2atan (example 3.5)

Time bar (total: 2.9s)

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory
3.6MiB live, 3.6MiB allocated; 0ms collecting garbage
Algorithm
1×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)

sample1.7s (59.2%)

Memory
-8.4MiB live, 2 297.1MiB allocated; 505ms collecting garbage
Samples
1.1s7 223×1valid
219.0ms841×2valid
8.0ms192×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-atan: 560.0ms (55.5% of total)
adjust: 331.0ms (32.8% of total)
ival-add!: 78.0ms (7.7% of total)
ival-sub!: 40.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

preprocess146.0ms (5.1%)

Memory
0.3MiB live, 44.7MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01226
12626
25226
313924
499222
5667222
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶7.5%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 12 to 12 computations (0% saved)

series2.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Counts
6 → 9
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(atan.f64 N)
Outputs
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (- 1 (* -1 N)))))
Calls

3 calls:

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

rewrite57.0ms (2%)

Memory
25.9MiB live, 69.8MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030101
03593
114493
091793
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
15 → 48
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(atan.f64 N)
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (- 1 (* -1 N)))))
Outputs
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))) (neg.f64 (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64)))))))
(/.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))) (/.f64 (*.f64 (atan.f64 N) (atan.f64 N)) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64)))))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (*.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 (-.f64 N #s(literal -1 binary64)))))))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N)
(*.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))
(*.f64 N (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(/.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(/.f64 (*.f64 N (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N))) N) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64)) N) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (neg.f64 (-.f64 N #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (neg.f64 (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 N N) (neg.f64 N)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 N))
(-.f64 N (*.f64 (neg.f64 N) (/.f64 #s(literal 1 binary64) N)))
(-.f64 N (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) N)) N))
(-.f64 N #s(literal -1 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(atan.f64 N)
#s(approx (- (atan (+ N 1)) (atan N)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
#s(approx (atan (+ N 1)) (atan.f64 (-.f64 N #s(literal -1 binary64))))
#s(approx (+ N 1) #s(literal 1 binary64))
#s(approx (+ N 1) (-.f64 N #s(literal -1 binary64)))
#s(approx N N)
#s(approx (atan N) (atan.f64 N))
#s(approx (+ N 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (- (atan (+ N 1)) (atan N)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
#s(approx (atan (+ N 1)) (atan.f64 (-.f64 N #s(literal -1 binary64))))

eval4.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 362 to 175 computations (51.7% saved)

prune2.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New38341
Fresh000
Picked101
Done000
Total39342
Accuracy
18.4%
Counts
42 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶18.4%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
▶7.5%
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
▶2.0%
(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 22 to 21 computations (4.5% saved)

series20.0ms (0.7%)

Memory
-38.6MiB live, 13.5MiB allocated; 16ms collecting garbage
Counts
13 → 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
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(-.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
Outputs
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (- 1 (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
N
@-inf
((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) 1 (atan N) N (- (atan (- N -1)) (atan N)) (atan (- N -1)) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1))
1.0ms
N
@inf
((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) 1 (atan N) N (- (atan (- N -1)) (atan N)) (atan (- N -1)) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1))
0.0ms
N
@0
((- (atan (+ N 1)) (atan N)) (atan (+ N 1)) (+ N 1) 1 (atan N) N (- (atan (- N -1)) (atan N)) (atan (- N -1)) (- N -1) -1 (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (- (- N -1) N) (+ (* (- N -1) N) 1))

rewrite76.0ms (2.7%)

Memory
14.8MiB live, 108.0MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063275
077243
1350235
03031232
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
29 → 142
Calls
Call 1
Inputs
(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))
#s(approx (+ N 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(atan.f64 N)
N
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(-.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (+ N 1) #s(hole binary64 1))
#s(approx (+ N 1) #s(hole binary64 (+ 1 N)))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ N 1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (pow N 2)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- (atan (+ N 1)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (+ N 1)) #s(hole binary64 (atan (- 1 (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
Outputs
(atan2.f64 (-.f64 #s(approx (+ N 1) #s(literal 1 binary64)) N) (fma.f64 #s(approx (+ N 1) #s(literal 1 binary64)) N #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N)))) (neg.f64 (+.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (*.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))))))
(/.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))) (+.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (*.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (+.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))))) (/.f64 (*.f64 (atan.f64 N) (atan.f64 N)) (+.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))))))
(-.f64 (/.f64 (pow.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (*.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))) (*.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))))))
(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 #s(approx (+ N 1) #s(literal 1 binary64)))
#s(approx (+ N 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(atan.f64 N)
N
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64)))) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))) (neg.f64 (+.f64 (atan.f64 N) (atan.f64 (-.f64 N #s(literal -1 binary64))))))
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(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 #s(literal 1 binary64) (+.f64 (neg.f64 N) N))
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(+.f64 #s(literal 1 binary64) (-.f64 N N))
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(fma.f64 (fabs.f64 N) (fabs.f64 N) (-.f64 N #s(literal -1 binary64)))
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) (-.f64 N #s(literal -1 binary64)))
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(fma.f64 (neg.f64 N) (neg.f64 N) (-.f64 N #s(literal -1 binary64)))
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(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) N (*.f64 N N))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) N) (*.f64 N N))
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(fma.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 N N N)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 N) N) (-.f64 N #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 N N N) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) (-.f64 N #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)) (*.f64 N N))
(fma.f64 N (*.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 N (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N))
(fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 N N (-.f64 N #s(literal -1 binary64)))
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(+.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))
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(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(+.f64 N (+.f64 #s(literal 1 binary64) (*.f64 N N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
#s(approx (atan (+ N 1)) (atan.f64 (-.f64 N #s(literal -1 binary64))))
#s(approx (+ N 1) #s(literal 1 binary64))
#s(approx (+ N 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (atan N) (atan.f64 N))
#s(approx N N)
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (+ N 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (* (- N -1) N) 1) (*.f64 N N))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 N N (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N) N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N)))
#s(approx (atan (+ N 1)) (atan.f64 (-.f64 N #s(literal -1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))

eval18.0ms (0.6%)

