2atan (example 3.5)

Time bar (total: 6.1s)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory
2.4MiB live, 2.4MiB 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 (24.6%)

Memory
42.9MiB live, 1 822.1MiB allocated; 411ms collecting garbage
Samples
1.1s7 275×1valid
129.0ms797×2valid
11.0ms184×0valid
Precisions
Click to see histograms. Total time spent on operations: 982.0ms
ival-atan: 471.0ms (47.9% of total)
adjust: 327.0ms (33.3% of total)
ival-add!: 143.0ms (14.6% of total)
ival-sub!: 41.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

preprocess50.0ms (0.8%)

Memory
-20.5MiB live, 68.7MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01225
13722
211021
332521
4166121
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.7%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 14 to 12 computations (14.3% saved)

series4.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02683
Stop Event
iter-limit
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)) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
#s(approx (atan (+ N 1)) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
#s(approx (+ N 1) #s(literal 1 binary64))
#s(approx (+ N 1) (+.f64 #s(literal 1 binary64) N))
#s(approx N N)
#s(approx (atan N) (atan.f64 N))
#s(approx (+ N 1) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
#s(approx (- (atan (+ N 1)) (atan N)) (-.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))) (atan.f64 N)))
#s(approx (atan (+ N 1)) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))
Calls

3 calls:

TimeVariablePoint
1.0ms
N
-inf
0.0ms
N
inf
0.0ms
N
0

rewrite424.0ms (6.9%)

Memory
4.5MiB live, 347.5MiB allocated; 148ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
01018
12518
26318
319518
4118518
0433318
01767018
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
6 → 247
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
(atan2.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 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (neg.f64 (atan.f64 N)))) (neg.f64 (atan.f64 N)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) (atan.f64 (-.f64 N #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (atan.f64 N)))) (neg.f64 (atan.f64 N)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (atan.f64 N)) (atan.f64 (-.f64 N #s(literal -1 binary64))))) (atan.f64 (-.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N)) (fma.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N)) (*.f64 (neg.f64 (atan.f64 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 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64))) (fma.f64 (atan.f64 N) (atan.f64 N) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N)) (-.f64 (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (neg.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 (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 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N))) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (atan.f64 N))))))
(/.f64 (-.f64 (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N))) (*.f64 (atan.f64 (-.f64 #s(literal -1 binary64) N)) (atan.f64 (-.f64 #s(literal -1 binary64) N)))) (+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (-.f64 #s(literal -1 binary64) N))))
(/.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 N))) (+.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
(/.f64 (-.f64 (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N))) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64))))) (-.f64 (neg.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 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N)))) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (neg.f64 (atan.f64 N))))
(neg.f64 (atan2.f64 #s(literal -1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(-.f64 (neg.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 (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 #s(literal -1 binary64) N)))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 N (+.f64 N (-.f64 N #s(literal -1 binary64))))) (+.f64 N (-.f64 N #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 N (+.f64 (-.f64 N #s(literal -1 binary64)) N))) (+.f64 (-.f64 N #s(literal -1 binary64)) N))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal 1 binary64)) (+.f64 N N))) (+.f64 N N))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64)))) (-.f64 N #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 N) #s(literal 0 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) N)) N)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 N #s(literal 1/2 binary64)))) (+.f64 N #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 N) (+.f64 N (-.f64 N #s(literal -1 binary64))))) (+.f64 N (-.f64 N #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 N) (+.f64 (-.f64 N #s(literal -1 binary64)) N))) (+.f64 (-.f64 N #s(literal -1 binary64)) N))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (+.f64 N N))) (+.f64 N N))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 N)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) N) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 N)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 N N) (-.f64 #s(literal 1 binary64) N))) (-.f64 #s(literal 1 binary64) N))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) (neg.f64 N))) (neg.f64 N))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64)))) (-.f64 N #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 N (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (+.f64 N (-.f64 N #s(literal -1 binary64))) (+.f64 N (-.f64 N #s(literal -1 binary64))) (fma.f64 N N (*.f64 (+.f64 N (-.f64 N #s(literal -1 binary64))) N))))
(/.f64 (-.f64 (pow.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (pow.f64 N #s(literal 3 binary64))) (fma.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 N N (*.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) N))))
(/.f64 (-.f64 (pow.f64 (+.f64 N N) #s(literal 3 binary64)) (pow.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 N N) (+.f64 N N) (fma.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)) (*.f64 (+.f64 N N) (-.f64 N #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) N)))))
(/.f64 (-.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (neg.f64 N) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 N N (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 N) #s(literal 0 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 N N (*.f64 #s(literal 1 binary64) (neg.f64 N)))))
(/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (+.f64 #s(literal 1 binary64) (*.f64 N #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 N #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (+.f64 N #s(literal 1/2 binary64)) (+.f64 N #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 N #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 N (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 N (-.f64 N #s(literal -1 binary64))) (+.f64 N (-.f64 N #s(literal -1 binary64))) (-.f64 (*.f64 N N) (*.f64 (+.f64 N (-.f64 N #s(literal -1 binary64))) (neg.f64 N)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (pow.f64 (neg.f64 N) #s(literal 3 binary64))) (fma.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (*.f64 N N) (*.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) (neg.f64 N)))))
(/.f64 (+.f64 (pow.f64 (+.f64 N N) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 3 binary64))) (fma.f64 (+.f64 N N) (+.f64 N N) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)) (*.f64 (+.f64 N N) (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 N)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 N)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 N)) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 N)) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) N) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) N) (+.f64 #s(literal 1/2 binary64) N)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) N)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 N)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 N)) (-.f64 #s(literal 1/2 binary64) (neg.f64 N))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 N))))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 3 binary64)) (pow.f64 (+.f64 N N) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N) (-.f64 (*.f64 (+.f64 N N) (+.f64 N N)) (*.f64 (-.f64 #s(literal 1 binary64) N) (+.f64 N N)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 N) #s(literal 3 binary64)) (pow.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))) (fma.f64 N N (-.f64 (*.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (neg.f64 N) (+.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (*.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)))
(/.f64 (+.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (*.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 N N) (+.f64 N N)) (*.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) N))
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(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) N) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (+.f64 N N))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) N))) (-.f64 #s(literal 1 binary64) N) (+.f64 N N))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 N))) (neg.f64 N) (+.f64 N N))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 0 binary64))) #s(literal 0 binary64) (+.f64 N N))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 N N) (-.f64 N #s(literal -1 binary64)))) (-.f64 N #s(literal -1 binary64)) (+.f64 N N))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) N) N) #s(literal 1 binary64)) N)) N (+.f64 N N))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) N) N) N)) N (+.f64 N N))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 N) #s(literal 0 binary64))) #s(literal 0 binary64) (+.f64 (-.f64 N #s(literal -1 binary64)) N))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 N N) N)) N (+.f64 (-.f64 N #s(literal -1 binary64)) N))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 N N) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))
(fma.f64 (-.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (+.f64 N N))
(fma.f64 (neg.f64 N) #s(literal 1 binary64) (+.f64 (-.f64 N #s(literal -1 binary64)) N))
(fma.f64 #s(literal 2 binary64) N (-.f64 #s(literal 1 binary64) N))
(fma.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 N #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) N))
(-.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 N (-.f64 N #s(literal -1 binary64))) N)
(-.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) N)
(-.f64 (+.f64 N N) (-.f64 N #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) N))
(-.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (-.f64 (neg.f64 N) #s(literal 0 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 N))
(-.f64 N #s(literal -1 binary64))
(+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 0 binary64))
(+.f64 (+.f64 N #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (+.f64 N (-.f64 N #s(literal -1 binary64))) (neg.f64 N))
(+.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N) (neg.f64 N))
(+.f64 (+.f64 N N) (-.f64 #s(literal 1 binary64) N))
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 N)) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) N))
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 N)))
(+.f64 (-.f64 #s(literal 1 binary64) N) (+.f64 N N))
(+.f64 (neg.f64 N) (+.f64 (-.f64 N #s(literal -1 binary64)) N))
(+.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64)))
(+.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(neg.f64 (atan.f64 (*.f64 N #s(literal -1 binary64))))
(neg.f64 (atan.f64 (*.f64 #s(literal -1 binary64) N)))
(neg.f64 (atan.f64 (-.f64 (neg.f64 N) #s(literal 0 binary64))))
(neg.f64 (neg.f64 (atan.f64 N)))
(atan.f64 N)

