2atan (example 3.5)

Time bar (total: 7.9s)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory
1.6MiB live, 1.6MiB 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)

sample2.0s (25.1%)

Memory
33.2MiB live, 875.6MiB allocated; 258ms collecting garbage
Samples
1.4s7 274×1valid
226.0ms801×2valid
29.0ms181×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-atan: 821.0ms (59.9% of total)
adjust: 312.0ms (22.8% of total)
ival-sub!: 166.0ms (12.1% of total)
ival-add!: 73.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

preprocess168.0ms (2.1%)

Memory
-25.9MiB live, 17.7MiB allocated; 9ms 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
▶6.8%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 12 to 12 computations (0% saved)

series2.0ms (0%)

Memory
3.0MiB live, 3.0MiB 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))

rewrite761.0ms (9.7%)

Memory
-0.2MiB live, 394.4MiB allocated; 92ms collecting garbage
Counts
15 → 82
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
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(-.f64 (/.f64 (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (/.f64 (*.f64 (atan.f64 N) (atan.f64 N)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))))
(-.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 (+.f64 #s(literal 1 binary64) N))))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 (+.f64 #s(literal 1 binary64) N))))))
(/.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 (+.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))) (neg.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (atan.f64 N) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 (+.f64 #s(literal 1 binary64) N))))))
(atan2.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) N) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) N)
(*.f64 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(+.f64 (/.f64 (*.f64 N (*.f64 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 #s(literal 1 binary64) N)
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 N) #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 N (*.f64 N N)) (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 N (*.f64 (neg.f64 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 (neg.f64 (*.f64 N (*.f64 N N))) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 N (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) N)) N))
(-.f64 #s(literal 1 binary64) (neg.f64 N))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) (-.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 (-.f64 (*.f64 N N) #s(literal 1 binary64))) (neg.f64 (-.f64 N #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) N) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.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 N (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))) (fma.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)))
(/.f64 (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 (*.f64 N N) N #s(literal 1 binary64)) (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 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)))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) N)
(fma.f64 (/.f64 #s(literal 1 binary64) N) N N)
(fma.f64 N (/.f64 #s(literal 1 binary64) N) N)
(fma.f64 (/.f64 #s(literal 1 binary64) N) N (*.f64 (neg.f64 N) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 (neg.f64 N) #s(literal -1 binary64)))
(fma.f64 N (/.f64 #s(literal 1 binary64) N) (*.f64 (neg.f64 N) #s(literal -1 binary64)))
(fma.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (*.f64 (neg.f64 N) #s(literal -1 binary64)))
(fma.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) N)
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) N)
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 (neg.f64 N) #s(literal -1 binary64)))
(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64))
N
(*.f64 #s(literal 1 binary64) N)
(*.f64 N #s(literal 1 binary64))
(neg.f64 (neg.f64 N))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) N) N)
(*.f64 N (/.f64 #s(literal 1 binary64) N))
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))
(fabs.f64 #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(/.f64 N N)
(/.f64 (neg.f64 N) (neg.f64 N))
(/.f64 (+.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) N) N #s(literal 0 binary64))
(fma.f64 N (/.f64 #s(literal 1 binary64) N) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) #s(literal 0 binary64))
(neg.f64 #s(literal -1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(pow.f64 N #s(literal 0 binary64))
(atan.f64 N)
#s(approx (- (atan (+ 1 N)) (atan N)) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
#s(approx (atan (+ 1 N)) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
#s(approx (+ 1 N) #s(literal 1 binary64))
#s(approx (+ 1 N) (+.f64 #s(literal 1 binary64) N))
#s(approx N N)
#s(approx (atan N) (atan.f64 N))
#s(approx (+ 1 N) (+.f64 #s(literal 1 binary64) N))
#s(approx (- (atan (+ 1 N)) (atan N)) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
#s(approx (atan (+ 1 N)) (atan.f64 (+.f64 #s(literal 1 binary64) N)))

eval18.0ms (0.2%)

Memory
12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 536 to 309 computations (42.4% saved)

prune6.0ms (0.1%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New73275
Fresh000
Picked011
Done000
Total73376
Accuracy
14.4%
Counts
76 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶14.4%
(atan2.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) N) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
✓6.8%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
▶2.0%
(-.f64 (atan.f64 #s(approx (+ 1 N) #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 21 to 20 computations (4.8% saved)

series5.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Counts
10 → 16
Calls
Call 1
Inputs
(-.f64 (atan.f64 #s(approx (+ 1 N) #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 #s(approx (+ 1 N) #s(literal 1 binary64)))
#s(approx (+ 1 N) #s(literal 1 binary64))
#s(literal 1 binary64)
(atan.f64 N)
N
(atan2.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) N) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) N) N)
(+.f64 #s(literal 1 binary64) N)
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
Outputs
#s(approx (- (atan (+ 1 N)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (+ 1 N)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (+ 1 N) #s(hole binary64 1))
#s(approx (+ 1 N) #s(hole binary64 (+ 1 N)))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan2 (- (+ 1 N) 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 (+ 1 N) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (+ 1 N) 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 (+ 1 N)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (+ 1 N)) #s(hole binary64 (atan (- 1 (* -1 N)))))
#s(approx (atan2 (- (+ 1 N) N) (+ (* N (+ 1 N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
N
@-inf
((- (atan (+ 1 N)) (atan N)) (atan (+ 1 N)) (+ 1 N) 1 (atan N) N (atan2 (- (+ 1 N) N) (+ (* N (+ 1 N)) 1)) (- (+ 1 N) N) (+ 1 N) (+ (* N (+ 1 N)) 1))
1.0ms
N
@inf
((- (atan (+ 1 N)) (atan N)) (atan (+ 1 N)) (+ 1 N) 1 (atan N) N (atan2 (- (+ 1 N) N) (+ (* N (+ 1 N)) 1)) (- (+ 1 N) N) (+ 1 N) (+ (* N (+ 1 N)) 1))
1.0ms
N
@0
((- (atan (+ 1 N)) (atan N)) (atan (+ 1 N)) (+ 1 N) 1 (atan N) N (atan2 (- (+ 1 N) N) (+ (* N (+ 1 N)) 1)) (- (+ 1 N) N) (+ 1 N) (+ (* N (+ 1 N)) 1))

rewrite816.0ms (10.4%)