Memory
-8.4MiB live, 37.6MiB allocated; 3ms collecting garbage
Compiler

Compiled 1 466 to 526 computations (64.1% saved)

prune6.0ms (0.2%)

Memory
16.2MiB live, 16.2MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1405145
Fresh000
Picked213
Done000
Total1426148
Accuracy
99.6%
Counts
148 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶18.4%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
▶18.4%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 N N) N) N)) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
▶18.4%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))))
▶18.4%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
✓2.0%
(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
▶99.6%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
Compiler

Compiled 138 to 120 computations (13% saved)

series16.0ms (0.6%)

Memory
-22.7MiB live, 28.1MiB allocated; 6ms collecting garbage
Counts
30 → 62
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 N N #s(literal 1 binary64))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) N)
(*.f64 N N)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 N N) N) N)) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
(/.f64 (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 N N) N) N)) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
(-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 N N) N) N))
(*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 N N) N) N)
(*.f64 (*.f64 N N) N)
(-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))
(*.f64 (fma.f64 N N N) (fma.f64 N N N))
(fma.f64 N N N)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx N #s(hole binary64 N))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* N N) 1) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* (pow N 2) (+ 1 (/ 1 N)))))))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 (- (- N -1) N) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N)))) #s(hole binary64 (atan2 1 (/ (- (pow (+ 1 N) 2) (pow N 4)) (- (+ 1 N) (pow N 2))))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (+ 1 (* N (+ 2 N)))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (+ 1 (* N (+ 2 (* N (+ 1 (* -1 (pow N 2)))))))))
#s(approx (* (* (* N N) N) N) #s(hole binary64 (pow N 4)))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (+ 1 (* N (+ 1 (* -1 N))))))
#s(approx (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) #s(hole binary64 (atan2 1 (- (/ (pow (+ N (pow N 2)) 2) (- (* N (+ 1 N)) 1)) (/ 1 (- (* N (+ 1 N)) 1))))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (- (* -3 N) 1))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (- (* N (- (* -5 N) 3)) 1))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (- (* N (- (* N (- (* -8 N) 5)) 3)) 1))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 N)))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 2) (+ 1 (* N (+ 2 N))))))
#s(approx (+ (* N N) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 -1))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (- N 1)))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (- (* N (+ 1 N)) 1)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (- (* -1 N) 1)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (- (* N (- (* -2 N) 1)) 1)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (- (* N (- (* N (- (* -3 N) 2)) 1)) 1)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ (* N N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 (pow N 2))))))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (* -1 (pow N 4))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (* (pow N 4) (- (/ 1 (pow N 2)) 1))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (* (pow N 4) (- (+ (/ 1 (pow N 2)) (/ 2 (pow N 3))) 1))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (* (pow N 4) (- (+ (/ 1 (pow N 2)) (+ (/ 1 (pow N 4)) (/ 2 (pow N 3)))) 1))))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 (/ 1 N))))))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (* (pow N 2) (- (/ 1 N) 1))))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (* (pow N 2) (- (+ (/ 1 N) (/ 1 (pow N 2))) 1))))
#s(approx (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) #s(hole binary64 (atan2 1 (- (/ (pow (+ N (pow N 2)) 2) (- (+ N (pow N 2)) 1)) (/ 1 (- (+ N (pow N 2)) 1))))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) (/ 1 (pow N 4))))))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 N)) (/ 1 (pow N 2))))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (- 1 (/ 1 N)) (pow N 2))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (- (+ 1 (/ 2 (pow N 2))) (/ 1 N)) (pow N 2))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (- (+ 1 (/ 2 (pow N 2))) (+ (/ 1 N) (* 3 (/ 1 (pow N 3))))) (pow N 2))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N)))) #s(hole binary64 (atan2 1 (/ (- (pow (- 1 (* -1 N)) 2) (pow N 4)) (- 1 (+ (* -1 N) (pow N 2)))))))
#s(approx (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) #s(hole binary64 (atan2 1 (- (/ (pow (- (pow N 2) (* -1 N)) 2) (- (* N (- 1 (* -1 N))) 1)) (/ 1 (- (* N (- 1 (* -1 N))) 1))))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow N 2))) N)) 1) N))))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- (/ 1 N) 1) N))))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 N))) N))) (pow N 2))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 N))) N))) N))) (pow N 2))))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
N
@-inf
((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (- N -1) N) 1)) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (- (- N -1) N) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (+ (* (- (/ 1 N) -1) (* N N)) 1) (- (/ 1 N) -1) (/ 1 N) (* N N) (atan2 (- (- N -1) N) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N)))) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (* (- N -1) (- N -1)) (* (* (* N N) N) N) (* (* N N) N) (- (- N -1) (* N N)) (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N) (+ (* (- N -1) N) -1) (/ 1 (+ (* (- N -1) N) -1)))
3.0ms
N
@inf
((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (- N -1) N) 1)) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (- (- N -1) N) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (+ (* (- (/ 1 N) -1) (* N N)) 1) (- (/ 1 N) -1) (/ 1 N) (* N N) (atan2 (- (- N -1) N) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N)))) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (* (- N -1) (- N -1)) (* (* (* N N) N) N) (* (* N N) N) (- (- N -1) (* N N)) (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N) (+ (* (- N -1) N) -1) (/ 1 (+ (* (- N -1) N) -1)))
3.0ms
N
@0
((atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2 1 (+ (* (- N -1) N) 1)) 1 (+ (* (- N -1) N) 1) (- N -1) N -1 (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (- (- N -1) N) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) (+ (* (- (/ 1 N) -1) (* N N)) 1) (- (/ 1 N) -1) (/ 1 N) (* N N) (atan2 (- (- N -1) N) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N)))) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N))) (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (* (- N -1) (- N -1)) (* (* (* N N) N) N) (* (* N N) N) (- (- N -1) (* N N)) (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1))) (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (* (+ (* N N) N) (+ (* N N) N)) (+ (* N N) N) (+ (* (- N -1) N) -1) (/ 1 (+ (* (- N -1) N) -1)))

