2atan (example 3.5)

Time bar (total: 8.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

Memory
-35.5MiB live, 3.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%8.1%91.9%0%0%0%0
0%0%8.1%91.9%0%0%0%1
50%4.1%4.1%91.9%0%0%0%2
75%6.1%2%91.9%0%0%0%3
87.5%7.1%1%91.9%0%0%0%4
93.8%7.6%0.5%91.9%0%0%0%5
96.9%7.9%0.3%91.9%0%0%0%6
98.4%8%0.1%91.9%0%0%0%7
99.2%8%0.1%91.9%0%0%0%8
99.6%8.1%0%91.9%0%0%0%9
99.8%8.1%0%91.9%0%0%0%10
99.9%8.1%0%91.9%0%0%0%11
100%8.1%0%91.9%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.6s (18.8%)

Memory
47.0MiB live, 1 930.2MiB allocated
Samples
1.1s7 440×1valid
99.0ms363×2valid
35.0ms453×0valid
Precisions
Click to see histograms. Total time spent on operations: 999.0ms
ival-atan: 357.0ms (35.8% of total)
adjust: 243.0ms (24.3% of total)
const: 115.0ms (11.5% of total)
ival-add: 109.0ms (10.9% of total)
ival-sub: 82.0ms (8.2% of total)
ival->: 51.0ms (5.1% of total)
ival-<: 19.0ms (1.9% of total)
ival-and: 11.0ms (1.1% of total)
exact: 7.0ms (0.7% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain144.0ms (1.7%)

Memory
5.0MiB live, 99.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2531(26.942327486323478)0-(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
00-0-N
00-0-(+.f64 N #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-(atan.f64 N)
00-0-(atan.f64 (+.f64 N #s(literal 1 binary64)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))cancellation2540
Confusion
Predicted +Predicted -
+2530
-12
Precision
0.9960629921259843
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25300
-102
Precision?
0.9960629921259843
Recall?
1.0
Freqs
test
numberfreq
02
1254
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
51.0ms446×1valid
6.0ms38×2valid
2.0ms28×0valid
Compiler

Compiled 48 to 22 computations (54.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-atan: 19.0ms (46.2% of total)
adjust: 12.0ms (29.2% of total)
ival-add: 5.0ms (12.2% of total)
ival-sub: 5.0ms (12.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess40.0ms (0.5%)

Memory
-24.8MiB live, 13.2MiB allocated
Algorithm
egg-herbie
Rules
80×lower-fma.f64
80×lower-fma.f32
48×lower-*.f64
48×lower-*.f32
46×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
11817
24116
37316
412116
517816
620116
721216
067
0107
1157
2197
3257
4337
5487
6807
71067
81507
91657
101737
01737
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Outputs
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.6%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify7.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(atan.f64 N)
cost-diff0
(+.f64 N #s(literal 1 binary64))
cost-diff0
(atan.f64 (+.f64 N #s(literal 1 binary64)))
cost-diff0
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Rules
80×lower-fma.f64
80×lower-fma.f32
48×lower-*.f64
48×lower-*.f32
36×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
01018
11518
21918
32518
43318
54818
68018
710618
815018
916518
1017318
017318
Stop Event
iter limit
saturated
iter limit
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
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
N
#s(literal 1 binary64)
(atan.f64 N)

localize41.0ms (0.5%)

Memory
7.4MiB live, 43.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 N #s(literal 1 binary64))
accuracy0
(atan.f64 (+.f64 N #s(literal 1 binary64)))
accuracy0
(atan.f64 N)
accuracy57.85409865810707
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Samples
30.0ms223×1valid
3.0ms19×2valid
1.0ms14×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-atan: 14.0ms (54.5% of total)
adjust: 6.0ms (23.3% of total)
ival-add: 3.0ms (11.7% of total)
ival-sub: 3.0ms (11.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (patch (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #<representation binary64>) () ())
#s(alt (atan.f64 (+.f64 N #s(literal 1 binary64))) (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (atan.f64 N) (patch (atan.f64 N) #<representation binary64>) () ())
Outputs
#s(alt (- (atan (+ 1 N)) (atan N)) (taylor 0 N) (#s(alt (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (patch (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #<representation binary64>) () ())) ())
#s(alt (- (atan (+ 1 N)) (atan N)) (taylor 0 N) (#s(alt (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (patch (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #<representation binary64>) () ())) ())
#s(alt (- (atan (+ 1 N)) (atan N)) (taylor 0 N) (#s(alt (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (patch (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #<representation binary64>) () ())) ())
#s(alt (- (atan (+ 1 N)) (atan N)) (taylor 0 N) (#s(alt (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (patch (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #<representation binary64>) () ())) ())
#s(alt (atan (+ 1 N)) (taylor 0 N) (#s(alt (atan.f64 (+.f64 N #s(literal 1 binary64))) (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan (+ 1 N)) (taylor 0 N) (#s(alt (atan.f64 (+.f64 N #s(literal 1 binary64))) (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan (+ 1 N)) (taylor 0 N) (#s(alt (atan.f64 (+.f64 N #s(literal 1 binary64))) (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan (+ 1 N)) (taylor 0 N) (#s(alt (atan.f64 (+.f64 N #s(literal 1 binary64))) (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (atan N) (taylor 0 N) (#s(alt (atan.f64 N) (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt (atan N) (taylor 0 N) (#s(alt (atan.f64 N) (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt (atan N) (taylor 0 N) (#s(alt (atan.f64 N) (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt (atan N) (taylor 0 N) (#s(alt (atan.f64 N) (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt (- (atan (+ 1 N)) (atan N)) (taylor inf N) (#s(alt (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (patch (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #<representation binary64>) () ())) ())
#s(alt (- (atan (+ 1 N)) (atan N)) (taylor inf N) (#s(alt (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (patch (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #<representation binary64>) () ())) ())
#s(alt (- (atan (+ 1 N)) (atan N)) (taylor inf N) (#s(alt (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (patch (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #<representation binary64>) () ())) ())
#s(alt (- (atan (+ 1 N)) (atan N)) (taylor inf N) (#s(alt (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (patch (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #<representation binary64>) () ())) ())
#s(alt (atan (+ 1 N)) (taylor inf N) (#s(alt (atan.f64 (+.f64 N #s(literal 1 binary64))) (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan (+ 1 N)) (taylor inf N) (#s(alt (atan.f64 (+.f64 N #s(literal 1 binary64))) (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan (+ 1 N)) (taylor inf N) (#s(alt (atan.f64 (+.f64 N #s(literal 1 binary64))) (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan (+ 1 N)) (taylor inf N) (#s(alt (atan.f64 (+.f64 N #s(literal 1 binary64))) (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt N (taylor inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (/ 1 N))) (taylor inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (/ 1 N))) (taylor inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (/ 1 N))) (taylor inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (atan N) (taylor inf N) (#s(alt (atan.f64 N) (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt (atan N) (taylor inf N) (#s(alt (atan.f64 N) (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt (atan N) (taylor inf N) (#s(alt (atan.f64 N) (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt (atan N) (taylor inf N) (#s(alt (atan.f64 N) (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt (- (atan (- 1 (* -1 N))) (atan N)) (taylor -inf N) (#s(alt (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (patch (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #<representation binary64>) () ())) ())
#s(alt (- (atan (- 1 (* -1 N))) (atan N)) (taylor -inf N) (#s(alt (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (patch (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #<representation binary64>) () ())) ())
#s(alt (- (atan (- 1 (* -1 N))) (atan N)) (taylor -inf N) (#s(alt (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (patch (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #<representation binary64>) () ())) ())
#s(alt (- (atan (- 1 (* -1 N))) (atan N)) (taylor -inf N) (#s(alt (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) (patch (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #<representation binary64>) () ())) ())
#s(alt (atan (- 1 (* -1 N))) (taylor -inf N) (#s(alt (atan.f64 (+.f64 N #s(literal 1 binary64))) (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan (- 1 (* -1 N))) (taylor -inf N) (#s(alt (atan.f64 (+.f64 N #s(literal 1 binary64))) (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan (- 1 (* -1 N))) (taylor -inf N) (#s(alt (atan.f64 (+.f64 N #s(literal 1 binary64))) (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan (- 1 (* -1 N))) (taylor -inf N) (#s(alt (atan.f64 (+.f64 N #s(literal 1 binary64))) (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt N (taylor -inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (/ 1 N))) (taylor -inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (/ 1 N))) (taylor -inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (/ 1 N))) (taylor -inf N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (atan N) (taylor -inf N) (#s(alt (atan.f64 N) (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt (atan N) (taylor -inf N) (#s(alt (atan.f64 N) (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt (atan N) (taylor -inf N) (#s(alt (atan.f64 N) (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt (atan N) (taylor -inf N) (#s(alt (atan.f64 N) (patch (atan.f64 N) #<representation binary64>) () ())) ())
Calls

3 calls:

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

simplify14.0ms (0.2%)

Memory
16.5MiB live, 16.5MiB allocated
Algorithm
egg-herbie
Rules
192×lower-fma.f64
192×lower-fma.f32
128×lower-*.f64
128×lower-*.f32
96×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014186
134186
244186
389186
4189186
5335186
6383186
7420186
8474186
9489186
10497186
0497186
Stop Event
iter limit
saturated
Counts
48 → 46
Calls
Call 1
Inputs
(- (atan (+ 1 N)) (atan N))
(- (atan (+ 1 N)) (atan N))
(- (atan (+ 1 N)) (atan N))
(- (atan (+ 1 N)) (atan N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
(atan N)
(atan N)
(atan N)
(atan N)
(- (atan (+ 1 N)) (atan N))
(- (atan (+ 1 N)) (atan N))
(- (atan (+ 1 N)) (atan N))
(- (atan (+ 1 N)) (atan N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(atan N)
(atan N)
(atan N)
(atan N)
(- (atan (- 1 (* -1 N))) (atan N))
(- (atan (- 1 (* -1 N))) (atan N))
(- (atan (- 1 (* -1 N))) (atan N))
(- (atan (- 1 (* -1 N))) (atan N))
(atan (- 1 (* -1 N)))
(atan (- 1 (* -1 N)))
(atan (- 1 (* -1 N)))
(atan (- 1 (* -1 N)))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(atan N)
(atan N)
(atan N)
(atan N)
Outputs
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(atan (+ 1 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(atan (+ 1 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(atan (+ 1 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(atan (+ 1 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(atan (+ 1 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(atan (+ 1 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(atan (+ 1 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(atan (+ 1 N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
N
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(- (atan (- 1 (* -1 N))) (atan N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(- (atan (- 1 (* -1 N))) (atan N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(- (atan (- 1 (* -1 N))) (atan N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(- (atan (- 1 (* -1 N))) (atan N))
(-.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) (atan.f64 N))
(atan (- 1 (* -1 N)))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(atan (- 1 (* -1 N)))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(atan (- 1 (* -1 N)))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
(atan (- 1 (* -1 N)))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
N
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)

rewrite229.0ms (2.7%)