Memory
-11.6MiB live, 627.6MiB allocated; 207ms collecting garbage
Counts
26 → 222
Calls
Call 1
Inputs
(-.f64 (atan.f64 #s(approx (+ 1 N) #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 #s(approx (+ 1 N) #s(literal 1 binary64)))
#s(approx (+ 1 N) #s(literal 1 binary64))
#s(literal 1 binary64)
(atan.f64 N)
N
(atan2.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) N) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) N) N)
(+.f64 #s(literal 1 binary64) N)
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
#s(approx (- (atan (+ 1 N)) (atan N)) #s(hole binary64 (- (atan (+ 1 N)) (atan N))))
#s(approx (atan (+ 1 N)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (+ 1 N) #s(hole binary64 1))
#s(approx (+ 1 N) #s(hole binary64 (+ 1 N)))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx N #s(hole binary64 N))
#s(approx (atan2 (- (+ 1 N) 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 (+ 1 N) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (atan2 (- (+ 1 N) 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 (+ 1 N)) (atan N)) #s(hole binary64 (- (atan (- 1 (* -1 N))) (atan N))))
#s(approx (atan (+ 1 N)) #s(hole binary64 (atan (- 1 (* -1 N)))))
#s(approx (atan2 (- (+ 1 N) N) (+ (* N (+ 1 N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
Outputs
(-.f64 (atan.f64 #s(approx (+ 1 N) #s(literal 1 binary64))) (atan.f64 N))
(atan.f64 #s(approx (+ 1 N) #s(literal 1 binary64)))
#s(approx (+ 1 N) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) N) N)
(*.f64 N (/.f64 #s(literal 1 binary64) N))
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))
(fabs.f64 #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(+.f64 N (-.f64 #s(literal 1 binary64) N))
(+.f64 #s(literal 0 binary64) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) N) N)
(-.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (+.f64 (neg.f64 N) N))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (+.f64 (+.f64 #s(literal 1 binary64) N) N)) (/.f64 (*.f64 N N) (+.f64 (+.f64 #s(literal 1 binary64) N) N)))
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(fma.f64 N #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 N N)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(fma.f64 N (*.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 N N) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 N N) (+.f64 #s(literal 1 binary64) (*.f64 N N)))
(fma.f64 (/.f64 #s(literal 1 binary64) N) N (fma.f64 N N N))
(fma.f64 (neg.f64 N) (neg.f64 N) (+.f64 #s(literal 1 binary64) N))
(fma.f64 #s(literal 1 binary64) (fma.f64 N N N) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) N (+.f64 #s(literal 1 binary64) (*.f64 N N)))
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) N (*.f64 N N))
(fma.f64 (*.f64 (neg.f64 N) #s(literal -1 binary64)) N (+.f64 #s(literal 1 binary64) N))
(fma.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) N #s(literal 1 binary64))
(fma.f64 (*.f64 N N) (/.f64 #s(literal 1 binary64) N) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 (*.f64 N N) (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) (*.f64 N N)))
(fma.f64 (fma.f64 N N N) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 N N) #s(literal 1 binary64) (+.f64 #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 N N) (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 N) (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 (fabs.f64 (neg.f64 N)) (fabs.f64 (neg.f64 N)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 N N)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (neg.f64 (*.f64 N N)) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (fma.f64 N N N))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (fma.f64 N N N))
#s(approx (- (atan (+ 1 N)) (atan N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
#s(approx (atan (+ 1 N)) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
#s(approx (+ 1 N) #s(literal 1 binary64))
#s(approx (+ 1 N) (+.f64 #s(literal 1 binary64) N))
#s(approx (atan N) (atan.f64 N))
#s(approx N N)
#s(approx (- (atan (+ 1 N)) (atan N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
#s(approx (+ 1 (+ N (* N N))) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
#s(approx (+ 1 N) (+.f64 #s(literal 1 binary64) N))
#s(approx (- (atan (+ 1 N)) (atan N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
#s(approx (+ 1 (+ N (* N N))) (*.f64 N N))
#s(approx (+ 1 (+ N (* N N))) (fma.f64 N N N))
#s(approx (+ 1 (+ N (* N N))) (fma.f64 N N (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N) N)))
#s(approx (- (atan (+ 1 N)) (atan N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
#s(approx (atan (+ 1 N)) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
#s(approx (- (atan (+ 1 N)) (atan N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))

eval59.0ms (0.8%)

Memory
-33.3MiB live, 60.3MiB allocated; 26ms collecting garbage
Compiler

Compiled 2 136 to 857 computations (59.9% saved)

prune6.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2135218
Fresh000
Picked112
Done101
Total2156221
Accuracy
99.6%
Counts
221 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶14.4%
(atan2.f64 (-.f64 (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) N) N) N) (fma.f64 N (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) N) N) (-.f64 (+.f64 #s(literal 1 binary64) N) N)))
▶14.3%
(atan2.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) N) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
▶14.4%
(atan2.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
▶99.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
▶99.4%
(/.f64 (*.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
✓2.0%
(-.f64 (atan.f64 #s(approx (+ 1 N) #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 106 to 86 computations (18.9% saved)

series6.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated; 0ms collecting garbage
Counts
23 → 25
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
#s(literal 1 binary64)
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
N
(+.f64 #s(literal 1 binary64) N)
(atan2.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) N) N)
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 N N #s(literal 1 binary64))
(atan2.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) 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 (-.f64 (+.f64 #s(literal 1 binary64) N) N) N) N) (fma.f64 N (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) N) N) (-.f64 (+.f64 #s(literal 1 binary64) N) N)))
(-.f64 (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) N) N) N)
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) N) N)
(fma.f64 N (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) N) N) (-.f64 (+.f64 #s(literal 1 binary64) N) N))
(/.f64 (*.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
(*.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 N)
Outputs
#s(approx (atan2 1 (+ (* N N) (+ 1 N))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* N N) (+ 1 N)) #s(hole binary64 1))
#s(approx (+ (* N N) (+ 1 N)) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* N N) (+ 1 N)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx N #s(hole binary64 N))
#s(approx (+ (* N N) 1) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx (atan2 (- (+ 1 N) 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 (- (+ (- (+ 1 N) N) N) N) (+ (* N (+ (- (+ 1 N) N) N)) (- (+ 1 N) N))) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (* (+ (atan (+ 1 N)) (atan N)) (atan2 1 (+ (* N N) (+ 1 N)))) #s(hole binary64 (* (+ (atan N) (atan (+ 1 N))) (atan2 1 (+ 1 (+ N (pow N 2)))))))
#s(approx (+ (atan (+ 1 N)) (atan N)) #s(hole binary64 (+ (atan N) (atan (+ 1 N)))))
#s(approx (atan (+ 1 N)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx (+ (* N N) (+ 1 N)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* N N) (+ 1 N)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ 1 N) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ (* N N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 (pow N 2))))))
#s(approx (+ (/ 1 N) 1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (atan2 1 (+ (* N N) (+ 1 N))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (+ (- (+ 1 N) N) N) N) (+ (* N (+ (- (+ 1 N) N) N)) (- (+ 1 N) N))) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (* (+ (atan (+ 1 N)) (atan N)) (atan2 1 (+ (* N N) (+ 1 N)))) #s(hole binary64 (* (+ (atan N) (atan (- 1 (* -1 N)))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))))
#s(approx (+ (atan (+ 1 N)) (atan N)) #s(hole binary64 (+ (atan N) (atan (- 1 (* -1 N))))))
#s(approx (atan (+ 1 N)) #s(hole binary64 (atan (- 1 (* -1 N)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
N
@-inf
((atan2 1 (+ (* N N) (+ 1 N))) 1 (+ (* N N) (+ 1 N)) N (+ 1 N) (atan2 (- (+ 1 N) N) (+ N (+ (* N N) 1))) (- (+ 1 N) N) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (- (+ 1 N) N) (+ (* (+ (/ 1 N) 1) (* N N)) 1)) (+ (* (+ (/ 1 N) 1) (* N N)) 1) (+ (/ 1 N) 1) (/ 1 N) (* N N) (atan2 (- (+ (- (+ 1 N) N) N) N) (+ (* N (+ (- (+ 1 N) N) N)) (- (+ 1 N) N))) (- (+ (- (+ 1 N) N) N) N) (+ (- (+ 1 N) N) N) (+ (* N (+ (- (+ 1 N) N) N)) (- (+ 1 N) N)) (/ (* (+ (atan (+ 1 N)) (atan N)) (atan2 1 (+ (* N N) (+ 1 N)))) (+ (atan (+ 1 N)) (atan N))) (* (+ (atan (+ 1 N)) (atan N)) (atan2 1 (+ (* N N) (+ 1 N)))) (+ (atan (+ 1 N)) (atan N)) (atan (+ 1 N)) (atan N))
1.0ms
N
@inf
((atan2 1 (+ (* N N) (+ 1 N))) 1 (+ (* N N) (+ 1 N)) N (+ 1 N) (atan2 (- (+ 1 N) N) (+ N (+ (* N N) 1))) (- (+ 1 N) N) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (- (+ 1 N) N) (+ (* (+ (/ 1 N) 1) (* N N)) 1)) (+ (* (+ (/ 1 N) 1) (* N N)) 1) (+ (/ 1 N) 1) (/ 1 N) (* N N) (atan2 (- (+ (- (+ 1 N) N) N) N) (+ (* N (+ (- (+ 1 N) N) N)) (- (+ 1 N) N))) (- (+ (- (+ 1 N) N) N) N) (+ (- (+ 1 N) N) N) (+ (* N (+ (- (+ 1 N) N) N)) (- (+ 1 N) N)) (/ (* (+ (atan (+ 1 N)) (atan N)) (atan2 1 (+ (* N N) (+ 1 N)))) (+ (atan (+ 1 N)) (atan N))) (* (+ (atan (+ 1 N)) (atan N)) (atan2 1 (+ (* N N) (+ 1 N)))) (+ (atan (+ 1 N)) (atan N)) (atan (+ 1 N)) (atan N))
1.0ms
N
@0
((atan2 1 (+ (* N N) (+ 1 N))) 1 (+ (* N N) (+ 1 N)) N (+ 1 N) (atan2 (- (+ 1 N) N) (+ N (+ (* N N) 1))) (- (+ 1 N) N) (+ N (+ (* N N) 1)) (+ (* N N) 1) (atan2 (- (+ 1 N) N) (+ (* (+ (/ 1 N) 1) (* N N)) 1)) (+ (* (+ (/ 1 N) 1) (* N N)) 1) (+ (/ 1 N) 1) (/ 1 N) (* N N) (atan2 (- (+ (- (+ 1 N) N) N) N) (+ (* N (+ (- (+ 1 N) N) N)) (- (+ 1 N) N))) (- (+ (- (+ 1 N) N) N) N) (+ (- (+ 1 N) N) N) (+ (* N (+ (- (+ 1 N) N) N)) (- (+ 1 N) N)) (/ (* (+ (atan (+ 1 N)) (atan N)) (atan2 1 (+ (* N N) (+ 1 N)))) (+ (atan (+ 1 N)) (atan N))) (* (+ (atan (+ 1 N)) (atan N)) (atan2 1 (+ (* N N) (+ 1 N)))) (+ (atan (+ 1 N)) (atan N)) (atan (+ 1 N)) (atan N))