rewrite242.0ms (8.4%)

Memory
43.4MiB live, 329.2MiB allocated; 95ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02951732
03471460
117531435
092971421
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
92 → 385
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 N N #s(literal 1 binary64))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) N)
(*.f64 N N)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 N N) N) N)) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
(/.f64 (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 N N) N) N)) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
(-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 N N) N) N))
(*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 N N) N) N)
(*.f64 (*.f64 N N) N)
(-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))
(*.f64 (fma.f64 N N N) (fma.f64 N N N))
(fma.f64 N N N)
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 1))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx N #s(hole binary64 N))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* N N) 1) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- (/ 1 N) -1) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* (pow N 2) (+ 1 (/ 1 N)))))))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ 1 N)))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 (- (- N -1) N) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N)))) #s(hole binary64 (atan2 1 (/ (- (pow (+ 1 N) 2) (pow N 4)) (- (+ 1 N) (pow N 2))))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (+ 1 (* 2 N))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (+ 1 (* N (+ 2 N)))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (+ 1 (* N (+ 2 (* N (+ 1 (* -1 (pow N 2)))))))))
#s(approx (* (* (* N N) N) N) #s(hole binary64 (pow N 4)))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (+ 1 (* N (+ 1 (* -1 N))))))
#s(approx (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) #s(hole binary64 (atan2 1 (- (/ (pow (+ N (pow N 2)) 2) (- (* N (+ 1 N)) 1)) (/ 1 (- (* N (+ 1 N)) 1))))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* -1 (pow N 2))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (- (* -3 N) 1))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (- (* N (- (* -5 N) 3)) 1))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (- (* N (- (* N (- (* -8 N) 5)) 3)) 1))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 N)))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 2) (+ 1 (* N (+ 2 N))))))
#s(approx (+ (* N N) N) #s(hole binary64 (* N (+ 1 N))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 -1))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (- N 1)))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (- (* N (+ 1 N)) 1)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (- (* -1 N) 1)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (- (* N (- (* -2 N) 1)) 1)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (- (* N (- (* N (- (* -3 N) 2)) 1)) 1)))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* (- N -1) N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (- N -1) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ (* N N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 (pow N 2))))))
#s(approx (- (/ 1 N) -1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (* -1 (pow N 4))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (* (pow N 4) (- (/ 1 (pow N 2)) 1))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (* (pow N 4) (- (+ (/ 1 (pow N 2)) (/ 2 (pow N 3))) 1))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) #s(hole binary64 (* (pow N 4) (- (+ (/ 1 (pow N 2)) (+ (/ 1 (pow N 4)) (/ 2 (pow N 3)))) 1))))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 (* (pow N 2) (+ 1 (* 2 (/ 1 N))))))
#s(approx (* (- N -1) (- N -1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (* (pow N 2) (- (/ 1 N) 1))))
#s(approx (- (- N -1) (* N N)) #s(hole binary64 (* (pow N 2) (- (+ (/ 1 N) (/ 1 (pow N 2))) 1))))
#s(approx (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) #s(hole binary64 (atan2 1 (- (/ (pow (+ N (pow N 2)) 2) (- (+ N (pow N 2)) 1)) (/ 1 (- (+ N (pow N 2)) 1))))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) (/ 1 (pow N 4))))))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 4) (+ 1 (* 2 (/ 1 N))))))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) #s(hole binary64 (* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 N)) (/ 1 (pow N 2))))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (- 1 (/ 1 N)) (pow N 2))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (- (+ 1 (/ 2 (pow N 2))) (/ 1 N)) (pow N 2))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (- (+ 1 (/ 2 (pow N 2))) (+ (/ 1 N) (* 3 (/ 1 (pow N 3))))) (pow N 2))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N)))) #s(hole binary64 (atan2 1 (/ (- (pow (- 1 (* -1 N)) 2) (pow N 4)) (- 1 (+ (* -1 N) (pow N 2)))))))
#s(approx (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) #s(hole binary64 (atan2 1 (- (/ (pow (- (pow N 2) (* -1 N)) 2) (- (* N (- 1 (* -1 N))) 1)) (/ 1 (- (* N (- 1 (* -1 N))) 1))))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow N 2))) N)) 1) N))))))
#s(approx (+ (* (- N -1) N) -1) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- (/ 1 N) 1) N))))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 N))) N))) (pow N 2))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) #s(hole binary64 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 3 (/ 1 N))) N))) N))) (pow N 2))))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(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) (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64)))))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N)) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) (*.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))))))
(+.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64))) (neg.f64 (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (neg.f64 (+.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (+.f64 N #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))))
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) (pow.f64 (+.f64 #s(literal -1 binary64) N) #s(literal 3 binary64))) (fma.f64 N N (fma.f64 (+.f64 #s(literal -1 binary64) N) (+.f64 #s(literal -1 binary64) N) (*.f64 N (+.f64 #s(literal -1 binary64) N)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (*.f64 N N))) (neg.f64 (+.f64 (-.f64 N #s(literal -1 binary64)) N)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 N N) N))) (neg.f64 (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (fma.f64 N N (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(/.f64 (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (*.f64 N N)) (+.f64 (-.f64 N #s(literal -1 binary64)) N))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 N N) N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (fma.f64 N N (*.f64 (-.f64 N #s(literal -1 binary64)) N))))
(-.f64 (/.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (+.f64 (-.f64 N #s(literal -1 binary64)) N)) (/.f64 (*.f64 N N) (+.f64 (-.f64 N #s(literal -1 binary64)) N)))
(-.f64 (/.f64 (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (fma.f64 N N (*.f64 (-.f64 N #s(literal -1 binary64)) N)))) (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (fma.f64 N N (*.f64 (-.f64 N #s(literal -1 binary64)) N)))))
(-.f64 (-.f64 N #s(literal -1 binary64)) N)
(-.f64 N (+.f64 #s(literal -1 binary64) N))
(/.f64 (fma.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (fma.f64 N N #s(literal 1 binary64)) (*.f64 (*.f64 N N) N)) (fma.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)) (-.f64 (*.f64 N N) (*.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
(/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) N) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))) (fma.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))))