eval29.0ms (0.5%)

Memory
9.9MiB live, 54.9MiB allocated; 5ms collecting garbage
Compiler

Compiled 4 177 to 1 124 computations (73.1% saved)

prune6.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New2502252
Fresh000
Picked101
Done000
Total2512253
Accuracy
99.6%
Counts
253 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
1.9%
(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 17 to 14 computations (17.6% saved)

series4.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053201
Stop Event
iter-limit
Counts
10 → 16
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
(atan2.f64 #s(literal 1 binary64) (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 N #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (- (atan (+ N 1)) (atan N)) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
#s(approx (atan (+ N 1)) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
#s(approx (+ N 1) #s(literal 1 binary64))
#s(approx (+ N 1) (+.f64 #s(literal 1 binary64) N))
#s(approx (atan N) (atan.f64 N))
#s(approx N N)
#s(approx (atan2 1 (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
#s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
#s(approx (+ N 1) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
#s(approx (atan2 1 (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))
#s(approx (+ (* (- N -1) N) 1) (pow.f64 N #s(literal 2 binary64)))
#s(approx (+ (* (- N -1) N) 1) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
#s(approx (+ (* (- N -1) N) 1) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))))
#s(approx (- (atan (+ N 1)) (atan N)) (-.f64 (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))) (atan.f64 N)))
#s(approx (atan (+ N 1)) (atan.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))
#s(approx (atan2 1 (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))
Calls

3 calls:

TimeVariablePoint
1.0ms
N
-inf
1.0ms
N
inf
0.0ms
N
0

rewrite400.0ms (6.5%)

Memory
-4.6MiB live, 380.9MiB allocated; 49ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01142
01842
13842
28742
328542
4165542
0410142
01720442
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
10 → 766
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
(atan2.f64 #s(literal 1 binary64) (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 N #s(literal -1 binary64))
#s(literal -1 binary64)
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 #s(literal 1 binary64) (/.f64 (neg.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (neg.f64 (atan.f64 N)))) (neg.f64 (atan.f64 N)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))))) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (neg.f64 (atan.f64 N)))) (neg.f64 (atan.f64 N)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (atan.f64 N)) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))))) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N)) (fma.f64 (neg.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (neg.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (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))) (fma.f64 (atan.f64 N) (atan.f64 N) (*.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N)) (-.f64 (*.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (*.f64 (neg.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 (neg.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 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N))) (*.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (neg.f64 (atan.f64 N))))))
(/.f64 (-.f64 (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N))) (*.f64 (neg.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (neg.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))))) (+.f64 (neg.f64 (atan.f64 N)) (neg.f64 (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 N))) (+.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N)))
(/.f64 (-.f64 (*.f64 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N))) (*.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))))) (-.f64 (neg.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 (neg.f64 (atan.f64 N)) (neg.f64 (atan.f64 N)))) (-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (neg.f64 (atan.f64 N))))
(neg.f64 (-.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))))
(-.f64 (neg.f64 (atan.f64 N)) (neg.f64 (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 (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)))
(neg.f64 (neg.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))))
(atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))
#s(approx (+ N 1) #s(literal 1 binary64))
(neg.f64 (neg.f64 #s(approx (+ N 1) #s(literal 1 binary64))))
#s(literal 1 binary64)
(neg.f64 (atan.f64 (-.f64 #s(literal 0 binary64) N)))
(neg.f64 (atan.f64 (-.f64 (neg.f64 N) #s(literal 0 binary64))))
(neg.f64 (neg.f64 (atan.f64 N)))
(atan.f64 N)
N
(atan2.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 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (+.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (fma.f64 N N N) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (fma.f64 N N N) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 N N N) #s(literal 1 binary64)))) (/.f64 (fma.f64 N N N) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) (/.f64 (*.f64 N N) #s(literal 1 binary64)))) (/.f64 (*.f64 N N) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #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)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 N) (fma.f64 N N #s(literal 1 binary64)))) (fma.f64 N N #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 N N N))) (fma.f64 N N N))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) (*.f64 N N))) (*.f64 N N))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (neg.f64 N) N) #s(literal 1 binary64)) (-.f64 N #s(literal -1 binary64)))) (-.f64 N #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 N) N) (-.f64 N #s(literal -1 binary64)))) (-.f64 N #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) N) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 N N N)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal -1 binary64) N) N)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) N) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 N) N) #s(literal 1 binary64)) #s(literal 1 binary64)) N)) N)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (neg.f64 N) N #s(literal -1 binary64)) #s(literal 1 binary64)) N)) N)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 N N)) #s(literal 1 binary64)) N)) N)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 N) N) #s(literal 1 binary64)) N)) N)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 N) N #s(literal -1 binary64)) N)) N)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 N N)) N)) N)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 (fma.f64 N (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (fma.f64 N (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 N N N) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (fma.f64 N N N) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N N) #s(literal 1 binary64)))) (/.f64 (fma.f64 N N N) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 N N) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 N N) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal -1 binary64)) (/.f64 (*.f64 N N) #s(literal 1 binary64)))) (/.f64 (*.f64 N N) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1/2 binary64)))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (fma.f64 N N #s(literal 1 binary64)))) (fma.f64 N N #s(literal 1 binary64)))
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(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 N #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 (+.f64 N #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 N #s(literal 1/2 binary64)))) (+.f64 N #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) N) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 N)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64)))) (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(-.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) N))
(-.f64 #s(literal 1 binary64) (-.f64 (neg.f64 N) #s(literal 0 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 N))
(-.f64 N #s(literal -1 binary64))
(+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 0 binary64))
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (+.f64 N #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (+.f64 N #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) N) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) N))
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 N)))
(+.f64 #s(literal 0 binary64) (-.f64 N #s(literal -1 binary64)))
(+.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
#s(literal -1 binary64)

eval110.0ms (1.8%)