Memory
1.7MiB live, 190.4MiB allocated
Rules
4 024×lower-*.f64
4 024×lower-*.f32
3 876×lower-/.f64
3 876×lower-/.f32
3 196×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
01016
14416
228416
3288516
0835316
Stop Event
iter limit
node limit
iter limit
Counts
4 → 239
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))
(atan.f64 N)
Outputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 9 binary64)) (pow.f64 (atan.f64 N) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64))))))
(*.f64 (pow.f64 (/.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (*.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)))))
(*.f64 (/.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))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N))))
(*.f64 (/.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))) (+.f64 (pow.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) (-.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (-.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) (atan2.f64 (-.f64 N (+.f64 #s(literal 1 binary64) N)) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))))
(*.f64 (neg.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N 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)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(*.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
(*.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))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.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))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))) (neg.f64 (+.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64))) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))) (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)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 9 binary64)) (pow.f64 (atan.f64 N) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))) (neg.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (atan.f64 N) (atan.f64 (+.f64 #s(literal 1 binary64) N))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N)) (*.f64 (*.f64 N N) N) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (fma.f64 (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) N)) N (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))))))
(/.f64 (*.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 N N) (*.f64 N N) (fma.f64 N N #s(literal 1 binary64))) (-.f64 N #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N 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 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N)) (*.f64 (*.f64 N N) N) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) N)) N (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (*.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (*.f64 (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 N #s(literal 1 binary64)) (-.f64 N #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))))
(/.f64 (fma.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N) #s(literal -1 binary64)) (*.f64 (-.f64 N #s(literal 1 binary64)) (fma.f64 (*.f64 N N) (*.f64 N N) (fma.f64 N N #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N) #s(literal -1 binary64)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (fma.f64 (*.f64 N N) N #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 N N) N)) (*.f64 (*.f64 N N) N) #s(literal 1 binary64)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (fma.f64 (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) N)) N (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N)))))
(/.f64 (neg.f64 (fma.f64 N N #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 N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 N #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 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (-.f64 N #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(neg.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) N)))
(neg.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(fma.f64 (/.f64 (*.f64 N N) (fma.f64 (*.f64 N N) N #s(literal -1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N))))
(fma.f64 (/.f64 (*.f64 N N) (fma.f64 N N #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) N) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N))))
(fma.f64 (*.f64 N N) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N))))
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))
(fma.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N))))
(fma.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 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)))
(+.f64 (*.f64 N (/.f64 N (-.f64 N #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N))))
(+.f64 #s(literal 1 binary64) N)
(+.f64 N #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))) #s(literal -1 binary64)))
(pow.f64 (atan.f64 N) #s(literal 1 binary64))
(atan.f64 N)
(exp.f64 (*.f64 (log.f64 (atan.f64 N)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (atan.f64 N)))

eval81.0ms (1%)

Memory
-3.6MiB live, 75.2MiB allocated
Compiler

Compiled 9 521 to 915 computations (90.4% saved)

prune49.0ms (0.6%)

Memory
15.9MiB live, 90.9MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2778285
Fresh000
Picked101
Done000
Total2788286
Accuracy
99.7%
Counts
286 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) #s(literal -1 binary64))
99.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
99.4%
(/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
99.4%
(*.f64 (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
99.5%
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
99.5%
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))) #s(literal -1 binary64)))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))))
Compiler

Compiled 524 to 182 computations (65.3% saved)

simplify484.0ms (5.7%)

Memory
-121.1MiB live, 211.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
cost-diff0
(fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))
cost-diff320
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
cost-diff55552
(*.f64 (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
cost-diff0
(+.f64 (+.f64 #s(literal 1 binary64) N) N)
cost-diff0
(atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
cost-diff320
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
cost-diff15872
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
cost-diff0
(+.f64 (+.f64 #s(literal 1 binary64) N) N)
cost-diff0
(atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
cost-diff0
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
cost-diff15872
(/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
cost-diff0
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
cost-diff7168
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) #s(literal -1 binary64))
cost-diff0
(+.f64 #s(literal 1 binary64) N)
cost-diff0
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
Rules
18 196×lower-fma.f32
18 190×lower-fma.f64
3 356×lower-+.f32
3 352×lower-+.f64
3 318×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025470
049366
182362
2151362
3278362
4915362
56800362
08240350
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
N
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
#s(literal 1 binary64)
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
N
#s(literal -1 binary64)
(/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
(atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 (+.f64 #s(literal 1 binary64) N) N)
(+.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 (+.f64 #s(literal 1 binary64) N) N)
(+.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
(fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))
(atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 (+.f64 #s(literal 1 binary64) N) N)
(+.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(atan.f64 N)
(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
#s(literal 2 binary64)
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
Outputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
(-.f64 N #s(literal -1 binary64))
N
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) 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)))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
#s(literal 1 binary64)
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
(/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
(*.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 (+.f64 #s(literal 1 binary64) N) N)
(fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
(-.f64 N #s(literal -1 binary64))
#s(literal 1 binary64)
N
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 (+.f64 #s(literal 1 binary64) N) N)
(fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
(-.f64 N #s(literal -1 binary64))
#s(literal 1 binary64)
N
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))
(fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)))
(atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 (+.f64 #s(literal 1 binary64) N) N)
(fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
(-.f64 N #s(literal -1 binary64))
#s(literal 1 binary64)
N
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(atan.f64 N)
(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))
(pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
#s(literal 2 binary64)
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))))

localize125.0ms (1.5%)

Memory
12.3MiB live, 132.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.25
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
accuracy0.34212875976844204
(*.f64 (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
accuracy0.38671875
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
accuracy0.8828125
(fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))
accuracy0.03125
(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
accuracy0.25
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
accuracy0.34765625
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
accuracy0.47103500976844204
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
accuracy0.00390625
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
accuracy0.25
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
accuracy0.32421875
(/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
accuracy0.33041000976844204
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
accuracy0.00390625
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
accuracy0.24609375
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) #s(literal -1 binary64))
accuracy0.25
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
accuracy0.28125
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
accuracy0
(+.f64 #s(literal 1 binary64) N)
accuracy0.00390625
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
accuracy0.25
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
Samples
96.0ms256×0valid
Compiler

