2atan (example 3.5)

Time bar (total: 11.2s)

analyze2.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%8.1%91.9%0%0%0%0
0%0%8.1%91.9%0%0%0%1
50%4.1%4.1%91.9%0%0%0%2
75%6.1%2%91.9%0%0%0%3
87.5%7.1%1%91.9%0%0%0%4
93.8%7.6%0.5%91.9%0%0%0%5
96.9%7.9%0.3%91.9%0%0%0%6
98.4%8%0.1%91.9%0%0%0%7
99.2%8%0.1%91.9%0%0%0%8
99.6%8.1%0%91.9%0%0%0%9
99.8%8.1%0%91.9%0%0%0%10
99.9%8.1%0%91.9%0%0%0%11
100%8.1%0%91.9%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.9s (16.9%)

Memory
-90.5MiB live, 2 212.9MiB allocated
Samples
1.4s7 461×1valid
67.0ms384×2valid
29.0ms411×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-atan: 354.0ms (29.7% of total)
ival-add: 325.0ms (27.3% of total)
adjust: 187.0ms (15.7% of total)
const: 123.0ms (10.3% of total)
ival-sub: 114.0ms (9.6% of total)
ival->: 37.0ms (3.1% of total)
ival-<: 19.0ms (1.6% of total)
ival-and: 17.0ms (1.4% of total)
exact: 10.0ms (0.8% of total)
ival-assert: 5.0ms (0.4% of total)
Bogosity

preprocess21.0ms (0.2%)

Memory
26.8MiB live, 26.8MiB allocated
Algorithm
egg-herbie
Rules
80×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
74×sub-neg
48×*-lowering-*.f32
48×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
12524
25123
39023
414523
521423
626823
729923
834223
935723
1036523
067
1117
2157
3217
4297
5447
6767
71017
81437
91587
101667
01667
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(- (atan (+ N 1)) (atan N))
Outputs
(- (atan (+ N 1)) (atan N))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Call 2
Inputs
(- (atan (+ N 1)) (atan N))
(- (atan (+ (neg N) 1)) (atan (neg N)))
(neg (- (atan (+ (neg N) 1)) (atan (neg N))))
Outputs
(- (atan (+ N 1)) (atan N))
(- (atan (+ (neg N) 1)) (atan (neg N)))
(- (atan (- 1 N)) (atan (neg N)))
(neg (- (atan (+ (neg N) 1)) (atan (neg N))))
(- (atan (neg N)) (atan (- 1 N)))

explain111.0ms (1%)

Memory
-19.0MiB live, 140.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2540-0-(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
00-0-N
00-0-(+.f64 N #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-(atan.f64 N)
00-0-(atan.f64 (+.f64 N #s(literal 1 binary64)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))cancellation2541
Confusion
Predicted +Predicted -
+2540
-02
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25400
-011
Precision?
0.996078431372549
Recall?
1.0
Freqs
test
numberfreq
02
1254
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
57.0ms470×1valid
2.0ms14×2valid
2.0ms28×0valid
Compiler

Compiled 56 to 28 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-atan: 20.0ms (46.7% of total)
adjust: 10.0ms (23.3% of total)
ival-add: 7.0ms (16.3% of total)
ival-sub: 5.0ms (11.7% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.1%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify8.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
11118
21518
32118
42918
54418
67618
710118
814318
915818
1016618
016618
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (atan (+ N 1)) (atan N))
(atan (+ N 1))
(+ N 1)
N
1
(atan N)
Outputs
(- (atan (+ N 1)) (atan N))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
(atan (+ N 1))
(atan.f64 (+.f64 N #s(literal 1 binary64)))
(+ N 1)
(+.f64 N #s(literal 1 binary64))
N
1
#s(literal 1 binary64)
(atan N)
(atan.f64 N)

localize61.0ms (0.5%)

Memory
-34.3MiB live, 67.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 N #s(literal 1 binary64))
accuracy100.0%
(atan.f64 (+.f64 N #s(literal 1 binary64)))
accuracy100.0%
(atan.f64 N)
accuracy9.1%
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Samples
42.0ms235×1valid
1.0ms2valid
1.0ms14×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-sub: 12.0ms (33.9% of total)
ival-atan: 10.0ms (28.2% of total)
ival-add: 7.0ms (19.8% of total)
adjust: 5.0ms (14.1% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series4.0ms (0%)

Memory
5.9MiB live, 5.9MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (- (atan (+ N 1)) (atan N)) (patch (-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N)) #<representation binary64>) () ())
#s(alt (atan (+ N 1)) (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+ N 1) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (atan N) (patch (atan.f64 N) #<representation binary64>) () ())
Outputs
#s(alt (- (atan (+ 1 N)) (atan N)) (taylor 0 N) (#s(alt (- (atan (+ N 1)) (atan 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 (- (atan (+ N 1)) (atan 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 (- (atan (+ N 1)) (atan 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 (- (atan (+ N 1)) (atan 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 (- (atan (+ N 1)) (atan 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 (- (atan (+ N 1)) (atan 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 (- (atan (+ N 1)) (atan 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 (- (atan (+ N 1)) (atan 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 (- (atan (+ N 1)) (atan 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 (- (atan (+ N 1)) (atan 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 (- (atan (+ N 1)) (atan 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 (- (atan (+ N 1)) (atan 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 (+ N 1)) (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan (+ 1 N)) (taylor 0 N) (#s(alt (atan (+ N 1)) (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan (+ 1 N)) (taylor 0 N) (#s(alt (atan (+ N 1)) (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan (+ 1 N)) (taylor 0 N) (#s(alt (atan (+ N 1)) (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan (+ 1 N)) (taylor inf N) (#s(alt (atan (+ N 1)) (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan (+ 1 N)) (taylor inf N) (#s(alt (atan (+ N 1)) (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan (+ 1 N)) (taylor inf N) (#s(alt (atan (+ N 1)) (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan (+ 1 N)) (taylor inf N) (#s(alt (atan (+ N 1)) (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan (- 1 (* -1 N))) (taylor -inf N) (#s(alt (atan (+ N 1)) (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan (- 1 (* -1 N))) (taylor -inf N) (#s(alt (atan (+ N 1)) (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan (- 1 (* -1 N))) (taylor -inf N) (#s(alt (atan (+ N 1)) (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan (- 1 (* -1 N))) (taylor -inf N) (#s(alt (atan (+ N 1)) (patch (atan.f64 (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 N) (#s(alt (+ N 1) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (+ N 1) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (+ N 1) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (+ N 1) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt N (taylor inf N) (#s(alt (+ N 1) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (/ 1 N))) (taylor inf N) (#s(alt (+ N 1) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (/ 1 N))) (taylor inf N) (#s(alt (+ N 1) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (/ 1 N))) (taylor inf N) (#s(alt (+ N 1) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt N (taylor -inf N) (#s(alt (+ N 1) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (/ 1 N))) (taylor -inf N) (#s(alt (+ N 1) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (/ 1 N))) (taylor -inf N) (#s(alt (+ N 1) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 (/ 1 N))) (taylor -inf N) (#s(alt (+ N 1) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (atan N) (taylor 0 N) (#s(alt (atan N) (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt (atan N) (taylor 0 N) (#s(alt (atan N) (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt (atan N) (taylor 0 N) (#s(alt (atan N) (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt (atan N) (taylor 0 N) (#s(alt (atan N) (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt (atan N) (taylor inf N) (#s(alt (atan N) (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt (atan N) (taylor inf N) (#s(alt (atan N) (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt (atan N) (taylor inf N) (#s(alt (atan N) (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt (atan N) (taylor inf N) (#s(alt (atan N) (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt (atan N) (taylor -inf N) (#s(alt (atan N) (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt (atan N) (taylor -inf N) (#s(alt (atan N) (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt (atan N) (taylor -inf N) (#s(alt (atan N) (patch (atan.f64 N) #<representation binary64>) () ())) ())
#s(alt (atan N) (taylor -inf N) (#s(alt (atan N) (patch (atan.f64 N) #<representation binary64>) () ())) ())
Calls

12 calls:

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

rewrite294.0ms (2.6%)

Memory
19.9MiB live, 437.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 024×*-lowering-*.f32
4 024×*-lowering-*.f64
3 876×/-lowering-/.f32
3 876×/-lowering-/.f64
3 196×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
14016
228016
3288016
0833816
Stop Event
iter limit
node limit
Counts
4 → 239
Calls
Call 1
Inputs
(- (atan (+ N 1)) (atan N))
(atan (+ N 1))
(+ N 1)
(atan N)
Outputs
(+.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))))))
(exp.f64 (*.f64 (log.f64 (/.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)))
(-.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))) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(-.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))))))
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(/.f64 (neg.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (-.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)) #s(literal 1 binary64)) (*.f64 N (*.f64 N N))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) (*.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N))))) (fma.f64 (*.f64 N (/.f64 N (+.f64 N #s(literal -1 binary64)))) (*.f64 N (/.f64 N (+.f64 N #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 N (/.f64 N (+.f64 N #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 N (/.f64 N (+.f64 N #s(literal -1 binary64)))) (*.f64 N (/.f64 N (+.f64 N #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))) (fma.f64 N (/.f64 N (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))) (-.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)) #s(literal 1 binary64)) (*.f64 N (*.f64 N N))))
(/.f64 (*.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 N (-.f64 #s(literal 1 binary64) N)))) (fma.f64 N (*.f64 N N) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))) (fma.f64 N (*.f64 N (*.f64 N N)) (fma.f64 N N #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 N (*.f64 N (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))) (fma.f64 N N #s(literal 1 binary64)))
(/.f64 (-.f64 (neg.f64 (*.f64 N N)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) N))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 N N)) (+.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 N N)) (/.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (*.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 N N)) #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 N N)) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (*.f64 (*.f64 N N) (/.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) (*.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 N #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 N (*.f64 N (-.f64 #s(literal 1 binary64) N))) (*.f64 (+.f64 N #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 N #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 N N)) (+.f64 N #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) N)) (*.f64 (-.f64 #s(literal 1 binary64) N) (+.f64 N #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 N N)) (/.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) N)) (*.f64 (-.f64 #s(literal 1 binary64) N) (/.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 N N)) (-.f64 #s(literal 1 binary64) N)) (*.f64 (-.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (*.f64 N (*.f64 N (-.f64 #s(literal 1 binary64) N)))) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)))
(/.f64 (neg.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 N N) (+.f64 N #s(literal -1 binary64))) (*.f64 (+.f64 N #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (*.f64 (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))) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)) #s(literal 1 binary64)) (*.f64 N (*.f64 N N))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal -1 binary64)) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 N (*.f64 N (*.f64 N N)) (fma.f64 N N #s(literal 1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 N (*.f64 N (*.f64 N N)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (+.f64 N #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 N N) (neg.f64 N) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) (*.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)))))) (neg.f64 (fma.f64 (*.f64 N (/.f64 N (+.f64 N #s(literal -1 binary64)))) (*.f64 N (/.f64 N (+.f64 N #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (*.f64 (*.f64 N (/.f64 N (+.f64 N #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 N (/.f64 N (+.f64 N #s(literal -1 binary64)))) (*.f64 N (/.f64 N (+.f64 N #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))))) (neg.f64 (fma.f64 N (/.f64 N (+.f64 N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))) (neg.f64 (-.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)) #s(literal 1 binary64)) (*.f64 N (*.f64 N N)))))
(/.f64 (neg.f64 (*.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 N (-.f64 #s(literal 1 binary64) N))))) (neg.f64 (fma.f64 N (*.f64 N N) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))) (neg.f64 (fma.f64 N (*.f64 N (*.f64 N N)) (fma.f64 N N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 N (*.f64 N (*.f64 N N)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))) (neg.f64 (fma.f64 N N #s(literal 1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) (*.f64 N N))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(*.f64 (+.f64 N #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (+.f64 N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64)))))
(*.f64 (+.f64 N #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)))
(*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 N N) (neg.f64 N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))))
(*.f64 (neg.f64 (fma.f64 N N #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (fma.f64 N N #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (fma.f64 N (*.f64 N N) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N (*.f64 N N) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.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 (-.f64 #s(literal 1 binary64) N) (*.f64 (-.f64 #s(literal 1 binary64) N) (-.f64 #s(literal 1 binary64) N)) (*.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 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)))))
(*.f64 (/.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) (*.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N))) (+.f64 (fma.f64 N N #s(literal -1 binary64)) N))
(*.f64 (/.f64 (fma.f64 N N #s(literal -1 binary64)) (fma.f64 N (*.f64 N N) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) (-.f64 #s(literal 1 binary64) (*.f64 N (*.f64 N N)))) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(*.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 N (-.f64 #s(literal 1 binary64) N)) (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) (-.f64 (fma.f64 (*.f64 N (*.f64 N N)) (*.f64 N (*.f64 N N)) #s(literal 1 binary64)) (*.f64 N (*.f64 N N)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (fma.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 N N) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (fma.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 N (*.f64 N N)) (fma.f64 N N #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 N (*.f64 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))

simplify23.0ms (0.2%)