rewrite1.7s (22%)

Memory
-66.1MiB live, 854.8MiB allocated; 1.2s collecting garbage
Counts
48 → 2 234
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
#s(literal 1 binary64)
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
N
(+.f64 #s(literal 1 binary64) N)
(atan2.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) N) N)
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 N N #s(literal 1 binary64))
(atan2.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) 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 (-.f64 (+.f64 #s(literal 1 binary64) N) N) N) N) (fma.f64 N (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) N) N) (-.f64 (+.f64 #s(literal 1 binary64) N) N)))
(-.f64 (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) N) N) N)
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) N) N)
(fma.f64 N (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) N) N) (-.f64 (+.f64 #s(literal 1 binary64) N) N))
(/.f64 (*.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
(*.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 N)
#s(approx (atan2 1 (+ (* N N) (+ 1 N))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* N N) (+ 1 N)) #s(hole binary64 1))
#s(approx (+ (* N N) (+ 1 N)) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* N N) (+ 1 N)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx N #s(hole binary64 N))
#s(approx (+ (* N N) 1) #s(hole binary64 (+ 1 (pow N 2))))
#s(approx (atan2 (- (+ 1 N) 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 (- (+ (- (+ 1 N) N) N) N) (+ (* N (+ (- (+ 1 N) N) N)) (- (+ 1 N) N))) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (* (+ (atan (+ 1 N)) (atan N)) (atan2 1 (+ (* N N) (+ 1 N)))) #s(hole binary64 (* (+ (atan N) (atan (+ 1 N))) (atan2 1 (+ 1 (+ N (pow N 2)))))))
#s(approx (+ (atan (+ 1 N)) (atan N)) #s(hole binary64 (+ (atan N) (atan (+ 1 N)))))
#s(approx (atan (+ 1 N)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx (+ (* N N) (+ 1 N)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* N N) (+ 1 N)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ 1 N) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (+ (* N N) 1) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 (pow N 2))))))
#s(approx (+ (/ 1 N) 1) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (atan2 1 (+ (* N N) (+ 1 N))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 (- (+ (- (+ 1 N) N) N) N) (+ (* N (+ (- (+ 1 N) N) N)) (- (+ 1 N) N))) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (* (+ (atan (+ 1 N)) (atan N)) (atan2 1 (+ (* N N) (+ 1 N)))) #s(hole binary64 (* (+ (atan N) (atan (- 1 (* -1 N)))) (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))))
#s(approx (+ (atan (+ 1 N)) (atan N)) #s(hole binary64 (+ (atan N) (atan (- 1 (* -1 N))))))
#s(approx (atan (+ 1 N)) #s(hole binary64 (atan (- 1 (* -1 N)))))
Outputs
(*.f64 (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
(*.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))))
(*.f64 (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (*.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))))) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))))
(*.f64 (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (+.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)))) (fma.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (atan.f64 N) (atan.f64 N))))
(*.f64 (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (+.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)))) (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 (+.f64 #s(literal 1 binary64) N)))))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
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(+.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (atan.f64 N)))
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(/.f64 (*.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))))) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))))
(/.f64 (-.f64 (*.f64 (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (*.f64 (*.f64 (atan.f64 N) (atan.f64 N)) (*.f64 (atan.f64 N) (atan.f64 N)))) (fma.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 (+.f64 #s(literal 1 binary64) N)) (*.f64 (atan.f64 N) (atan.f64 N))))
(/.f64 (*.f64 (+.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (fma.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (atan.f64 N) (atan.f64 N))))
(/.f64 (*.f64 (+.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 (+.f64 #s(literal 1 binary64) N)))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)))) (fma.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (atan.f64 N) (atan.f64 N))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)))) (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 (+.f64 #s(literal 1 binary64) N)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64)) (pow.f64 (*.f64 (atan.f64 N) (atan.f64 N)) #s(literal 3 binary64))) (fma.f64 (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (fma.f64 (*.f64 (atan.f64 N) (atan.f64 N)) (*.f64 (atan.f64 N) (atan.f64 N)) (*.f64 (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (*.f64 (atan.f64 N) (atan.f64 N))))))
(fma.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (atan.f64 N) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (atan.f64 (+.f64 #s(literal 1 binary64) N))))
(fma.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (atan.f64 (+.f64 #s(literal 1 binary64) N)) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (atan.f64 N)))
(fma.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (atan.f64 N) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(fma.f64 (atan.f64 N) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(fma.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 (+.f64 #s(literal 1 binary64) N)) (*.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (fabs.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) (fabs.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) (*.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(fma.f64 (neg.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) (neg.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N))) (*.f64 (neg.f64 (atan.f64 N)) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
(+.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (atan.f64 N) (atan.f64 N)))) (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (fma.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (atan.f64 N) (atan.f64 N)))))
(+.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 (+.f64 #s(literal 1 binary64) N))))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 (+.f64 #s(literal 1 binary64) N))))))
(-.f64 (/.f64 (*.f64 (atan.f64 N) (atan.f64 N)) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (/.f64 (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))))
(-.f64 (/.f64 (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (atan.f64 N) (atan.f64 N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))))
(/.f64 (+.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))) (fma.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (atan.f64 N) (atan.f64 N))))
(/.f64 (+.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))) (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 (+.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))))) (neg.f64 (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (atan.f64 N) (atan.f64 N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 (+.f64 #s(literal 1 binary64) N))))))
(atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 N)
#s(approx (- (atan (+ 1 N)) (atan N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* N N) (+ 1 N)) #s(literal 1 binary64))
#s(approx (+ (* N N) (+ 1 N)) (+.f64 #s(literal 1 binary64) N))
#s(approx (+ (* N N) (+ 1 N)) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx N N)
#s(approx (+ (* N N) 1) (fma.f64 N N #s(literal 1 binary64)))
#s(approx (- (atan (+ 1 N)) (atan N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (+ 1 N) N) (/.f64 #s(literal 1 binary64) N))
#s(approx (/ (+ 1 N) N) (/.f64 (+.f64 #s(literal 1 binary64) N) N))
#s(approx (* N N) (*.f64 N N))
#s(approx (- (atan (+ 1 N)) (atan N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (- (pow (atan (+ 1 N)) 2) (pow (atan N) 2)) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))))
#s(approx (+ (atan N) (atan (+ 1 N))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
#s(approx (atan (+ 1 N)) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
#s(approx (atan N) (atan.f64 N))
#s(approx (+ (* N N) (+ 1 N)) (fma.f64 N N N))
#s(approx (+ (* N N) (+ 1 N)) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (+ 1 N) (+.f64 #s(literal 1 binary64) N))
#s(approx (+ (* N N) 1) (fma.f64 N N #s(literal 1 binary64)))
#s(approx (/ (+ 1 N) N) (/.f64 (+.f64 #s(literal 1 binary64) N) N))
#s(approx (- (atan (+ 1 N)) (atan N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (- (atan (+ 1 N)) (atan N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (- (pow (atan (+ 1 N)) 2) (pow (atan N) 2)) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N))))))
#s(approx (+ (atan N) (atan (+ 1 N))) (+.f64 (atan.f64 N) (atan.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N)))))
#s(approx (atan (+ 1 N)) (atan.f64 (-.f64 #s(literal 1 binary64) (neg.f64 N))))