Compiled 516 to 30 computations (94.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-mult: 53.0ms (67.8% of total)
ival-div: 6.0ms (7.7% of total)
ival-add: 6.0ms (7.7% of total)
ival-atan2: 4.0ms (5.1% of total)
ival-atan: 3.0ms (3.8% of total)
ival-pow2: 2.0ms (2.6% of total)
ival-pow: 2.0ms (2.6% of total)
ival-sub: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory
20.2MiB live, 20.2MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#s(alt (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (patch (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) N) (patch (+.f64 #s(literal 1 binary64) N) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())
#s(alt (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (patch (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 #s(literal 1 binary64) N) N) (patch (+.f64 (+.f64 #s(literal 1 binary64) N) N) #<representation binary64>) () ())
#s(alt (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))) (patch (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))) #<representation binary64>) () ())
#s(alt (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (patch (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))) (patch (*.f64 (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))) (patch (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (patch (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())
Outputs
#s(alt (atan2 1 (+ 1 (* N (+ 1 N)))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (* N (+ 1 N)))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (* N (+ 1 N)))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (* N (+ 1 N)))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 N) (#s(alt (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (patch (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (patch (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* N (+ 1 N))) (taylor 0 N) (#s(alt (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (patch (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* N (+ 1 N))) (taylor 0 N) (#s(alt (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) (patch (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 N) (#s(alt (+.f64 #s(literal 1 binary64) N) (patch (+.f64 #s(literal 1 binary64) N) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (+.f64 #s(literal 1 binary64) N) (patch (+.f64 #s(literal 1 binary64) N) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (+.f64 #s(literal 1 binary64) N) (patch (+.f64 #s(literal 1 binary64) N) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (+.f64 #s(literal 1 binary64) N) (patch (+.f64 #s(literal 1 binary64) N) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (* N (+ 1 N)))) (taylor 0 N) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (* N (+ 1 N)))) (taylor 0 N) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (* N (+ 1 N)))) (taylor 0 N) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (* N (+ 1 N)))) (taylor 0 N) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 1 (+ 1 (* N (+ 1 N))))) (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 1 (+ 1 (* N (+ 1 N))))) (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 1 (+ 1 (* N (+ 1 N))))) (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 1 (+ 1 (* N (+ 1 N))))) (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (* N (+ 1 N)))) (taylor 0 N) (#s(alt (/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (* N (+ 1 N)))) (taylor 0 N) (#s(alt (/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (* N (+ 1 N)))) (taylor 0 N) (#s(alt (/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (* N (+ 1 N)))) (taylor 0 N) (#s(alt (/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (taylor 0 N) (#s(alt (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (patch (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (taylor 0 N) (#s(alt (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (patch (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (taylor 0 N) (#s(alt (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (patch (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (taylor 0 N) (#s(alt (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (patch (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (taylor 0 N) (#s(alt (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (taylor 0 N) (#s(alt (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (taylor 0 N) (#s(alt (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (taylor 0 N) (#s(alt (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 N) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) N) N) (patch (+.f64 (+.f64 #s(literal 1 binary64) N) N) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 N)) (taylor 0 N) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) N) N) (patch (+.f64 (+.f64 #s(literal 1 binary64) N) N) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 N)) (taylor 0 N) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) N) N) (patch (+.f64 (+.f64 #s(literal 1 binary64) N) N) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 N)) (taylor 0 N) (#s(alt (+.f64 (+.f64 #s(literal 1 binary64) N) N) (patch (+.f64 (+.f64 #s(literal 1 binary64) N) N) #<representation binary64>) () ())) ())
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#s(alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2))) (taylor -inf N) (#s(alt (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))) (patch (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2))) (taylor -inf N) (#s(alt (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))) (patch (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2))) (taylor -inf N) (#s(alt (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))) (patch (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2)) (taylor -inf N) (#s(alt (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (patch (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2)) (taylor -inf N) (#s(alt (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (patch (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2)) (taylor -inf N) (#s(alt (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (patch (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (taylor -inf N) (#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (taylor -inf N) (#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (taylor -inf N) (#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (taylor -inf N) (#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
6.0ms
N
@-inf
((atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ 1 N) (pow (/ 1 (atan2 1 (+ (* (+ 1 N) N) 1))) -1) (/ 1 (atan2 1 (+ (* (+ 1 N) N) 1))) (/ (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (atan2 1 (+ (* (+ 1 N) N) 1))) (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N)))) (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (atan2 1 (+ (* (+ 1 N) N) 1))) (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (+ (+ 1 N) N) (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (* (atan2 1 (+ (* (+ 1 N) N) 1)) (/ 1 (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N)))))) (* (atan2 1 (+ (* (+ 1 N) N) 1)) (/ 1 (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))))) (* (+ (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (atan N)) (pow (atan (+ 1 N)) 2)) (* (atan2 1 (+ (* (+ 1 N) N) 1)) (/ 1 (+ (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (atan N)) (pow (atan (+ 1 N)) 2))))) (* (atan2 1 (+ (* (+ 1 N) N) 1)) (/ 1 (+ (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (atan N)) (pow (atan (+ 1 N)) 2)))) (+ (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (atan N)) (pow (atan (+ 1 N)) 2)) (/ 1 (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N)))))
5.0ms
N
@inf
((atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ 1 N) (pow (/ 1 (atan2 1 (+ (* (+ 1 N) N) 1))) -1) (/ 1 (atan2 1 (+ (* (+ 1 N) N) 1))) (/ (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (atan2 1 (+ (* (+ 1 N) N) 1))) (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N)))) (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (atan2 1 (+ (* (+ 1 N) N) 1))) (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (+ (+ 1 N) N) (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (* (atan2 1 (+ (* (+ 1 N) N) 1)) (/ 1 (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N)))))) (* (atan2 1 (+ (* (+ 1 N) N) 1)) (/ 1 (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))))) (* (+ (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (atan N)) (pow (atan (+ 1 N)) 2)) (* (atan2 1 (+ (* (+ 1 N) N) 1)) (/ 1 (+ (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (atan N)) (pow (atan (+ 1 N)) 2))))) (* (atan2 1 (+ (* (+ 1 N) N) 1)) (/ 1 (+ (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (atan N)) (pow (atan (+ 1 N)) 2)))) (+ (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (atan N)) (pow (atan (+ 1 N)) 2)) (/ 1 (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N)))))
4.0ms
N
@0
((atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (+ 1 N) (pow (/ 1 (atan2 1 (+ (* (+ 1 N) N) 1))) -1) (/ 1 (atan2 1 (+ (* (+ 1 N) N) 1))) (/ (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (atan2 1 (+ (* (+ 1 N) N) 1))) (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N)))) (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (atan2 1 (+ (* (+ 1 N) N) 1))) (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (+ (+ 1 N) N) (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (* (atan2 1 (+ (* (+ 1 N) N) 1)) (/ 1 (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N)))))) (* (atan2 1 (+ (* (+ 1 N) N) 1)) (/ 1 (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))))) (* (+ (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (atan N)) (pow (atan (+ 1 N)) 2)) (* (atan2 1 (+ (* (+ 1 N) N) 1)) (/ 1 (+ (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (atan N)) (pow (atan (+ 1 N)) 2))))) (* (atan2 1 (+ (* (+ 1 N) N) 1)) (/ 1 (+ (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (atan N)) (pow (atan (+ 1 N)) 2)))) (+ (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (atan N)) (pow (atan (+ 1 N)) 2)) (/ 1 (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N)))))

simplify201.0ms (2.4%)

Memory
3.9MiB live, 78.0MiB allocated
Algorithm
egg-herbie
Rules
10 354×lower-fma.f64
10 354×lower-fma.f32
3 500×lower-*.f64
3 500×lower-*.f32
1 618×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0602384
11322376
22122376
36932376
432822376
562612376
081282083
Stop Event
iter limit
node limit
Counts
180 → 178
Calls
Call 1
Inputs
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(/ 1 (atan2 1 (+ 1 (* N (+ 1 N)))))
(/ 1 (atan2 1 (+ 1 (* N (+ 1 N)))))
(/ 1 (atan2 1 (+ 1 (* N (+ 1 N)))))
(/ 1 (atan2 1 (+ 1 (* N (+ 1 N)))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
1
(+ 1 (* 2 N))
(+ 1 (* 2 N))
(+ 1 (* 2 N))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))
(+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))
(+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))
(+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(* 2 N)
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))
(+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))
(+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))
(+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(* (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(* 2 N)
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2)))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2)))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2)))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2)))
(+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2))
(+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2))
(+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2))
(+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2))
(/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
Outputs
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 (* N (+ 1 N)))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(+ 1 (* N (+ 1 N)))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(/ 1 (atan2 1 (+ 1 (* N (+ 1 N)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(/ 1 (atan2 1 (+ 1 (* N (+ 1 N)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(/ 1 (atan2 1 (+ 1 (* N (+ 1 N)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(/ 1 (atan2 1 (+ 1 (* N (+ 1 N)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
1
#s(literal 1 binary64)
(+ 1 (* 2 N))
(fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64))
(+ 1 (* 2 N))
(fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64))
(+ 1 (* 2 N))
(fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))))
(+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))
(fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)))
(+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))
(fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)))
(+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))
(fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)))
(+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))
(fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
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(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2)))
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2)))
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2)))
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2)))
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64))))
(+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2))
(fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)))
(+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2))
(fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)))
(+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2))
(fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)))
(+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2))
(fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 2 binary64)))
(/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))

rewrite413.0ms (4.9%)

Memory
6.4MiB live, 280.9MiB allocated
Rules
4 404×lower-/.f32
4 396×lower-/.f64
4 292×lower-*.f32
4 282×lower-*.f64
4 124×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025291
049183
1187183
21199183
08215176
Stop Event
iter limit
node limit
iter limit
Counts
15 → 844
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
(/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))))
(atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 (+.f64 #s(literal 1 binary64) N) N)
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
(fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
Outputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64))))))
(*.f64 (/.f64 (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
(*.f64 (/.f64 (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 3 binary64)))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64))))))
(*.f64 (/.f64 (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (/.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1 binary64)) (/.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))) (/.f64 (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
(*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 3 binary64)))) (/.f64 (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64))))))
(*.f64 (/.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
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(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (*.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (*.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
(fma.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 (+.f64 N #s(literal 1 binary64))) (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))
(fma.f64 (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 N) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))) (/.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))) (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (-.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)) (-.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (-.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)) (-.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))
(+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(pow.f64 (exp.f64 (log.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1 binary64))
(pow.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(neg.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64)))

eval534.0ms (6.3%)

Memory
6.2MiB live, 913.2MiB allocated
Compiler

Compiled 145 341 to 4 024 computations (97.2% saved)

prune367.0ms (4.3%)

Memory
-12.4MiB live, 872.8MiB allocated
Pruning

33 alts after pruning (31 fresh and 2 done)

PrunedKeptTotal
New2 606312 637
Fresh303
Picked325
Done000
Total2 612332 645
Accuracy
100.0%
Counts
2 645 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.7%
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #s(literal -1 binary64))
99.1%
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) #s(literal 2 binary64))
99.5%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) N #s(literal 1 binary64)))
99.5%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
99.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
99.4%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
99.4%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
73.0%
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
50.7%
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N) (*.f64 (*.f64 (+.f64 N #s(literal 1 binary64)) (+.f64 N #s(literal 1 binary64))) (+.f64 N #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.f64 N N) N) N (-.f64 (*.f64 (+.f64 N #s(literal 1 binary64)) (+.f64 N #s(literal 1 binary64))) (*.f64 (*.f64 N N) (+.f64 N #s(literal 1 binary64)))))))
72.9%
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (fma.f64 N N N))))))
50.7%
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 N N N))) (fma.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (fma.f64 N N N) #s(literal 1 binary64)))))
72.8%
(atan2.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))))
50.6%
(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)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
95.9%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
7.9%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
92.7%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
6.3%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
15.5%
(/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (atan2.f64 (/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 N #s(literal 1 binary64)) (+.f64 N #s(literal 1 binary64)))) (-.f64 N (+.f64 N #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
99.4%
(/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
99.2%
(/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
99.6%
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))))
99.0%
(/.f64 (*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))
99.4%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
98.9%
(*.f64 (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
92.9%
(*.f64 (fma.f64 (atan2.f64 #s(approx (+ (+ 1 N) N) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
99.1%
(*.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
99.4%
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (*.f64 (/.f64 #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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64)))
99.5%
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
98.6%
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (pow.f64 (pow.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
92.8%
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ (+ 1 N) N) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))) #s(literal -1 binary64)))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (*.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
98.4%
(*.f64 (exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64)))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
Compiler

Compiled 2 050 to 812 computations (60.4% saved)

simplify152.0ms (1.8%)