Memory
-4.1MiB live, 39.7MiB allocated
Algorithm
egg-herbie
Rules
192×accelerator-lowering-fma.f32
192×accelerator-lowering-fma.f64
128×*-lowering-*.f32
128×*-lowering-*.f64
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
iter limit
saturated
Counts
48 → 48
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)

eval39.0ms (0.4%)

Memory
-3.1MiB live, 109.8MiB allocated
Compiler

Compiled 9 485 to 916 computations (90.3% saved)

prune76.0ms (0.7%)

Memory
-11.5MiB live, 80.3MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New27710287
Fresh000
Picked101
Done000
Total27810288
Accuracy
99.8%
Counts
288 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
99.4%
(/.f64 (*.f64 (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 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
99.5%
(/.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)))))
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) (+.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)))))
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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.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))))))
99.4%
(*.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) (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)))))
99.4%
(*.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) (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))))))
99.2%
(*.f64 (/.f64 (*.f64 (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 (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))))
99.2%
(*.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) (+.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))))) #s(literal -1 binary64)))
99.4%
(*.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) (+.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)))))
Compiler

Compiled 742 to 258 computations (65.2% saved)

simplify474.0ms (4.2%)

Memory
7.9MiB live, 635.1MiB allocated
Algorithm
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) (+.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)))))
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) (+.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)))))
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) (+.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))))))
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-diff0
(*.f64 (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))))
cost-diff15872
(/.f64 (*.f64 (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 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
cost-diff0
(fma.f64 N 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-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-diff0
(/.f64 #s(literal 1 binary64) (atan2.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) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
Rules
8 598×accelerator-lowering-fma.f32
8 598×accelerator-lowering-fma.f64
8 328×*-lowering-*.f32
8 328×*-lowering-*.f64
5 404×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025378
157376
2124376
3299376
41486376
52789376
63112376
73360376
83471376
93482376
105649376
116169376
126263376
136831376
146880376
156916376
166952376
176990376
187030376
197072376
207116376
011199329
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1 (/ 1 (atan2 1 (+ 1 (+ (* N N) N)))))
1
(/ 1 (atan2 1 (+ 1 (+ (* N N) N))))
(atan2 1 (+ 1 (+ (* N N) N)))
(+ 1 (+ (* N N) N))
(+ (* N N) N)
N
(atan2 1 (+ 1 (+ (* N N) N)))
1
(+ 1 (+ (* N N) N))
(+ (* N N) N)
N
(/ (* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))
(* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))
(atan2 1 (+ 1 (+ (* N N) N)))
1
(+ 1 (+ (* N N) N))
(+ (* N N) N)
N
(atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))
(+ N (+ N 1))
(+ N 1)
(- 1 (+ (* N N) N))
(* (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))) (* (atan2 1 (+ 1 (+ (* N N) N))) (/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))))
(atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))
(+ N (+ N 1))
N
(+ N 1)
1
(- 1 (+ (* N N) N))
(+ (* N N) N)
(* (atan2 1 (+ 1 (+ (* N N) N))) (/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))))
(atan2 1 (+ 1 (+ (* N N) N)))
(+ 1 (+ (* N N) N))
(/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))
(* (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2)) (/ (atan2 1 (+ 1 (+ (* N N) N))) (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2))))
(+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2))
(atan N)
N
(atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))
(+ N (+ N 1))
(+ N 1)
1
(- 1 (+ (* N N) N))
(+ (* N N) N)
(pow (atan (+ N 1)) 2)
(atan (+ N 1))
2
(/ (atan2 1 (+ 1 (+ (* N N) N))) (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2)))
(atan2 1 (+ 1 (+ (* N N) N)))
(+ 1 (+ (* N N) N))
Outputs
(/ 1 (/ 1 (atan2 1 (+ 1 (+ (* N N) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
1
#s(literal 1 binary64)
(/ 1 (atan2 1 (+ 1 (+ (* 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 1 (+ 1 (+ (* N N) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+ 1 (+ (* N N) N))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+ (* N N) N)
(fma.f64 N N N)
N
(atan2 1 (+ 1 (+ (* N N) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
1
#s(literal 1 binary64)
(+ 1 (+ (* N N) N))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+ (* N N) N)
(fma.f64 N N N)
N
(/ (* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ N (+ N 1)) (- 1 (+ (* 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 1 (+ 1 (+ (* N N) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
1
#s(literal 1 binary64)
(+ 1 (+ (* N N) N))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+ (* N N) N)
(fma.f64 N N N)
N
(atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))
(atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+ N (+ N 1))
(+.f64 #s(literal 1 binary64) (+.f64 N N))
(+ N 1)
(+.f64 #s(literal 1 binary64) N)
(- 1 (+ (* N N) N))
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(* (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))) (* (atan2 1 (+ 1 (+ (* N N) N))) (/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))
(atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+ N (+ N 1))
(+.f64 #s(literal 1 binary64) (+.f64 N N))
N
(+ N 1)
(+.f64 #s(literal 1 binary64) N)
1
#s(literal 1 binary64)
(- 1 (+ (* N N) N))
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+ (* N N) N)
(fma.f64 N N N)
(* (atan2 1 (+ 1 (+ (* N N) N))) (/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* 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 1 (+ 1 (+ (* N N) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+ 1 (+ (* N N) N))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* 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))))
(* (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2)) (/ (atan2 1 (+ 1 (+ (* N N) N))) (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2))
(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 N)
(atan.f64 N)
N
(atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))
(atan2.f64 (+.f64 #s(literal 1 binary64) (+.f64 N N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+ N (+ N 1))
(+.f64 #s(literal 1 binary64) (+.f64 N N))
(+ N 1)
(+.f64 #s(literal 1 binary64) N)
1
#s(literal 1 binary64)
(- 1 (+ (* N N) N))
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+ (* N N) N)
(fma.f64 N N N)
(pow (atan (+ N 1)) 2)
(pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))
(atan (+ N 1))
(atan.f64 (+.f64 #s(literal 1 binary64) N))
2
#s(literal 2 binary64)
(/ (atan2 1 (+ 1 (+ (* N N) N))) (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2)))
(/.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 1 (+ 1 (+ (* N N) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+ 1 (+ (* N N) N))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))

localize142.0ms (1.3%)

Memory
24.5MiB live, 284.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
accuracy99.3%
(/.f64 (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))))
accuracy99.3%
(*.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 #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)))))
accuracy98.7%
(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)))
accuracy99.9%
(/.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))))
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
accuracy99.5%
(*.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) (+.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))))))
accuracy99.3%
(*.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 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
accuracy100.0%
(+.f64 N (+.f64 N #s(literal 1 binary64)))
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
accuracy99.4%
(*.f64 (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))))
accuracy99.4%
(/.f64 (*.f64 (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 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
accuracy100.0%
(fma.f64 N N N)
accuracy100.0%
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))
accuracy99.5%
(/.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)))))
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
Samples
60.0ms256×0valid
Compiler

Compiled 446 to 27 computations (93.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-add: 8.0ms (23.5% of total)
ival-mult: 8.0ms (23.5% of total)
ival-div: 7.0ms (20.6% of total)
ival-atan2: 4.0ms (11.8% of total)
ival-atan: 3.0ms (8.8% of total)
ival-pow2: 2.0ms (5.9% of total)
ival-sub: 1.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory
18.7MiB live, 55.8MiB allocated
Counts
16 → 192
Calls
Call 1
Inputs
#s(alt (/ 1 (/ 1 (atan2 1 (+ 1 (+ (* N N) N))))) (patch (/.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))))) #<representation binary64>) () ())
#s(alt (/ 1 (atan2 1 (+ 1 (+ (* N N) N)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())
#s(alt (atan2 1 (+ 1 (+ (* N N) N))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())
#s(alt (+ 1 (+ (* N N) N)) (patch (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) #<representation binary64>) () ())
#s(alt (+ (* N N) N) (patch (fma.f64 N N N) #<representation binary64>) () ())
#s(alt (/ (* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (patch (/.f64 (*.f64 (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 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())
#s(alt (* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (patch (*.f64 (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)))) #<representation binary64>) () ())
#s(alt (* (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))) (* (atan2 1 (+ 1 (+ (* N N) N))) (/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* 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) (+.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)))))) #<representation binary64>) () ())
#s(alt (* (atan2 1 (+ 1 (+ (* N N) N))) (/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))) (patch (*.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 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #<representation binary64>) () ())
#s(alt (atan2 (+ N (+ N 1)) (- 1 (+ (* 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 (+ N (+ N 1)) (patch (+.f64 N (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (* (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2)) (/ (atan2 1 (+ 1 (+ (* N N) N))) (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2)))) (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) (+.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))))) #<representation binary64>) () ())
#s(alt (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2)) (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 N) (patch (atan.f64 N) #<representation binary64>) () ())
#s(alt (/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* 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 (/ (atan2 1 (+ 1 (+ (* N N) N))) (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2))) (patch (/.f64 (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)))) #<representation binary64>) () ())
Outputs
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor 0 N) (#s(alt (/ 1 (/ 1 (atan2 1 (+ 1 (+ (* N N) N))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor 0 N) (#s(alt (/ 1 (/ 1 (atan2 1 (+ 1 (+ (* N N) N))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor 0 N) (#s(alt (/ 1 (/ 1 (atan2 1 (+ 1 (+ (* N N) N))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor 0 N) (#s(alt (/ 1 (/ 1 (atan2 1 (+ 1 (+ (* N N) N))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor inf N) (#s(alt (/ 1 (/ 1 (atan2 1 (+ 1 (+ (* N N) N))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor inf N) (#s(alt (/ 1 (/ 1 (atan2 1 (+ 1 (+ (* N N) N))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor inf N) (#s(alt (/ 1 (/ 1 (atan2 1 (+ 1 (+ (* N N) N))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor inf N) (#s(alt (/ 1 (/ 1 (atan2 1 (+ 1 (+ (* N N) N))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (taylor -inf N) (#s(alt (/ 1 (/ 1 (atan2 1 (+ 1 (+ (* N N) N))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (taylor -inf N) (#s(alt (/ 1 (/ 1 (atan2 1 (+ 1 (+ (* N N) N))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (taylor -inf N) (#s(alt (/ 1 (/ 1 (atan2 1 (+ 1 (+ (* N N) N))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (taylor -inf N) (#s(alt (/ 1 (/ 1 (atan2 1 (+ 1 (+ (* N N) N))))) (patch (/.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))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))) (taylor 0 N) (#s(alt (/ 1 (atan2 1 (+ 1 (+ (* N N) N)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))) (taylor 0 N) (#s(alt (/ 1 (atan2 1 (+ 1 (+ (* N N) N)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))) (taylor 0 N) (#s(alt (/ 1 (atan2 1 (+ 1 (+ (* N N) N)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))) (taylor 0 N) (#s(alt (/ 1 (atan2 1 (+ 1 (+ (* N N) N)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))) (taylor inf N) (#s(alt (/ 1 (atan2 1 (+ 1 (+ (* N N) N)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))) (taylor inf N) (#s(alt (/ 1 (atan2 1 (+ 1 (+ (* N N) N)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))) (taylor inf N) (#s(alt (/ 1 (atan2 1 (+ 1 (+ (* N N) N)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 1 (+ 1 (+ N (pow N 2))))) (taylor inf N) (#s(alt (/ 1 (atan2 1 (+ 1 (+ (* N N) N)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))) (taylor -inf N) (#s(alt (/ 1 (atan2 1 (+ 1 (+ (* N N) N)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))) (taylor -inf N) (#s(alt (/ 1 (atan2 1 (+ 1 (+ (* N N) N)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))) (taylor -inf N) (#s(alt (/ 1 (atan2 1 (+ 1 (+ (* N N) N)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (atan2 1 (- (+ 1 (pow N 2)) (* -1 N)))) (taylor -inf N) (#s(alt (/ 1 (atan2 1 (+ 1 (+ (* N N) N)))) (patch (/.f64 #s(literal 1 binary64) (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 1 (+ 1 (+ (* 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 1 (+ 1 (+ (* 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 1 (+ 1 (+ (* 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 1 (+ 1 (+ (* 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 1 (+ 1 (+ (* 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 1 (+ 1 (+ (* 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 1 (+ 1 (+ (* 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 1 (+ 1 (+ (* 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 1 (+ 1 (+ (* 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 1 (+ 1 (+ (* 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 1 (+ 1 (+ (* 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 1 (+ 1 (+ (* N N) N))) (patch (atan2.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 (+ 1 (+ (* 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 (+ 1 (+ (* 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 (+ 1 (+ (* 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 (+ 1 (+ (* 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 (+ 1 (+ (* N N) N)) (patch (+.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 (+ 1 (+ (* N N) N)) (patch (+.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 (+ 1 (+ (* N N) N)) (patch (+.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 (+ 1 (+ (* 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 (+ 1 (+ (* N N) N)) (patch (+.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 (+ 1 (+ (* N N) N)) (patch (+.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 (+ 1 (+ (* N N) N)) (patch (+.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 (+ 1 (+ (* N N) N)) (patch (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) #<representation binary64>) () ())) ())
#s(alt N (taylor 0 N) (#s(alt (+ (* N N) N) (patch (fma.f64 N N N) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 N)) (taylor 0 N) (#s(alt (+ (* N N) N) (patch (fma.f64 N N N) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 N)) (taylor 0 N) (#s(alt (+ (* N N) N) (patch (fma.f64 N N N) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 N)) (taylor 0 N) (#s(alt (+ (* N N) N) (patch (fma.f64 N N N) #<representation binary64>) () ())) ())
#s(alt (pow N 2) (taylor inf N) (#s(alt (+ (* N N) N) (patch (fma.f64 N N N) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (/ 1 N))) (taylor inf N) (#s(alt (+ (* N N) N) (patch (fma.f64 N N N) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (/ 1 N))) (taylor inf N) (#s(alt (+ (* N N) N) (patch (fma.f64 N N N) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (/ 1 N))) (taylor inf N) (#s(alt (+ (* N N) N) (patch (fma.f64 N N N) #<representation binary64>) () ())) ())
#s(alt (pow N 2) (taylor -inf N) (#s(alt (+ (* N N) N) (patch (fma.f64 N N N) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (/ 1 N))) (taylor -inf N) (#s(alt (+ (* N N) N) (patch (fma.f64 N N N) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (/ 1 N))) (taylor -inf N) (#s(alt (+ (* N N) N) (patch (fma.f64 N N N) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (/ 1 N))) (taylor -inf N) (#s(alt (+ (* N N) N) (patch (fma.f64 N N N) #<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 inf N) (#s(alt (/ (atan2 1 (+ 1 (+ (* N N) N))) (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2))) (patch (/.f64 (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)))) #<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 (/ (atan2 1 (+ 1 (+ (* N N) N))) (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2))) (patch (/.f64 (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)))) #<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 (/ (atan2 1 (+ 1 (+ (* N N) N))) (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2))) (patch (/.f64 (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)))) #<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 (/ (atan2 1 (+ 1 (+ (* N N) N))) (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2))) (patch (/.f64 (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)))) #<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 (/ (atan2 1 (+ 1 (+ (* N N) N))) (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2))) (patch (/.f64 (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)))) #<representation binary64>) () ())) ())
Calls

