2atan (example 3.5)

Time bar (total: 9.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

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

Compiled 15 to 11 computations (26.7% saved)

sample1.6s (17.6%)

Memory
31.1MiB live, 1 950.2MiB allocated
Samples
1.1s7 449×1valid
78.0ms407×2valid
32.0ms400×0valid
Precisions
Click to see histograms. Total time spent on operations: 982.0ms
ival-atan: 344.0ms (35% of total)
adjust: 235.0ms (23.9% of total)
const: 139.0ms (14.2% of total)
ival-add: 112.0ms (11.4% of total)
ival-sub: 79.0ms (8% of total)
ival->: 26.0ms (2.6% of total)
ival-<: 23.0ms (2.3% of total)
ival-and: 11.0ms (1.1% of total)
exact: 8.0ms (0.8% of total)
ival-assert: 6.0ms (0.6% of total)
Bogosity

explain144.0ms (1.6%)

Memory
25.4MiB live, 177.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2550-1(6.264014269349455)(-.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))cancellation2541
Confusion
Predicted +Predicted -
+2541
-01
Precision
1.0
Recall
0.996078431372549
Confusion?
Predicted +Predicted MaybePredicted -
+25410
-001
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
02
1254
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
56.0ms446×1valid
7.0ms40×2valid
1.0ms26×0valid
Compiler

Compiled 48 to 22 computations (54.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-atan: 24.0ms (51.4% of total)
adjust: 12.0ms (25.7% of total)
ival-add: 5.0ms (10.7% of total)
ival-sub: 5.0ms (10.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess22.0ms (0.2%)

Memory
-0.8MiB live, 34.6MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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))
Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶8.8%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify14.0ms (0.1%)

Memory
-29.6MiB live, 19.2MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
N
#s(literal 1 binary64)
(atan.f64 N)

localize41.0ms (0.4%)

Memory
4.2MiB live, 78.6MiB 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)
accuracy58.38752503704534
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Samples
27.0ms223×1valid
3.0ms20×2valid
1.0ms13×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-atan: 9.0ms (42.8% of total)
adjust: 6.0ms (28.6% of total)
ival-add: 3.0ms (14.3% of total)
ival-sub: 3.0ms (14.3% 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
3.8MiB live, 3.8MiB 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)) (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 (* -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 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 (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 (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 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 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 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 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 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 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

12 calls:

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

simplify15.0ms (0.2%)

Memory
19.8MiB live, 19.8MiB allocated
Algorithm
1×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
6381186
7420186
8475186
9490186
10498186
0498186
Stop Event
1×iter limit
1×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 N))
(- (atan (+ 1 N)) (atan N))
(- (atan (+ 1 N)) (atan N))
(- (atan (+ 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 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (+ 1 N))
(atan (- 1 (* -1 N)))
(atan (- 1 (* -1 N)))
(atan (- 1 (* -1 N)))
(atan (- 1 (* -1 N)))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
Outputs
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (+ 1 N)) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (- 1 (* -1 N))) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (- 1 (* -1 N))) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (- 1 (* -1 N))) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(- (atan (- 1 (* -1 N))) (atan N))
(-.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) (atan.f64 N))
(atan (+ 1 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (+ 1 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (+ 1 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (+ 1 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (+ 1 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (+ 1 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (+ 1 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (+ 1 N))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (- 1 (* -1 N)))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (- 1 (* -1 N)))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (- 1 (* -1 N)))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
(atan (- 1 (* -1 N)))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
N
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
N
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)
(atan N)
(atan.f64 N)

rewrite234.0ms (2.5%)

Memory
-16.1MiB live, 331.6MiB 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
1×iter limit
1×node limit
1×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
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (neg.f64 (atan.f64 N)))
(+.f64 (neg.f64 (atan.f64 N)) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(-.f64 #s(literal 0 binary64) (atan2.f64 (-.f64 N (+.f64 N #s(literal 1 binary64))) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(-.f64 (+.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 0 binary64)) (atan.f64 N))
(fma.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (/.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(fma.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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) #s(literal -1 binary64) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(fma.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(fma.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 #s(literal -1 binary64) (atan.f64 N) (atan.f64 (+.f64 N #s(literal 1 binary64))))
(fma.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3/2 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(fma.f64 (/.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 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (-.f64 N (+.f64 N #s(literal 1 binary64))) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(fma.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (-.f64 (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (/.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (neg.f64 (/.f64 (pow.f64 (atan.f64 N) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (neg.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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))))))
(neg.f64 (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))))
(neg.f64 (/.f64 (*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (neg.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) (atan2.f64 (+.f64 N (+.f64 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 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64))) (+.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (neg.f64 (*.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (neg.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (atan.f64 N) #s(literal 2 binary64)) (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (neg.f64 (*.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)))))))
(/.f64 (*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (neg.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) (neg.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 9 binary64)) (pow.f64 (atan.f64 N) #s(literal 9 binary64))) (*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 N) #s(literal 6 binary64)) (pow.f64 (*.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 3 binary64))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64))) (*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 6 binary64)) (pow.f64 (atan.f64 N) #s(literal 6 binary64))) (*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (+.f64 (+.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64))) (pow.f64 (*.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (atan.f64 N) #s(literal 4 binary64))) (*.f64 (atan2.f64 (+.f64 N (+.f64 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 2 binary64)) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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))) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64)) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (atan.f64 N) #s(literal 2 binary64)))) (pow.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 2 binary64)))
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(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))
(*.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) (+.f64 N #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (fma.f64 N (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N N)) (*.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N))))) (fma.f64 N (*.f64 N (*.f64 N N)) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N)))))
(*.f64 (/.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (*.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N))) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N))
(*.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N (*.f64 N N) #s(literal -1 binary64))) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 N N))) (+.f64 N #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 N (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 N (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N N)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (*.f64 N N) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 N (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N N)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (*.f64 N (*.f64 N N)) (fma.f64 N N #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64))))
(exp.f64 (log.f64 (atan.f64 N)))
(exp.f64 (*.f64 (log.f64 (atan.f64 N)) #s(literal 1 binary64)))
(atan.f64 N)
(pow.f64 (atan.f64 N) #s(literal 1 binary64))

eval42.0ms (0.4%)

Memory
16.1MiB live, 97.6MiB allocated
Compiler

Compiled 9 521 to 917 computations (90.4% saved)

prune44.0ms (0.5%)

Memory
22.6MiB live, 98.0MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New27510285
Fresh000
Picked101
Done000
Total27610286
Accuracy
99.8%
Counts
286 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
▶99.5%
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
▶99.5%
(*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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))))))
99.5%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
▶99.5%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
99.3%
(*.f64 (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 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 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (-.f64 N (+.f64 N #s(literal 1 binary64))) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))
99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 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 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1 binary64)))
99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
▶91.9%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
Compiler

Compiled 746 to 264 computations (64.6% saved)

simplify535.0ms (5.8%)

Memory
-137.8MiB live, 421.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
cost-diff0
(atan.f64 N)
cost-diff0
(fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))
cost-diff55552
(*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))))
cost-diff0
(+.f64 N (+.f64 N #s(literal 1 binary64)))
cost-diff0
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
cost-diff320
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
cost-diff15872
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
cost-diff0
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
cost-diff0
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
cost-diff15872
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
cost-diff0
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))
cost-diff448
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64))
cost-diff576
(log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))
cost-diff12800
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
cost-diff0
(+.f64 N #s(literal 1 binary64))
cost-diff0
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
Rules
9 390×lower-*.f32
9 380×lower-*.f64
6 670×lower-fma.f32
6 664×lower-fma.f64
4 624×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026469
050363
185360
2143358
3312358
41086358
54082358
64372358
74751358
85026358
95202358
105349358
115831358
125952358
136079358
146212358
156351358
166496358
176647358
186804358
196929358
207028358
011097347
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
#s(literal 1 binary64)
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
N
(+.f64 N #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64))
(log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))
#s(literal 1 binary64)
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
N
(+.f64 N #s(literal 1 binary64))
#s(literal -1 binary64)
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
#s(literal 1 binary64)
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
N
(+.f64 N #s(literal 1 binary64))
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 N (+.f64 N #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 N (+.f64 N #s(literal 1 binary64)))
N
(+.f64 N #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (+.f64 N (+.f64 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.f64 N)
N
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 N (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
#s(literal 1 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 2 binary64))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
#s(literal 2 binary64)
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 N N (+.f64 N #s(literal 1 binary64))))
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
Outputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
#s(literal 1 binary64)
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
N
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64))
(log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))
(neg.f64 (log.f64 (atan2.f64 #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 N N (+.f64 N #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #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 N N (+.f64 N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
N
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
#s(literal -1 binary64)
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
#s(literal 1 binary64)
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
N
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 N (+.f64 N #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 N N))
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 N (+.f64 N #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 N N))
N
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (+.f64 #s(literal 1 binary64) (+.f64 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)))
(atan.f64 N)
N
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 N (+.f64 N #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 N N))
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
#s(literal 1 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 2 binary64))
(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
#s(literal 2 binary64)
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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 N N (+.f64 N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))

localize222.0ms (2.4%)