Memory
15.3MiB live, 210.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
cost-diff0
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64))))
cost-diff320
(*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
cost-diff15872
(/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
cost-diff0
#s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))
cost-diff0
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
cost-diff0
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))))
cost-diff7168
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #s(literal -1 binary64))
cost-diff0
(fma.f64 N N N)
cost-diff0
(fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
cost-diff1856
(/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))
cost-diff0
#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
cost-diff0
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
cost-diff0
(fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
cost-diff0
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))))
cost-diff68736
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))))
Rules
13 348×lower-fma.f32
13 332×lower-fma.f64
4 368×lower-*.f32
4 358×lower-*.f64
3 608×lower-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046534
088630
1145463
2292413
3622405
41551405
55091405
08500405
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
(+.f64 N #s(literal 1 binary64))
N
(-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))
(pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64))
(*.f64 (atan.f64 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 N)
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
#s(literal 4 binary64)
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))
(fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64))
(fma.f64 N N N)
N
#s(literal -1 binary64)
(fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))
(+.f64 N #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))))
#s(literal 1 binary64)
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
#s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))
(*.f64 N N)
N
#s(literal -1 binary64)
(/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64))))
(atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 (+.f64 #s(literal 1 binary64) N) N)
(+.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(fma.f64 (*.f64 N N) N #s(literal 1 binary64))
(*.f64 N N)
(/.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))
Outputs
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 (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 N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 4 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) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(+.f64 N #s(literal 1 binary64))
(-.f64 N #s(literal -1 binary64))
N
(-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))
(-.f64 (pow.f64 (*.f64 (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 N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 4 binary64)))
(pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (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 N)) #s(literal 2 binary64))
(*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (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 N))
(atan.f64 N)
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))
(pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 4 binary64))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(atan.f64 (-.f64 N #s(literal -1 binary64)))
#s(literal 4 binary64)
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64))
(fma.f64 N N N)
N
#s(literal -1 binary64)
(fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))
(+.f64 N #s(literal 1 binary64))
(-.f64 N #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #s(literal -1 binary64))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))))
#s(literal 1 binary64)
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
#s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))
(*.f64 N N)
N
#s(literal -1 binary64)
(/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 (+.f64 #s(literal 1 binary64) N) N)
(fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
(-.f64 N #s(literal -1 binary64))
#s(literal 1 binary64)
N
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64))
(fma.f64 (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(fma.f64 (*.f64 N N) N #s(literal 1 binary64))
(*.f64 N N)
(/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
(-.f64 N #s(literal 1 binary64))

localize141.0ms (1.7%)

Memory
4.0MiB live, 249.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.25
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
accuracy0.2734375
(*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
accuracy0.32421875
(/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
accuracy0.33041000976844204
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64))))
accuracy0.24609375
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #s(literal -1 binary64))
accuracy0.25
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
accuracy0.27734375
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))))
accuracy4.4566813909685346
#s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))
accuracy0
(+.f64 N #s(literal 1 binary64))
accuracy0.25
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
accuracy0.367851269536884
(fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64))
accuracy17.45793853485889
(/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))
accuracy0.25
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
accuracy59.7149928495612
#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
accuracy0.2578125
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))))
accuracy0.262382519536884
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))))
accuracy0.908535009768442
(pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64))
accuracy1.476022168594123
(pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))
Samples
103.0ms255×0valid
2.0ms5exit
Compiler

Compiled 573 to 50 computations (91.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-div: 25.0ms (29.9% of total)
ival-mult: 18.0ms (21.5% of total)
ival-add: 15.0ms (18% of total)
ival-atan2: 10.0ms (12% of total)
ival-pow: 5.0ms (6% of total)
ival-atan: 3.0ms (3.6% of total)
ival-sub: 3.0ms (3.6% of total)
ival-pow2: 3.0ms (3.6% of total)
adjust: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series31.0ms (0.4%)

Memory
-10.5MiB live, 66.8MiB allocated
Counts
22 → 264
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))) (patch (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))) (patch (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (patch (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))) (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))) (patch (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 N N N) (patch (fma.f64 N N N) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #<representation binary64>) () ())
#s(alt (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))) (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)) (patch #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
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Outputs
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#s(alt (* (- (* (pow (atan N) 2) (pow (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) 2)) (pow (atan (+ 1 N)) 4)) (atan2 1 (+ 1 (* N (+ 1 N))))) (taylor 0 N) (#s(alt (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))) (patch (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (- (* (pow (atan N) 2) (pow (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) 2)) (pow (atan (+ 1 N)) 4)) (atan2 1 (+ 1 (* N (+ 1 N))))) (taylor 0 N) (#s(alt (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))) (patch (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (atan2 1 (+ 1 (* N (+ 1 N)))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 N) (#s(alt (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (patch (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (patch (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (atan2 1 (+ 1 (* N (+ 1 N)))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))) (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
8.0ms
N
@-inf
((/ (* (atan2 1 (+ (* (+ N 1) N) 1)) (- (pow (* (atan N) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) 2) (pow (atan (+ N 1)) 4))) (- (pow (* (atan N) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) 2) (pow (atan (+ N 1)) 4))) (* (atan2 1 (+ (* (+ N 1) N) 1)) (- (pow (* (atan N) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) 2) (pow (atan (+ N 1)) 4))) (atan2 1 (+ (* (+ N 1) N) 1)) (+ (* (+ N 1) N) 1) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (+ N 1) N) -1)) (atan2 1 (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (+ N 1) N) -1))) (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* N N) N) (pow (/ 1 (atan2 1 (+ (* (+ 1 N) N) 1))) -1) (/ 1 (atan2 1 (+ (* (+ 1 N) N) 1))) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (/ (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (atan2 1 (+ (* (* (+ (* (* N N) N) 1) (/ 1 (+ (* N (- N 1)) 1))) N) 1))) (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N)))) (* (+ (* (* N N) N) 1) (/ 1 (+ (* N (- N 1)) 1))) (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (atan2 1 (+ (* (* (+ (* (* N N) N) 1) (/ 1 (+ (* N (- N 1)) 1))) N) 1))) (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (pow (atan (+ N 1)) 4) (pow (* (atan N) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) 2) (+ N 1) (atan2 1 (+ (* (* (+ (* (* N N) N) 1) (/ 1 (+ (* N (- N 1)) 1))) N) 1)))
6.0ms
N
@inf
((/ (* (atan2 1 (+ (* (+ N 1) N) 1)) (- (pow (* (atan N) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) 2) (pow (atan (+ N 1)) 4))) (- (pow (* (atan N) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) 2) (pow (atan (+ N 1)) 4))) (* (atan2 1 (+ (* (+ N 1) N) 1)) (- (pow (* (atan N) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) 2) (pow (atan (+ N 1)) 4))) (atan2 1 (+ (* (+ N 1) N) 1)) (+ (* (+ N 1) N) 1) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (+ N 1) N) -1)) (atan2 1 (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (+ N 1) N) -1))) (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* N N) N) (pow (/ 1 (atan2 1 (+ (* (+ 1 N) N) 1))) -1) (/ 1 (atan2 1 (+ (* (+ 1 N) N) 1))) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (/ (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (atan2 1 (+ (* (* (+ (* (* N N) N) 1) (/ 1 (+ (* N (- N 1)) 1))) N) 1))) (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N)))) (* (+ (* (* N N) N) 1) (/ 1 (+ (* N (- N 1)) 1))) (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (atan2 1 (+ (* (* (+ (* (* N N) N) 1) (/ 1 (+ (* N (- N 1)) 1))) N) 1))) (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (pow (atan (+ N 1)) 4) (pow (* (atan N) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) 2) (+ N 1) (atan2 1 (+ (* (* (+ (* (* N N) N) 1) (/ 1 (+ (* N (- N 1)) 1))) N) 1)))
4.0ms
N
@0
((/ (* (atan2 1 (+ (* (+ N 1) N) 1)) (- (pow (* (atan N) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) 2) (pow (atan (+ N 1)) 4))) (- (pow (* (atan N) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) 2) (pow (atan (+ N 1)) 4))) (* (atan2 1 (+ (* (+ N 1) N) 1)) (- (pow (* (atan N) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) 2) (pow (atan (+ N 1)) 4))) (atan2 1 (+ (* (+ N 1) N) 1)) (+ (* (+ N 1) N) 1) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (+ N 1) N) -1)) (atan2 1 (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (+ N 1) N) -1))) (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* N N) N) (pow (/ 1 (atan2 1 (+ (* (+ 1 N) N) 1))) -1) (/ 1 (atan2 1 (+ (* (+ 1 N) N) 1))) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (/ (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (atan2 1 (+ (* (* (+ (* (* N N) N) 1) (/ 1 (+ (* N (- N 1)) 1))) N) 1))) (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N)))) (* (+ (* (* N N) N) 1) (/ 1 (+ (* N (- N 1)) 1))) (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (atan2 1 (+ (* (* (+ (* (* N N) N) 1) (/ 1 (+ (* N (- N 1)) 1))) N) 1))) (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (pow (atan (+ N 1)) 4) (pow (* (atan N) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) 2) (+ N 1) (atan2 1 (+ (* (* (+ (* (* N N) N) 1) (/ 1 (+ (* N (- N 1)) 1))) N) 1)))

simplify204.0ms (2.4%)