Memory
-21.8MiB live, 187.3MiB allocated; 38ms collecting garbage
Compiler

Compiled 14 481 to 2 876 computations (80.1% saved)

prune28.0ms (0.5%)

Memory
-9.1MiB live, 39.9MiB allocated; 15ms collecting garbage
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New7657772
Fresh000
Picked022
Done000
Total7659774
Accuracy
99.8%
Counts
774 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N #s(literal 1/2 binary64)) N #s(literal 1 binary64)))
99.4%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
99.5%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))) N #s(literal 1 binary64)))
99.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
82.2%
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
57.0%
(atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #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)))))
99.6%
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
99.6%
(atan2.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N #s(literal 1 binary64)) N)) N))
1.9%
(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 237 to 130 computations (45.1% saved)

series19.0ms (0.3%)

Memory
-9.0MiB live, 36.3MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189933
Stop Event
iter-limit
Counts
27 → 48
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N #s(literal 1 binary64)) N)) N))
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N #s(literal 1 binary64)) N)) N)
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(/.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(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))
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))) N #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))) N #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))
(-.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N #s(literal 1/2 binary64)) N #s(literal 1 binary64)))
(fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N #s(literal 1/2 binary64)) N #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(/.f64 (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N N))
(*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))
(*.f64 N N)
(-.f64 (fma.f64 N N #s(literal 1 binary64)) N)
Outputs
#s(approx (atan2 1 (* (+ 1 (/ (+ (* N N) 1) N)) N)) (atan2.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (+.f64 N (/.f64 #s(literal 1 binary64) N))))))
#s(approx (* (+ 1 (/ (+ (* N N) 1) N)) N) #s(literal 1 binary64))
#s(approx (* (+ 1 (/ (+ (* N N) 1) N)) N) (+.f64 #s(literal 1 binary64) N))
#s(approx (* (+ 1 (/ (+ (* N N) 1) N)) N) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
#s(approx (+ 1 (/ (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (+ 1 (/ (+ (* N N) 1) N)) (/.f64 (+.f64 #s(literal 1 binary64) N) N))
#s(approx (+ 1 (/ (+ (* N N) 1) N)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))) N))
#s(approx (/ (+ (* N N) 1) N) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N))
#s(approx (+ (* N N) 1) (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))
#s(approx N N)
#s(approx (atan2 1 (+ (+ (* N N) 1) N)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))
#s(approx (atan2 1 (+ (* (/ 1 (/ 1 (- N -1))) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
#s(approx (/ 1 (- N -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N)))
#s(approx (/ 1 (- N -1)) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64)))))
#s(approx (/ 1 (- N -1)) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))) #s(literal 1 binary64)))))
#s(approx (atan2 1 (+ (* (+ (* (+ 1 (/ 1/2 N)) N) 1/2) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1/2 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N)))))))))
#s(approx (+ 1 (/ 1/2 N)) (/.f64 #s(literal 1/2 binary64) N))
#s(approx (+ 1 (/ 1/2 N)) (/.f64 (+.f64 #s(literal 1/2 binary64) N) N))
#s(approx (atan2 1 (/ (- (* (+ (* N N) 1) (+ (* N N) 1)) (* N N)) (- (+ (* N N) 1) N))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 N #s(literal 2 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N))))
#s(approx (- (* (+ (* N N) 1) (+ (* N N) 1)) (* N N)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
#s(approx (* (+ (* N N) 1) (+ (* N N) 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 N #s(literal 2 binary64)))))
#s(approx (* (+ (* N N) 1) (+ (* N N) 1)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (pow.f64 N #s(literal 2 binary64))))))
#s(approx (* N N) (pow.f64 N #s(literal 2 binary64)))
#s(approx (* (+ 1 (/ (+ (* N N) 1) N)) N) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
#s(approx (* (+ 1 (/ (+ (* N N) 1) N)) N) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))))
#s(approx (+ 1 (/ (+ (* N N) 1) N)) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
#s(approx (+ 1 (/ (+ (* N N) 1) N)) (*.f64 N (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))))
#s(approx (/ (+ (* N N) 1) N) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
#s(approx (+ (* N N) 1) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
#s(approx (/ 1 (- N -1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N))
#s(approx (/ 1 (- N -1)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) N)) N))
#s(approx (/ 1 (- N -1)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))))) N))
#s(approx (+ 1 (/ 1/2 N)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) N))))
#s(approx (- (* (+ (* N N) 1) (+ (* N N) 1)) (* N N)) (pow.f64 N #s(literal 4 binary64)))
#s(approx (- (* (+ (* N N) 1) (+ (* N N) 1)) (* N N)) (*.f64 (pow.f64 N #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
#s(approx (- (* (+ (* N N) 1) (+ (* N N) 1)) (* N N)) (*.f64 (pow.f64 N #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64)))))))
#s(approx (* (+ (* N N) 1) (+ (* N N) 1)) (*.f64 (pow.f64 N #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))))
#s(approx (* (+ (* N N) 1) (+ (* N N) 1)) (*.f64 (pow.f64 N #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 4 binary64)))))))
#s(approx (- (+ (* N N) 1) N) (*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
#s(approx (- (+ (* N N) 1) N) (*.f64 (pow.f64 N #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) N))))
#s(approx (+ 1 (/ (+ (* N N) 1) N)) (*.f64 #s(literal -1 binary64) (*.f64 N (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)) #s(literal 1 binary64)))))
#s(approx (atan2 1 (+ (+ (* N N) 1) N)) (atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) N))))
#s(approx (atan2 1 (+ (* (/ 1 (/ 1 (- N -1))) N) 1)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) N))))))
#s(approx (/ 1 (- N -1)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N)))
#s(approx (/ 1 (- N -1)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (/ 1 (- N -1)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) N)))
#s(approx (atan2 1 (/ (- (* (+ (* N N) 1) (+ (* N N) 1)) (* N N)) (- (+ (* N N) 1) N))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 N #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) N (pow.f64 N #s(literal 2 binary64)))))))
#s(approx (- (+ (* N N) 1) N) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)))))
Calls