Memory
-7.5MiB live, 232.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.2578125
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
accuracy0.38671875
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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))))
accuracy0.39681625976844204
(*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))))
accuracy0.89453125
(fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))
accuracy0.0234375
(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
accuracy0.2578125
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
accuracy0.34669877930532605
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
accuracy0.40625
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
accuracy0.00390625
(+.f64 N (+.f64 N #s(literal 1 binary64)))
accuracy0.2578125
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
accuracy0.35546875
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
accuracy0.36947250976844204
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
accuracy0.01171875
(log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))
accuracy0.2578125
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
accuracy0.296875
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))
accuracy5.152749028137578
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
accuracy0
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
accuracy0
(+.f64 N #s(literal 1 binary64))
accuracy0.2578125
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
Samples
61.0ms256×0valid
Compiler

Compiled 515 to 30 computations (94.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 13.0ms (30.9% of total)
ival-div: 6.0ms (14.3% of total)
ival-add: 6.0ms (14.3% of total)
ival-atan2: 4.0ms (9.5% of total)
ival-log: 4.0ms (9.5% of total)
ival-exp: 3.0ms (7.1% of total)
ival-atan: 3.0ms (7.1% of total)
ival-pow2: 2.0ms (4.8% of total)
ival-sub: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series101.0ms (1.1%)

Memory
11.1MiB live, 122.5MiB allocated
Counts
18 → 216
Calls
Call 1
Inputs
#s(alt (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 N N (+.f64 N #s(literal 1 binary64))) (patch (fma.f64 N N (+.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 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) (patch (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)) (patch (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 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 N N (+.f64 N #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())
#s(alt (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())
#s(alt (*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))) (patch (*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))) #<representation binary64>) () ())
#s(alt (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (patch (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #<representation binary64>) () ())
#s(alt (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())
#s(alt (+.f64 N (+.f64 N #s(literal 1 binary64))) (patch (+.f64 N (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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))))) (patch (*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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))))) #<representation binary64>) () ())
#s(alt (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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))) (patch (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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))) #<representation binary64>) () ())
#s(alt (atan.f64 N) (patch (atan.f64 N) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())
#s(alt (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))) (patch (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))) #<representation binary64>) () ())
Outputs
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor inf N) (#s(alt (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor inf N) (#s(alt (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor inf N) (#s(alt (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))) (taylor 0 N) (#s(alt (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))) (patch (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))) (taylor inf N) (#s(alt (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))) (patch (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))) (taylor inf N) (#s(alt (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))) (patch (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))) (taylor inf N) (#s(alt (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))) (patch (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2))) (taylor inf N) (#s(alt (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))) (patch (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 1 (- (+ 1 (pow N 2)) (* -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 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))) (patch (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 1 (- (+ 1 (pow N 2)) (* -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 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))) (patch (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))) #<representation binary64>) () ())) ())
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#s(alt (/ (atan2 1 (- (+ 1 (pow N 2)) (* -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 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))) (patch (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))) #<representation binary64>) () ())) ())
Calls

54 calls:

TimeVariablePointExpression
33.0ms
N
@0
(log (/ 1 (atan2 1 (+ (* N N) (+ N 1)))))
27.0ms
N
@inf
(log (/ 1 (atan2 1 (+ (* N N) (+ N 1)))))
17.0ms
N
@-inf
(log (/ 1 (atan2 1 (+ (* N N) (+ N 1)))))
4.0ms
N
@0
(/ (atan2 1 (+ (* N N) (+ N 1))) (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2)))
1.0ms
N
@-inf
(/ (atan2 1 (+ (* N N) (+ N 1))) (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2)))

simplify274.0ms (3%)

Memory
-7.4MiB live, 208.2MiB allocated
Algorithm
1×egg-herbie
Rules
10 708×lower-fma.f64
10 708×lower-fma.f32
3 516×lower-*.f64
3 516×lower-*.f32
1 634×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0592684
11412652
22342652
37242652
432332652
561912652
081212335
Stop Event
1×iter limit
1×node limit
Counts
216 → 214
Calls
Call 1
Inputs
(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 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 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)))))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 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))))
(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 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))))
(log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))))
(log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))))
(log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))))
(log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))))
(log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))))
(log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))))
(log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))))
(log (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
(log (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
(log (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
(log (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
(* -1 (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))))
(* -1 (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))))
(* -1 (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))))
(* -1 (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))))
(* -1 (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))))
(* -1 (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))))
(* -1 (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))))
(* -1 (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))))
(* -1 (log (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))))
(* -1 (log (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))))
(* -1 (log (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))))
(* -1 (log (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -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)))))
(/ 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)))))
(/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(/ 1 (atan2 1 (- (+ 1 (pow 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 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(* (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 (* 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 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 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 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(/ (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 (* 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 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 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))))
(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 (* -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)))
1
(+ 1 (* 2 N))
(+ 1 (* 2 N))
(+ 1 (* 2 N))
(* 2 N)
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(* 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 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -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))
(+ (* (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 (* -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)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(atan N)
(/ 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)))))
(/ 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)))))
(/ 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))))
(/ (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)))
(/ (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)))
(/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2)))
(/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2)))
(/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2)))
(/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (+ (* (atan N) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (pow (atan (- 1 (* -1 N))) 2)))
Outputs
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 (* N (+ 1 N)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+ 1 (* N (+ 1 N)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(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)))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(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)))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
N
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
N
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))))
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))))
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))))
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))))
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))))
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))))
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))))
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))))
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(log (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(log (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(log (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(log (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(* -1 (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))))
(log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* -1 (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))))
(log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* -1 (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))))
(log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* -1 (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))))
(log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* -1 (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))))
(log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* -1 (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))))
(log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* -1 (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))))
(log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* -1 (log (/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))))
(log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* -1 (log (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))))
(log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* -1 (log (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))))
(log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* -1 (log (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))))
(log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* -1 (log (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))))
(log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 1 (+ 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(/.f64 #s(literal 1 binary64) (atan2.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
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(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (fma.f64 N #s(literal 2 binary64) #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))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (fma.f64 N #s(literal 2 binary64) #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))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (fma.f64 N #s(literal 2 binary64) #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))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (fma.f64 N #s(literal 2 binary64) #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))))
(/ (atan2 1 (+ 1 (+ N (pow N 2)))) (+ (* (atan N) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (pow (atan (+ 1 N)) 2)))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (fma.f64 N #s(literal 2 binary64) #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))))
(/ (atan2 1 (- (+ 1 (pow N 2)) (* -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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (fma.f64 N #s(literal 2 binary64) #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))))
(/ (atan2 1 (- (+ 1 (pow N 2)) (* -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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (fma.f64 N #s(literal 2 binary64) #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))))
(/ (atan2 1 (- (+ 1 (pow N 2)) (* -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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (fma.f64 N #s(literal 2 binary64) #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))))
(/ (atan2 1 (- (+ 1 (pow N 2)) (* -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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (fma.f64 N #s(literal 2 binary64) #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))))

rewrite446.0ms (4.8%)

Memory
14.9MiB live, 398.6MiB allocated
Rules
4 808×lower-/.f32
4 800×lower-/.f64
4 550×lower-fma.f32
4 544×lower-fma.f64
4 126×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026315
050207
1180206
21238204
08207197
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 1 266
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 N (+.f64 N #s(literal 1 binary64)))
(*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (+.f64 N (+.f64 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.f64 N)
(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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
(exp.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))
(+.f64 (*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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 2 binary64))) (*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N))))
(+.f64 (*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N))) (*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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 2 binary64))))
(+.f64 (*.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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 2 binary64)) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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 0 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 2 binary64)) (-.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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 #s(literal 1 binary64) (+.f64 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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (/.f64 (/.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)) (-.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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 #s(literal 1 binary64) (+.f64 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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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 2 binary64)) (*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N))))
(fma.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) (*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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 2 binary64))))
(fma.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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 2 binary64)) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (atan2.f64 #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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))
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(*.f64 (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (+.f64 (pow.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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)))) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (fma.f64 (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 2 binary64)) (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N))) (pow.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 2 binary64))))))
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (+.f64 (pow.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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)))) (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (fma.f64 (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 2 binary64)) (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N))) (pow.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 2 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (-.f64 (pow.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)))) (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (+.f64 (pow.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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)))) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (fma.f64 (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 2 binary64)) (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N))) (pow.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 2 binary64))))))
(*.f64 (/.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (-.f64 (pow.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)))) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (neg.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (+.f64 (pow.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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)))) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (fma.f64 (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 2 binary64)) (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N))) (pow.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (neg.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (-.f64 (pow.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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)))) (/.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (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 2 binary64)) (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N))) (pow.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 2 binary64))))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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))))))
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(*.f64 (/.f64 (*.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 2 binary64)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 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))))))

eval1.2s (12.6%)

Memory
13.9MiB live, 946.1MiB allocated
Compiler

Compiled 215 688 to 6 121 computations (97.2% saved)

prune404.0ms (4.4%)

