bug329 (missed optimization)

Time bar (total: 1.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated

analyze11.0ms (0.9%)

Memory
-22.1MiB live, 15.3MiB 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)

sample721.0ms (58.7%)

Memory
38.5MiB live, 902.4MiB allocated
Samples
463.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 254.0ms
ival-div: 153.0ms (60.2% of total)
ival-atan: 66.0ms (26% of total)
ival->=: 25.0ms (9.8% of total)
exact: 7.0ms (2.8% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

explain47.0ms (3.8%)

Memory
-2.4MiB live, 85.6MiB 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
21.0ms512×0valid
Compiler

Compiled 35 to 20 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (50.7% of total)
ival-atan: 3.0ms (38% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess46.0ms (3.8%)

Memory
2.8MiB live, 41.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
12426
23626
36026
411426
526526
654626
771126
877526
982626
1086226
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
0.2MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

simplify4.0ms (0.3%)

Memory
4.1MiB live, 4.1MiB 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

localize17.0ms (1.4%)

Memory
-1.4MiB live, 36.1MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 y x)
accuracy0.00390625
(atan.f64 (/.f64 y x))
Samples
11.0ms256×0valid
Compiler

Compiled 20 to 10 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (51.5% of total)
ival-atan: 1.0ms (25.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (1%)

Memory
-47.2MiB live, 5.9MiB 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
10.0ms
y
@-inf
((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
x
@inf
((atan (/ y x)) (/ y x))
0.0ms
x
@0
((atan (/ y x)) (/ y x))

simplify4.0ms (0.3%)

Memory
3.3MiB live, 3.3MiB 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)

rewrite68.0ms (5.5%)

Memory
15.2MiB live, 89.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
067
1147
2507
32227
012407
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
2 → 66
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 (neg.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 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 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 (neg.f64 x) y)))
(/.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 (neg.f64 (*.f64 y y)) (*.f64 y (neg.f64 x)))
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (*.f64 (*.f64 y y) (neg.f64 x)))
(/.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))
(fabs.f64 (/.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 (cosh.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (/.f64 y x))

eval8.0ms (0.6%)

Memory
24.4MiB live, 24.4MiB allocated
Compiler

Compiled 676 to 213 computations (68.5% saved)

prune4.0ms (0.3%)

Memory
-27.0MiB live, 9.3MiB allocated
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New67168
Fresh000
Picked011
Done000
Total67269
Accuracy
100.0%
Counts
69 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(atan.f64 (/.f64 y x))
▶99.5%
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)))
Compiler

Compiled 10 to 10 computations (0% saved)

simplify5.0ms (0.4%)

Memory
13.1MiB live, 13.1MiB 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-diff2
(/.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

localize24.0ms (1.9%)

Memory
-3.5MiB live, 44.4MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 x y)
accuracy0.00390625
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)))
accuracy0.4036770999279599
(/.f64 #s(literal 1 binary64) (/.f64 x y))
Samples
19.0ms256×0valid
Compiler

Compiled 36 to 14 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 8.0ms (84.4% of total)
ival-atan: 1.0ms (10.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.3%)

Memory
4.8MiB live, 4.8MiB 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
1.0ms
y
@-inf
((/ 1 (/ x y)) (atan (/ 1 (/ x y))) (/ x y))
1.0ms
x
@-inf
((/ 1 (/ x y)) (atan (/ 1 (/ x y))) (/ x y))
1.0ms
x
@0
((/ 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))

simplify4.0ms (0.3%)

Memory
4.6MiB live, 4.6MiB 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)

rewrite93.0ms (7.6%)

Memory
-2.6MiB live, 73.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0614
0910
12910
211510
353110
0338510
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
3 → 430
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 (/.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) (*.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) (pow.f64 (/.f64 y x) #s(literal -3 binary64))) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))
(*.f64 (/.f64 y (neg.f64 (*.f64 x x))) x)
(*.f64 (/.f64 y (neg.f64 (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 -3 binary64))) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 y x)))
(*.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))) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64))) (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 y x)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) (pow.f64 y #s(literal 1/2 binary64))) (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))) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 (neg.f64 y) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.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 (sqrt.f64 (/.f64 y x)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64))) (pow.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 y x)) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 y x)) (pow.f64 x #s(literal -1/2 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))) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 y x)))) (neg.f64 (sqrt.f64 (/.f64 y x))))
(*.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 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (/.f64 x y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (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))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
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(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 (neg.f64 x) (pow.f64 y #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 x (pow.f64 y #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 x (pow.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 x (pow.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 x (pow.f64 y #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (neg.f64 (sqrt.f64 (/.f64 x y))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (sqrt.f64 (/.f64 x y))) (fabs.f64 (sqrt.f64 (/.f64 x y))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) y))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 x y) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) #s(literal -1 binary64)) (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)) (neg.f64 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 (/.f64 y x) #s(literal -3 binary64)) (/.f64 #s(literal 1 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)) (*.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)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 y x))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 x y))
(fma.f64 (/.f64 #s(literal -1 binary64) y) x #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64) (/.f64 x y))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) x #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(fma.f64 (neg.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) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 x (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(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))
(-.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 (cosh.f64 (log.f64 (/.f64 y x))) (sinh.f64 (log.f64 (/.f64 y x))))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(fabs.f64 (/.f64 x y))
(exp.f64 (-.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (log.f64 (/.f64 x y)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 x y))
(+.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) (/.f64 x y))
(+.f64 (cosh.f64 (log.f64 (/.f64 y x))) (sinh.f64 (log.f64 (/.f64 x y))))
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(+.f64 (/.f64 x y) #s(literal 0 binary64))

eval67.0ms (5.5%)

Memory
6.3MiB live, 84.6MiB allocated
Compiler

Compiled 5 399 to 1 398 computations (74.1% saved)

prune38.0ms (3.1%)

Memory
-15.0MiB live, 22.6MiB allocated
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New4330433
Fresh000
Picked011
Done011
Total4332435
Accuracy
100.0%
Counts
435 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(atan.f64 (/.f64 y x))
✓99.5%
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 x y)))
Compiler

Compiled 20 to 18 computations (10% saved)

regimes5.0ms (0.4%)

Memory
12.8MiB live, 12.8MiB allocated
Accuracy

Total -0.3b remaining (-7834.1%)

Threshold costs -0.3b (-7834.1%)

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:

1.0ms
y
1.0ms
(/.f64 y x)
1.0ms
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)

simplify28.0ms (2.3%)

Memory
-19.1MiB live, 18.3MiB 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
0.5MiB live, 0.5MiB allocated
Stop Event
1×done
Compiler

Compiled 4 to 4 computations (0% saved)

preprocess19.0ms (1.6%)

Memory
27.7MiB live, 27.7MiB allocated
Compiler

Compiled 22 to 22 computations (0% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

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