Memory
3.3MiB live, 243.7MiB allocated
Algorithm
egg-herbie
Rules
16 218×lower-fma.f64
16 218×lower-fma.f32
4 642×lower-*.f64
4 642×lower-*.f32
1 726×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01223014
13162942
27322930
326762930
082482650
Stop Event
iter limit
node limit
Counts
264 → 259
Calls
Call 1
Inputs
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(* (- (* (pow (atan N) 2) (pow (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) 2)) (pow (atan (+ 1 N)) 4)) (atan2 1 (+ 1 (* N (+ 1 N)))))
(* (- (* (pow (atan N) 2) (pow (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) 2)) (pow (atan (+ 1 N)) 4)) (atan2 1 (+ 1 (* N (+ 1 N)))))
(* (- (* (pow (atan N) 2) (pow (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) 2)) (pow (atan (+ 1 N)) 4)) (atan2 1 (+ 1 (* N (+ 1 N)))))
(* (- (* (pow (atan N) 2) (pow (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) 2)) (pow (atan (+ 1 N)) 4)) (atan2 1 (+ 1 (* N (+ 1 N)))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (* N (+ 1 N)) 1)))
-1
(- (pow N 2) 1)
(- (* (pow N 2) (+ 1 (* 2 N))) 1)
(- (* (pow N 2) (+ 1 (* N (+ 2 N)))) 1)
N
(* N (+ 1 N))
(* N (+ 1 N))
(* N (+ 1 N))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(/ 1 (atan2 1 (+ 1 (* N (+ 1 N)))))
(/ 1 (atan2 1 (+ 1 (* N (+ 1 N)))))
(/ 1 (atan2 1 (+ 1 (* N (+ 1 N)))))
(/ 1 (atan2 1 (+ 1 (* N (+ 1 N)))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (- N 1))))))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (- N 1))))))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (- N 1))))))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (- N 1))))))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
(* (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (- N 1)))))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (- N 1)))))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (- N 1)))))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (- N 1)))))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(pow (atan (+ 1 N)) 4)
(pow (atan (+ 1 N)) 4)
(pow (atan (+ 1 N)) 4)
(pow (atan (+ 1 N)) 4)
(* (pow (atan N) 2) (pow (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) 2))
(* (pow (atan N) 2) (pow (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) 2))
(* (pow (atan N) 2) (pow (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) 2))
(* (pow (atan N) 2) (pow (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) 2))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (- N 1))))))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (- N 1))))))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (- N 1))))))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (+ 1 (* N (- N 1))))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(* (- (* (pow (atan N) 2) (pow (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) 2)) (pow (atan (+ 1 N)) 4)) (atan2 1 (+ 1 (+ N (pow N 2)))))
(* (- (* (pow (atan N) 2) (pow (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) 2)) (pow (atan (+ 1 N)) 4)) (atan2 1 (+ 1 (+ N (pow N 2)))))
(* (- (* (pow (atan N) 2) (pow (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) 2)) (pow (atan (+ 1 N)) 4)) (atan2 1 (+ 1 (+ N (pow N 2)))))
(* (- (* (pow (atan N) 2) (pow (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) 2)) (pow (atan (+ 1 N)) 4)) (atan2 1 (+ 1 (+ N (pow N 2)))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(pow N 4)
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))) (/ 1 (pow N 4))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* (atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N))))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N))))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N))))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(* (atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N))))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(pow (atan (+ 1 N)) 4)
(pow (atan (+ 1 N)) 4)
(pow (atan (+ 1 N)) 4)
(pow (atan (+ 1 N)) 4)
(* (pow (atan N) 2) (pow (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) 2))
(* (pow (atan N) 2) (pow (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) 2))
(* (pow (atan N) 2) (pow (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) 2))
(* (pow (atan N) 2) (pow (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) 2))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(* (- (* (pow (atan N) 2) (pow (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) 2)) (pow (atan (- 1 (* -1 N))) 4)) (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(* (- (* (pow (atan N) 2) (pow (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) 2)) (pow (atan (- 1 (* -1 N))) 4)) (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(* (- (* (pow (atan N) 2) (pow (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) 2)) (pow (atan (- 1 (* -1 N))) 4)) (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(* (- (* (pow (atan N) 2) (pow (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) 2)) (pow (atan (- 1 (* -1 N))) 4)) (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (* N (- 1 (* -1 N))) 1)))
(pow N 4)
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 2) N))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2)))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(* (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2)))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(* (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2)))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(* (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2)))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(pow (atan (- 1 (* -1 N))) 4)
(pow (atan (- 1 (* -1 N))) 4)
(pow (atan (- 1 (* -1 N))) 4)
(pow (atan (- 1 (* -1 N))) 4)
(* (pow (atan N) 2) (pow (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) 2))
(* (pow (atan N) 2) (pow (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) 2))
(* (pow (atan N) 2) (pow (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) 2))
(* (pow (atan N) 2) (pow (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) 2))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
Outputs
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(* (- (* (pow (atan N) 2) (pow (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) 2)) (pow (atan (+ 1 N)) 4)) (atan2 1 (+ 1 (* N (+ 1 N)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (-.f64 (*.f64 (pow.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 4 binary64))))
(* (- (* (pow (atan N) 2) (pow (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) 2)) (pow (atan (+ 1 N)) 4)) (atan2 1 (+ 1 (* N (+ 1 N)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (-.f64 (*.f64 (pow.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 4 binary64))))
(* (- (* (pow (atan N) 2) (pow (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) 2)) (pow (atan (+ 1 N)) 4)) (atan2 1 (+ 1 (* N (+ 1 N)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (-.f64 (*.f64 (pow.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64))) (pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 4 binary64))))
(* (- (* (pow (atan N) 2) (pow (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) 2)) (pow (atan (+ 1 N)) 4)) (atan2 1 (+ 1 (* N (+ 1 N)))))
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(-.f64 N #s(literal -1 binary64))
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(* (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2)))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2)))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2)))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* (atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2)))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(pow (atan (- 1 (* -1 N))) 4)
(pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 4 binary64))
(pow (atan (- 1 (* -1 N))) 4)
(pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 4 binary64))
(pow (atan (- 1 (* -1 N))) 4)
(pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 4 binary64))
(pow (atan (- 1 (* -1 N))) 4)
(pow.f64 (atan.f64 (-.f64 N #s(literal -1 binary64))) #s(literal 4 binary64))
(* (pow (atan N) 2) (pow (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) 2))
(*.f64 (pow.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))
(* (pow (atan N) 2) (pow (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) 2))
(*.f64 (pow.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))
(* (pow (atan N) 2) (pow (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) 2))
(*.f64 (pow.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))
(* (pow (atan N) 2) (pow (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) 2))
(*.f64 (pow.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))
N
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (/ (* N (- 1 (* -1 (pow N 3)))) (+ 1 (+ (* -1 N) (pow N 2))))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) N #s(literal 1 binary64)))

rewrite288.0ms (3.4%)

Memory
-13.0MiB live, 343.8MiB allocated
Rules
4 828×lower-/.f32
4 818×lower-/.f64
4 470×lower-fma.f32
4 456×lower-fma.f64
3 712×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046379
088341
1358247
22579247
08168247
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 039
Calls
Call 1
Inputs
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
#s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64))
(/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
(fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64))
(fma.f64 N N N)
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
#s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))
(/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64))))
(atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))
(pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64))
(+.f64 N #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (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 N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (fma.f64 (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 N) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (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 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (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 N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 (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 N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (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 N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))) (fma.f64 (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 N) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (-.f64 (*.f64 (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 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
(*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (fma.f64 (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 N) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 (*.f64 (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 N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))) (-.f64 (*.f64 (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 N)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))))
(*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (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 N)) #s(literal 4 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 8 binary64)))) (/.f64 (-.f64 (pow.f64 (*.f64 (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 N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 (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 N)) #s(literal 2 binary64))))))
(*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (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 N)) #s(literal 6 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 12 binary64)))) (/.f64 (-.f64 (pow.f64 (*.f64 (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 N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 (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 N)) #s(literal 2 binary64))) (pow.f64 (*.f64 (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 N)) #s(literal 4 binary64))))))
(*.f64 (/.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (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 N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.f64 (pow.f64 (*.f64 (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 N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))))
(*.f64 (*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 (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 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 (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 N)) #s(literal 2 binary64))))))
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(fma.f64 (*.f64 (*.f64 N N) N) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (*.f64 (*.f64 N N) N) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 N N) N) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (*.f64 (*.f64 N N) N)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 N N) N) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (*.f64 (*.f64 N N) N)))
(fma.f64 N #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 N N) N) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (*.f64 (*.f64 N N) N)))
(fma.f64 #s(literal 1 binary64) N #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (fma.f64 (*.f64 N N) N #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (fma.f64 (*.f64 N N) N #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N)) (*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (fma.f64 (*.f64 N N) N #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (fma.f64 (*.f64 N N) N #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N)) (fma.f64 (*.f64 N N) N #s(literal -1 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 N N) N #s(literal -1 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N)) (fma.f64 (*.f64 N N) N #s(literal -1 binary64))) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 N N) N #s(literal -1 binary64))) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 (*.f64 N N) (-.f64 #s(literal 1 binary64) N)))
(-.f64 (/.f64 (*.f64 N N) (-.f64 N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 N N) N) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (*.f64 (*.f64 N N) N)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 N N) N) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (*.f64 (*.f64 N N) N)))
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))

eval664.0ms (7.8%)

Memory
24.7MiB live, 1 064.8MiB allocated
Compiler

Compiled 124 008 to 6 152 computations (95% saved)

prune419.0ms (5%)

Memory
-20.8MiB live, 701.9MiB allocated
Pruning

34 alts after pruning (30 fresh and 4 done)

PrunedKeptTotal
New2 322172 339
Fresh131326
Picked325
Done022
Total2 338342 372
Accuracy
100.0%
Counts
2 372 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.7%
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #s(literal -1 binary64))
99.1%
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) #s(literal 2 binary64))
92.3%
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #s(literal 2 binary64))
99.3%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
99.5%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) #s(literal 1 binary64)))
72.8%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) N) #s(literal 1 binary64)))
99.5%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
99.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
99.4%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
99.4%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
99.4%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))) (/.f64 N (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))) #s(literal 1 binary64)))
72.9%
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
69.1%
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) N) N) N) N)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
65.8%
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (*.f64 (*.f64 (*.f64 N N) N) N)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
72.9%
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (fma.f64 N N N))))))
99.5%
(atan2.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
95.9%
(atan2.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (+ N 1) N) -1)) (fma.f64 N N N)))
92.7%
(atan2.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (+ N 1) N) -1)) (*.f64 N N)))
7.9%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
6.3%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
15.5%
(/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (atan2.f64 (/.f64 (-.f64 (*.f64 N N) (*.f64 (+.f64 N #s(literal 1 binary64)) (+.f64 N #s(literal 1 binary64)))) (-.f64 N (+.f64 N #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
99.4%
(/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
95.6%
(/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) #s(approx (+ (* N N) N) (*.f64 N N)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
92.7%
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ N 1) N) 1) (*.f64 N N))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))))
92.9%
(*.f64 (fma.f64 (atan2.f64 #s(approx (+ (+ 1 N) N) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
92.3%
(*.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
99.5%
(*.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
99.4%
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (*.f64 (/.f64 #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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64)))
98.6%
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (pow.f64 (pow.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
92.8%
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ (+ 1 N) N) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (*.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (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 N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (*.f64 (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 N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))) #s(literal -1 binary64)))
98.9%
(*.f64 (*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 (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 N)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 (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 N)) #s(literal 2 binary64))))))
98.4%
(*.f64 (exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64)))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
Compiler

Compiled 1 812 to 780 computations (57% saved)

simplify197.0ms (2.3%)