(/.f64 (fma.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 N N N) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N)) (*.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) (+.f64 #s(literal 1 binary64) N))))))
(/.f64 (fma.f64 (-.f64 (*.f64 N N) (*.f64 (*.f64 (*.f64 N N) N) N)) #s(literal 2 binary64) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64))) (*.f64 (-.f64 N (*.f64 N N)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N)) #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 N N) N) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 N N) N) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 (*.f64 N N) N (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))) #s(literal 2 binary64) (*.f64 (fma.f64 N N (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (*.f64 N N) N))) #s(literal 2 binary64))) (*.f64 (fma.f64 N N (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (*.f64 N N) N))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N) (*.f64 (*.f64 N N) N)) #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 (*.f64 N N) (*.f64 (*.f64 N N) N))) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 (*.f64 N N) (*.f64 (*.f64 N N) N))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 N (*.f64 N N)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 N N) (*.f64 (*.f64 (*.f64 N N) N) N)))) (*.f64 #s(literal 2 binary64) (-.f64 N (*.f64 N N))))
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 (*.f64 N N) N) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N)))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 N N) N)))
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 N N (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (*.f64 N N) N))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 N N) N (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))))) (*.f64 #s(literal 2 binary64) (fma.f64 N N (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (*.f64 N N) N)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 (*.f64 N N) (*.f64 (*.f64 N N) N))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N) (*.f64 (*.f64 N N) N)))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 (*.f64 N N) (*.f64 (*.f64 N N) N)))))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))))) (neg.f64 (-.f64 N (fma.f64 N N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (fma.f64 N N N)))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (neg.f64 (fma.f64 (*.f64 N N) N (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 N N (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N (fma.f64 N N #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (*.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(/.f64 (-.f64 (*.f64 N N) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))) (-.f64 N (fma.f64 N N #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (fma.f64 N N N))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(/.f64 (fma.f64 (*.f64 N N) N (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 N N (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N (fma.f64 N N #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 N N N) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (*.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
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#s(approx (- (/ 1 N) -1) (/.f64 (+.f64 #s(literal 1 binary64) N) N))
#s(approx (* N N) (*.f64 N N))
#s(approx (atan2 (- (- N -1) N) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (*.f64 (*.f64 (*.f64 N N) N) N)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (fma.f64 (+.f64 #s(literal 2 binary64) N) N #s(literal 1 binary64)))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (fma.f64 (fma.f64 (+.f64 (neg.f64 (*.f64 N N)) #s(literal 1 binary64)) N #s(literal 2 binary64)) N #s(literal 1 binary64)))
#s(approx (* (* (* N N) N) N) (*.f64 (*.f64 (*.f64 N N) N) N))
#s(approx (* (* N N) N) (*.f64 (*.f64 N N) N))
#s(approx (- (- N -1) (* N N)) (fma.f64 (+.f64 (neg.f64 N) #s(literal 1 binary64)) N #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (neg.f64 (*.f64 N N)))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (*.f64 (-.f64 (*.f64 #s(literal -3 binary64) N) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5 binary64) N) #s(literal 3 binary64)) N) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -8 binary64) N) #s(literal 5 binary64)) N) #s(literal 3 binary64)) N) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) (*.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) N) N #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (+ (* N N) N) (fma.f64 N N N))
#s(approx (+ (* (- N -1) N) -1) #s(literal -1 binary64))
#s(approx (+ (* (- N -1) N) -1) (-.f64 N #s(literal 1 binary64)))
#s(approx (+ (* (- N -1) N) -1) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) (-.f64 (neg.f64 N) #s(literal 1 binary64)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) N) #s(literal 1 binary64)) N) #s(literal 1 binary64)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -3 binary64) N) #s(literal 2 binary64)) N) #s(literal 1 binary64)) N) #s(literal 1 binary64)))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 (*.f64 N N) #s(literal 1 binary64) N))
#s(approx (+ (* (- N -1) N) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 N N)))
#s(approx (- N -1) (fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64)))
#s(approx (+ (* N N) 1) (fma.f64 (*.f64 N N) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (- (/ 1 N) -1) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (neg.f64 (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 N N) N)) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N N) N) N)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 N N) N))) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (* (- N -1) (- N -1)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (* (- N -1) (- N -1)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (- (- N -1) (* N N)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (- (- N -1) (* N N)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64))) (*.f64 N N)))
#s(approx (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64)))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N N) N) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (/.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (* (+ (* N N) N) (+ (* N N) N)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) N) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 N N) N) N)))
#s(approx (+ (* (- N -1) N) -1) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 N N)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (*.f64 N N)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N)) (*.f64 N N)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 N N) N))) (*.f64 N N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))))
#s(approx (atan2 (- (- N -1) N) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) (-.f64 #s(literal 1 binary64) (neg.f64 N))) (*.f64 (*.f64 (*.f64 N N) N) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N (neg.f64 N))))))
#s(approx (atan2 (- (- N -1) N) (- (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (/ 1 (+ (* (- N -1) N) -1)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 N N) (neg.f64 N)) (-.f64 (*.f64 N N) (neg.f64 N))) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)) N) #s(literal 1 binary64)))))
#s(approx (/ (* (+ (* N N) N) (+ (* N N) N)) (+ (* (- N -1) N) -1)) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (+ (* (- N -1) N) -1) (*.f64 (*.f64 N N) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N)) #s(literal 1 binary64))))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) N)) N)) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (/ 1 (+ (* (- N -1) N) -1)) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) N)) N)) #s(literal 1 binary64)) N)) #s(literal 1 binary64)) (*.f64 N N)))

