -1) #s(hole binary64 (pow N 4)))
#s(approx (+ (* (* N N) (* N N)) -1) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 (pow N 4))))))
#s(approx (/ 1 (+ (* N N) -1)) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (/ 1 (+ (* N N) -1)) #s(hole binary64 (/ (+ 1 (/ 1 (pow N 2))) (pow N 2))))
#s(approx (/ 1 (+ (* N N) -1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 (pow N 2)) (/ 1 (pow N 4)))) (pow N 2))))
#s(approx (/ 1 (+ (* N N) -1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 (pow N 2)) (+ (/ 1 (pow N 4)) (/ 1 (pow N 6))))) (pow N 2))))
#s(approx (+ (* N N) -1) #s(hole binary64 (* (pow N 2) (- 1 (/ 1 (pow N 2))))))
#s(approx (+ (* (* (* N N) N) (* (* N N) N)) 1) #s(hole binary64 (pow N 6)))
#s(approx (+ (* (* (* N N) N) (* (* N N) N)) 1) #s(hole binary64 (* (pow N 6) (+ 1 (/ 1 (pow N 6))))))
#s(approx (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N)))) #s(hole binary64 (/ 1 (pow N 4))))
#s(approx (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N)))) #s(hole binary64 (/ (+ 1 (/ 1 (pow N 2))) (pow N 4))))
#s(approx (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N)))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow N 2))) (/ 1 (pow N 6))) (pow N 4))))
#s(approx (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N)))) #s(hole binary64 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 (pow N 2))) (pow N 6))) (/ 1 (pow N 2)))) (pow N 4))))
#s(approx (+ (* (* N N) (* N N)) (- 1 (* N N))) #s(hole binary64 (* (pow N 4) (- 1 (/ 1 (pow N 2))))))
#s(approx (+ (* (* N N) (* N N)) (- 1 (* N N))) #s(hole binary64 (* (pow N 4) (- (+ 1 (/ 1 (pow N 4))) (/ 1 (pow N 2))))))
#s(approx (- 1 (* N N)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (- 1 (* N N)) #s(hole binary64 (* (pow N 2) (- (/ 1 (pow N 2)) 1))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 1 (+ (+ (* N N) 1) N)) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 1 (+ (* (+ (* (* N N) (* N N)) -1) (/ 1 (+ (* N N) -1))) N)) #s(hole binary64 (atan2 1 (- (/ (pow N 4) (- (pow N 2) 1)) (+ (* -1 N) (/ 1 (- (pow N 2) 1)))))))
#s(approx (atan2 1 (+ (* (+ (* (* (* N N) N) (* (* N N) N)) 1) (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N))))) N)) #s(hole binary64 (atan2 1 (- (+ (/ 1 (- (+ 1 (pow N 4)) (pow N 2))) (/ (pow N 6) (- (+ 1 (pow N 4)) (pow N 2)))) (* -1 N)))))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 N #s(literal -1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 N #s(literal -1 binary64))))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 (+.f64 N (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 #s(literal 1 binary64) (*.f64 N N))))) (+.f64 N (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 #s(literal 1 binary64) (*.f64 N N)))))) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N)) (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 #s(literal 1 binary64) (*.f64 N N)))) #s(literal 2 binary64))) (-.f64 (+.f64 N (/.f64 #s(literal 1 binary64) (fma.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 N N)) (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 #s(literal 1 binary64) (*.f64 N N))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal -2 binary64)) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N)) (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (neg.f64 N)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N)) (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (neg.f64 N)))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N)) (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (neg.f64 N))))
(/.f64 (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 1 binary64) N) (*.f64 #s(literal 1 binary64) N))) (-.f64 (fma.f64 N N #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N))) (-.f64 (*.f64 N N) (-.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 N N) (neg.f64 N)) (-.f64 (*.f64 N N) (neg.f64 N)))) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) (neg.f64 N))))
(/.f64 (-.f64 (*.f64 N N) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))) (+.f64 N (neg.f64 (fma.f64 N N #s(literal 1 binary64)))))
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#s(approx (/ 1 (+ (* N N) -1)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (/ 1 (+ (* N N) -1)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (*.f64 N N)) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (/ 1 (+ (* N N) -1)) (/.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (+ (* N N) -1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 N N)))
#s(approx (+ (* (* (* N N) N) (* (* N N) N)) 1) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N)))
#s(approx (+ (* (* (* N N) N) (* (* N N) N)) 1) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N)) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (pow.f64 N #s(literal -6 binary64))) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N)))) (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N)))) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (+ (* (* N N) (* N N)) (- 1 (* N N))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (+ (* (* N N) (* N N)) (- 1 (* N N))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N N) N) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (- 1 (* N N)) (neg.f64 (*.f64 N N)))
#s(approx (- 1 (* N N)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (atan2 1 (+ (* (+ (* (* N N) (* N N)) -1) (/ 1 (+ (* N N) -1))) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 N #s(literal -1 binary64)))))
#s(approx (atan2 1 (+ (* (+ (* (* N N) (* N N)) -1) (/ 1 (+ (* N N) -1))) N)) (atan2.f64 #s(literal 1 binary64) (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (fma.f64 N N #s(literal -1 binary64))) (neg.f64 N)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))))))
#s(approx (atan2 1 (+ (* (+ (* (* N N) (* N N)) -1) (/ 1 (+ (* N N) -1))) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 N #s(literal -1 binary64)))))