Memory
18.5MiB live, 750.0MiB allocated
Pruning

31 alts after pruning (30 fresh and 1 done)

PrunedKeptTotal
New3 589273 616
Fresh235
Picked415
Done000
Total3 595313 626
Accuracy
100.0%
Counts
3 626 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
77.0%
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1/2 binary64))
▶91.6%
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
▶76.8%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
99.3%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
✓99.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
46.7%
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (*.f64 N N) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 N N (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N (fma.f64 N N #s(literal 1 binary64)))))))
77.0%
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
46.8%
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (fma.f64 N N N) (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)))))
▶99.6%
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
99.6%
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
96.3%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (fma.f64 N N N)))
7.7%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (+.f64 #s(literal 1 binary64) N)))
93.9%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (*.f64 N N)))
▶6.1%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
99.5%
(/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
99.5%
(/.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
94.2%
(*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 #s(approx (+ N (+ N 1)) #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)))))
99.6%
(*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))))
99.1%
(*.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
▶99.5%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
99.4%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
99.4%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
76.8%
(*.f64 (atan2.f64 (+.f64 N (+.f64 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 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
98.5%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
93.9%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
46.6%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (*.f64 N N) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 N N (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N (fma.f64 N N #s(literal 1 binary64))))))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
76.8%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (*.f64 N (*.f64 N (*.f64 N N))))))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
99.3%
(*.f64 (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 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 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (-.f64 N (+.f64 N #s(literal 1 binary64))) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))
99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
91.9%
(exp.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
Compiler

Compiled 1 777 to 705 computations (60.3% saved)

simplify181.0ms (2%)

Memory
4.7MiB live, 196.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
cost-diff0
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
cost-diff0
(exp.f64 #s(literal -1 binary64))
cost-diff0
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
cost-diff0
(+.f64 N #s(literal 1 binary64))
cost-diff0
(+.f64 N (+.f64 N #s(literal 1 binary64)))
cost-diff0
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
cost-diff15872
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
cost-diff0
(fma.f64 N (*.f64 N N) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N)
cost-diff0
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
cost-diff320
(fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64))
cost-diff0
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
Rules
7 756×lower-fma.f32
7 746×lower-fma.f64
2 440×lower-*.f32
2 434×lower-*.f64
1 070×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034292
062254
1104252
2180246
3315246
4559246
5823246
61518246
72579246
83746246
94611246
105339246
116657246
127523246
08131243
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
N
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))
(*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N)
(fma.f64 N (*.f64 N N) #s(literal 1 binary64))
N
(*.f64 N N)
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(-.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(fma.f64 N N #s(literal 1 binary64))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 N (+.f64 N #s(literal 1 binary64)))
N
(+.f64 N #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(exp.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
N
Outputs
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(atan2.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
N
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))
(fma.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64))
(*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N)
(fma.f64 N (*.f64 N (*.f64 N N)) N)
(fma.f64 N (*.f64 N N) #s(literal 1 binary64))
N
(*.f64 N N)
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(-.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(fma.f64 N N (-.f64 #s(literal 1 binary64) N))
(fma.f64 N N #s(literal 1 binary64))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 N (+.f64 N #s(literal 1 binary64)))
(+.f64 N (+.f64 #s(literal 1 binary64) N))
N
(+.f64 N #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) N)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(fma.f64 N N (+.f64 N #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(exp.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
N

localize149.0ms (1.6%)

Memory
-18.1MiB live, 223.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 #s(literal -1 binary64))
accuracy0.0078125
(log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
accuracy0.2578125
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
accuracy5.39270313618181
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
accuracy0.00390625
(+.f64 N (+.f64 N #s(literal 1 binary64)))
accuracy0.2578125
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
accuracy0.31640625
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
accuracy0.34669877930532605
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
accuracy0.24609375
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))
accuracy0.2578125
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
accuracy0.2734375
(fma.f64 N (*.f64 N N) #s(literal 1 binary64))
accuracy14.730436131502893
(fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))
accuracy0.2578125
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
accuracy60.07003382675598
#s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64))
accuracy0
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
accuracy0.25390625
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
accuracy0.2578125
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
accuracy0.3046875
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
Samples
81.0ms256×0valid
Compiler

Compiled 324 to 33 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-sub: 16.0ms (24.9% of total)
ival-atan2: 11.0ms (17.1% of total)
ival-add: 9.0ms (14% of total)
ival-mult: 8.0ms (12.4% of total)
ival-div: 7.0ms (10.9% of total)
ival-pow: 5.0ms (7.8% of total)
ival-exp: 3.0ms (4.7% of total)
ival-log: 3.0ms (4.7% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series116.0ms (1.3%)

Memory
12.4MiB live, 208.1MiB allocated
Counts
22 → 252
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())
#s(alt (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (patch (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (patch (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) #<representation binary64>) () ())
#s(alt (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64))) (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)) (patch #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))) (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) (patch (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) #<representation binary64>) () ())
#s(alt (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (patch (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (patch (*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #<representation binary64>) () ())
#s(alt (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())
#s(alt (+.f64 N (+.f64 N #s(literal 1 binary64))) (patch (+.f64 N (+.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 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))) (patch (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))) #<representation binary64>) () ())
#s(alt (exp.f64 #s(literal -1 binary64)) (patch (exp.f64 #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (patch (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #<representation binary64>) () ())
#s(alt (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #<representation binary64>) () ())
#s(alt (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())
#s(alt (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* N (+ 1 N))) (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* N (+ 1 N))) (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (pow N 2) (taylor inf N) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (/ 1 N))) (taylor inf N) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2))))) (taylor inf N) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2))))) (taylor inf N) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (pow N 2) (taylor -inf N) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (/ 1 N))) (taylor -inf N) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2))))) (taylor -inf N) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2))))) (taylor -inf N) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (patch (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (patch (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (patch (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (patch (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor inf N) (#s(alt (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (patch (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor inf N) (#s(alt (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (patch (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor inf N) (#s(alt (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (patch (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor inf N) (#s(alt (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (patch (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (taylor -inf N) (#s(alt (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (patch (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (taylor -inf N) (#s(alt (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (patch (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (taylor -inf N) (#s(alt (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (patch (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (taylor -inf N) (#s(alt (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (patch (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 N)) (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* N (- (pow N 2) 1))) (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* N (- (* (pow N 2) (+ 1 (* -1 N))) 1))) (taylor 0 N) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow N 2)) (taylor inf N) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ 1 N)) (pow N 2)) (taylor inf N) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 N)) (pow N 2)) (taylor inf N) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 (pow N 3))) (+ (/ 1 N) (/ 1 (pow N 4)))) (pow N 2)) (taylor inf N) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow N 2)) (taylor -inf N) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ 1 N)) (pow N 2)) (taylor -inf N) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow N 2))) N))) (pow N 2)) (taylor -inf N) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 (pow N 2))) N))) (pow N 2)) (taylor -inf N) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 N) (#s(alt (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (patch (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (patch (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* N (+ 1 N))) (taylor 0 N) (#s(alt (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (patch (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* N (+ 1 N))) (taylor 0 N) (#s(alt (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (patch (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) #<representation binary64>) () ())) ())
#s(alt (pow N 2) (taylor inf N) (#s(alt (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (patch (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) #<representation binary64>) () ())) ())
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#s(alt (/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (taylor -inf N) (#s(alt (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (patch (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
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#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor inf N) (#s(alt (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (taylor -inf N) (#s(alt (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor inf N) (#s(alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor inf N) (#s(alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor inf N) (#s(alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor inf N) (#s(alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (taylor -inf N) (#s(alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (taylor -inf N) (#s(alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (taylor -inf N) (#s(alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (taylor -inf N) (#s(alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
Calls

63 calls:

TimeVariablePointExpression
60.0ms
N
@0
(pow (exp -1) (neg (log (atan2 1 (+ 1 (+ (* N N) N))))))
19.0ms
N
@-inf
(pow (exp -1) (neg (log (atan2 1 (+ 1 (+ (* N N) N))))))
17.0ms
N
@inf
(pow (exp -1) (neg (log (atan2 1 (+ 1 (+ (* N N) N))))))
7.0ms
N
@-inf
(neg (log (atan2 1 (+ 1 (+ (* N N) N)))))
0.0ms
N
@inf
(+ (* (* (+ (* N (* N N)) 1) N) (/ 1 (- (+ (* N N) 1) N))) 1)

simplify251.0ms (2.7%)