eval391.0ms (5%)

Memory
37.5MiB live, 444.9MiB allocated; 96ms collecting garbage
Compiler

Compiled 41 747 to 7 827 computations (81.3% saved)

prune62.0ms (0.8%)

Memory
-12.2MiB live, 80.9MiB allocated; 6ms collecting garbage
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New2 360242 384
Fresh000
Picked505
Done101
Total2 366242 390
Accuracy
99.9%
Counts
2 390 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(atan2.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) N) (fma.f64 N N (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) N) N)))
99.2%
(atan2.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N) N) (fma.f64 N N (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N) N) N)))
▶99.5%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) (*.f64 N N) #s(literal 1 binary64)))
99.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
▶99.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (fma.f64 (/.f64 #s(literal 1 binary64) N) N N)))
50.4%
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 N N N) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 N N (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))
50.2%
(atan2.f64 #s(literal 1 binary64) (/.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 N N) N) (*.f64 (*.f64 N N) N))) (fma.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)) (*.f64 (*.f64 N N) (*.f64 N N)))))
50.3%
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 N N) N (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 N N))))
75.2%
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 N #s(literal 1 binary64)))))
▶99.5%
(atan2.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)))) (*.f64 N N)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))))
99.6%
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N (-.f64 N #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) N)) N))
99.6%
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
97.6%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ 1 N)) (fma.f64 N N N)))
7.7%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ 1 N)) (+.f64 #s(literal 1 binary64) N)))
▶6.1%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ 1 N)) #s(literal 1 binary64)))
99.3%
(/.f64 (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)))) (fma.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (atan.f64 N) (atan.f64 N)))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
▶78.2%
(/.f64 (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
99.6%
(/.f64 (*.f64 (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
99.3%
(/.f64 (*.f64 (+.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))) (fma.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (atan.f64 N) (atan.f64 N))))
97.5%
(/.f64 (*.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ 1 N)) (fma.f64 N N N)))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
78.4%
(/.f64 (*.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))))
78.0%
(/.f64 (*.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
99.5%
(*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
99.3%
(*.f64 (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (+.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)))) (fma.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (atan.f64 N) (atan.f64 N))))
Compiler

Compiled 772 to 544 computations (29.5% saved)

series12.0ms (0.2%)