48 calls:

TimeVariablePointExpression
5.0ms
N
@0
(/ (atan2 1 (+ 1 (+ (* N N) N))) (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2)))
1.0ms
N
@0
(* (atan2 1 (+ 1 (+ (* N N) N))) (/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))))
1.0ms
N
@-inf
(/ 1 (atan2 1 (+ 1 (+ (* N N) N))))
1.0ms
N
@-inf
(/ (atan2 1 (+ 1 (+ (* N N) N))) (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2)))
1.0ms
N
@inf
(/ (atan2 1 (+ 1 (+ (* N N) N))) (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2)))

rewrite535.0ms (4.8%)

Memory
-37.0MiB live, 898.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 986×/-lowering-/.f32
4 986×/-lowering-/.f64
4 308×accelerator-lowering-fma.f32
4 308×accelerator-lowering-fma.f64
4 230×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025205
1153205
21258205
08331179
Stop Event
iter limit
node limit
Counts
16 → 1 301
Calls
Call 1
Inputs
(/ 1 (/ 1 (atan2 1 (+ 1 (+ (* N N) N)))))
(/ 1 (atan2 1 (+ 1 (+ (* N N) N))))
(atan2 1 (+ 1 (+ (* N N) N)))
(+ 1 (+ (* N N) N))
(+ (* N N) N)
(/ (* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))
(* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))
(* (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))) (* (atan2 1 (+ 1 (+ (* N N) N))) (/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))))
(* (atan2 1 (+ 1 (+ (* N N) N))) (/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))))
(atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))
(+ N (+ N 1))
(* (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2)) (/ (atan2 1 (+ 1 (+ (* N N) N))) (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2))))
(+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2))
(atan N)
(/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))
(/ (atan2 1 (+ 1 (+ (* N N) N))) (+ (* (atan N) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (pow (atan (+ N 1)) 2)))
Outputs
(+.f64 (*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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 N (+.f64 #s(literal 1 binary64) 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 N (+.f64 #s(literal 1 binary64) 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 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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 N (+.f64 #s(literal 1 binary64) 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 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N))))
(+.f64 (*.f64 (*.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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 N (+.f64 #s(literal 1 binary64) 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 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))))
(+.f64 (*.f64 (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)) (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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 N (+.f64 #s(literal 1 binary64) 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 N (+.f64 #s(literal 1 binary64) 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))))))
(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)))
(-.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 #s(literal 0 binary64) (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 0 binary64) (*.f64 (/.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 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (/.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (*.f64 (/.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 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) #s(literal 2 binary64)) (-.f64 (*.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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 N (+.f64 #s(literal 1 binary64) 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 N (+.f64 #s(literal 1 binary64) 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 N (+.f64 #s(literal 1 binary64) 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))))))
(fma.f64 (*.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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 N (+.f64 #s(literal 1 binary64) 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 N (+.f64 #s(literal 1 binary64) 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 (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 N (+.f64 #s(literal 1 binary64) 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 N (+.f64 #s(literal 1 binary64) 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 N (+.f64 #s(literal 1 binary64) 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 N (+.f64 #s(literal 1 binary64) 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 N (+.f64 #s(literal 1 binary64) 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 N (+.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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 N (+.f64 #s(literal 1 binary64) 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 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N))))
(neg.f64 (neg.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(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) (/.f64 (*.f64 (/.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 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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))) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64))))
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simplify303.0ms (2.7%)

Memory
48.4MiB live, 476.3MiB allocated
Algorithm
egg-herbie
Rules
9 906×accelerator-lowering-fma.f32
9 906×accelerator-lowering-fma.f64
3 558×*-lowering-*.f32
3 558×*-lowering-*.f64
1 634×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0542466
11252422
22132422
37232422
433232422
562892422
080892120
Stop Event
iter limit
node limit
Counts
192 → 192
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 (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)))
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 N))
(* N (+ 1 N))
(* N (+ 1 N))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(atan2 1 (+ 1 (+ N (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 (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)))
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))
N
(* N (+ 1 N))
(fma.f64 N N N)
(* N (+ 1 N))
(fma.f64 N N N)
(* N (+ 1 N))
(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)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(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)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(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)))))
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(/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/.f64 #s(literal 1 binary64) (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)))) (+ (* (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 (+ 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))))

eval849.0ms (7.6%)

Memory
26.8MiB live, 1 151.3MiB allocated
Compiler

Compiled 230 650 to 5 969 computations (97.4% saved)

prune689.0ms (6.2%)

Memory
4.0MiB live, 735.3MiB allocated
Pruning

35 alts after pruning (33 fresh and 2 done)

PrunedKeptTotal
New3 785323 817
Fresh415
Picked325
Done000
Total3 792353 827
Accuracy
100.0%
Counts
3 827 → 35
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))
80.3%
(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))
80.1%
(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)))
80.1%
(atan2.f64 #s(literal 1 binary64) (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)))
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)))
96.1%
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
80.3%
(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))))
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
80.2%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
99.4%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
99.4%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)))))
8.0%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
92.1%
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
6.5%
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
99.4%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.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 #s(literal 1 binary64) N)) (-.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))))
96.0%
(/.f64 (*.f64 (atan2.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 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
92.2%
(/.f64 (*.f64 (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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
99.4%
(/.f64 (*.f64 (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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
99.2%
(/.f64 (*.f64 (/.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.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))) (/.f64 #s(literal 1 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 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
98.9%
(/.f64 (*.f64 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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 (*.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
99.3%
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #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 N (+.f64 #s(literal 1 binary64) N)) (-.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))))
99.4%
(/.f64 (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (*.f64 (/.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 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
99.5%
(/.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)))))
99.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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)))))
99.3%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.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 (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)))))
99.3%
(*.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 N (+.f64 #s(literal 1 binary64) 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))))))
99.3%
(*.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 N (+.f64 #s(literal 1 binary64) 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 (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) 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))))))
98.6%
(*.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 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (pow.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
92.2%
(*.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) (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))))))
99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))))
99.4%
(*.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) (+.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)))))
99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
Compiler

Compiled 1 966 to 792 computations (59.7% saved)

simplify618.0ms (5.5%)

Memory
-62.5MiB live, 495.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
cost-diff320
(*.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 N (+.f64 N #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) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
cost-diff15872
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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 N (+.f64 N #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) (+.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)))))
cost-diff0
(*.f64 (fma.f64 N N N) (fma.f64 N N N))
cost-diff0
(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))))
cost-diff128
(-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64))
cost-diff1856
(/.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)))
cost-diff0
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
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
16 002×accelerator-lowering-fma.f32
16 002×accelerator-lowering-fma.f64
3 744×+-lowering-+.f64
3 744×+-lowering-+.f32
3 090×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033330
190330
2211330
3550330
41449330
53654330
08410284
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(atan2 1 (+ (+ (* N N) 1) N))
1
(+ (+ (* N N) 1) N)
(+ (* N N) 1)
N
(atan2 1 1)
1
(atan2 1 (/ (- (* (+ (* N N) N) (+ (* N N) N)) 1) (- (+ (* N N) N) 1)))
1
(/ (- (* (+ (* N N) N) (+ (* N N) N)) 1) (- (+ (* N N) N) 1))
(- (* (+ (* N N) N) (+ (* N N) N)) 1)
(* (+ (* N N) N) (+ (* N N) N))
(+ (* N N) N)
N
(- (+ (* N N) N) 1)
(* (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))) (/ (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ (* N 2) 1) (- 1 (+ (* N N) N)))))
(atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))
(+ N (+ N 1))
N
(+ N 1)
1
(- 1 (+ (* N N) N))
(+ (* N N) N)
(/ (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ (* N 2) 1) (- 1 (+ (* N N) N))))
(atan2 1 (+ 1 (+ (* N N) N)))
(+ 1 (+ (* N N) N))
(atan2 (+ (* N 2) 1) (- 1 (+ (* N N) N)))
(+ (* N 2) 1)
2
(* (/ 1 (/ 1 (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N))))) (* (atan2 1 (+ 1 (+ (* N N) N))) (/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))))
(/ 1 (/ 1 (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N)))))
1
(/ 1 (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N))))
(atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N)))
(+ N (+ 1 N))
N
(+ 1 N)
(- 1 (+ (* N N) N))
(+ (* N N) N)
(* (atan2 1 (+ 1 (+ (* N N) N))) (/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))))
(atan2 1 (+ 1 (+ (* N N) N)))
(+ 1 (+ (* N N) N))
(/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))
(atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))
(+ N (+ N 1))
(+ N 1)
Outputs
(atan2 1 (+ (+ (* N N) 1) N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
1
#s(literal 1 binary64)
(+ (+ (* N N) 1) N)
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+ (* N N) 1)
(fma.f64 N N #s(literal 1 binary64))
N
(atan2 1 1)
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(atan2 1 (/ (- (* (+ (* N N) N) (+ (* N N) N)) 1) (- (+ (* N N) N) 1)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
1
#s(literal 1 binary64)
(/ (- (* (+ (* N N) N) (+ (* N N) N)) 1) (- (+ (* N N) N) 1))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(- (* (+ (* N N) N) (+ (* N N) N)) 1)
(fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64))
(* (+ (* N N) N) (+ (* N N) N))
(*.f64 (fma.f64 N N N) (fma.f64 N N N))
(+ (* N N) N)
(fma.f64 N N N)
N
(- (+ (* N N) N) 1)
(+.f64 N (fma.f64 N N #s(literal -1 binary64)))
(* (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))) (/ (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ (* N 2) 1) (- 1 (+ (* N N) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))
(atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+ N (+ N 1))
(+.f64 N (+.f64 #s(literal 1 binary64) N))
N
(+ N 1)
(+.f64 #s(literal 1 binary64) N)
1
#s(literal 1 binary64)
(- 1 (+ (* N N) N))
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+ (* N N) N)
(fma.f64 N N N)
(/ (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ (* N 2) 1) (- 1 (+ (* 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 1 (+ 1 (+ (* N N) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+ 1 (+ (* N N) N))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(atan2 (+ (* N 2) 1) (- 1 (+ (* N N) N)))
(atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+ (* N 2) 1)
(+.f64 N (+.f64 #s(literal 1 binary64) N))
2
#s(literal 2 binary64)
(* (/ 1 (/ 1 (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N))))) (* (atan2 1 (+ 1 (+ (* N N) N))) (/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(/ 1 (/ 1 (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N)))))
(atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
1
#s(literal 1 binary64)
(/ 1 (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N)))
(atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+ N (+ 1 N))
(+.f64 N (+.f64 #s(literal 1 binary64) N))
N
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(- 1 (+ (* N N) N))
(-.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+ (* N N) N)
(fma.f64 N N N)
(* (atan2 1 (+ 1 (+ (* N N) N))) (/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* 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 1 (+ 1 (+ (* N N) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+ 1 (+ (* N N) N))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))
(atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(+ N (+ N 1))
(+.f64 N (+.f64 #s(literal 1 binary64) N))
(+ N 1)
(+.f64 #s(literal 1 binary64) N)

localize170.0ms (1.5%)