Memory
31.6MiB live, 456.2MiB allocated
Algorithm
1×egg-herbie
Rules
16 352×lower-fma.f64
16 352×lower-fma.f32
3 942×lower-*.f64
3 942×lower-*.f32
2 352×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01212299
13332215
26982208
328122200
083091988
Stop Event
1×iter limit
1×node limit
Counts
252 → 249
Calls
Call 1
Inputs
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 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 (+ 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 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
1
(+ 1 (* -1 N))
(+ 1 (* N (- (pow N 2) 1)))
(+ 1 (* N (- (* (pow N 2) (+ 1 (* -1 N))) 1)))
(/ 1 (pow N 2))
(/ (- 1 (/ 1 N)) (pow N 2))
(/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 N)) (pow N 2))
(/ (- (+ 1 (/ 1 (pow N 3))) (+ (/ 1 N) (/ 1 (pow N 4)))) (pow N 2))
(/ 1 (pow N 2))
(/ (- 1 (/ 1 N)) (pow N 2))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow N 2))) N))) (pow N 2))
(/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 (pow N 2))) N))) (pow N 2))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 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 (+ 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 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 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)))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 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 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 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 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) 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))))))
N
(* N (+ 1 (pow N 3)))
(* N (+ 1 (pow N 3)))
(* N (+ 1 (pow N 3)))
(pow N 4)
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(pow N 4)
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
1
(+ 1 (pow N 3))
(+ 1 (pow N 3))
(+ 1 (pow N 3))
(pow N 3)
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(pow N 3)
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(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 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -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))))
(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 (* -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)))
1
(+ 1 (* 2 N))
(+ 1 (* 2 N))
(+ 1 (* 2 N))
(* 2 N)
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(* 2 N)
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
(* N (+ 2 (/ 1 N)))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 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))))
(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 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(* -1 (log (atan2 1 (+ 1 (+ N (pow N 2))))))
(* -1 (log (atan2 1 (+ 1 (+ N (pow N 2))))))
(* -1 (log (atan2 1 (+ 1 (+ N (pow N 2))))))
(* -1 (log (atan2 1 (+ 1 (+ N (pow N 2))))))
(* -1 (log (atan2 1 (+ 1 (+ N (pow N 2))))))
(* -1 (log (atan2 1 (+ 1 (+ N (pow N 2))))))
(* -1 (log (atan2 1 (+ 1 (+ N (pow N 2))))))
(* -1 (log (atan2 1 (+ 1 (+ N (pow N 2))))))
(* -1 (log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
(* -1 (log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
(* -1 (log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
(* -1 (log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
(log (atan2 1 (+ 1 (+ N (pow N 2)))))
(log (atan2 1 (+ 1 (+ N (pow N 2)))))
(log (atan2 1 (+ 1 (+ N (pow N 2)))))
(log (atan2 1 (+ 1 (+ N (pow N 2)))))
(log (atan2 1 (+ 1 (+ N (pow N 2)))))
(log (atan2 1 (+ 1 (+ N (pow N 2)))))
(log (atan2 1 (+ 1 (+ N (pow N 2)))))
(log (atan2 1 (+ 1 (+ N (pow N 2)))))
(log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
1
(+ 1 N)
(+ 1 (* N (+ 1 (* -1 (pow N 2)))))
(+ 1 (* N (+ 1 (* (pow N 2) (- (* -1 N) 1)))))
(/ 1 (pow N 2))
(/ (+ 1 (/ 1 N)) (pow N 2))
(/ (- (+ 1 (/ 1 N)) (/ 1 (pow N 3))) (pow N 2))
(/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 N)) (pow N 3))) (/ 1 N))) (pow N 2))
(/ 1 (pow N 2))
(/ (+ 1 (/ 1 N)) (pow N 2))
(/ (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 1) N))) (pow N 2))
(/ (+ 1 (* -1 (/ (- (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))) 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 (* 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 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/ (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 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 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow 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 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
Outputs
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 (* N (+ 1 N)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+ 1 (* N (+ 1 N)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(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)))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(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)))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
1
#s(literal 1 binary64)
(+ 1 (* -1 N))
(-.f64 #s(literal 1 binary64) N)
(+ 1 (* N (- (pow N 2) 1)))
(fma.f64 N (fma.f64 N N #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* N (- (* (pow N 2) (+ 1 (* -1 N))) 1)))
(*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N))
(/ 1 (pow N 2))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
(/ (- 1 (/ 1 N)) (pow N 2))
(*.f64 (-.f64 #s(literal 1 binary64) N) (/.f64 #s(literal -1 binary64) (*.f64 N (*.f64 N N))))
(/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 N)) (pow N 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64)) N)) (*.f64 N N))
(/ (- (+ 1 (/ 1 (pow N 3))) (+ (/ 1 N) (/ 1 (pow N 4)))) (pow N 2))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (/.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 N N)) (*.f64 N N))) (*.f64 N N))
(/ 1 (pow N 2))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
(/ (- 1 (/ 1 N)) (pow N 2))
(*.f64 (-.f64 #s(literal 1 binary64) N) (/.f64 #s(literal -1 binary64) (*.f64 N (*.f64 N N))))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow N 2))) N))) (pow N 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal -1 binary64)) N)) (*.f64 N N))
(/ (+ 1 (* -1 (/ (- (+ 1 (/ 1 (pow N 3))) (/ 1 (pow N 2))) N))) (pow N 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) N) (/.f64 #s(literal -1 binary64) (*.f64 N (*.f64 N N))) #s(literal -1 binary64)) N)) (*.f64 N N))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 (* N (+ 1 N)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+ 1 (* N (+ 1 N)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(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)))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(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)))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 (* N (+ 1 N)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+ 1 (* N (+ 1 N)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(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)))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(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)))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 (* N (+ 1 N)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+ 1 (* N (+ 1 N)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(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)))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(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)))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N 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 N (/.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N 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 N (/.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N 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 N (/.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N 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 N (/.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
N
(* N (+ 1 (pow N 3)))
(fma.f64 N (*.f64 N (*.f64 N N)) N)
(* N (+ 1 (pow N 3)))
(fma.f64 N (*.f64 N (*.f64 N N)) N)
(* N (+ 1 (pow N 3)))
(fma.f64 N (*.f64 N (*.f64 N N)) N)
(pow N 4)
(*.f64 N (*.f64 N (*.f64 N N)))
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(fma.f64 N (*.f64 N (*.f64 N N)) N)
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(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))

rewrite268.0ms (2.9%)

Memory
-19.4MiB live, 547.2MiB allocated
Rules
5 164×lower-/.f32
5 156×lower-/.f64
4 688×lower-*.f32
4 682×lower-*.f64
3 030×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034239
062205
1234202
21725178
08221174
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 1 048
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
#s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N)
(fma.f64 N (*.f64 N N) #s(literal 1 binary64))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 N (+.f64 N #s(literal 1 binary64)))
(+.f64 N #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(exp.f64 #s(literal -1 binary64))
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
Outputs
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(+.f64 (fma.f64 N N N) #s(literal 1 binary64))
(+.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N))
(+.f64 (*.f64 N N) (*.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(+.f64 (*.f64 N N) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)))
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(+.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))
(+.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 1 binary64)) N)
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)) (*.f64 N N))
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) (*.f64 N N))
(+.f64 (*.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64))) N)
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (+.f64 (fma.f64 N N N) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 N (*.f64 N (*.f64 N N))) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (+.f64 (fma.f64 N N N) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N N) #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 N (*.f64 N (*.f64 N N))) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 N (*.f64 N (*.f64 N N))) (*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(-.f64 (/.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (/.f64 (*.f64 N N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))) (/.f64 (*.f64 N (*.f64 N (*.f64 N N))) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N))))
(fma.f64 #s(literal 1 binary64) N (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 N N N) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) (+.f64 #s(literal 1 binary64) N))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) (*.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)))
(fma.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64)) N)
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N) (*.f64 N N))
(fma.f64 N #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64)))
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
(fma.f64 N N (*.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(fma.f64 N N (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)))
(fma.f64 N (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64))
(fma.f64 (fma.f64 N N N) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 N N) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (*.f64 N N) #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(fma.f64 (*.f64 N N) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)))
(fma.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (*.f64 N N))
(fma.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (/.f64 N (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 N N) (*.f64 N N) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))
(fma.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 1 binary64) N)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (fma.f64 (*.f64 N N) (*.f64 N N) N) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (/.f64 (fma.f64 (*.f64 N N) (*.f64 N N) N) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64) (*.f64 N N))
(fma.f64 (+.f64 #s(literal 1 binary64) N) N #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) N) (/.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) N) (/.f64 (fma.f64 N (*.f64 N N) #s(literal -1 binary64)) (fma.f64 N (*.f64 N N) #s(literal -1 binary64))) (*.f64 N N))
(fma.f64 (fma.f64 N (*.f64 N N) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)))) (/.f64 #s(literal 1 binary64) (fma.f64 N (*.f64 N (*.f64 N N)) (*.f64 N (-.f64 N (*.f64 N N))))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (*.f64 N (*.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 N N)))) N)
(fma.f64 (neg.f64 N) (neg.f64 N) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (neg.f64 N) (neg.f64 N) (*.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(fma.f64 (neg.f64 N) (neg.f64 N) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)))
(fma.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (*.f64 N N))
(fma.f64 (*.f64 (fma.f64 N N N) (-.f64 (*.f64 N N) N)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)) #s(literal 1 binary64))
(fma.f64 (fma.f64 N (*.f64 N (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) N)
(fma.f64 (/.f64 N (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 N (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (/.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 N (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (/.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) N #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (fma.f64 N (*.f64 N N) #s(literal 1 binary64))) N #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 N (fma.f64 N (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) N)) (fma.f64 N (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 N (fma.f64 N (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (+.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))) (*.f64 N (*.f64 N N)))) (/.f64 (fma.f64 (*.f64 N N) (*.f64 N N) N) (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (/.f64 (fma.f64 (*.f64 N N) (*.f64 N N) N) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 1 binary64))
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) (+.f64 #s(literal 1 binary64) N))
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) (*.f64 (+.f64 #s(literal 1 binary64) N) #s(literal 1 binary64)))
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 N N) (*.f64 N N) N) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 N N) (*.f64 N N) N) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (fma.f64 (*.f64 N N) (*.f64 N (*.f64 N (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)))))) (/.f64 (fma.f64 (*.f64 N N) (*.f64 N N) N) (fma.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)) (*.f64 N (*.f64 N (*.f64 N N))))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (fma.f64 (fma.f64 N N N) (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)))) (/.f64 (fma.f64 (*.f64 N N) (*.f64 N N) N) (fma.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)))) (/.f64 (fma.f64 (*.f64 N N) (*.f64 N N) N) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (fma.f64 N N N))))) (/.f64 (fma.f64 (*.f64 N N) (*.f64 N N) N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1 binary64))
(fma.f64 (/.f64 N (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))) (*.f64 N (*.f64 N N)))) (/.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))))) #s(literal 1 binary64))
(fma.f64 (/.f64 N (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))) (*.f64 N (*.f64 N N)))) (/.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))))) #s(literal 1 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))) (*.f64 N (*.f64 N N)))) (fma.f64 N (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))) (*.f64 N (*.f64 N N)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) N) (neg.f64 N) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (fma.f64 (*.f64 N N) (*.f64 N (*.f64 N (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) N) (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)) (*.f64 N (*.f64 N (*.f64 N N))))))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (fma.f64 (fma.f64 N N N) (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal -1 binary64)) N)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (fma.f64 N N N)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (neg.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(neg.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (neg.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #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 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))
(/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (neg.f64 (neg.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1 binary64)) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))) (neg.f64 (neg.f64 (neg.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))
(/.f64 (neg.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1 binary64))) (neg.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(pow.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (neg.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))

