acos(x)

Time bar (total: 1.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0.1%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
50%0%0%100%0%0%0%2
66.7%0%0%100%0%0%0%3
83.3%0%0%100%0%0%0%4
90.9%0%0%100%0%0%0%5
95.5%0%0%100%0%0%0%6
97.7%0%0%100%0%0%0%7
98.8%0%0%100%0%0%0%8
99.4%0%0%100%0%0%0%9
99.7%0%0%100%0%0%0%10
99.9%0%0%100%0%0%0%11
99.9%0%0%100%0%0%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample704.0ms (47%)

Memory
21.9MiB live, 313.4MiB allocated
Samples
400.0ms8 256×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 226.0ms
ival-acos: 154.0ms (68.1% of total)
ival-<=: 46.0ms (20.3% of total)
ival-and: 12.0ms (5.3% of total)
exact: 12.0ms (5.3% of total)
ival-assert: 3.0ms (1.3% of total)
Bogosity

explain35.0ms (2.3%)

Memory
54.2MiB live, 54.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(acos.f64 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 12 to 10 computations (16.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-acos: 10.0ms (98.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess59.0ms (3.9%)

Memory
-29.2MiB live, 17.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
1107
2147
3177
4217
5287
6357
022
032
032
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(acos.f64 x)
Outputs
(acos.f64 x)
Compiler

Compiled 2 to 2 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(acos.f64 x)
Compiler

Compiled 2 to 2 computations (0% saved)

simplify2.0ms (0.2%)

Memory
2.8MiB live, 2.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff0
(acos.f64 x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023
033
033
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(acos.f64 x)
x
Outputs
(acos.f64 x)
x

localize14.0ms (0.9%)

Memory
19.4MiB live, 19.4MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(acos.f64 x)
Samples
10.0ms256×0valid
Compiler

Compiled 5 to 4 computations (20% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-acos: 5.0ms (100.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Counts
1 → 1
Calls
Call 1
Inputs
(acos.f64 x)
Outputs
(acos x)
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
((acos x))
0.0ms
x
@inf
((acos x))
0.0ms
x
@-inf
((acos x))

simplify2.0ms (0.1%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022
022
Stop Event
iter limit
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(acos x)
Outputs
(acos x)
(acos.f64 x)

rewrite168.0ms (11.2%)