Memory
4.6MiB live, 199.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
accuracy99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
accuracy99.3%
(*.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 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
accuracy100.0%
(+.f64 N (+.f64 N #s(literal 1 binary64)))
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
accuracy99.5%
(*.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) (+.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)))))
accuracy99.4%
(/.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))))
accuracy100.0%
(-.f64 (fma.f64 N N N) #s(literal 1 binary64))
accuracy99.5%
(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))))
accuracy99.4%
(*.f64 (fma.f64 N N N) (fma.f64 N N N))
accuracy80.1%
(/.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)))
accuracy100.0%
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
accuracy100.0%
(fma.f64 N N #s(literal 1 binary64))
accuracy99.9%
(+.f64 (fma.f64 N N #s(literal 1 binary64)) N)
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N))
Samples
81.0ms256×0valid
Compiler

Compiled 384 to 35 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-mult: 31.0ms (48.7% of total)
ival-atan2: 11.0ms (17.3% of total)
ival-add: 10.0ms (15.7% of total)
ival-div: 7.0ms (11% of total)
ival-sub: 3.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
16.0MiB live, 16.0MiB allocated
Counts
19 → 216
Calls
Call 1
Inputs
#s(alt (atan2 1 (+ (+ (* N N) 1) N)) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #<representation binary64>) () ())
#s(alt (+ (+ (* N N) 1) N) (patch (+.f64 (fma.f64 N N #s(literal 1 binary64)) N) #<representation binary64>) () ())
#s(alt (+ (* N N) 1) (patch (fma.f64 N N #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (atan2 1 1) (patch (atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/ (- (* (+ (* N N) N) (+ (* N N) N)) 1) (- (+ (* N N) N) 1)) (patch (/.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))) #<representation binary64>) () ())
#s(alt (- (* (+ (* N N) N) (+ (* N N) N)) 1) (patch (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (atan2 1 (/ (- (* (+ (* N N) N) (+ (* N N) N)) 1) (- (+ (* N N) N) 1))) (patch (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)))) #<representation binary64>) () ())
#s(alt (* (+ (* N N) N) (+ (* N N) N)) (patch (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #<representation binary64>) () ())
#s(alt (* (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))) (/ (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ (* N 2) 1) (- 1 (+ (* 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) (+.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))))) #<representation binary64>) () ())
#s(alt (atan2 (+ N (+ N 1)) (- 1 (+ (* 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 (+ N (+ N 1)) (patch (+.f64 N (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+ N 1) (patch (+.f64 N #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (* (/ 1 (/ 1 (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N))))) (* (atan2 1 (+ 1 (+ (* N N) N))) (/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))) #<representation binary64>) () ())
#s(alt (/ 1 (/ 1 (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #<representation binary64>) () ())
#s(alt (* (atan2 1 (+ 1 (+ (* N N) N))) (/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))) (patch (*.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 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #<representation binary64>) () ())
#s(alt (/ 1 (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())
#s(alt (- (+ (* N N) N) 1) (patch (-.f64 (fma.f64 N N N) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/ (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ (* N 2) 1) (- 1 (+ (* N N) N)))) (patch (/.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)))) #<representation binary64>) () ())
#s(alt (atan2 1 (+ 1 (+ (* 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 (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor 0 N) (#s(alt (atan2 1 (+ (+ (* N N) 1) 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 1 (+ (+ (* N N) 1) 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 1 (+ (+ (* N N) 1) 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 1 (+ (+ (* N N) 1) 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 inf N) (#s(alt (atan2 1 (+ (+ (* N N) 1) 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 inf N) (#s(alt (atan2 1 (+ (+ (* N N) 1) 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 inf N) (#s(alt (atan2 1 (+ (+ (* N N) 1) 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 inf N) (#s(alt (atan2 1 (+ (+ (* N N) 1) 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 (pow N 2)) (* -1 N))) (taylor -inf N) (#s(alt (atan2 1 (+ (+ (* N N) 1) 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 (pow N 2)) (* -1 N))) (taylor -inf N) (#s(alt (atan2 1 (+ (+ (* N N) 1) 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 (pow N 2)) (* -1 N))) (taylor -inf N) (#s(alt (atan2 1 (+ (+ (* N N) 1) 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 (pow N 2)) (* -1 N))) (taylor -inf N) (#s(alt (atan2 1 (+ (+ (* N N) 1) N)) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) N)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 N) (#s(alt (+ (+ (* N N) 1) N) (patch (+.f64 (fma.f64 N N #s(literal 1 binary64)) N) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (+ (+ (* N N) 1) N) (patch (+.f64 (fma.f64 N N #s(literal 1 binary64)) N) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* N (+ 1 N))) (taylor 0 N) (#s(alt (+ (+ (* N N) 1) N) (patch (+.f64 (fma.f64 N N #s(literal 1 binary64)) N) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* N (+ 1 N))) (taylor 0 N) (#s(alt (+ (+ (* N N) 1) N) (patch (+.f64 (fma.f64 N N #s(literal 1 binary64)) N) #<representation binary64>) () ())) ())
#s(alt (pow N 2) (taylor inf N) (#s(alt (+ (+ (* N N) 1) N) (patch (+.f64 (fma.f64 N N #s(literal 1 binary64)) N) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (/ 1 N))) (taylor inf N) (#s(alt (+ (+ (* N N) 1) N) (patch (+.f64 (fma.f64 N N #s(literal 1 binary64)) N) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2))))) (taylor inf N) (#s(alt (+ (+ (* N N) 1) N) (patch (+.f64 (fma.f64 N N #s(literal 1 binary64)) N) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2))))) (taylor inf N) (#s(alt (+ (+ (* N N) 1) N) (patch (+.f64 (fma.f64 N N #s(literal 1 binary64)) N) #<representation binary64>) () ())) ())
#s(alt (pow N 2) (taylor -inf N) (#s(alt (+ (+ (* N N) 1) N) (patch (+.f64 (fma.f64 N N #s(literal 1 binary64)) N) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (/ 1 N))) (taylor -inf N) (#s(alt (+ (+ (* N N) 1) N) (patch (+.f64 (fma.f64 N N #s(literal 1 binary64)) N) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2))))) (taylor -inf N) (#s(alt (+ (+ (* N N) 1) N) (patch (+.f64 (fma.f64 N N #s(literal 1 binary64)) N) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2))))) (taylor -inf N) (#s(alt (+ (+ (* N N) 1) N) (patch (+.f64 (fma.f64 N N #s(literal 1 binary64)) N) #<representation binary64>) () ())) ())
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#s(alt (/ (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (taylor inf N) (#s(alt (/ (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ (* N 2) 1) (- 1 (+ (* N N) N)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#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 (/ (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ (* N 2) 1) (- 1 (+ (* N N) N)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#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 (/ (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ (* N 2) 1) (- 1 (+ (* N N) N)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#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 (/ (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ (* N 2) 1) (- 1 (+ (* N N) N)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#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 (/ (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ (* N 2) 1) (- 1 (+ (* N N) N)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (+ N (pow N 2)))) (taylor 0 N) (#s(alt (atan2 1 (+ 1 (+ (* 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 1 (+ 1 (+ (* 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 1 (+ 1 (+ (* 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 1 (+ 1 (+ (* 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 1 (+ 1 (+ (* 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 1 (+ 1 (+ (* 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 1 (+ 1 (+ (* 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 1 (+ 1 (+ (* 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 1 (+ 1 (+ (* 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 1 (+ 1 (+ (* 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 1 (+ 1 (+ (* 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 1 (+ 1 (+ (* N N) N))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())) ())
Calls

54 calls:

TimeVariablePointExpression
0.0ms
N
@inf
(- (* (+ (* N N) N) (+ (* N N) N)) 1)
0.0ms
N
@-inf
(/ (- (* (+ (* N N) N) (+ (* N N) N)) 1) (- (+ (* N N) N) 1))
0.0ms
N
@0
(/ (- (* (+ (* N N) N) (+ (* N N) N)) 1) (- (+ (* N N) N) 1))
0.0ms
N
@inf
(/ (- (* (+ (* N N) N) (+ (* N N) N)) 1) (- (+ (* N N) N) 1))
0.0ms
N
@-inf
(atan2 1 (/ (- (* (+ (* N N) N) (+ (* N N) N)) 1) (- (+ (* N N) N) 1)))

rewrite466.0ms (4.2%)

Memory
-1.8MiB live, 908.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 416×accelerator-lowering-fma.f32
6 416×accelerator-lowering-fma.f64
4 884×/-lowering-/.f32
4 884×/-lowering-/.f64
3 098×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033185
1233185
21983185
08141161
Stop Event
iter limit
node limit
Counts
19 → 1 358
Calls
Call 1
Inputs
(atan2 1 (+ (+ (* N N) 1) N))
(+ (+ (* N N) 1) N)
(+ (* N N) 1)
(atan2 1 1)
(/ (- (* (+ (* N N) N) (+ (* N N) N)) 1) (- (+ (* N N) N) 1))
(- (* (+ (* N N) N) (+ (* N N) N)) 1)
(atan2 1 (/ (- (* (+ (* N N) N) (+ (* N N) N)) 1) (- (+ (* N N) N) 1)))
(* (+ (* N N) N) (+ (* N N) N))
(* (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))) (/ (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ (* N 2) 1) (- 1 (+ (* N N) N)))))
(atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))
(+ N (+ N 1))
(+ N 1)
(* (/ 1 (/ 1 (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N))))) (* (atan2 1 (+ 1 (+ (* N N) N))) (/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))))
(/ 1 (/ 1 (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N)))))
(* (atan2 1 (+ 1 (+ (* N N) N))) (/ 1 (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))))
(/ 1 (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N))))
(- (+ (* N N) N) 1)
(/ (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ (* N 2) 1) (- 1 (+ (* N N) N))))
(atan2 1 (+ 1 (+ (* N N) N)))
Outputs
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.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 (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 N (+.f64 #s(literal 1 binary64) N)) (-.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 #s(literal 1 binary64) (*.f64 (/.f64 (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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 (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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.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)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (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) (+.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 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 (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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.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)))) (neg.f64 (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 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (*.f64 #s(literal 1 binary64) (neg.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (*.f64 #s(literal -1 binary64) (neg.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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))) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (*.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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))) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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))) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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)))) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (*.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 N (+.f64 #s(literal 1 binary64) 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))) #s(literal 1 binary64))
(/.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 (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) (+.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))) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 (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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))
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(/.f64 (neg.f64 (*.f64 (neg.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 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
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(pow.f64 (*.f64 (/.f64 (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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1 binary64))
(pow.f64 (/.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))
(*.f64 #s(literal 1 binary64) (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))) #s(literal 1 binary64))
(*.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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))) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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))) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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))) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 (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) (+.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) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.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 (*.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)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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)) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))
(*.f64 (*.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 (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))
(*.f64 (*.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 (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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))) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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))) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.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))) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (*.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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 #s(literal -1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.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))) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64)) (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.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))) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (*.f64 (neg.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)))) (/.f64 #s(literal -1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(*.f64 (*.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 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) (neg.f64 (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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))

simplify391.0ms (3.5%)

