bug329 (missed optimization)

Time bar (total: 1.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze7.0ms (0.5%)

Memory
14.7MiB live, 14.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
50%25%25%50%0%0%0%2
50%25%25%50%0%0%0%3
75%37.5%12.5%50%0%0%0%4
75%37.5%12.5%50%0%0%0%5
87.5%43.7%6.2%50%0%0%0%6
87.5%43.7%6.2%50%0%0%0%7
93.8%46.8%3.1%50%0%0%0%8
93.8%46.8%3.1%50%0%0%0%9
96.9%48.4%1.6%50%0%0%0%10
96.9%48.4%1.6%50%0%0%0%11
98.4%49.2%0.8%50%0%0%0%12
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample900.0ms (57.1%)

Memory
-8.3MiB live, 763.1MiB allocated
Samples
626.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 178.0ms
ival-atan: 71.0ms (39.9% of total)
ival-div: 69.0ms (38.8% of total)
ival->=: 27.0ms (15.2% of total)
exact: 7.0ms (3.9% of total)
ival-assert: 4.0ms (2.2% of total)
Bogosity

explain80.0ms (5.1%)

Memory
15.7MiB live, 88.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 y x)
00-0-y
00-0-(atan.f64 (/.f64 y x))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
48.0ms512×0valid
Compiler

Compiled 44 to 24 computations (45.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-atan: 29.0ms (86.1% of total)
ival-div: 4.0ms (11.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess52.0ms (3.3%)

Memory
-30.2MiB live, 15.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
12426
23626
34626
45426
56826
68826
79826
810026
044
064
064
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
Outputs
(atan.f64 (/.f64 y x))
Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(atan.f64 (/.f64 y x))
Compiler

Compiled 4 to 4 computations (0% saved)

simplify2.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y x)
cost-diff0
(atan.f64 (/.f64 y x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049
069
069
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
(/.f64 y x)
y
x
Outputs
(atan.f64 (/.f64 y x))
(/.f64 y x)
y
x

localize13.0ms (0.8%)

Memory
25.0MiB live, 25.0MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y x)
accuracy0.00390625
(atan.f64 (/.f64 y x))
Samples
9.0ms256×0valid
Compiler

Compiled 20 to 10 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (52.5% of total)
ival-atan: 1.0ms (26.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.4%)

Memory
-26.1MiB live, 8.2MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
(/.f64 y x)
Outputs
(atan (/ y x))
(/ y x)
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@0
((atan (/ y x)) (/ y x))
1.0ms
y
@inf
((atan (/ y x)) (/ y x))
1.0ms
x
@-inf
((atan (/ y x)) (/ y x))
0.0ms
y
@-inf
((atan (/ y x)) (/ y x))
0.0ms
x
@inf
((atan (/ y x)) (/ y x))

simplify2.0ms (0.1%)

Memory
3.9MiB live, 3.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
047
Stop Event
1×iter limit
1×saturated
Counts
2 → 2
Calls
Call 1
Inputs
(atan (/ y x))
(/ y x)
Outputs
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ y x)
(/.f64 y x)

rewrite54.0ms (3.5%)

Memory
16.0MiB live, 52.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
067
1147
2497
32247
012187
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
2 → 62
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
(/.f64 y x)
Outputs
(*.f64 #s(literal -1 binary64) (atan.f64 (/.f64 (neg.f64 y) x)))
(neg.f64 (atan.f64 (/.f64 (neg.f64 y) x)))
(atan.f64 (/.f64 y x))
(-.f64 #s(literal 0 binary64) (atan.f64 (/.f64 (neg.f64 y) x)))
(*.f64 (/.f64 (neg.f64 y) (neg.f64 (*.f64 x x))) x)
(*.f64 (/.f64 (neg.f64 y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) y)
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 y (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 x y))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) y)
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)) (*.f64 y y))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (*.f64 y y))) y)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x))) (/.f64 (neg.f64 y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y y))) (*.f64 x y))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 x (*.f64 y y)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y y))) (*.f64 (neg.f64 x) y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 (neg.f64 x) (*.f64 y y)))
(/.f64 (*.f64 (neg.f64 (*.f64 y y)) #s(literal -1 binary64)) (*.f64 y x))
(/.f64 (*.f64 (neg.f64 (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 y y) x))
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 y y) (neg.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) y)))
(/.f64 (neg.f64 (*.f64 y y)) (*.f64 (neg.f64 x) y))
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (*.f64 (neg.f64 x) (*.f64 y y)))
(/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
(neg.f64 (/.f64 (neg.f64 y) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64) (/.f64 y x))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (/.f64 y x))
(+.f64 #s(literal 0 binary64) (/.f64 y x))

eval7.0ms (0.4%)

Memory
14.6MiB live, 14.6MiB allocated
Compiler

Compiled 627 to 201 computations (67.9% saved)

prune1.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB allocated
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New63164
Fresh000
Picked011
Done000
Total63265
Accuracy
100.0%
Counts
65 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(atan.f64 (/.f64 y x))
▶99.2%
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)))
Compiler

Compiled 10 to 10 computations (0% saved)

simplify21.0ms (1.3%)