Memory
51.2MiB live, 51.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022
032
182
2482
34032
478322
085552
Stop Event
iter limit
node limit
iter limit
Counts
1 → 168
Calls
Call 1
Inputs
(acos.f64 x)
Outputs
(*.f64 (/.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (acos.f64 x)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 x) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 x) (-.f64 (asin.f64 x) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x)) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x))))
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x)) (-.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (acos.f64 x)) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (acos.f64 x))) (acos.f64 x))
(*.f64 (pow.f64 (-.f64 (PI.f64) (acos.f64 x)) #s(literal -1 binary64)) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (acos.f64 x)))
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x))) #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 x) #s(literal 3 binary64))))
(*.f64 (neg.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (acos.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (PI.f64) (acos.f64 x)))))
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x))))))
(*.f64 (-.f64 (PI.f64) (acos.f64 x)) (/.f64 (acos.f64 x) (-.f64 (PI.f64) (acos.f64 x))))
(*.f64 (-.f64 (PI.f64) (acos.f64 x)) (*.f64 (acos.f64 x) (pow.f64 (-.f64 (PI.f64) (acos.f64 x)) #s(literal -1 binary64))))
(*.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (acos.f64 x)) (pow.f64 (-.f64 (PI.f64) (acos.f64 x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x))) (/.f64 (acos.f64 x) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x))) (*.f64 (acos.f64 x) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x))) #s(literal -1 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (neg.f64 (asin.f64 x)) (-.f64 (neg.f64 (asin.f64 x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (acos.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (acos.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 x) #s(literal 4 binary64))) (pow.f64 (-.f64 (PI.f64) (acos.f64 x)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 (asin.f64 x) #s(literal 6 binary64))) (pow.f64 (-.f64 (PI.f64) (acos.f64 x)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 x) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 (asin.f64 x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x))) #s(literal -1 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (asin.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 9 binary64)) (pow.f64 (asin.f64 x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/64 binary64) (+.f64 (/.f64 (pow.f64 (*.f64 (asin.f64 x) (PI.f64)) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 x) #s(literal 6 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (-.f64 (PI.f64) (acos.f64 x)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (-.f64 (PI.f64) (acos.f64 x))))) (*.f64 (/.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (-.f64 (PI.f64) (acos.f64 x))) (/.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (-.f64 (PI.f64) (acos.f64 x))))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (-.f64 (PI.f64) (acos.f64 x))) (/.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (-.f64 (PI.f64) (acos.f64 x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x))))) (*.f64 (/.f64 (pow.f64 (asin.f64 x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x)))) (/.f64 (pow.f64 (asin.f64 x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x)))))) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x)))) (/.f64 (pow.f64 (asin.f64 x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 x) #s(literal 2 binary64))) (neg.f64 (acos.f64 x)))
(/.f64 (-.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (-.f64 (neg.f64 (asin.f64 x)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (-.f64 (PI.f64) (acos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (-.f64 (PI.f64) (acos.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (-.f64 (PI.f64) (acos.f64 x)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (-.f64 (PI.f64) (acos.f64 x)))) (fma.f64 (/.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (-.f64 (PI.f64) (acos.f64 x))) (/.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (-.f64 (PI.f64) (acos.f64 x))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (-.f64 (PI.f64) (acos.f64 x)))) (/.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (-.f64 (PI.f64) (acos.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (asin.f64 x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x)))) (fma.f64 (/.f64 (pow.f64 (asin.f64 x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x)))) (/.f64 (pow.f64 (asin.f64 x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x)))) (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x)))) (/.f64 (pow.f64 (asin.f64 x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x))))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (acos.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (acos.f64 x)))) (neg.f64 (neg.f64 (-.f64 (PI.f64) (acos.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x))))))
(/.f64 (*.f64 (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (acos.f64 x)) #s(literal 1 binary64)) (-.f64 (PI.f64) (acos.f64 x)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 x) #s(literal 2 binary64))) (-.f64 (PI.f64) (acos.f64 x))))
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(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (-.f64 (PI.f64) (acos.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (-.f64 (PI.f64) (acos.f64 x)))))
(fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (neg.f64 (asin.f64 x)) (-.f64 (neg.f64 (asin.f64 x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 0 binary64))
(fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (asin.f64 x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x))))))
(fma.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64) (neg.f64 (asin.f64 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal -1/2 binary64)) (neg.f64 (asin.f64 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (neg.f64 (asin.f64 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (asin.f64 x)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x))))))
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (-.f64 (PI.f64) (acos.f64 x))) (neg.f64 (/.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (-.f64 (PI.f64) (acos.f64 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (cbrt.f64 (PI.f64))) #s(literal -1/2 binary64)) (neg.f64 (asin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) #s(literal 1 binary64)) (neg.f64 (asin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64))) (neg.f64 (asin.f64 x)))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 x)))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (PI.f64)))) (neg.f64 (asin.f64 x)))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 x)))
(fma.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (asin.f64 x)))
(fma.f64 #s(literal 1 binary64) (acos.f64 x) #s(literal 0 binary64))
(fma.f64 (asin.f64 x) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (PI.f64) (acos.f64 x))) (neg.f64 (/.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (-.f64 (PI.f64) (acos.f64 x)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1 binary64) (neg.f64 (asin.f64 x)))
(fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (PI.f64) (acos.f64 x))) (neg.f64 (/.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (-.f64 (PI.f64) (acos.f64 x)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 x)))
(-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 0 binary64)) (asin.f64 x))
(-.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (-.f64 (PI.f64) (acos.f64 x))))) (/.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (-.f64 (PI.f64) (acos.f64 x))))
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x))))) (/.f64 (pow.f64 (asin.f64 x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x)))))
(-.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (asin.f64 x))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) #s(literal 0 binary64)) (asin.f64 x))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (-.f64 (PI.f64) (acos.f64 x)))) (/.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (-.f64 (PI.f64) (acos.f64 x))))
(-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x)))) (/.f64 (pow.f64 (asin.f64 x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x)))))
(-.f64 #s(literal 0 binary64) (-.f64 (asin.f64 x) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (acos.f64 x)))
(-.f64 (neg.f64 (asin.f64 x)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 x))
(+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 0 binary64)) (neg.f64 (asin.f64 x)))
(+.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (asin.f64 x)))
(+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (-.f64 (PI.f64) (acos.f64 x)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (-.f64 (PI.f64) (acos.f64 x)))))
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (-.f64 (PI.f64) (acos.f64 x)) (asin.f64 x))))))
(+.f64 #s(literal 0 binary64) (acos.f64 x))
(+.f64 (neg.f64 (asin.f64 x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (asin.f64 x)))
(+.f64 (acos.f64 x) #s(literal 0 binary64))
(acos.f64 x)

eval46.0ms (3.1%)