Memory
10.6MiB live, 10.6MiB allocated; 0ms collecting garbage
Counts
33 → 55
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (fma.f64 (/.f64 #s(literal 1 binary64) N) N N)))
#s(literal 1 binary64)
(fma.f64 N N (fma.f64 (/.f64 #s(literal 1 binary64) N) N N))
N
(fma.f64 (/.f64 #s(literal 1 binary64) N) N N)
(/.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ 1 N)) #s(literal 1 binary64)))
#s(approx (+ (* N N) (+ 1 N)) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) (*.f64 N N) #s(literal 1 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) (*.f64 N N) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(+.f64 #s(literal 1 binary64) N)
(*.f64 N N)
(atan2.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)))) (*.f64 N N)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)))) (*.f64 N N)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)))) (*.f64 N N))
(-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(/.f64 (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 N)
Outputs
#s(approx (atan2 1 (+ (* N N) (+ (* (/ 1 N) N) N))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* N N) (+ (* (/ 1 N) N) N)) #s(hole binary64 1))
#s(approx (+ (* N N) (+ (* (/ 1 N) N) N)) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* N N) (+ (* (/ 1 N) N) N)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx N #s(hole binary64 N))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx (atan2 1 (+ (* (/ (+ 1 N) N) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (/ (+ 1 N) N) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 1 (/ (* (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) (* N N)) (- (- 1 (/ 1 N)) (/ 1 (* N N))))) #s(hole binary64 (atan2 1 (/ (* (pow N 2) (- 1 (pow (+ (/ 1 N) (/ 1 (pow N 2))) 2))) (- 1 (+ (/ 1 N) (/ 1 (pow N 2))))))))
#s(approx (* (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) (* N N)) #s(hole binary64 (/ -1 (pow N 2))))
#s(approx (* (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) (* N N)) #s(hole binary64 (/ (- (* -2 N) 1) (pow N 2))))
#s(approx (* (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) (* N N)) #s(hole binary64 (/ (- (* N (- (* -1 N) 2)) 1) (pow N 2))))
#s(approx (* (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) (* N N)) #s(hole binary64 (/ (- (* N (- (* N (- (pow N 2) 1)) 2)) 1) (pow N 2))))
#s(approx (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) #s(hole binary64 (/ -1 (pow N 4))))
#s(approx (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) #s(hole binary64 (/ (- (* -2 N) 1) (pow N 4))))
#s(approx (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) #s(hole binary64 (/ (- (* N (- (* -1 N) 2)) 1) (pow N 4))))
#s(approx (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) #s(hole binary64 (/ (- (* N (- (* N (- (pow N 2) 1)) 2)) 1) (pow N 4))))
#s(approx (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N))) #s(hole binary64 (/ 1 (pow N 4))))
#s(approx (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N))) #s(hole binary64 (/ (+ 1 (* 2 N)) (pow N 4))))
#s(approx (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N))) #s(hole binary64 (/ (+ 1 (* N (+ 2 N))) (pow N 4))))
#s(approx (+ (/ 1 (* N N)) (/ 1 N)) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (+ (/ 1 (* N N)) (/ 1 N)) #s(hole binary64 (/ (+ 1 N) (pow N 2))))
#s(approx (- (- 1 (/ 1 N)) (/ 1 (* N N))) #s(hole binary64 (/ (- (* -1 N) 1) (pow N 2))))
#s(approx (- (- 1 (/ 1 N)) (/ 1 (* N N))) #s(hole binary64 (/ (- (* N (- N 1)) 1) (pow N 2))))
#s(approx (- 1 (/ 1 N)) #s(hole binary64 (/ -1 N)))
#s(approx (- 1 (/ 1 N)) #s(hole binary64 (/ (- N 1) N)))
#s(approx (/ (* (atan2 1 (+ (* N (- N -1)) 1)) (* (atan2 1 (+ (* N (- N -1)) 1)) (+ (atan (+ 1 N)) (atan N)))) (atan2 1 (+ (* N (- N -1)) 1))) #s(hole binary64 (* (+ (atan N) (atan (+ 1 N))) (atan2 1 (+ 1 (* N (+ 1 N)))))))
#s(approx (* (atan2 1 (+ (* N (- N -1)) 1)) (* (atan2 1 (+ (* N (- N -1)) 1)) (+ (atan (+ 1 N)) (atan N)))) #s(hole binary64 (* (+ (atan N) (atan (+ 1 N))) (pow (atan2 1 (+ 1 (* N (+ 1 N)))) 2))))
#s(approx (+ (atan (+ 1 N)) (atan N)) #s(hole binary64 (+ (atan N) (atan (+ 1 N)))))
#s(approx (atan (+ 1 N)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx (+ (* N N) (+ (* (/ 1 N) N) N)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* N N) (+ (* (/ 1 N) N) N)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (/ 1 N) N) N) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (/ (+ 1 N) N) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (* (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) (* N N)) #s(hole binary64 (* (pow N 2) (- 1 (/ 1 (pow N 2))))))
#s(approx (* (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) (* N N)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (+ 1 (* 2 (/ 1 N))) (pow N 2)))))))
#s(approx (* (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) (* N N)) #s(hole binary64 (* (pow N 2) (- (+ 1 (* -1 (/ (+ 2 (/ 1 N)) (pow N 3)))) (/ 1 (pow N 2))))))
#s(approx (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) #s(hole binary64 (- 1 (/ 1 (pow N 2)))))
#s(approx (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* 2 (/ 1 N))) (pow N 2))))))
#s(approx (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ 2 (/ 1 N)) (pow N 3)))) (/ 1 (pow N 2)))))
#s(approx (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N))) #s(hole binary64 (/ (+ 1 (* 2 (/ 1 N))) (pow N 2))))
#s(approx (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N))) #s(hole binary64 (/ (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))) (pow N 2))))
#s(approx (+ (/ 1 (* N N)) (/ 1 N)) #s(hole binary64 (/ (+ 1 (/ 1 N)) N)))
#s(approx (- (- 1 (/ 1 N)) (/ 1 (* N N))) #s(hole binary64 (- 1 (/ 1 N))))
#s(approx (- (- 1 (/ 1 N)) (/ 1 (* N N))) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (/ 1 N)) N)))))
#s(approx (/ (* (atan2 1 (+ (* N (- N -1)) 1)) (* (atan2 1 (+ (* N (- N -1)) 1)) (+ (atan (+ 1 N)) (atan N)))) (atan2 1 (+ (* N (- N -1)) 1))) #s(hole binary64 (* (+ (atan N) (atan (+ 1 N))) (atan2 1 (+ 1 (+ N (pow N 2)))))))
#s(approx (* (atan2 1 (+ (* N (- N -1)) 1)) (* (atan2 1 (+ (* N (- N -1)) 1)) (+ (atan (+ 1 N)) (atan N)))) #s(hole binary64 (* (+ (atan N) (atan (+ 1 N))) (pow (atan2 1 (+ 1 (+ N (pow N 2)))) 2))))
#s(approx (atan2 1 (+ (* N N) (+ (* (/ 1 N) N) N))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 1 (+ (* (/ (+ 1 N) N) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (/ (* (atan2 1 (+ (* N (- N -1)) 1)) (* (atan2 1 (+ (* N (- N -1)) 1)) (+ (atan (+ 1 N)) (atan N)))) (atan2 1 (+ (* N (- N -1)) 1))) #s(hole binary64 (* (+ (atan N) (atan (- 1 (* -1 N)))) (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))))
#s(approx (* (atan2 1 (+ (* N (- N -1)) 1)) (* (atan2 1 (+ (* N (- N -1)) 1)) (+ (atan (+ 1 N)) (atan N)))) #s(hole binary64 (* (+ (atan N) (atan (- 1 (* -1 N)))) (pow (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) 2))))
#s(approx (+ (atan (+ 1 N)) (atan N)) #s(hole binary64 (+ (atan N) (atan (- 1 (* -1 N))))))
#s(approx (atan (+ 1 N)) #s(hole binary64 (atan (- 1 (* -1 N)))))
Calls

3 calls:

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

rewrite1.5s (19.1%)