eval96.0ms (3.3%)

Memory
11.1MiB live, 80.1MiB allocated; 64ms collecting garbage
Compiler

Compiled 6 367 to 2 086 computations (67.2% saved)

prune15.0ms (0.5%)

Memory
-30.5MiB live, 19.6MiB allocated; 6ms collecting garbage
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New4217428
Fresh000
Picked325
Done101
Total4259434
Accuracy
99.7%
Counts
434 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓18.4%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
18.4%
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64)))))
76.9%
#s(approx (atan2 (- (- N -1) N) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (*.f64 (*.f64 (*.f64 N N) N) N)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))))
▶99.4%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64))))
✓99.6%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
▶7.8%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N))))
▶99.5%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 N N)))))
▶6.3%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))))
▶99.6%
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))))
Compiler

Compiled 297 to 252 computations (15.2% saved)

series9.0ms (0.3%)

Memory
11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Counts
32 → 35
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N)))
#s(literal 1 binary64)
(-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))
(fma.f64 N N #s(literal 1 binary64))
N
(neg.f64 N)
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N)))
#s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N))
(+.f64 #s(literal 1 binary64) N)
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 N N)))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 N N))))
#s(approx (+ (* (- N -1) N) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 N N)))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 N N))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
(+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) (*.f64 N N))
(*.f64 N N)
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64))))
(-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64))
(*.f64 (*.f64 N N) N)
#s(literal -1 binary64)
(fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))
(+.f64 (neg.f64 N) #s(literal 1 binary64))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (- (+ (* N N) 1) (neg N)) #s(hole binary64 1))
#s(approx (- (+ (* N N) 1) (neg N)) #s(hole binary64 (+ 1 N)))
#s(approx (- (+ (* N N) 1) (neg N)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* N N) 1) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx N #s(hole binary64 N))
#s(approx (neg N) #s(hole binary64 (* -1 N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (+ (+ (/ 1 N) 1) (/ 1 (* N N))) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (+ (+ (/ 1 N) 1) (/ 1 (* N N))) #s(hole binary64 (/ (+ 1 N) (pow N 2))))
#s(approx (+ (+ (/ 1 N) 1) (/ 1 (* N N))) #s(hole binary64 (/ (+ 1 (* N (+ 1 N))) (pow N 2))))
#s(approx (+ (/ 1 N) 1) #s(hole binary64 (/ 1 N)))
#s(approx (+ (/ 1 N) 1) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 1 (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))))
#s(approx (- (* (* N N) N) -1) #s(hole binary64 (+ 1 (pow N 3))))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (+ 1 (* N (- N 1)))))
#s(approx (- (+ (* N N) 1) (neg N)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (- (+ (* N N) 1) (neg N)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* N N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 (pow N 2))))))
#s(approx (+ 1 N) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ (+ (/ 1 N) 1) (/ 1 (* N N))) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (+ (+ (/ 1 N) 1) (/ 1 (* N N))) #s(hole binary64 (+ 1 (+ (/ 1 N) (/ 1 (pow N 2))))))
#s(approx (atan2 1 (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))))
#s(approx (- (* (* N N) N) -1) #s(hole binary64 (* (pow N 3) (+ 1 (/ 1 (pow N 3))))))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (* (pow N 2) (- 1 (/ 1 N)))))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))
#s(approx (+ (neg N) 1) #s(hole binary64 (* N (- (/ 1 N) 1))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 1 (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))))
#s(approx (+ (neg N) 1) #s(hole binary64 (* -1 (* N (- 1 (/ 1 N))))))
Calls

3 calls:

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

rewrite117.0ms (4.1%)