eval396.0ms (4.3%)

Memory
38.4MiB live, 499.2MiB allocated
Compiler

Compiled 62 486 to 3 899 computations (93.8% saved)

prune488.0ms (5.3%)

Memory
-54.2MiB live, 405.6MiB allocated
Pruning

36 alts after pruning (33 fresh and 3 done)

PrunedKeptTotal
New1 734161 750
Fresh81725
Picked325
Done011
Total1 745361 781
Accuracy
100.0%
Counts
1 781 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.0%
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
77.0%
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1/2 binary64))
▶86.4%
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))))))
99.3%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (/.f64 N (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
99.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 N N #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) N) N))
▶71.2%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64)))
99.3%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
99.3%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (+.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal 1 binary64)))
47.8%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (*.f64 N N) #s(literal -1 binary64)) (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)) #s(literal -1 binary64)))) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
✓99.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
77.0%
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (+.f64 (fma.f64 N N N) #s(literal -1 binary64))))
46.8%
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N N) (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)))))
✓99.6%
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
76.8%
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (fma.f64 N N N)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1 binary64)))))
76.9%
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (fma.f64 N N N)))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
▶99.6%
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
45.3%
(atan2.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))) (*.f64 N (*.f64 N N)))) (/.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))))))))
96.3%
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (fma.f64 N N N)))
▶7.7%
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (+.f64 #s(literal 1 binary64) N)))
93.9%
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (*.f64 N N)))
✓6.1%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
99.5%
(/.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
94.2%
(*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 #s(approx (+ N (+ N 1)) #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)))))
99.6%
(*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))))
99.1%
(*.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
94.0%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
99.4%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
99.4%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
76.8%
(*.f64 (atan2.f64 (+.f64 N (+.f64 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 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
98.5%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
46.6%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (*.f64 N N) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 N N (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N (fma.f64 N N #s(literal 1 binary64))))))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
76.8%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (*.f64 N (*.f64 N (*.f64 N N))))))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
99.3%
(*.f64 (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 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 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (-.f64 N (+.f64 N #s(literal 1 binary64))) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))
99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
91.9%
(exp.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
99.5%
#s(approx (atan2 1 (+ (* (* (+ (* N (* N N)) 1) N) (/ 1 (- (+ (* N N) 1) N))) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))))
Compiler

Compiled 1 981 to 797 computations (59.8% saved)

simplify102.0ms (1.1%)

Memory
28.7MiB live, 65.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))))
cost-diff0
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))))
cost-diff0
(exp.f64 #s(literal -1 binary64))
cost-diff0
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))))))
cost-diff0
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
cost-diff5824
(pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64))
cost-diff7104
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
cost-diff0
(fma.f64 N (*.f64 N N) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N)
cost-diff0
(fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) N)
cost-diff0
#s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (+.f64 #s(literal 1 binary64) N))
cost-diff0
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (+.f64 #s(literal 1 binary64) N)))
cost-diff0
(fma.f64 N N #s(literal 1 binary64))
cost-diff0
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
cost-diff0
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
Rules
1 708×lower-fma.f32
1 700×lower-fma.f64
766×lower-*.f32
762×lower-*.f64
444×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037261
062244
195244
2146238
3214238
4350238
5528238
6728238
7896238
81495238
91943238
102437238
112634238
122724238
132769238
142770238
02770238
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
#s(literal 1 binary64)
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(fma.f64 N N #s(literal 1 binary64))
N
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (+.f64 #s(literal 1 binary64) N)))
#s(literal 1 binary64)
#s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (+.f64 #s(literal 1 binary64) N))
(+.f64 #s(literal 1 binary64) N)
N
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64))
(*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N)
(fma.f64 N (*.f64 N N) #s(literal 1 binary64))
N
(*.f64 N N)
#s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
(pow.f64 (pow.f64 (atan2.f64 #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 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
N
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))))))
(exp.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))))
(log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))
#s(literal 1 binary64)
#s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))
(*.f64 N N)
N
Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
#s(literal 1 binary64)
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N #s(literal 1 binary64))
N
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (+.f64 #s(literal 1 binary64) N)))
#s(literal 1 binary64)
#s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (+.f64 #s(literal 1 binary64) N))
#s(approx (+ 1 (+ (* N N) N)) (+.f64 #s(literal 1 binary64) N))
(+.f64 #s(literal 1 binary64) N)
N
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (fma.f64 N (*.f64 N (*.f64 N N)) N) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64))
(fma.f64 #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (fma.f64 N (*.f64 N (*.f64 N N)) N) #s(literal 1 binary64))
(*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N)
(fma.f64 N (*.f64 N (*.f64 N N)) N)
(fma.f64 N (*.f64 N N) #s(literal 1 binary64))
N
(*.f64 N N)
#s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(fma.f64 N N N)
N
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))))))
(exp.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))))
(log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))
#s(literal 1 binary64)
#s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))
(*.f64 N N)
N

localize121.0ms (1.3%)

Memory
16.4MiB live, 91.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))))
accuracy0.2578125
(atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))
accuracy3.668769111450533
#s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))
accuracy5.39270313618181
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))))))
accuracy0
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
accuracy0.15234375
(pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64))
accuracy0.2578125
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
accuracy0.5521087890737681
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
accuracy0.2578125
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64)))
accuracy0.2734375
(fma.f64 N (*.f64 N N) #s(literal 1 binary64))
accuracy3.6604034578877718
#s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
accuracy14.730436131502893
(fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64))
accuracy0
(+.f64 #s(literal 1 binary64) N)
accuracy0.2578125
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (+.f64 #s(literal 1 binary64) N)))
accuracy59.06937482460304
#s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (+.f64 #s(literal 1 binary64) N))
accuracy0
(fma.f64 N N #s(literal 1 binary64))
accuracy0.03125
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
accuracy0.2578125
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
Samples
61.0ms256×0valid
Compiler

Compiled 241 to 33 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-add: 8.0ms (17.4% of total)
ival-div: 6.0ms (13.1% of total)
ival-mult: 6.0ms (13.1% of total)
ival-atan2: 6.0ms (13.1% of total)
ival-sqrt: 5.0ms (10.9% of total)
ival-pow: 5.0ms (10.9% of total)
ival-exp: 3.0ms (6.5% of total)
ival-log: 3.0ms (6.5% of total)
ival-pow2: 2.0ms (4.4% of total)
ival-sub: 1.0ms (2.2% of total)
ival-neg: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series35.0ms (0.4%)