Memory
11.1MiB live, 124.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
cost-diff320
(*.f64 (/.f64 #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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
cost-diff6464
(pow.f64 (*.f64 (/.f64 #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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64))
cost-diff15872
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (*.f64 (/.f64 #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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64)))
cost-diff0
#s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))
cost-diff0
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
cost-diff0
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))))
cost-diff7104
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #s(literal 2 binary64))
cost-diff0
(+.f64 N #s(literal 1 binary64))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
cost-diff128
(fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64))
cost-diff1856
(/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))
cost-diff0
(-.f64 N #s(literal -1 binary64))
cost-diff0
#s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64)))
cost-diff0
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
cost-diff0
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))))
Rules
11 548×lower-fma.f32
11 538×lower-fma.f64
2 482×lower-*.f32
2 474×lower-*.f64
2 212×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038359
071293
1111279
2221277
3482277
4858277
51578277
64598277
08323276
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
#s(literal 1 binary64)
#s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64)))
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))
(fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64))
(+.f64 N #s(literal 1 binary64))
N
(*.f64 (fma.f64 N N N) N)
(fma.f64 N N N)
#s(literal -1 binary64)
(fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #s(literal 2 binary64))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
#s(literal 1 binary64)
#s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))
(*.f64 N N)
N
#s(literal 2 binary64)
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (*.f64 (/.f64 #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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64)))
(atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 (+.f64 #s(literal 1 binary64) N) N)
(+.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
N
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(pow.f64 (*.f64 (/.f64 #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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64))
(*.f64 (/.f64 #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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 #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) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
(+.f64 N #s(literal 1 binary64))
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64))
#s(literal 2 binary64)
#s(literal -1 binary64)
Outputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))))
(-.f64 N #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64)))
(+.f64 N #s(literal 1 binary64))
(-.f64 N #s(literal -1 binary64))
N
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
#s(literal 1 binary64)
#s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64)))
(-.f64 N #s(literal -1 binary64))
N
#s(literal -1 binary64)
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64))
(fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64))
(+.f64 N #s(literal 1 binary64))
(-.f64 N #s(literal -1 binary64))
N
(*.f64 (fma.f64 N N N) N)
(fma.f64 N N N)
#s(literal -1 binary64)
(fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #s(literal 2 binary64))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
#s(literal 1 binary64)
#s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))
(*.f64 N N)
N
#s(literal 2 binary64)
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (*.f64 (/.f64 #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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #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 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 (+.f64 #s(literal 1 binary64) N) N)
(fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
(-.f64 N #s(literal -1 binary64))
#s(literal 1 binary64)
N
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(pow.f64 (*.f64 (/.f64 #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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64))
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (/.f64 #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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
(/.f64 #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) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(+.f64 N #s(literal 1 binary64))
(-.f64 N #s(literal -1 binary64))
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64))
#s(literal 2 binary64)
#s(literal -1 binary64)

localize185.0ms (2.2%)

Memory
-3.5MiB live, 156.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.27734375
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
accuracy0.2890625
(pow.f64 (*.f64 (/.f64 #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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64))
accuracy0.2890625
(*.f64 (/.f64 #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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
accuracy0.34765625
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (*.f64 (/.f64 #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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64)))
accuracy0.12890625
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))))
accuracy0.25
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
accuracy0.5006637695368841
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #s(literal 2 binary64))
accuracy4.4566813909685346
#s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))
accuracy0.1953125
(fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64))
accuracy0.203125
(*.f64 (fma.f64 N N N) N)
accuracy0.25
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
accuracy17.45793853485889
(/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))
accuracy0
(-.f64 N #s(literal -1 binary64))
accuracy0.25
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
accuracy58.71798468413007
#s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64)))
accuracy0
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
accuracy0
(+.f64 N #s(literal 1 binary64))
accuracy0.15625
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))))
accuracy0.25
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
Samples
67.0ms255×0valid
1.0ms5exit
Compiler

Compiled 369 to 40 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 13.0ms (25.8% of total)
ival-add: 12.0ms (23.8% of total)
ival-atan2: 10.0ms (19.8% of total)
ival-div: 6.0ms (11.9% of total)
ival-sub: 2.0ms (4% of total)
ival-sqrt: 2.0ms (4% of total)
ival-pow: 2.0ms (4% of total)
ival-pow2: 2.0ms (4% of total)
adjust: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series47.0ms (0.5%)

Memory
4.2MiB live, 42.5MiB allocated
Counts
21 → 252
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64))) (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64)))) (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))) (patch #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 N #s(literal -1 binary64)) (patch (-.f64 N #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (patch (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))) (patch (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #s(literal 2 binary64)) (patch (pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) (patch (sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #<representation binary64>) () ())
#s(alt (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))) (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)) (patch #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)) #<representation binary64>) () ())
#s(alt (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (*.f64 (/.f64 #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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64))) (patch (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (*.f64 (/.f64 #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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 (/.f64 #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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (/.f64 #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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (*.f64 (/.f64 #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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())
#s(alt (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 N N N) N) (patch (*.f64 (fma.f64 N N N) N) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ 1 N) (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt 1 (taylor 0 N) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* N (+ 1 N))) (taylor 0 N) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* N (+ 1 N))) (taylor 0 N) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 N)) (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* N (- N 1))) (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))) (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (* N (+ 1 N)))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64)))) (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (* N (+ 1 N)))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64)))) (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (* N (+ 1 N)))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64)))) (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (* N (+ 1 N)))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64)))) (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 N) (#s(alt #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))) (patch #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))) (patch #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* N (+ 1 N))) (taylor 0 N) (#s(alt #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))) (patch #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* N (+ 1 N))) (taylor 0 N) (#s(alt #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))) (patch #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 N) (#s(alt (-.f64 N #s(literal -1 binary64)) (patch (-.f64 N #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (-.f64 N #s(literal -1 binary64)) (patch (-.f64 N #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (-.f64 N #s(literal -1 binary64)) (patch (-.f64 N #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (-.f64 N #s(literal -1 binary64)) (patch (-.f64 N #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 N) (#s(alt (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* N (+ 1 N))) (taylor 0 N) (#s(alt (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* N (+ 1 N))) (taylor 0 N) (#s(alt (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 N) (#s(alt (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (patch (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow N 2) 1) (taylor 0 N) (#s(alt (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (patch (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow N 2) (+ 1 (* 2 N))) 1) (taylor 0 N) (#s(alt (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (patch (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow N 2) (+ 1 (* N (+ 2 N)))) 1) (taylor 0 N) (#s(alt (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (patch (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (/ (- (* N (* (+ 1 N) (+ N (pow N 2)))) 1) (- (* N (+ 1 N)) 1))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))) (patch (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (/ (- (* N (* (+ 1 N) (+ N (pow N 2)))) 1) (- (* N (+ 1 N)) 1))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))) (patch (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (/ (- (* N (* (+ 1 N) (+ N (pow N 2)))) 1) (- (* N (+ 1 N)) 1))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))) (patch (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (/ (- (* N (* (+ 1 N) (+ N (pow N 2)))) 1) (- (* N (+ 1 N)) 1))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))) (patch (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (+.f64 N #s(literal 1 binary64)) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (* N (+ 1 N)))) (taylor 0 N) (#s(alt (pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #s(literal 2 binary64)) (patch (pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (* N (+ 1 N)))) (taylor 0 N) (#s(alt (pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #s(literal 2 binary64)) (patch (pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (* N (+ 1 N)))) (taylor 0 N) (#s(alt (pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #s(literal 2 binary64)) (patch (pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (* N (+ 1 N)))) (taylor 0 N) (#s(alt (pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #s(literal 2 binary64)) (patch (pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (atan2 1 (+ 1 (* N (+ 1 N))))) (taylor 0 N) (#s(alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) (patch (sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (atan2 1 (+ 1 (* N (+ 1 N))))) (taylor 0 N) (#s(alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) (patch (sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (atan2 1 (+ 1 (* N (+ 1 N))))) (taylor 0 N) (#s(alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) (patch (sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (atan2 1 (+ 1 (* N (+ 1 N))))) (taylor 0 N) (#s(alt (sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) (patch (sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #<representation binary64>) () ())) ())
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#s(alt (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) (taylor -inf N) (#s(alt (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt (pow N 3) (taylor -inf N) (#s(alt (*.f64 (fma.f64 N N N) N) (patch (*.f64 (fma.f64 N N N) N) #<representation binary64>) () ())) ())
#s(alt (* (pow N 3) (+ 1 (/ 1 N))) (taylor -inf N) (#s(alt (*.f64 (fma.f64 N N N) N) (patch (*.f64 (fma.f64 N N N) N) #<representation binary64>) () ())) ())
#s(alt (* (pow N 3) (+ 1 (/ 1 N))) (taylor -inf N) (#s(alt (*.f64 (fma.f64 N N N) N) (patch (*.f64 (fma.f64 N N N) N) #<representation binary64>) () ())) ())
#s(alt (* (pow N 3) (+ 1 (/ 1 N))) (taylor -inf N) (#s(alt (*.f64 (fma.f64 N N N) N) (patch (*.f64 (fma.f64 N N N) N) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))) (taylor -inf N) (#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))) (taylor -inf N) (#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))) (taylor -inf N) (#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N)))))) (taylor -inf N) (#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
3.0ms
N
@-inf
((/ 1 (/ 1 (+ N 1))) (atan2 1 (+ (* (/ 1 (/ 1 (+ N 1))) N) 1)) (+ (* (/ 1 (/ 1 (+ N 1))) N) 1) (/ 1 (+ N 1)) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (- N -1) (/ (+ (* (+ N 1) (* (+ (* N N) N) N)) -1) (+ (* (+ N 1) N) -1)) (+ (* (+ N 1) (* (+ (* N N) N) N)) -1) (atan2 1 (/ (+ (* (+ N 1) (* (+ (* N N) N) N)) -1) (+ (* (+ N 1) N) -1))) (+ N 1) (pow (sqrt (atan2 1 (+ (* (+ 1 N) N) 1))) 2) (sqrt (atan2 1 (+ (* (+ 1 N) N) 1))) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (pow (* (/ 1 (atan2 1 (+ (* (+ N 1) N) 1))) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) -1)) (pow (* (/ 1 (atan2 1 (+ (* (+ N 1) N) 1))) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) -1) (* (/ 1 (atan2 1 (+ (* (+ N 1) N) 1))) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (* (+ (* N N) N) N) (/ 1 (atan2 1 (+ (* (+ N 1) N) 1))))
3.0ms
N
@0
((/ 1 (/ 1 (+ N 1))) (atan2 1 (+ (* (/ 1 (/ 1 (+ N 1))) N) 1)) (+ (* (/ 1 (/ 1 (+ N 1))) N) 1) (/ 1 (+ N 1)) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (- N -1) (/ (+ (* (+ N 1) (* (+ (* N N) N) N)) -1) (+ (* (+ N 1) N) -1)) (+ (* (+ N 1) (* (+ (* N N) N) N)) -1) (atan2 1 (/ (+ (* (+ N 1) (* (+ (* N N) N) N)) -1) (+ (* (+ N 1) N) -1))) (+ N 1) (pow (sqrt (atan2 1 (+ (* (+ 1 N) N) 1))) 2) (sqrt (atan2 1 (+ (* (+ 1 N) N) 1))) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (pow (* (/ 1 (atan2 1 (+ (* (+ N 1) N) 1))) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) -1)) (pow (* (/ 1 (atan2 1 (+ (* (+ N 1) N) 1))) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) -1) (* (/ 1 (atan2 1 (+ (* (+ N 1) N) 1))) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (* (+ (* N N) N) N) (/ 1 (atan2 1 (+ (* (+ N 1) N) 1))))
2.0ms
N
@inf
((/ 1 (/ 1 (+ N 1))) (atan2 1 (+ (* (/ 1 (/ 1 (+ N 1))) N) 1)) (+ (* (/ 1 (/ 1 (+ N 1))) N) 1) (/ 1 (+ N 1)) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (- N -1) (/ (+ (* (+ N 1) (* (+ (* N N) N) N)) -1) (+ (* (+ N 1) N) -1)) (+ (* (+ N 1) (* (+ (* N N) N) N)) -1) (atan2 1 (/ (+ (* (+ N 1) (* (+ (* N N) N) N)) -1) (+ (* (+ N 1) N) -1))) (+ N 1) (pow (sqrt (atan2 1 (+ (* (+ 1 N) N) 1))) 2) (sqrt (atan2 1 (+ (* (+ 1 N) N) 1))) (atan2 1 (+ (* (+ 1 N) N) 1)) (+ (* (+ 1 N) N) 1) (* (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (pow (* (/ 1 (atan2 1 (+ (* (+ N 1) N) 1))) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) -1)) (pow (* (/ 1 (atan2 1 (+ (* (+ N 1) N) 1))) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) -1) (* (/ 1 (atan2 1 (+ (* (+ N 1) N) 1))) (atan2 (+ (* 2 N) 1) (- 1 (+ (* N N) N)))) (atan2 (+ (+ 1 N) N) (- 1 (+ (* N N) N))) (* (+ (* N N) N) N) (/ 1 (atan2 1 (+ (* (+ N 1) N) 1))))