Memory
33.9MiB live, 124.3MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01611014
0196841
1852695
08125694
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
67 → 1 142
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N)))
#s(literal 1 binary64)
(-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))
(fma.f64 N N #s(literal 1 binary64))
N
(neg.f64 N)
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64)))
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N)))
#s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N))
(+.f64 #s(literal 1 binary64) N)
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 N N)))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 N N))))
#s(approx (+ (* (- N -1) N) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 N N)))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 N N))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
(+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) N)
(/.f64 #s(literal 1 binary64) (*.f64 N N))
(*.f64 N N)
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64))))
(-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64))
(*.f64 (*.f64 N N) N)
#s(literal -1 binary64)
(fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))
(+.f64 (neg.f64 N) #s(literal 1 binary64))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (- (+ (* N N) 1) (neg N)) #s(hole binary64 1))
#s(approx (- (+ (* N N) 1) (neg N)) #s(hole binary64 (+ 1 N)))
#s(approx (- (+ (* N N) 1) (neg N)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx (+ (* N N) 1) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx N #s(hole binary64 N))
#s(approx (neg N) #s(hole binary64 (* -1 N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (+ (+ (/ 1 N) 1) (/ 1 (* N N))) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (+ (+ (/ 1 N) 1) (/ 1 (* N N))) #s(hole binary64 (/ (+ 1 N) (pow N 2))))
#s(approx (+ (+ (/ 1 N) 1) (/ 1 (* N N))) #s(hole binary64 (/ (+ 1 (* N (+ 1 N))) (pow N 2))))
#s(approx (+ (/ 1 N) 1) #s(hole binary64 (/ 1 N)))
#s(approx (+ (/ 1 N) 1) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 1 (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))))
#s(approx (- (* (* N N) N) -1) #s(hole binary64 (+ 1 (pow N 3))))
#s(approx (* (* N N) N) #s(hole binary64 (pow N 3)))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (+ 1 (* -1 N))))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (+ 1 (* N (- N 1)))))
#s(approx (- (+ (* N N) 1) (neg N)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (- (+ (* N N) 1) (neg N)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* N N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 (pow N 2))))))
#s(approx (+ 1 N) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ (+ (/ 1 N) 1) (/ 1 (* N N))) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (+ (+ (/ 1 N) 1) (/ 1 (* N N))) #s(hole binary64 (+ 1 (+ (/ 1 N) (/ 1 (pow N 2))))))
#s(approx (atan2 1 (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))))
#s(approx (- (* (* N N) N) -1) #s(hole binary64 (* (pow N 3) (+ 1 (/ 1 (pow N 3))))))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (* (pow N 2) (- 1 (/ 1 N)))))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (* (pow N 2) (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))
#s(approx (+ (neg N) 1) #s(hole binary64 (* N (- (/ 1 N) 1))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (atan2 1 (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) #s(hole binary64 (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))))
#s(approx (+ (* N N) (+ (neg N) 1)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))))))
#s(approx (+ (neg N) 1) #s(hole binary64 (* -1 (* N (- 1 (/ 1 N))))))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(literal 1 binary64)
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal -1 binary64)) (fabs.f64 N)) (fabs.f64 N))
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal -1 binary64)) (neg.f64 N)) (neg.f64 N))
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal -1 binary64)) N) N)
(*.f64 (fabs.f64 N) (*.f64 (fabs.f64 N) (-.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal -1 binary64))))
(*.f64 (-.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal -1 binary64)) (*.f64 N N))
(*.f64 (neg.f64 N) (*.f64 (neg.f64 N) (-.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal -1 binary64))))
(*.f64 (*.f64 N N) (-.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal -1 binary64)))
(*.f64 N (*.f64 (-.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal -1 binary64)) N))
(/.f64 (*.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
(/.f64 (*.f64 (*.f64 N N) (*.f64 (-.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 N N))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 N N))))
(/.f64 (*.f64 (*.f64 N N) (+.f64 (pow.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) (-.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 N N) (+.f64 (pow.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (pow.f64 N #s(literal -6 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 N N)))) (*.f64 N N)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 N N))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 N N)) (fma.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) (-.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) #s(literal 3 binary64)) (pow.f64 N #s(literal -6 binary64))) (*.f64 N N)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 N #s(literal -1 binary64)) N))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.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 (*.f64 (+.f64 (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)) (+.f64 (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (-.f64 (+.f64 (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 N N) N) N)) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N) (*.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 (*.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 (pow.f64 (+.f64 (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)) (+.f64 (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))))
(/.f64 (fma.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N))) (fma.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 N (-.f64 #s(literal -1 binary64) N)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (*.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal -1 binary64) N))))))
(/.f64 (fma.f64 (*.f64 (fma.f64 N N N) (/.f64 (-.f64 N (*.f64 (*.f64 (*.f64 N N) N) N)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 N (*.f64 (*.f64 (*.f64 N N) N) N)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 N (*.f64 (*.f64 (*.f64 N N) N) N)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)))
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(/.f64 (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) (*.f64 N N)) N (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) N))) (fma.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N) (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) (*.f64 N N)) N (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) N))) (fma.f64 (*.f64 (*.f64 N N) N) N (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 N N) N) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 N N) N) N) (-.f64 N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 N N) N) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 N N) N) (-.f64 (-.f64 (*.f64 N N) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 N N) N)) (fma.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)) (-.f64 (*.f64 N N) (*.f64 (neg.f64 N) (fma.f64 N N #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 N N) N)) (fma.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)) (*.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64)) (fabs.f64 N)) (fabs.f64 N) (neg.f64 N))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64)) (neg.f64 N)) (neg.f64 N) (neg.f64 N))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64)) N) N (neg.f64 N))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))) N #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 N N))) (-.f64 #s(literal 1 binary64) N) (*.f64 N N))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (*.f64 N N))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 N)) (*.f64 #s(literal 1 binary64) (fabs.f64 N)) (-.f64 #s(literal 1 binary64) N))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 N)) (fabs.f64 N) (-.f64 #s(literal 1 binary64) N))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 N)) (*.f64 #s(literal -1 binary64) (fabs.f64 N)) (-.f64 #s(literal 1 binary64) N))