3 calls:

TimeVariablePoint
3.0ms
N
-inf
3.0ms
N
0
2.0ms
N
inf

rewrite918.0ms (15%)

Memory
87.1MiB live, 1 275.0MiB allocated; 247ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027208
053159
1150159
2787159
04502137
016272137
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
27 → 5 889
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N #s(literal 1 binary64)) N)) N))
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N #s(literal 1 binary64)) N)) N)
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(/.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(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))
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))) N #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))) N #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))
(-.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N #s(literal 1/2 binary64)) N #s(literal 1 binary64)))
(fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N #s(literal 1/2 binary64)) N #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N))
(/.f64 #s(literal 1/2 binary64) N)
#s(literal 1/2 binary64)
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(/.f64 (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N N))
(*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))
(*.f64 N N)
(-.f64 (fma.f64 N N #s(literal 1 binary64)) N)
Outputs
(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 #s(literal 1 binary64) (/.f64 (*.f64 N (/.f64 N (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (/.f64 (*.f64 (/.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))) (/.f64 (*.f64 (/.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) (*.f64 N N)) (*.f64 (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (-.f64 N (fma.f64 N N #s(literal 1 binary64))))) (/.f64 (*.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (*.f64 (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (-.f64 N (fma.f64 N N #s(literal 1 binary64))))))) (/.f64 (*.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (*.f64 (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (-.f64 N (fma.f64 N N #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))) (/.f64 (*.f64 N (-.f64 N (*.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))))) (/.f64 (*.f64 N (-.f64 N (*.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.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 N (/.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))))))) (*.f64 N (/.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (/.f64 N (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (/.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))) (/.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 N) (fma.f64 N N (/.f64 N N)))) (fma.f64 N N (/.f64 N N)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 N N N))) (fma.f64 N N N))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) (*.f64 N N))) (*.f64 N N))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 N) N) (-.f64 N #s(literal -1 binary64)))) (-.f64 N #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 N) (fma.f64 N N #s(literal 1 binary64)))) (fma.f64 N N #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 N) (-.f64 N (/.f64 #s(literal -1 binary64) N))) N)) N)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) N) N) N) N)) N)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 N N (/.f64 N N))) N)) N)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))) (*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (*.f64 N N))))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))) (*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (*.f64 N N))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))) (*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (neg.f64 N))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))) (*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))) (*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))) (*.f64 (*.f64 N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))) (*.f64 (*.f64 N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))) (neg.f64 (fma.f64 (fma.f64 N N N) N N))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))) (*.f64 (fma.f64 N N #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 (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))) (-.f64 (fma.f64 N N #s(literal 1 binary64)) (*.f64 N N))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))) (*.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) N) N)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))) (*.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) N) N)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))) (*.f64 (neg.f64 N) N)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))) (*.f64 (neg.f64 N) N)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))) (*.f64 (neg.f64 N) N)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64)))) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64))))) (*.f64 (*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64))))))) (*.f64 (*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (neg.f64 N)) (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64))))) (*.f64 (*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (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 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (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 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64))))) (*.f64 (*.f64 (*.f64 N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64))))))) (*.f64 (*.f64 (*.f64 N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) 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 (*.f64 (neg.f64 (fma.f64 (fma.f64 N N N) N N)) (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64))))) (*.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64))))))) (*.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) 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 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (/.f64 (*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (*.f64 N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))) (/.f64 (*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (*.f64 N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (neg.f64 N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (/.f64 (*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))) (/.f64 (*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (/.f64 (*.f64 (*.f64 N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))) (/.f64 (*.f64 (*.f64 N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
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(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (*.f64 N (/.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))))))) (*.f64 N (/.f64 N (-.f64 N (fma.f64 N N #s(literal 1 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) (*.f64 N N)) (/.f64 #s(literal -1 binary64) (-.f64 N (fma.f64 N N #s(literal 1 binary64))))) (/.f64 (*.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) N) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))) (/.f64 (*.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) N) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
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(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 N N) (fma.f64 N N N))) (fma.f64 N N N))
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(*.f64 (fma.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) (*.f64 (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (*.f64 N N))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 N (fma.f64 N N #s(literal 1 binary64))) (-.f64 N (fma.f64 N N #s(literal 1 binary64))))))
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(-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) N)))
(+.f64 (*.f64 N (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 (neg.f64 N) (fma.f64 N N #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N))
(+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))
(+.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 N (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 N (-.f64 N #s(literal 1 binary64))))

eval1.2s (20.1%)

Memory
-128.2MiB live, 1 033.9MiB allocated; 1.0s collecting garbage
Compiler

Compiled 101 540 to 13 489 computations (86.7% saved)

prune65.0ms (1.1%)

Memory
19.7MiB live, 161.2MiB allocated; 17ms collecting garbage
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New3 154123 166
Fresh202
Picked325
Done112
Total3 160153 175
Accuracy
99.9%
Counts
3 175 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (-.f64 N #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) N)) N #s(literal 1/2 binary64)) N #s(literal 1 binary64)))
99.5%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))) N #s(literal 1 binary64)))
99.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N (/.f64 #s(literal -1 binary64) N)) N N))
99.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
99.6%
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) N N) N))
99.5%
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64))) N) (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))))
78.9%
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* (+ (* N N) 1) (+ (* N N) 1)) (* N N)) (pow.f64 N #s(literal 4 binary64))) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
99.5%
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64))) (-.f64 N (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))))))
99.5%
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 N (fma.f64 (fma.f64 N N N) N N))))
99.6%
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
99.6%
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64)))) N))
99.4%
(atan2.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 N N N) N N) (/.f64 #s(literal 1 binary64) N)))
99.2%
(atan2.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) (/.f64 (-.f64 N #s(literal -1 binary64)) N)) N))
8.1%
(atan2.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (/ (+ (* N N) 1) N)) N) (+.f64 #s(literal 1 binary64) N)))
6.6%
(atan2.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (/ (+ (* N N) 1) N)) N) #s(literal 1 binary64)))
Compiler

Compiled 388 to 231 computations (40.5% saved)

series14.0ms (0.2%)