Memory
-61.1MiB live, 16.5MiB allocated
Compiler

Compiled 4 651 to 529 computations (88.6% saved)

prune2.0ms (0.2%)

Memory
6.4MiB live, 6.4MiB allocated
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1681169
Fresh000
Picked011
Done000
Total1682170
Accuracy
100.0%
Counts
170 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 x)))
100.0%
(acos.f64 x)
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify50.0ms (3.3%)

Memory
4.6MiB live, 4.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(pow.f64 (PI.f64) #s(literal 1/4 binary64))
cost-diff1
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))
cost-diff8
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 x)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01141
02041
13337
25736
310931
420131
532431
651131
773631
895631
9108831
10121631
11125831
12126231
13141431
14141431
0141431
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 x)))
(pow.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1/2 binary64)
(sqrt.f64 (PI.f64))
(neg.f64 (asin.f64 x))
(asin.f64 x)
x
Outputs
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 x)))
(neg.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 x)))
(pow.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 3 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (PI.f64))
(neg.f64 (asin.f64 x))
(asin.f64 x)
x

localize39.0ms (2.6%)

Memory
19.7MiB live, 19.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(asin.f64 x)
accuracy0.0
(PI.f64)
accuracy0.5875014523148235
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 x)))
accuracy1.0
(sqrt.f64 (PI.f64))
Samples
29.0ms256×0valid
Compiler

Compiled 44 to 14 computations (68.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 5.0ms (24.1% of total)
ival-pow: 5.0ms (24.1% of total)
ival-asin: 4.0ms (19.2% of total)
ival-sqrt: 2.0ms (9.6% of total)
ival-pi: 1.0ms (4.8% of total)
ival-add: 1.0ms (4.8% of total)
ival-neg: 1.0ms (4.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
2.3MiB live, 2.3MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 x)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))
(pow.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
(sqrt.f64 (PI.f64))
(asin.f64 x)
Outputs
(- (* 1/2 (PI)) (asin x))
(asin x)
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
((+ (* (pow (PI) 1/4) (* (pow (PI) 1/4) (* 1/2 (sqrt (PI))))) (neg (asin x))) (* (pow (PI) 1/4) (* 1/2 (sqrt (PI)))) (pow (PI) 1/4) (PI) (sqrt (PI)) (asin x))
1.0ms
x
@inf
((+ (* (pow (PI) 1/4) (* (pow (PI) 1/4) (* 1/2 (sqrt (PI))))) (neg (asin x))) (* (pow (PI) 1/4) (* 1/2 (sqrt (PI)))) (pow (PI) 1/4) (PI) (sqrt (PI)) (asin x))
0.0ms
x
@-inf
((+ (* (pow (PI) 1/4) (* (pow (PI) 1/4) (* 1/2 (sqrt (PI))))) (neg (asin x))) (* (pow (PI) 1/4) (* 1/2 (sqrt (PI)))) (pow (PI) 1/4) (PI) (sqrt (PI)) (asin x))

simplify7.0ms (0.5%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
198
2148
3208
4358
5548
61008
71458
82008
92188
102268
02268
Stop Event
iter limit
saturated
Counts
2 → 2
Calls
Call 1
Inputs
(- (* 1/2 (PI)) (asin x))
(asin x)
Outputs
(- (* 1/2 (PI)) (asin x))
(neg.f64 (fma.f64 #s(literal -1/2 binary64) (PI.f64) (asin.f64 x)))
(asin x)
(asin.f64 x)

rewrite235.0ms (15.7%)