eval111.0ms (3.8%)

Memory
-47.0MiB live, 153.8MiB allocated; 23ms collecting garbage
Compiler

Compiled 8 277 to 2 946 computations (64.4% saved)

prune19.0ms (0.6%)

Memory
27.7MiB live, 27.7MiB allocated; 0ms collecting garbage
Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New5225527
Fresh268
Picked235
Done011
Total52615541
Accuracy
99.8%
Counts
541 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.8%
(atan2.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (+.f64 (-.f64 N #s(literal -1 binary64)) N)) (/.f64 (*.f64 N N) (+.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
46.3%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N) #s(literal 1 binary64)) #s(approx (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N N) N) N))) N)))
75.2%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64)) #s(approx (/ 1 (+ (* N N) -1)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) N)))
99.4%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (neg.f64 N)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N)))))) N #s(literal 1 binary64))))
99.6%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64))))
78.6%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (*.f64 (*.f64 N N) N) N)) #s(literal 1 binary64))))
99.7%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
99.4%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) N #s(literal 1 binary64))))
99.7%
#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)))
78.4%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 N N) N) N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) N)))
78.4%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))))
7.8%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64)))))
96.5%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))))
99.6%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) #s(literal -1 binary64)) (*.f64 N N)))))
6.3%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))))
Compiler

Compiled 553 to 415 computations (25% saved)

regimes29.0ms (1%)

Memory
-39.1MiB live, 14.4MiB allocated; 8ms collecting garbage
Counts
30 → 1
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))))
(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N) #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)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (*.f64 (*.f64 N N) N) N)) #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 N N) N) N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64)) #s(approx (/ 1 (+ (* N N) -1)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (*.f64 (fma.f64 N N N) (-.f64 N (*.f64 N N))) (/.f64 #s(literal 1 binary64) (-.f64 N (*.f64 N N))) #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N) #s(literal 1 binary64)) #s(approx (/ 1 (+ (* (* N N) (* N N)) (- 1 (* N N)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N N) N) N))) N)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 N N) (*.f64 N N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (neg.f64 N)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 N)))))) N #s(literal 1 binary64))))
(atan2.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N)) (+.f64 (-.f64 N #s(literal -1 binary64)) N)) (/.f64 (*.f64 N N) (+.f64 (-.f64 N #s(literal -1 binary64)) N))) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) 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 (-.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal -1 binary64) N))) (atan.f64 N) (*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N)))))
(/.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))))))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
Calls

2 calls:

7.0ms
N
5.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
99.7%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
99.7%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))))
(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))))
Calls

2 calls:

2.0ms
N
1.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
96.5%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
96.5%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (+ (* N N) 1) N) (-.f64 N #s(literal -1 binary64)))))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (-.f64 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
7.8%1N
7.8%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
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
N
1.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
6.3%1N
6.3%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 7 to 7 computations (0% saved)

derivations128.0ms (4.4%)

Memory
-4.9MiB live, 128.0MiB allocated; 13ms collecting garbage
Stop Event
fuel
Compiler

Compiled 35 to 24 computations (31.4% saved)

preprocess42.0ms (1.4%)

Memory
26.9MiB live, 86.8MiB allocated; 22ms collecting garbage
Compiler

Compiled 57 to 42 computations (26.3% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...