(fma.f64 (*.f64 (fabs.f64 N) #s(literal 1 binary64)) (*.f64 (fabs.f64 N) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N))
(fma.f64 (*.f64 (fabs.f64 N) #s(literal -1 binary64)) (*.f64 (fabs.f64 N) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) N))
(fma.f64 (*.f64 (*.f64 N N) #s(literal -1 binary64)) #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N))
(fma.f64 (fabs.f64 (fabs.f64 N)) (fabs.f64 (fabs.f64 N)) (-.f64 #s(literal 1 binary64) N))
(fma.f64 (neg.f64 (fabs.f64 N)) (neg.f64 (fabs.f64 N)) (-.f64 #s(literal 1 binary64) N))
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) (-.f64 #s(literal 1 binary64) N))
(fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 N) N) #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N))
(fma.f64 (fabs.f64 N) (*.f64 (fabs.f64 N) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64))) (neg.f64 N))
(fma.f64 (fabs.f64 N) (*.f64 (fabs.f64 N) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N))
(fma.f64 (fabs.f64 N) (fabs.f64 N) (-.f64 #s(literal 1 binary64) N))
(fma.f64 (-.f64 (*.f64 N N) N) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64)) (*.f64 N N) (neg.f64 N))
(fma.f64 (-.f64 #s(literal 1 binary64) N) (neg.f64 N) #s(literal 1 binary64))
(fma.f64 (neg.f64 N) (*.f64 (neg.f64 N) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64))) (neg.f64 N))
(fma.f64 (neg.f64 N) (-.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(fma.f64 (neg.f64 N) (neg.f64 N) (-.f64 #s(literal 1 binary64) N))
(fma.f64 (neg.f64 N) #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N) (*.f64 N N))
(fma.f64 #s(literal 1 binary64) (neg.f64 N) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) (-.f64 #s(literal 1 binary64) N))
(fma.f64 (*.f64 N N) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64)) (neg.f64 N))
(fma.f64 (*.f64 N N) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(fma.f64 #s(literal -1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 N #s(literal 1 binary64)) (*.f64 N N))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 N) N) (-.f64 #s(literal 1 binary64) N))
(fma.f64 #s(literal -1 binary64) N (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 N (*.f64 N (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64))) (neg.f64 N))
(fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 N #s(literal -1 binary64) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 N N (-.f64 #s(literal 1 binary64) N))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) N) (-.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 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 N N) N) N) (-.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))))
(-.f64 (/.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (/.f64 (*.f64 N N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)) (*.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))) (/.f64 (*.f64 (*.f64 N N) N) (fma.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)) (*.f64 N (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))))
(-.f64 (-.f64 (*.f64 N N) N) #s(literal -1 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 (neg.f64 N) N))
(-.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) N) N))
(-.f64 #s(literal 1 binary64) (*.f64 N (-.f64 #s(literal 1 binary64) N)))
(-.f64 #s(literal 1 binary64) (-.f64 N (*.f64 N N)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N)) (fma.f64 (*.f64 (*.f64 N N) N) N (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) N)) (fma.f64 (*.f64 (*.f64 N N) N) N (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 N N) N) (-.f64 (-.f64 (*.f64 N N) N) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 (*.f64 N N) N) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 N N) N) (-.f64 (-.f64 (*.f64 N N) N) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (-.f64 (*.f64 N N) N) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N))
(+.f64 (neg.f64 N) (fma.f64 N N #s(literal 1 binary64)))
(+.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N))
(+.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 N N))) (-.f64 #s(literal 1 binary64) N))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))
(*.f64 #s(literal -1 binary64) (-.f64 N #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (-.f64 N #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N))) (-.f64 (neg.f64 N) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 N #s(literal -1 binary64)))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 (neg.f64 N) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(neg.f64 (-.f64 N #s(literal 1 binary64)))
(fma.f64 (neg.f64 N) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 N) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64))
(fma.f64 N #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64))) (/.f64 (*.f64 N N) (-.f64 N #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 N N) (-.f64 (neg.f64 N) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 N) #s(literal 1 binary64))))
(-.f64 (neg.f64 N) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) N)
(+.f64 (/.f64 (*.f64 (*.f64 (neg.f64 N) N) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 N) N) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(+.f64 (neg.f64 N) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 N))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))
#s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (+ (* N N) 1) (fma.f64 N N #s(literal 1 binary64)))
#s(approx N N)
#s(approx (neg N) (neg.f64 N))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (+ (/ 1 N) 1) (/ 1 (* N N))) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
#s(approx (+ (+ (/ 1 N) 1) (/ 1 (* N N))) (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)))
#s(approx (+ (+ (/ 1 N) 1) (/ 1 (* N N))) (-.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal -1 binary64)))
#s(approx (+ (/ 1 N) 1) (/.f64 #s(literal 1 binary64) N))
#s(approx (+ (/ 1 N) 1) (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (* N N) (*.f64 N N))
#s(approx (atan2 1 (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (- (* (* N N) N) -1) (fma.f64 (*.f64 N N) N #s(literal 1 binary64)))
#s(approx (* (* N N) N) (*.f64 (*.f64 N N) N))
#s(approx (+ (* N N) (+ (neg N) 1)) (-.f64 #s(literal 1 binary64) N))
#s(approx (+ (* N N) (+ (neg N) 1)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))
#s(approx (+ (* (- N -1) N) 1) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(approx (+ (* N N) 1) (fma.f64 N N #s(literal 1 binary64)))
#s(approx (+ 1 N) (-.f64 N #s(literal -1 binary64)))
#s(approx (+ (+ (/ 1 N) 1) (/ 1 (* N N))) (/.f64 (-.f64 N #s(literal -1 binary64)) N))
#s(approx (+ (+ (/ 1 N) 1) (/ 1 (* N N))) (-.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal -1 binary64)))
#s(approx (atan2 1 (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (- (* (* N N) N) -1) (fma.f64 (*.f64 N N) N #s(literal 1 binary64)))
#s(approx (+ (* N N) (+ (neg N) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N) N))
#s(approx (+ (* N N) (+ (neg N) 1)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (+ (neg N) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (atan2 1 (+ (* (/ (- (* (* N N) N) -1) (+ (* N N) (+ (neg N) 1))) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (+ (* N N) (+ (neg N) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 N N))) (*.f64 N N)))
#s(approx (+ (neg N) 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (neg.f64 N)))