Memory
-33.0MiB live, 12.7MiB allocated
Counts
21 → 240
Calls
Call 1
Inputs
#s(alt (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #<representation binary64>) () ())
#s(alt (+.f64 (fma.f64 N N #s(literal 1 binary64)) N) (patch (+.f64 (fma.f64 N N #s(literal 1 binary64)) N) #<representation binary64>) () ())
#s(alt (fma.f64 N N #s(literal 1 binary64)) (patch (fma.f64 N N #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (+.f64 #s(literal 1 binary64) N))) (patch (atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (+.f64 #s(literal 1 binary64) N))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (+.f64 #s(literal 1 binary64) N)) (patch #s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (+.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) N) (patch (+.f64 #s(literal 1 binary64) N) #<representation binary64>) () ())
#s(alt (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64))) (patch (atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) (patch (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) #<representation binary64>) () ())
#s(alt (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (patch (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64)) (patch (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (patch (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) #<representation binary64>) () ())
#s(alt (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))))) (patch (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))))) #<representation binary64>) () ())
#s(alt (exp.f64 #s(literal -1 binary64)) (patch (exp.f64 #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))))) (patch (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))))) #<representation binary64>) () ())
#s(alt (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))) (patch (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (patch #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)) (patch #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)) #<representation binary64>) () ())
#s(alt (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))) (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))) #<representation binary64>) () ())
Outputs
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (log (atan2 1 (+ 1 (+ N (pow N 2)))))) (taylor inf N) (#s(alt (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))))) (patch (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (atan2 1 (+ 1 (+ N (pow N 2)))))) (taylor inf N) (#s(alt (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))))) (patch (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))) (taylor -inf N) (#s(alt (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))))) (patch (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))) (taylor -inf N) (#s(alt (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))))) (patch (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))) (taylor -inf N) (#s(alt (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))))) (patch (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))))) #<representation binary64>) () ())) ())
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#s(alt (log (atan2 1 (+ 1 (+ N (pow N 2))))) (taylor 0 N) (#s(alt (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))) (patch (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))) #<representation binary64>) () ())) ())
#s(alt (log (atan2 1 (+ 1 (+ N (pow N 2))))) (taylor 0 N) (#s(alt (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))) (patch (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))) #<representation binary64>) () ())) ())
#s(alt (log (atan2 1 (+ 1 (+ N (pow N 2))))) (taylor 0 N) (#s(alt (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))) (patch (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))) #<representation binary64>) () ())) ())
#s(alt (log (atan2 1 (+ 1 (+ N (pow N 2))))) (taylor inf N) (#s(alt (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))) (patch (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))) #<representation binary64>) () ())) ())
#s(alt (log (atan2 1 (+ 1 (+ N (pow N 2))))) (taylor inf N) (#s(alt (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))) (patch (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))) #<representation binary64>) () ())) ())
#s(alt (log (atan2 1 (+ 1 (+ N (pow N 2))))) (taylor inf N) (#s(alt (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))) (patch (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))) #<representation binary64>) () ())) ())
#s(alt (log (atan2 1 (+ 1 (+ N (pow N 2))))) (taylor inf N) (#s(alt (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))) (patch (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))) #<representation binary64>) () ())) ())
#s(alt (log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))) (taylor -inf N) (#s(alt (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))) (patch (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))) #<representation binary64>) () ())) ())
#s(alt (log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))) (taylor -inf N) (#s(alt (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))) (patch (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))) #<representation binary64>) () ())) ())
#s(alt (log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))) (taylor -inf N) (#s(alt (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))) (patch (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))) #<representation binary64>) () ())) ())
#s(alt (log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))) (taylor -inf N) (#s(alt (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))) (patch (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 N) (#s(alt #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (patch #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (patch #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* N (+ 1 (* -1 (pow N 2))))) (taylor 0 N) (#s(alt #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (patch #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* N (+ 1 (* (pow N 2) (- (* -1 N) 1))))) (taylor 0 N) (#s(alt #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (patch #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow N 2)) (taylor inf N) (#s(alt #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (patch #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ 1 N)) (pow N 2)) (taylor inf N) (#s(alt #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (patch #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 N)) (/ 1 (pow N 3))) (pow N 2)) (taylor inf N) (#s(alt #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (patch #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 N)) (pow N 3))) (/ 1 N))) (pow N 2)) (taylor inf N) (#s(alt #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (patch #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow N 2)) (taylor -inf N) (#s(alt #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (patch #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ 1 N)) (pow N 2)) (taylor -inf N) (#s(alt #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (patch #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 1) N))) (pow N 2)) (taylor -inf N) (#s(alt #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) (patch #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #<representation binary64>) () ())) ())
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#s(alt 1 (taylor 0 N) (#s(alt #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)) (patch #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)) (patch #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* N (+ 1 N))) (taylor 0 N) (#s(alt #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)) (patch #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* N (+ 1 N))) (taylor 0 N) (#s(alt #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)) (patch #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)) #<representation binary64>) () ())) ())
#s(alt (pow N 2) (taylor inf N) (#s(alt #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)) (patch #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (/ 1 N))) (taylor inf N) (#s(alt #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)) (patch #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)) #<representation binary64>) () ())) ())
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#s(alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2))))) (taylor inf N) (#s(alt #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)) (patch #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)) #<representation binary64>) () ())) ())
#s(alt (pow N 2) (taylor -inf N) (#s(alt #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)) (patch #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (/ 1 N))) (taylor -inf N) (#s(alt #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)) (patch #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2))))) (taylor -inf N) (#s(alt #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)) (patch #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2))))) (taylor -inf N) (#s(alt #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)) (patch #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))) (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))) (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))) (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor 0 N) (#s(alt (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))) (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor inf N) (#s(alt (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))) (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))) #<representation binary64>) () ())) ())
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#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor inf N) (#s(alt (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))) (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor inf N) (#s(alt (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))) (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (taylor -inf N) (#s(alt (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))) (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (taylor -inf N) (#s(alt (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))) (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (taylor -inf N) (#s(alt (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))) (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (taylor -inf N) (#s(alt (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))) (patch (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))) #<representation binary64>) () ())) ())
Calls

60 calls:

TimeVariablePointExpression
25.0ms
N
@-inf
(pow (atan2 1 (+ 1 (+ (* N N) N))) 1/2)
1.0ms
N
@0
(pow (atan2 1 (+ 1 (+ (* N N) N))) 1/2)
0.0ms
N
@inf
(pow (atan2 1 (+ 1 (+ (* N N) N))) 1/2)
0.0ms
N
@inf
(+ (* N N) 1)
0.0ms
N
@0
(atan2 1 (+ (+ (* N N) 1) N))

simplify277.0ms (3%)