Memory
32.2MiB live, 826.4MiB allocated
Algorithm
egg-herbie
Rules
15 418×accelerator-lowering-fma.f32
15 418×accelerator-lowering-fma.f64
4 308×*-lowering-*.f32
4 308×*-lowering-*.f64
1 508×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0882164
12592140
26242100
326122100
082271836
Stop Event
iter limit
node limit
Counts
216 → 216
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))))
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
(- (pow N 2) 1)
(- (* (pow N 2) (+ 1 (* 2 N))) 1)
(- (* (pow N 2) (+ 1 (* N (+ 2 N)))) 1)
(pow N 4)
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))) (/ 1 (pow N 4))))
(pow N 4)
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 2) N))))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (pow N 2) (+ 1 (* -1 N)))))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (pow N 2) (+ 1 (* -1 N)))))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (pow N 2) (+ 1 (* -1 N)))))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (pow N 2) (+ 1 (* -1 N)))))
(pow N 2)
(* (pow N 2) (+ 1 (* 2 N)))
(* (pow N 2) (+ 1 (* N (+ 2 N))))
(* (pow N 2) (+ 1 (* N (+ 2 N))))
(pow N 4)
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(pow N 4)
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(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)))
(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)))
(/ (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))))
(/ 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))))
-1
(- N 1)
(- (* N (+ 1 N)) 1)
(- (* N (+ 1 N)) 1)
(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 (/ (- (/ 1 N) 1) N))))
(* (pow N 2) (+ 1 (* -1 (/ (- (/ 1 N) 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)))
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 (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))
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)
(- (pow N 2) 1)
(fma.f64 N N #s(literal -1 binary64))
(- (* (pow N 2) (+ 1 (* 2 N))) 1)
(fma.f64 N (fma.f64 #s(literal 2 binary64) (*.f64 N N) N) #s(literal -1 binary64))
(- (* (pow N 2) (+ 1 (* N (+ 2 N)))) 1)
(fma.f64 N (fma.f64 (*.f64 N N) (+.f64 N #s(literal 2 binary64)) N) #s(literal -1 binary64))
(pow N 4)
(*.f64 N (*.f64 N (*.f64 N N)))
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(*.f64 (+.f64 N #s(literal 2 binary64)) (*.f64 N (*.f64 N N)))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(*.f64 N (fma.f64 (*.f64 N N) (+.f64 N #s(literal 2 binary64)) N))
(* (pow N 4) (- (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))) (/ 1 (pow N 4))))
(fma.f64 N (fma.f64 (*.f64 N N) (+.f64 N #s(literal 2 binary64)) N) #s(literal -1 binary64))
(pow N 4)
(*.f64 N (*.f64 N (*.f64 N N)))
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(*.f64 (+.f64 N #s(literal 2 binary64)) (*.f64 N (*.f64 N N)))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(*.f64 N (fma.f64 (*.f64 N N) (+.f64 N #s(literal 2 binary64)) N))
(* (pow N 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (pow N 2))) N)) 2) N))))
(fma.f64 N (fma.f64 (*.f64 N N) (+.f64 N #s(literal 2 binary64)) N) #s(literal -1 binary64))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (/ (- (pow (+ N (pow N 2)) 2) 1) (- (+ N (pow N 2)) 1)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (pow N 2) (+ 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (pow N 2) (+ 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (pow N 2) (+ 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(atan2 1 (/ (- (pow (- (pow N 2) (* -1 N)) 2) 1) (- (pow N 2) (+ 1 (* -1 N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (* 2 N)))
(*.f64 N (fma.f64 #s(literal 2 binary64) (*.f64 N N) N))
(* (pow N 2) (+ 1 (* N (+ 2 N))))
(*.f64 N (fma.f64 (*.f64 N N) (+.f64 N #s(literal 2 binary64)) N))
(* (pow N 2) (+ 1 (* N (+ 2 N))))
(*.f64 N (fma.f64 (*.f64 N N) (+.f64 N #s(literal 2 binary64)) N))
(pow N 4)
(*.f64 N (*.f64 N (*.f64 N N)))
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(*.f64 (+.f64 N #s(literal 2 binary64)) (*.f64 N (*.f64 N N)))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(*.f64 N (fma.f64 (*.f64 N N) (+.f64 N #s(literal 2 binary64)) N))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(*.f64 N (fma.f64 (*.f64 N N) (+.f64 N #s(literal 2 binary64)) N))
(pow N 4)
(*.f64 N (*.f64 N (*.f64 N N)))
(* (pow N 4) (+ 1 (* 2 (/ 1 N))))
(*.f64 (+.f64 N #s(literal 2 binary64)) (*.f64 N (*.f64 N N)))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(*.f64 N (fma.f64 (*.f64 N N) (+.f64 N #s(literal 2 binary64)) N))
(* (pow N 4) (+ 1 (+ (* 2 (/ 1 N)) (/ 1 (pow N 2)))))
(*.f64 N (fma.f64 (*.f64 N N) (+.f64 N #s(literal 2 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)))
(atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))
(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 (* 2 N)) (- 1 (+ N (pow N 2))))
(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 (* 2 N)) (- 1 (+ N (pow N 2))))
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eval287.0ms (2.6%)

Memory
6.8MiB live, 640.7MiB allocated
Compiler

Compiled 74 895 to 3 705 computations (95.1% saved)

prune281.0ms (2.5%)

Memory
-42.4MiB live, 494.5MiB allocated
Pruning

36 alts after pruning (33 fresh and 3 done)

PrunedKeptTotal
New1 810121 822
Fresh72128
Picked415
Done022
Total1 821361 857
Accuracy
100.0%
Counts
1 857 → 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))
80.3%
(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))
80.2%
(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))
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)))
96.1%
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
80.2%
(atan2.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))))
80.1%
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)) (fma.f64 (*.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))))
72.9%
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)) (*.f64 N N)))
76.8%
(atan2.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 N #s(literal 2 binary64)) (*.f64 N (*.f64 N N))) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
72.5%
(atan2.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (*.f64 N (*.f64 N N))) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
96.1%
(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) N))
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
99.4%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
99.4%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)))))
8.0%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
80.1%
(atan2.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal -1 binary64))))))
92.1%
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
6.5%
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
99.4%
(/.f64 (/.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)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
99.4%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.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 #s(literal 1 binary64) N)) (-.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))))
96.0%
(/.f64 (*.f64 (atan2.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 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
92.2%
(/.f64 (*.f64 (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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
99.4%
(/.f64 (*.f64 (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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
99.3%
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #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 N (+.f64 #s(literal 1 binary64) N)) (-.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))))
99.4%
(/.f64 (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (*.f64 (/.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 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
99.5%
(/.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)))))
99.3%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
98.7%
(*.f64 (pow.f64 (pow.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.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)))))
99.3%
(*.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 N (+.f64 #s(literal 1 binary64) 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))))))
99.3%
(*.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 N (+.f64 #s(literal 1 binary64) 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 (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) 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))))))
98.6%
(*.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 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (pow.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
92.2%
(*.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) (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))))))
92.2%
(*.f64 (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 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
98.4%
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (*.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 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.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 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
Compiler

Compiled 1 804 to 777 computations (56.9% saved)

simplify679.0ms (6.1%)

Memory
34.9MiB live, 667.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
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-diff0
(/.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))))
cost-diff16960
(/.f64 (/.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)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N 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-diff0
(*.f64 (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))))
cost-diff0
(/.f64 (*.f64 (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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 N N #s(literal -1 binary64)) N))))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)))))
cost-diff512
(/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 N N #s(literal -1 binary64)) N))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)))
cost-diff0
(+.f64 #s(literal 1 binary64) N)
cost-diff0
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
cost-diff0
(*.f64 (fma.f64 N N #s(literal -1 binary64)) N)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))
cost-diff0
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
cost-diff1216
(/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))
Rules
20 360×accelerator-lowering-fma.f32
20 360×accelerator-lowering-fma.f64
3 612×*-lowering-*.f32
3 612×*-lowering-*.f64
1 754×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031391
169391
2141375
3366305
41208305
55190305
08586268
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(atan2 1 (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1))))
1
(+ 1 (/ (* (+ (* N N) -1) N) (+ N -1)))
(/ (* (+ (* N N) -1) N) (+ N -1))
(* (+ (* N N) -1) N)
(+ (* N N) -1)
N
-1
(+ N -1)
(atan2 1 (+ 1 N))
1
(+ 1 N)
N
(atan2 1 (+ 1 (/ 1 (/ (+ N -1) (* (+ (* N N) -1) N)))))
1
(+ 1 (/ 1 (/ (+ N -1) (* (+ (* N N) -1) N))))
(/ 1 (/ (+ N -1) (* (+ (* N N) -1) N)))
(/ (+ N -1) (* (+ (* N N) -1) N))
(+ N -1)
N
-1
(* (+ (* N N) -1) N)
(+ (* N N) -1)
(/ (* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (atan2 1 (- 1 (+ (* N N) N))))
(* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))
(atan2 1 (+ 1 (+ (* N N) N)))
1
(+ 1 (+ (* N N) N))
(+ (* N N) N)
N
(atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))
(+ N (+ N 1))
(+ N 1)
(- 1 (+ (* N N) N))
(atan2 1 (- 1 (+ (* N N) N)))
(/ (/ (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N)))) (/ 1 (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N)))))
(/ (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N))))
(atan2 1 (+ 1 (+ (* N N) N)))
1
(+ 1 (+ (* N N) N))
(+ (* N N) N)
N
(atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N)))
(+ N (+ 1 N))
(+ 1 N)
(- 1 (+ (* N N) N))
(/ 1 (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N))))
Outputs
(atan2 1 (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
1
#s(literal 1 binary64)
(+ 1 (/ (* (+ (* N N) -1) N) (+ N -1)))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(/ (* (+ (* N N) -1) N) (+ N -1))
(fma.f64 N N N)
(* (+ (* N N) -1) N)
(*.f64 N (fma.f64 N N #s(literal -1 binary64)))
(+ (* N N) -1)
(fma.f64 N N #s(literal -1 binary64))
N
-1
#s(literal -1 binary64)
(+ N -1)
(+.f64 N #s(literal -1 binary64))
(atan2 1 (+ 1 N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
N
(atan2 1 (+ 1 (/ 1 (/ (+ N -1) (* (+ (* N N) -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 -1) (* (+ (* N N) -1) N))))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(/ 1 (/ (+ N -1) (* (+ (* N N) -1) N)))
(fma.f64 N N N)
(/ (+ N -1) (* (+ (* N N) -1) N))
(/.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+ N -1)
(+.f64 N #s(literal -1 binary64))
N
-1
#s(literal -1 binary64)
(* (+ (* N N) -1) N)
(*.f64 N (fma.f64 N N #s(literal -1 binary64)))
(+ (* N N) -1)
(fma.f64 N N #s(literal -1 binary64))
(/ (* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (atan2 1 (- 1 (+ (* N N) N))))
(/.f64 (*.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)) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))) (atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))))
(* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ N (+ N 1)) (- 1 (+ (* 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)) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ (* N N) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
1
#s(literal 1 binary64)
(+ 1 (+ (* N N) N))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+ (* N N) N)
(fma.f64 N N N)
N
(atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))
(atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))
(+ N (+ N 1))
(+.f64 N (+.f64 #s(literal 1 binary64) N))
(+ N 1)
(+.f64 #s(literal 1 binary64) N)
(- 1 (+ (* N N) N))
(fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))
(atan2 1 (- 1 (+ (* N N) N)))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))
(/ (/ (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N)))) (/ 1 (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
(/ (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ N (+ 1 N)) (- 1 (+ (* 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)) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))))
(atan2 1 (+ 1 (+ (* N N) N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
1
#s(literal 1 binary64)
(+ 1 (+ (* N N) N))
(+.f64 #s(literal 1 binary64) (fma.f64 N N N))
(+ (* N N) N)
(fma.f64 N N N)
N
(atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N)))
(atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64)))
(+ N (+ 1 N))
(+.f64 N (+.f64 #s(literal 1 binary64) N))
(+ 1 N)
(+.f64 #s(literal 1 binary64) N)
(- 1 (+ (* N N) N))
(fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))
(/ 1 (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (fma.f64 N (-.f64 #s(literal -1 binary64) N) #s(literal 1 binary64))))

localize320.0ms (2.9%)