simplify180.0ms (2.1%)

Memory
10.4MiB live, 124.4MiB allocated
Algorithm
egg-herbie
Rules
17 344×lower-fma.f64
17 344×lower-fma.f32
3 866×lower-*.f64
3 866×lower-*.f32
1 806×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01192436
13292394
28132378
333522376
081972089
Stop Event
iter limit
node limit
Counts
252 → 246
Calls
Call 1
Inputs
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
1
(+ 1 (* -1 N))
(+ 1 (* N (- N 1)))
(+ 1 (* N (- (* N (+ 1 (* -1 N))) 1)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
-1
(- (pow N 2) 1)
(- (* (pow N 2) (+ 1 (* 2 N))) 1)
(- (* (pow N 2) (+ 1 (* N (+ 2 N)))) 1)
(atan2 1 (/ (- (* N (* (+ 1 N) (+ N (pow N 2)))) 1) (- (* N (+ 1 N)) 1)))
(atan2 1 (/ (- (* N (* (+ 1 N) (+ N (pow N 2)))) 1) (- (* N (+ 1 N)) 1)))
(atan2 1 (/ (- (* N (* (+ 1 N) (+ N (pow N 2)))) 1) (- (* N (+ 1 N)) 1)))
(atan2 1 (/ (- (* N (* (+ 1 N) (+ N (pow N 2)))) 1) (- (* N (+ 1 N)) 1)))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(sqrt (atan2 1 (+ 1 (* N (+ 1 N)))))
(sqrt (atan2 1 (+ 1 (* N (+ 1 N)))))
(sqrt (atan2 1 (+ 1 (* N (+ 1 N)))))
(sqrt (atan2 1 (+ 1 (* N (+ 1 N)))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 1 N)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (* N (+ 1 N)))))
(/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (* N (+ 1 N)))))
(/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (* N (+ 1 N)))))
(/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (* N (+ 1 N)))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(pow N 2)
(* (pow N 2) (+ 1 N))
(* (pow N 2) (+ 1 N))
(* (pow N 2) (+ 1 N))
(/ 1 (atan2 1 (+ 1 (* N (+ 1 N)))))
(/ 1 (atan2 1 (+ 1 (* N (+ 1 N)))))
(/ 1 (atan2 1 (+ 1 (* N (+ 1 N)))))
(/ 1 (atan2 1 (+ 1 (* N (+ 1 N)))))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(/ 1 N)
(/ (- 1 (/ 1 N)) N)
(/ (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)) N)
(/ (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))) N)
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(pow N 4)
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))) (/ 1 (pow N 4))))
(atan2 1 (/ (- (* N (* (+ 1 N) (+ N (pow N 2)))) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (* N (* (+ 1 N) (+ N (pow N 2)))) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (* N (* (+ 1 N) (+ N (pow N 2)))) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (* N (* (+ 1 N) (+ N (pow N 2)))) 1) (- (+ N (pow N 2)) 1)))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(sqrt (atan2 1 (+ 1 (+ N (pow N 2)))))
(sqrt (atan2 1 (+ 1 (+ N (pow N 2)))))
(sqrt (atan2 1 (+ 1 (+ N (pow N 2)))))
(sqrt (atan2 1 (+ 1 (+ N (pow N 2)))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(pow N 3)
(* (pow N 3) (+ 1 (/ 1 N)))
(* (pow N 3) (+ 1 (/ 1 N)))
(* (pow N 3) (+ 1 (/ 1 N)))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(/ 1 N)
(* -1 (/ (- (/ 1 N) 1) N))
(* -1 (/ (- (* -1 (/ (- (/ 1 N) 1) N)) 1) N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 N) 1) N)) 1) N)) 1) N))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(pow N 4)
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 2) N))))
(atan2 1 (/ (- (* N (* (- 1 (* -1 N)) (- (pow N 2) (* -1 N)))) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2 1 (/ (- (* N (* (- 1 (* -1 N)) (- (pow N 2) (* -1 N)))) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2 1 (/ (- (* N (* (- 1 (* -1 N)) (- (pow N 2) (* -1 N)))) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2 1 (/ (- (* N (* (- 1 (* -1 N)) (- (pow N 2) (* -1 N)))) 1) (- (* N (- 1 (* -1 N))) 1)))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(sqrt (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(sqrt (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(sqrt (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(sqrt (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/ (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/ (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/ (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/ (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(pow N 3)
(* (pow N 3) (+ 1 (/ 1 N)))
(* (pow N 3) (+ 1 (/ 1 N)))
(* (pow N 3) (+ 1 (/ 1 N)))
(/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
Outputs
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 (* N (+ 1 N)))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(+ 1 (* N (+ 1 N)))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 N))
(-.f64 #s(literal 1 binary64) N)
(+ 1 (* N (- N 1)))
(fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))
(+ 1 (* N (- (* N (+ 1 (* -1 N))) 1)))
(*.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 (* N (+ 1 N)))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(+ 1 (* N (+ 1 N)))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 (* N (+ 1 N)))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(+ 1 (* N (+ 1 N)))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (pow N 2) 1)
(fma.f64 N N #s(literal -1 binary64))
(- (* (pow N 2) (+ 1 (* 2 N))) 1)
(fma.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (*.f64 N N) #s(literal -1 binary64))
(- (* (pow N 2) (+ 1 (* N (+ 2 N)))) 1)
(fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64))
(atan2 1 (/ (- (* N (* (+ 1 N) (+ N (pow N 2)))) 1) (- (* N (+ 1 N)) 1)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(atan2 1 (/ (- (* N (* (+ 1 N) (+ N (pow N 2)))) 1) (- (* N (+ 1 N)) 1)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(atan2 1 (/ (- (* N (* (+ 1 N) (+ N (pow N 2)))) 1) (- (* N (+ 1 N)) 1)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(atan2 1 (/ (- (* N (* (+ 1 N) (+ N (pow N 2)))) 1) (- (* N (+ 1 N)) 1)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(sqrt (atan2 1 (+ 1 (* N (+ 1 N)))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(sqrt (atan2 1 (+ 1 (* N (+ 1 N)))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(sqrt (atan2 1 (+ 1 (* N (+ 1 N)))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(sqrt (atan2 1 (+ 1 (* N (+ 1 N)))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 N)
(-.f64 N #s(literal -1 binary64))
(+ 1 (* N (+ 1 N)))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(+ 1 (* N (+ 1 N)))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (+ 1 N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
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(/ (atan2 1 (+ 1 (* N (+ 1 N)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (* N (+ 1 N)))))
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(/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (* N (+ 1 N)))))
(/.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (* N (+ 1 N)))))
(/.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (* N (+ 1 N)))))
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(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 N))
(*.f64 (fma.f64 N N N) N)
(* (pow N 2) (+ 1 N))
(*.f64 (fma.f64 N N N) N)
(* (pow N 2) (+ 1 N))
(*.f64 (fma.f64 N N N) N)
(/ 1 (atan2 1 (+ 1 (* N (+ 1 N)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(/ 1 (atan2 1 (+ 1 (* N (+ 1 N)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(/ 1 (atan2 1 (+ 1 (* N (+ 1 N)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(/ 1 (atan2 1 (+ 1 (* N (+ 1 N)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
N
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (- 1 (/ 1 N)) N)
(/.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 N N))
(/ (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)) N)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)) (*.f64 N N))
(/ (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))) N)
(/.f64 (-.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N)) (*.f64 N N))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
N
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(pow N 4)
(*.f64 (*.f64 (*.f64 N N) N) N)
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) N) N) N) N)
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(*.f64 (fma.f64 N N N) (fma.f64 N N N))
(* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))) (/ 1 (pow N 4))))
(fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64))
(atan2 1 (/ (- (* N (* (+ 1 N) (+ N (pow N 2)))) 1) (- (+ N (pow N 2)) 1)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(atan2 1 (/ (- (* N (* (+ 1 N) (+ N (pow N 2)))) 1) (- (+ N (pow N 2)) 1)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(atan2 1 (/ (- (* N (* (+ 1 N) (+ N (pow N 2)))) 1) (- (+ N (pow N 2)) 1)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(atan2 1 (/ (- (* N (* (+ 1 N) (+ N (pow N 2)))) 1) (- (+ N (pow N 2)) 1)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
N
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(sqrt (atan2 1 (+ 1 (+ N (pow N 2)))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(sqrt (atan2 1 (+ 1 (+ N (pow N 2)))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(sqrt (atan2 1 (+ 1 (+ N (pow N 2)))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(sqrt (atan2 1 (+ 1 (+ N (pow N 2)))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ N (pow N 2))))
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(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
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(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
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(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
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(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
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(/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
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(/ (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))) (atan2 1 (+ 1 (+ N (pow N 2)))))
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(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(pow N 3)
(*.f64 (*.f64 N N) N)
(* (pow N 3) (+ 1 (/ 1 N)))
(*.f64 (fma.f64 N N N) N)
(* (pow N 3) (+ 1 (/ 1 N)))
(*.f64 (fma.f64 N N N) N)
(* (pow N 3) (+ 1 (/ 1 N)))
(*.f64 (fma.f64 N N N) N)
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
N
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(* -1 (/ (- (/ 1 N) 1) N))
(/.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 N N))
(* -1 (/ (- (* -1 (/ (- (/ 1 N) 1) N)) 1) N))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)) (*.f64 N N))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 N) 1) N)) 1) N)) 1) N))
(/.f64 (-.f64 (/.f64 (-.f64 N #s(literal 1 binary64)) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N)) (*.f64 N N))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
N
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(pow N 4)
(*.f64 (*.f64 (*.f64 N N) N) N)
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) N) N) N) N)
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(*.f64 (fma.f64 N N N) (fma.f64 N N N))
(* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 2) N))))
(fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64))
(atan2 1 (/ (- (* N (* (- 1 (* -1 N)) (- (pow N 2) (* -1 N)))) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(atan2 1 (/ (- (* N (* (- 1 (* -1 N)) (- (pow N 2) (* -1 N)))) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(atan2 1 (/ (- (* N (* (- 1 (* -1 N)) (- (pow N 2) (* -1 N)))) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
(atan2 1 (/ (- (* N (* (- 1 (* -1 N)) (- (pow N 2) (* -1 N)))) 1) (- (* N (- 1 (* -1 N))) 1)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal -1 binary64))))
N
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(* N (+ 1 (/ 1 N)))
(-.f64 N #s(literal -1 binary64))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(sqrt (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(sqrt (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(sqrt (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(sqrt (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(atan2 1 (+ 1 (* N (- 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ (atan2 1 (+ 1 (* N (- 1 (* -1 N))))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(/ (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(/ (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(/ (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))) (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))
(atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(pow N 3)
(*.f64 (*.f64 N N) N)
(* (pow N 3) (+ 1 (/ 1 N)))
(*.f64 (fma.f64 N N N) N)
(* (pow N 3) (+ 1 (/ 1 N)))
(*.f64 (fma.f64 N N N) N)
(* (pow N 3) (+ 1 (/ 1 N)))
(*.f64 (fma.f64 N N N) N)
(/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(/ 1 (atan2 1 (+ 1 (* N (- 1 (* -1 N))))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))