Memory
-16.2MiB live, 28.8MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0153784
Stop Event
iter-limit
Counts
22 → 41
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N (/.f64 #s(literal -1 binary64) N)) N N))
#s(literal 1 binary64)
(fma.f64 (-.f64 N (/.f64 #s(literal -1 binary64) N)) N N)
(-.f64 N (/.f64 #s(literal -1 binary64) N))
N
(/.f64 #s(literal -1 binary64) N)
#s(literal -1 binary64)
(atan2.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (/ (+ (* N N) 1) N)) N) #s(literal 1 binary64)))
#s(approx (* (+ 1 (/ (+ (* N N) 1) N)) N) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) N N) N))
(/.f64 (fma.f64 (fma.f64 N N N) N N) N)
(fma.f64 (fma.f64 N N N) N N)
(fma.f64 N N N)
(atan2.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 N N N) N N) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (fma.f64 (fma.f64 N N N) N N) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) (/.f64 (-.f64 N #s(literal -1 binary64)) N)) N))
(*.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) (/.f64 (-.f64 N #s(literal -1 binary64)) N)) N)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(sqrt.f64 N)
(/.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
Outputs
#s(approx (atan2 1 (+ (* (- N (/ -1 N)) N) N)) (atan2.f64 #s(literal 1 binary64) (+.f64 N (*.f64 N (+.f64 N (/.f64 #s(literal 1 binary64) N))))))
#s(approx (+ (* (- N (/ -1 N)) N) N) #s(literal 1 binary64))
#s(approx (+ (* (- N (/ -1 N)) N) N) (+.f64 #s(literal 1 binary64) N))
#s(approx (+ (* (- N (/ -1 N)) N) N) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N))))
#s(approx (- N (/ -1 N)) (/.f64 #s(literal 1 binary64) N))
#s(approx (- N (/ -1 N)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) N))
#s(approx N N)
#s(approx (/ -1 N) (/.f64 #s(literal -1 binary64) N))
#s(approx (atan2 1 (* (+ 1 (/ (+ (* N N) 1) N)) N)) (atan2.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (+.f64 N (/.f64 #s(literal 1 binary64) N))))))
#s(approx (atan2 1 (/ (+ (* (+ (* N N) N) N) N) N)) (atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 N (*.f64 N (+.f64 N (pow.f64 N #s(literal 2 binary64))))) N)))
#s(approx (+ (* (+ (* N N) N) N) N) (*.f64 N (+.f64 #s(literal 1 binary64) N)))
#s(approx (+ (* (+ (* N N) N) N) N) (*.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) N)))))
#s(approx (atan2 1 (* (+ (* (sqrt N) (sqrt N)) (/ (- N -1) N)) N)) (atan2.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (pow.f64 (sqrt.f64 N) #s(literal 2 binary64)))))))
#s(approx (* (+ (* (sqrt N) (sqrt N)) (/ (- N -1) N)) N) (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 N) #s(literal 2 binary64))))))
#s(approx (+ (* (sqrt N) (sqrt N)) (/ (- N -1) N)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 N (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 N) #s(literal 2 binary64))))) N))
#s(approx (sqrt N) (sqrt.f64 N))
#s(approx (/ (- N -1) N) (/.f64 (+.f64 #s(literal 1 binary64) N) N))
#s(approx (atan2 1 (+ (* (- N (/ -1 N)) N) N)) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 N (pow.f64 N #s(literal 2 binary64))))))
#s(approx (+ (* (- N (/ -1 N)) N) N) (pow.f64 N #s(literal 2 binary64)))
#s(approx (+ (* (- N (/ -1 N)) N) N) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
#s(approx (+ (* (- N (/ -1 N)) N) N) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))))
#s(approx (- N (/ -1 N)) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))))))
#s(approx (atan2 1 (/ (+ (* (+ (* N N) N) N) N) N)) (atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 N (+.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 N #s(literal 3 binary64)))) N)))
#s(approx (+ (* (+ (* N N) N) N) N) (pow.f64 N #s(literal 3 binary64)))
#s(approx (+ (* (+ (* N N) N) N) N) (*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
#s(approx (+ (* (+ (* N N) N) N) N) (*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))))
#s(approx (* (+ (* (sqrt N) (sqrt N)) (/ (- N -1) N)) N) (*.f64 (pow.f64 N #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
#s(approx (* (+ (* (sqrt N) (sqrt N)) (/ (- N -1) N)) N) (*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
#s(approx (* (+ (* (sqrt N) (sqrt N)) (/ (- N -1) N)) N) (*.f64 (pow.f64 N #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
#s(approx (+ (* (sqrt N) (sqrt N)) (/ (- N -1) N)) (*.f64 (pow.f64 N #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
#s(approx (+ (* (sqrt N) (sqrt N)) (/ (- N -1) N)) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
#s(approx (+ (* (sqrt N) (sqrt N)) (/ (- N -1) N)) (*.f64 (pow.f64 N #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
#s(approx (sqrt N) (*.f64 N (sqrt.f64 (/.f64 #s(literal 1 binary64) N))))
#s(approx (/ (- N -1) N) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
#s(approx (- N -1) (*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))))
#s(approx (atan2 1 (+ (* (- N (/ -1 N)) N) N)) (atan2.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) N))))
#s(approx (atan2 1 (/ (+ (* (+ (* N N) N) N) N) N)) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 N (-.f64 (pow.f64 N #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) N))) (*.f64 #s(literal -1 binary64) N)) N)))
#s(approx (+ (* (+ (* N N) N) N) N) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)) #s(literal 1 binary64)))))
#s(approx (* (+ (* (sqrt N) (sqrt N)) (/ (- N -1) N)) N) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 N #s(literal 2 binary64)))))))
#s(approx (* (+ (* (sqrt N) (sqrt N)) (/ (- N -1) N)) N) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 N #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (pow.f64 N #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))))
#s(approx (sqrt N) (*.f64 #s(literal -1 binary64) (*.f64 N (sqrt.f64 (/.f64 #s(literal 1 binary64) N)))))
Calls

3 calls:

TimeVariablePoint
4.0ms
N
-inf
2.0ms
N
inf
2.0ms
N
0

rewrite645.0ms (10.6%)