eval107.0ms (3.7%)

Memory
-0.0MiB live, 139.4MiB allocated; 18ms collecting garbage
Compiler

Compiled 9 144 to 4 436 computations (51.5% saved)

prune24.0ms (0.8%)

Memory
-8.6MiB live, 37.2MiB allocated; 3ms collecting garbage
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New77111782
Fresh202
Picked415
Done112
Total77813791
Accuracy
99.7%
Counts
791 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64))))
99.3%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (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 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64))))
✓99.6%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
7.8%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64)))))
99.4%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (*.f64 (fma.f64 N (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 N N)))))
99.6%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (*.f64 (-.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal -1 binary64)) (*.f64 N N)))))
97.3%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (*.f64 #s(approx (+ (+ (/ 1 N) 1) (/ 1 (* N N))) (/.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 N N)))))
✓6.3%
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))))
99.4%
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))))
99.6%
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64)) N) N N)))
76.9%
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 N N) N) N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (neg.f64 N))))
99.6%
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
97.3%
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))))
Compiler

Compiled 487 to 387 computations (20.5% saved)

regimes14.0ms (0.5%)

Memory
17.6MiB live, 17.6MiB allocated; 0ms collecting garbage
Counts
27 → 1
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))))
(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) (neg.f64 N))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (*.f64 #s(approx (+ (+ (/ 1 N) 1) (/ 1 (* N N))) (/.f64 (-.f64 N #s(literal -1 binary64)) N)) (*.f64 N N)))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64)) N) N N)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (*.f64 (-.f64 (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal -1 binary64)) (*.f64 N N)))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 N N)))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 N N) N) N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (neg.f64 N))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 N N) N) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (*.f64 (fma.f64 N (/.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (*.f64 N N)))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (+.f64 N (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 N N) N) N) #s(literal 1 binary64)) (-.f64 (*.f64 N N) #s(literal 1 binary64)))))
#s(approx (atan2 (- (- N -1) N) (/ (- (* (- N -1) (- N -1)) (* (* (* N N) N) N)) (- (- N -1) (* N N)))) (atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (*.f64 (*.f64 (*.f64 N N) N) N)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (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 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (/.f64 (-.f64 (*.f64 (-.f64 N #s(literal -1 binary64)) (-.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 N N) N) N)) (-.f64 (-.f64 N #s(literal -1 binary64)) (*.f64 N N))))
(atan2.f64 (-.f64 (-.f64 N #s(literal -1 binary64)) N) (-.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 N #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 N N (+.f64 (neg.f64 N) #s(literal 1 binary64)))) N #s(literal 1 binary64))))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
Calls

2 calls:

7.0ms
N
5.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
99.6%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
99.6%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes7.0ms (0.2%)

Memory
-44.6MiB live, 6.2MiB allocated; 7ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N))))
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))))
(-.f64 (atan.f64 #s(approx (+ N 1) #s(literal 1 binary64))) (atan.f64 N))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ N (+ (* N N) 1))) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (fma.f64 N N N))))
Calls

2 calls:

5.0ms
N
1.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
97.3%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
97.3%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) #s(literal 1 binary64))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64)))))
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (+.f64 #s(literal 1 binary64) N))))
Outputs
#s(approx (atan2 (- (- N -1) N) (+ (* (- N -1) N) 1)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (- N -1) N) 1) (-.f64 N #s(literal -1 binary64)))))
Calls

2 calls:

1.0ms
N
1.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
7.8%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
7.8%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

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

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

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

Compiled 7 to 7 computations (0% saved)

derivations154.0ms (5.4%)

Memory
9.9MiB live, 100.9MiB allocated; 6ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 41 to 28 computations (31.7% saved)

preprocess37.0ms (1.3%)

Memory
20.2MiB live, 64.1MiB allocated; 5ms collecting garbage
Compiler

Compiled 63 to 46 computations (27% saved)

end0.0ms (0%)

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

Profiling

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