rewrite259.0ms (3.1%)

Memory
10.1MiB live, 215.4MiB allocated
Rules
9 210×lower-fma.f32
9 200×lower-fma.f64
4 618×lower-/.f32
4 610×lower-/.f64
3 472×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038278
071208
1289194
22154194
08346193
Stop Event
iter limit
node limit
iter limit
Counts
21 → 991
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
#s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64)))
(-.f64 N #s(literal -1 binary64))
(/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))
(fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
(+.f64 N #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #s(literal 2 binary64))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
#s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (*.f64 (/.f64 #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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64)))
(pow.f64 (*.f64 (/.f64 #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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64))
(*.f64 (/.f64 #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 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(*.f64 (fma.f64 N N N) N)
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (fma.f64 #s(literal -1 binary64) N #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 N N) N #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 N #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) #s(literal 1 binary64)))
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(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N) (*.f64 (*.f64 N N) N)) N) (fma.f64 (*.f64 (*.f64 N N) N) N (*.f64 N (-.f64 N (*.f64 N N)))))
(/.f64 (*.f64 N (*.f64 (fma.f64 N N N) (-.f64 (*.f64 N N) N))) (-.f64 (*.f64 N N) N))
(/.f64 (*.f64 N (fma.f64 (*.f64 (*.f64 (*.f64 N N) N) N) (*.f64 N N) (*.f64 (*.f64 N N) N))) (fma.f64 (*.f64 (*.f64 N N) N) N (*.f64 N (-.f64 N (*.f64 N N)))))
(/.f64 (neg.f64 (*.f64 N N)) (/.f64 #s(literal -1 binary64) (-.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 N N) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal -1 binary64))))
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) (*.f64 (*.f64 N N) N))
(fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)) (*.f64 N N))
(fma.f64 (*.f64 (*.f64 N N) N) #s(literal 1 binary64) (*.f64 N N))
(fma.f64 (*.f64 N N) N (*.f64 N N))
(fma.f64 (*.f64 N N) #s(literal 1 binary64) (*.f64 (*.f64 N N) N))
(fma.f64 N (*.f64 N N) (*.f64 N N))
(fma.f64 N N (*.f64 (*.f64 N N) N))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 N N) N) (*.f64 N N))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) (*.f64 (*.f64 N N) N))
(+.f64 (*.f64 (*.f64 N N) N) (*.f64 N N))
(+.f64 (*.f64 N N) (*.f64 (*.f64 N N) N))
(exp.f64 (-.f64 (*.f64 (log.f64 N) #s(literal 2 binary64)) (neg.f64 (log1p.f64 N))))
(exp.f64 (fma.f64 (log.f64 N) #s(literal 2 binary64) (log1p.f64 N)))
(exp.f64 (+.f64 (log1p.f64 N) (*.f64 (log.f64 N) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))))
(pow.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))))
(exp.f64 (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))))

eval329.0ms (3.9%)

Memory
-22.3MiB live, 213.3MiB allocated
Compiler

Compiled 43 025 to 3 736 computations (91.3% saved)

prune334.0ms (3.9%)

Memory
20.5MiB live, 356.5MiB allocated
Pruning

34 alts after pruning (27 fresh and 7 done)

PrunedKeptTotal
New1 582121 594
Fresh101525
Picked235
Done044
Total1 594341 628
Accuracy
100.0%
Counts
1 628 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.8%
(pow.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
92.7%
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #s(literal -1 binary64))
73.0%
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))) #s(literal -1/2 binary64))
99.1%
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)))) #s(literal 2 binary64))
95.4%
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))) #s(literal 2 binary64))
92.3%
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))) #s(literal 2 binary64))
99.3%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
99.5%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (/.f64 N (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) #s(literal 1 binary64)))
72.8%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) N) #s(literal 1 binary64)))
92.7%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ N 1)) (/.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
99.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
99.4%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) N #s(literal 1 binary64)))
99.4%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
99.4%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))) (/.f64 N (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))) #s(literal 1 binary64)))
72.9%
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
65.8%
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (*.f64 (*.f64 (*.f64 N N) N) N)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
69.1%
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (+ N 1) (* (+ (* N N) N) N)) -1) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) N) N) N) N)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
72.9%
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (fma.f64 N N N))))))
99.5%
(atan2.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
95.9%
(atan2.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (+ N 1) N) -1)) (fma.f64 N N N)))
92.7%
(atan2.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (+ N 1) N) -1)) (*.f64 N N)))
7.9%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
6.3%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
99.5%
(/.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))))
99.4%
(/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
95.6%
(/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) #s(approx (+ (* N N) N) (*.f64 N N)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
99.5%
(*.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
99.2%
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64)))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64)))
99.5%
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))))
98.6%
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (pow.f64 (pow.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
92.8%
(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ (+ 1 N) N) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
99.4%
(*.f64 (/.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (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 N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (*.f64 (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 N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))))) #s(literal -1 binary64)))
99.4%
(*.f64 (*.f64 (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal -1 binary64)) N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
Compiler

Compiled 2 799 to 619 computations (77.9% saved)

regimes39.0ms (0.5%)

Memory
-15.3MiB live, 59.2MiB allocated
Counts
69 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (+ N 1) N) -1)) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (+ N 1) N) -1)) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ N 1)) (/.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (*.f64 (*.f64 (*.f64 N N) N) N)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 N (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (+ N 1) (* (+ (* N N) N) N)) -1) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) N) N) N) N)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) N) N) N) N)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (fma.f64 N N N) N) #s(literal -1 binary64)) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) N) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal -1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
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(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
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(/.f64 (*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64)))) (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(pow.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
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(*.f64 (atan2.f64 (+.f64 (+.f64 #s(literal 1 binary64) N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 N N) N #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 N #s(literal 1 binary64)) #s(literal 1 binary64)))) N #s(literal 1 binary64)))) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64)))
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(*.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
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(/.f64 (*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N #s(literal 1 binary64)) N #s(literal 1 binary64))) (fma.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)))) (-.f64 (*.f64 (atan.f64 N) (atan2.f64 (fma.f64 #s(literal 2 binary64) N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))
Outputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
Calls

2 calls:

19.0ms
N
13.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
99.6%1N
99.6%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (+ N 1) N) -1)) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (+ N 1) N) -1)) (fma.f64 N N N)))
Outputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
Calls

2 calls:

3.0ms
N
2.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
95.9%1N
95.9%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0%)

Memory
8.2MiB live, 8.2MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* N N) N) (+ (* N N) N)) -1) (+ (* (+ N 1) N) -1)) (*.f64 N N)))
Outputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
Calls

2 calls:

2.0ms
N
2.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
92.7%1N
92.7%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0%)

Memory
-32.3MiB live, 6.5MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
Outputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
Calls

2 calls:

3.0ms
N
1.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
7.9%1N
7.9%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory
6.0MiB live, 6.0MiB allocated
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 (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
Outputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
Calls

2 calls:

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

Compiled 10 to 7 computations (30% saved)

simplify6.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated
Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02059
12659
22959
33059
43159
Stop Event
saturated
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))
Outputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) N #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) #s(approx (+ (* (+ 1 N) N) 1) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) (-.f64 N #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* (+ 1 N) N) 1) #s(literal 1 binary64)))

soundness578.0ms (6.8%)

Memory
-7.3MiB live, 354.7MiB allocated
Rules
10 354×lower-fma.f64
10 354×lower-fma.f32
4 024×lower-*.f64
4 024×lower-*.f32
3 876×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0602384
11322376
22122376
36932376
432822376
562612376
081282083
0616
01016
14416
228416
3288516
0835316
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 135 to 69 computations (48.9% saved)

preprocess51.0ms (0.6%)

Memory
14.2MiB live, 129.8MiB allocated
Compiler

Compiled 120 to 62 computations (48.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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