Memory
53.3MiB live, 789.8MiB allocated; 197ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027161
048126
1131116
2627116
04602116
018022116
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
22 → 3 600
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N (/.f64 #s(literal -1 binary64) N)) N N))
#s(literal 1 binary64)
(fma.f64 (-.f64 N (/.f64 #s(literal -1 binary64) N)) N N)
(-.f64 N (/.f64 #s(literal -1 binary64) N))
N
(/.f64 #s(literal -1 binary64) N)
#s(literal -1 binary64)
(atan2.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (/ (+ (* N N) 1) N)) N) #s(literal 1 binary64)))
#s(approx (* (+ 1 (/ (+ (* N N) 1) N)) N) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) N N) N))
(/.f64 (fma.f64 (fma.f64 N N N) N N) N)
(fma.f64 (fma.f64 N N N) N N)
(fma.f64 N N N)
(atan2.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 N N N) N N) (/.f64 #s(literal 1 binary64) N)))
(*.f64 (fma.f64 (fma.f64 N N N) N N) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) (/.f64 (-.f64 N #s(literal -1 binary64)) N)) N))
(*.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) (/.f64 (-.f64 N #s(literal -1 binary64)) N)) N)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (/.f64 (-.f64 N #s(literal -1 binary64)) N))
(sqrt.f64 N)
(/.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N #s(literal -1 binary64))
Outputs
(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 #s(literal 1 binary64) (/.f64 (neg.f64 N) (fma.f64 N N #s(literal 1 binary64)))) (fma.f64 N N #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (copysign.f64 #s(literal 1 binary64) (neg.f64 N)) (fma.f64 N N N))) (fma.f64 N N N))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 N N N))) (fma.f64 N N N))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) N) (*.f64 N N))) (*.f64 N N))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 N N N)) N) N) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (neg.f64 N) (fma.f64 N N N)) N) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 N N N) N) (neg.f64 N)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 N N N) N)) N) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 N N N) N) N) (*.f64 N N)))) (/.f64 (*.f64 (*.f64 (fma.f64 N N N) N) N) (*.f64 N N)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) N) (*.f64 (fma.f64 N N N) N)))) (*.f64 (/.f64 #s(literal -1 binary64) N) (*.f64 (fma.f64 N N N) N)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (*.f64 N (/.f64 (-.f64 N #s(literal -1 binary64)) N)))) (*.f64 N (/.f64 (-.f64 N #s(literal -1 binary64)) N)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 N (fma.f64 N N #s(literal 1 binary64)))) (fma.f64 N N #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N N) (-.f64 N #s(literal -1 binary64)))) (-.f64 N #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 N N N))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (/.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 N N))) (*.f64 N N))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))) (*.f64 N N))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) N) (*.f64 (fma.f64 N N N) N)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N N) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 N (/.f64 (-.f64 N #s(literal -1 binary64)) N)) (neg.f64 (sqrt.f64 N))) (neg.f64 (sqrt.f64 N)))
(*.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 N N N) N N)) (sqrt.f64 N)) (/.f64 #s(literal -1 binary64) (sqrt.f64 N)))
(*.f64 (*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (sqrt.f64 N)) (/.f64 (sqrt.f64 N) N))
(*.f64 (/.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (neg.f64 (sqrt.f64 N))) (/.f64 (neg.f64 N) (sqrt.f64 N)))
(*.f64 (/.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (sqrt.f64 N)) (sqrt.f64 N))
(*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 (fma.f64 (fma.f64 N N N) N N)) (/.f64 #s(literal -1 binary64) N))
(*.f64 (neg.f64 (sqrt.f64 N)) (*.f64 (neg.f64 (sqrt.f64 N)) (-.f64 N (/.f64 (-.f64 N #s(literal -1 binary64)) N))))
(*.f64 (-.f64 N (/.f64 (-.f64 N #s(literal -1 binary64)) N)) N)
(*.f64 (sqrt.f64 N) (*.f64 (sqrt.f64 N) (-.f64 N (/.f64 (-.f64 N #s(literal -1 binary64)) N))))
(*.f64 (/.f64 #s(literal -1 binary64) N) (fma.f64 (fma.f64 N N N) N N))
(*.f64 (fma.f64 (fma.f64 N N N) N N) (/.f64 #s(literal -1 binary64) N))
(*.f64 N (-.f64 N (/.f64 (-.f64 N #s(literal -1 binary64)) N)))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) (pow.f64 (copysign.f64 #s(literal 1 binary64) (neg.f64 N)) #s(literal 3 binary64))) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (fma.f64 (copysign.f64 #s(literal 1 binary64) (neg.f64 N)) (copysign.f64 #s(literal 1 binary64) (neg.f64 N)) (*.f64 (fma.f64 N N N) (copysign.f64 #s(literal 1 binary64) (neg.f64 N))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #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 (pow.f64 (*.f64 N N) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 N N) N) N (fma.f64 (-.f64 #s(literal -1 binary64) N) (-.f64 #s(literal -1 binary64) N) (*.f64 (*.f64 N N) (-.f64 #s(literal -1 binary64) N)))))
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(/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 N) (*.f64 (*.f64 (sqrt.f64 N) N) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sqrt.f64 N)))
(/.f64 (fma.f64 #s(literal 2 binary64) N (*.f64 (neg.f64 (*.f64 N N)) #s(literal 2 binary64))) (+.f64 N N))
(/.f64 (fma.f64 #s(literal 2 binary64) N (*.f64 (*.f64 N N) #s(literal 2 binary64))) (+.f64 N N))
(/.f64 (fma.f64 N (neg.f64 N) (*.f64 (neg.f64 (*.f64 N N)) N)) (*.f64 N (neg.f64 N)))
(/.f64 (+.f64 (neg.f64 (*.f64 N N)) (neg.f64 N)) (neg.f64 N))
(/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 N) N) (sqrt.f64 N)) (neg.f64 (sqrt.f64 N)) (*.f64 (neg.f64 (sqrt.f64 N)) (/.f64 (neg.f64 N) (sqrt.f64 N)))) N)
(/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 N) N) (sqrt.f64 N)) (sqrt.f64 N) (neg.f64 N)) (neg.f64 N))
(/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 N) N) (sqrt.f64 N)) (neg.f64 N) (*.f64 (neg.f64 (sqrt.f64 N)) (neg.f64 N))) (*.f64 (neg.f64 (sqrt.f64 N)) (neg.f64 N)))
(/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 N) N) (sqrt.f64 N)) #s(literal 2 binary64) (*.f64 (neg.f64 (sqrt.f64 N)) #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 N)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 N) N) (sqrt.f64 N)) N (*.f64 (neg.f64 (sqrt.f64 N)) N)) (*.f64 (neg.f64 (sqrt.f64 N)) N))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 N) N) (neg.f64 (sqrt.f64 N)) (*.f64 (sqrt.f64 N) (/.f64 (neg.f64 N) (sqrt.f64 N)))) (neg.f64 N))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 N) N) (neg.f64 N) (*.f64 (sqrt.f64 N) (neg.f64 N))) (*.f64 (sqrt.f64 N) (neg.f64 N)))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 N) N) #s(literal 2 binary64) (*.f64 (sqrt.f64 N) #s(literal 2 binary64))) (*.f64 (sqrt.f64 N) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 N) N) N (*.f64 (sqrt.f64 N) N)) (*.f64 (sqrt.f64 N) N))
(/.f64 (fma.f64 (neg.f64 (*.f64 N N)) (neg.f64 (sqrt.f64 N)) (*.f64 (neg.f64 N) (/.f64 (neg.f64 N) (sqrt.f64 N)))) (*.f64 (neg.f64 N) (neg.f64 (sqrt.f64 N))))