Memory
-3.5MiB live, 270.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
accuracy99.4%
(/.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))))
accuracy99.3%
(/.f64 (/.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)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
accuracy100.0%
(+.f64 N (+.f64 N #s(literal 1 binary64)))
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
accuracy99.4%
(/.f64 (*.f64 (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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
accuracy99.4%
(*.f64 (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))))
accuracy99.6%
(*.f64 (fma.f64 N N #s(literal -1 binary64)) N)
accuracy99.6%
(/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 N N #s(literal -1 binary64)) N))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)))
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) N)
accuracy100.0%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))
accuracy99.7%
(/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))
accuracy99.6%
(*.f64 (fma.f64 N N #s(literal -1 binary64)) N)
accuracy99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
Samples
172.0ms256×0valid
Compiler

Compiled 354 to 33 computations (90.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-add: 64.0ms (53.6% of total)
ival-mult: 33.0ms (27.6% of total)
ival-atan2: 11.0ms (9.2% of total)
ival-div: 10.0ms (8.4% of total)
ival-sub: 1.0ms (0.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series46.0ms (0.4%)

Memory
-7.9MiB live, 33.8MiB allocated
Counts
18 → 216
Calls
Call 1
Inputs
#s(alt (/ (* (+ (* N N) -1) N) (+ N -1)) (patch (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (atan2 1 (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1)))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (* (+ (* N N) -1) N) (patch (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) #<representation binary64>) () ())
#s(alt (atan2 1 (+ 1 N)) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N)) #<representation binary64>) () ())
#s(alt (+ 1 N) (patch (+.f64 #s(literal 1 binary64) N) #<representation binary64>) () ())
#s(alt (/ 1 (/ (+ N -1) (* (+ (* N N) -1) N))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 N N #s(literal -1 binary64)) N))) #<representation binary64>) () ())
#s(alt (/ (+ N -1) (* (+ (* N N) -1) N)) (patch (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)) #<representation binary64>) () ())
#s(alt (atan2 1 (+ 1 (/ 1 (/ (+ N -1) (* (+ (* N N) -1) N))))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 N N #s(literal -1 binary64)) N))))) #<representation binary64>) () ())
#s(alt (+ 1 (/ 1 (/ (+ N -1) (* (+ (* N N) -1) N)))) (patch (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (fma.f64 N N #s(literal -1 binary64)) N)))) #<representation binary64>) () ())
#s(alt (/ (* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (atan2 1 (- 1 (+ (* N N) N)))) (patch (/.f64 (*.f64 (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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())
#s(alt (* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (patch (*.f64 (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)))) #<representation binary64>) () ())
#s(alt (atan2 1 (+ 1 (+ (* N N) N))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) #<representation binary64>) () ())
#s(alt (+ 1 (+ (* N N) N)) (patch (+.f64 #s(literal 1 binary64) (fma.f64 N N N)) #<representation binary64>) () ())
#s(alt (/ (/ (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N)))) (/ 1 (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N))))) (patch (/.f64 (/.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)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #<representation binary64>) () ())
#s(alt (/ (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N)))) (patch (/.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)))) #<representation binary64>) () ())
#s(alt (+ N (+ N 1)) (patch (+.f64 N (+.f64 N #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/ 1 (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N)))) (patch (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #<representation binary64>) () ())
Outputs
#s(alt N (taylor 0 N) (#s(alt (/ (* (+ (* N N) -1) N) (+ N -1)) (patch (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 N)) (taylor 0 N) (#s(alt (/ (* (+ (* N N) -1) N) (+ N -1)) (patch (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 N)) (taylor 0 N) (#s(alt (/ (* (+ (* N N) -1) N) (+ N -1)) (patch (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* N (+ 1 N)) (taylor 0 N) (#s(alt (/ (* (+ (* N N) -1) N) (+ N -1)) (patch (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow N 2) (taylor inf N) (#s(alt (/ (* (+ (* N N) -1) N) (+ N -1)) (patch (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (/ 1 N))) (taylor inf N) (#s(alt (/ (* (+ (* N N) -1) N) (+ N -1)) (patch (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (/ 1 N))) (taylor inf N) (#s(alt (/ (* (+ (* N N) -1) N) (+ N -1)) (patch (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (/ 1 N))) (taylor inf N) (#s(alt (/ (* (+ (* N N) -1) N) (+ N -1)) (patch (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow N 2) (taylor -inf N) (#s(alt (/ (* (+ (* N N) -1) N) (+ N -1)) (patch (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (/ 1 N))) (taylor -inf N) (#s(alt (/ (* (+ (* N N) -1) N) (+ N -1)) (patch (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (/ 1 N))) (taylor -inf N) (#s(alt (/ (* (+ (* N N) -1) N) (+ N -1)) (patch (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (/ 1 N))) (taylor -inf N) (#s(alt (/ (* (+ (* N N) -1) N) (+ N -1)) (patch (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1)))) (taylor 0 N) (#s(alt (atan2 1 (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1)))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1)))) (taylor 0 N) (#s(alt (atan2 1 (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1)))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1)))) (taylor 0 N) (#s(alt (atan2 1 (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1)))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1)))) (taylor 0 N) (#s(alt (atan2 1 (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1)))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1)))) (taylor inf N) (#s(alt (atan2 1 (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1)))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1)))) (taylor inf N) (#s(alt (atan2 1 (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1)))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1)))) (taylor inf N) (#s(alt (atan2 1 (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1)))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1)))) (taylor inf N) (#s(alt (atan2 1 (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1)))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N)))))) (taylor -inf N) (#s(alt (atan2 1 (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1)))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N)))))) (taylor -inf N) (#s(alt (atan2 1 (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1)))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N)))))) (taylor -inf N) (#s(alt (atan2 1 (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1)))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N)))))) (taylor -inf N) (#s(alt (atan2 1 (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1)))) (patch (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 N) (#s(alt (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 N) (taylor 0 N) (#s(alt (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* N (+ 1 N))) (taylor 0 N) (#s(alt (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* N (+ 1 N))) (taylor 0 N) (#s(alt (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow N 2) (taylor inf N) (#s(alt (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (/ 1 N))) (taylor inf N) (#s(alt (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2))))) (taylor inf N) (#s(alt (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2))))) (taylor inf N) (#s(alt (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow N 2) (taylor -inf N) (#s(alt (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (/ 1 N))) (taylor -inf N) (#s(alt (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2))))) (taylor -inf N) (#s(alt (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2))))) (taylor -inf N) (#s(alt (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 N) (taylor 0 N) (#s(alt (* (+ (* N N) -1) N) (patch (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) #<representation binary64>) () ())) ())
#s(alt (* N (- (pow N 2) 1)) (taylor 0 N) (#s(alt (* (+ (* N N) -1) N) (patch (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) #<representation binary64>) () ())) ())
#s(alt (* N (- (pow N 2) 1)) (taylor 0 N) (#s(alt (* (+ (* N N) -1) N) (patch (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) #<representation binary64>) () ())) ())
#s(alt (* N (- (pow N 2) 1)) (taylor 0 N) (#s(alt (* (+ (* N N) -1) N) (patch (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) #<representation binary64>) () ())) ())
#s(alt (pow N 3) (taylor inf N) (#s(alt (* (+ (* N N) -1) N) (patch (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) #<representation binary64>) () ())) ())
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Calls

54 calls:

TimeVariablePointExpression
32.0ms
N
@inf
(/ (* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (atan2 1 (- 1 (+ (* N N) N))))
1.0ms
N
@-inf
(/ (* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (atan2 1 (- 1 (+ (* N N) N))))
1.0ms
N
@0
(/ (* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (atan2 1 (- 1 (+ (* N N) N))))
1.0ms
N
@inf
(/ (* (+ (* N N) -1) N) (+ N -1))
0.0ms
N
@0
(/ (* (+ (* N N) -1) N) (+ N -1))

rewrite696.0ms (6.2%)