Memory
-6.3MiB live, 703.6MiB allocated; 194ms collecting garbage
Counts
88 → 1 749
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (fma.f64 (/.f64 #s(literal 1 binary64) N) N N)))
#s(literal 1 binary64)
(fma.f64 N N (fma.f64 (/.f64 #s(literal 1 binary64) N) N N))
N
(fma.f64 (/.f64 #s(literal 1 binary64) N) N N)
(/.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ 1 N)) #s(literal 1 binary64)))
#s(approx (+ (* N N) (+ 1 N)) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) (*.f64 N N) #s(literal 1 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) (*.f64 N N) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) N) N)
(+.f64 #s(literal 1 binary64) N)
(*.f64 N N)
(atan2.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)))) (*.f64 N N)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)))) (*.f64 N N)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)))) (*.f64 N N))
(-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N))
(/.f64 (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 N #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
(+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 N)
#s(approx (atan2 1 (+ (* N N) (+ (* (/ 1 N) N) N))) #s(hole binary64 (atan2 1 (+ 1 (+ N (pow N 2))))))
#s(approx (+ (* N N) (+ (* (/ 1 N) N) N)) #s(hole binary64 1))
#s(approx (+ (* N N) (+ (* (/ 1 N) N) N)) #s(hole binary64 (+ 1 N)))
#s(approx (+ (* N N) (+ (* (/ 1 N) N) N)) #s(hole binary64 (+ 1 (* N (+ 1 N)))))
#s(approx N #s(hole binary64 N))
#s(approx (/ 1 N) #s(hole binary64 (/ 1 N)))
#s(approx (atan2 1 (+ (* (/ (+ 1 N) N) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (+ 1 N))))))
#s(approx (/ (+ 1 N) N) #s(hole binary64 (/ (+ 1 N) N)))
#s(approx (* N N) #s(hole binary64 (pow N 2)))
#s(approx (atan2 1 (/ (* (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) (* N N)) (- (- 1 (/ 1 N)) (/ 1 (* N N))))) #s(hole binary64 (atan2 1 (/ (* (pow N 2) (- 1 (pow (+ (/ 1 N) (/ 1 (pow N 2))) 2))) (- 1 (+ (/ 1 N) (/ 1 (pow N 2))))))))
#s(approx (* (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) (* N N)) #s(hole binary64 (/ -1 (pow N 2))))
#s(approx (* (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) (* N N)) #s(hole binary64 (/ (- (* -2 N) 1) (pow N 2))))
#s(approx (* (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) (* N N)) #s(hole binary64 (/ (- (* N (- (* -1 N) 2)) 1) (pow N 2))))
#s(approx (* (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) (* N N)) #s(hole binary64 (/ (- (* N (- (* N (- (pow N 2) 1)) 2)) 1) (pow N 2))))
#s(approx (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) #s(hole binary64 (/ -1 (pow N 4))))
#s(approx (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) #s(hole binary64 (/ (- (* -2 N) 1) (pow N 4))))
#s(approx (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) #s(hole binary64 (/ (- (* N (- (* -1 N) 2)) 1) (pow N 4))))
#s(approx (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) #s(hole binary64 (/ (- (* N (- (* N (- (pow N 2) 1)) 2)) 1) (pow N 4))))
#s(approx (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N))) #s(hole binary64 (/ 1 (pow N 4))))
#s(approx (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N))) #s(hole binary64 (/ (+ 1 (* 2 N)) (pow N 4))))
#s(approx (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N))) #s(hole binary64 (/ (+ 1 (* N (+ 2 N))) (pow N 4))))
#s(approx (+ (/ 1 (* N N)) (/ 1 N)) #s(hole binary64 (/ 1 (pow N 2))))
#s(approx (+ (/ 1 (* N N)) (/ 1 N)) #s(hole binary64 (/ (+ 1 N) (pow N 2))))
#s(approx (- (- 1 (/ 1 N)) (/ 1 (* N N))) #s(hole binary64 (/ (- (* -1 N) 1) (pow N 2))))
#s(approx (- (- 1 (/ 1 N)) (/ 1 (* N N))) #s(hole binary64 (/ (- (* N (- N 1)) 1) (pow N 2))))
#s(approx (- 1 (/ 1 N)) #s(hole binary64 (/ -1 N)))
#s(approx (- 1 (/ 1 N)) #s(hole binary64 (/ (- N 1) N)))
#s(approx (/ (* (atan2 1 (+ (* N (- N -1)) 1)) (* (atan2 1 (+ (* N (- N -1)) 1)) (+ (atan (+ 1 N)) (atan N)))) (atan2 1 (+ (* N (- N -1)) 1))) #s(hole binary64 (* (+ (atan N) (atan (+ 1 N))) (atan2 1 (+ 1 (* N (+ 1 N)))))))
#s(approx (* (atan2 1 (+ (* N (- N -1)) 1)) (* (atan2 1 (+ (* N (- N -1)) 1)) (+ (atan (+ 1 N)) (atan N)))) #s(hole binary64 (* (+ (atan N) (atan (+ 1 N))) (pow (atan2 1 (+ 1 (* N (+ 1 N)))) 2))))
#s(approx (+ (atan (+ 1 N)) (atan N)) #s(hole binary64 (+ (atan N) (atan (+ 1 N)))))
#s(approx (atan (+ 1 N)) #s(hole binary64 (atan (+ 1 N))))
#s(approx (atan N) #s(hole binary64 (atan N)))
#s(approx (+ (* N N) (+ (* (/ 1 N) N) N)) #s(hole binary64 (* (pow N 2) (+ 1 (/ 1 N)))))
#s(approx (+ (* N N) (+ (* (/ 1 N) N) N)) #s(hole binary64 (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))))
#s(approx (+ (* (/ 1 N) N) N) #s(hole binary64 (* N (+ 1 (/ 1 N)))))
#s(approx (/ (+ 1 N) N) #s(hole binary64 (+ 1 (/ 1 N))))
#s(approx (* (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) (* N N)) #s(hole binary64 (* (pow N 2) (- 1 (/ 1 (pow N 2))))))
#s(approx (* (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) (* N N)) #s(hole binary64 (* (pow N 2) (+ 1 (* -1 (/ (+ 1 (* 2 (/ 1 N))) (pow N 2)))))))
#s(approx (* (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) (* N N)) #s(hole binary64 (* (pow N 2) (- (+ 1 (* -1 (/ (+ 2 (/ 1 N)) (pow N 3)))) (/ 1 (pow N 2))))))
#s(approx (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) #s(hole binary64 (- 1 (/ 1 (pow N 2)))))
#s(approx (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* 2 (/ 1 N))) (pow N 2))))))
#s(approx (- 1 (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ 2 (/ 1 N)) (pow N 3)))) (/ 1 (pow N 2)))))
#s(approx (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N))) #s(hole binary64 (/ (+ 1 (* 2 (/ 1 N))) (pow N 2))))
#s(approx (* (+ (/ 1 (* N N)) (/ 1 N)) (+ (/ 1 (* N N)) (/ 1 N))) #s(hole binary64 (/ (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))) (pow N 2))))
#s(approx (+ (/ 1 (* N N)) (/ 1 N)) #s(hole binary64 (/ (+ 1 (/ 1 N)) N)))
#s(approx (- (- 1 (/ 1 N)) (/ 1 (* N N))) #s(hole binary64 (- 1 (/ 1 N))))
#s(approx (- (- 1 (/ 1 N)) (/ 1 (* N N))) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (/ 1 N)) N)))))
#s(approx (/ (* (atan2 1 (+ (* N (- N -1)) 1)) (* (atan2 1 (+ (* N (- N -1)) 1)) (+ (atan (+ 1 N)) (atan N)))) (atan2 1 (+ (* N (- N -1)) 1))) #s(hole binary64 (* (+ (atan N) (atan (+ 1 N))) (atan2 1 (+ 1 (+ N (pow N 2)))))))
#s(approx (* (atan2 1 (+ (* N (- N -1)) 1)) (* (atan2 1 (+ (* N (- N -1)) 1)) (+ (atan (+ 1 N)) (atan N)))) #s(hole binary64 (* (+ (atan N) (atan (+ 1 N))) (pow (atan2 1 (+ 1 (+ N (pow N 2)))) 2))))
#s(approx (atan2 1 (+ (* N N) (+ (* (/ 1 N) N) N))) #s(hole binary64 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
#s(approx (atan2 1 (+ (* (/ (+ 1 N) N) (* N N)) 1)) #s(hole binary64 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))))
#s(approx (/ (* (atan2 1 (+ (* N (- N -1)) 1)) (* (atan2 1 (+ (* N (- N -1)) 1)) (+ (atan (+ 1 N)) (atan N)))) (atan2 1 (+ (* N (- N -1)) 1))) #s(hole binary64 (* (+ (atan N) (atan (- 1 (* -1 N)))) (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))))
#s(approx (* (atan2 1 (+ (* N (- N -1)) 1)) (* (atan2 1 (+ (* N (- N -1)) 1)) (+ (atan (+ 1 N)) (atan N)))) #s(hole binary64 (* (+ (atan N) (atan (- 1 (* -1 N)))) (pow (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) 2))))
#s(approx (+ (atan (+ 1 N)) (atan N)) #s(hole binary64 (+ (atan N) (atan (- 1 (* -1 N))))))
#s(approx (atan (+ 1 N)) #s(hole binary64 (atan (- 1 (* -1 N)))))
Outputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 N (/.f64 #s(literal 1 binary64) N))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N))
(*.f64 (/.f64 #s(literal 1 binary64) N) N)
(*.f64 (*.f64 N N) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (*.f64 N (*.f64 N N)))