(/.f64 (fma.f64 (neg.f64 (*.f64 N N)) (sqrt.f64 N) (*.f64 (neg.f64 N) (sqrt.f64 N))) (*.f64 (neg.f64 N) (sqrt.f64 N)))
(/.f64 (fma.f64 (neg.f64 (*.f64 N N)) (neg.f64 N) (*.f64 N N)) (*.f64 N N))
(/.f64 (fma.f64 (neg.f64 (*.f64 N N)) #s(literal 2 binary64) (*.f64 (neg.f64 N) #s(literal 2 binary64))) (*.f64 (neg.f64 N) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (*.f64 N N)) N (*.f64 (neg.f64 N) N)) (*.f64 (neg.f64 N) N))
(/.f64 (fma.f64 (*.f64 N N) (neg.f64 (sqrt.f64 N)) (*.f64 N (/.f64 (neg.f64 N) (sqrt.f64 N)))) (*.f64 (neg.f64 (sqrt.f64 N)) N))
(/.f64 (fma.f64 (*.f64 N N) (sqrt.f64 N) (*.f64 (sqrt.f64 N) N)) (*.f64 (sqrt.f64 N) N))
(/.f64 (fma.f64 (*.f64 N N) N (*.f64 N (neg.f64 N))) (*.f64 N (neg.f64 N)))
(/.f64 (fma.f64 (*.f64 N N) #s(literal 2 binary64) (*.f64 N #s(literal 2 binary64))) (*.f64 N #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (neg.f64 N) (sqrt.f64 N)) (neg.f64 (sqrt.f64 N)) (*.f64 (neg.f64 (sqrt.f64 N)) (/.f64 (*.f64 (neg.f64 N) N) (sqrt.f64 N)))) N)
(/.f64 (fma.f64 (/.f64 (neg.f64 N) (sqrt.f64 N)) (sqrt.f64 N) (*.f64 (neg.f64 (sqrt.f64 N)) (*.f64 (sqrt.f64 N) N))) (neg.f64 N))
(/.f64 (fma.f64 (/.f64 (neg.f64 N) (sqrt.f64 N)) (neg.f64 N) (*.f64 (neg.f64 (sqrt.f64 N)) (neg.f64 (*.f64 N N)))) (*.f64 (neg.f64 (sqrt.f64 N)) (neg.f64 N)))
(/.f64 (fma.f64 (/.f64 (neg.f64 N) (sqrt.f64 N)) N (*.f64 (neg.f64 (sqrt.f64 N)) (*.f64 N N))) (*.f64 (neg.f64 (sqrt.f64 N)) N))
(/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 (sqrt.f64 N) (neg.f64 N))) (*.f64 (sqrt.f64 N) (neg.f64 N)))
(/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 (neg.f64 N) (neg.f64 (sqrt.f64 N)))) (*.f64 (neg.f64 N) (neg.f64 (sqrt.f64 N))))
(/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 (neg.f64 N) (sqrt.f64 N))) (*.f64 (neg.f64 N) (sqrt.f64 N)))
(/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 (neg.f64 N) N)) (*.f64 (neg.f64 N) N))
(/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 N)))) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 N))))
(/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 N))) (*.f64 #s(literal 2 binary64) (sqrt.f64 N)))
(/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (+.f64 N N)) (+.f64 N N))
(/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 N)) N)) (*.f64 (neg.f64 (sqrt.f64 N)) N))
(/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N (neg.f64 N))) (*.f64 N (neg.f64 N)))
(/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (neg.f64 N)) (neg.f64 N))
(/.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 N) N) (sqrt.f64 N))) (*.f64 (neg.f64 N) (neg.f64 (sqrt.f64 N))))
(/.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 N) N)) (*.f64 (neg.f64 N) (sqrt.f64 N)))
(/.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 N N))) (*.f64 N N))
(/.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 N N)) (*.f64 (neg.f64 N) N))
(/.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 N) N) (sqrt.f64 N))) (*.f64 (neg.f64 (sqrt.f64 N)) N))
(/.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 N) N)) (*.f64 (sqrt.f64 N) N))
(/.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 N N))) (*.f64 N (neg.f64 N)))
(/.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 N N)) (*.f64 N N))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) N) (sqrt.f64 N)) (/.f64 (*.f64 (neg.f64 N) N) (sqrt.f64 N))) N)
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) N) (sqrt.f64 N)) (*.f64 (sqrt.f64 N) N)) (neg.f64 N))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) N) (sqrt.f64 N)) (neg.f64 (*.f64 N N))) (*.f64 (neg.f64 (sqrt.f64 N)) (neg.f64 N)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) N) (sqrt.f64 N)) (*.f64 N N)) (*.f64 (neg.f64 (sqrt.f64 N)) N))
(/.f64 (*.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (sqrt.f64 N)) (/.f64 (*.f64 (neg.f64 N) N) (sqrt.f64 N))) (neg.f64 N))
(/.f64 (*.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (sqrt.f64 N)) (*.f64 (sqrt.f64 N) N)) N)
(/.f64 (*.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (sqrt.f64 N)) (neg.f64 (*.f64 N N))) (*.f64 (sqrt.f64 N) (neg.f64 N)))
(/.f64 (*.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (sqrt.f64 N)) (*.f64 N N)) (*.f64 (sqrt.f64 N) N))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N)) #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 N) N) (sqrt.f64 N))) (*.f64 (neg.f64 N) (neg.f64 (sqrt.f64 N))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 N) N)) (*.f64 (neg.f64 N) (sqrt.f64 N)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N)) #s(literal 1 binary64)) (neg.f64 (*.f64 N N))) (*.f64 N N))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 N)) #s(literal 1 binary64)) (*.f64 N N)) (*.f64 (neg.f64 N) N))
(/.f64 (*.f64 (fma.f64 N N N) (/.f64 (*.f64 (neg.f64 N) N) (sqrt.f64 N))) (*.f64 (*.f64 N N) (neg.f64 (sqrt.f64 N))))
(/.f64 (*.f64 (fma.f64 N N N) (*.f64 (sqrt.f64 N) N)) (*.f64 (*.f64 N N) (sqrt.f64 N)))
(/.f64 (*.f64 (fma.f64 N N N) (neg.f64 (*.f64 N N))) (*.f64 (*.f64 N N) N))
(/.f64 (*.f64 (fma.f64 N N N) (*.f64 N N)) (*.f64 (*.f64 N N) N))
(/.f64 (*.f64 (-.f64 (*.f64 N (neg.f64 N)) N) (/.f64 (*.f64 (neg.f64 N) N) (sqrt.f64 N))) (*.f64 (*.f64 N (neg.f64 N)) (neg.f64 (sqrt.f64 N))))
(/.f64 (*.f64 (-.f64 (*.f64 N (neg.f64 N)) N) (*.f64 (sqrt.f64 N) N)) (*.f64 (*.f64 N (neg.f64 N)) (sqrt.f64 N)))
(/.f64 (*.f64 (-.f64 (*.f64 N (neg.f64 N)) N) (neg.f64 (*.f64 N N))) (*.f64 (*.f64 N (neg.f64 N)) (neg.f64 N)))
(/.f64 (*.f64 (-.f64 (*.f64 N (neg.f64 N)) N) (*.f64 N N)) (*.f64 (*.f64 N (neg.f64 N)) N))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (/.f64 (*.f64 (neg.f64 N) N) (sqrt.f64 N))) (*.f64 (neg.f64 N) (neg.f64 (sqrt.f64 N))))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (*.f64 (sqrt.f64 N) N)) (*.f64 (neg.f64 N) (sqrt.f64 N)))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (neg.f64 (*.f64 N N))) (*.f64 N N))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) (*.f64 N N)) (*.f64 (neg.f64 N) N))
(/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 N) N) (sqrt.f64 N))) (*.f64 (neg.f64 (sqrt.f64 N)) N))
(/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (neg.f64 (*.f64 N N))) (*.f64 N (neg.f64 N)))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) N) (*.f64 #s(literal -1 binary64) N))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) N) (neg.f64 N))
(/.f64 (neg.f64 (fma.f64 N N N)) (neg.f64 N))
(/.f64 (-.f64 (neg.f64 N) (*.f64 N N)) (*.f64 #s(literal -1 binary64) N))
(/.f64 (-.f64 (neg.f64 N) (*.f64 N N)) (neg.f64 N))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) N) N) (sqrt.f64 N)) (neg.f64 (sqrt.f64 N)))
(/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (sqrt.f64 N)) (sqrt.f64 N))
(/.f64 (*.f64 (fma.f64 N N N) N) (*.f64 N N))
(/.f64 (fma.f64 N N N) N)
(neg.f64 (-.f64 #s(literal -1 binary64) N))
(-.f64 N (*.f64 (sqrt.f64 N) (/.f64 #s(literal -1 binary64) (sqrt.f64 N))))
(-.f64 N (copysign.f64 #s(literal 1 binary64) (neg.f64 N)))
(-.f64 N #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 N) N) N))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (neg.f64 N)) N))
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 N N)) N))
(+.f64 N (*.f64 (/.f64 (sqrt.f64 N) N) (sqrt.f64 N)))
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)