Memory
6.1MiB live, 971.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
12 032×accelerator-lowering-fma.f32
12 032×accelerator-lowering-fma.f64
5 418×/-lowering-/.f32
5 418×/-lowering-/.f64
3 840×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031270
1211190
21794190
08467166
Stop Event
iter limit
node limit
Counts
18 → 1 168
Calls
Call 1
Inputs
(/ (* (+ (* N N) -1) N) (+ N -1))
(atan2 1 (+ 1 (/ (* (+ (* N N) -1) N) (+ N -1))))
(+ 1 (/ (* (+ (* N N) -1) N) (+ N -1)))
(* (+ (* N N) -1) N)
(atan2 1 (+ 1 N))
(+ 1 N)
(/ 1 (/ (+ N -1) (* (+ (* N N) -1) N)))
(/ (+ N -1) (* (+ (* N N) -1) N))
(atan2 1 (+ 1 (/ 1 (/ (+ N -1) (* (+ (* N N) -1) N)))))
(+ 1 (/ 1 (/ (+ N -1) (* (+ (* N N) -1) N))))
(/ (* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N)))) (atan2 1 (- 1 (+ (* N N) N))))
(* (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ N (+ N 1)) (- 1 (+ (* N N) N))))
(atan2 1 (+ 1 (+ (* N N) N)))
(+ 1 (+ (* N N) N))
(/ (/ (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N)))) (/ 1 (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N)))))
(/ (atan2 1 (+ 1 (+ (* N N) N))) (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N))))
(+ N (+ N 1))
(/ 1 (atan2 (+ N (+ 1 N)) (- 1 (+ (* N N) N))))
Outputs
(+.f64 N (*.f64 N N))
(+.f64 (*.f64 N N) N)
(exp.f64 (log.f64 (fma.f64 N N N)))
(-.f64 (/.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 (*.f64 N N) N)) (/.f64 (*.f64 N N) (-.f64 (*.f64 N N) N)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) N)) (neg.f64 (fma.f64 N N N)))
(-.f64 (/.f64 (*.f64 N N) (-.f64 N (*.f64 N N))) (/.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 N (*.f64 N N))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 (*.f64 N N) N)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 N N) (-.f64 (*.f64 N N) N)) #s(literal 1 binary64)))
(fma.f64 N N N)
(fma.f64 N #s(literal 1 binary64) (*.f64 N N))
(fma.f64 (*.f64 N N) #s(literal 1 binary64) N)
(fma.f64 #s(literal 1 binary64) N (*.f64 N N))
(fma.f64 #s(literal 1 binary64) (*.f64 N N) N)
(fma.f64 (exp.f64 (log.f64 N)) (exp.f64 (log.f64 N)) N)
(neg.f64 (neg.f64 (fma.f64 N N N)))
(/.f64 N (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 N N N)))
(/.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64))) (+.f64 N #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 (fma.f64 N N (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N (*.f64 N N)))) (fma.f64 N (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal 1 binary64)) (*.f64 N (*.f64 N #s(literal -1 binary64)))) (+.f64 N #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)) #s(literal -1 binary64)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (+.f64 N #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 N (*.f64 N N)) (-.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (*.f64 N (fma.f64 N (*.f64 N N) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N (*.f64 N (*.f64 N N)) (*.f64 N (-.f64 N (*.f64 N N)))) (*.f64 #s(literal 1 binary64) (fma.f64 N (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 N N) N) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (-.f64 (*.f64 N N) N)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N)) (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal 1 binary64)) (*.f64 N (*.f64 N #s(literal -1 binary64)))) (*.f64 (fma.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 N (+.f64 N #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 N N #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64)) (/.f64 N (+.f64 N #s(literal -1 binary64))))))
(/.f64 (fma.f64 N N N) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) N))
(/.f64 (fma.f64 N (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))) (fma.f64 N (*.f64 N (*.f64 N N)) (*.f64 N (-.f64 N (*.f64 N N)))))
(/.f64 (fma.f64 N (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))) (fma.f64 N N (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N (*.f64 N N)))))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 #s(literal 1 binary64) (*.f64 N (fma.f64 N N #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 N N N) (-.f64 (*.f64 N N) N)) (-.f64 (*.f64 N N) N))
(/.f64 (*.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 N #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 N (fma.f64 N N #s(literal -1 binary64)))) (+.f64 N #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) N))
(/.f64 (*.f64 (fma.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)) #s(literal -1 binary64)) N) (*.f64 (-.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal 1 binary64)) (*.f64 N (*.f64 N #s(literal -1 binary64)))) (+.f64 N #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64)) N) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (+.f64 N #s(literal -1 binary64))))
(/.f64 (neg.f64 N) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 N (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N))))) (neg.f64 (fma.f64 N (*.f64 N (*.f64 N N)) (*.f64 N (-.f64 N (*.f64 N N))))))
(/.f64 (neg.f64 (fma.f64 N (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N))))) (neg.f64 (fma.f64 N N (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N (*.f64 N N))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 N N N) (-.f64 (*.f64 N N) N))) (neg.f64 (-.f64 (*.f64 N N) N)))
(/.f64 (neg.f64 (neg.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N) (-.f64 #s(literal 1 binary64) N))
(/.f64 (neg.f64 (fma.f64 N N N)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N))) (-.f64 N (*.f64 N N)))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 N (fma.f64 N N #s(literal -1 binary64))))))
(/.f64 (*.f64 N (fma.f64 N (*.f64 N N) #s(literal 1 binary64))) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N))) (-.f64 #s(literal 1 binary64) N))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 N (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N))))) (fma.f64 N (*.f64 N (*.f64 N N)) (*.f64 N (-.f64 N (*.f64 N N)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (-.f64 (*.f64 N N) N))) (-.f64 (*.f64 N N) N))
(/.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) (fma.f64 N N (-.f64 #s(literal 1 binary64) N)))
(/.f64 (*.f64 (fma.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 N (+.f64 N #s(literal -1 binary64)))) (-.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal 1 binary64)) (*.f64 N (*.f64 N #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64)) (/.f64 N (+.f64 N #s(literal -1 binary64)))) (fma.f64 N N #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) N))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 N (fma.f64 N N #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) N))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)) #s(literal -1 binary64)) N)) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal 1 binary64)) (*.f64 N (*.f64 N #s(literal -1 binary64)))) (+.f64 N #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64)) N)) (neg.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (+.f64 N #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 N (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))))) (neg.f64 (neg.f64 (fma.f64 N (*.f64 N (*.f64 N N)) (*.f64 N (-.f64 N (*.f64 N N)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 N N N) (-.f64 (*.f64 N N) N)))) (neg.f64 (neg.f64 (-.f64 (*.f64 N N) N))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N)) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))) (neg.f64 (-.f64 N (*.f64 N N))))
(/.f64 (neg.f64 (*.f64 N (fma.f64 N (*.f64 N N) #s(literal 1 binary64)))) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N)))) (neg.f64 (-.f64 #s(literal 1 binary64) N)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 N (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))))) (neg.f64 (fma.f64 N (*.f64 N (*.f64 N N)) (*.f64 N (-.f64 N (*.f64 N N))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N N) (-.f64 (*.f64 N N) N)))) (neg.f64 (-.f64 (*.f64 N N) N)))
(/.f64 (neg.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N)) (neg.f64 (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)) #s(literal -1 binary64)) (/.f64 N (+.f64 N #s(literal -1 binary64))))) (neg.f64 (-.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal 1 binary64)) (*.f64 N (*.f64 N #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64)) (/.f64 N (+.f64 N #s(literal -1 binary64))))) (neg.f64 (fma.f64 N N #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 (*.f64 N N) N)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 N N) (-.f64 (*.f64 N N) N)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 (*.f64 N N) N)) (/.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 (*.f64 N N) N)) (fma.f64 (/.f64 (*.f64 N N) (-.f64 (*.f64 N N) N)) (/.f64 (*.f64 N N) (-.f64 (*.f64 N N) N)) (*.f64 (/.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 (*.f64 N N) N)) (/.f64 (*.f64 N N) (-.f64 (*.f64 N N) N))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N N N)) #s(literal -1 binary64))
(pow.f64 (fma.f64 N N N) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 N N N)) (/.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 N N N) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 N (+.f64 N #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 N N N)))
(*.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)))
(*.f64 #s(literal 1 binary64) (fma.f64 N N N))
(*.f64 (fma.f64 N N N) #s(literal 1 binary64))
(*.f64 (+.f64 N #s(literal 1 binary64)) N)
(*.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (+.f64 N #s(literal -1 binary64)) (/.f64 N (+.f64 N #s(literal -1 binary64)))))
(*.f64 (+.f64 N #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))
(*.f64 (fma.f64 N (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))) (/.f64 #s(literal 1 binary64) (fma.f64 N (*.f64 N (*.f64 N N)) (*.f64 N (-.f64 N (*.f64 N N))))))
(*.f64 (fma.f64 N (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N (*.f64 N N))))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)) (*.f64 N (fma.f64 N N #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)) (*.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 N (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)) (/.f64 (*.f64 (+.f64 N #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))))
(*.f64 (*.f64 (fma.f64 N N N) (-.f64 (*.f64 N N) N)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 N N) N)))
(*.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 N (+.f64 N #s(literal -1 binary64))))
(*.f64 (/.f64 N (+.f64 N #s(literal -1 binary64))) (fma.f64 N N #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 N (fma.f64 N N #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))
(*.f64 (*.f64 (fma.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N)) #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal 1 binary64)) (*.f64 N (*.f64 N #s(literal -1 binary64)))) (+.f64 N #s(literal -1 binary64)))))
(*.f64 (*.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64)) N) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (+.f64 N #s(literal -1 binary64)))))
(*.f64 (neg.f64 (fma.f64 N (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 N (*.f64 N (*.f64 N N)) (*.f64 N (-.f64 N (*.f64 N N)))))))
(*.f64 (neg.f64 (*.f64 (fma.f64 N N N) (-.f64 (*.f64 N N) N))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 N N) N))))
(*.f64 (neg.f64 (neg.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 N N)) N) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))
(*.f64 (/.f64 #s(literal 1 binary64) N) (/.f64 (*.f64 (fma.f64 N N N) (-.f64 (*.f64 N N) N)) (+.f64 N #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (neg.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 N (fma.f64 N N #s(literal -1 binary64))))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N))) (/.f64 #s(literal 1 binary64) (-.f64 N (*.f64 N N))))
(*.f64 (pow.f64 (fma.f64 N N N) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 N N N) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)) N) (fma.f64 N N #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)) (fma.f64 N N #s(literal -1 binary64))) N)
(*.f64 (*.f64 N (fma.f64 N (*.f64 N N) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 N N (-.f64 #s(literal 1 binary64) N))))
(*.f64 (*.f64 N (-.f64 #s(literal 1 binary64) (*.f64 N N))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) N)))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 N (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 (*.f64 N N) (*.f64 N N))))) (/.f64 #s(literal 1 binary64) (fma.f64 N (*.f64 N (*.f64 N N)) (*.f64 N (-.f64 N (*.f64 N N))))))
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(*.f64 (*.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 N (+.f64 N #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 N (+.f64 N #s(literal 1 binary64)))))
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(*.f64 (neg.f64 (*.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 N (+.f64 N #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 N (+.f64 N #s(literal 1 binary64))))))
(*.f64 (fma.f64 #s(literal 8 binary64) (*.f64 N (*.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 N N) (+.f64 N N) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 N N) #s(literal 1 binary64))))))
(*.f64 (-.f64 (*.f64 (+.f64 N #s(literal 1 binary64)) (+.f64 N #s(literal 1 binary64))) (*.f64 N N)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 N #s(literal 1 binary64)) N)))
(*.f64 (-.f64 (*.f64 (+.f64 N N) (+.f64 N N)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 N N) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) #s(literal -1 binary64)))
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(/.f64 #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 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.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) (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
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(pow.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1 binary64))
(pow.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)))) #s(literal 1 binary64))
(pow.f64 (neg.f64 (neg.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))) #s(literal -1 binary64))
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(pow.f64 (exp.f64 (log.f64 (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 #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 #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 (/.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)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (atan2.f64 (+.f64 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 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 -1/2 binary64)))

simplify332.0ms (3%)

Memory
11.3MiB live, 723.0MiB allocated
Algorithm
egg-herbie
Rules
13 328×accelerator-lowering-fma.f32
13 328×accelerator-lowering-fma.f64
3 568×*-lowering-*.f32
3 568×*-lowering-*.f64
1 862×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0992483
12472420
25342359
320582149
470992149
081551904
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
N
(* N (+ 1 N))
(* N (+ 1 N))
(* N (+ 1 N))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))
(atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))
(atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))
(atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))
(atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))
(atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))
(atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))
(atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))
(atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))
(atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))
(atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))
(atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -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 N)
(* N (- (pow N 2) 1))
(* N (- (pow N 2) 1))
(* N (- (pow N 2) 1))
(pow N 3)
(* (pow N 3) (- 1 (/ 1 (pow N 2))))
(* (pow N 3) (- 1 (/ 1 (pow N 2))))
(* (pow N 3) (- 1 (/ 1 (pow N 2))))
(pow N 3)
(* -1 (* (pow N 3) (- (/ 1 (pow N 2)) 1)))
(* -1 (* (pow N 3) (- (/ 1 (pow N 2)) 1)))
(* -1 (* (pow N 3) (- (/ 1 (pow N 2)) 1)))
(atan2 1 (+ 1 N))
(atan2 1 (+ 1 N))
(atan2 1 (+ 1 N))
(atan2 1 (+ 1 N))
(atan2 1 (+ 1 N))
(atan2 1 (+ 1 N))
(atan2 1 (+ 1 N))
(atan2 1 (+ 1 N))
(atan2 1 (- 1 (* -1 N)))
(atan2 1 (- 1 (* -1 N)))
(atan2 1 (- 1 (* -1 N)))
(atan2 1 (- 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)))
N
(* N (+ 1 N))
(* N (+ 1 N))
(* N (+ 1 N))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(pow N 2)
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(* (pow N 2) (+ 1 (/ 1 N)))
(/ 1 N)
(/ (+ 1 (* -1 N)) N)
(/ (+ 1 (* N (- N 1))) N)
(/ (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))) N)
(/ 1 (pow N 2))
(/ (- 1 (/ 1 N)) (pow N 2))
(/ (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)) (pow N 2))
(/ (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))) (pow N 2))
(/ 1 (pow N 2))
(/ (- 1 (/ 1 N)) (pow N 2))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) (pow N 2))
(/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N))) (pow N 2))
(atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))
(atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))
(atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))
(atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))
(atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))
(atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))
(atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))
(atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))
(atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))
(atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))
(atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))
(atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -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 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/ (* (atan2 1 (+ 1 (+ N (pow N 2)))) (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2))))) (atan2 1 (- 1 (+ N (pow N 2)))))
(/ (* (atan2 1 (- (+ 1 (pow N 2)) (* -1 N))) (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2)))) (atan2 1 (- (+ 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 (* -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 (* -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 (* -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)))
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)))
(/ (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))))
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 (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))))
Outputs
N
(* N (+ 1 N))
(fma.f64 N N N)
(* N (+ 1 N))
(fma.f64 N N N)
(* N (+ 1 N))
(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)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(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)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (- (+ 1 (* -1 (/ (pow N 3) (+ 1 (* -1 N))))) (* -1 (/ N (+ 1 (* -1 N))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 N #s(literal 1 binary64))
(+ 1 (* N (+ 1 N)))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(+ 1 (* N (+ 1 N)))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(pow N 2)
(*.f64 N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(* (pow N 2) (+ 1 (+ (/ 1 N) (/ 1 (pow N 2)))))
(+.f64 N (fma.f64 N N #s(literal 1 binary64)))
(* -1 N)
(neg.f64 N)
(* N (- (pow N 2) 1))
(*.f64 N (fma.f64 N N #s(literal -1 binary64)))
(* N (- (pow N 2) 1))
(*.f64 N (fma.f64 N N #s(literal -1 binary64)))
(* N (- (pow N 2) 1))
(*.f64 N (fma.f64 N N #s(literal -1 binary64)))
(pow N 3)
(*.f64 N (*.f64 N N))
(* (pow N 3) (- 1 (/ 1 (pow N 2))))
(*.f64 N (fma.f64 N N #s(literal -1 binary64)))
(* (pow N 3) (- 1 (/ 1 (pow N 2))))
(*.f64 N (fma.f64 N N #s(literal -1 binary64)))
(* (pow N 3) (- 1 (/ 1 (pow N 2))))
(*.f64 N (fma.f64 N N #s(literal -1 binary64)))
(pow N 3)
(*.f64 N (*.f64 N N))
(* -1 (* (pow N 3) (- (/ 1 (pow N 2)) 1)))
(*.f64 N (fma.f64 N N #s(literal -1 binary64)))
(* -1 (* (pow N 3) (- (/ 1 (pow N 2)) 1)))
(*.f64 N (fma.f64 N N #s(literal -1 binary64)))
(* -1 (* (pow N 3) (- (/ 1 (pow N 2)) 1)))
(*.f64 N (fma.f64 N N #s(literal -1 binary64)))
(atan2 1 (+ 1 N))
(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(atan2 1 (+ 1 N))
(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(atan2 1 (+ 1 N))
(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(atan2 1 (+ 1 N))
(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(atan2 1 (+ 1 N))
(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(atan2 1 (+ 1 N))
(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(atan2 1 (+ 1 N))
(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(atan2 1 (+ 1 N))
(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(atan2 1 (- 1 (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(atan2 1 (- 1 (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(atan2 1 (- 1 (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
(atan2 1 (- 1 (* -1 N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 N)
(+.f64 N #s(literal 1 binary64))
(+ 1 N)
(+.f64 N #s(literal 1 binary64))
(+ 1 N)
(+.f64 N #s(literal 1 binary64))
N
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
N
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
(* N (+ 1 (/ 1 N)))
(+.f64 N #s(literal 1 binary64))
N
(* N (+ 1 N))
(fma.f64 N N N)
(* N (+ 1 N))
(fma.f64 N N N)
(* N (+ 1 N))
(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)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(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)))
(fma.f64 N N N)
(* (pow N 2) (+ 1 (/ 1 N)))
(fma.f64 N N N)
(/ 1 N)
(/.f64 #s(literal 1 binary64) N)
(/ (+ 1 (* -1 N)) N)
(+.f64 (/.f64 #s(literal 1 binary64) N) #s(literal -1 binary64))
(/ (+ 1 (* N (- N 1))) N)
(/.f64 (-.f64 (fma.f64 N N #s(literal 1 binary64)) N) N)
(/ (+ 1 (* N (- (* N (+ 1 (* -1 N))) 1))) N)
(/.f64 (*.f64 (fma.f64 N N #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) N)) N)
(/ 1 (pow N 2))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
(/ (- 1 (/ 1 N)) (pow N 2))
(/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 N (*.f64 N N)))
(/ (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)) (pow N 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N))) (*.f64 N N))
(/ (- (+ 1 (/ 1 (pow N 2))) (+ (/ 1 N) (/ 1 (pow N 3)))) (pow N 2))
(/.f64 (+.f64 N (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 N N)))) (*.f64 N (*.f64 N N)))
(/ 1 (pow N 2))
(/.f64 #s(literal 1 binary64) (*.f64 N N))
(/ (- 1 (/ 1 N)) (pow N 2))
(/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 N (*.f64 N N)))
(/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) (pow N 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) N) (*.f64 N N))) (*.f64 N N))
(/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 N)) N))) N))) (pow N 2))
(/.f64 (+.f64 N (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 N N)))) (*.f64 N (*.f64 N N)))
(atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (+ 1 (/ (* N (- (pow N 2) 1)) (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
(atan2 1 (- (+ 1 (/ (pow N 3) (- N 1))) (/ N (- N 1))))
(atan2.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal 1 binary64))))
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(fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 (+ 1 (* 2 N)) (- 1 (+ N (pow N 2)))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(/ 1 (atan2 (- 1 (* -2 N)) (- (+ 1 (* -1 N)) (pow N 2))))
(/.f64 #s(literal 1 binary64) (atan2.f64 (fma.f64 N #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))