Memory
-61.4MiB live, 60.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01131
02031
17118
246015
3596315
0857815
Stop Event
iter limit
node limit
iter limit
Counts
6 → 518
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 x)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))
(pow.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
(sqrt.f64 (PI.f64))
(asin.f64 x)
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 x)) (acos.f64 x)) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (asin.f64 x) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (neg.f64 (asin.f64 x)) (acos.f64 x))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 x))) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 x)) (acos.f64 x) (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (asin.f64 x))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (asin.f64 x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (asin.f64 x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 x))) (-.f64 (*.f64 (asin.f64 x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 x)) (acos.f64 x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 x)) (acos.f64 x))) (acos.f64 x))
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(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 x)))) #s(literal -1 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 x) #s(literal 3 binary64))))
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(fma.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/24 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3/8 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/24 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3/8 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (acos.f64 x))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/24 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3/8 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3/8 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (acos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3/8 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (acos.f64 x))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/16 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3/8 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))) (neg.f64 (acos.f64 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 3/4 binary64)) (*.f64 (neg.f64 (acos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 3/4 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (acos.f64 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 3/4 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3/8 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (acos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3/8 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (acos.f64 x))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3/8 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (neg.f64 (acos.f64 x)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 x)) (acos.f64 x)) (neg.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 x)) #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -1 binary64) (acos.f64 x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (asin.f64 x)) #s(literal 0 binary64))
(fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 x) #s(literal 3 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (asin.f64 x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 x)))) #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (acos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (acos.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (acos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (acos.f64 x))))
(fma.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (acos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (acos.f64 x))))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (neg.f64 (acos.f64 x)))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (acos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (acos.f64 x))))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) (neg.f64 (acos.f64 x)))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (acos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (acos.f64 x))))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (neg.f64 (acos.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1 binary64) (neg.f64 (acos.f64 x))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (acos.f64 x)))
(fma.f64 #s(literal 1 binary64) (asin.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1 binary64) (*.f64 (neg.f64 (acos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (acos.f64 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1 binary64) (neg.f64 (acos.f64 x)))
(fma.f64 (neg.f64 (asin.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (asin.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (acos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (acos.f64 x))))
(fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 (neg.f64 (acos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1 binary64) (neg.f64 (acos.f64 x))))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (acos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (acos.f64 x))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (neg.f64 (acos.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1 binary64) (neg.f64 (acos.f64 x))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (acos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (acos.f64 x))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (neg.f64 (acos.f64 x)) #s(literal 1 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (acos.f64 x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 x)))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 x))) (/.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 x))))
(-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (acos.f64 x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 x))))) (/.f64 (pow.f64 (acos.f64 x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64) (*.f64 (acos.f64 x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (acos.f64 x))))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (asin.f64 x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 x))
(+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 x)))) (/.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 x))))
(+.f64 (neg.f64 (acos.f64 x)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 #s(literal 0 binary64) (asin.f64 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (neg.f64 (acos.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1 binary64) (neg.f64 (acos.f64 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (acos.f64 x)))
(+.f64 (asin.f64 x) #s(literal 0 binary64))

eval100.0ms (6.7%)

Memory
-11.1MiB live, 69.4MiB allocated
Compiler

Compiled 16 183 to 2 239 computations (86.2% saved)

prune8.0ms (0.5%)

Memory
25.6MiB live, 25.6MiB allocated
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New7091710
Fresh000
Picked101
Done011
Total7102712
Accuracy
100.0%
Counts
712 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 x)))
100.0%
(acos.f64 x)
Compiler

Compiled 49 to 29 computations (40.8% saved)

regimes3.0ms (0.2%)

Memory
3.4MiB live, 3.4MiB allocated
Accuracy

Total -0.6b remaining (-15040%)

Threshold costs -0.6b (-15040%)

Counts
3 → 1
Calls
Call 1
Inputs
(acos.f64 x)
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 x)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (asin.f64 x)))
Outputs
(acos.f64 x)
Calls

2 calls:

1.0ms
(acos.f64 x)
1.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(acos.f64 x)
Compiler

Compiled 3 to 3 computations (0% saved)

simplify9.0ms (0.6%)

Memory
5.0MiB live, 5.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022
Stop Event
saturated
Calls
Call 1
Inputs
(acos.f64 x)
Outputs
(acos.f64 x)

soundness0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Stop Event
fuel
Compiler

Compiled 2 to 2 computations (0% saved)

preprocess12.0ms (0.8%)

Memory
8.1MiB live, 8.1MiB allocated
Compiler

Compiled 8 to 8 computations (0% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

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