(*.f64 (*.f64 N (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))
(*.f64 (fabs.f64 #s(literal 1 binary64)) (fabs.f64 #s(literal 1 binary64)))
(*.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 (*.f64 N N) (*.f64 N N))
(/.f64 N N)
(/.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 (neg.f64 N) (neg.f64 N))
(/.f64 (neg.f64 #s(literal 2 binary64)) (neg.f64 #s(literal 2 binary64)))
(cosh.f64 #s(literal 0 binary64))
(cosh.f64 (neg.f64 #s(literal 0 binary64)))
(exp.f64 #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal 0 binary64) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal 0 binary64) #s(literal 2 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (*.f64 N (*.f64 N N)) #s(literal 0 binary64))
(fma.f64 (*.f64 N (*.f64 N N)) (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 #s(literal 1 binary64)) (fabs.f64 #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 N (/.f64 #s(literal 1 binary64) N) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 N N) (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) N) N #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) #s(literal 0 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(pow.f64 N (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)) #s(literal 1 binary64)) (*.f64 N N))
(*.f64 (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (*.f64 (*.f64 N N) (*.f64 N N)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (*.f64 (*.f64 N N) (*.f64 N N)))) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))))
(*.f64 (*.f64 N N) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)) #s(literal 1 binary64)))
(*.f64 N (+.f64 (+.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) N)))
(*.f64 N (+.f64 N (/.f64 (+.f64 #s(literal 1 binary64) N) N)))
(*.f64 N (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) N))
(*.f64 N (+.f64 (/.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (*.f64 (*.f64 N N) (*.f64 N N)))) N) (/.f64 N (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))))
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)) #s(literal 1 binary64)) (neg.f64 N)) (neg.f64 N))
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)) #s(literal 1 binary64)) N) N)
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)) #s(literal 1 binary64)) (fabs.f64 N)) (fabs.f64 N))
(*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)) #s(literal 1 binary64)) (pow.f64 N #s(literal 1 binary64))) (pow.f64 N #s(literal 1 binary64)))
(*.f64 N (*.f64 N (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)) #s(literal 1 binary64))))
(*.f64 (fabs.f64 N) (*.f64 (fabs.f64 N) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)) #s(literal 1 binary64))))
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(/.f64 (*.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))))) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))))
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(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)))) (fma.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (*.f64 (atan.f64 N) (atan.f64 N))))
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(+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
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(-.f64 (/.f64 (*.f64 (atan.f64 N) (atan.f64 N)) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (/.f64 (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))))
(-.f64 (/.f64 (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (/.f64 (*.f64 (atan.f64 N) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))))
(/.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))))
(/.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
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(/.f64 (+.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))) (fma.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (*.f64 (atan.f64 N) (atan.f64 N))))
(/.f64 (neg.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))) (neg.f64 (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (*.f64 (atan.f64 N) (atan.f64 N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (atan.f64 N) (-.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (*.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 (+.f64 #s(literal 1 binary64) N))))))
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 N)
#s(approx (atan2 1 (+ 1 (+ (* N N) N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (+ 1 (+ (* N N) N)) #s(literal 1 binary64))
#s(approx (+ 1 (+ (* N N) N)) (+.f64 #s(literal 1 binary64) N))
#s(approx (+ 1 (+ (* N N) N)) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx N N)
#s(approx (/ 1 N) (/.f64 #s(literal 1 binary64) N))
#s(approx (atan2 1 (+ 1 (+ (* N N) N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (+ 1 N) N) (/.f64 (+.f64 #s(literal 1 binary64) N) N))
#s(approx (* N N) (*.f64 N N))
#s(approx (atan2 1 (+ 1 (+ (* N N) N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (* (- 1 (pow (/ (/ (+ 1 N) N) N) 2)) (* N N)) (/.f64 #s(literal -1 binary64) (*.f64 N N)))
#s(approx (* (- 1 (pow (/ (/ (+ 1 N) N) N) 2)) (* N N)) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) N) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (* (- 1 (pow (/ (/ (+ 1 N) N) N) 2)) (* N N)) (/.f64 (-.f64 (*.f64 (-.f64 (neg.f64 N) #s(literal 2 binary64)) N) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (* (- 1 (pow (/ (/ (+ 1 N) N) N) 2)) (* N N)) (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 N N) #s(literal 1 binary64)) N) #s(literal 2 binary64)) N) #s(literal 1 binary64)) (*.f64 N N)))
#s(approx (- 1 (pow (/ (/ (+ 1 N) N) N) 2)) (/.f64 #s(literal -1 binary64) (pow.f64 N #s(literal 4 binary64))))
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#s(approx (pow (/ (/ (+ 1 N) N) N) 2) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) N) N #s(literal 1 binary64)) (pow.f64 N #s(literal 4 binary64))))
#s(approx (/ (/ (+ 1 N) N) N) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
#s(approx (/ (/ (+ 1 N) N) N) (/.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))
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#s(approx (/ (- N 1) N) (/.f64 #s(literal -1 binary64) N))
#s(approx (/ (- N 1) N) (/.f64 (-.f64 N #s(literal 1 binary64)) N))
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#s(approx (* (+ (atan N) (atan (+ 1 N))) (pow (atan2 1 (+ 1 (+ (* N N) N))) 2)) (*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))))
#s(approx (+ (atan N) (atan (+ 1 N))) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))))
#s(approx (atan (+ 1 N)) (atan.f64 (+.f64 #s(literal 1 binary64) N)))
#s(approx (atan N) (atan.f64 N))
#s(approx (+ 1 (+ (* N N) N)) (fma.f64 N N N))
#s(approx (+ 1 (+ (* N N) N)) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (+ 1 N) (+.f64 #s(literal 1 binary64) N))
#s(approx (/ (+ 1 N) N) (/.f64 (+.f64 #s(literal 1 binary64) N) N))
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#s(approx (/ (/ (+ 1 N) N) N) (/.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)))
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#s(approx (- 1 (/ (/ (+ 1 N) N) N)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))))
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#s(approx (atan2 1 (+ 1 (+ (* N N) N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
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#s(approx (* (+ (atan N) (atan (+ 1 N))) (pow (atan2 1 (+ 1 (+ (* N N) N))) 2)) (*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))))
#s(approx (+ (atan N) (atan (+ 1 N))) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))))
#s(approx (atan (+ 1 N)) (atan.f64 (+.f64 #s(literal 1 binary64) N)))