eval250.0ms (2.2%)

Memory
22.1MiB live, 525.3MiB allocated
Compiler

Compiled 51 837 to 3 652 computations (93% saved)

prune201.0ms (1.8%)

Memory
2.5MiB live, 399.4MiB allocated
Pruning

38 alts after pruning (34 fresh and 4 done)

PrunedKeptTotal
New1 689161 705
Fresh101828
Picked325
Done123
Total1 703381 741
Accuracy
100.0%
Counts
1 741 → 38
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))
80.3%
(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))
80.1%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) N))
99.5%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 N (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
80.1%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 N (/.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64))) #s(literal 1 binary64)))
99.3%
(atan2.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)) (*.f64 N (fma.f64 N N #s(literal -1 binary64))) #s(literal 1 binary64)))
96.1%
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
72.9%
(atan2.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #s(literal 1 binary64)) (*.f64 N N)))
72.5%
(atan2.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (*.f64 N (*.f64 N N))) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
96.1%
(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) N))
99.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
99.1%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)) (*.f64 N #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
64.5%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64)) N) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (+.f64 N #s(literal -1 binary64))))))
99.4%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (+.f64 N #s(literal -1 binary64)) N)) (+.f64 N #s(literal -1 binary64)))))
96.0%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (*.f64 N N)) (+.f64 N #s(literal -1 binary64)))))
99.3%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 N (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))))))
99.4%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) N))))
96.0%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 N (*.f64 N N))))))
8.0%
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
92.1%
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
8.0%
(atan2.f64 #s(literal 1 binary64) N)
99.4%
(/.f64 (/.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)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
99.4%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.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 #s(literal 1 binary64) N)) (-.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))))
92.1%
(/.f64 (/.f64 #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 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))))
96.0%
(/.f64 (*.f64 (atan2.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 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
99.4%
(/.f64 (*.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)))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
99.4%
(/.f64 (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (*.f64 (/.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 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
99.5%
(/.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)))))
98.7%
(*.f64 (pow.f64 (pow.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.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)))))
92.2%
(*.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) (fma.f64 N N N))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
99.3%
(*.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 N (+.f64 #s(literal 1 binary64) 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))))))
99.3%
(*.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 N (+.f64 #s(literal 1 binary64) 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 (atan2.f64 #s(literal 1 binary64) (+.f64 (fma.f64 N N #s(literal 1 binary64)) 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))))))
98.6%
(*.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 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (pow.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
92.2%
(*.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) (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))))))
98.4%
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (*.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 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 (+.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 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
92.2%
(*.f64 (/.f64 #s(literal 1 binary64) (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 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
Compiler

Compiled 2 760 to 646 computations (76.6% saved)

regimes69.0ms (0.6%)

Memory
-31.5MiB live, 45.5MiB allocated
Counts
71 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
(atan2.f64 #s(literal 1 binary64) (+.f64 (*.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 (fma.f64 N N #s(literal 1 binary64)) N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 N (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (*.f64 N N)) (+.f64 N #s(literal -1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 N (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 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)))))
(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) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) N)) (*.f64 N (fma.f64 N N #s(literal -1 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 N #s(literal 1 binary64)) (*.f64 (+.f64 N #s(literal -1 binary64)) N)) (+.f64 N #s(literal -1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (*.f64 N (*.f64 N N))) (-.f64 (fma.f64 N 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 N N)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #s(literal -1 binary64)) (*.f64 N (*.f64 N N))))))
(atan2.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 N #s(literal 2 binary64)) (*.f64 N (*.f64 N N))) (-.f64 (fma.f64 N N N) #s(literal 1 binary64))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 N #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) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))) N))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N (*.f64 N N) #s(literal 1 binary64)) N) (-.f64 (fma.f64 N N #s(literal 1 binary64)) N))))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (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))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal -1 binary64))) N))
(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) (*.f64 (fma.f64 (fma.f64 N N N) (fma.f64 N N N) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 N (fma.f64 N N #s(literal -1 binary64))))))
(atan2.f64 #s(literal 1 binary64) (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)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64)) N) (*.f64 (fma.f64 N N #s(literal 1 binary64)) (+.f64 N #s(literal -1 binary64))))))
(atan2.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) (/.f64 (-.f64 (*.f64 (fma.f64 N N N) (fma.f64 N N N)) #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) (fma.f64 (/.f64 N (/.f64 (+.f64 N #s(literal -1 binary64)) (fma.f64 (*.f64 N N) (*.f64 N N) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 N N #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 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) (/.f64 (fma.f64 (pow.f64 N #s(literal 3/2 binary64)) (pow.f64 N #s(literal 3/2 binary64)) (*.f64 N #s(literal -1 binary64))) (+.f64 N #s(literal -1 binary64)))))
(/.f64 (*.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)))) (atan2.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(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 #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 (fma.f64 N #s(literal 2 binary64) #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) (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 #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 (*.f64 (atan2.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 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 #s(literal 1 binary64) (-.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 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) (+.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) (+.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 (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)))))
(/.f64 (*.f64 (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 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) (+.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 (atan2.f64 #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 (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 N #s(literal 1 binary64)) 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 (+.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 N (+.f64 #s(literal 1 binary64) 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 (neg.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (*.f64 (/.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 #s(literal 1 binary64) N)) (-.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 #s(literal -1 binary64) (*.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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 (/.f64 #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 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 (/.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)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (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) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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))) (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 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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 N (+.f64 N #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #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 N (+.f64 #s(literal 1 binary64) N)) (-.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) (/.f64 (/.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 #s(literal 1 binary64) N)) (-.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)))) (pow.f64 (/.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 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 #s(literal 1 binary64) (fma.f64 N N N))) (pow.f64 (pow.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.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)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (*.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 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) (*.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 (*.f64 (/.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.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))) (/.f64 #s(literal 1 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 (+.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) (+.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)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64)))) (*.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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 (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))) (/.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) (+.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 (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 (/.f64 (atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N))) (fma.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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 (*.f64 (atan2.f64 (+.f64 N (+.f64 #s(literal 1 binary64) 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 (+.f64 N (+.f64 #s(literal 1 binary64) N)) (-.f64 #s(literal 1 binary64) (fma.f64 N N N))) (atan.f64 N)) (pow.f64 (atan.f64 (+.f64 #s(literal 1 binary64) N)) #s(literal 2 binary64))))
Outputs
(/.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)))))
Calls

2 calls:

32.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
17.0ms
N
Results
AccuracySegmentsBranch
99.5%1N
99.5%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
13.8MiB live, 13.8MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
(atan2.f64 #s(literal 1 binary64) (+.f64 (*.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 (fma.f64 N N #s(literal 1 binary64)) N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 N N #s(literal -1 binary64)) (/.f64 N (+.f64 N #s(literal -1 binary64))) #s(literal 1 binary64)))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 N (*.f64 N N)) (+.f64 N #s(literal -1 binary64)))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 N (/.f64 #s(literal 1 binary64) (+.f64 N #s(literal 1 binary64))))))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 N N #s(literal -1 binary64)) N) (+.f64 N #s(literal -1 binary64)))))
Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 N N N)))
Calls

2 calls:

4.0ms
N
3.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
99.5%1N
99.5%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0%)

Memory
13.2MiB live, 13.2MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
(atan2.f64 #s(literal 1 binary64) (+.f64 (*.f64 N N) N))
Outputs
(atan2.f64 #s(literal 1 binary64) (fma.f64 N N N))
Calls

2 calls:

3.0ms
N
2.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
96.1%1N
96.1%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
Outputs
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
Calls

2 calls:

2.0ms
N
2.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
92.1%1N
92.1%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Memory
-56.5MiB live, 6.6MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
Outputs
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
Calls

2 calls:

4.0ms
N
1.0ms
(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Results
AccuracySegmentsBranch
8.0%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
8.0%1N
Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(atan2.f64 #s(literal 1 binary64) N)
Outputs
(atan2.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
8.0%1N
8.0%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory
6.8MiB live, 6.8MiB 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(literal 1 binary64))
Outputs
(atan2.f64 #s(literal 1 binary64) #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
6.5%1N
6.5%1(-.f64 (atan.f64 (+.f64 N #s(literal 1 binary64))) (atan.f64 N))
Compiler

Compiled 10 to 7 computations (30% saved)

simplify7.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB allocated
Algorithm
egg-herbie
Rules
+-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01442
11942
Stop Event
saturated
Calls
Call 1
Inputs
(/.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) (fma.f64 N N N))
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Outputs
(/.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) (fma.f64 N N N))
(atan2.f64 #s(literal 1 binary64) (*.f64 N N))
(atan2.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) N))
(atan2.f64 #s(literal 1 binary64) N)
(atan2.f64 #s(literal 1 binary64) #s(literal 1 binary64))

soundness708.0ms (6.3%)

Memory
-9.8MiB live, 345.1MiB allocated
Rules
13 328×accelerator-lowering-fma.f32
13 328×accelerator-lowering-fma.f64
9 906×accelerator-lowering-fma.f32
9 906×accelerator-lowering-fma.f64
4 024×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0542466
11252422
22132422
37232422
433232422
562892422
080892120
0616
14016
228016
3288016
0833816
0992483
12472420
25342359
320582149
470992149
081551904
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 131 to 67 computations (48.9% saved)

preprocess63.0ms (0.6%)

Memory
16.4MiB live, 55.5MiB allocated
Compiler

Compiled 142 to 64 computations (54.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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