Memory
5.7MiB live, 174.0MiB allocated
Algorithm
1×egg-herbie
Rules
17 424×lower-fma.f64
17 424×lower-fma.f32
3 560×lower-*.f64
3 560×lower-*.f32
2 038×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0861928
12381840
24791838
320151832
470871832
082271661
Stop Event
1×iter limit
1×node limit
Counts
240 → 237
Calls
Call 1
Inputs
(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 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 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)))))
1
(+ 1 (pow N 2))
(+ 1 (pow N 2))
(+ 1 (pow N 2))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(* (pow N 2) (+ 1 (/ 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 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 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)))))
1
(+ 1 N)
(+ 1 N)
(+ 1 N)
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
N
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(* N (+ 1 (/ 1 N)))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 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 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) 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))))))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 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)))))
N
(* N (+ 1 (pow N 3)))
(* N (+ 1 (pow N 3)))
(* N (+ 1 (pow N 3)))
(pow N 4)
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(pow N 4)
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
1
(+ 1 (pow N 3))
(+ 1 (pow N 3))
(+ 1 (pow N 3))
(pow N 3)
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(pow N 3)
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(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 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(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)))))
(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)))))
(sqrt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(sqrt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(sqrt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(sqrt (atan2 1 (- (+ 1 (pow 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 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 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 (+ 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 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(* -1 (log (atan2 1 (+ 1 (+ N (pow N 2))))))
(* -1 (log (atan2 1 (+ 1 (+ N (pow N 2))))))
(* -1 (log (atan2 1 (+ 1 (+ N (pow N 2))))))
(* -1 (log (atan2 1 (+ 1 (+ N (pow N 2))))))
(* -1 (log (atan2 1 (+ 1 (+ N (pow N 2))))))
(* -1 (log (atan2 1 (+ 1 (+ N (pow N 2))))))
(* -1 (log (atan2 1 (+ 1 (+ N (pow N 2))))))
(* -1 (log (atan2 1 (+ 1 (+ N (pow N 2))))))
(* -1 (log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
(* -1 (log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
(* -1 (log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
(* -1 (log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
(log (atan2 1 (+ 1 (+ N (pow N 2)))))
(log (atan2 1 (+ 1 (+ N (pow N 2)))))
(log (atan2 1 (+ 1 (+ N (pow N 2)))))
(log (atan2 1 (+ 1 (+ N (pow N 2)))))
(log (atan2 1 (+ 1 (+ N (pow N 2)))))
(log (atan2 1 (+ 1 (+ N (pow N 2)))))
(log (atan2 1 (+ 1 (+ N (pow N 2)))))
(log (atan2 1 (+ 1 (+ N (pow N 2)))))
(log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
1
(+ 1 N)
(+ 1 (* N (+ 1 (* -1 (pow N 2)))))
(+ 1 (* N (+ 1 (* (pow N 2) (- (* -1 N) 1)))))
(/ 1 (pow N 2))
(/ (+ 1 (/ 1 N)) (pow N 2))
(/ (- (+ 1 (/ 1 N)) (/ 1 (pow N 3))) (pow N 2))
(/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 N)) (pow N 3))) (/ 1 N))) (pow N 2))
(/ 1 (pow N 2))
(/ (+ 1 (/ 1 N)) (pow N 2))
(/ (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 1) N))) (pow N 2))
(/ (+ 1 (* -1 (/ (- (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))) 1) N))) (pow N 2))
1
(+ 1 N)
(+ 1 (* N (+ 1 N)))
(+ 1 (* N (+ 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 (+ 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 (+ 1 (+ N (pow N 2))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
Outputs
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 (* N (+ 1 N)))
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
(+ 1 (* N (+ 1 N)))
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
(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 N N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
(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 N N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
1
#s(literal 1 binary64)
(+ 1 (pow N 2))
(fma.f64 N N #s(literal 1 binary64))
(+ 1 (pow N 2))
(fma.f64 N N #s(literal 1 binary64))
(+ 1 (pow N 2))
(fma.f64 N N #s(literal 1 binary64))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(fma.f64 N N #s(literal 1 binary64))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(fma.f64 N N #s(literal 1 binary64))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(fma.f64 N N #s(literal 1 binary64))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(fma.f64 N N #s(literal 1 binary64))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(fma.f64 N N #s(literal 1 binary64))
(* (pow N 2) (+ 1 (/ 1 (pow N 2))))
(fma.f64 N N #s(literal 1 binary64))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 (* N (+ 1 N)))
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
(+ 1 (* N (+ 1 N)))
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
(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 N N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
(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 N N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
N
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
N
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(* N (+ 1 (/ 1 N)))
(+.f64 #s(literal 1 binary64) N)
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(atan2 1 (+ 1 (/ (* N (+ 1 (pow N 3))) (- (+ 1 (pow N 2)) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
(atan2 1 (+ 1 (+ (/ N (- (+ 1 (pow N 2)) N)) (/ (pow N 4) (- (+ 1 (pow N 2)) N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (/.f64 N (fma.f64 N N (-.f64 #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 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (/.f64 N (fma.f64 N N (-.f64 #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 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (/.f64 N (fma.f64 N N (-.f64 #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 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (/.f64 N (fma.f64 N N (-.f64 #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 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (/.f64 N (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 (* N (+ 1 N)))
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
(+ 1 (* N (+ 1 N)))
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
(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 N N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
(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 N N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
N
(* N (+ 1 (pow N 3)))
(fma.f64 N (*.f64 N (*.f64 N N)) N)
(* N (+ 1 (pow N 3)))
(fma.f64 N (*.f64 N (*.f64 N N)) N)
(* N (+ 1 (pow N 3)))
(fma.f64 N (*.f64 N (*.f64 N N)) N)
(pow N 4)
(*.f64 N (*.f64 N (*.f64 N N)))
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(fma.f64 N (*.f64 N (*.f64 N N)) N)
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(fma.f64 N (*.f64 N (*.f64 N N)) N)
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(fma.f64 N (*.f64 N (*.f64 N N)) N)
(pow N 4)
(*.f64 N (*.f64 N (*.f64 N N)))
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(fma.f64 N (*.f64 N (*.f64 N N)) N)
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(fma.f64 N (*.f64 N (*.f64 N N)) N)
(* (pow N 4) (+ 1 (/ 1 (pow N 3))))
(fma.f64 N (*.f64 N (*.f64 N N)) N)
1
#s(literal 1 binary64)
(+ 1 (pow N 3))
(fma.f64 N (*.f64 N N) #s(literal 1 binary64))
(+ 1 (pow N 3))
(fma.f64 N (*.f64 N N) #s(literal 1 binary64))
(+ 1 (pow N 3))
(fma.f64 N (*.f64 N N) #s(literal 1 binary64))
(pow N 3)
(*.f64 N (*.f64 N N))
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(fma.f64 N (*.f64 N N) #s(literal 1 binary64))
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(fma.f64 N (*.f64 N N) #s(literal 1 binary64))
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(fma.f64 N (*.f64 N N) #s(literal 1 binary64))
(pow N 3)
(*.f64 N (*.f64 N N))
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(fma.f64 N (*.f64 N N) #s(literal 1 binary64))
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(fma.f64 N (*.f64 N N) #s(literal 1 binary64))
(* (pow N 3) (+ 1 (/ 1 (pow N 3))))
(fma.f64 N (*.f64 N N) #s(literal 1 binary64))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(sqrt (atan2 1 (+ 1 (+ N (pow N 2)))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(sqrt (atan2 1 (+ 1 (+ N (pow N 2)))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(sqrt (atan2 1 (+ 1 (+ N (pow N 2)))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(sqrt (atan2 1 (+ 1 (+ N (pow N 2)))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(sqrt (atan2 1 (+ 1 (+ N (pow N 2)))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(sqrt (atan2 1 (+ 1 (+ N (pow N 2)))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(sqrt (atan2 1 (+ 1 (+ N (pow N 2)))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(sqrt (atan2 1 (+ 1 (+ N (pow N 2)))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(sqrt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(sqrt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(sqrt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(sqrt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(sqrt.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 (* N (+ 1 N)))
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
(+ 1 (* N (+ 1 N)))
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
(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 N N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
(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 N N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(* -1 (log (atan2 1 (+ 1 (+ N (pow N 2))))))
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))))
(* -1 (log (atan2 1 (+ 1 (+ N (pow N 2))))))
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))))
(* -1 (log (atan2 1 (+ 1 (+ N (pow N 2))))))
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))))
(* -1 (log (atan2 1 (+ 1 (+ N (pow N 2))))))
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))))
(* -1 (log (atan2 1 (+ 1 (+ N (pow N 2))))))
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))))
(* -1 (log (atan2 1 (+ 1 (+ N (pow N 2))))))
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))))
(* -1 (log (atan2 1 (+ 1 (+ N (pow N 2))))))
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))))
(* -1 (log (atan2 1 (+ 1 (+ N (pow N 2))))))
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))))
(* -1 (log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))))
(* -1 (log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))))
(* -1 (log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))))
(* -1 (log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))))
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))))
(log (atan2 1 (+ 1 (+ N (pow N 2)))))
(log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(log (atan2 1 (+ 1 (+ N (pow N 2)))))
(log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(log (atan2 1 (+ 1 (+ N (pow N 2)))))
(log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(log (atan2 1 (+ 1 (+ N (pow N 2)))))
(log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(log (atan2 1 (+ 1 (+ N (pow N 2)))))
(log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(log (atan2 1 (+ 1 (+ N (pow N 2)))))
(log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(log (atan2 1 (+ 1 (+ N (pow N 2)))))
(log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(log (atan2 1 (+ 1 (+ N (pow N 2)))))
(log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
(log (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))))
(log.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N))))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 (* N (+ 1 (* -1 (pow N 2)))))
(fma.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N)) #s(literal 1 binary64))
(+ 1 (* N (+ 1 (* (pow N 2) (- (* -1 N) 1)))))
(*.f64 (-.f64 #s(literal -1 binary64) N) (fma.f64 N (*.f64 N N) #s(literal -1 binary64)))
(/ 1 (pow N 2))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
(/ (+ 1 (/ 1 N)) (pow N 2))
(*.f64 (+.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))
(/ (- (+ 1 (/ 1 N)) (/ 1 (pow N 3))) (pow N 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 N N))) N)) (*.f64 N N))
(/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 N)) (pow N 3))) (/ 1 N))) (pow N 2))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 N (*.f64 N N))))) (*.f64 N N))
(/ 1 (pow N 2))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
(/ (+ 1 (/ 1 N)) (pow N 2))
(*.f64 (+.f64 #s(literal 1 binary64) N) (/.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N))))
(/ (+ 1 (* -1 (/ (- (/ 1 (pow N 2)) 1) N))) (pow N 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 N N))) N)) (*.f64 N N))
(/ (+ 1 (* -1 (/ (- (+ (/ 1 (pow N 2)) (/ 1 (pow N 3))) 1) N))) (pow N 2))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 N (*.f64 N N))))) (*.f64 N N))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(+ 1 (* N (+ 1 N)))
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
(+ 1 (* N (+ 1 N)))
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
(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 N N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
(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 N N (+.f64 #s(literal 1 binary64) N))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(fma.f64 N N (+.f64 #s(literal 1 binary64) N))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (+ 1 (+ N (pow N 2))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))
(atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 #s(literal 1 binary64) N)))

rewrite294.0ms (3.2%)