eval406.0ms (6.6%)

Memory
1.0MiB live, 706.4MiB allocated; 168ms collecting garbage
Compiler

Compiled 52 435 to 9 369 computations (82.1% saved)

prune48.0ms (0.8%)

Memory
13.4MiB live, 148.7MiB allocated; 11ms collecting garbage
Pruning

16 alts after pruning (10 fresh and 6 done)

PrunedKeptTotal
New2 32052 325
Fresh257
Picked145
Done123
Total2 324162 340
Accuracy
99.9%
Counts
2 340 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (-.f64 N #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) N)) N #s(literal 1/2 binary64)) N #s(literal 1 binary64)))
99.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N (/.f64 #s(literal -1 binary64) N)) N N))
99.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
99.3%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (sqrt.f64 N)) (sqrt.f64 N) #s(literal 1 binary64)))
99.6%
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) N N) N))
99.5%
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64))) N) (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))))
82.1%
(atan2.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (fma.f64 N N N) N N) N) (*.f64 N N)))
92.4%
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (+ (* N N) N) N) N) (pow.f64 N #s(literal 3 binary64))) N))
99.5%
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64))) (-.f64 N (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))))))
99.5%
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 N (fma.f64 (fma.f64 N N N) N N))))
99.6%
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
99.6%
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64)))) N))
99.2%
(atan2.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) (/.f64 (-.f64 N #s(literal -1 binary64)) N)) N))
99.1%
(atan2.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (sqrt.f64 N)) (/.f64 (sqrt.f64 N) N)))
8.1%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N (/ -1 N)) N) N) (+.f64 #s(literal 1 binary64) N)))
6.6%
(atan2.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (/ (+ (* N N) 1) N)) N) #s(literal 1 binary64)))
Compiler

Compiled 213 to 132 computations (38% saved)

regimes29.0ms (0.5%)

Memory
-21.4MiB live, 77.0MiB allocated; 9ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
4 → 1
27 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (/ (+ (* N N) 1) N)) N) #s(literal 1 binary64)))
Outputs
(atan2.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (/ (+ (* N N) 1) N)) N) #s(literal 1 binary64)))
Call 2
Inputs
(atan2.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (/ (+ (* N N) 1) N)) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (/ (+ (* N N) 1) N)) N) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N (/ -1 N)) N) N) (+.f64 #s(literal 1 binary64) N)))
(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
Outputs
(atan2.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (/ (+ (* N N) 1) N)) N) (+.f64 #s(literal 1 binary64) N)))
Call 3
Inputs
(atan2.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (/ (+ (* N N) 1) N)) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (* (+ 1 (/ (+ (* N N) 1) N)) N) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N (/ -1 N)) N) N) (+.f64 #s(literal 1 binary64) N)))
(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
(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) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N (/.f64 #s(literal -1 binary64) N)) N N))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) N N) N))
(atan2.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N #s(literal 1 binary64)) N)) N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (sqrt.f64 N)) (sqrt.f64 N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 #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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) N)) N #s(literal 1/2 binary64)) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 N N N) N N) (/.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 N (fma.f64 (fma.f64 N N N) N N))))
(atan2.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 N) (sqrt.f64 N) (/.f64 (-.f64 N #s(literal -1 binary64)) N)) N))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64))) N) (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (-.f64 N #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) N)) N #s(literal 1/2 binary64)) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (+ (* N N) N) N) N) (pow.f64 N #s(literal 3 binary64))) N))
(atan2.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (fma.f64 N N N) N N) N) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)) (sqrt.f64 N)) (/.f64 (sqrt.f64 N) N)))
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64))) (-.f64 N (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64)))))))
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* (+ (* N N) 1) (+ (* N N) 1)) (* N N)) (pow.f64 N #s(literal 4 binary64))) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (pow.f64 N #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)) #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)))))
Outputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
Calls

6 calls:

12.0ms
N
5.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
2.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
2.0ms
N
1.0ms
N
Results
AccuracySegmentsBranch
6.6%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
6.6%1N
8.1%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
8.1%1N
99.6%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
99.6%1N
Compiler

Compiled 413 to 150 computations (63.7% saved)

derivations132.0ms (2.2%)

Memory
-1.4MiB live, 90.8MiB allocated; 5ms collecting garbage
Stop Event
fuel
Compiler

Compiled 40 to 17 computations (57.5% saved)

preprocess47.0ms (0.8%)

Memory
8.9MiB live, 69.4MiB allocated; 33ms collecting garbage
Compiler

Compiled 65 to 35 computations (46.2% saved)

end0.0ms (0%)

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

Profiling

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