eval190.0ms (2.4%)

Memory
33.3MiB live, 222.2MiB allocated; 43ms collecting garbage
Compiler

Compiled 21 774 to 6 418 computations (70.5% saved)

prune47.0ms (0.6%)

Memory
-18.5MiB live, 81.5MiB allocated; 10ms collecting garbage
Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New1 289131 302
Fresh61319
Picked415
Done000
Total1 299271 326
Accuracy
99.9%
Counts
1 326 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(atan2.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (*.f64 N (*.f64 N N))) (fma.f64 N N (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (*.f64 N (*.f64 N N))) N) N N)))
99.5%
(atan2.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) N) (fma.f64 N N (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) N) N)))
99.2%
(atan2.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N) N) (fma.f64 N N (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N) N) N)))
99.4%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N) (/.f64 #s(literal 1 binary64) N)) (*.f64 N N) #s(literal 1 binary64)))
99.3%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 N (fma.f64 N N N)) #s(literal 1 binary64)))
99.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
99.3%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 N (/.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) (*.f64 N N) #s(literal 1 binary64)))
99.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 (/.f64 #s(literal 1 binary64) N) N) N))
41.8%
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N) (*.f64 N (*.f64 N N))) N (*.f64 (fma.f64 (*.f64 N N) (-.f64 (*.f64 N N) N) (*.f64 N N)) N)) (*.f64 (fma.f64 (*.f64 N N) (-.f64 (*.f64 N N) N) (*.f64 N N)) N)))
75.1%
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 N (fma.f64 N N N)) N (*.f64 N N)) (*.f64 N N)))
99.5%
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (fma.f64 N N N) N) N))
99.6%
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N (-.f64 N #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) N)) N))
99.6%
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
97.6%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ 1 N)) (fma.f64 N N N)))
7.7%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ 1 N)) (+.f64 #s(literal 1 binary64) N)))
✓6.1%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ 1 N)) #s(literal 1 binary64)))
99.3%
(/.f64 (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)))) (fma.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (atan.f64 N) (atan.f64 N)))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
77.8%
(/.f64 (*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
99.6%
(/.f64 (*.f64 (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
99.3%
(/.f64 (*.f64 (+.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))) (fma.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (atan.f64 N) (atan.f64 N))))
97.5%
(/.f64 (*.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ 1 N)) (fma.f64 N N N)))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
78.0%
(/.f64 (*.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
78.2%
(*.f64 (/.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (/.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))))
77.8%
(*.f64 (/.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (/.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
99.5%
(*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
99.3%
(*.f64 (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (+.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)))) (fma.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (atan.f64 N) (atan.f64 N))))
99.5%
(*.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))))
Compiler

Compiled 928 to 475 computations (48.8% saved)

regimes40.0ms (0.5%)

Memory
-5.7MiB live, 39.8MiB allocated; 6ms collecting garbage
Counts
45 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ 1 N)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ 1 N)) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ 1 N)) (fma.f64 N N N)))
(-.f64 (atan.f64 #s(approx (+ 1 N) #s(literal 1 binary64))) (atan.f64 N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 (/.f64 #s(literal 1 binary64) N) N) N))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N (-.f64 N #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) N)) N))
(atan2.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) N) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (fma.f64 N N N) N) N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (fma.f64 (/.f64 #s(literal 1 binary64) N) N N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) N) N) (*.f64 N N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) N) (*.f64 N (fma.f64 N N N)) #s(literal 1 binary64)))
(atan2.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) N) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (*.f64 N N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 N (/.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) (*.f64 N N) #s(literal 1 binary64)))
(atan2.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) N) (fma.f64 N N (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) N) N) N)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 N (fma.f64 N N N)) N (*.f64 N N)) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (*.f64 N N) (/.f64 #s(literal 1 binary64) N)) (*.f64 N N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 N #s(literal 1 binary64)))))
(atan2.f64 (-.f64 (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) N) N) N) (fma.f64 N (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) N) N) (-.f64 (+.f64 #s(literal 1 binary64) N) N)))
(atan2.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N) N) (fma.f64 N N (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) N) N) N)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 N N N) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N N) (fma.f64 N N (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64))))
(atan2.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (*.f64 N (*.f64 N N))) (fma.f64 N N (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))) (*.f64 N (*.f64 N N))) N) N N)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 N N) N (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 N N))))
(atan2.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) N)))) (*.f64 N N)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))))
(/.f64 (*.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ 1 N)) (fma.f64 N N N)))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
(atan2.f64 #s(literal 1 binary64) (/.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 N N) N) (*.f64 (*.f64 N N) N))) (fma.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)) (*.f64 (*.f64 N N) (*.f64 N N)))))
(*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
(/.f64 (*.f64 (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N) (*.f64 N (*.f64 N N))) N (*.f64 (fma.f64 (*.f64 N N) (-.f64 (*.f64 N N) N) (*.f64 N N)) N)) (*.f64 (fma.f64 (*.f64 N N) (-.f64 (*.f64 N N) N) (*.f64 N N)) N)))
(/.f64 (*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (/.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N)))) (/.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))))
(/.f64 (*.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))))
(/.f64 (*.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
(*.f64 (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (+.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)))) (fma.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (atan.f64 N) (atan.f64 N))))
(/.f64 (*.f64 (+.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))) (fma.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (atan.f64 N) (atan.f64 N))))
(/.f64 (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)))) (fma.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (atan.f64 N) (atan.f64 N)))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N)))
(/.f64 (*.f64 (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))) (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))))
Outputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (fma.f64 (/.f64 #s(literal 1 binary64) N) N N)))
Calls

2 calls:

22.0ms
N
15.0ms
(-.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)

regimes8.0ms (0.1%)

Memory
22.9MiB live, 22.9MiB allocated; 0ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ 1 N)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ 1 N)) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ 1 N)) (fma.f64 N N N)))
(-.f64 (atan.f64 #s(approx (+ 1 N) #s(literal 1 binary64))) (atan.f64 N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 (/.f64 #s(literal 1 binary64) N) N) N))
(atan2.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N (-.f64 N #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) N)) N))
(atan2.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) N) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) N) (fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (fma.f64 N N N) N) N))
Outputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))
Calls

2 calls:

4.0ms
N
3.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
99.6%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
99.6%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.1%)

Memory
-36.7MiB live, 9.9MiB allocated; 2ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ 1 N)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ 1 N)) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ 1 N)) (fma.f64 N N N)))
(-.f64 (atan.f64 #s(approx (+ 1 N) #s(literal 1 binary64))) (atan.f64 N))
Outputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ 1 N)) (fma.f64 N N N)))
Calls

2 calls:

3.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
2.0ms
N
Results
AccuracySegmentsBranch
97.6%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
97.6%1N
Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0%)

Memory
7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ 1 N)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ 1 N)) (+.f64 #s(literal 1 binary64) N)))
Outputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ 1 N)) (+.f64 #s(literal 1 binary64) N)))
Calls

2 calls:

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

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
N
1.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
6.1%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
6.1%1N
Compiler

Compiled 7 to 7 computations (0% saved)

derivations1.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated; 0ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 28 to 22 computations (21.4% saved)

preprocess48.0ms (0.6%)

Memory
-13.8MiB live, 128.6MiB allocated; 10ms collecting garbage
Compiler

Compiled 50 to 40 computations (20% saved)

end0.0ms (0%)

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

Profiling

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