Memory
-6.8MiB live, 225.1MiB allocated
Rules
4 592×lower-/.f32
4 590×lower-/.f64
4 332×lower-fma.f32
4 324×lower-fma.f64
3 926×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037233
062216
1220203
21395201
08199201
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 827
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
(fma.f64 N N #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (+.f64 #s(literal 1 binary64) N)))
#s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (+.f64 #s(literal 1 binary64) N))
(+.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64))
(*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N)
(fma.f64 N (*.f64 N N) #s(literal 1 binary64))
(pow.f64 (pow.f64 (atan2.f64 #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 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))))))
(exp.f64 #s(literal -1 binary64))
(neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))))
(log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))))
#s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
#s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))
Outputs
(exp.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fabs.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))
(sqrt.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) #s(literal 2 binary64)))
(pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))) #s(literal 4 binary64))
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))))
(*.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))) (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))) (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))) (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) #s(literal 3/4 binary64)) (sqrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (fma.f64 N N N)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 N N N)) #s(literal 1 binary64)))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))))) (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))))) (*.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))))))))
(*.f64 #s(literal -1 binary64) (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))))
(*.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))) #s(literal -1 binary64))
(log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))))
#s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))
#s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N)))

eval164.0ms (1.8%)

Memory
8.4MiB live, 277.8MiB allocated
Compiler

Compiled 29 737 to 2 471 computations (91.7% saved)

prune245.0ms (2.6%)

Memory
1.4MiB live, 403.2MiB allocated
Pruning

32 alts after pruning (26 fresh and 6 done)

PrunedKeptTotal
New1 053111 064
Fresh131528
Picked235
Done033
Total1 068321 100
Accuracy
100.0%
Counts
1 100 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.6%
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (*.f64 N (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) N)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
76.6%
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N)) (-.f64 (*.f64 N (*.f64 N (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
77.0%
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1/2 binary64))
99.0%
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))) #s(literal 2 binary64))
98.5%
(pow.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))) #s(literal 4 binary64))
✓86.4%
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))))))
93.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (*.f64 N #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) #s(literal 1 binary64)))
99.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 N N #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) N) N))
99.3%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
99.3%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (+.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal 1 binary64)))
71.2%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(approx (+ (* N (* N N)) 1) (*.f64 N (*.f64 N N))) N) #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64)))
✓99.6%
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64))))
99.5%
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 N N) (/.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)))))
46.7%
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (*.f64 (*.f64 N N) (*.f64 N (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)))) (fma.f64 N (*.f64 N (*.f64 N N)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (*.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N))))))
46.8%
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N N) (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)))))
✓99.6%
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
76.9%
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (fma.f64 N N N)))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
✓99.6%
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
76.9%
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 N (*.f64 N (*.f64 N N)) #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) N))
96.3%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N))
96.3%
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (fma.f64 N N N)))
✓7.7%
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (+.f64 #s(literal 1 binary64) N)))
93.9%
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (*.f64 N N)))
✓6.1%
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
99.6%
(*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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)))))
99.3%
(*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) #s(literal 3/4 binary64)) (sqrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))))
94.0%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
76.8%
(*.f64 (atan2.f64 (+.f64 N (+.f64 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 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
98.5%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
46.6%
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (*.f64 N N) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 N N (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N (fma.f64 N N #s(literal 1 binary64))))))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
99.3%
(*.f64 (/.f64 (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 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 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (-.f64 N (+.f64 N #s(literal 1 binary64))) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))
99.5%
#s(approx (atan2 1 (+ (* (* (+ (* N (* N N)) 1) N) (/ 1 (- (+ (* N N) 1) N))) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))))
Compiler

Compiled 2 426 to 569 computations (76.5% saved)

regimes37.0ms (0.4%)

Memory
-7.0MiB live, 78.3MiB allocated
Counts
65 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 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) N)) (+.f64 #s(literal 1 binary64) N) N))
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 N (*.f64 N (*.f64 N N)) #s(literal -1 binary64)) (fma.f64 N N #s(literal -1 binary64))) N))
#s(approx (atan2 1 (+ (* (* (+ (* N (* N N)) 1) N) (/ 1 (- (+ (* N N) 1) N))) 1)) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (/.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(approx (+ (* N (* N N)) 1) (*.f64 N (*.f64 N N))) N) #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (/.f64 N (-.f64 (fma.f64 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 (fma.f64 N N N) #s(literal -1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (*.f64 N #s(approx (/ 1 (- (+ (* N N) 1) N)) (/.f64 #s(literal 1 binary64) (*.f64 N N)))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 N (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (+.f64 #s(literal 1 binary64) N)) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 N N) (/.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)))))
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (fma.f64 N N N)))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (+.f64 (fma.f64 N N N) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 N N N) (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (fma.f64 N N N) (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (*.f64 N N) #s(literal -1 binary64)) (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)) #s(literal -1 binary64)))) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (*.f64 (*.f64 N N) (*.f64 N (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)))) (fma.f64 N (*.f64 N (*.f64 N N)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (*.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N))))))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(pow.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))) #s(literal 2 binary64))
(atan2.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64)))) (*.f64 N (*.f64 N N)))) (/.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (fma.f64 N (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))))))))
(pow.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))) #s(literal 4 binary64))
(atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (*.f64 N N) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 N N (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N (fma.f64 N N #s(literal 1 binary64)))))))
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (fma.f64 N N N)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N (*.f64 N (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) N)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))) #s(literal 3/4 binary64)) (sqrt.f64 (sqrt.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64)))))))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1/2 binary64))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(approx (+ N (+ N 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 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 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 N N) (+.f64 #s(literal 1 binary64) N)) (-.f64 (*.f64 N (*.f64 N (*.f64 N N))) (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(/.f64 (/.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(*.f64 (atan2.f64 (+.f64 N (+.f64 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 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) #s(approx (+ 1 (+ (* N N) N)) (*.f64 N N))))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) N) (*.f64 N N)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) N) (+.f64 #s(literal 1 binary64) N)) (*.f64 N (*.f64 N (*.f64 N N))))))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 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 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1 binary64)))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (*.f64 N N) (pow.f64 (fma.f64 N N #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 N N (-.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (fma.f64 N N #s(literal 1 binary64))) (*.f64 N (fma.f64 N N #s(literal 1 binary64))))))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(*.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (pow.f64 (atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 #s(approx (+ N (+ N 1)) #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 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (atan.f64 N) (atan2.f64 (+.f64 N (+.f64 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 (atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (atan2.f64 (+.f64 N (+.f64 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 3 binary64)) (pow.f64 (atan.f64 N) #s(literal 3 binary64)))) (fma.f64 (atan.f64 N) (atan2.f64 (-.f64 N (+.f64 N #s(literal 1 binary64))) (fma.f64 N N (+.f64 N #s(literal 1 binary64)))) (pow.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) #s(literal 2 binary64))))
Outputs
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
Calls

2 calls:

19.0ms
N
15.0ms
(-.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)

regimes8.0ms (0.1%)

Memory
22.0MiB live, 22.0MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N (+.f64 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) N)) (+.f64 #s(literal 1 binary64) N) N))
Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
Calls

2 calls:

4.0ms
N
3.0ms
(-.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)

regimes7.0ms (0.1%)

Memory
-23.1MiB live, 15.4MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* N N) 1) (*.f64 N N)) N))
Outputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (fma.f64 N N N)))
Calls

2 calls:

4.0ms
N
2.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
96.3%1N
96.3%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
13.0MiB live, 13.0MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (*.f64 N N)))
Outputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N 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
93.9%1N
93.9%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
10.5MiB live, 10.5MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (/ 1 (/ 1 (+ 1 (+ (* N N) N)))) (+.f64 #s(literal 1 binary64) N)))
Outputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (+.f64 #s(literal 1 binary64) N)))
Calls

2 calls:

2.0ms
N
1.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
7.7%1N
7.7%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0%)

Memory
7.5MiB live, 7.6MiB 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 (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
Outputs
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N 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
6.1%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
6.1%1N
Compiler

Compiled 10 to 7 computations (30% saved)

simplify6.0ms (0.1%)

Memory
-25.2MiB live, 14.6MiB allocated
Algorithm
1×egg-herbie
Rules
6×+-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02371
12971
Stop Event
1×saturated
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))
Outputs
(atan2.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (fma.f64 N N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (*.f64 N N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) (+.f64 #s(literal 1 binary64) N)))
(atan2.f64 #s(literal 1 binary64) #s(approx (+ (* N N) (+ N 1)) #s(literal 1 binary64)))

soundness667.0ms (7.2%)

Memory
-2.3MiB live, 442.1MiB allocated
Rules
10 708×lower-fma.f64
10 708×lower-fma.f32
4 808×lower-/.f32
4 800×lower-/.f64
4 550×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0592684
11412652
22342652
37242652
432332652
561912652
081212335
026315
050207
1180206
21238204
08207197
0616
01016
14416
228416
3288516
0835316
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 213 to 100 computations (53.1% saved)

preprocess100.0ms (1.1%)

Memory
5.3MiB live, 122.1MiB allocated
Compiler

Compiled 144 to 68 computations (52.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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