Memory
-30.3MiB live, 7.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 x y))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0617
0917
11317
21613
32013
43013
53013
03013
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)
(/.f64 x y)
x
y
Outputs
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)))
(atan.f64 (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 y x)
#s(literal 1 binary64)
(/.f64 x y)
x
y

localize16.0ms (1%)

Memory
32.3MiB live, 32.3MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 x y)
accuracy0.00390625
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)))
accuracy0.5728330179368001
(/.f64 #s(literal 1 binary64) (/.f64 x y))
Samples
11.0ms256×0valid
Compiler

Compiled 36 to 14 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 4.0ms (73.2% of total)
ival-atan: 1.0ms (18.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.7%)

Memory
-41.0MiB live, 5.4MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 x y)
Outputs
(/ y x)
(atan (/ y x))
(/ x y)
Calls

6 calls:

TimeVariablePointExpression
9.0ms
x
@0
((/ 1 (/ x y)) (atan (/ 1 (/ x y))) (/ x y))
1.0ms
x
@-inf
((/ 1 (/ x y)) (atan (/ 1 (/ x y))) (/ x y))
1.0ms
y
@-inf
((/ 1 (/ x y)) (atan (/ 1 (/ x y))) (/ x y))
0.0ms
y
@0
((/ 1 (/ x y)) (atan (/ 1 (/ x y))) (/ x y))
0.0ms
x
@inf
((/ 1 (/ x y)) (atan (/ 1 (/ x y))) (/ x y))

simplify2.0ms (0.1%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0510
0510
Stop Event
1×iter limit
1×saturated
Counts
3 → 3
Calls
Call 1
Inputs
(/ y x)
(atan (/ y x))
(/ x y)
Outputs
(/ y x)
(/.f64 y x)
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ x y)
(/.f64 x y)

rewrite105.0ms (6.7%)

Memory
25.4MiB live, 182.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0614
0914
12810
211110
349810
4297810
01094210
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 273
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 x y)
Outputs
(*.f64 (exp.f64 (log.f64 (neg.f64 (sqrt.f64 (/.f64 y x))))) (sqrt.f64 (/.f64 y x)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (/.f64 y x))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y))) #s(literal -1 binary64)) (sqrt.f64 (/.f64 y x)))
(*.f64 (/.f64 y (*.f64 x x)) x)
(*.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y)))) (sqrt.f64 (/.f64 y x)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (/.f64 x y))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 y x)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 3/4 binary64)) (pow.f64 (/.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (pow.f64 (/.f64 y x) #s(literal 1/4 binary64))) (pow.f64 (/.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (sqrt.f64 y)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 (/.f64 y x) y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal -1/2 binary64)) (sqrt.f64 y))
(*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (/.f64 y x)))
(*.f64 (*.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 y x)))) (sqrt.f64 (/.f64 y x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal -1 binary64)) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) x))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (/.f64 x y))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (/.f64 (sqrt.f64 (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (neg.f64 (sqrt.f64 (/.f64 y x))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 y x) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (/.f64 y x)))))
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (/.f64 y x) #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (/.f64 y x)))))
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 x (/.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 y) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 (/.f64 y x)))))
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(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) #s(literal 0 binary64))
(fma.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (/.f64 y x) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 (/.f64 x y))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 x))) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) x #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64) (/.f64 x y))
(fma.f64 x (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal 0 binary64))
(fma.f64 (/.f64 x y) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal 0 binary64))
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 x y))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (/.f64 x y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 y x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 y x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y x))) #s(literal -2 binary64)))
(exp.f64 (log.f64 (/.f64 x y)))
(+.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) (/.f64 x y))
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(+.f64 (/.f64 x y) #s(literal 0 binary64))

eval234.0ms (14.9%)

Memory
-18.7MiB live, 54.5MiB allocated
Compiler

Compiled 3 206 to 900 computations (71.9% saved)

prune5.0ms (0.3%)

Memory
21.1MiB live, 21.1MiB allocated
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2760276
Fresh000
Picked011
Done011
Total2762278
Accuracy
100.0%
Counts
278 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(atan.f64 (/.f64 y x))
✓99.2%
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)))
Compiler

Compiled 20 to 18 computations (10% saved)

regimes8.0ms (0.5%)

Memory
-12.4MiB live, 26.0MiB allocated
Accuracy

Total -0.5b remaining (-12364.5%)

Threshold costs -0.5b (-12364.5%)

Counts
2 → 1
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)))
Outputs
(atan.f64 (/.f64 y x))
Calls

4 calls:

3.0ms
y
1.0ms
x
1.0ms
(/.f64 y x)
1.0ms
(atan.f64 (/.f64 y x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(atan.f64 (/.f64 y x))
100.0%1(/.f64 y x)
Compiler

Compiled 9 to 11 computations (-22.2% saved)

simplify27.0ms (1.7%)

Memory
-16.4MiB live, 39.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
Stop Event
1×saturated
Calls
Call 1
Inputs
(atan.f64 (/.f64 y x))
Outputs
(atan.f64 (/.f64 y x))

soundness0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Stop Event
1×done
Compiler

Compiled 4 to 4 computations (0% saved)

preprocess19.0ms (1.2%)

Memory
16.6MiB live, 16.6MiB allocated
Compiler

Compiled 22 to 22 computations (0% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

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